otices - NOTICES OF THE AMERICAN MATHEMATICAL ...

OTICES OF THE

MA'UHEMATICAL SOCIETY

Survey of American Research Journals page 1339

Cincinnati Meeting (January 12-15) page 1376

DECEMBER 1993, VOLUME 40, NUMBER 10

Providence, Rhode Island, USA

ISSN 0002-9920

Calendar of AMS Meetings and Conferences

This calendar lists all meetings and conferences approved prior to the date this issue went to press. The summer and annual meetings are joint meetings with the_ Mathematical Association of America. Abstracts of papers presented at a meeting of the Society are published in the journal Abstracts of papers presented to the American Mathematical Society in the issue corresponding to that of the Notices which contains the program of the meeting,

insofar as is possible. Instructions for submission of abstracts can be found in the January 1993 issue of the Notices on page 46. Abstracts of papers to be presented at the meeting must be received at the headquarters of the Society in Providence, Rhode Island, on or before the deadline given below for the meeting. Note that the deadline for abstracts for consideration for presentation at special sessions is usually three weeks earlier than that specified below.

Meetings !Xi~~~·

Meeting# Date

889 t January 12-15, 1994 (100th Annual Meeting) 890 • March 18-19, 1994 891 • March 25-26, 1994 892 • April8-10, 1994 893 • June 16-18, 1994 894 • August 15-17, 1994 (96th Summer Meeting)

October 28-29, 1994 November 11-13, 1994 January 4-7, 1995 (101st Annual Meeting) March 4-5, 1995 March 17-18, 1995 March 24-25, 1995 November 3-4, 1995 January 1Q-13, 1996 (102nd Annual Meeting) March 22-23, 1996 April19-21, 1996 January 8-11, 1997 (1 03rd Annual Meeting)

• Please refer to page 1435 for listing of Special Sessions. t Please refer to the Table of Contents for further information.

Conferences ·~··

Place

Cincinnati, Ohio Lexington, Kentucky Manhattan, Kansas Brooklyn, New York Eugene, Oregon Minneapolis, Minnesota Stillwater,· Oklahoma Richmond, Virginia San Francisco, California Hartford, Connecticut Orlando, Florida Chicago, Illinois Kent, Ohio Orlando, Florida Iowa City, Iowa Baton Rouge, Louisiana San Diego,Califomia

January 1 Q-11 , 1994: AMS Short Course on Complex Analytic Dynamics, Cincinnati, Ohio.

Abstract Deadline

Expired December28 December28 January 28 April4 May17 August3 August3 October1

Program Issue

December March March April May-June July-August October October December

June 7-11, 1994: AMS Symposium in Research Mathematics on Quantization and Nonlinear Wave Equations, Massachusetts Institute of Tecnology, Cambridge, Massachusetts.

June 11-July 6, 1994: Joint Summer Research Conferences in the Mathematical Sciences, Mt. Holyoke College, South Hadley, Massachusetts June 20-July 1, 1994: AMS-SIAM Summer Seminar in Applied Mathematics on Dynamical Systems and Probabilistic Methods for Nonlinear Waves,

Mathematical Sciences Research Institute, Berkeley, California.

Other Events Cosponsored by the Society ·~ ................................................. .

February 18-23, 1994: Section A (Mathematics) Sessions at the AAAS Annual Meeting, San Francisco, California.

Deadlines

Classified Ads* News Items Meeting Announcements**

February Issue

January 5, 1994 December 23, 1993 December 30, 1993

March Issue

January 26, 1994 January 17, 1994 January 20, 1994

April Issue

February 22, 1994 February 13, 1994 February 17, 1994

• Please contact AMS Advertising Department for an Advertising Rate Card for display advertising deadlines. •• For material to appear in the Mathematical Sciences Meetings and Conferences section.

May-June Issue

April 25, 1994 April11, 1994 April 18, 1994

......................................................................................................................_-------_ ..

TICESOF THE

AMERICAN MATHEMATICAL SOCIETY

DEPARTMENTS

ARTICLES

1335 Jaco to Leave the AMS In Two Years' Time

AMS Executive Director William H. Jaco has announced that he will leavethe AMS in 1995 to return to Oklahoma State University. This article, writtenby Allyn Jackson, looks at some of the major issues facing the communityduring Jaco's tenure and at plans for the future.

1337 The Gordon & Breach Lawsuit against the AMS

In 1989, Gordon & Breach Science Publishers sued the AMS over thejournal price survey published in the Notices in that year. Allyn Jacksonpresents an update on what has happened since the suit was filed.

1339 Survey of American Research Journals

This is the Society's fourth cost-comparison study of mathematical researchjournals-the first of which was published in 1983-compiled by the AMS asa service to research libraries and the mathematical sciences community.The AMS has brought that information up to date in this survey, expanded toinclude comparisons between subscription years 1988, 1990, and 1992.

FEATURE COLUMNS

1352 Computers and Mathematics Keith Devlin

Keith Devlin considers some recent controversy concerning the roleof proofs in mathematics. Then Tom Scavo, Yannis Haralambous,and Werenfried Spit present their results of a comparison of threenoncommercial implementations of TeX for the Macintosh.

1362 Inside the AMS

This month's column contains a description of the Society's SponsoredMembership Program and an explanation of the new pricing structure forMathematical Reviews products.

1364 Washington. Outlook

This month's column, written by Lisa Thompson, reports on the NSFappropriation for fiscal year 1994 and provides some insight on the politicalcurrents in Washington that are influencing the future of the NSF.

DECEMBER 1993, VOlUME 40, NUMBER 10

1331 Letters to the Editor

1345 Forum

1366 News and Announcements

1371 Funding Information for theMathematical Sciences

1373 1994 AMS Election

1376 Meetings and Conferences ofthe AMSCincinnati, OH

January 12-15, 1376Invited Addresses and SpecialSessions, 1435Joint Summer ResearchConferences in the MathematicalSciences, 1438Symposium on Quantization andNonlinear Wave Equations, 1440Call for Topics, 1442

1443 Mathematics Sessions at theAAAS Annual Meeting

1444 Mathematical Sciences Meetingsand Conferences

1454 New Publications Offered by theAMS

1460 AMS Reports andCommunicationsRecent Appointments, 1460

1461 MiscellaneousPersonal Items, 1461Deaths, 1461Visiting Mathematicians, 1461

1462 New Members of the AMS

1465 Classified Advertising

1517 Forms

1528 Index

1329


EDITORIAL COMMITTEE Sheldon Axler Amassa C. Fauntleroy Robert M. Fossum (Chairman) Susan J. Friedlander (Forum Editor) Carolyn S. Gordon Carl R. Riehm L. Ridgway Scott (Letters Editor)

MANAGING EDITOR John S. Bradley

ASSOCIATE EDITORS Jeffrey C. Lagarias, Special Articles

ASSOCIATE MANAGING EDITOR Allyn Jackson

SUBSCRIPTION INFORMATION Subscription prices for Volume 40 (1993) are $139 list; $111 institutional member; $83 individual member. (The subscription price for members is included in the annual dues.) A late charge of 10% of the subscription price will be imposed upon orders received from nonmembers after January 1 of the subscription year. Add for postage: Surface delivery outside the United States and lndia-$15; to lndia-$28; expedited delivery to destinations in North America-$32; elsewhere-$67. Subscriptions and orders for AMS publications should be addressed to the American Mathematical Society, P.O. Box 5904, Boston, MA 02206-5904. All orders must be prepaid.

ADVERTISING Notices publishes situations wanted and classified advertising, and display advertising for publishers and academic or scientific organizations.

@ Copyright 1993 by the American Mathematical Society. All rights reserved.

Printed in the United States of America.

§ The paper used in this journal is acid-free and falls within the guidelines established to ensure permanence and durability.

0 Printed on recycled paper.

Most of this publication was typeset using the TEX typesetting system.

[Notices of the American Mathematical Society is published monthly except bimonthly in May, June, July, and August by the American Mathematical Society at 201 Charles Street, Providence, Rl 02904-2213. Second class postage paid at Providence, Rl and additional mailing offices. POSTMASTER: Send address change notices to Notices of the American Mathematical Society, Customer Service Department, American Mathematical Society, P. 0. Box 6248, Providence, Rl 02940-6248.] Publication here of the Society's street address, and the other information in brackets above, is a technical requirement of the U. S. Postal Service. All correspondence should be mailed to the Post Office Box, NOT the street address. Tel: 401-455-4000. e-mail: ams~math.ams.org.

1330

From the Executive Director ...

BALANCING LITIGATION COST AND SERVICE

This issue of the Notices contains the fourth AMS Survey of American Research Journals (pages 1339-1344). Over ten years ago the Society decided that periodically compiling and publishing cost comparison studies of research journals would benefit the entire mathematical community. These surveys use public information available to librarians, department heads, or individual mathematicians. However, compiling, organizing, and disseminating this information is a chore an individual is unlikely to take on. This is a good example of how the AMS can serve the broad mathematical community through collective representation.

Following the first AMS survey, published in November 1983, the AMS received notification from attorneys for Gordon & Breach (G&B) Scientific Publishers, Inc., objecting to the survey as it related to G&B journals. The AMS yielded to pressure not to publish a complete survey, and in its second survey, published in March 1986, the AMS did not include Gordon & Breach journals. However, when it published its third survey in November 1989, the AMS included data on Gordon & Breach journals, data which had been modified and verified by G&B and returned to the AMS for publication. After publication of the third survey, attorneys for Gordon & Breach wrote to the AMS demanding a retraction. The January 1990 Notices carried comment in this column on the threat to the journal price survey posed by the actions of Gordon & Breach. In February 1990, without any hearing that included the AMS, Gordon & Breach brought suit against the AMS in a German court and obtained an injunction barring the AMS from distributing in Germany any journal price survey that included journals published by G&B. A history of this lawsuit against the AMS and related lawsuits brought by Gordon & Breach against the American Institute of Physics (AlP) and the American Physical Society (APS) appears in an article on pages 1337-1338 in this issue of the Notices.

The actions filed in Germany by Gordon & Breach against AlP and APS are slightly different from those against the AMS; in addition, G&B has taken court actions against AlP and APS in France, Switzerland, and (recently) the U.S. Since all but the last of these cases were in progress when Gordon & Breach took action against the Society, AMS counsel advised awaiting the outcomes of these cases, as they could guide the AMS in its actions. The outcome in Germany went in favor of AIP/APS. Based on the court's position in the AIP/APS case and the case for the AMS, both U.S. and German counsel for the Society believe the AMS is in a strong position in Germany and chances are good for having the injunction lifted.

The AMS does not agree with the actions taken by Gordon & Breach. However, after considerable study of the issues and of the financial risk that the AMS would incur in taking legal action, the Board of Trustees decided to take no direct legal action at this time. This was an extremely difficult decision because of the importance of the issues surrounding the cost of research journals and because the Gordon & Breach actions prevent an open flow of information and open debate, which are in the best interest of the community. The AMS is making every attempt to serve the community in keeping the cost of research journals low, and therefore argues strongly for the open flow of information and open debate on the cost of research journals. And yet, the Society is in a rather strange position because the funds needed for the AMS to take legal action would have to be drawn from revenue the AMS receives from its membership and the library community. Therefore, legal action by the AMS could result in increased cost of AMS research journals. This was deemed unacceptable by the Trustees, hence their decision to take no legal action at this time.

There is increasingly vocal opposition to the rising cost of research journals. But the single most effective voice may be the research mathematicians themselves, those mathematicians who make up the editorial boards of the journals and who publish in the journals. In addition, it is primarily these mathematicians who insist that their libraries have available all the important literature. As long as we, the mathematicians, support and serve the high-cost research journals, they will persist.

William Jaco

NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY

Letters

to the Editor

AMS fSU Aid Fund I am writing regarding the distribution of AMS grants to support mathematicians in the fSU. Nobody argues that our colleagues in the fSU are in dire need of help at this tumultuous time. My question, however, concerns the implementation of grants. Looking at the list of recipients, which includes many wellestablished and highly-respected people in the field, I found that a sizable number of them have current appointments or were recently supported by various institutions in the West. Of course, there is nothing wrong in inviting those outstanding people abroad. One might wonder, however, if such people would be best qualified for a $500/year subsistence grant.

It seems the help program was designed to alleviate the strife of many rather than to reward the achievements of the few. Clearly, some selection has to be made, given the limited funds; but shouldn't the help be based on the real need more than merit. Or do we want the fSU program to be run the NSF (Polking's) way with the thickest pieces of pie going to the fattest cats?

David Gurarie Case Western Reserve University

(Received September 2, 1993)

Response from Robert MacPherson, Chair, AMS Advisory Committee for fSU Mathematics:

Mr. Gurarie's letter addresses a complicated issue that has received a lot of consideration from those of us involved in the AMS fSU Aid Fund.

First let me clarify what our policies are with respect to grant recipients who travel abroad. No mathematician who has an arrangement to visit a Westem university on a regular basis was awarded a grant in the first place. No grantee may be paid for any month during which he or she is abroad, so grantees who travel often receive considerably less than $600 per year. (Furthermore,

some fSU mathematicians who have received money from Western sources declined AMS grants on the basis that they have less need than some of their colleagues. Others who accepted AMS grants are passing the money on to their students.)

No one claims that our system is without flaws. However, it seemed better to us than any of the alternatives that we could imagine. Should we exclude anyone who is abroad for longer than a certain length of time? I know fSU mathematicians who barely break even on their trips abroad. They travel solely to establish mathematical contacts that were impossible for them during the previous era. Should we limit how much money they can earn? We have been unable to think of a fair and workable scheme for enforcing such a limit that wouldn't necessitate major expenditures for administration. Even if that could be done, it might be counterproductive. Grantees who are abroad have told me that their AMS grant can make a difference in their decision as to whether to return to the fSU. They worry about what will happen after they run out of the dollars they have earned if they find themselves unable to go abroad again.

I share Mr. Gurarie's concern for the many fSU mathematicians who won't receive AMS grants. We will end up giving grants to about 450 mathematicians, which is far more than anyone imagined was possible when we began the program a year ago. However, there were over 5,000 applicants for our grants. If we divided the money among a large fraction of these 5,000 mathematicians, each one would receive a negligible amount.

We are attempting to help these many mathematicians professionally, if not financially. We are supporting their access to current mathematical literature through our aid to libraries. We are supporting the mathematical infrastructure, including e-mail access, assistance to high schools, and support of some new independent mathematical institutions. Finally, we are helping the many by enabling the 450 mathematicians who receive our grants to remain in the fSU and to remain active in mathematics. The


activity of these 450 mathematicians is important to the continued survival of the mathematical enterprise as a whole. They were selected on the basis of the strength of their research and teaching, in the first-ever peer review of fSU mathematicians.

Incidentally, we have also received the opposite criticism to that of Mr. Gurarie-that a world-renowned senior mathematician and a virtually unknown fresh Ph.D. both received the same size grants from the AMS. I have less personal sympathy for this criticism. Nevertheless, the same basic answer applies: Whenever we try to construct a concrete rule designed to correct this, we find upon further reflection that the rule creates more difficulties than it solves.

Robert MacPherson Massachusetts Institute

of Technology

Russians Overlooked in History of Mathematics Texts

Recently I came across the two following texts on the history of mathematics:

H. Eves, An Introduction to the History of Mathematics, sixth edition, Harcourt Brace Jovanovich College Publishers, The Saunders Series, 1990, 775 pages;

D. M. Burton, The History of Mathematics, An Introduction, second edition, Wm. C. Brown Publishers, 1991, 678 pages.

Letters to the Editor Letters submitted for publication in the Notices are reviewed by the Editorial Committee.

The Notices does not ordinarily publish complaints about reviews of books or articles, although rebuttals and correspondence concerning reviews in Bulletin of the American Mathematical Society will be considered for publication.

Letters should be typed and in legible form or they will be returned to the sender, possibly resulting in a delay of publication. All published letters must include the name of the author. Letters which have been, or may be, published elsewhere will be considered, but the Managing Editor of the Notices should be informed of this fact when the letter is submitted.

The committee reserves the right to edit letters.

Letters should be mailed to the Editor of the Notices, American Mathematical Society, P. 0. Box 6248, Providence, RI 02940, or sent by email to noticestDmath. ams. org, and will be acknowledged on receipt.

1331

·---·---·---·-·-·-·-·-·-··""""""""""""""""""""""""""""""""""""""""""""""""""""""""""-"""""""""""""""""""""""""""""""""""""""""""""""""""""""""""""---------·--·-·-·-··-·-·-·-·-·-·-·-·-·--·-·-·······---··········-··-·-·-···········-····--·-·-·-·--·-·-·-···-·-·--·····--·-·-··-·-·-··-·-·-·-····-·-····-··----

There is no room here to discuss in detail the contents and the standpoints of the above books. I would like to dwell only on one defect common to both texts. I have in mind the incredible discrimination the Russian School in Mathematics is subjected to. I hardly need to explain in an AMS magazine whoP. S. Chebyshev was and what contribution was made by this great mathematician. It is inconceivable, but he is not mentioned in the great space of either text at all! The same fate befell another great Russian mathematician, A. A. Markov, Sr. It is true that Markov chains are mentioned once in Eves's book, but even on this occasion Markov himself is not mentioned. Incidentally, both Chebyshev and Markov were not only great mathematicians but remarkable personalities as well. What educational value sections about them could have! The list of incredible omissions could be easily continued: A. M. Lyapunov, N. N. Luzin, S. N. Bernstein, A. N. Kolmogorov, P. S. Alexandrov, A. A. Markov, Jr., S. L. Sobolev ....

On the other hand, one can find in the indices, say, the following names: Solon; Hitler; Mary, Queen of Scots; Felix; Moses and Abraham Mendelssohns; Philip II; etc. (Eves's text) or Marquise de Pompadour, Plutarch, Luther, Calvin, Leo Tolstoy, Louis IX-XVIII, Louis-Philippe, etc. (Burton's text).

It is painful to think that thanks to the above texts a conscientious, hardworking student can complete her/his class in the history of mathematics not even suspecting that such mathematicians as Chebyshev, Markov, Kolmogorov, ... ever existed.

Boris A. Kushner University of Pittsburgh

at Johnstown (Received July 19, 1993)

Response from David M. Burton: Dr. Kushner raises a valid point.

If I had written a work comparable to Morris Kline's 1200-page Mathematical Thought from Ancient to Modern Times, then Chebyshev, Markov et al. would surely have made their appearances. But in a textbook of more modest scope, such as my The History of Mathematics, An Introduction, the author must resist the temptation to cite the contribution

1332

Letters to the Editor

of every productive mathematician. As I observe in the preface, "It stands to reason that not everyone will be satisfied with the choices."

While names of nonmathematicians such as the Marquise de Pompadour, Plutarch, or Luther occur in the text, they are usually accorded only a single sentence. Further reading of the index would have revealed such Russian mathematicians as Gelfand, Goldbach, Kovalevsky, Lobachevsky, Ostrogradski, Schnirelman, and Vinogradov. I might add that the forthcoming third edition of the book contains a section on point-set topology, in which the efforts of Alexandrov and Urysohn are discussed.

David M. Burton University of New Hampshire

Advising Ph.D. Students Something that has not been mentioned in Allyn Jackson's articles over the last few years on the dearth of jobs for new Ph.D.s is the attitude of tenured faculty at research schools toward industry.

My impression is that the majority of faculty members in university math departments have spent their entire careers since graduate school as math researchers and have little or no industry experience. They have a holier-thanthou attitude about industry and think that for a Ph.D. to go into industry is a waste of his or her degree.

In Jackson's article "Jobs, Grants, and the New Ph.D." in the September Notices, she quotes Fred Gylys-Colwell, who suggests asking your professor for names of people working in industry whom you can call. I doubt most career researchers could name many such people. Given the high average age of math faculty, it is even less likely that your professor could give you up-to-date information about what is going on now outside his or her university.

When I was job hunting in the spring of 1992 and having little luck, it was suggested to me by someone on the faculty that I delay graduating for a year, since the job market would be better then for academic jobs, rather than taking an industry job and ruining my chances to get back into research. My thesis adviser, who was very supportive of my decision


to graduate rather than delay for a year and was as helpful as possible in my job search, acknowledged the difficulty of returning to research after being away from it.

I don't mean to sound bitter about the lack of jobs. I certainly don't think the world owes me a living. But the fact is that things are different now, and a faculty adviser can't give good advice if he doesn't acknowledge the state of the job market.

I think universities are missing out on a potentially strong lure to undergraduates who might declare a math major if they could see some future in it in the job market. Faculty with industry experience, or some knowledge of what mathematicians can do in industry, would be a great encouragement to students with abilities in math who might otherwise major in engineering or business, where they think they have better chances at landing jobs after graduation.

Susan Diesel MathSoft, Inc.

Cambridge, MA (Received August 30, 1993)

Jobs, Grants, and the New Ph.D. The idea that" ... women Ph.D.s have a significant edge in the job market, ... " ("Jobs, Grants, and the New Ph.D.," Notices, July/August 1993) is contradicted by the facts presented in the "1992 Annual AMS-MAA Survey (Second Report)". A quick review of this survey reveals that the difference between unemployment rates for men and women receiving Ph.D.s in the mathematical sciences in 1991-1992 is statistically insignificant. Of the 781 new male Ph.D.s who were tracked, fiftyfour were still seeking employment as of March 1993. Thirteen of the 214 new female Ph.Ds were in the same situation. This yields unemployment rates of 6.9% for men and 6.1% for women, not a statistically significant difference. Furthermore, 30.5% of these men were employed by Ph.D.-granting or research institutions, while only 24.3% of the women had the same success. Assuming that there is some continuity in hiring patterns between 1992 and 1993, there is no basis for the "trends" reported in Allyn Jackson's article.

Right now there is a great deal of fear and anxiety among new and potential Ph.D.s. The perception that one group is being favored over another can only lead to unnecessary, unproductive anger and resentment. Though we may all know someone from a particular group who seems to have had it easier than most, it is important to look at the facts and realize that this is a tough time for everyone.

Debra L. Boutin Cornell University

(Received August 12, 1993)

Allyn Jackson's article, "Jobs, Grants, and the New Ph.D.," is amazing in its failure to analyze the results that are reported. The claim that women graduates are getting jobs more easily than their male counterparts is totally unsubstantiated by anything in the article. In fact she admits that two of the four women whom she interviewed were having difficulty finding a job.

I am surprised that this usually perceptive writer fails to note the common theme in the men's stories-"at the last minute he got a job at Cornell," "I finally landed a tenure-track position," "the NSF postdoc saved my career," "support from his adviser at MIT tided him over." What this says to me is that the old boys' network is alive and operating well for young male mathematicians. Note that only two of the many men quoted in the article were without jobs-and they were 1989 and 1990 Ph.D.s, not new graduates.

Getting jobs at less prestigious institutions than one had aspired to is a phenomenon well known to women. Of course, it is too bad that it is happening to men now, but I doubt that it is due to an influx of women into the best jobs. I'd like hard facts on how many tenuretrack positions at research universities went to women this year before I jump to any conclusions.

MaryW. Gray American University

(Received September 8, 1993)

Response from Allyn Jackson to letters written by Boutin and Gray:

First, I would like to thank the letter writers for their careful reading of


the article. I certainly did not intend to create any more problems in the already difficult job market. However, I did get the distinct impression in my interviews that new female Ph.D.s are in demand. This does not necessarily mean they have an "unfair" advantage, because there are legitimate reasons why departments would want to increase the proportion of women on their faculties.

Debra Boutin points to unemployment data reported in the AMS-MAA Survey. One of the motivations for my article was the perception that unemployment rates of 6%-7% don't tell the whole story. In addition the Survey says that 21% of the new doctorates who got jobs at Group I institutions also got their Ph.D.s at that same institution. It is likely that many of these were people who were kept on by their departments because they couldn't find jobs. So not all of the positions in Group I departments are plum positions.

Nonetheless, I believe the letter writers have a point in that this complex and potentially divisive topic deserves fuller treatment than the article gave it. Consideration is being given to ways to treat this issue in the Notices. To this end I would appreciate information about the experiences of new female Ph.D.s on the job market, either from the women themselves or from faculty who have recently had women students on the market. My e-mail address is [email protected].

Is There a Role for "Mathematics Education"

in the Ph.D. Program? Sol Garfunkel and Saunders Mac Lane wrote articles in the July/August "Forum" and also two letters in the same issue, one saying the answer to my question above is "yes", the other "no". Neither is very specific about his definition of mathematics education. Garfunkel says (correctly) that "for the great majority of college teachers, teaching is more important than research" and that "the reward system must reflect this truth." Mac Lane says (correctly) that "for centuries ... the Ph.D. degree had been granted on the grounds of scholarly work and new discoveries." (However, there is a saying I heard from Paul Erdos


years ago that, "A dissertation is a paper of the professor written under conditions of extreme difficulty.")

Almost all Ph.D. mathematicians are supported by teaching. I think it is worthwhile giving figures on where they teach. [Except where noted, all statistics quoted here came from the 1990-1991 volume of the CBMS Surveys, MAA Notes 26.]

Full-time Doctoral and Nondoctoral Faculty, Fall 1990

Percent College Full-Time Doctoral of Doctoral Types Faculty Faculty Faculty

Univ. (Ph.D.) (6445) 6058 94%

Univ. (M.A.) (5028) 3620 72%

Coli. (B.A.) (8008) 5285 66%

Totals 19,411 14,963 77%

Except for the total, the first column is calculated from the second and third, and so does not add up precisely. The table is F.7 in the 1990-1991 Survey.

(In addition there are 6786 part-time faculty teaching 16% of all undergraduate sections, and 7297 graduate assistants teaching 9% of the sections.)

Fifteen thousand Ph.D.s. How many of these do research, or have ever done more than a couple of papers? There are no recent figures on this; but in my 1966 study of Ph.D. publications in the classes 1948-1962, a quarter of the Ph.D.s had published nothing, and a quarter had published one paper. I am sure the figures are higher now, not because of an increase in ability, but because of the pressure exerted on nontenured faculty. What is the number of Ph.D.s whose research really counts? I suspect it is about the size of the full-time Group I faculty, 1902 in 1992. I say explicitly that I see nothing wrong in a person who is low in that peculiar ability required for mathematical research but who loves the subject and will continue learning, giving his or her life to teaching. For such a person, completing a dissertation and perhaps writing a couple more papers is a valuable part of his or her learning, but only part.

What, in fact, do we teach? In fall 1990 we taught:

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Remedial mathematics Precalculus Calculus level Advanced (undergraduate) Graduate enrollment ( 1992)

Total

260,400 592,300 647,600 121,800 51,000

1,673,100

Very little of that is for prospective mathematicians of any level. The great part of our teaching is to students who take the courses to satisfy a requirement of some other department or of a college-a captive audience.

We do a lousy job of teaching most of these students. Remedial mathematics doesn't remediate; few people taking college algebra (236,800 in fall 1990) complete more than one semester of calculus; most of our courses have changed little in the past twenty-five years.

It is a fragile edifice. Suppose some administrators decided to set up a Division of Precalculus Mathematics taught by non-Ph.D.s and decided to encourage


the engineering and business administration schools to teach their own calculus. Who would protest? Our loving and respectful colleagues in other departments? Our calculus students? The minority students? Could such a thing happen?

Such things do happen. Keith Devlin describes in an editorial in the August issue of the MAA Focus what happened to his department in Britain when university budgets were cut by the government. The department (and presumably those in other British universities) felt invulnerable; they ended up losing nearly half their positions.

We need answers to questions like the following, and we must prepare our Ph.D.s to see that these are important and not necessarily easy to answer. While our enrollment stays steady, our advanced enrollment drops. Why? Why do we do so poorly with minorities? Can we find out why remedial students

Translations of Mathematical Monographs

Complexity of Proofs and Their Transformations in Axiomatic Theories V. P. Orevkov

Volume 128

are in these courses, and how do we change the courses so that the students can do mathematics? What should we be teaching prospective elementary and middle school teachers? Is calculus to be symbol manipulation or analysis? What should a precalculus course be? How can we improve relations with our customer departments? How can we increase the number of majors? What do they do anyway, and how can we improve their preparation? Answers to these will come only after hard work and creative thought. Our Ph.D.s should be prepared to deal with them. That is what I mean by "mathematical education" at our level. There should be a required course or courses in the Ph.D. program where these are discussed.

Gail S. Young Columbia University

Teachers College (Received September 7, 1993)

This work develops a tool of logical deduction schemata and uses it to establish upper and lower

bounds on the complexity of proofs and their transformations in axiomatized theories. The main

results are: establishment of upper bounds on the elongation of deductions in cut eliminations; a proof that the length of a direct deduction of an existence theorem in the predicate calculus cannot

be bounded above by an elementary function of the length of an indirect deduction of the same

theorem; a complexity version of the existence property of the constructive predicate calculus; and,

1334

for certain formal systems of arithmetic, restrictions on the complexity of deductions that guarantee

that the deducibility of a formula for all natural numbers in some finite set implies the deducibility of the same formula with a universal quantifier over all sufficiently large numbers.

1991 Mathematics Subject Classification: 03 ISBN 0-8218-4576-4, 153 pages (hardcover), September 1993 Individual member $52, List price $86, Institutional member $69 To order, please specify MMON0/128NA

All prices subject to change. Free shipment by surface: for air delivery, please add $6.50 per title. Prepayment required. Order from: American Mathematical

Society, P.O. Box 5904, Boston, MA 02206·5904, or call toll free 800-321-4AMS (321·4267) in the U.S. and Canada to charge with VISA or MasterCard.

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Executive Director J aco to Leave the AMS in Two Years' Time

William H. Jaco, who has served as the executive director of the American Mathematical Society for the past five years, has accepted the position of Grayce B. Kerr Professor in the department of mathematics at Oklahoma State University. In order to complete a number of Society projects and to insure a smooth transition for his successor, Jaco secured from Oklahoma State a two-year leave of absence that will allow him to remain at the AMS until the fall of 1995. Jaco came to the Society in 1988 from Oklahoma State, where he had served as head of the department of mathematics from 1982 to 1987.

Since Jaco started at the AMS five years ago, the mathematical sciences community has faced unprecedented challenges. On the national level the stringency of the federal budget has put increasing strain on funding for basic research. This problem has been exacerbated by declining public confidence in scientific research and in the nation's colleges and universities. National attention has focused on education as a crucial issue, calling upon the mathematical sciences community to contribute to the major reform efforts in mathematics education currently under way. Internationally, the fall of Communism and the end of the cold war have reverberated through the international mathematical community, spawning a host of problems that no one could have predicted ten or even five years ago. Also facing the community have been such problems as the crisis in library budgets, the difficulties of the job market, the uncertainties for the future of publishing in an electronic world, and the increasing strain on mathematics departments.

This array of issues has confronted the mathematical community from the beginning of Jaco's tenure and has forced the Society to take a serious look at how prepared it is to serve well its membership and the mathematical sciences community in general. To respond to this challenge, the AMS initiated a process of strategic planning so that it could build consensus about how to focus Society attention and resources where they are most needed. The strategic planning activity, which involved extensive review of the Society by the volunteer membership and the Board of Trustees, has reaffirmed the basic mission of the Society- to further research and scholarship--while acknowledging the connections of this mission to other important issues, such as education, public awareness, and the uses of mathematics. The

strategic plan also reaffirmed the importance of expanding and emphasizing the two Society activities that have been the most important-publications and meetings-while widening the range of AMS activities in other areas. The planning exercise has allowed the AMS staff and the volunteer membership to coordinate and channel their energies to pursue the Society's goals.

William H. Jaco

As Jaco puts it, "The breadth of concerns and activities of the Society is very different than when I first came here." He points to the establishment this year of five overarching policy committees as an important step toward insuring sustained attention to Society goals. These five committees reflect the major themes outlined in the strategic plan: Science Policy, Education, Meetings, Publications, and the Status of the Profession. These committees of volunteer members work with staff liaisons to plan activities for the Society to carry out in pursuit of its goals.

When Jaco first came to the Society, his main job was overseeing publications operations and day-to-day management

DECEMBER 1993, VOLUME 40, NUMBER 10 1335

Executive Director Jaco to Leave the AMS

of the Providence office. "Today I'm involved in managing and administering many new affairs of the AMS, and I'm doing this more from a strategic, rather than an operational, perspective," he says. "Making Society policy is the realm of the Council and the Board of Trustees, but the executive director is very involved in working with the policy committees, officers, and governing bodies in formulating, interpreting, and administering the policies of the Society."

Jaco oversees the enormous task of organizing the Society's activities into yearly operational plans, which set forth explicit objectives to achieve the goals of the Society and describe activities designed to meet those objectives. "The most significant aspect of the planning activity is the consensus building on the part of the volunteer leadership and the membership about what the AMS should be doing," Jaco remarks. "The planning and the establishment of the policy committees have brought the thinking of the volunteer leadership more closely to bear on the problems the community faces.

"A very satisfying change I see is that the AMS has a progressive, active approach to the Society's fundamental mission of furthering mathematical research and scholarship," Jaco says. "We have a vision for the AMS, a vision recognizing that there are many activities supporting the mission of the AMS and encompassing such things as promoting education, enhancing public awareness of mathematics, and promoting the connections of mathematics to other disciplines."

Jaco's major accomplishments at the AMS include bringing more volunteer involvement into the major activities of the Society, putting into place the mechanisms for strategic planning, opening of the AMS Washington office, and modifying the management structure to provide more efficient reporting to the executive director by staff (in particular, a smooth transition of Mathematical Reviews reporting to the executive director). Jaco also helped to initiate and build the AMS development program, which counts the AMS fSU Aid

Fund to assist mathematics in the former Soviet Union as one of its main projects. There are a number of specific tasks that Jaco and the Board of Trustees agreed should be seen through before he leaves the AMS. These include working further on the management structure of the AMS, addressing how the Society should respond to the rapid changes brought about by electronic publishing, renegotiating Russian translations contracts, and overseeing renovation of the AMS headquarters building in Providence.

Jaco says that when he made the decision to come to the AMS, it was clear to him and to the Board of Trustees that he would not remain at the Society until his retirement. He assumed that he would move on to a position in academic administration. "I never thought that there would be a significant opportunity to go back to research and scholarship in the academic community," he remarks. "This opportunity was too exciting and too good to pass up." He is eager to get back into research and also wants to work in some capacity on educational issues.

Although he is looking forward to moderating his usual eighty-hour work week to have more time to spend with his family, Jaco is enthusiastic about spending the coming two years at the AMS. "I think this is a terrific job; I really like it," he remarks. "I learned a lot in my years at the AMS. My view of mathematics is much broader. I realize the importance of good exposition in mathematics and of paying more attention to mathematics education. I will continue to build the Society's involvement in these areas. I have had terrific support from the Board of Trustees, the Executive Committee of the Council, and the Society's officers. One of the things I value most is that I have made many friends and have developed many excellent working relationships in my time with the Society."

Allyn Jackson

Conference Proceedings, Canadian Mathematical Society

Category Theory 1991

1336

R. A. G. Seely, Editor

Representing the diversity of the field, the subjects covered here range from topology and geometry to logic and theoretical computer science, from homotopy to braids and conformal field theory. Although generally aimed at experts in the various fields represented, the book provides an excellent opportunity for nonexperts to become acquainted with the diversity of current applications of category theory.

1991 Mathematics Subject Classification: 18; 00 ISBN Q-8218·6018·6, 447 pages (softcover), October 1992 Individual member $46, List price $76, Institutional member $61 CMS members may order at the AMS member prices. To order, please specify CMSAMS/13NA

All prices subject to change. Free shipment by surface: for air delivery, please add $6.50 per title. Prepayment required. Order from: American Mathematical Society, P.O. Box 5904, Boston, MA 02206-5904, or call toll free 800-321-4AMS in the U.S. and Canada to charge with VISA or MasterCard. Residents of Canada, please include 7% GST.


The Gordon & Breach Lawsuit against the AMS

In early 1990 Gordon & Breach Science Publishers, Inc. brought suit in Germany against the AMS over a journal price survey published in the Notices. The suit charged that the survey was inaccurate "comparative advertising" and hence, under German law, unfair competition. Similar suits had previously been filed by Gordon & Breach over a price survey of physics journals prepared by a retired physicist from the University of Wisconsin at Madison, Henry Barschall, and published in 1988 by the American Institute of Physics/American Physical Society (AIP/APS).

Over the past year AIP/APS has scored victories in all the lawsuits except one, which it has appealed. Nevertheless, for reasons of cost, the AMS Board of Trustees at its meeting in May 1993, decided that "the AMS [should] take no direct legal action at this time." Therefore, in compliance with an injunction handed down by a German court, the AMS has not included Gordon & Breach journals in the price survey in this issue of the Notices. This article is intended to provide Notices readers with some background and information about these lawsuits.

The AMS Surveys The AMS journal price survey presents a variety of information regarding the prices of mathematical sciences research journals: ~e subscription cost, the number of pages, an estimate of the number of characters per page, a calculation of the cost in "cents per 1000 characters", and the circulation. Also included is information about such things as discounts, page charges, and whether the publication receives outside support. The history of the Gordon & Breach lawsuit against the AMS begins with a survey of European journals prepared by the European Mathematical Council (EMC) and published in the November 1986 issue of the Notices.

The one Gordon & Breach journal that was included in the EMC survey was not the most expensive, in terms of cents per 1000 characters. The most expensive by this measure were two journals published by Springer-Verlag; the Gordon & Breach journal was the third costliest by this measure. Nevertheless, lawyers for Gordon & Breach warned the AMS and the EMC that they believed the publication of the survey may have involved "trade libel". Gordon & Breach did not, however, go to court at that time. Pressured by the threat of a possible lawsuit, the AMS omitted Gordon & Breach publications from the AMS survey of American journals published in the March 1986 issue of the Notices.

However, in 1989 the AMS determined to publish a new survey and to include Gordon & Breach journals in it, believing that the value of the survey to the readers of the Notices would be increased if Gordon & Breach journals were included. Gordon & Breach's suit against the AMS pertains to this survey, which was published in the November 1989 issue of the Notices. In that survey the AMS's calculations placed Gordon & Breach's three primary journals among the top five primary journals in terms of cents per 1000 characters. The survey showed AMS journals costing slightly below average, but they were not the least expensive. The raw data on which these computations were based were sent to the publishers (including Gordon & Breach) for corrections and updates before the survey was published. No protest was made and, in fact, a correction was returned on the Gordon & Breach data. However, after the survey appeared, Gordon & Breach, in a paid advertisement in the January 1990 issue of the Notices, charged that the AMS had used inaccurate methodology in the survey and had engaged in "factual misrepresentation". In an editorial in that same issue, William H. Jaco, AMS executive director, countered that "there is no basis for the attack" by Gordon & Breach.

Gordon & Breach sued the AMS in Germany, charging that, by its survey, the Society was engaging in comparative advertising, which under German law is very broadly defined and can in some instances be found to constitute unfair competition. In February 1990, without giving the AMS any notice or opportunity to be heard, Gordon & Breach went before a German court and obtained an injunction barring the AMS from distributing in Germany any journal price survey that included Gordon & Breach journals. Because the AMS has a large number of members in Germany, this meant, in effect, that a survey including Gordon & Breach journals could not be published in the Notices, which is sent to all AMS members. At the time this injunction was handed down, the German suits against AlP/ APS and Barschall were much further advanced, and the AMS therefore decided to wait and see the outcome of those cases before deciding how to proceed.

The AlP/ APS Cases The survey at issue in the lawsuits against AIP/APS and Barschall appeared in the Bulletin of the American Physical Society (vol. 33, page 1437, 1988); an article describing the survey and the crisis in research libraries was published in


Gordon & Breach Lawsuit

Physics Today (July 1988, page 56). Barschall undertook the survey on his own, not at the request of AIP/APS, and submitted his results as an unsolicited manuscript. Barschall received an award from the Physics-Astronomy-Mathematics Division of the Special Libraries Association "for his studies of the pricing practices of publishers, for the development of a new methodology of these studies, and for his contribution in the area of physics, astronomy, and mathematics librarianship".

The cases against the AIP/APS and Barschall are similar to that against the AMS in that they involve a survey of scientific journal prices that uses cents per 1000 characters as one way to compare journal costs. The Barschall survey found Gordon & Breach journals to be more expensive than those of other publishers. In the lawsuits it filed, Gordon & Breach charged that AIP/APS's use of the cents-per-1000-characters calculation constituted faulty methodology.

Barschall's survey differs from that of the AMS in some ways. For one thing, it presents information about the frequency of citations of articles in the journals in the survey and a calculation of the ratio of cost to citation frequency; the AMS survey does not include any information about citation frequency. In addition, Barschall wrote an analysis of the survey findings, and Gordon & Breach has seized upon some of his conclusions in the lawsuits. The AMS survey contains only a description of the survey methodology and the survey tables themselves; readers are left to analyze the information.

The German suits against AIP/APS and Barschall were dismissed first by a district court and then by an appeals court. In particular, because the suit alleged that the survey used faulty methodology, the appeals court carefully examined the use of the cents-per-1000-characters calculation and found that the survey was not misleading and did not disparage competitors to AlP/ APS journals. In 1992 the German Federal Supreme Court declined to hear the case, and the case ended there. Gordon & Breach has been obliged to pay legal costs to the defendants.

There were two cases in Switzerland, one against Barschall in a civil court and one against AlP/ APS in a commercial court. In the case against Barschall the court found that Barschall's methodology and application of it were fair and reasonable. The court found that Barschall should have provided more information about the limitations of the methodology but otherwise ruled in Barschall's favor. Gordon & Breach appealed from this decision and lost and was ordered to pay 9/10ths of the cost of litigation and certain of Barschall's legal fees. In the Swiss case against AlP/ APS the court issued a ruling against Gordon & Breach that casts serious doubts on the merit of its case. That case is on appeal.

In addition to the suits in Germany and Switzerland, Gordon & Breach sued AIP/APS in France. In November 1991 a French trial court ruled that French law prohibits comparative advertising except in cases in which the commodities being compared are identical and found Barschall's survey to be comparative advertising. In addition the court, noting some of the statements in Barschall's analysis, found that the survey

attempted to discredit competing journals. AIP/APS believes that this ruling rests on an improperly strict interpretation of French law and is hopeful that it will be overturned on appeal.

In September of this year Gordon & Breach also filed a lawsuit against AIP/APS in federal court in New York. The suit focuses on many of the same issues as the suits in Europe. However, the charge in the New York suit is false and deceptive advertising rather than comparative advertising, because the latter is not prohibited in the United States. At the time of this writing, AIP/APS had filed a motion to dismiss the suit as a matter of law.

Where the AMS Stands Now Legal counsel for the AMS has advised the Society that it has a very good chance of winning the case it faces in Germany, particularly because of the AIP/APS victories there. However, it seems reasonable to assume that, were the AMS to pursue the lawsuit in Germany, Gordon & Breach would file suit at least in France, the one country where it is currently in a strong legal position. The Board of Trustees, weighing the various factors involved, decided against pursuing the suit right away. This means that the AMS must abide by the injunction against distributing in Germany price surveys that include Gordon & Breach journals. In particular those journals were not included in the survey in this issue of the Notices. The AMS considered such ideas as publishing the survey separately from the Notices and distributing it to all members outside of Germany. However, not only would the cost of such a scheme be prohibitive, but it would also be likely to spawn suits in other countries.

"Libraries are uniquely important to mathematicians," says AMS Library Committee Co-chair James L. Rovnyak of the University of Virginia. "We deposit our research in libraries, and we go to libraries to learn of the research of others. To sustain the system and build quality libraries in the current environment of high costs and budget stress, mathematicians and librarians today more than ever need information and constructive relationships with publishers, private and institutional. Coercive actions such as the Gordon & Breach lawsuit are an obstacJe to the process."

Committee Co-chair Nancy D. Anderson, the mathematics librarian at the University of Illinois at Urbana-Champaign, agrees. "The action of Gordon & Breach [G&B] has intimidated librarians and removed any good will which librarians may have had towards G&B with their lawsuits against AMS and AIP/APS," says Anderson. "The pricing studies by AMS and AIP/APS are not viewed by librarians in the same way as G&B does. In fact we view G&B as obfuscating the issue, which is to get out information which will help us make sound decisions on retention and cancellation of journals. I view the pricing surveys which AMS has done as an invaluable contribution."

Allyn Jackson

1338 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY

Survey of American Research Journals

In November of 1982 the Board of Trustees of the AMS decided that a cost comparison study of mathematical research journals would benefit the entire mathematical community, in particular department chairmen and librarians. A year later the Notices of the American Mathematical Society published its first survey of American research journals. We have brought that information up to date in this fourth survey, expanded to include comparisons between subscription years 1988, 1990, and 1992.

Selection and classification of journals. As before, the list of journals surveyed consists of those published in the United States and reviewed in their entirety in Mathematical Reviews, with the exception of some of the translation journals, which may have been reviewed only in part or in the original. Some journals appear here that did not appear in the previous survey since they were not reviewed cover-to-cover at that time. Serious effort was made to obtain the 1988 statistical data for those journals, but we were unable to obtain sample pages or price information for some of them. Other journals new to the market which should appear here could not be included, due either to the inability to obtain sample pages and price information or due to the use of a format which made equal comparison impossible.

Journals are listed in three classes: primary typeset journals, primary journals published from author-prepared copy, and translation journals. Production costs vary considerably for these classes of journals, with the subscription prices varying accordingly.

Counting methods. First the number of pages published for each subscription year was determined, excluding front and end matter. Extrapolation was required for some of the translation journals, since their nominal volumes were incomplete at the time of the sampling.

The next problem was to determine the amount of material on a page, a difficult task when dealing with mathematics journals. For this reason, readers are encouraged to examine actual copies of these journals when considering these figures. Variations in the amount of displayed material, additional spacing around displays and enunciations, and the typesetting

specifications of the particular journal all affect the amount of material per page. Also, character counts in journals printed from author-prepared copy vary considerably from article to article. Therefore, readers should keep in mind that the methods given below for estimating characters per page do not provide absolute figures but rather suggest a systematic basis for comparison among journals.

At least two samples were taken for each journal. In the first sample ten pages were selected, spaced evenly throughout the journal; these pages were chosen so as to contain no figures, diagrams, or blocks of text set at a type size nonstandard for that particular journal. The lines of text and display per page were counted. A characters-per-line figure was determined by averaging the character count for the first and last full lines of text on the first three pages of our sample. (Spaces between words were counted as one character; spaces in mathematical expressions were not counted.) Averages for the two figures were multiplied to obtain a figure for the characters per page.

A second sample was then taken of another ten pages, spaced midway between the pages chosen for the first sample. The cost calculation is based on the mean of these two samples.

Questionnaire information. A questionnaire was sent to each publisher, asking for verification of our observed page counts and subscription prices for each year, as well as our calculated lines per page and characters per line. In addition, we solicited the following information: 1988, 1990, and 1992 circulation figures; the availability of back volumes; the journal's policies regarding page charges, offprints, and discounts; and information about any sources of support that the journal might have in addition to circulation revenues. Much of that information is reported in the following sets of tables, in order that readers might draw their own conclusions regarding the effect of any of these factors on production costs or subscription prices. Blanks in the tables indicate that questionnaires were not returned by the publishers. Publishers were notified that information contained in the questionnaires would be assumed to be correct if the questionnaires were not returned prior to the publication of the survey.


Journal Survey

Primary Typeset Journals

List Price $US Pages Cents/1 000 Char

Journal Publisher 1988 1990 1992 1988 1990 1992 1988 1990 1992

Advances in Applied Mathematics Academic Press 105 117 136 499 502 501 6.5 9.8 12.7 Advances in Mathematics Academic Press 528 597 687 1602 1593 1704 10.2 16.5 17.7 American Journal of Mathematics Johns Hopkins University Press 127 142 150 1188 1078 1367 4.6 6.1 4.8 Annals of Applied Probability Institute of Math. Statistics .. .. 70 .. .. 1033 .. . . 2.8 Annals of Mathematics, Ser. 2 Princeton University Press 140 180 180 1303 1251 1252 3.9 5.9 5.6 Annals of Probability Institute of Math. Statistics 100£ 90 180£ 1859 1827 2167 2.3 2.0 3.3 Annals of Statistics Institute of Math. Statistics 45 90 130 1741 1899 2195 1.1 1.9 2.4 Applied Math. and Computation North-Holland (Elsevier) 560 750 876 1412 1774 1788 18.6 19.0 23.8 Applied Math. and Optimization Springer-Verlag 205 260 276 549 664 658 12.0 15.2 17.0 Bulletin of the AMS American Mathematical Society 161 174 202 829 994 709 6.4 7.2 8.4 Comms. in Pure and Applied Math. John Wiley & Sons 256 325 550 1088 1066 1362 10.4 12.9 17.6 Constructive Approximation Springer-Verlag 98* 125 148 446 456 540 9.4 11.1 11.9 Designs, Codes and Cryptography Kluwer Academic Publishers .. .. 182* .. .. 404 . . .. 16.1 Differential and Integral Equations Ohio University 156 226 300 504 1237 1440 11.6 6.8 8.0 Discrete and Computational Geometry Springer-Verlag NR 175 198 NR 608 791 NR 10.3 8.8 Duke Mathematical Journal Duke University Press 240 240 528 1616 1834 2806 6.0 5.2 7.2 Dynamics and Control Kluwer Academic Publishers .. .. 182* .. .. 416 .. . . 17.6 Ergodic Theory and Dynamical Sys. Cambridge University Press 245 259 299 1059 843 836 7.7 10.8 13.3 Houston Journal of Mathematics University of Houston 85 90 90 600 602 641 5.7 7.0 6.9 Illinois Journal of Mathematics University of Illinois Press 70 70 90 715 858 706 4.5 3.4 6.0 Indiana University Math. Journal Indiana University 95 95 95 934 1425 1314 4.4 3.0 3.1 Information and Computation§ Academic Press 384 480 552 1143 1440 1656 11.0 13.8 14.0 Journal of Algebra Academic Press 816 916 1085 4199 4349 4723 5.8 9.4 10.1 Journal of Algorithms Academic Press 118 131 155 600 657 700 6.5 7.9 8.4 Journal of the AMS American Mathematical Society 100 116 136 975 975 988 3.9 4.6 5.2 Journal of Approximation Theory Academic Press 380 424 486 1440 1533 1439 8.9 12.3 16.1 J. of Assoc. for Computing Mach. Assoc. for Computing Machinery 75 75 100 1000 898 986 2.2 2.5 3.1 J. of Combinatorial Theory, Ser. A Academic Press 303 339 387 964 964 966 10.0 15.3 17.1 J. of Combinatorial Theory, Ser. B Academic Press 240 294 342 755 919 965 10.4 12.2 14.3 Journal of Complexity Academic Press .. 106 121 .. 443 488 .. 10.5 11.9 J. of Differential Equations Academic Press 588 660 759 2401 2403 2401 7.6 12.1 13.8 J. of Differential Geometry Lehigh University 190 230 270 1107 1841 1544 6.5 5.4 7.8 J. Dynamics Differential Equations Consultants Bureau (div. of Plenum) .. 95 135 .. 482 692 .. 8.8 10.9 Journal of Funclional Analysis Academic Press 630 770 890 2720 3231 3711 7.4 10.8 10.2 Journal of Geometric Analysis CRC .. .. 195 .. .. 584 .. . . 13.1 Journal of Graph Theory John Wiley & Sons 125 198 275 595 738 634 8.5 11.0 16.7 Journal of Integral Equations & Appl. Rocky Mt. Math. Consortium 150 150 165 599 616 606 12.9 13.2 15.4 Journal of Logic Programming North-Holland (Elsevier) 115 194 444 344 557 1181 10.1 10.4 11.6 J. of Math. Analysis and Appl. Academic Press 1064 1251 1424* 4803 5397 5399 7.3 10.7 12.0 J. Math. Systems Estim. Control Birkhiiuser Boston .. .. 164 .. .. 505 .. .. 13.3 J. of Multivariate Analysis Academic Press 336 374 436 1418 1290 1398 7.3 13.4 14.9 Journal of Number Theory Academic Press 318 354 408 1130 1125 1136 12.6 14.5 15.3 Journal of Optimal Theory Appl. Plenum Publishing 535v 675v 775v 2156 2408 2444 10.0 12.7 14.2 Journal of Symbolic Logic Assoc. for Symbolic Logic 105 140 180 1344 1792 1544 2.5 2.3 3.6 Journal of Theoretical Probability Plenum Publishing 95 130 175 424 638 826 11.4 10.2 10.7 K-Theory Kluwer Academic Publishers 170 186 228 676 606 585 10.3 11.5 14.6 Libertas Mathematics Amer. Roman. Acad. Arts Sci. Publ. 45 45 50 190 204 212 10.5 13.0 # Linear Algebra and its Applications North-Holland (Elsevier) 1134 1275 1674 3662 4447 4734 16.9 14.2 17.8 Mathematics of Computation American Mathematical Society 181 191 221 1532 1794 1753 3.8 4.4 4.3 Math. Control Signals Systems Springer-Verlag 131 179 188 300 399 455 16.0 16.7 15.1 Mathematical Systems Theory Springer-Verlag 109* 115 134 254 254 313 14.4 14.0 14.1 Michigan Mathematical. Journal University of Michigan 40 40 60 480 576 575 3.0 2.6 4.0 Notre Dame J. of Formal Logic University of Notre Dame Press 40 45 45 581 648 610 2.1 2.2 2.3 Pacific Journal of Mathematics Pacific Journal of Mathematics 190 190 190 1996 2386 1977 4.3 4.0 4.7 Proceedings of the AMS American Mathematical Society 401 432 508 3752 3433 3523 3.4 5.0 4.9 Quarterly of Applied Mathematics Brown University 50 55 60 792 784 800 2.1 2.5 2.7 Random Computational Dynamics Marcel Dekker .. .. 195± .. . . 470 .. .. 18.4 Rocky Mountain J. of Math. Rocky Mt. Math. Consortium 145 195 350 864 1248 1596 8.9 8.5 11.7 SIAM J. on Applied Mathematics Soc. for lndust. & Appl. Math. 150 178 210 1901 1806 1810 2.2 3.2 3.5 SIAM Journal on Computing Soc. for lndust. & Appl. Math. 140 170 198 1282 1167 1203 2.8 4.1 4.1 SIAM J. on Control & Optimization Soc. for lndust. & Appl. Math. 172 204 242 1503 1509 1511 3.4 4.4 4.9 SIAM J. on Discrete Mathematics Soc. for lndust. & Appl. Math. 140 164 188 559 602 608 5.9 7.1 8.4 SIAM J. on Mathematical Analysis Soc. for lndust. & Appl. Math. 225 264 305 1493 1657 1655 4.7 5.3 6.3 SIAM J. on Matrix Analysis Appl. Soc. for lndust. & Appl. Math. 88 106 150 592 659 1319 3.5 5.2 3.3 SIAM J. on Numerical Analysis Soc. for lndust. & Appl. Math. 160 188 220 1500 1655 1825 3.4 3.6 3.9 SIAM J. on Optimization Soc. for lndust. & Appl. Math. .. .. 150 .. .. 676 .. . . 6.9 SIAM J. Scientific & Statist. Comput. Soc. for lndust. & Appl. Math. 140 168 210 1132 1220 1507 3.4 4.2 4.4 Studies in Applied Mathematics North-Holland (Elsevier) 154 230 272 552 719 745 10.9 14.4 17.8 Transactions of the AMS American Mathematical Society 675 714 842 5142 4931 5503 4.3 5.4 5.3

(table continued)


Journal Survey

not in publication # unable to obtain sample pages; journal issues not available

§ continuation of Information and Control £ 1988 price includes both Annals of Probability and Statistical Science;

1992 price includes both Annals of Probability and Annals of Applied Probability ± year of publication for vol. 1 identified as 1992/1993; price reflects subscription year 1992/1993.

NR not reviewed cover-to-cover; unable to obtain journal issues actual prices (in $) are:

Constructive Approx.: 98.50 Designs, Codes Cryptography: 182.50 Dynamics Control: 182.50 J. Math. Anal. Appl.: 1424.25 Math. Systems Theory: 1 09.50

v priced per volume; 4 vols. per year 1988: $133.75/vol. 1990: $168.75/vol. 1992: $193.75/vol.

Primary Author-Prepared Journals

List Price $US

Journal Publisher 1988 1990 1992

Algebras, Groups and Geometries Hadronic Press 150 150 150 Communications in Algebra Marcel Dekker 685 875 1095 Comms. in Partial Diff. Equations Marcel Dekker 395 500 650 Comms. Statistics Stochastic Models Marcel Dekker 135 225 285 Dynamic Systems and Applications Dynamic ** ** 115 Internal. J. Mathematics & Math. Sci. Univ. Central FUCalcutta Math. Society 60 70 80 Memoirs of the AMS American Mathematical Society 239 252 292

Numerical Funct. Anal. & Optim. Marcel Dekker 225:j: 265 305 Panamerican Mathematical Journal Verma .. .. 100 Random Structures & Algorithms John Wiley & Sons .. 125 145 Semigroup Forum Springer-Verlag 96 192 204 Stochastic Analysis and Applications Marcel Dekker 195 275 425

not in publication

Pages

1988 1990

500 365 2683 4424 1621 1821 559 786 .. ** 832 831

1738 2601 1349:j: 1075

** ** 464

373 753 477 519

:j: Two out of twelve issues contained in vol. 9 (1987) are identified as 1987/1988; journal does not identity a list price for 1988.

Complete 1987 data presented here for accurate comparison.

Translation Journals

List Price $US Pages

Journal Publisher 1988 1990 1992 1988 1990

Algebra & Logic Consultants Bureau (div. of Plenum) 495 635 765 482 487 Chinese J. of Numerical Math. Analysis Allerton Press 245 265 320 429 358 Differential Equations Consultants Bureau (div. of Plenum) 795 915 1125 1475 1667 Functional Analysis & Its Applications Consultants Bureau (div. of Plenum) 595 695 795 340 353 Journal of Soviet Mathematics Consultants Bureau (div. of Plenum) 1595 2250 2450 2473 3576 Lithuanian Mathematical Journal Consultants Bureau (div. of Plenum) 395 545 595 400 407 Math. Notes of Acad. of Sci., USSR Consultants Bureau (div. of Plenum) 795 915 1075 950 1093 Mathematics USSR - lzvestiya American Mathematical Society 483 618 714 1315 1358 Mathematics USSR - Sbornik American Mathematical Society 670 754 865 1680 1759 Proceedings, Steklov lnst. of Math. American Mathematical Society 393 429 518 1023 1090 Siberian Mathematical Journal Consultants Bureau (div. of Plenum) 955 995 1125 950 1070 Soviet J. Automation & Info. Sci. Scripta 235 495 575 579 567 Soviet J. of Contemporary Math. Anal. Allerton Press 485 625 670 600 556 Soviet Mathematics (lz. VUZ.) Allerton Press 595 750 790 1350 1271 St. Petersburg Mathematical Journal American Mathematical Society .. 720 848 ** 1560 Sugaku Expositions American Mathematical Society 60 70 87 256 252 Theoretical & Math. Physics Consultants Bureau (div. of Plenum) 775 825 945 1200 1363 Theory of Probab. & its Application Soc. for lndust. & Appl. Math. 250 300 320 758 835 Theory Probab. & Math. Statistics American Mathematical Society 245 258 297 301 315 Trans. of Moscow Math. Society American Mathematical Society 167 181 .. 261 249 Ukrainian Mathematical Journal Consultants Bureau (div. of Plenum) 745 998 1125 660 1511

not in publication


Cents/1 000 Char

1992 1988 1990 1992

365 16.2 20.8 24.5 3816 16.3 12.6 17.4 2159 15.2 16.5 15.8

741 12.7 12.2 18.6 480 ** ** 13.1 832 2.6 3.2 3.0

2438 7.1 4.5 5.8 614 8.7:j: 11.9 19.5 383 ** ** 16.2 464 ** 11.7 13.1 808 13.2 12.5 8.2 628 25.4 41.3 44.0

Cents/1000 Char

1992 1988 1990 1992

473 33.8 40.0 47.7 441 24.6 28.8 32.1

1855 14.3 14.9 18.4 300 37.3 51.4 64.1

3192 16.1 18.1 19.1 500 24.7 42.2 38.2

1297 19.0 22.4 22.7 1291 10.9 14.8 18.2 1747 12.0 13.2 15.1 957 11.6 12.9 16.9

1256 22.8 25.1 24.3 448 11.6 21.1 34.3 476 29.2 36.0 47.9

1075 15.6 17.6 22.8 1381 ** 15.3 20.4 234 8.3 9.9 13.4

1282 18.9 15.3 17.3 863 8.8 11.9 11.5 274 32.3 37.7 39.6

** 20.8 25.9 ** 1600 25.8 17.9 21.8

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Journal Publisher 1988 1990 1992 1988 1990 1992 ($US) prints Y/N ++ Y/N

Advances in Applied Mathematics Academic Press 3225 2380 2130 NG NG NG 0 p 50 N N

Advances in Mathematics Academic Press 3225 2278 2277 NG NG NG 0 p 50 N N

American Journal of Mathematics Johns Hopkins University Press 2484 2176 2277 1435 1459 1458 0 P,M 75a N y

Annals of Applied Probability Institute of Math. Statistics ** ** 2442 ** ** 2420 45 P,M 25 Ym Yq

Annals of Mathematics, Ser. 2 Princeton University Press 2774 2432 2555 1700 1650 1600 0 P,M 100a Yz Nv

Annals of Probability Institute of Math. Statistics 2340 2414 2520 3094 3036 2628 45 P,M 25 Nm Yq

Annals of Statistics Institute of Math. Statistics 2442 2442 2475 4613 4563 4126 45 P,M 25 Nm Yq

Applied Math. and Computation North-Holland (Elsevier) 2130 2220 2059 Applied Math. and Optimization Springer-Verlag 3120 2574 2464 800 750 730 0 p 25 N Yg

Bulletin of the AMS American Mathematical Society 3030 2418 3388 21194 23813 28070 0 P,M 50 Nms Yj

Comms. on Pure and Applied Math. John Wiley & Sons 2260 2356 2294 Constructive Approximation Springer-Verlag NR 2464 2310 NA NA 775 0 P,M 50 N N

Designs, Codes and Cryptography Kluwer Academic Publishers ** ** 2805 ** **

Differential and Integral Equations Ohio University 2670 2686 2607 Discrete and Computational Geometry Springer-Verlag NR 2808 2844 NA NA 897 0 P,M 50 N N

Duke Mathematical Journal Duke University Press 2460 2496 2624 1177 1184 1127 0 P,M 100 N N

Dynamics and Control Kluwer Academic Publishers ** ** 2492 ** **

Ergodic Theory and Dynamical Sys. Cambridge University Press 3000 2849 2686 499 530 538 0 P,M 100 N Yk

Houston Journal of Mathematics University of Houston 2490 2139 2030 440 440 470 50 p 50 Yx N

Illinois Journal of Mathematics University of Illinois Press 2200 2368 2117 1081 1093 1008 40 P,M 100a y N

Indiana University Math. Journal Indiana University 2290 2250 2368

Information and Computation§ Academic Press 3053 2415 2380 NG NG NG 0 p 50 N N

Journal of Algebra Academic Press 3354 2240 2277 NG NG NG 0 p 50 N N

Journal of Algorithms Academic Press 3010 2520 2627 NG NG NG 0 p 50 N N

Journal of the AMS American Mathematical Society 2660 2590 2664 507 811

I

907 0 P,M 50 Nms Yj

Journal of Approximation Theory Academic Press 2967 2240 2100 NG NG NG 0 p 50 N N

J. of Assoc. for Computing Mach. Assoc. for Computing Machinery 3400 3318 3256 J. of Combinatorial Theory, Ser. A Academic Press 3139 2304 2346 NG NG

I NG 0 p 50 N N

J. of Combinatorial Theory, Ser. B Academic Press 3053 2627 2485 NG NG NG 0 p 50 N N

Journal of Complexity Academic Press ** 2277 2077 ** NG NG 0 p 50 N N

J. of Differential Equations Academic Press 3225 2277 2294 NG NG NG 0 p 50 N N

J. of Differential Geometry Lehigh University 2630 2312 2244 J. Dynamics Differential Equations Consultants Bureau (div. of Plenum) ** 2240 1782 **

Journal of Functional Analysis Academic Press 3139 2208 2343 NG NG NG 0 p 50 N N Journal of Geometric Analysis CRC ** ** 2552 ** **

Journal of Graph Theory John Wiley & Sons 2480 2448 2592 Journal of Integral Equations & Appl. Rocky Mt. Math. Consortium 1943 1848 1768 120 140 170 35 p 50 N N

Journal of Logic Programming North-Holland (Elsevier) 3320 3362 3230 J. of Math. Analysis and Appl. Academic Press 3053 2170 2201 NG NG NG 0 p 50 N N J. Math. Systems Estim. Control Birkhiiuser Boston ** ** 2448 ** ** 100 0 p 25 N Np

J. of Multivariate Analysis Academic Press 3225 2170 2100 NG NG NG 0 p 50 N N Journal of Number Theory Academic Press 2240 2176 2343 Journal of Optimal Theory Appl. Plenum Publishing 2482 2201 2232 NG NG NG 0 P,M 0 N N

Journal of Symbolic Logic Assoc. for Symbolic Logic 3080 3354 3234 2533 2575 2593 0 P,M 50 Ys N

Journal of Theoretical Probability Plenum Publishing 1960 2001 1972 K-Theory Kluwer Academic Publishers 2442 2660 2673 Libertas Mathematics Amer. Romanian Acad. Arts Sci. 2250 1700 # 125 100 110 0 p 25 Yw Yr

Linear Algebra & its Application North-Holland (Elsevier) 1830 2016 1988 Mathematics of Computation American Mathematical Society 3080 2414 2964 1708 1953 1710 0 P,M 50 Nms Yj Math. Control Signals Systems Springer-Verlag 2730 2686 2730 NA NA 750 0 P,M 50 N N

Mathematical Systems Theory Springer-Verlag 3000 3240 3040 NA NA 1180 0 P,M 50 N N

Michigan Mathematical Journal University of Michigan 2810 2628 2592 Notre Dame J. of Formal Logic University of Notre Dame Press 3260 3108 3225 812 809 808 0 P,M 50 Yu Yn

Pacific Journal of Mathematics Pacific Journal of Mathematics 2225 2016 2046 Proceedings of the AMS American Mathematical Society 3120 2520 2920 1312 1603 1548 0 P,M 50 Nms Yj

Quarterly of Applied Mathematics Brown University 2990 2835 2765 1020 1385 1202 30 P,M 100f Nu Yk

Random Computational Dynamics Marcel Dekker ** ** 2250 ** ** NA 0 P,M 20b N N

Rocky Mountain J. of Mathematics Rocky Mt. Math. Consortium 1890 1836 1876 SIAM J. on Applied Mathematics Soc. for Indus!. & Appl. Math. 3570 3034 3280 2591 2519 2387 72 P,M 15c Ns Yj

SIAM Journal on Computation Soc. for Indus!. & Appl. Math. 3950 3807 3995 1954 1992 1881 72 P,M 15c Ns Yj

SIAM J. on Control & Optimization Soc. for Indus!. & Appl. Math. 3320 3071 3280 1829 1843 1808 72 P,M 15c Ns Yj

SIAM J. on Discrete Mathematics Soc. for Indus!. & Appl. Math. 4250 3818 3696 891 1039 1043 72 P,M 15c Ns Yj

SIAM J. on Mathematical Analysis Soc. for Indus!. & Appl. Math. 3230 2997 2940 1386 1379 1347 72 P,M 15c Ns Yj

(table continued)


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Char/Page

Journal Publisher 1988 1990 1992

SIAM J. on Matrix Analysis & Appl. Soc. for Indus!. & Appl. Math. 4250 3116 3403 SIAM J. on Numerical Analysis Soc. for Indus!. & Appl. Math. 3120 3116 3108 SIAM J. on Optimization Soc. for Indus!. & Appl. Math. .. .. 3198 SIAM J. on Scientific & Stat. Comp. Soc. for Indus!. & Appl. Math. 3650 3315 3198 Studies in Applied Mathematics North-Holland (Elsevier) 2570 2212 2054 Transactions of the AMS American Mathematical Society 3040 2701 2911

+ P = paper; M = microform ++ m = member dues; s = society/association; u = university;

w = journal is self-supporting; affiliated university provides copying facilities; x =journal is self-supporting; affiliated university provides office space and computing; z =journal is self-supporting; affiliated university provides office space only not in publication

NR not reviewed cover-to-cover by MR; unable to obtain journal issues NA not available NG notgiven

a two or more coauthors receive 50 offprints each b 20 offprints free with orders of 1 00 or more

Circulation

1988 1990

1186 1191 2594 2505 .. .. 1794 1771

1190 1466

c available upon request; 1 oo-200 additional free upon payment of page charges or if author supplies TE)< file f available only upon payment of page charges

g 1 Q-15% discount offered to agencies or libraries j membership-based discounts k discounts offered to AMS members n bulk discount up to 30% on back issues only p 5% discount to subscription agencies q discounts based on total dollar purchase (0%-25%)

20% discount on standing orders; 20% to subscription agencies; 50% to individuals v 1 0% discount to agencies; exchange rate to foreign libraries; individuals can subscribe for $60/year

# unable to obtain sample pages; journal issues not available § continuation of Information and Control

Primary Author-Prepared Journals

Journal Publisher

Algebras, Groups & Geometries Hadronic Press Comms. in Algebra Marcel Dekker Comms. in Partial Diff. Equations Marcel Dekker Comms. Statistics Stochastic Models Marcel Dekker Dynamic Systems and Applications Dynamic Inti. J. of Math. and Math. Sci. Univ. Central FUCalcutta Math. Socie~ Memoirs of the AMS American Mathematical Society Numerical Funct. Anal. & Optim. Marcel Dekker Panamerican Mathematical Journal Verma Random Structures & Algorithms John Wiley & Sons Semigroup Forum Springer-Verlag Stochastic Analysis and Applications Marcel Dekker

+ P = paper; M = microform ++ m = member dues; s = society/association; u = university

not in publication NA not available NG notgiven

b 20 offprints free with orders of 1 00 or more d 5 or 10 offered free per Managing Editor e offered to senior author

discount to individuals membership-based discounts

Char/Page

1988 1990 1992 1988

1860 1980 1675 1570 1575 1650 NG 1600 1664 1904 NG 1904 2340 2070 NG .. .. 1825 .. 2760 2656 3256 300 1930 2146 2052 617 1920 2072 2550 NG .. .. 1617 .. .. 2310 2387 1950 2040 3075 NA 1610 1281 1536 NG

DECEMBER 1993, VOLUME40, NUMBER 10

Circulation

1990

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Algebra and Logic Consultants Bureau (div. of Plenum) 3040 3256 3393 Chinese J. of Numerical Math. Analysis Academic Press NR 2573 2262 NG NG NG 0 p 0 N Yh

Differential Equations Consultants Bureau (div. of Plenum) 3735 3696 3293 Functional Analysis & its Applications Consultants Bureau (div. of Plenum) 4690 3828 4134 Journal of Soviet Mathematics Consultants Bureau (div. of Plenum) 4000 3478 4012 Lithuanian Mathematical Journal Consultants Bureau (div. of Plenum) 4000 3168 3115 Math. Notes of Acad. of Sci., USSR Consultants Bureau (div. of Plenum) 4410 3740 3649 Mathematics USSR - lzvestiya American Mathematical Society 3360 3081 3040 426 580 495 0 P,M 50 Nms Yj

Mathematics USSR - Sbornik American Mathematical Society 3320 3240 3280 423 584 508 0 P,M 50 Nms Yj

Proceedings, Steklov lnst. of Math. American Mathematical Society 3320 3040 3192 331 484 352 0 P,M 50 Nms Yj Siberian Mathematics Journal Consultants Bureau (div. of Plenum) 4360 3698 3690 Soviet J., Automation & Info. Sci. Scripta 3670 4114 3744 Soviet J. Contemp. Math. Anal. Allerton Press 2770 3120 2940 NG NG NG 0 p 0 N Yh Soviet Mathematics (lz. VUZ.) Allerton Press 2825 3348 3219 NG NG NG 0 p 0 N Yh St. Petersburg Mathematical Journal American Mathematical Society ** 3024 3003 ** 122 144 0 P,M 50 Nms Yj

Sugaku Expositions American Mathematical Society 2812 2812 2774 NA 252 185 0 P,M 50 Nms Yj Theoretical & Math. Physics Consultants Bureau (div. of Plenum) 4090 3960 4264 Theory of Probab. & its Application Soc. for Indus!. & Appl. Math. 3740 2997 3237 1030 744 677 0 P,M 0 Ns Yj Theory Probab. & Math. Statistics American Mathematical Society 2520 2176 2736 215 341 270 0 P,M 50 Nms Yj Trans. of Moscow Math. Society American Mathematical Society 3080 2808 ** 383 497 ** 0 P,M 50 Nms Yj Ukrainian Mathematical Journal Consultants Bureau (div. of Plenum) 4370 3696 3219

+ P = paper; M = microform ++ m = member dues; s = society/association; u = university

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h 35% discount if 3 back volumes are ordered membership-based discounts

Minimal Surfaces A. T. Fomenko, Editor Volume 15

This book contains recent results from a group focusing on minimal surfaces in the Moscow State University seminar on modern geometrical methods, headed by A. V. Bolsinov, A. T. Fomenko, and V. V. Trofimov. The papers collected here fall into three areas: one-dimensional minimal graphs on Riemannian surfaces and the Steiner problem, two-dimensional minimal surfaces and surfaces of constant mean curvature in three-dimensional Euclidean space, and multidimensional globally minimal and harmonic surfaces in Riemannian manifolds. Prepared with attention to clarity and accessibility, these papers will appeal to mathematicians, physicists, and other researchers interested in the application of geometrical methods to specific problems.

1991 Mathematics Subject Classification: 05, 53, 58; 81 ISBN 0-8218-4116-5, 342 pages (hardcover), July 1993 Individual member $82, List p1ice $137, Institutional member $110 To order, please specify ADVSOV/15NA

All prices subject to change. Free shipment by surface: for air delivery, please add $6.50 per title. Prepaymem required. Order from: American Mathematical

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The Forum section publishes short articles on issues that are of interest to the mathematical community. Articles should be between 1000 and 2500 words long. Readers are invited to submit articles for possible inclusion in Forum to:

Notices Forum Editor American Mathematical Society P.O. Box 6248 Providence, RI 02940

or electronically to not i ces@math. ams . org

Editor's Note: The following articles were solicited by the Forum Editor to provide two perspectives on the topic of the "New Directions of the AMS". Each author was provided with a copy of the other's article and given the opportunity to write a rebuttal article.

Professor Gangolli received his Ph.D. from MIT in 1961 and has been a member of the faculty at the University of Washington, Seattle, since 1962. He received a Sloan Fellowship in 1966 and the Paul Levy Prize in 1967. Gangolli was an AMS trustee (1984-1989) and is chair of the Society's Committee on Education (1991-present). He has been a member of the Mathematical Sciences Education Board since 1991.

Professor Mac Lane received his D. Phil. from the University of Gottingen in 1934. He joined the faculty at the University of Chicago in 1947; he retired in June 1982. Mac Lane was president of the Mathematical Association of America (1951-1953) and of the AMS (1973-1974). He was vice-president of the National Academy of Sciences (1973-1981), chairman of the Academy's Report Review Committee (1973-1981), and a member of the National Science Board (1974-1980). In 1989 Mac Lane received a National Medal of Science.

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What Directions for the AMS Today?

Ramesh Gangolli University of Washington

Until about ten to fifteen years ago the AMS functioned as an organization with the sole aim of fostering mathematical research. As a result, activities which relate directly and unambiguously to research were the ones that received the most attention. A growing sense that the concerns of the AMS must be broader on grounds of both principle and policy, led to the adoption of a revised statement of mission for the AMS and to the recent reorganization of the operational structure of the AMS. Admitting activities that do not relate directly to research is seen by some members as an unacceptable compromise of the AMS's foremost obligation. My purpose in the present article is to argue against this "fundamentalist" premise and make a case for the more "ecumenical" approach implicit in the recent changes.

The activities of the AMS, as envisaged in the reorganization that has taken place recently, can be grouped under the following headings:

1. Publications 2. Meetings and conferences 3. Education 4. Science policy, including advocacy and government

relations 5. Professional development of members Of these there can be no disagreement about the desirability

of the first two types of activity for an organization which has the promotion of mathematical research as a major mission. Publication activity of all kinds not only provides the main vehicle for the dissemination of mathematical work, it also provides the major part of the revenue of the AMS. Similarly, meetings and conferences (especially research conferences) have long been one of the most essential and valuable activities of the AMS. Any ambivalence that has been felt centers on the desirability of the AMS devoting its energies and resources to the activities that fall under the other three headings, namely, under 3, 4, and 5 in the above list. The fundamentalist approach would excise these offending activities.

It is not hard to see the cultural and historical antecedents of the fundamentalist attitude. At an individual level we all admire the archetype of the philosopher/scholar, all of whose


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being is intensely concentrated on the pursuit of knowledge and on contemplation. A heroic integrity suffuses this image, which stems from philosophical ideas that are essentially Platonic. The widely felt admiration for such individuals (many of whom, without a doubt, contribute decisively to the shaping of durable intellectual ideas and paradigms in our society) easily translates into an attitude which holds that the same single-minded pursuit of knowledge (so admirable in individuals) should be the modus operandi of organizations such as the AMS. Moreover, it is not surprising that many mathematicians, trained as they are to value the elegance that simplicity often embodies, find the idea of an organization focused on a single goal very appealing.

However, a principle which is clearly appropriate for guiding the course of an individual's life may not be suitable for an organization at all stages of its existence. Two important reasons why this is the case are germane to our discussion:

A. Organizations are collections of individuals who have a variety of interests and objectives. Even when these individuals band together for the pursuit of one or more stated goals, there can be wide divergences in their views as to how to proceed towards those goals. Most organizations find it necessary to accommodate a multiplicity of objectives and methods which acknowledges this variety among their members.

In the case of the AMS, the changes that have taken place in the composition and geographical distribution of its membership are striking. At the turn of the century mathematical research in the U.S. was a fledgling enterprise. As U.S. mathematics matured, a small but growing corps of mathematicians, trained mainly in the European tradition and committed to fostering similar traditions in the U.S., who were (not surprisingly) also in leadership positions in the AMS, molded the AMS primarily as an organization for fostering mathematical research. The cohort of mathematicians active in research was small and geographically compact. The institutions from which this cohort was drawn were very similar in their culture. Small meetings, easy personal contact, a sense of community, and a consciousness of being at the apex of the mathematical enterprise-all these made for a relatively intimate operation, allowing the AMS to define itself as an organization with a single purpose. Today the situation is radically different. Members of the AMS are drawn from many different kinds of institutions and from a much wider geographical distribution; and represent a very much broader spectrum of mathematical interests, activities, and concerns. The greater heterogeneity of the membership inevitably leads to a far broader spectrum in terms of the activities they regard as appropriate for the AMS. It seems to me that most members of the AMS would agree that increased activity by the AMS in mathematics education at all levels and in matters relating to the professional development of its members fits· well in this broader spectrum. Further, I believe that most members will also agree that advocacy of the mathematics profession is a natural and essential function for the leading professional organization of mathematicians.

B. Most organizations cannot function in isolation from the society in which they exist. They are subject to historical

forces which shape their interaction with institutions and to forces of political economy which govern the support that society is willing to accord to them. (In contrast, individuals, especially highly creative ones, are often able to function in relative isolation from social and economic pressures, either because of individual patronage or because of a limited system of social patronage available for a small number.)

Two major historical forces have propelled the mathematics profession towards the changes we are talking about. These forces impinge not just on the enterprise of mathematics but on all of U.S. higher education. Both are long term, have been in operation for some time, and I believe that both are going to continue to operate for at least another decade. They are (a) the continuing commitment of U.S. society, and therefore of the federal and state governments, to the principle of universal access to higher education; (b) the continuing acceptance of the idea of the U.S. as an open society, with opportunities available to all based on their ability. These two forces have sometimes fed on one another and have had a significant effect on the development of U.S. universities over the last forty years.

The precise ways in which these forces have impinged on the mathematics profession are complex, and I think it would be useful to consider them briefly. The first set of forces stems from the aftermath of World War II when the GI bill first opened the doors of higher education to a much larger population than had been the case at any previous time. The tremendous expansion of U.S. higher education which followed also afforded employment opportunities for mathematicians at many state-supported universities and favored the establishment at these universities of groups of mathematicians active in research, with valid claims on the attention of the AMS, leading inexorably away from the intimate club-like operation which the AMS had been until then. Moreover, the post-WWII expansion of the higher educational apparatus came in conjunction with a subtler but fundamentally irreversible structural change in U.S. education, namely, the emerging acceptance of the principle of universal access to higher education. Acceptance of that principle played a major role in providing the large U.S. state universities with a funding base from state governments and enabled them to offer employment to a generation of excellent research workers. This, combined with the support of research provided by the U.S. government through various agencies (in the wake of Sputnik), enabled many state universities to build excellent faculties and to establish themselves as centers of research. Nevertheless, the fundamental rationale for their support by the state remained (in the eyes of the state governments at any rate) the same, namely, the education of large numbers of young people.

The forces mentioned in (b) above, based on the powerful idea of maintaining the U.S. as an open society with equal opportunity for all, have their philosophical roots in the U.S. Constitution. They were in operation throughout the sizable population movements of the nineteenth century into the U.S., although attenuated in various ways and always racially selective. These forces have both an external and


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internal scope. Externally, they have led to the acceptance of immigrant scientists, as during the Holocaust in the thirties and the early forties and more recently in the aftermath of the breakup of the USSR and the repression in China. Internally, these forces have, after too long a lapse, found their noblest expression in the civil rights movement and the movement for women's rights. Again, the specific effect of these forces on the mathematics profession has been complex: On the one hand, the increase in the number of professionals by immigration has Jed to a percolation of talented mathematicians to institutions that are at successively broader levels of the higher education pyramid. Their talents lead naturally to an improvement of the mathematical life at these institutions, and their employment at these institutions tends to enlarge the boundaries of the natural constituency of the AMS. (It is not unreasonable for them to look to the AMS for some acknowledgment of their existence and for some interest in their problems.) On the other hand, affirmation of equal opportunity for minorities and for women has led inexorably to expectations that the mathematics profession ought to be significantly engaged in mathematics education at all levels, in ways that are demonstrably more effective than simply "teaching class". The expectation comes both from the mathematics community itself, out of a sense of social responsibility, and from the federal, state, and local governments which largely provide the support for the mathematics profession.

Another concomitant to these forces is the perception that the preparation of mathematics teachers at all levels is a great need and the expectation that the mathematics profession should contribute to meeting this need. State governments inevitably look to the universities, and in particular to the mathematics departments at those universities, to perform this function. In many major state "research" universities where the MAA presence is weak, the only professional mathematical organization that can have any impact is the AMS. It seems right, and indeed essential, that the AMS accept the responsibility to work in conjunction with the MAA to help meet this pressing need.

Thus, we see that there is a definite pattern of powerful historical forces, based on certain principles adopted by U.S. society, which have militated for a broadening of the focus of the mathematics profession to include other concerns in addition to mathematical research. As the premier organization of mathematicians, the AMS needs to respond responsibly and credibly to these forces. If, as the fundamentalist view urges, the AMS confines its activities to just those that foster research, it is bound to be regarded by the rest of society as either being naively out of touch with some of the most pressing issues of the times or as being irresponsibly self-serving. In either case it cannot hope to be an effective advocate for the betterment of mathematical research. The alternative, which I vigorously recommend, is to consider the activities to which it is being propelled (both by societal forces and the changing character and concerns of its membership) as challenges, and to set about the task of figuring out what it can do as a professional organization to help meet those challenges and in what proportion its resources need to be divided between

its traditional activities and these new responsibilities. For I firmly believe that an organization must concern itself with the professional development of its members and that the community of research mathematicians can and should contribute a great deal to education-and it has a lot to gain in the long run from doing so. Just imagine an entire generation educated in such a way as to appreciate the beauty and the power of mathematics. Can anyone think of a better way of ensuring continued support for mathematical research?

Saunders Mac Lane University of Chicago

The American Mathematical Society is the only learned society in the United States devoted to the encouragement of all aspects of research in mathematics. Some recent developments may serve to distract the Society from that central purpose. But the purpose remains important: mathematical research depends on insights gained from hard study and has many long-range effects. Thus the Radon transformations discovered in Vienna in the 1920s found much later application in the interpretation of CAT scans. Similarly, the Calderon-Zygmund singular integral transforms, first broached in the 1950s, later turn up in the Atiyah-Singer index theorem. Highly abstract 1945 ideas about categories served twenty years later in the Grothendieck reformulation of algebraic geometry. Austere studies of computable functions by Church, Godel, Kleene, and Turing tum out later to apply to computing. Mathematical research cannot effectively be a subject for central planning.

Research is not easy; it is often lonely and almost always difficult but also full of excitement and adventure. For this individual adventure the AMS in the past has provided vital help: Journal publication and frequent meetings to present results, to provide discussion, and to recognize accomplishments. These important services are likely to be even more important in the future, with more limitation of federal and state resources combined with pressures for more central decision making.

The AMS has not now faced the present situation; instead it has provided a pedantically elaborate so-called "Strategic Plan" (Notices, 38 (1991), 573-582), full of all manner of accounting terminology-a "mission" and a "massconstituency". The plan was "facilitated" by a team from KPGM Peat-Marwick (what do they know about research?). Research in mathematics hardly came up at all in the strategic plan, and then chiefly in the context of a committee for the "Washington presence".

Washington. It matters because research funding and support for educational reform arises there, but often in confusing ways, with fixed-rate grants (just for math, not other sciences), subordination of research to technology, and the like. The AMS must track this development; but how to influence it? In past decades I have often been in Washington but only in part-time ways. I have observed many mathematicians and scientists who have come to DC to carry out important full-time tasks. In every case they have been co-opted by the establishment-the excitement, the lobbying,


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the prospect of influence, the pressure to "go along" with current fashion. What sets out to be science brought to DC turns out to be DC political pressures brought to bear on science, visibly so in our Notices.

But it is clear that politicians in Washington do not now and will not ever understand what mathematical research is really about-the excitement of finding new ideas or solutions and the thrill of solving a problem which has no necessary connection to any one technology. The AMS must stand outside politics to counter those extreme insider statements such as the recent one by an official that "mathematicians should no longer do research in algebra"-this at a time when the NSF program in algebra included very lively topics such as algebraic geometry. The AMS must make the case for the thrill, beauty, and utility of our research.

The Joint Policy Board for Mathematics (JPBM), representing AMS, MAA, and SIAM, is one form of presence (it is a successor organization to one which I encouraged twenty years ago as I left the presidency of the AMS). But even there, joint policy agreements are not easy; there was, for example, no effective input by JPBM on the recent recommendation of suitable mathematicians for the position of director of the NSF.

"Strategic research" is the latest slogan. Why? The Congress was concerned about industrial competitiveness. The president's science advisor, hoping to guide Congress and the bureaucracy through FCCSET (The Federal Coordinating Committee on Science, Engineering, and Technology), issued five "presidential initiatives" on topics such as "global change" and "advanced computing". The director of NSF, hearing all this, proposed that the NSF become the lead agency for the transfer of technology to industry; and then a Commission on the Future of the NSF was very gently dubious about this. Meanwhile, some NSF funding for the Division of Mathematical Sciences tied in to the initiatives, with the result that some individual proposals will be assigned by fiat to some initiative, while the funding for all disciplinary research in math is held flat. In brief, "strategic research" for our subject has been transformed into a method for putting mathematicians into pigeonholes with applied labels. This may possibly function for "Big Science", but it hardly does so for mathematics.

The AMS has not yet spoken out on this crucial issue; it has not pointed out that ideas come from individuals and that mathematicians can make effective contributions on the basis of their own choice, as in WWII, and not when they are assigned by the numbers to projects picked by officials.

This issue was raised in the June 1993 statement from the JPBM on the reauthorization of the NSF, in the form: "Thematic programming organized around downstream technologies should not be allowed to become the primary priority-setting mechanism for the NSF support of the mathematical sciences." The JPBM statement also supported more postdocs, including postdocs doing research with U.S. industries. It is not clear to me that the slender resources of an academic subject should be used for profit-making industry.

Education. Our research is and should be closely tied to

teaching, both because most college and university mathematicians teach and because the inspiration from new ideas is vital to good teaching (but the current enthusiasm for undergraduate research participation is dubious). Collegiate teaching is the prime interest of the MAA, founded at a long-past time when the AMS ignored teaching. The MAA should remain the lead mathematical organization here. The AMS has chosen to join in, perhaps because of the DC emphasis on education. But caution is needed. AMS activity in education projects should emphasize basic mathematical ideas (not slogans) and should not drain funds from mathematical publication. The deeper problems of education are not those of research. For example, I recently heard of one institution where an elementary first course was taught in a section with 250-300 students, where at most fifty showed up for lectures, some of them walking out in the middle of the lecture. The cure for this common situation does not lie in research, cognitive or otherwise, but in better funding to provide for smaller sections and in the encouragement of students with a deeper love of learning.

AMS cooperation with the MAA needs attention. At San Antonio in January I happened to attend the first-ever joint meeting of the MAA Board of Governors and the AMS Council. As the only remaining past president of both I was prepared to be much pleased at the combination. Unhappily, the discussion turned only on political slogans and on some inevitable action about the location of a meeting, with absolutely nothing said about the joint concerns of the two organizations in education.

This is sad because there are now real joint concerns, say, in the present activity about "calculus reform". But what reform? Some present efforts, with ample NSF funding, emphasize computation-the use of calculators with a resulting loss of attention to fundamental ideas. Calculus does indeed rest on ideas: the precise description of a limit, its uses in mechanics, in engineering, and in economics. Learning calculus means getting to understand these matters. The proposal that calculus should be "light and lively" can be used to make it slick and superficial, when it should be precise and perspicuous. Mathematics in modern science is the prime repository for precision; if the AMS is to cooperate on calculus reform, it must insist on an emphasis on mathematical content.

Employment. The AMS should attend to the plight of beginning mathematicians, who apply in vast numbers for the few jobs available. Diaries of such experience help little; policy and practice need attention.

On policy we should urge universities to replace some teaching assistants by instructors-a help in both directions. Perhaps we should also mute the call for more postdocs; those positions, useful in experimental sciences, are often just holding pens for beginners without jobs in mathematics.

In present practice, having I 000 applicants for one position is plain nonsense; no one will carefully read all 1000 or decipher all those recommendations. We must urgently find a better way. Perhaps an application consists of one page plus one reference and a note that more detail is available in a central depository (AMS?). Or perhaps letters of reference should have a target: "I think Ms. Y. is suited to the University


------- ----------------------~~~~~~~-----------------------------Forum

of Erehwon because .... " Or perhaps professors should give advice as to where to apply. It is high time that the AMS explore for better solutions.

In short let us abjure strategy and group-think and get on with helping real individual research and giving proper support to the coming generation.

Response by Professor Gangolli It seems clear that the promotion of research is, and must continue to be, a major activity for the AMS. As Professor Mac Lane points out, the AMS is the only learned society which is devoted to that end and must not relinquish that role. Beyond this common ground I found that our two articles were written with rather different perspectives. I chose to argue the need for acknowledging that the mission of the AMS should include other items besides the promotion of research, specifically, science policy, education, and professional development. Professor Mac Lane's article touches on these matters in some fashion, but for the most part he is concerned with arguing that such actions as are being taken by the Society are ineffective or inappropriate. This does not address the central point: Should the AMS be doing these things at all? I infer (from the fact that these matters are addressed in his article and what he says about them) that he agrees that they should concern the AMS but has great reservations about the way the AMS is tackling them. On the other hand, the general tenor of his article, and, in particular, the last sentence of it, asking that we should "abjure strategy and group-think and get on with helping real individual research and giving proper support to the coming generation", lead me to think that he would be happiest if the AMS abandoned all other concerns and devoted itself exclusively to the promotion of research. I believe that such a course for the AMS would be neither right nor effective.

Let me respond briefly to some of Professor Mac Lane's points, more or less in the order in which they appear.

Opening Remarks on Research. Almost everyone I know who is active in the AMS realizes that publications and meetings/conferences form the most important aspects of the Society's operations. Nowhere do I see, in the strategic plan or any other document, any suggestion that these activities be attenuated in any way. However, there is widespread awareness that the funding crises faced by universities and colleges may affect the income that the Society derives from its publications, and thereby the Society's ability to fulfill this aspect of its mission. (I will continue to use the word mission, a word I find quite suitable, even though Professor Mac Lane feels it is tinged with the taint of "accounting terminology".)

We all know that (alas) research is not easy, and everyone has heard the serendipity argument (CAT scans, coding, Turing machines, and so on). The trouble is that this serendipity has been a feature of the interaction between mathematics and its applications for quite a long time. It is hard to argue that the stepped-up levels of research support to which we became accustomed after World War II are somehow uniquely responsible for an increased number of examples of such

fortunate interactions. It would be harder yet to argue that expansion of research support would lead to an increase in such happy events. Thus the serendipity argument must be helped by other arguments and actions.

Washington. Professor Mac Lane says that it is clear that politicians in Washington do not now and will not ever understand what mathematics research is about. Yet he goes on in the same paragraph to urge that the AMS must make the case for the thrill, beauty, and utility of our research. Without some appreciation by politicians of what we are saying, this would be akin to the Falstaffian enterprise of summoning spirits from the deep. Perhaps it is true that most politicians will not fully appreciate the thrill and the beauty. We should nevertheless try to convince them that what we do is useful and what we say is credible.

In this vein I believe that the AMS has actually been trying hard to make itself heard on these issues. Perhaps the actions have not been effective, but that is not for want of effort. The fact is that, in Washington, mathematicians are often seen as a peripheral community, narrowly focused on its own interest (except when it comes to educational issues). Let us remember that, from the point of view of federal policy makers, the solution of the educational problems arising from our history of increased access to higher education (to which I referred in my article), the extension of economic opportunity to wider segments of the population, and the maintenance of our economic prosperity remain the topmost priorities. Unless the research community shows some appreciation of the legitimacy of the claim these problems have on the national agenda, and perhaps even a desire to help, I am afraid that repeated assertions about the thrill and beauty of mathematics will not get a sympathetic hearing from Washington.

Education. Professor Mac Lane reasserts the traditional view in the AMS that MAA should be the lead mathematical organization in the area of collegiate teaching. I actually believe that such will continue to be the case at almost all institutions that have undergraduate degree programs. However, unless the AMS complements the work of the MAA (in collaboration or acting alone, as the case may warrant), a very considerable number of institutions where the AMS has a presence but the MAA does not will be left in the cold. The undergraduate students at these institutions, in particular those at almost all the large state "research" universities, form a sizable and important constituency. The issue goes beyond whatever the community is doing in "calculus reform". It involves a stand on the culture of the mathematics profession and a clearer appreciation by the professoriate of its role as teachers as well as researchers at these institutions. As the organization with the largest presence at such schools, the AMS has a clear obligation in formulating and disseminating such a stand.

I would like to emphasize that, in my view, the long-term aspects of the education issue are compelling. We will never have citizens and, in particular, politicians who can appreciate the value of mathematics unless we as mathematicians try to ensure that the mathematical education of young people is of good quality. Doing this involves paying attention to a host


Forum

of extremely complex and daunting problems, including the preparation of teachers, assessment and standards for K-12 curricula, and the general education of the public. It is all too easy for the research community to say that this should. be done by other members of the mathematics community. I believe that research mathematicians can and should contribute to the solution of these problems, mainly by helping in the task of preparing school teachers, helping produce interesting materials, etc. The AMS must speak clearly and must do what it can to promote this point of view. Inevitably, what it can actually do will be limited by a variety of factors, not the least of which is that this is not the only item on the AMS agenda. But to shirk this important obligation is neither responsible nor judicious.

Employment. I share Professor Mac Lane's concern and frustration on the issue of employment of young mathematicians. Sometimes I feel guilty for having been born in the lucky generation. The steps that he advocates are clearly intended to help, and will help, if only as palliatives. Although I agree that the AMS could and should advocate to departments actions that will serve to improve the plight of young mathematicians, I remain dubious of the efficacy of AMS recommendations of specific courses of action, when the reality is that we have a welter of independent-minded departments who all want to have a shot at the entire stable of young applicants. To some extent this is inherent in a system that values free choice and wide opportunity. Perhaps I overstate my point, but I believe that I may not be far off the mark.

Response by Professor Mac Lane Both of us are concerned with the direction and the mission of the AMS. Professor Gangolli's article starts with a mention of the recent "Revised statement of the mission of the AMS" (in the Strategic Plan). But that statement was so full of eloquence that it hardly mentioned the support of mathematical research. That support was, is, and should be the prime activity of the Society, not diluted or defeated by extraneous matters. Our Society is the only national organization concerned with the welfare of all aspects of mathematical research. That concern does not need revision.

Professor Gangolli observes that, "Most organizations find it necessary to accommodate to a multiplicity of objectives and methods." The facts are otherwise; there is a variety of organizations with different objectives, so that individuals can express their varied interests by different memberships. The AMS is there for research; it should not be co-opted.

Professor Gangolli is enthusiastic for education; so should we all be when we teach. From its concern with research, the AMS has a natural interest in undergraduate and especially in graduate education in mathematics. But it simply makes no sense, as Professor Gangolli asserts, for the AMS to be concerned with "mathematical education at all levels". Why all? Why K-8?

Years ago when the AMS paid no attention to education, the MAA was established. Later it might have been effective to combine the two organizations; I once tried to do so. But

such a combination proved to be unacceptable and unwieldy; by now it is clear that there is so much to be done that there is plenty for two organizations. Clearly, it is the MAA which should be concerned with education at "all levels"; involving the AMS in this spreading task just produces confusion and conflict and diverts AMS resources.

Professor Gangolli talks of "historic forces" which shape institutions. I submit that this notion of "forces" is misleading pop sociology. It misuses the term "force", which we could at least teach well when we come to Newton's calculus. Moreover, many of these "historic forces" need resistance. Professor Gangolli speaks of the U.S. Constitution; this arose because of the need to resist the "forces" of colonialism. Today there are many anti-intellectual forces; we need the AMS as a strong defense.

An example of a destructive educational force is the recent National Research Council document "Moving Beyond Myths" (Notices, 38 (1991), 545-559). That report presented government views about collegiate mathematics teaching, dealt only in slogans, and avoided the real difficulties of teaching hard mathematical ideas. Such propaganda must be denounced (as it was by Hilton and Mac Lane in Notices, 38 (1991), 772-778). In currently fashionable terms the calculus should be both a pump and a filter.

Professor Gangolli writes eloquently about the good principle of "universal access to higher education" and observes correctly that this has led to many more state universities and so to more mathematical research. But this growth has been provided by a sharply graded system of institutions, ranging from two-year colleges or less to major state universities. It is precisely this scale which makes possible educational opportunity in keeping with ability.

Professor Gangolli asserts that in many major state research universities "the only professional mathematical organization that can have any impact is the AMS". That seems to me wrong. The AMS is for individuals (its members), not for its "impact" on institutions, public or private. The MAA is the professional organization which has many local and regional branches.

Historical forces do not respect real science. We need the AMS to encourage and advance the progress of research and to stem the assaults of nonsense. In brief, the AMS should not become the transmission belt for anonymous social forces.

There are other problems with Professor Gangolli's article. Some real issues are avoided by repeatedly calling the AMS a "Professional Society". The correct adjective is "Scientific". The word "professional" in such connections has been popularized by schools of education, who have left us with all that emphasis on "Teaching methods".

One cryptic comment on education in math mentions "many things that are demonstrably more effective than simply teaching class". Those things are not described, and it is not clear that there is any such rigorous "demonstration". Each of us does well to teach in his own way.

Again "if ... the AMS confines its activities to just those that foster research, it is bound to be regarded ... as being irresponsibly self-serving". This is said at a time when


- ;£~-· Forum

sses of high-paid lobbyists swarm in Washington. It also m~srepresents the traditional view of the AMS, which reads ~~t research is not the o~ly ~;"1S in~er~~t b'!t .i~ the chief ?ne.

The article also questwns club-hke acttvttles. Yes, thmgs re much bigger now, but this means that the AMS encour

:ges many small ~lubs (special sessions) for the necessary discussions of spectal research.

bottom line, raise their own salaries and cut back on industrial research labs. Washington tries to balance this by diverting the individual scientists to the transfer of technology so as to help competitiveness. Just recently, a Senate committee gave strong such orders to the NSF-see the editorial in the October issue of these Notices. This is a vital problem for all of science.

I do admire Professor Gangolli's high principles and assumptions, but his resulting . eloquent descript.ion of the present situation seems to be bhnd to many pressmg present

At the same time, some Washington advisors urge that we should no longer use or refer to the David II report and its emphasis on the long-term effectiveness of mathematical insight. (As I implied, Radon really understood integration.) But insight is our main achievement.

dangers. Thus he praises the support by states for the education

of large numbers of young persons but does not mention the many state legislatures which have cut appropriations for education. In Chicago, year after year, the city does not come up with the money needed for public schools; it is not the only such city. Such central problems in education are well beyond the resources of mathematics.

The crucial issue now for the AMS is to counter these and other anti-intellectual threats. Professor Gangolli's enthusiastic article just doesn't see them.

Perhaps we could agree that the objective of the AMS is the advocacy of mathematics (millenia old) and not of some nebulous "mathematical profession".

Captains of industry, concerned with the next quarter's

HISTORY OF MATHEMATICS

Golden Years of Moscow Mathematics Smilka Zdravkovska and Peter L. Duren, Editors Volume 6

This volume contains articles on Soviet mathematical history, many of which are personal accounts by mathematicians who witnessed and contributed to the turbulent years of Moscow mathematics. In today's climate of glasnost, the stories can be told freely for the first time, with a candor uncharacteristic of the "historical" accounts published under the Soviet regime. The articles focus on mathematical developments in that era, the personal lives of Russian mathematicians, and political events that shaped the course of scientific work in the Soviet Union. An important feature is the inclusion of two articles on Kolmogorov, perhaps the greatest Russian mathematician of the twentieth century. The volume concludes with an annotated English bibliography and a Russian bibliography for further reading. This book appeals to mathematicians, historians, and anyone else interested in Soviet mathematical history. The History of Mathematics series is published jointly with the London Mathematical Society (LMS).*

1991 Mathematics Subject Classification: 01 ISBN 0-8218-9003-4, 269 pages (hardcover), October 1993 Individual member $56, List price $94, Institutional member $75 To order, please specify HMATH/6NA

* Members of the LMS are entitled to member prices. The LMS is incorporated under Royal Charter and is registered by the Charity Commissioners.

All prices subject to change. Free shipment by surface: for air delivery, please add $6.50 per title. Prepayment required. Order from: American Mathematical Society, P.O. Box 5904, Boston, MA 02206-5904, or call toll free 800-321-4AMS (321-4267) in the U.S. and Canada to charge with VISA or MasterCard. Residents of Canada, please include 7% GST.


Computers and Mathematics

The Death of Proof? Mathematical definitions are precise and unambiguous. The use of language in mathematics is, for the most part, likewise precise and free of ambiguity. The axiomatic method and the definitive certainty of rigorous mathematical proofs (at least the shorter ones) result in mathematics being the most stable and reliable body of knowledge in the world. Mathematicians, or at least the majority of them-and practically all pure mathematicians-tend to feel very secure in this world of precision and absolute certainty. Not surprisingly, many of them, maybe most of them, tend to see the rest of the world in much the same precise way. This is reflected in the way they use language, the way they approach their colleagues, the way they behave on college and university committees, and so on.

Mea culpa. Until my widening research interests and increasing administrative experience brought me into regular contact with the world of nonmathematicians, I too tended to regard the world in a decidedly black-and-white fashion. So it came as quite a shock to discover that most of the academic world regarded mathematicians as a somewhat different category of being: "Provide them with the occasional crumb of sustenance, ignore everything they say, and for the most part they will get on with their mathematics without causing any bother," seems to sum up the attitude of most academic administrators. Fortunately, most of those administrators look upon us warmly, much like a beloved pet, so we are indeed able to get on with what we like best-doing mathematics.

I also discovered-! guess I knew this all along, but never really stopped to reflect on the consequences-that what we mathematicians mean by "mathematics" is not at all the same as the meaning ascribed by the rest of society. When politicians talks about mathematics, it is unlikely that they have the Shimura-Taniyama-Weil Conjecture in mind, or anything remotely like it. For politicians, and indeed for most of society, the word "mathematics" refers to the ability to perform arithmetical calculations and manipulate simple algebraic expressions. In using the word "mathematics" this way, the politician or person-in-the-street is not misusing language. For the vast majority of humankind, that is precisely what the word means. And since words get their meanings from society (a notion that itself runs counter to the mathematician's black-and-white view of the world), such people are, in a very real sense, correct. No matter that those of us in the business

Edited by Keith Devlin

protest that "mathematics" is really something quite different and that the world ought to use the word the way we do.

In fact it is not even the case that professional mathematicians use the word uniformly. This was illustrated by the recent discussions, in coffee rooms and on the Internet, of the article by John Horgan in the October issue of Scientific American. Titled "The Death of Proof", Horgan's piece concentrated in great part on the influence of computers on mathematics-the very subject matter of this column. The title, of course, was meant to be provocative and would have been better if followed by a question mark, as I have done here, but then it would have had far less impact. A question mark was used in the header for a box item on Andrew Wiles's proof of Fermat's Last Theorem, "A Splendid Anachronism?", according to Horgan. I think most of us would hardly regard the solution of Fermat's Last Theorem by means of "traditional mathematical methods" (i.e., no computers) as at all anachronistic. Indeed, it underscores once again the incredible power of those very "traditional mathematical methods" when it comes to solving the problems we formulate as mathematicians.

Proofs will almost certainly continue to occupy a supreme and central position in mathematics. At issue, surely, is whether the "definition-proof" paradigm continues to act as the definition of what constitutes mathematics, as it didor seemed to do--when most of us learned our ("real") mathematics. And this is really up to us. The rest of the world will almost certainly continue to think of "mathematics" as arithmetic and algebraic manipulation skills, whatever we do or say. But we control the meaning we, as a profession, assign to the word "mathematics", and we can decide whether to include experimental mathematics, visual reasoning, and the like, as genuine "mathematics".

Personally, I hope we do take a broad, inclusive view of what is acceptable for membership in, and acceptance by, the profession. For all that I might argue with a number of the statements in the Scientific American article, I found myself in far greater agreement with what the writer said than I do with those who take a fairly narrow, "traditionalist" view of what constitutes the subject.

As a definition of the word "mathematics", perhaps the proof is indeed dead or dying. In which case I would proclaim, "Long live the proof as an important part of a broad spread of mathematical activity!"



Editor's address:

Professor Keith Devlin School of Science Saint Mary's College of California P.O. Box 3517 Moraga, California 94575

Correspondence by electronic mail is preferred, to:

[email protected].

Reviews of Mathematical Software

'lEX on the Macintosh Reviewed by Tom Scavo, Yannis Haralambous,

and Werenfried Spitl

Introduction There are currently four implementations of 1FX available for the Macintosh family of computers: CMac'IFX, DirecflFX, OzTFX, and Textures. The latter is a well-known commercial product which won't be reviewed here; the others are either freeware or shareware and are the focus of this report. It is possible to assemble a complete 1FX processing system on a Macintosh for little more than $50 in shareware fees; or you can have a completely free 1FX system consisting of Oz'IFX 1.42 or CMac'IFX 2.0, together with BBEdit Lite and Excalibur, for instance.

When the Mac came out in 1983, many saw it as a totally different approach to personal computing. Rather than memorizing scores of arcane commands which had to be typed in, users could now choose commands from menus and click on buttons in windows using a mouse. This new graphical interface was friendly to users and, consequently, the gap between "users" and "programmers" widened.

But 1FX is a programming language. From the typical user's point of view, a 1FX document is a program to be written, compiled (or typeset), and executed (that is, previewed or printed). Other programs produce or convert ~onts, give PostScript output, or help with the preparation of tndices or bibliographies. In a command-line operating system

'Tom Scavo is an educator and sometimes technical editor. He has been a beta tester for various versions of OiiBX and also wrote the KI}3X macros now distribut~d with Alpha. He c~n be reached by e-mail at: scavo«<cie. uoregon. edu. Yan?IS Haralambous switched to lEX after his Ph.D. in Algebraic Topology. He IS the author of many oriental typefaces and typesetting systems, and is currently working at the Institute of Oriental Languages in Paris. His e-mail addr~s~ is yannis«<gat.univ-lillel.fr. Werenfried Spit is a theoretical physicist, presently at the University of Valencia (Spain). He has also been a local lEX troubleshooter during the last few years. His e-mail address is: spit«<vm.ci.uv.es.

(like DOS or Unix) these programs are sometimes controlled by batch files or scripts.

The traditional command-line way of doing things is in stark contrast to the Macintosh approach where commands are chosen from menus and applications are launched by ?ouble-clicking an icon with a mouse. So one question IS, do the programs under review sufficiently insulate the user from programming issues and the old command-line interface wherein 1FX originated? We shall see that the various Macintosh 1FX implementations address this question differently.

OiJEX Despite the version numbers attached to the various Macintosh 1FX programs, Oz'IFX is the most mature.2 Oz'IFX 1.42, for example, is a freeware 1FX program requiring only 880kB of memory and therefore capable of running on a 1MB Macintosh.3 But version 1.42 has its limitations, and serious 1FX users will outgrow it quickly. Version 1.6, on the other hand, implements 1FX version 3.141 and supports "big" 'IFX· Basically what that means is that there are fewer restrictions on the size of. documents or the number of macro packages that may be mput. The base configuration of version 1.6 requires 1300kB of RAM while an optimal setup requires 3100kB. Larger configurations are also possible.

Setting It Up The Oz1FX 1.6 distribution consists of five archived files (oztex, formats, fonts, inputs, and readme) requiring three high-density diskettes. You'll need a version of Stufflt to u.npack the archives and a set of PK fonts-a type of bit-mapped font-to match your screen and printer. Be forewarned, however, that the fonts consume a significant amount of space on your hard drive (a typical PK folder may contain 8MB of fonts, for example).

Version 1.6 comes with three format files: Plain, LaTeX, and NFSS-LaTeX ("big" versions of these format files are obtained by running INITEX from the menus). The latter implements the New Font Selection Scheme and makes it easy to substitute a PostScript (PS) font for Donald Knuth's Computer Modem (CM) text fonts. (Note that CM is still used to typeset the mathematics.) Overall, version 1.6 has excellent PostScript font support and will even download PS fonts to the printer on demand.

It is easy to configure Oz'IFX using the predefined configuration files accessible from the Configs menu. With these files you can change the screen or printer resolution, memory configuration, or printer designation on the fly (see Figure 1, p. 1354). By creating your own configuration files, you can modify virtually any 1FX parameter or specify multiple-search paths to make it easy to organize an assortment of macros, styles, and fonts. Other data, such as the name and location

2An early version of OzlFX was reviewed in these Notices (36, 680-681, July/August 1989).

31n its optimal state, version 1.42 needs 1700kB of memory, however.


1354

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of (1) with /(:t)

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ll(:t) = a(:t- :t.,) +b.

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2

..,

and that $\alpha$ is a fixed p•::. (\ref {eqn: t'oot-of-f}). We w i ll J---------....-:..-r----------------------but first let's derive (\r·ef {eiJt+T!'I!!!I!II"'!'I!IIT""!III!!~II!II!ror.,-~-m!~ei"':"""'T"!lii!!I!I'""T'l!""""''"'"------r-appt··ox i mate the g i ven f unc t i on $f $ at $x x...n$ by a I. i near f unc t i on $y$ of the form \beg i n{d i sp la':tmath}

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Figure I: Oz1E;X



of the default configuration file, command key shortcuts, and menu item names are stored as standard Mac resources.

In general, Oz'IEX 1.6 works seamlessly with virtual fonts.4

It will "devirtualize" a DVI file automatically or on command. There is also a stand-alone application called OzTools which implements a number of standard font-related TEX utilities (PLtoTF, TFtoPL, VFtoVP, VPtoVF).

Using the Program Formatting, viewing, and printing are completely integrated in Oz'IEX 1.6. When the . tex file is ready, first choose the appropriate command from the menus to typeset the document (subsequent compilations may be activated with command-T). Then, assuming there are no errors, type command-W to bring up the view window and command-P to print the resulting . dvi file. Note that Oz1fX will also view and print DVI files from other systems, and conversely.

Oz'IEX is one of the slower Macintosh 1fX implementations, but version 1.6 does support background printing and typesetting. In other words, you can edit a file that is being printed or switch to some other application while a large document is being formatted. The only restriction is that you may not print and format at the same time.

The program has always worked well with PostScript printers, and now version 1.6 prints directly to non-PS printers such as the ImageWriter, StyleWriter, DeskWriter, and LaserWriter SC. By the way, additional PK fonts have been added to the standard Oz1fX distribution to satisfy the needs of Style Writer users.

Oz1fX began previewing graphics with version 1.4, and now it will output these same graphics files on non-PostScript printers. In fact OtiEX 1.6 prints all of the common Mac graphics formats (PICT, MacPaint, and EPSF) on any printer. Even encapsulated PostScript files will print on non-PS printers since Macintosh EPSF files include a PICT preview which Oz1fX is smart enough to use for printing purposes.

Version 1.6 includes a concise 29-page user manual. Most of what you need to know about installation, fonts, and program operation will be found in this document. There are also some fact files accessible from the program's Help menu.

Euro-Oz1fX is a repackaging of vanilla OifEX but with DC fonts (instead of CM fonts) and DC-oriented format files. 5

DC fonts contain 256 characters as opposed to CM's 128. The extra characters are used mainly for accents so that an accented character is a single character. This makes it easier to hyphenate words containing accented characters, and so Euro-Oz1fX is particularly useful for typesetting languages other than English, Latin, Hawaiian, or Indonesian.6

What is Missing? First of all, Oz1fX does not include an integrated editor. And although previewing and printing are built-in functions of Oz1fX, many other 'lEX-related activities are not. There are

4 See a recent Notices article on virtual fonts (40, ~9. May/June 1993). 5TUG has recently embraced DC fonts as the new lEX standard. 6Thanks to Timothy Murphy for information regarding Euro-Oii)3X.

no integrated METAFONT, BIBTP', or Makelndex utilities, for example. (But there are freeware, stand-alone versions of these programs-see the list of related software at the end of this article.) Despite these shortcomings, OzTEX is very popular and will satisfy the needs of all but the most demanding 'lEX users.

DirecfiEX Compared to other 'lEX implementations for the Macintosh, DirecflEX is the more traditional, no-compromise solution. Instead of bringing 'lEX closer to the spirit of the Mac, it leaves 'lEX as it is and treats the Mac as though it were a command-line system. This is by virtue of Apple's Macintosh Programmer's Workshop (MPW),7 a programming environment strongly resembling Unix.

DirecffEX is a shareware implementation of 1fX for the Macintosh which works only in the presence of MPW. Version 2.0 of Direct'IEX is built on a "big" version of 'lEX 3.141 and TEX--Xf:T, a bidirectional 'lEX for typesetting Hebrew and Arabic (see Figure 2, p. 1356). The package also includes METAFONT 2.71 and numerous 'lEX-related utilities (BIBTP', Makelndex, DVICopy, DVIType, PoolType, GFtoDVI,GFtoPK,GFType,PKtoGF,PKType,PLtoTF,TFtoPL, VFtoVP, VPtoVF, MFT, PatGen, Checksum), as well as more specialized utilities such as Tangle and Weave for Pascal, C, and Modula-2. There is also a special version of METAFONT, called MFtoPK, which creates PK rather than GF files. DVI drivers for previewing and printing on PostScript or QuickDraw printers are included, as well as Erik-Jan Vens' utilities for converting PostScript fonts into METAFONT fonts.

How Does MPW Work? First of all, MPW is a text editor with powerful searching, sorting, comparing, and markup facilities. It also has a command line. When the enter key is pressed, the current line is interpreted as a command and executed. Multiple commands may be stored in a file (called a script) which is executed either by typing its name or via a menu item. As with other Macintosh-'lEX implementations, you open, typeset, and preview documents via menu commands; but what actually happens is that scripts are being executed in the background. These in turn call 1fX, the DVI drivers, and all necessary utilities.

Many tedious tasks may be automated with scripts. For example, if some fonts or font sizes for a particular document are missing, a script can automatically launch MFtoPK in the background, create the needed fonts, place them in the appropriate directories, and then continue previewing or printing the document. If virtual fonts are being used, DVICopy can be made to devirtualize the DVI file automatically. Text files from different sources (DOS or Unix) can automatically be converted to Macintosh format and vice versa. Public

7 MPW is commercial software (see the related software list at the end of this article). Some believe it is the best available programming environment for the Macintosh.


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domain text processing utilities like AWK and Perl can be used.

Using DirecfiEX and MPW Together One gets a strong sense of order when using DirecflFX and MPW. All commands issued appear in a special window called a "worksheet" and remain there until erased. A quick glance at the worksheet tells you immediately what's been done and what remains to be done. In this way the session is neatly recorded and you always know what's going on.

Standard operations have been assigned to various command keys. Once you've chosen your . tex file, command-1 will typeset it, command-2 runs BIBT~, command-3 invokes Makelndex, and command-4 checks for missing fonts. Finally, command-5 previews the DVI file, and command-6 prints it. You can modify these command keys or add new ones, if desired.

The METAFONT-related batch files, in particular, save you time and trouble. The system knows exactly which fonts are missing (even if you use several printers with different characteristics) and creates them on the fly.

With DirecflFX, encapsulated PostScript files may be included in your . tex documents using dvips syntax. Perhaps more importantly, PICT files may be converted into EPSF using a utility called ClipToRez.

What Are the Shortcomings? First of all, the documentation is rather laconic. And although the programs themselves are very quick, there are noticeable delays, since the scripts sometimes take a long time to perform their respective tasks.

Another problem stems from the fact that MPW cannot run two programs ("processes" in Unix lingo) simultaneously. This means you cannot preview a DVI file and edit the corresponding text file at the same time. Nor can you format the . tex file while the DVI file is being previewed. To get around these problems, however, another DVI previewer called MacDVI is included.

Finally, nonresident PostScript fonts are not downloaded to the printer automatically. You have to do this yourself before printing your document.

The Bottom Line DirecflEX is powerful, consistent, . and complete. If you like the idea of a Mac programming environment run by batch files and scripts or if you frequently run METAFONT and would like to create missing fonts on the fly or if you use BIBT~ or Makelndex and want this to happen automatically, then DirecflEX may be just what you've been looking for. But if you've never used MPW or have never worked with a command-line operating system, then DirecflFX may not be for you, unless, of course, you're willing to spend a couple of afternoons getting used to such an environment.

Finally, DirecflEX (like ern'IEX on the PC) is written and supported by a passionate hacker who incorporates new versions and corrects bugs in a matter of days. There are times when this fact can be of vital importance.

CMac'IEX CMac'IEX 2.0 is a recent port of Unix C-1EX to the Macintosh. 8

Its strengths and weaknesses are summarized below: • CMac'IEX is reasonably fast. • The main program includes the formatter and an editor

and requires 2MB of RAM. The previewer, which is a separate application, requires an additional megabyte of memory.

• Included in the package is dvips (a program that converts DVI files into PostScript) and a print utility.

• Also included is INITEX, META FONT, and a large number of font handling utilities (AFM2TFM, DVICopy, DVIType, GFtoDVI,GFtoPK,GFType,MFT,PKtoGF,PKType,PLtoTF, PoolType, TFtoPL, VFtoVP, VPtoVF).

• Specification of path names is handled by a separate application.

• The program provides support for PostScript fonts (a corresponding set of . tfm and . vf files are included) and will download nonresident PS fonts to the printer on demand.

• Extensive documentation is lacking. • CMac'IEX is freeware. However, a "big" version is avail

able from the author for $25.9

Installation Unless you're familiar with Unix 'lEX. installing and using CMac'IEX may be tricky. Although unpacking the archives is easy (there are fonts, styles, various input files, and two formats-plain 1EX and h'IEX}, you'll have to run a small application to set all the path names or use a program like ResEdit to change the path names directly. Unfortunately, there is no documentation explaining how to do this.

Because of its rather large memory requirements, CMac'IEX will not run comfortably on small machines. It needs at least 2MB of free RAM, although 4MB may be closer to an actual minimum (two for the formatter, one for the previewer, and one for a good editor). Since 'lEX's internal memory parameters are not accessible in CMac'IEX, this cannot be changed. Moreover, the built-in editor provides only minimal capabilities and cannot be disabled to conserve memory. A minor inconvenience is that CMac'IEX applications cannot be closed by the Finder when the Mac is shut down.

Features Working with CMac'IEX is fairly straightforward. From the menus, first choose the desired format and then open a document in an edit window before running the . tex file through the formatter. We've found CMac'IEX to be some 15% faster than Oz'IEX version 1.4, but on a small machine part of this speed advantage is lost by having to load the formatter and the previewer alternately (the previewer does remember the file name, however).

8CMaclFX is now up to version 2.1. lEX and dvips have been upgraded to version 3.141 and version 5.516, respectively. These programs will now process in the background, otherwise the functionality of CMac'IEX has not changed.

9The commercial version ofCMaclFX 2.1 now includes dvips version 5.516 and supports automatic generation of PK files.



The previewer has menu items for two levels of magnification, actual size and screen filling. Other magnifications are obtained by selecting a region with the mouse (see Figure 3). Provided the appropriate screen fonts are available in the Macintosh System file, the previewer readily displays PostScript fonts; but it will not handle virtual fonts unless the DVI file has been preprocessed with DVICopy. Unfortunately, the previewer will not display graphic files of any kind.

For those with PostScript printers, CMac1fX includes a port of Tomas Rokicki's dvips, regarded as one of the best DVI-to-PostScript converters available. Since dvips is available for almost any operating system, users running TEX on various machines can have the same setup across platforms.

CMaCIEX Summary For those running 1fX on multiple platforms or otherwise concerned with compatibility issues, CMac1fX is a good choice. The overhead of large memory requirements and poor documentation might offset this advantage, however. Some of

,.. Options -

0 testfont.dui

the included utilities like dvips, METAFONT, and the font conversion tools (GFtoPK, PLtoTF, etc.) are worth getting and using, even if you decide not to use CMac1fX.

Other Applications Given the religious fervor surrounding text editors, Oz1fX's lack of one is perhaps fortunate. One popular text editor is Alpha with its extensive h1fX-mode of input. When opening a . tex file, a menu is added to Alpha's menu bar. Under this menu are templates for various document styles, commands, and environments; binary operators, relations, and arrows; the entire Greek alphabet; and much more. Most of these menu commands have corresponding command key equivalents. For example, to type a fraction, either choose the Fraction command from the Formulas submenu or type commandoption-F. As a result the string "\frac{}{ • }•" is inserted into your document with the cursor automatically positioned between the first pair of braces. Now type the numerator, press the tab key, type the denominator, and press the tab key

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again. That's all there is t? ~t. Other :BTFX commands and environments are handled stmdarly.

There are other Mac text editors which one might use. BBEdit, for example, is a solid application with many excellent features. But there isn't much support for :B'IEX users, nor is there a built-in macro language. On the other hand, the documentation is better than Alpha's, support is excellent, and BBEdit Lite is free.

Excalibur is an excellent freeware spell checker for the Mac. It does a good job of ignoring :B'IEX commands and will even spell check plain 1EX documents and other text files. Included in the package are facilities for creating and maintaining multiple-user dictionaries in addition to the standard English dictionary. British, Dutch, French, German, and Italian dictionaries are also available; and the author is aggressively soliciting additional language dictionaries from users.

HyperBIBTP' is a freeware HyperCard stack with facilities for entering, editing, sorting, and searching bibliographic database files compatible with BIBTP'. It also imports and exports BIBTP'-compatible files. Together with MacBIBTP',

HyperBIBTP' provides complete BIBTP' support on the Macintosh.

Summary Table 1 shows the various Macintosh 1EX packages at a glance. A few points are worth emphasizing, however: • When run from the MPW command-line, Direcfl:FX is

the speediest of the three programs reviewed here. It is also the most complete (disregarding the fact that MPW is required, which is no small investment).

• Although Oz'IEX is well integrated and easy to configure, it is missing some important '!EX-related tools, especially METAFONT and BIBTP'.

• CMac'IEX is probably the most compatible of the Macintosh 1EX implementations, but it is still pretty rough around the edges.

• None of the programs reviewed here can be said to have a good user interface, true to the spirit of the Macintosh. On the other hand, the design philosophy behind 1EX is somewhat orthogonal to menus and window-based

Table 1: Comparison of Various Macintosh 'lEX Packages

Oz'IEX 1.42 Oz'IEX 1.6 Direct'IEX 2.0

type of software freeware shareware shareware "big" 1EX support no yes yes TFX --XET support no no yes memory requirements 880-1700kB 1300-3100kB 2048-4096kB speed fair fair excellent compatibility good good good configurability excellent excellent excellent user interface fair fair fair integration good good excellent 1EX tools/utilities none some all WEB tangle/weave no no yes built-in editor no3 no3 yes built-in previewer yes yes yes4

built-in print driver yes yes yes multiple path support no yes yes non-PS printer support no yes yes graphics support good excellent good7

PS font support good excellent good virtual font support none good good ease of installation good good fair documentation good good poor user support good excellent excellent

1 A "big" version of CMaclfX is available directly from the program's author for $25. 2The previewer and print driver are separate applications in CMaclfX, requiring 1024kB and 512kB, respectively. 'A desk accessory called :EEdit is included with the OzlfX distribution. 4 A separate DVI previewer called MacDVI is also included in the DirecflEX 2.0 package. sCMaclfX includes a separate DVI-to-PostScript translator called dvips. 6PSPrint, a print driver for PostScript printers, is included with the CMaclfX distribution. 7The MPW tool ClipToRez converts the clipboard's contents into a standard Macintosh EPSF file.


CMac1EX2.0

freeware no1

no 2048kB2

good excellent

fair fair poor most no yes no5

no6

yes no fair

excellent fair fair

none unknown

1359


environments, so the fact that the interfaces are primitive compared with other Mac applications is perhaps what you'd expect.

As is usually the case in a comparative review such as this, which program is best depends on many factors. We hope we've given you enough information to make an informed decision.

'lEX-related Software for the Macintosh •Alpha

Version: 5.5 Type: Shareware Cost: $25 individual; $110 site license Comment: Requires System 7 Author: Pete Keleher E-mail: pete<Dcs. rice. edu (registered users only) Where: ftp from cs. rice. edu

•BBEdit Version: Lite 2.3 Type: Freeware Comment: May be upgraded to commercial version

for $49 Company: Bare-Bones Software E-mail: bbedi t@world. std. com Where: ftp from world. std. com

•CMac'IEX Version: 2.1 Type: Freeware Comment: A "big" version is available for $25 Author: Tom Kiffe E-mail: tkiffe@math. tamu. edu Where: ftp from math. tamu. edu

• DirecflEX Version: 2.0 Type: Shareware Cost: $100 Comment: Requires MPW Author: Wilfried Rieken E-mail: [email protected] Where: ftp from hadron. tp2. ruhr-uni -bochum. de

• Euro-Oz'IEX Version: 2.0 Type: Freeware Comment: Utilizes DC fonts Author: Yannis Haralambous E-mail: yannis@gat. ci tilille. fr Where: ftp from ftp. cicb. fr

• Excalibur Version: 1.4 Type: Freeware Comment: English, British, Dutch, French, German, and

Authors: E-mail: Where:

Italian dictionaries are available Robert Gottshall and Rick Zaccone [email protected] ftp from sol. cs. bucknell. edu

• HyperBIBTP' Version: 0.9 Type: Freeware Comment: Requires HyperCard version 2 Author: Evan Antworth E-mail: Evan. Antworth@sil. org Where: ftp from midway. uchicago. edu

• MacBIBTP' Version: 2.1 Type: Freeware Author: Jim Studt and Michael Kahn E-mail: kahn@informatics. wustl. edu Where: ftp from midway. uchicago. edu

• Macintosh Programmer's Workshop Version: 3.3 Type: Commercial Cost: $250 (CD-ROM); $350 (diskettes) Comment: Includes shell, assembler, and tools Where: Apple Programmer's and Developer's

Association P.O. Box 319, Buffalo, NY 14207

Phone: 800-282-2732

• MacMakelndex Version: 1.1 Type: Freeware Author: Johnny Tolliver Where: ftp from midway. uchicago. edu

• MacMETAFONT Version: 1.3 Type: Freeware Comment: Requires MPW (a stand-alone version by

Author: E-mail: Where:

• MFtoPK

Timothy Murphy (tim@maths. ted. ie) is available from ftp. maths. ted. ie) Victor Ostromoukhov [email protected] ftp from midway. uchicago. edu

Version: 1.0 Type: Shareware Cost: $20 Comment: Batch-mode METAFONT produces PK files

directly Author: Wilfried Rieken E-mail: wilfr@hadron. tp2. ruhr-uni -bochum. de Where: ftp from ftp.cicb.fr

•OiiFX Version: 1.6 Type: Shareware Cost: $30 individual; $150 group Comment: Version 1.42 is still freeware Author: Andrew Trevorrow E-mail: oztex@midway. uchicago. edu

akt 150@huxley. anu. edu. au (registered users only)

where: ftp from midway. uchicago. edu



Corrections

owing to a problem with electronic communications, the article by Richard Pinch on primality testing, published in the November column, was an earlier version that did not incorporate some late changes he wished to make. Those chanves are summarized here.

*eThe paragraph under the heading "Mathematica" should be replaced by the following:

Jerry Keiper has stated on behalf of Mathematica Inc. that revised code for PrimeQ using a strong form of the norm-one Lucas test, which deals correctly with the two counterexamples to the present version, will be incorporated in version 2.3. "Likewise the anomalies in ProvablePrimeQ are being looked into (one has been fixed already)."

* The "Conclusions" should be replaced by the following: All of the tests reviewed fall short, to some extent. of what

I would look for. Among the features I regard as desirable are: • Predictability. If a "random" choice of bases is to be

used, there should be an option to reset the random number generator to a consistent initial state.

• Consistency. The same tests should be used in all routines in the package.

• Speed versus certainty. The user should be able to

specify the use of a fast test with possibility of error or a slower test with "'proof" status.

• Documentation. Whatever the method used, the documentation should make it clear what the algorithm is, what the known classes of exception (if any) are, and an indication of the probability of an incorrect answer. No test which may accept composite numbers should be described as a test for primality. Axiom, Maple, and Mathematica all make this claim.

• A Primality certificate, where provided, should be described in sufficient detail for the user. at least in principle, to check it independently.

• Nomenclature. I strongly suggest that tests for probable primality should be called by names which reflect their status, such as IsProbPrime.

• Power. Routines which use the strong test only should use as many bases as decimal digits in the input.

On the basis of present knowledge, the best test would appear to be some combination of Miller-Rabin and Lucas tests.

Brad Lucier of Purdue University writes to say that Morain's software is available by anonymous ftp from ftp. inria. fr, file /INRIA/ ecpp. V3. 4 .1. tar. Z.

Brad Lucier can be reached at: lucier@math. purdue. edu.

LECTURES ON MATHEMATICS IN THE LIFE SCIENCES

Some Mathematical Questions in Biology: Predicting Spatial Effects in Ecological Systems Robert H. Gardner, Editor Volume 23

The central themes of these papers are the characterization of effects. exploration of mechanisms. and understanding of consequences of spatial heterogeneity on ecological systems. The new mathematical approaches presented here will be especially useful for identifying the effect of landscape change on ecosystem productivity and sustainability. Mathematicians and ecologists interested in these issues will find this book useful, and individual chapters will be of interest to physicists, econometricians, landscape ecologists, and human ecologists.

1991 Mathematics Subject Classification: 92; 93, 90 ISBN 0-8218-1174-6, 168 pages (softcover), October 1993 Individual member $20, List price $33, Institutional member $26 To order, please specify LLSCI/23NA

All prices subject to change. Free shipment by surface: for air delivery, please add $6.50 per title. Prepayment required.

Order from: American Mathematical Society. P.O. Box 5904. Boston. MA 02206-5904, or call toll free 800-321-4AMS

(321-4267) in the U.S. and Canada to charge with VISA or MasterCard. Residents of Canada. please include 7'7r GST.


Inside the AMS

Sponsored Membership Program Individuals and organizations can help foster mathematics in developing countries or countries with currency restrictions by sponsoring eligible mathematicians for membership in the Society. Through the newly revised Sponsored Membership Program, you can sponsor eligible mathematicians for only $16-a significant decrease from last year's rate of $27.

The program works two ways. You can provide the names of any eligible mathematicians you want to support, or they can be matched to you from a waiting list. Either way, as a sponsor you will help communicate mathematics on a worldwide level as mathematicians in currency-poor and developing countries stay informed of important events and developments in the mathematical sciences.

Sponsors are needed for 1994. The list of interested, eligible mathematicians is long, while sponsors are in short supply. If you agree that sponsorship is a worthwhile way to foster mathematics on a worldwide level, call Cheryl Rotella at 1-800-321-4AMS (4267) or 401-455-4133. You can also write to AMS, P. 0. Box 6248, Providence, Rhode Island 02940-6240, or send e-mail to amsmem@math. ams . or g.

New Pricing Scheme for Mathematical Reviews Products

Donald Babbitt Executive Editor, Mathematical Reviews

As most mathematicians are aware, Mathematical Reviews (MR) in either its print or electronic form is one of their libraries' most valuable and most costly mathematically related subscriptions. There perhaps is less awareness that the dominant underlying cost of MR products is the several million dollars it costs to produce the MR database over and above the essential and invaluable service contribution of thousands of reviewers. All costs must be recovered from subscriptions since there are no subsidies from member dues or outside agencies or from any other source. The costs directly related to MR products-such as printing, paper, electronic product materials, royalties to Silver Platter for the MathSci Disc, distribution of the products, etc.-are a relatively small component of the overall cost. Figure 1 illustrates the distribution of total costs. Keep in mind in

.......... ···········---,

interpreting the figure that there are approximately five times as many MR print subscribers as MathSci Disc subscribers.

Reviews Print

Publications

Database Creation

Math Sci Disc

Figure 1: Distribution of total costs of MR database and related products.

Beginning with the 1994 subscription year, the AMS is introducing a new pricing model, one that more accurately reflects the sources of various costs. It introduces the concepts of a data access fee paid by organizations to support the MR database from which all the products are derived and of a delivery fee that reflects the costs directly related to the MR products themselves, as discussed above. It is especially attractive for multiple-copy sales of a single product and for sales that involve multiple products.

Before presenting this new pricing system, we need to explain some subscription terminology. There are three categories of subscribers:

LIST: Libraries and institutions which are not Institutional Members or Corporate Members of the AMS.

INSTITUTIONAL: Institutional and Corporate Members of the AMS.

INDIVIDUAL: Individuals who are active or retired faculty or staff associated with an organization that is a List or Institutional/Corporate subscriber to the product in question. (Individuals who do not meet this criterion are able


Inside the AMS

to subscribe to MR Section Sets, which cover specific sections or groups of sections in MR.)

List and Institutional subscribers pay the data access fee. The rationale for this is that supporting the MR database is a stewardship responsibility for organizations that support research and/or instruction in the mathematical sciences.

In addition, List and Institutional members pay delivery fees for the products they purchase. Second and subsequent copies of a product are offered to organizations at the same price that the product is offered to individuals associated with that organization.

1994 Pricing for MR and MathSci Payment Schedule

Data Access Fee (per site) List Price Annual Institutional, Institutional Associate,

and Corporate members Annual

Delivery Fees Mathematical Reviews* Current year Annual

MathSci Tapes* Current file (current year updates) Annual Back file ( 1940-1993) One time

MathSci Disc (site)* Current discs (1988-present) Annual Back disc (1980-present) One time Archive disc (1940-1979) One time

MathSci Disc (individual**/second copies) Current discs ( 1988-present) Annual Back disc (1980-present) One time Archive disc (1940-1979) One time

MathSci Disc (network site copies)* Current discs (1988-present) Annual Back disc (1980-present) One time Archive disc (1940-1979) One time

1994 Price

$ 4,494

3,595

315

2,777 10,500

1,800 945

1,995

520 520 520

2,700 1,420 2,990

*Available only to sites (and individuals associated to those sites) that have paid the Data Access Fee.

**Available only to individuals at sites that subscribe to the corresponding disc.

The Society will continue to search for creative pricing and more efficient production strategies to enable MR products to be made as widely available as possible while at the same time generating sufficient revenue to recover the cost of producing the MR database and products. The Society is aware that there still is much to be done in order that many smaller educational institutions, institutions in the developing world, and unaffiliated individuals have access to these products. It is expected that this new pricing framework is a first step in the direction of the realization of this goal.

The Society would welcome any suggestions you may wish to make on these matters. Your suggestions may be sent to: Mathematical Reviews, 416 Fourth Street,

P. 0. Box 8604, Ann Arbor, MI 48107, or e-mailed to: [email protected].


Washington Outlook

This month's column is written by Lisa A. Thompson, who is the Assistant for Governmental Affairs of the Joint Policy Board for Mathematics (JPBM).

The House and Senate subcommittees responsible for the National Science Foundation (NSF) budget met in October to resolve differences in their FY 1994 appropriations, and NSF ended up with a nearly ten percent increase over its FY 1993 budget. This is an excellent outcome when one considers that total federal discretionary spending grew by only about 2 percent from FY 1993 to FY 1994.

National Science Foundation Budget (dollar figures in millions)

Research & Related Activities Education & Human Resources Academic Research Infrastructure Polar Research Program & Logistics Salaries & Expenses Office of Inspector General Critical Technologies Inst. NSF Headquarters Relocation

TOTAL, NSF

estimate FY 1993

$1,859.0 487.5

50.0 221.4 111.0

3.7 1.0

$2,733.6

approps FY 1994

$1,998.5 569.6 110.0 220.7 118.3

4.0 1.5 5.2

$3,027.8

pet increase

7.5% 16.8%

120.0% -0.3% 6.6% 7.8%

50.0%

10.8%

At the same time, Congress sent the NSF, and the scientific community. signals that will affect the way NSF does business for a long time to come. The Senate VA, HUD, and Independent Agencies Appropriations Subcommittee, chaired by Sen. Barbara A. Mikulski, in its report accompanying the FY 1994 funding bill, calls on the NSF to improve the relevance and accountability of its programs.

In a section called "The Future of NSF', the subcommittee asserts that the NSF must emphasize activities that address the nation's scientific, technological, and industrial goals and warns that failure to do so will result in static or declining budgets:

"In short, the Foundation can be at the heart of helping to shape the administration's science and technology policy in pursuit of specific national goals, or it can diminish

...... !

into becoming nothing more than a national endowment for science. (emphasis added)

"It is time for the Foundation to move beyond rhetorical statements about the value of strategic research or the importance of using science for the transfer of knowledge and technology. That, in the committee's view, is a fact oflife and political reality. Instead, it is now the time for the Foundation to move to identify that which is specific, immediate, and realizable in pursuit of this broader mission."

The report, issued in late September, stirred confusion and outrage in the scientific community. It clearly underrates the value of basic research and ignores the value of a federal agency uniquely dedicated to this aspect of the federal R&D enterprise. Understandably, the harsh tone of the report caused volatile reactions from some mathematicians and scientists. Letters denouncing the report were written to encourage the rejection of the offending language when the bill was taken up by the House-Senate conference. Unfortunately, it appeared that both sides were talking past each other, adding to the tensions between the Senate subcommittee and the academic research community.

In the end the House Appropriations Subcommittee did not dispute the Senate language, and it therefore stands as part of the official record for the FY 1994 appropriations bill. While report language is not legally binding, agencies rarely risk the loss of Congressional goodwill that would follow if they did not adhere as closely as possible to report language.

The Senate subcommittee is not alone in holding these views nor is this the first signal sent to the NSF concerning the relationship of its programs to national science and technology goals ( cf. the "Washington Outlook" column published in the November 1992 Notices). The NSF has made an increasing effort to demonstrate the connections between the activities it supports and the strategic interests of the U.S. In fact it devotes more than half of its research budget to critical areas of science and technology identified through the Federal Coordinating Council for Science, Engineering, and Technology (FCCSET) initiative process, for instance. Still, responding to the subcommittee's general concerns represents a political and intellectual challenge the NSF will have to address before its next budget submission early next year.

The report calls on the NSF "to specify, with particularity, in each NSF program directorate and in each initiative that is


Washington Outlook

part of the FCCSET interagency process, annual quantifiable performance milestones ... (which) should provide the basis for a vigorous evaluation that will ensure an increased ability to determine overall program effectiveness and assist in determining relative priorities in times of funding constraints."

In short, the NSF must improve its accountability. It is important to note that the NSF is not being singled out: All federal agencies are subject to Congressional and administration insistence on relevance and accountability. This was the thrust of Vice-President Gore's much-heralded National Performance Review, which led to hundreds of recommendations on how the federal government can improve service and cut costs.

By and large, how this will all play out depends on the response of the academic community. As the report says, "Rather than seeing this challenge as a threat to the status quo, the academic research community should see it as perhaps the last, best chance to seize the opportunity to be an integral part of the solution to the scientific and technological problems our country and its economy now confront."

The Advisory Committee for the NSF Mathematical and Physical Sciences (MPS) Directorate is seizing the opportunity. It met in early October and continued discussions

that are intended to lead to production of exactly the kind of information called for in the Senate subcommittee report. Recognizing the advantages of initiating change before it is mandated, the committee has formed three task forces to develop statements on the MPS mission and strategic plan, the MPS budget and priorities, and the development of performance measures for MPS and its programs.

Moreover, the Office of Science and Technology Policy and the Office of Management and Budget have decided to reorganize the characterization of federal R&D. Instead of using the well-known yet oversimplified basic research/applied research/development categories, agencies will be required to categorize their programs according to the policy sector to which they contribute, including health, manufacturing, communications, environment, agriculture, national security, education and training, and several others.

Clearly, there are major changes ahead for the NSF and consequently for how the mathematical community must think about public support for research in the mathematical sciences. But the pervasive nature of the mathematical and computational sciences should be seen as advantageous to the mathematical community's efforts to demonstrate the relevance of mathematics.

CONTEMPORARY MATHEMATICS

Representation Theory of Groups and Algebras Ronald L. Lipsman, Jeffrey Adams, Rebecca A. Herb, Stephen S. Kudla, Jian-Shu Li, and Jonathan M. Rosenberg, Editors Volume 145

Touching on virtually every important topic in modern representation theory, this book contains proceedings of the activities of the Representation Theory Group at the University of Maryland at College Park during the years 1989-1992. Covered here are the latest results in the field, providing a readable introduction to the work of some of the best young researchers in representation theory. The book spans a very broad spectrum-for example, within real representation theory, both semisimple and nonsemisimple analysis are discussed; within C*-algebras, both geometric and nongeometric approaches are studied. In addition, the articles are exceptionally well written and range from research papers aimed at specialists to expository articles accessible to graduate students.

1991 Mathematics Subject Classification: 22, 46 ISBN 0-8218-5168-3, 491 pages (softcover), March 1993 Individual member $30, List price $50, Institutional member $40 To order, please specify CONM/145NA

.......... :;,":, ,'' ,' ,' ,'

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...... ·- !...-.. --- -~:- - .... -.. -........ -.: .. -- -"-~::---

-- ------_ .. _ .. :~ .... -~ ~= ~ .... : ~: .. _ .. :~: :, .... : ' .... ~: ....

',


DECEMBER 1993, VOLUME 40, NUMBER 1 0 1365

News and Announcements

Kruskal Receives National Medal of Science

MARTIN D. KRusKAL of Rutgers University was awarded the National Medal of Science, the nation's highest honor for achievement in science. He received the medal "for influence as a leader in nonlinear science for more than two decades". President Clinton presented the awards to eight scientists at a ceremony at the White House in late September. Also honored were nine individuals who received National Medals of Technology.

A more extensive article about Kruskal's accomplishments is being prepared for an upcoming issue of the Notices.

Backus, Creator of FORTRAN, Receives Draper Prize

JOHN BAcKus, who in the 1950s created a scientific programming language that spawned a worldwide revolution in computing, was awarded the 1993 Charles Stark Draper Prize by the National Academy of Engineering. The $375,000 Draper Prize, the world's largest engineering prize, recognizes individuals whose outstanding engineering achievements have contributed to the well-being and freedom of all humanity.

Backus was honored for his development of FORTRAN (FORmula TRANslation), which was the first general purpose, high-level computer programming language. Before FORTRAN, computers had to be programmed in binary machine language, consisting of long strings of 1 s and Os. Backus set to work on a compiler, even though at that time many believed that such a compiler would slow computations and be less efficient. Within three years Backus had proved

1366

them wrong, and FORTRAN was the result. FORTRAN is still widely used in a variety of computer applications.

Backus received his bachelor's and master's degrees in mathematics from Columbia University. In 1950 he began working at IBM, where he led his research team in the development of FORTRAN. He was elected to the National Academy of Sciences in 1974 and to the National Academy of Engineering in 1977. Now retired from IBM, he continues to serve as a consultant.

The Draper Prize is endowed by the Charles Stark Draper Laboratory, Inc. in Cambridge, Massachusetts. Charles Draper pioneered modern inertial guidance systems used in aircraft, space vehicles, strategic missiles, and submarines.

Leslie Fox Prize The Sixth Leslie Fox Prize Competition was held this year, culminating in a symposium in Fox's honor at the University of Oxford in June. Leslie Fox, a noted numerical analyst at Oxford, died in 1992 at the age of73.

The prize was awarded to six finalists in the competition. The first prize went to YuYING LI of Cornell University, who at the symposium presented a lecture entitled, "On the convergence of reflective Newton methods for largescale nonlinear minimization subject to bounds". The second prize was awarded jointly to five individuals. Their names, their affiliations, and the titles of their symposium lectures are ALAN EDELMAN, University of California at Berkeley, "Eigenvalue roulette and random test matrices"; DEs HIGHAM, University of Dundee, "The dynamics of variable stepsize Runge-Kutta algorithms";

NOTICES OF THE AMERICAN MATHEMATICAL SoCIETY

ZHONGXIAO JIA, University of Bielefeld, "Generalized block Lanczos methods for large unsymmetric eigenproblems"; PEIXIONG LIN, Oxford University, "Characteristic Galerkin schemes for scalar conservation laws in two space dimensions"; and RoY MATHIAS, University of Minnesota, ''The stability of parallel prefix matrix multiplication with applications to tridiagonal matrices".

On the prize selection committee were Nancy Nichols of the University of Reading (chair}, Charlie Elliott of the University of Sussex, and Christopher Baker of the University of Manchester.

Murasugi Receives MSJ Prize The Autumn Prize of the Mathematical Society of Japan for 1993 has been awarded to KUNIO MURASUGI of the University of Toronto for his outstanding contributions to knot theory. The award was presented in September 1993 at the Osaka Prefectural University.

Zadeh Receives ASME Award LoFTI A. ZADEH, professor emeritus of computer science at the University of California at Berkeley, has received the Rufus Oldenburger Medal of the American Society of Mechanical Engineers (ASME). The medal, established in 1968, is named in honor of Rufus Oldenburger, a leader in the field of automatic control. Zadeh received the medal for his "seminal contributions in system theory; decision analysis; and theory of fuzzy sets and its applications to artificial intelligence, linguistics, logic, expert systems, and neural networks".

Zadeh received a bachelor's degree from the University of Teheran in Iran in

1942, a master's from the Massachusetts Institute of Technology in 1946, and a doctorate from Columbia University in 1949, all in electrical engineering. He was on the electrical engineering faculty at Columbia until1959, when he moved to UC Berkeley. During his tenure there he played a key role in establishing computer science as a major activity within electrical engineering.

Zadeh is the honorary president of the Biomedical Fuzzy Systems Association of Japan. He is a fellow of the Institute of Electrical and Electronics Engineers, of the American Association for the Advancement of Science, of the World Council on Cybernetics, and of the American Association for Artificial Intelligence. He is also a member of the National Academy of Engineering.

Olga Taussky-John Todd Lecture Program

The International Linear Algebra Society (ILAS) has announced the Olga Taussky-John Todd Lecture Program in honor of the two researchers' combined contributions and dedication to the field oflinear algebra. Under the program, every three or four years a talented younger person will be selected to deliver an hour address on his or her research at a specific linear algebra meeting endorsed by ILAS. ILAS has created a fund for contributions to support the program.

The first speaker in the lecture program is HELENE SHAPIRO of Swarthmore College. Shapiro spoke at the Pure and Applied Linear Algebra ConferenceThe New Generation, which was held in Pensacola, Florida, in March 1993. Shapiro was a student of Olga Taussky's at the California Institute of Technology. The two worked on questions concerning unitary similarity, numerical range, and Hermitian pencils; and Shapiro wrote her thesis on simultaneous block triangularization. After completing her doctorate in 1979, Shapiro was a Van Vleck Assistant Professor at the University of Wisconsin for a year. She then moved to Swarthmore where she has remained ever since. She has published numerous papers, culminating in a survey of canonical forms and invariants for unitary similarity that has been


widely read and acclaimed by numerical analysts as well as algebraists.

Olga Taussky received her doctorate in mathematics from the University of Vienna in 1930. She held positions at the University of Gottingen, the University of Vienna, the University of Cambridge, and the University of London before she came to the United States with her husband, John Todd, in 1947. John Todd was educated at Queen's University in Belfast, Ireland, and was a research student at the University of Cambridge. He held positions at Queen's University and King's College in London. When the two moved to the United States, they took positions at the National Bureau of Standards. In 1957 they both went to Caltech, where they have remained as professors of mathematics. Olga Taussky has written over 200 research papers and works in the areas of algebraic number theory, integral matrices, and matrices in algebra and analysis. John Todd is best known for his many books and research papers in numerical analysis and for his contributions to the editorial boards of Numerische Mathematik, Journal of Approximation Theory, andAequationes Mathematicae.

For more information about the Olga Taussky-John Todd Lecture Program contact Daniel Hershkowitz, Mathematics Department, Technion, Haifa 32000, Israel; e-mail: mar23aa@ technion.technion.ac.il.

Book Discount for AMS Members Computational Mechanics Publications is offering a 25% discount on all of its book publications and any accompanying diskettes to individual members of the AMS in the U.S., Canada, and Mexico. To obtain a copy of the catalog or to place an order, call or write to the address listed below. When placing an order, include a check for the full amount plus $3.00 per book for shipping and handling. Include your AMS membership code.

Sampling of Titles Boundary Elements: An Introductory Course $~ $44.25 Boundary Element Methods in Fluid Dynamics


$~ $96.00 Boundary Element

Supercomputing in Fluid Flow $~ $135.00

Please contact: In the U.S., Canada, and Mexico only, Computational Mechanics, Inc., Attn: Publications Dept., 25 Bridge St., Billerica, MA 01821; tel: 508-667-5841; fax: 508-667-7582.

DoE Mathematics Program The Department of Energy (DoE) funds research in the mathematical sciences in a number of areas, particularly applied mathematics and areas connected with the High Performance Computing and Communications (HPCC) initiative. The names of the directors of the relevant programs are given below. The DoE will soon change its e-mail addresses; for each individual listed the first e-mail address is the one currently in use, and the second one is the new address.

Applied Mathematics Frederick A. Howes 301-903-3166 [email protected] [email protected]

Computer Science Dan Hitchcock 301-903-6767 [email protected] [email protected]

HPCC Tom Kitchens 301-903-5152 [email protected] [email protected]

These programs are managed by the Offices of Scientific Computing (telephone: 301-903-5800, fax: 301-903-7774). The mailing address is the Department of Energy, Office of Scientific Computing, ER-30, GTN, Washington, DC 20585.

Mathematics Awareness Week 1994

Each year Mathematics Awareness Week (MAW) presents an opportunity to

1367

participate in a national effort to raise public awareness about mathematics. MAW 1994 will be held April 24-30, 1994, on the theme Mathematics and Medicine. In October the Joint Policy Board for Mathematics, which sponsors the event, sent out information kits to mathematical sciences departments across the country. Departments are urged to use the ideas in the kits to develop their own MAW 1994 festivities. These could range from public lectures about mathematics to mathematical contests to video presentations. The kits describe activities held at various institutions last year and include information about resources (videotapes, brochures, visual aids) that are available.

For more information about MAW contact: Joint Policy Board for Mathematics, Office of Governmental and Public Affairs, 1529 Eighteenth Street, NW, Washington, DC 20036; telephone: 202-234-9570.

News from the Center for Discrete Mathematics and

Theoretical Computer Science DIMACS, the Center for Discrete Mathematics and Theoretical Computer Science, a consortium of Rutgers and Princeton Universities and AT&T Bell Laboratories and Bellcore, is planning a 1994-1995 "special year" on the topic Mathematical Support for Molecular Biology. The program will start in August 1994 and run through August 1995, with some supplementary activities scheduled for the 1995-1996 year.

The special year is intended to expose a large portion of the community of discrete mathematicians and theoretical computer scientists to the problems of molecular biology that seem to be fundamentally problems of their field, to provide an opportunity for intensive collaboration to those discrete mathematicians and theoretical computer scientists who have already discovered these problems, to introduce some outstanding young people in the community to the field of mathematical/computational biology in a very concentrated way, and to develop a long-term base and model for interdisciplinary research in this field.

The DIMACS special year will be chaired by J. Messing and F. Roberts of

1368


Rutgers University. It will be co-chaired by L. Shepp of AT&T Bell Laboratories and M. Waterman of the University of Southern California.

The program will be supported by a distinguished steering committee, whose members, in addition to the chairs and co-chairs, are D. Axelrod (Rutgers), M. Farach (Rutgers), D. Gusfield (UC Davis), L. Hood (U. of Washington), R. Karp (UC Berkeley), E. Lander (MIT), E. Lawler (UC Berkeley), J. Lederberg (Rockefeller), J. Naus (Rutgers), M. Noordewier (Rutgers), W. Olson (Rutgers), D. B. Searls (U. Penn), W. Sofer (Rutgers), T. Wamow (U. Penn), P. Winkler (Bellcore), and A. Yao (Princeton).

The program will include extensive collaboration with biologists through the participation of the Waksman Institute for Molecular Genetics at Rutgers, the Center for Molecular Biotechnology at the University of Washington, and the Genome Center at the University of Pennsylvania.

The special year will feature a series of workshops and mini workshops, a seminar series and distinguished lecture series, a visitor program, and a postdoc program.

Due to the interdisciplinary nature of this special year, DIMACS hopes to lengthen the fellowship period for special year postdocs to twenty-five months, including a preliminary month, August 1994. The traditional approach to DIMACS postdocs (encouraging them to pursue their own research while exposing them to a wide variety of research opportunities) will be augmented with several intensive periods of training in the biological sciences. Many of the postdoc training activities will be open to those in the community who wish to participate. Inquiries can be sent to [email protected].

DIMACS will sponsor a visitor program in which researchers can spend some time at the center, perhaps coordinating with a trip to one of the special year workshops or visiting during a sabbatical leave. Several prominent researchers in biocomputing and biomathematics have already agreed to long-term visits during the special year; they include D. Gusfield, G. Lawler, and M. Waterman. Inquiries about


vtsttmg should be sent to special@ dimacs.rutgers.edu.

During the special year there will be a regular research-oriented seminar series, and DIMACS will also host a distinguished lecture series. Among those who have already accepted invitations to participate in the series are D. Gusfield, L. Hood, S. Karlin, J. Lederberg, J. Messing, and M. Waterman.

The special year program will be centered around a series of workshops open to the entire community. Although the exact titles and dates are not yet finalized, the plans are to have a workshop on Sequencing and Mapping in October 1994, on Sequence Alignment in November 1994, on Evolution and Phylogeny in February 1995, and a week-long program on Protein Structure and on Sequences of Proteins and Antibodies in March of 1995. The center will also be running the fourth in a series of "DIMACS Algorithm Implementation Challenges", to culminate in a workshop in September 1995.

There will be a series of one-day mini workshops organized around a topic of current interest and frequently scheduled at the last minute. Among the topics already tentatively scheduled are programs on RNA Structure in the fall of 1994, Combinatorial Structures in Molecular Biology in the fall of 1994, DNA Structure and Regulation in the spring of 1995, HIV Sequence Data in the spring of 1995, and Gross and Fine Structure of DNA in the spring of 1995. Other potential topics for miniworkshops include Database Aspects of Biological Data, DNA Fingerprinting, Information Theory, as well as topics outside of molecular biology such as Interacting Particle Models of Ecological Systems and Competition Graphs/Niche Graphs.

In addition to the many technical reports, journal articles, and conference volumes that usually result from a DIMACS special year, DIMACS hopes to produce a volume of papers (many of them expository) by leaders of the field.

DIMACS hopes that, like past DIMACS special years, the year on Mathematical Support for Molecular Biology will influence the directions of the field for many years to come.

Further information about the special year can be obtained from any of the chairs or co-chairs or by sending a message to special@dimacs. rutgers. edu.

News from the Institute for Mathematics

and its Applications University of Minnesota

The Institute for Mathematics and its Applications (IMA) 1993-1994 academic year program is Emerging applications of probability. Major support for this program was provided by the National Science Foundation, with supplementary support from the Air Force Office of Scientific Research, the Army Research Office, the Office of Naval Research, and the National Security Agency. The program coordinators are J. M. Steele (chairman), D. Aldous, P. Diaconis, R. Durrett, and L. Shepp. The year is divided into three parts (corresponding to fall, winter, and spring quarters), although it is expected that there will be considerable fluidity between the various parts.

( 1) Fall: September 9-December 20, 1993, Probability and Computer Science

(2) Winter: January 2-March 31, 1994, two themes: Mathematical Genetics, Queuing Networks

(3) Spring: April 1-June 30, 1994, Probability in Geosystems

Details concerning the winter program can be found in the September Notices.

The first spring program workshop will be on Image Models (and their speech model cousins), May 2-6, 1994, organized by L. Shepp and S. Levinson.

The meeting provides an opportunity for useful interaction between two diverse groups of researchers, apparently nearly unaware of each other's existence, but who are each involved with very similar mathematics despite the difference in the two applications.

One group is involved with developing a relatively recently discovered approach to automatic speech understanding based on the use of hidden Markov models.

The second group is working on restoration and reconstruction of images based on maximum likelihood models. The main areas for applications here are


emission tomography and enhancement of filtered images (Landsat, etc.).

Both groups maximize the likelihood under a probability model (rather different) of the actual speech signal or emission density, given the measured data, as a way to find the true signal.

S. Molchanov and W. Woyczynski are organizing the workshop Stochastic Models in Geosystems, May 16-20, 1994.

The last decade has seen a massive infusion of sophisticated probabilistic and statistical tools in the geosciences, including geophysics, oceanography, and geophysical fluid dynamics, and in atmospheric sciences. The workshop will be devoted to several of the most active topics in this area and in particular will cover: Seismology and Disordered Media (probabilistic models in geophysics) and Oceanographic and Atmospheric Models (modem probabilistic and statistical methods in oceanography and atmospheric sciences).

From May 31-June 3, 1994, there will be a minisymposium on Phase Transitions in Catalytic Surface Reaction Models organized by C. Neuhauser and M. Bramson. The minisymposium will focus on phase transitions for catalytic surface reaction models. This has been a topic of considerable interest in the recent physics literature. The basic model consists of two reactants, carbon monoxide and oxygen, which absorb to a surface, with neighbors of opposite type reacting and desorbing.

The basic model is motivated by the study of the carbon monoxide-oxygen reaction on a single-crystal surface. Although the model leaves out important steps of the actual system, it exhibits much of the steady-state behavior occurring in practice. This reaction is among the most extensively studied heterogeneous catalytic reactions and is important in automobile emission control (such as the designing of catalytic converters), among other applications.

Various generalizations of the basic model are presently being investigated, and the minisymposium will attempt to tie together recent research on this topic.

The last workshop of the program, Classical and Modern Branching Processes, June 13-17, 1994, is being orga-


nized by K. Athreya and P. Jager. The theory of branching processes is

enjoying a renaissance. The workshop will bring together workers in the following areas to exchange information and identify important problems and directions:

1. Branching processes that arise in an unexpected manner in some discrete structures

2. Local times in excursion theory 3. Branching Markov processes 4. Large deviations in branching pro

cesses 5. Statistical inference for branching

processes 6. Genealogy problems in sampling

from branch processes after a long evolution

7. Applications in genetics For more information about IMA

activities see the Meetings and Conferences section of this issue or contact the IMA (ima-staff@ima. umn. edu). Also, weekly IMA seminar schedules with titles and abstracts are available on Usenet: umn.math.dept, and by fingering seminar@ima. umn. edu. 1FX files for the Newsletter and the Update, as well as IMA Preprints, are available via anonymous ftp at ima. umn. edu.

News from the Mathematical Sciences Institute

Cornell University, the University of Puerto Rico,

and SUNY Stony Brook The Army Research Office will support several 1993-1994 postdoctoral fellows at the Mathematical Sciences Institute of Cornell University in the areas of Stochastic Analysis, Symbolic Methods in Algorithmic Mathematics, and the Mathematics of Nonlinear Systems. One position is reserved for women and minority applicants. For application procedures see "Classified Advertisements" elsewhere in this issue or contact D. Drake at MSI, phone: 607-255-8005, fax: 607-255-9003.

The Army Research Office also supports qualified graduate students at Cornell, SUNY Stony Brook, and the University of Puerto Rico through the MSII AASERT program. Contact the graduate advisor in mathematics at these

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············································································-················ ································-------········································ ............................................. ························-················································,·····-··-'< ..

institutions for details or call MSI at the above number.

ANTS-1, the first symposium on Algebra and Number Theory, will meet at Cornell University from May 6-9, 1994. Please note the change from dates previously announced. Contact L. Adleman, adleman@cs. usc. edu, for information.

A conference in honor of E. Dynkin of Cornell University will be held at MSI from May 22-24, 1994. The conference will be organized by R. Getoor from UCSD and H. Kesten from Cornell. For information contact H. Kesten at [email protected].

MSI Director A. Nerode is the program chair for LFCS'94: Logic at St. Petersburg, a symposium on logical foundations of computer science to be held July 14-18, 1994, in St. Petersburg, Russia. Contact V. Marek at [email protected].

A. Nerode of MSI and V. Marek from the University of Kentucky are cogeneral chairs for the 1994 International Symposium on Logic Programming to meet November 13-17, 1994, in Ithaca, New York. For information contact V. Marek at marek@ms . uky. edu.

NSF-CBMS Regional Conferences for 1994

For the past twenty-six years the Conference Board on the Mathematical Sciences (CBMS), with support from the National Science Foundation (NSF), has organized regional research conferences. Contingent upon NSF funding, it is anticipated that five NSF-CBMS

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Regional Research Conferences will be held between January and August of 1994.

Each five-day conference features a distinguished lecturer who delivers ten lectures on a topic of important current research in one sharply focused area of the mathematical sciences. Based upon these lectures, the lecturer subsequently prepares an expository monograph which is normally published as part of a regional conference series. Depending upon the conference topic, the monograph is published by the American Mathematical Society, the Society for Industrial and Applied Mathematics, or jointly by the American Statistical Association and the Institute of Mathematical Statistics.

Support for about thirty participants is provided. The conference organizers invite both established researchers and interested newcomers, including postdoctoral fellows and graduate students.

Information for the anticipated conferences is listed below. For each conference the title of the conference is followed by the main speaker, the location, the date, the names of the organizers, and telephone numbers and e-mail addresses to contact the organizers to get more information. Those interested in attending the conferences should contact the organizers, not CBMS.

Analytical gauge theory, C.H. Taubes, January 5-9, New Mexico State University; organized by R. E. Staffeldt, D. Finston, G. Rogers, and R. Wisner; 505-646-3901; e-mail: ross@nmsu. edu.

Controlled topology and the charac-


terization of manifolds, S.C. Ferry, May 24-28, the University of Tennessee at Knoxville; organized by R. J. Daverman and J. Dydak; 615-974-6577; e-mail: [email protected].

Recent advances in spectral graph theory, F. R. K. Chung, June 6-10, California State University at Fresno; organized by R. M. Najar; 209-278-2462; e-mail: rudolphn@csufresno. edu.

Complex dynamics in higher dimensions, J. E. Fornaess, June 7-11, SUNY at Albany; organized by R. M. Range; 518-442-4602; e-mail: range@ math.albany.edu.

Bayesian methods in finite population sampling theory and applications, M. Ghosh, July 10-14, at the University of Connecticut at Storrs; organized by A. E. G. and D. K. Dey; 203-486-3416 or 203-486-4755; e-mail: [email protected].

Information about the series and guidelines for submitting proposals for future conferences may be obtained by contacting CBMS, 1529 Eighteenth Street, NW, Washington, DC 20036; telephone 202-293-1170.

Erratum The July/August 1993 issue of the Notices carried an announcement that Gerard Ben Arous and Robin Pemantle had received the 1993 Rollo Davidson Prizes. Ben Arous's surname was incorrect in the headline. The headline should have read, "Ben Arous and Pemantle Receive Rollo Davidson Prizes." The Notices regrets the error.

Funding Information

for the Mathematical Sciences

NSF Continues Special Fund for Innovative Projects

Last year the Mathematical and Physical Sciences (MPS) Directorate of the National Science Foundation invited proposals for innovative projects that cut across disciplinary boundaries. In a "Dear Colleague" letter to the scientific community, William C. Harris, head of the MPS directorate, encouraged the community to bring forth "ideas of broad impact that do not fit standard programs either in scope or budget".

During fiscal year 1994 the directorate plans once again to set aside funds to support these kinds of projects. Last year the "opportunity fund", as it has come to be called, supported a proposal from the National Center for Atmospheric Research that brought together statisticians and atmospheric scientists to do modeling and analysis of atmospheric phenomena.

The NSF's Division of Mathematical Sciences (OMS) encourages the mathematical community to consider ways in which the "opportunity fund" could be used to support innovative research utilizing mathematics. Those interested in finding out more about this special fund can contact the relevant OMS program officer (their names, e-mail addresses, and phone numbers are listed in the News and Announcements section of the October issue of the Notices) or contact DMS Director Frederic Wan, 202-357-9669; e-mail: fwan<ansf. gov (Internet) or fwan<Dnsf (Bitnet).

NSF's Advanced Technological Education Program

The purpose of the Advanced Technological Education (ATE) Program of the

National Science Foundation (NSF) is to promote exemplary improvement in advanced technological education at the national and regional levels. The program supports curriculum development and program improvement at the undergraduate and secondary school levels, especially for technicians being educated for the high performace workplace of advanced technologies. Curriculum development encompasses the design and implementation of new curricula, courses, laboratories, and instructional materials. Program improvement encompasses faculty and teacher development, student academic support, and cooperative arrangements among institutions and other partners. ATE is managed by the NSF's Division of Undergraduate Education in cooperation with the Division of Elementary, Secondary, and Informal Education.

ATE will establish Centers of Excellence in Advanced Technological Education to provide systemic approaches to technological education and will also support projects which emphasize systemic activity. In 1994 ATE expects to support planning grants for up to five centers; projects focusing on curriculum development, faculty or teacher enhancement, materials development, or instrumentation and laboratory improvement; and conferences, workshops, symposia, design and planning projects, studies, and other projects that will lead to better understanding of issues in advanced technological education.

Through ATE, NSF is interested in supporting development of science and mathematics courses in both core and advanced technology areas. This is especially important in two-year colleges


because it is expected that all associate degree advanced technological education programs have an appropriate and strong mathematics and science core. Proposals are sought from two-year colleges, four-year colleges, universities, secondary schools, professional societies, and other nonprofit groups.

The closing date for preproposals was November 1, 1993. Formal proposals are due March 22, 1994. For more information contact: Advanced Technology Education, Directorate for Education and Human Resources, National Science Foundation, 4201 Wilson Boulevard, Arlington, VA 22230; the publication number of the program announcement is NSF93-132. You may also order the program announcement by sending e-mail to pubs@nsf . gov (Internet) or pubs@nsf (Bitnet); be sure to include the publication number, your full mailing address, and how many copies you need. The program announcement is also available on STIS, NSF's online information systems. For information about STIS send a message with the text "get stisdirm" in the message to stisserv<Dnsf. gov (Internet) or stisserv@nsf (Bitnet).

NSF Young Investigator Awards The National Science Foundation (NSF) has announced the competition for the NSF Young Investigator Awards (NYI) for 1994. These awards recognize outstanding young faculty in science, mathematics, and engineering and are intended to enhance their careers by providing flexible support for research and educational activities. In addition the program seeks to promote public awareness of the work of academic scien-

1371

tists, mathematicians, and engineers and to foster contact and cooperation with industry and institutions that support research and education.

Approximately 150 new NYI awards will be made in this competition. Awards will be for up to five years based on an annual determination of satisfactory performance and subject to availability of funds. Each award consists of an annual base grant of $25,000 from the NSF plus up to $37,500 of additional funds per year on a dollar-for-dollar matching basis from industrial and notfor-profit sources, resulting in a total annual support of up to $100,000.

Nominations should be made at the departmental level by the chair or analogous administrative official. Nominees must be U.S. citizens, nationals, or permanent residents and have been awarded a doctorate or equivalent degree on or after January 1, 1988, but not later than January 28, 1994. Nominees must have a tenure-track, tenured faculty, or equivalent position at their nominating institution on or beginning before January 28, 1994, but not prior to January 1, 1990.

Those wishing to make nominations

Funding Information

should consult the program announcement for instructions. For further information write to: Young Investigators Awards, National Science Foundation, 4201 Wilson Boulevard, Arlington, VA 22230. The program announcement may also be requested electronically by sending e-mail to pubs@nsf . gov (Internet) or pubs@nsf (Bitnet); request publication number NSF93-148 and be sure to include your full mailing address and to specify how many copies you need. The program announcement is also available on STIS, NSF's online information system. For information about STIS send a message with the text "get stisdirm" in the message to stisserv@nsf. gov (Internet) or stisserv@nsf (Bitnet).

Third World Congress of the Bernoulli Society

The Third World Congress of the Bernoulli Society for Mathematial Statistics and Probability will be held jointly with the 57th Annual Meeting of the Institute for Mathematical Statistics on June 20-25, 1994, in Chapel Hill, North Carolina.

In an effort to encourage participa-

Susan Montgomery Volume 82

tion of junior researchers, the organizing committee for the congress has applied for grant support to partially defray travel and expenses of recent doctorates and graduate students who want to attend the congress. Some very limited financial support may also become available for other needy cases, particularly participants from Eastern Europe. In addition, a "Mentor Program" is being planned to insure interaction of junior researchers with senior colleagues at the meeting.

Requests for support to attend the conference or the associated workshops on probability and stochastic differential equations should be sent to: Congress Organizing Committee, Statistics Department, University of North Carolina. Chapel Hill, NC 27599 (electronic mail: Congress@stat. unc. edu). Inquiries should specify whether meeting or workshop support is requested. An abbreviated vita should be enclosed, and, in the case of a graduate student, a brief recommendation from the thesis advisor should be included. Applications should be received by February 28, 1994. Pre ference will be given to those presenting papers at the Congress or at a workshop.

Work on actions of Hopf algebras has unified earlier results on group actions, actions of Lie algebras, and graded algebras. This book brings together many of these recent developments from the viewpoint of the algebraic structure of Hopf algebras and their actions and coactions. Quantum groups are treated as an important example, rather than as an end in themselves. The two introductory chapters review definitions and basic facts; otherwise, most of the material has not previously been published. Providing an accessible introduction to Hopf algebras, this book is an excellent graduate textbook for a course in Hopf algebras or an introduction to quantum groups.

1372

1991 Mathematics Subject Classification: 16; 17, 20, 14 ISBN 0-8218-0738-2, 238 pages (softcover), October 1993 Individuals $20, List price $34 To order, please specify CBMS/82NA


Society, P.O. Box 5904, Boston, MA 02206-5904, or call toll free 800-321-4AMS (321-4267) in the U.S. and Canada to charge with VISA or MasterCard.

Residents of Canada, please include 7% GST.


1994 AMS Election Nominations by Petition

Vice-President or Member-at-Large One position of vice-president and member of the Council ex officio for a term of three years is to be filled in the election of 1994. The Council intends to nominate at least two candidates, among whom may be candidates nominated by petition as described in the rules and procedures.

Five positions of member-at-large of the Council for a term of three years are to be filled in the same election. The Council intends to nominate at least ten candidates, among whom may be candidates nominated by petition in the manner described in the rules and procedures.

Petitions are presented to the Council, which, according to Section 2 of Article VII of the bylaws, makes the nominations. The Council of23 January 1979 stated the intent of the Council of nominating all persons on whose behalf there were valid petitions.

Prior to presentation to the Council, petitions in support of a candidate for the position of vice-president or of member-atlarge of the Council must have at least fifty valid signatures and must conform to several rules and operational considerations, which are described below.

Editorial Boards Committee Two places on the Editorial Boards Committee will be filled by election. There will be four continuing members of the Editorial Boards Committee.

The President will name at least four candidates for these two places, among whom may be candidates nominated by petition in the manner described in the rules and procedures.

The candidate's assent and petitions bearing at least 100 valid signatures are required for a name to be placed on the ballot. In addition, several other rules and operational considerations, described below, should be followed.

Nominating Committee Three places on the Nominating Committee will be filled by election. There will be six continuing members of the Nominating Committee.

The President will name at least six candidates for these three places, among whom may be candidates nominated by petition in the manner described in the rules and procedures.

The candidate's assent and petitions bearing at least 100 valid signatures are required for a name to be placed on the ballot. In addition, several other rules and operational considerations, described below, should be followed.

Rules and Procedures Use separate copies of the form for each candidate for vicepresident, member-at-large, or member of the Nominating and Editorial Boards Committees.

1. To be considered, petitions must be addressed to Robert M. Fossum, Secretary, P. 0. Box 6248, Providence, Rhode Island 02940, and must arrive by 28 February 1994.

2. The name of the candidate must be given as it appears in the Combined Membership List (CML) . If the name does not appear in the list, as in the case of a new member or by error, it must be as it appears in the mailing lists, for example on the mailing label of the Notices. If the name does not identify the candidate uniquely, append the member code, which may be obtained from the candidate's mailing label or the Providence office.

3. The petition for a single candidate may consist of several sheets each bearing the statement of the petition, including the name of the position, and signatures. The name of the candidate must be exactly the same on all sheets.

4. On the next page is a sample form for petitions. Copies may be obtained from the secretary; however, petitioners may make and use photocopies or reasonable facsimiles.

5. A signature is valid when it is clearly that of the member whose name and address is given in the left-hand column.

6. The signature may be in the style chosen by the signer. However, the printed name and address will be checked against the Combined Membership List and the mailing lists. No attempt will be made to match variants of names with the form of name in the CML. A name neither in the CML nor on the mailing lists is not that of a member. (Example: The name Robert M. Fossum is that of a member. The name R. Fossum appears not to be.)

7. When a petition meeting these various requirements appears, the secretary will ask the candidate to indicate willingness to be included on the ballot. Petitioners can facilitate the procedure by accompanying the petitions with a signed statement from the candidate giving consent.


NOMINATION PETITION FOR 1994 ELECTION

The undersigned members of the American Mathematical Society propose the name of

as a candidate for the position of (check one):

0 Vice-President D Member-at-Large of the Council D Member of the Nominating Committee D Member of the Editorial Boards Committee

of the American Mathematical Society for a term beginning 1 February, 1995.

Name and Address (printed or typed)

Signature

Signature

Signature

Signature

Signature

Signature


CALL FOR SUGGESTIONS

There will be a number of contested seats in the 1994 AMS elections. Your suggestions are wanted by

THE NOMINATING COMMITTEE for vice-president, trustee, and five

members-at -large of the council and by

THE PRESIDENT for three Nominating Committee members and two

Editorial Boards Committee members.

In Addition

THE EDITORIAL BOARDS COMMITTEE requests suggestions for appointments to various editorial boards

of Society publications.

Send your suggestions for any of the above to:

Robert M. Fossum, Secretary American Mathematical Society

Department of Mathematics University of Illinois

1409 West Green Street Urbana, Illinois 61801

e-mail: [email protected]

Are you concerned about ...

./ Federal funding for mathematics?

./ How departments award tenure and promotions?

./ Public perceptions of science and academia?

./ Evaluating teaching effectiveness?

./ Employment issues?

... then be sure to attend these sessions in Cincinnati!

Public policy address by Neal Lane, Director of the National Science Foundation, Thursday, 7:00p.m.

Panel on the JPBM Committee on Professional Recognition and Rewards Final Report, Wednesday, 9:00a.m.

"The Place of Mathematics in National Science and Technology Goals" panel discussion, Wednesday, 2:15p.m.

Discussion of a new report by the Mathematical Sciences Education Board on promoting teaching effectiveness, Friday, 5:15p.m.

"Effective Job Seeking in Today's Market" panel discussion, Wednesday, 2:00p.m.

''What Can Be Done About Employment of Mathematicians in the 90s and Beyond?" panel discussion, Friday, 5:00p.m.

This is a time of changes and challenge for the mathematical sciences community. Come hear about what your colleagues are doing to address some of the critical issues facing the community.

Joint Mathematics Meetings, Cincinnati, Ohio January 12-15, 1994

Joint Mathematics Meetings, Cincinnati, Ohio January 12-15, 1994

Preliminary Program

The preliminary program for the Cincinnati Joint Mathematics Meetings follows. Individuals who registered by November 12 and who so elected will have their badge and the final program mailed to them before the meetings. All other registrants will receive the final program at the meetings. Participants who have not yet registered should read the information in the October and November issues of the Notices and the October issue ofF ocus for further details. The additional information below is to assist those who will register at the meetings and those who registered in advance but elected not to receive their badges and final programs by mail. Sessions which are part of the AMS I OOth Celebration are marked with this symbol

Program Updates

Joint Sessions The panel discussion on Wednesday afternoon titled The place of mathematics in national science and technology goals is now cosponsored by the Science Policy Committees of both AMS and MAA.

The Thursday evening public policy address cosponsored by the Joint Policy Board for Mathematics (JPBM), and the Science Policy Committees of AMS, MAA, and SIAM will be given by Neal Lane, Director of the National Science Foundation.

Friday's panel discussion on What can be done about employment of mathematicians in the 90s and beyond includes Curtis D. Bennett, Bowling Green State University; Steven G. Krantz, Washington University; Donald J. Lewis, University of Michigan; and Richard J. Shaker, chief of the Division of Mathematics Research, National Security Agency, among the panelists.

AMS Sessions >,JOO~-i) Panelists in Saturday's panel discussion on Fu-' ture mathematics meetings: is change desirable?

include Johnny L. Houston, Elizabeth City State University; Andy R. Magid, University of Oklahoma; Catherine S. Roberts, University of Rhode Island; Kenneth A. Ross, University of Oregon, Eugene; and Jean E. Taylor, Rutgers University.

A session sponsored by the Committee on the Profession (M. Salah Baouendi, chair) will feature Avner Friedman, University of Minnesota, Minneapolis, who will speak on Mathematical research in materials science: opportunities

Michael Artin, AMS Retiring Presidential Address

and perspectives on Thursday, from 10:05 a.m. to 10:55 a.m. There will be questions from the floor after the presentation.

AMS Short Course This ,will be held on Monday and Tuesday in the Hyatt Regency Cincinnati.

MAA Sessions David A. Smith, Duke University, will participate in the Wednesday morning panel discussion on Revising the AP calculus syllabus.

John A. Dossey will be unable to participate in the panel discussion on Assessing calculus reform efforts on Saturday afternoon.

Activities of Other Organizations Panelists for the JPBM panel on professional recognition and rewards are Calvin C. Moore, chair of the JPBM Committee on Professional Recognition and Rewards, and Richard H. Herman, chair of JPBM.

DECEMBER 1993, VOLUME 40, NUMBER 10 13n

Meetings

The Mathematical Sciences Education Board (MSEB) is sponsoring a focus group on the "Draft NCTM Assessment Standards", scheduled from 5:15p.m. to 6:30p.m. on Friday. The assessment standards will help determine how schools measure what students are learning in mathematics. The purpose of the meeting, organized by Susan Forman, MSEB, is to gather comments and advice about the standards from members of AMS and MAA, which will then be sent on to the leadership of NCTM. Copies of the standards document (or a summary thereof) will be available at the registration area. Please attend all or part of the session and share your thoughts about this crucial area of school mathematics.

The National Science Foundation's (NSF) invited address on Wednesday afternoon will be given by Frederic Y. M. Wan, division director, Division of Mathematical Sciences at NSF, and is titled Mathematical sciences and federal science policy.

The National Security Agency (NSA) will sponsor a panel discussion on its program for supporting sabbaticals for academic mathematical scientists on Wednesday afternoon from 3:25 p.m. to 4:25p.m. Richard J. Shaker, director of NSA, will be the moderator. Panelists will include current and former participatants in the sabbatical program. They are Ezra Brown, Virginia Polytechnic Institute; Jack Brown, Clemson University; and Kenneth Smith, Central Michigan University.

Jean Bourgain, AMS Colloquium Lectures

Social Events The MAA Teaching Awards Presentations on Friday will be followed by a recital at 5:30p.m. honoring MAA sectional and national teaching awardees. The recital features pieces for

violin and piano, including Sonata in d minor by Brahms; the performers will be Jane Price, violin, and Ruth Price, piano.

Registration at the Meetings Advance and on-site meeting registration fees only partially cover expenses of holding meetings. All mathematicians who wish to attend sessions are expected to register and should be prepared to show the meetings badge, if so requested. Badges are required to obtain discounts at the AMS and MAA Book Sales and to cash a check with the meetings cashier. If advance registrants should arrive too late in the day to pick up their badges, they may show the acknowledgment received from the Mathematics Meetings Service Bureau (MMSB) as proof of registration.

Registration fees: Registration fees may be paid at the meetings in cash, by personal or travelers' check, or by VISA or MasterCard. Canadian checks must be marked for payment in U.S. funds. Letters verifying attendance at the meetings can be obtained from the cashier or at the Registration Assistance section of the Registration Desk.

Participants wishing to attend sessions for one day only may take advantage of a one-day fee which is equal to 55% of the on-site registration fee for either members or nonmembers. These special fees are effective daily, January 12 through 15, and are available at the meetings to both members and nonmembers. These one-day fees are not applicable to librarians; high school teachers; unemployed or emeritus participants; or high school, undergraduate. or graduate students.

Joint Mathematics Meetings Member of AMS, Canadian Mathe-matical Society (CMS), MAA $163

Emeritus Member of AMS, MAA 45 Nonmember 252 Student/Unemployed 45 Librarians/High School Teachers 45 High School Students 5

Joint Mathematics Meetings One Day Member of AMS, CMS, MAA $ 90 Nonmember 138

Employment Register Employer Additional Interviewer (each) Applicant Employer Posting Fee

$175 60 60 50

AMS Short Course Student/Unemployed $ 40 Emeritus Member of AMS, MAA 40 All Other Participants 85

MAA Minicourses (if openings available)

Minicourses #1, 2, 4, 5, 6, 8, 9, 10, 11, 12, 14, 15, 16

Minicourses #3, 7, 13, 17 $ 45

65


Meetings

Ail full-time students currently wor_king _toward a degree or diploma qualify for the student reg1strat10? fees, regardle~s of income. Students are asked to determme whether their status can be described as graduate (working toward a degree beyond the bachelor's), undergraduate (working toward a bachelor's degree), or high school (working toward a high school diploma).

The librarian registration category refers to any librarian who is not a professional mathematician.

The unemployed status refers to any person currently unemployed, actively seeking employment, and not a student. It is not intended to include any person who has voluntarily resigned or retired from his or her latest position.

Persons who qualify for emeritus membership in either the Society or the Association may register at the emeritus member rate. The emeritus status refers to any person who has been a member of the AMS or MAA for twenty years or more and is retired because of age or long-term disability from his or her latest position.

Nonmembers who register in advance or register at the meeting and pay the nonmember fee will receive mailings from AMS and MAA containing information about a special membership offer after these meetings are over.

Participants should check with their tax preparers for applicable deductions for education expenses as they pertain to these meetings.

There is no extra charge for members of the families of registered participants, except that all professional mathematicians who wish to attend sessions must register independently.

Accommodations Participants who did not reserve a room during advance registration but who would like to obtain a room at one of the hotels listed on pages 1046 and 1047 in the October issue of the Notices and pages 34 and 35 of Focus should call the hotels directly after December 22. However, we regret that after that date the MMSB can no longer guarantee availability of rooms or of the special convention rates.

Registration Dates, Times, and Locations

AMS Short Course Outside Ballroom A, Hyatt Regency Hotel

Monday, January 10 11:00 a.m. to 5:00p.m.

Joint Mathematics Meetings and MAA Minicourses (until filled) South Exhibit Hall, Cincinnati Convention Center

Tuesday, January 11 3:00p.m. to 7:00p.m. Wednesday-Friday,

January 12-14 Saturday, January 15

7:30a.m. to 4:00p.m. 7:30 a.m. to 3:00p.m.

Employment Register South Exhibit Hall, Cincinnati Convention Center

Wednesday, January 12 7:30a.m. to 4:00p.m. (registration only)

Thursday, January 13 7:00a.m. to 5:00p.m. (schedule distribution and interviews only)

Friday, January 14 8:15a.m. to 5:00p.m. (interviews only)

Employment Register participants must register and fill out interview request forms on Wednesday, January 12. There will be no registration on Thursday and Friday; only interviews will take place on these days.

Miscellaneous Information Mail: All mail and telegrams for persons attending the Joint Meetings should be addressed as follows: Name of Participant, Joint Mathematics Meetings, Cincinnati Convention Center, 525 Elm St., Cincinnati, OH 45202. Mail and telegrams so addressed will be posted on the Math Meetings Message Board. U.S. mail not picked up will be forwarded after the meetings to the mailing address given on the participant's registration record.

Parking: There is limited, metered street parking around the convention center. There are also several parking garages in the area.

Travel: In January Cincinnati is on Eastern Standard Time. The Cincinnati/Northern Kentucky International Airport is located 12 miles (15 minutes) from downtown Cincinnati, across the Ohio River in northern Kentucky. Jetport Express shuttle vans depart the airport for downtown every half hour between 6:00a.m. and 10:00 p.m. The cost is $10 one way and $13 round trip if you tell them you are attending a convention center event. Taxi fare from the airport to downtown is approximately $21.

Delta and USAir have been selected as the official airlines for this meeting. The following benefits are available exclusively to mathematicians and their families attending the meetings:

On Delta a savings of up to 10% off any published domestic fare (includes U.S., Canada, Bermuda, the Bahamas, Puerto Rico, and the U.S. Virgin Islands), subject to applicable fare restrictions, is available. Seats are limited. Call 1-800-241-6760 between 8:00a.m. and 11:00 p.m. EST to contact Delta directly or call any licensed travel agent. Instruct the ticket agent to refer to file M0456 in order to qualify for the applicable discount.

On USAir you may receive 10% off any published domestic fare with a seven-day advance purchase. Call USAir's Meetings and Convention Reservation Office at 1-800-334-8644 between 8:00 a.m. and 9:00 p.m. EST or call any licensed travel agent and refer to gold file #16950015.

For Amtrak information call 1-800-872-7245. Local mass transit is run by The Metro bus service. For

information call 513-621-4455. The fare is $.60 and up; exact change is required. The Transit Authority of Northern Kentucky (TANK) provides travel between northern Kentucky

DECEMBER 1993. VOLUME 40, NUMBER 10 1379

Meetings

and downtown Cincinnati daily. For information call 606-331-TANK.

Driving directions: Head north on 1-75/71 from Kentucky; when approaching the bridge for Cincinnati, stay in the right lane for 1-71 N to Columbus. The first exit is. Vine Street Exit No. lC (one way N). Take Vine Street exit to Fourth Street (one way W) to Elm Street (one way N) onto Fifth Street (one way E).

Head south on 1-71 from Columbus/Cleveland; when approaching the tunnel stay in the Elm Street/Third Street Exit lane. Take Exit No. lB, Elm Street/Third Street. Tum left on Third and right on Elm Street to Fifth Street.

To Holiday Inn Riverfront, Quality Inn Riverview and the Airport

f---- 1110 Mile

Heading south on 1-75 from Dayton/Toledo, exit on the Fifth Street Exit No. lE (Fifth Street exit to the left). The . convention center sits between the second and third traffic lights on the left.

From the northwest (Indianapolis/Chicago), head east on 1-74 to 1-75 Sand follow the same directions as 1-75 S.

Weather: January weather in Cincinnati is generally cool to cold. Normal daily maximum and minimum temperatures are 37°F (3°C) and 20°F ( -7°C). Average precipitation for January is 2.5" which includes an average of 9" of snow in January.

Terrace Hilton

Omnl Netherland Plaza

- Convention Center Skywalk

Westin Hotel

Cincinnati

All downtown hotels are located within a five minute walk of the Cincinnati Convention Center (CCC). All other hotels are located approximately one mile from the CCC and are not within walking distance. Complimentary shuttle service will be provided to and from these properties.


•Aarts, J. M., 799 Abdalkhani, J., 993 Abdul-Massih, K., 449 Abell, M. L., 555

•Abhyankar, K., 611 Abney, D. H., 944 Abughalous, M. M., 109 Abu-Saymeh, S., 820 Addington, S. L., 248, 576

• Aityen, S. K., 670 Aizicovici, S., 322

•Akbulut, S., 143 Aksoy, A. G., 1037 Alarcon, E., 442 Alarcon, F., 911

• Alexander, D. S., 606 Alexander, M., 852 Alikhani-Koopaei, A., 195

*Allegretto, W., 675 • Alligood, K., 794

Almeida, J. D., 443 Alvis. D., 758 Amba~ht, B. P., 469 Ambasht, J.P., 190 Amgott, S. M., 762 Anastassiou, G., 238

• Andersen, J., 308 Anderson, J. R., 460 Andreev, V. V., 715 Angel, J.P., 845 Anthony, P., 433

*Antonelli, F., 974 • Archibald, T., 506 oArganbright, D. E., 117

Arlinghaus, F. A., 231 ti< Artin, M., 896 * Arveson, W., 960

Ash, J. M., 809 Aspinwall, L., 742 Athanassov, Z. S., 704 Atkinson, D. S., 448

*Attie, 0., 988 Azarian, M. K., 468 Azpeitia, A. G., 97 Bachelis, G. F., 729 Badawi, A. R., 1002

* Baernstein, A., II, 515 Bajaj, P. N., 544

* Bakonyi, M., II *Ball, J. A., 9

Banchoff, T. F., 1044 * Banuelos, R., 663

Barber, F., 559 * Barge, M., 646

Barker, W., 273

Presenters of Papers

Numbers following the names indicate the speakers' positions on the program. o AMS-MAA Invited Lecturer • AMS Invited Lecturer li4 AMS Retiring Presidential Address * MAA Retiring Presidential Address o MAA Invited Lecturer 0 AWM Ernmy Noether Lecturer • NAM NAM Lecturer +NSF Invited Lecturer * AMS Special Session Speaker "JPBM Speaker

* Barker, W. H., 30 Barnes, R., 349 Barshiner, R., 263 Barshinger, R., 900

*Bateman, P. T., 1055 * Baum, P. F., 18 *Baxley, J. V., 127

Beaulieu, P. W., 1026 Beekman, J. A., 472 Belinskiy, B., 720

*Bell, D. R., 662 *Bell, H., 972 * Benedetto, J. J ., 169 o Benkart, G. M., 115 * Bercovici, H., 405 * Berger, M. S., 980

Bernhofen, L. T., 113 * Betz, M.S., 146

Bhatnager, S. C., 547 Bishop, G., 367

* Bizaca, , 683 Blanchard, P. R., 6 Bloom, L. A., 736

*Blum, L., 34 Blumsack, S., 572

* Bobisud, L. E., 374 * Boca, F., 787

Bookman, J., 748 Borek, A., 818 Borrelli, R., 906

• Bourgain, J., 116, 392, 603 Boyadzhiev, K., 709 Boyce, W. E., 554

*Boyer, C. P., 409 *Boyland, P., 355

Bozeman, R., 197 Bradley, C., 858 Bradley, M. E., 314

*Bragg, L. R., 164 Brandt, K. A., 734 Branner, B., 5 Brawner, J. N., 767

* Bricher, S., 801 Bridger, M., 487

* Brislawn, C., 172 Brodie, M.A., 1015 Brooks, R., 233 Brown, A. E., 741

*Brown, L. G., 638 *Brown, M., 180

Brugh, S. L., 235 Brunson, B., 937

* Brussel, E., 159 *Bryant, J. L., 679 *Buchanan, J. L., 163

Buck, R. E., 475 Burkam, D. T., 338

*Byrne, G. D., 664 * Caginalp, G., 673

Callas, D., 1047 Canfell, M. J., 1005

* Carlen, E., 658 Carlson, D. A., 838

* Carroll, C. R., 85 Carroll, T., 925 Case, J. 0., 492

*Casey, S.D., 165 Catepillan, X., 714

* Chadam, J., 531 Chakrabarti, M., 1010 Chandarana, S., 42

oChandrasekhar, S., 602 Chen, C., 999 Chen, C.-N., 317 Chen, C. S., 315 Chen, D., 245 Chen, P. B., 435

*Chen, X., 533 Chen, Y., 91

*Chen, Z. Q., 886 * Chigogidze, A., 971 * Chipman, J. C., 177

Cho, E. C., 439 Christensen, H., 339

* Cinlar, E., 595 Closky, D. T., 912

*Coburn, L.A., 416 *Cole, B. J., 283 * Connolly, F., 891

Connor, J., 37 Conrad, J. F., 942

*Cooke, R., 371 Cooper, C., 1022 Costa, D. G., 462 Coughlin, R., 64

* Craven, T. C., 417 * Crawford, T. A., 410

Crocker, D., 57 Crocker, G. T., 72 Crowe, D. W., 252 Crumpler, D. L., 1000 Cunningham, D., 255 Cunningham, E., 501 Cunningham, R., 213

* Curtis, P. C., Jr., 181 * Dadarlat, M., 23

D'Ambrosia, B., 1001 *D'Ambrosio, U., 507

Daniel, J. W., 479 Dansereau, A. P., 41


Dargahi-Noubary, G. R., 106 Darrow, D. S., 849 Dastrange, N., 839

* Daubechies, I., 379 *Davidson, K. R., 402 *Davidson, M., 142 •Davis,G.M., 171 * Davis, M., 987

Davis, R. B., 738 Davis, S. L., 343 Davis, W., 271 Dawson, B., 1035 Day, J. M., 259 De Alwis, T., 254, 821 Dean, A. M., 727 Dean, S. T., 71 Debnath, J., 40

* Debski, W., 652 Deck, K., 827 Deeba, E. Y., 272

* Demidov, S. S., 372 * Deng, K., 802 *Dengler, H., 976

Denley, T., 730 Devaney, R. L., 1, 7 Dever, M. B., 62

* Diamond, B., 522 *DiBenedetto, E., 672

Didio, R. A., 69 * Ding, H., 139 *Dobrowolski, T., 599

Dolinak, J., II, 48 *Dorrough, D., 875

Dossey, J. A., 568 Douady, A., 3 Dougherty, A. M., 202

*Douglas, R. G., 149 Dow, M. A., 851

* Dranishnikov, A. N., 600 * Drasin, D., 513

Drobot, V., 455 Dubinsky, E., 746

* DuChateau, P., 677 Dudley, D., 945 Dumbaugh, D. J., 779

o Dunham, W. W., 894 * Duren, P., 964 *Duren, W. L., Jr., 882

Duvuru, S., 825 * Dydak, J., 598 * Eason, M., 590

Ebanks, B. R., 230 Ebert, C. L., 856,931

* Edwards, H. M., 607 Effinger, G., 456

1381

Ehme, J ., 695 * Eidenschink, M., 396

Elderkin, R. H., 261 *Elliott, G. A., 508

Emese, G., 747 Ervynck, G., 340 Eslinger, R. C., 345 Evans, B., 761 Exner, G. R., 721

• Falconer, E. Z., 777 Fan, D., 808

* Faraut, J., 15 Farris, M., 914 Faulkenberry, R. E., 98 Feil, D., 229

*Fein, B., 161 Feldman, W., 1030 Feng, W.,320 Fenton, W., 567 Ferdinands, J., 60

*Fernandez-Navas, J., 977 *Ferry, S. C., 989

Fetta, I. B., 101 Filus, J., 205

*Finley, K. S., 952 Fishback, P. E., 429

* Fitzgerald, R. W., 25 * Foias, C., 279 *Ford, C. E., 373

Ford, K. B., 1020 *Forman, S. L., 29

Foskey, M., 55 Foss, D. H., 574 Fox, W.,68 Fox, W. P., 563

*Francis, G., 309 *Fransen, E., 619

Frantz, D. A., 347 Franzblau, D. S., 387, 921

*Fraser, C. G., 604 *Frazier, M., 89

Freudenburg, G., 765 Friedman, A., 390 Fritts, L., 548 Gander, W., 260

*Gangolli, R. A., 178 Gardner, R., Jr., 214

*Gamer, J. B., 376 * Gatica, J ., 125

Gaur, A. K., 1043 Gayle. R., 243

*Gedeon, T., 353 Geisler, L., 713 Geissinger, L., 270

*Geller, W., 351 Gentry, R., 493, 867

*Geoghegan, R., 397 *George, J. H., 528 *Geronimo, J. S., 422

Gevirtz, J ., 324 * Ghamsari, M., 790

Giarrusso, D., 328 *Gilbert, J. E., 286

Gillman, R., 346 * Gindikin, S., 284

Giordano, F. R., 65 * Gladdines, H., 647

Glassbrenner, D., 822 *Glazebrook, J. F., 154

Godbole, A. P., 206 Godbole, K., 865

* Gohberg, 1., 8 * Golland, L. A., 504

1382

Gollwitzer, H., 917 Gompa, V., 96

*Gong, G., 155 *Gonzalez, M. J., 642 *Goodman, F. M., 784

Gordon, F. S., 939 Gordon, S. P., 63, 869 Gorini, C. A., 385, 577

* Goroff, D. L., 425 Gould, R. L., 200 Graham, R. L., 895 Graham, S. W., 578 Graves, D., 897

*Greenleaf, F. P., 32 * Greenspan, D., 871

Greenwell, R. N., 545 * Greer, R., 311

Gregorac, R. J., 437 *Gregory, J., 529

Gries, D., 564 * Grinfeld, P., 949 *Gross, K. I., 408

Growney, J. S., 930 Grundman, H. G., 454

*Gu, C., 280 *Guest, M. A., 356 *Guilbault, C. R., 986

Guodong, S., 211 Gura, K., 938

*Guthrie, R., 610 *Habib, M. K., 671 *Hagopian, C. L., 968

Hai, D. D., 696 *Haile, D., 160 * Haimo, D. T., 773

Hall, J. E., 458 Halmos, P.R., 774

*Hammack, W., 887 Hanes, L. B., 810

*Hardin, D. P., 421 Hare!, G., 753 Harkleroad, L., 903 Harshbarger, R. J., 928 Hart, J. B., 445

* Harten, A., 173 *Hartshorn, K. L., 878

Harvey, J. G., 499 *Haskell, P., 293 *Havlicek, J. W., 411 *Hayes, L. D., 880

Hayslett, H. T., Jr., 102 *Healy, D., 170 *Heath, J., 520 *Heath, P. R., 352 * Heil, C., 86 *Heinonen, J., 640 *Helton, J. W., 136 * Hemasinha, R., 669 *Henderson, J., 129

Henderson, P. B., 566 *Hernandez, G. E., 377 *Herron, I. H., 302 *Hersh, P. L., 617

Higgins, A. W., 486 Hildebrand, M. V., 198

*Hill, D. M., 947 Hill, D. R., 269, 759 Hindman, N., 725 Ho, E., 334 Hobbs, B. F., 935

*Hoffmann, D. W., 27 Hofmann, M., 223 Holdener, J ., 49


Holmes, J.P., 1040 Hopkins, N.C., 687 Hom, M.A., 316

* Horsley, L. R., 622 Hosea, M. E., 990 Housworth, E. A., 215 Hozo, 1., 735 Hsieh, P.-F., 693 Hsiung, C.-C., 78

*Hu, B., 535 Huang, Y. K., 688 Hubbard, E., 857 Hubbard, J. H., 4

*Huber, M., 589 Hudson, T. D., 716 Hudzik, H., 1036

*Hughes, B., 890 Hughes, J. R., 51 Huibregtse, M. E., 770 Hung, H. H., 186 Hunsaker, W., 187

* Hurder, S., 291 • Hurtubise, J. C., 114

Hutchinson, J., 1045 • Hyman, J. M., 496

Ikle, M., 539 * Ingram, W. T., 519

Inman, C. L., 453 Intermont, M., 54 Ionascu, 1., 717 Iovino, J., 364 Iraniparast, N., 318

*Isaksen, D., 612 Isihara, P., 904

* Iwaniec, T., 639 Izzo, A. J ., 103

*Jacob, B., 295 Jacobson, C., 863 Jagadeeshan, S., lOll Jahangiri, M., 216 Jahn,M.A.,365 Jarvis, T. J., 768

* Jawerth, B., 380 * Jenkens, S. W., 954

Jepsen, C. H., 441 *Jessup, B., 354 * Ji, R., 635

Johns, G., 104 *Johnson, C., 10

Johnson, C. R., 750 Johnson, I. D., 932 Johnson, J. A., 488, 760

dohnson, K., 138 Johnson, M., 368 Johnson, M. L., 766

dones, G., 123 *Jorgensen, P. E., 636

Junghenn, H. D., 432 Kaliszewski, S. P., 1038

* Kaminker, J., 294 Kaminska, A., 1033

*Kammeyer, P. C., 780 * Kanapka, J., 948 *Kaplan, A., 632 *Kaplan, W., 628

Kappe, L.-C., 1014 * Karatzas, I., 889

Karls, M. A., 463 * Kamo, Z., 521

Kasturiarachi, A. B., 319 Kasube, H. E., 922

* Kato, H., 795 *Katz, V. J., 505


Kaufman, G., 1042 *Kaufmann, E. R., 124 *Kawamura, K., 523

Kedzierawski, A. W., 210 Keen, L., 2 Keirouz, M., 47 Kellett, J. M., 494

* Kelly, M. R., 84 Kemp, F., 828

*Kennedy, J., 650 Kennedy, R. E., 1023 Kennedy, S. F., 915 Kenney, E., 264, 491

* Keppelmann, E., 395 Khabazian, H., 1006

* Khavinson, D., 166 Kilibarda, V., 227

*Kim, H., 145 Kim, S., 76 King, K. S., 105 Kingan, S. R., 841 Kirtland, J ., 224 Kittappa, R. K., 1018

* Kliemann, W., 593 *Klimek, S., 415

Kline, J., 38 *Klotz, E. A., 307

Knoerr, A. P., 756 Kochavi, J., 902

* Kohatsu-Higa, A., 661 Koker, J., 1007 Kong, P. C., 461

* Koranyi, A., 140 *Koskela, P., 641

Kotler, M., 203 * Kra, 1., 883

Krantz, R., 546 Kreczner, R., 581

*Kreuger, J., 953 * Kreyszig, E. 0., 303

Krop, L., 232 Kugendran, T., 831 Kurepa, A., 898

*Kurtz, T. G., 656 * Kwasik, S., 892 * Lakshmikantham, V., 526

Landry, S. G., 430 "Lane, N., 502

Lang, W. C., 811 Langley, L. J., 848 Lanning, S., 1004

*Lapidus, M. L., 20 *Larson, D. R., 403

LaTorre, D. R., 497 * Lau, K.-S., 87 * Laugesen, R., 516

Lawrence, B. A., 834 Lawrence, D., 59 Lawson, J. K., 329 Lay, D. C., 752

* Lazer, A. C., 398 Lee, C., 335 Lee, R. C., 476

*Lee, S., 660 * Leela, S., 530

Leen, M., 1039 Leibowitz, R., 923 Leiva, M., 571

* Lelek, A., 973 Lengvarszky, Z., 92

*Lenhart, S., 536 Leon, S. J., 253 Leonhardi, S.D., 361

Lepera, T. A .. 919 *Lesniewski, A., 414

Lesser, L., 550 Letarte, A. L., 366

• Leung, Y. J., 966 *Levine, H. A., 800

Levine, L., 446 Levy, B. N., 266 Lewand, R. E., 552 Lewenberg, A. H., 363 Lewin, M., 853

*Lewis, W., 524 •Lewis, W. J., 175

Li, A., 819 * Li, J., 144 •Li, K., 666 * Liebennan, G. M., 532 * Lima-Filho, P., 148 *Lin, H., 509

Lin, S.-M., 936 Lin, T.-C., 722

*Lin, Y., 678 Lipkin. L. J., 569

• Liu, Y., 596 * Locantore, N. W., Jr., 591

Lomen, D. 0., 910 Loper, K. A., 823

*Lorch, L., 885 *Loring, T. A., 510 * Lott, J., !50 o Lovasz, L., 391 *Lovelock, D., 182 • Lucier, B. J ., 381

Lundberg, B. N., 262 Lutgen, J. C., 50 Lyashenko, A. A., 321

•Ma, J., 975 •Ma, W., 967

Mack, R. J., 1016 • Mac Lane, S., 1053 *MacManus, P., 643

Maesumi, M., 812 Mahdavi, K., 584

*Maher, C., 426 Maher, R. J., 582 Maheswaran, T., 464 Malkevitch, J., 384 Manfred, E. J., 246, 918

• Manfredi, J. J., 517 • Mann, B. M., 147

Manoharan, P., 331 * Mantini, L., 137

Marion, W. A., 920 Marlin, J. A., 905

*Marsh, M. M., 654 • Marshall, M. A., 420

Martin, W. 0., 855 Massopust, P. R., 465 Masunaga, D., 549

• May, R. M., 278 *Mayer, J. C., 651

Mayfield, M. E., 763 McAsey, M., 480

• McClanahan, K., 633 • McCord, C. K., 394 *McCoy, P. A., 301

McDaniel, A., 332 McDonnell, J. S., 718 Meaney,C.,436 Medhin, N. G., 835

• Megginson, R. E., 33 Melville, D. J., 1009

* Merkel, J. C., III, 121


Mers, R. C., 561 *Meyer, K., 872

Meyer, W., 382, 1046 Miao, J., 830, 992 Michael, M., 924

*Mickens, R. E., 527 * Mikhalkin, G., 684 *Milgram, R. J., 358

Miller, C., 769 Miller, H. 1., 39 Miller, J. L., 824

*Miller, L., 791 Miller, R. K., 703 Miller, V., 706 Miller, W. D., 95

* Millett, K. C., 179 Milne, S.C., 219 Minassian, D.P., 477

*Mingo, J. A., 634 Minton, R., 916

* Mioduszewski, J., 649 Miranda, K., 854

* Miranker, W. L., 665 Mirza, L., 929

* Mischaikow, K., 119 * Mitrea, M., 167

Mohapatra, R.N., 241 Mohapeloa, K. T., 771 Mohnnann, K. B., 481 Moler, C., 257

o Monk, S. G., 389 Montgomery, P. L., 1024 Mooney, D. D., 193

*Moore, R. E., 870 Moore, R. T., 274 Moorthy, M. V., 44

*Morandi, P. J., !58 Morley, T. D., 907

o Morris, S. B., 778 *Morrow, J. A., 427 *Morton, B., 131 * Moscovici, H., 290

Movahedi-Lankarani, H., 188 Mueller, C. D., 218 Muses, C., 1021 Muthuvel, K., 431 Myers, J. D., 553, 864 Myers, N., 926

*Nadler, S. B., Jr., 655 *Nagy, G., 957 *Narayan, D. A., 585

Nashed, M. Z., 908 * Nashed, M. Z., 304 * Natsume, T., 958

Neal, D. K., 207 Neal, R. S., 348 Nelsen, R. B., 108

*Nest, R., !51 *Neuberger, J. W., 305

Neumann, M. M., 707 Neuwirth, E., 495

*Nevins, T. A., 614 *Newman, R. J., 626 *Nolder, C. A., 792

Northshield, S., 222 Nucci, M., 336

*Nudelman, S. P., 951 Odafe, V. U., 850 Okonkwo, Z. C., 702 Oktac, A., 228 O'Lander, R., 249

*Oliver, D. R., 310 Olson, T., 817

* Oprea,J., 122 *Orr, J. L., 404 * O'Ryan, M., 299 *Osgood, B., 793 o Osgood, B. G., 275 *Osher, S., 378

Otero, D. E., 466 Otto, A., 934

* Oversteegen, L. G., 970 *Oxley, M. E., 676 * Ozbay, H., 133 *Palka, B., 788

Pambuccian, V., 440 Pan,K.,240

* Pao, C. V., 981 Paolucci, A.M., 1012 Pardue, K., 772 Pareek, C. M., 183 Parker, P. E., 79

* Parshall, K., 625 Pavel, M. L., 447

*Pedersen, G. K., 630 *Peller, V. V., 282

Pelosi, M. K., 70 Pepe, M., 268 Perley, D., 933 Perlis, R., 1019

*Peterson, A., 126 Peterson, B. E., 438 Peterson, W. C., 35 Pfaendtner, J., 482

*Phillips, A. V., 31 *Phillips, D., 804 *Phillips, N.C., 631

Piatkiewicz, L., 185 Pierce, P. B., 806 Pilgrim, K. M., 326

* Pimsner, M. V., 782 *Pinsky, M., 17, 657

Pinzon, L. E., 613 *Pitcher, E., 623

Polaski, T. W., 500 Polking, J. C., 560 Polli, A., 901

• Pomerance, C., 592 Porter, A. D., 751 Porter, K. F., 192 Postner, M. H., 755

*Powers, R. T., 783 * Powers, V., 418 * Prajs, J. R., 797 * Prassidis, S., 681

Preston, A., 941 *Price, G., 959 *Price, G. B., 624

Price, J. J., 775 Proctor, T. G., 909 Prothero, S., 764

* Protter, P., 659 Przybylski, J., 868

*Putnam, 1., 21 Putnick, L., 557 Puttaswamy, T. K., 694 Putz, J., 551 Qazi, F. S., 201 Quenell, G., 333

*Quigg, J. C., 511 Rajpal, S., 724 Ramachandran, K. M., 837 Ramanathan, J., 814

* Rarivoson, A. H., 120 Ratliff, T., 56


Ray, T. R., 542 Razzaghi, M., lll, 833

* Rees, P. K., 629 *Reid, C., 605 *Reineck, J. F., 83

Reynolds, B. E., 866 Reynolds, J. J., 478

*Reznick, B., 24 o Ribet, K. A., 276 *Richards, D. S., 288

Richardson, G., 110 * Rieffel, M.A., 413

Ries, H., 234 Robbins, D. A., 1031 Roberts, C., 80

*Roberts, C. A., 803 Roberts, L. F., 256

* Rodman, L., 135 *Rogers, J. T., Jr., 648 *Rohde, S., 963 * Rordam, M., 512 *Rosenberg, J., 289

von Rosenberg, P. C., 184 *Rosenstein, J. G., 313

Rosenthal, B., 61 *Ross, K. A., 1056 *Rossi, J. F., 514 * Rotea, M. A., 134 * Ruan, Z.-J., 955 * Rudd, M. B., 587 *Rudie, K., 132

Rulla, J ., 459 Rummel, S., 583

*Rundell, W., 534 *Ryan, J., 168 *Sally, P. J., Jr., 13

Salmassi, M., 221 * Sambandham, M., 668

Sandifer, C. E., 73 Sarmah, P., 997 Sasser, J., 342 Sastri, C. C., 323 Sastry, T. V., 689 Sathananthan, S., 701 Sawyer, J. E., 575 Sayyar, H., 816 Scavo, T. R., 996

* Schaaf, R., 399 Schaal, D., 723

*Schacher, M., 162 * Schafer, A. T., 884

Schaufele, C., I 051 Scheaffer, R. L., 1049 Scheftic, C., 267

* Schinner, H., 118 Schoen, A. H., 444 Schroeder, K. J., 350

*Schumann, S., 798 Schwartz, P. 0., 194

* Schwennicke, R., 296 Scott, C., 330

*Seabold, D .. 879 *Seldomridge, G. A., 969

Sellers, J. A., 452 Selvavel, K., I 07 Servatius, B., 386 Sesay, T. W., 434

* Sethuraman, B. A., !56 * Sety, J. A., 608 *Sexauer, E. A., 618

Sha, H., 538 *Shabazz, A. A., 312

Shadabi, L., 712

1383

Shafii-Mousavi, M., 580 Shah, M. J., 220

*Shaker, A. W., 401 * Shallit, J., 503

Shama, U. Y., 541 *Shampine, L. F., 525 * Sharifi, R., 876 * Shaw, F., 680

Shaw, K. L.. 743 Sheckels, M. P., 927 Shen, X., 99 Shenk,A.,998

* Sheu, A. J., 786 Shi, Y., 995 Shick, J., 829 Shields, S., 52

* Shivaji, R., 128 Shlapentokh, A., 362

* Shreve, S. E., 979 0 Sibner, L. M., 370

Siddoway, M., 337 Sierra, S. J., 621 Silverberg, J. S., 341

* Simpson, T., 285 Singh, A. K., 537 Singh, B., 698 Singh, D., 708 Singh, K. D., 74

* Sivasundaram, S., 667 Skoug, D. L., 204 Smart, J., 383 Smith, A., 862 Smith, D. A., 265

*Smith, E., 874 Smith, G., 726

*Smith, R., 956 Smith, R. S., 67 Snell, J. L., 1050 Snow, D. R., 732 So, S. S., 191

* Soderborg, N., 961 Somers, K., 940

* Sowers, R. B., 888 Spencer, D. E., 540

* Spencer, P. H., 357 *Spielberg, J., 22

Spitznagel, E. L., 558 Spurr, M. J., 327 Spurrier, J.D., 1048 Sridharrna, S., 325 Stahl, N., 484

* Stakgold, 1., 674 * Stanke, R. J ., 287

Stankus, M., 719 Stanley, S. S., 244

*Stanton, R. J., 407 * Starbird, M., 176

1384


* Stark, C. W., 985 *Stein, E. M., 141

Steinlage, R. C., 196 * Stephenson, K., 962

Stevens, T. C., 189 * Stockbridge, R. H., 594

Stojkovic, V., 450 Strang, G., 498

• Strang, G., 601 Strobel, K. H., 705

* Struik, D. J., 627 Strus, J. M., 239 Stuart, D., 1027

*Stubblefield, B., 1054 * Sujatha, R., 297

Sullivan, P., 66 * Sunley, R. A .. 616

Swallow, J. R., 826 Swaminathan, S., 1032 Swenson, C., 943 Swift, R. J., 199 Synowiec, J. A., 470

*Taliaferro, S. D., 400 Tang, G., 836 Tangedal, B. A., 1025

*Tannenbaum, A., 130 Tannouri, A. E., 467,483 Tannouri, S., 250,451 Tanovic-Miller, N., 815

*Tao, D., 157 *Tattersall, J. J., 781 *Taylor, E. J., 609 * Teleman, N., 19

Teles, E., 1052 Terrell, M., 247 Thomas, A. D., 217

* Thomas, 0., 26 Thron, C., 859, 1041 Thurber, J. J., 360

* Thurman, R., 965 * Thurston, P., 984

Tiffany, P., 860 *Ton-That, T., 14

Torrence, B. F., 843 *Totaro, B., 359

Tovbis, A., 697 Towghi, N., 208

* Transue, W. R., 796 Treanor, M. T., 344

* Treil, S., 281 Trimble, C. E., 457 Tripathi, A., 1017 Trout, C. R., 737 Trowell, S. D., 740 Tselnik, D. S., 43 Tsutsui, H., 1003 Tucker, A. C., 776

Tuckey, C., 471 Tudor, D., 543

•Turner, J. C., Jr., 881 Tyler, S.M., 1029

* Tymchatyn, E. D., 653 Umble, R. N., 1013 Vaish, A. K., ll2 Vajaravelu, K., 690

* Vajiac, B., 893 * Vakalis, 1., 873

Vallin, R. W., 485 *Vanden Eynden, J., 950 * VanDerkam, J. M., 588

Van Aeet, P. J., 45 Van Wamelen, P. B., 1028 Vatsala, A. S., 691 Velasquez, E., 847 Vella, D. C., 733 Velleman, D. J., 565

*Venema, G. A., 685 Verma, S., 832 Vidakovic, D. D., 745

* Villamor, E., 518 * Volberg, A., 645 *Wadsworth, A. R., 28 *Wailes, E. F., 877 *Wallach, N., 406 *Walnut, D. F., 424

Walsh, D.P., 731 Walsh, J., 861

*Walsh, J. A., 81 *Walter, G. G., 88, 306 *Walter, L., 419 t Wan, Y. M., 277 *Wang, L., 805

Wang, T., 490, 700 *Wang, X., 637

Wang, Y., 473 Wangler, T. G., 913 Wantland, E. B., 844

*Ward, J.D., 423 *Ward, L., 644 *Ware, R., 300

Warren, R. H., 728 *Wattenberg, F., 428

Weaver, J. R., 258 Webber, R. P., 58

*Weinberger, S., 682 Weiner, M.D., 1008

*Weintraub, S. H., 412 *Weiss, G., 174

West, B. H., 556 *West, J. E., 597

West, R. D., 562, 739 White, J. E., 388 Whiteley, W., 251

* Wickerhauser, M. V., 90


Wicks, J. R., 757 Wiesner, J., 53 Wildsmith, A., 93

*Williams, F. L., 16 Williams, G., 754

• Williams, R. J., 393 *Wills, S. L., 982

Wimbish, G. J., 744 Winkel, B. J., 489

* Winn, R., 586 Witt, A., 991

···········~·····--1_

* Woerdeman, H. J., 12 Wojciechowski, K. P., 153

*Wong, P., 82 Wood, J. A., 899

*Wright, D. G., 686 Wu, C. C., 209

*WU, F., 152 Wu, H.-d., 842 Wu, P. Y., 710 Wu,Q., 100 Wyman, B. F., 474 Xie, F., 692 Xie, S., 36 Xu, C., 236 Xu,D.,699

* Yamagami, S., 785 Yang, C.-C., 212 Yang, N., 242

*Yang, S., 789 Yang, T.-Y., 846 Yang, W.-C., 807 Yang, Y., 994 Yanik, E., 570 Yao, X., 7ll Yau, T., 579

*Yeomans, C., 298 Yerushalmy, M., 749

*Yin, H.-M., 983 *Yin, K.-c., 375

Yiparaki, 0., 369 Young, G. S., 573 Yousif, M. F., 237 Youvaraj, G. P., 813

*Yu,G.,292 Zack, M. R., 225

*Zaldivar, E .. 620 * Zarikian, V., 615 * Zariphopoulou, T., 978

Zerger, J. T., 226 Zhang, C.,46 Zhang, C.-Q., 840 Zhang, H., 94 Zhou,G., 77 Zhou,J., 75

*Ziebarth, J., 946 Zimmer, G. B., 1034

Program of the Sessions

The time limit for each contributed paper in the sessions is ten minutes. In the special sessions, the time limit varies from session to session and within sessions. To maintain the schedule, time limits will be strictly enforced.

Abstracts of papers presented in the sessions at this meeting will be found in the December 1993 issue of Abstracts of papers presented to the American Mathematical Society, ordered according to the numbers in parentheses following the listings below.

For papers with more than one author, an asterisk follows the name of the author who plans to present the paper at the meeting.

Monday, January 10

AMS Short Course

1 :00 p.m.-5:00 p.m.

1:00 p.m. Overview of quadratic dynamics. (1) Robert L. Devaney, Boston University

2:00 p.m. Julia sets. (2) Linda Keen, Herbert H. Lehman College, City

University of New York

3:45 p.m. The parabolic implosion. (3) Adrian Douady, Universite de Paris, Sud, France

Tuesday, January 11

MAA Board of Governors

8:30 a.m.-4:00 p.m.

AMS Short Course

9:00 a.m.-5:00 p.m.

9:00 a.m. The spider algorithm. (4) John Hamal Hubbard, Cornell University, Ithaca

10:45 a.m. The dynamics of complex cubic polynomials with (5) disconnected Julia sets.

Bodll Branner, Technical University of Denmark

2:00 p.m. The dynamics of Newton's method. (6) Paul R. Blanchard, Boston University

3:45 p.m. Dynamics of entire functions. (7) Robert L. Devaney, Boston University

AWM Workshop

9:00 a.m.-5:00 p.m.

AMS Council

1:00 p.m.-10:00 p.m.

Wednesday, January 12

AMS-MAA Special Session on Mathematics and Education Reform, I

8:00 a.m.-10:50 a.m.

8:00 a.m. Promoting faculty growth in teaching and scholarship. (8) Susan L. Forman, Mathematical Sciences Education

Board, Washington, D.C. (889-98-583) 8:30 a.m. Full-scale calculus reform and common sense.

(9) Preliminary report. William H. Barker, Bowdoin College (889-98-715)

9:00 a.m. Calculus reform at Stony Brook. (10) Anthony V. Phillips, State University of New York,

Stony Brook (889-98-515) 9:30 a.m. Mathematics in a large-scale science core curriculum

(11) (NYU). Preliminary report. Frederick P. Greenleaf, Courant Institute of Mathematical Sciences, New York University (889-98-475)

10:00 a.m. Precalculus and calculus reform and Native (12) Americans.

Robert E. Megginson, University of Michigan, Ann Arbor (889-98-437)

10:30 a.m. MSRI, an emissary for mathematics. (13) Lenore Blum, MSRI, Berkeley (889-98-534)

AMS Special Session on Operator Theory, Nonself Adjoint Operator Algebras, and Control Theory, I

8:00 a.m.-10:50 a.m.

8:10a.m. The state space method in interpolation problems. (14) J. A. Ball, Virginia Polytech Institute & State

University, I. Gohberg*, Tel Aviv University, Israel, M. A. Kaashoek, Vrije University, Netherlands, and L. Rodman, College of William & Mary (889-47-19)



Wednesday, January 12 (cont'd)

9:00 a.m. Hx -control theory and generalized Nevanlinna-Pick (15) interpolation.

Joseph A. Ball, Virginia Polytechnic Institute and State University (889-93-66)

9:30 a.m. Rank decomposition under combinatorial constraints. (16) Charles Johnson, College of William and Mary

(889-15-92)

10:00 a.m. Extensions of positive Fredholm kernels. (17) Mihaly Bakonyi*, Georgia State University, and Hugo

J. Woerdeman, College of William and Mary (889-47-727)

10:30 a.m. Maximum entropy and joint norm bounds for operator (18) extensions.

Mihaly Bakonyi, Georgia State University, Victor G. Kaftal, Gary Weiss, University of Cincinnati, and Hugo J. Woerdeman*, College of William and Mary (889-47-37)

AMS Special Session on Representation Theory and Harmonic Analysis, I

8:00 a.m.-10:50 a.m.

8:00 a.m. Classifying the dual of reductive p-adic groups. (19) Paul J. Sally, Jr., University of Chicago (889-22-743)

8:35 a.m. Dual representations and invariant theory. (20) Tuong Ton-That, University of Iowa (889-43-293)

9:10a.m. Causal symmetric spaces and generalized Legendre (21) functions.

Jacques Faraut, University Pierre et Marie Curie, Paris, France (889-43-413)

9:45 a.m. Certain automorphic forms and Dedekind sums for (22) Heeke subgroups. Preliminary report.

Floyd L. Williams, University of Massachusetts, Amherst (889-43-381)

10:20 a.m. Pointwise Fourier inversion and related eigenfunction (23) expansions.

Mark Pinsky, Northwestern University (889-42-15)

AMS Special Session on Geometric Applications of Operator Algebras and Index Theory, I

8:00 a.m.-10:50 a.m.

8:00 a.m. Cosheaf homology and K homology. (24) Paul F. Baum, Pennsylvania State University,

University Park (889-19-204)

8:30 a.m. The £-character of quasi conformal manifolds. (25) Preliminary report.

Nicolae Teleman, State University of New York, Stony Brook (889-58-324)

9:00 a.m. Analysis on fractals, noncommutative geometry, (26) Laplacians on self-similar sets and spectral geometry.

Michel L. Lapidus, University of California, Riverside (889-58-1 06)

9:30 a.m. Duality for C* -algebras arising from hyperbolic (27) dynamics. Preliminary report.

Jerome Kaminker, Indiana University-Purdue University, Indianapolis, and lan Putnam•, University of Victoria (889-46-742)

10:00 a.m. Dynamics of fuchsian groups and C*-algebras. (28) Preliminary report.

Jack Spielberg, Arizona State University (889-46-286)

10:30 a.m. Invariants of C*-algebras. (29) Marius Dadarlat, Purdue University, West Lafayette

(889-46-205)

AMS Special Session on Quadratic Forms and Division Algebras, I

8:00 a.m.-10:40 a.m.

8:00a.m. Uniform denominators in Hilbert's 17th problem. (30) Bruce Reznick, University of Illinois,

Urbana-Champaign (889-11-70)

8:30 a.m. Ext-algebras and abstract Witt rings. (31) Robert W. Fitzgerald, Southern Illinois University,

Carbondale (889-11-69)

9:00 a.m. A local-global theorem for Skew-Hermitian forms over (32) quatemion algebras.

Owen Thomas, Ohio Dominican College (889-15-246)

9:30 a.m. Embedding of quadratic forms into Pfister forms. (33) Detlev W. Hoffmann, Institute for Experimental

Mathematics, Germany (889-11-298)

10:00 a.m. Index reduction formulas for twisted homogeneous (34) varieties. Preliminary report.

A. S. Merkurjev, St Petersburg State University, Russia, I. A. Panin, Steklov Mathematical Institute, Russia, and A. R. Wadsworth*, University of California at San Diego, La Jolla (889-16-93)

MAA Minicourse #1: Part A

8:00 a.m.-10:00 a.m.

Organizing an undergraduate research program. Robert 0. Robson, Oregon State University, and Joseph A. Gallian, University of Minnesota, Duluth


8:00 a.m.-10:00 a.m.

Inverse problems in the undergraduate classroom. Charles W. Groetsch, University of Cincinnati, and Zuhair Nashed, University of Delaware


8:00 a.m.-10:00 a.m.

The Joy of Mathematics: a point-and-click way to use and leam Mathematics. Alan H. Shuchat and Frederic W. Shultz, Wellesley College


························•········•·• ············································---------------Program of the Sessions


8:00 a.m.-10:00 a.m.

How to make effective use of inexpensive pocket computers to develop the concepts and techniques of calculus. Franklin D. Demana and Bert K. Waits, Ohio State University

AMS Session on Difference and Integral Equations

8:00 a.m.-10:55 a.m.

8:00 a.m. A re-look at oscillation points of a difference (35) equation. Preliminary report.

William C. Peterson, North Carolina State University (889-39-334)

8:15a.m. On a distributional equation in information (36) theory.

Elias Deeba, University of Houston, Downtown, E. L. Koh, University of Regina, and Shlshen Xle*, University of Houston-Downtown (889-39-469)

8:30 a.m. Equivalence of bounded strong integral (37) summability methods.

J. Connor*, W. Just and M. A. Swardson, Ohio University, Athens (889-40-495)

8:45 a.m. Statistical limit points and {3N IN. Preliminary (38) report.

J. Connor, Ohio University, Athens, and J. Kline*, Ohio University, Chillicothe (889-40-460)

9:00 a.m. A measure theoretical subsequence (39) characterization of statistical convergence.

Harry I. Miller, University of Michigan, Ann Arbor (889-40-600)

9:15a.m. Theory of association for solving nonlinear (40) equations.

Joyati Debnath, Winona State University (889-44-527)

9:30a.m. Multipliers of Cauchy-Stieltjes type transforms. (41) Andrew P. Dansereau, Daemen College

(889-44-572)

9:45 a.m. lJ' bounds for hypersingular integrals along (42) curves.

Sharad Chandarana, University of Wisconsin, Madison (889-44-700)

10:00 a.m. A series solution for Fredholm integral equation (43) of the second kind with symmetric kernel.

D. S. Tselnlk, Fargo, North Dakota (889-45-414)

10:15 a.m. Periodic boundary value problems for second (44) order impulsive integra-differential equations of

Volteffa type. M. V. Moorthy*, Ohio Dominican College, and S. Sathananthan, Tennessee State University (889-45-604)

1 0:30 a.m. An iterative scheme for solving k-linear integral (45) equations using wavelets. Preliminary report.

David Ruch and Patrick J. Van Fleet*, Sam Houston State University (889-45-737)

1 0:45 a.m. Vector-valued means and their applications in (46) some vector-valued function spaces.

Chuanyl Zhang, University of British Columbia (889-43-77)

AMS Session on K-Theory, Algebraic and Geometric Topology

8:00 a.m.-10:10 a.m.

8:00 a.m. Index realization, electrostatics, and the (47) 1/yeff-Sendov conjecture. Preliminary report.

Malhab Kelrouz, University of Puerto Rico, Humacao College (889-55-424)

8:15a.m. Homotopy operations in Tate cohomology. (48) Joseph Dollnak, II, University of Wisconsin,

Madison (889-20-694)

8:30 a.m. Automorphisms and symbols in K -theory. (49) Judy Holdener, University of Illinois,


8:45 a.m. Asymptotic behavior of the Andreotti invariant of (50) lens spaces.

Jeffrey C. Lutgen, Saint Mary's College, Moraga, California (889-57-624)

9:00 a.m. Finding link-homotopy classes not distinguished (51) by peripheral structures.

James R. Hughes, Haverford College (889-57-625)

9:15a.m. An equivalence relation for codimension one (52) foliations of 3-manifolds.

Sandra Shields, College of Charleston (889-57 -755)

9:30 a.m. Boundedly controlled finiteness obstruction. (53) Jill Wiesner, Syracuse University (889-55-690)

(Sponsored by Douglas R. Anderson)

9:45 a.m. An equivariant Van Kampen spectral sequence. (54) Michele Intermont, University of Notre Dame

(889-55-508)

10:00 a.m. Cup products and higher-order Steenrod (55) operations in the cohomology of higher

projective planes. Mark Foskey, University of California at San Diego, La Jolla (889-55-691)

MAA Session on Favorite Nontraditional Calculus Assignments or Projects, I

8:00 a.m.-10:40 a.m.

8:00 a.m. A lab/paper to introduce limits early in calculus (56) A.

Thomas Ratliff, Kenyon College (889-00-1061)

8:15a.m. Where do those displacement versus time (57) examples come from?

Deborah Crocker, Miami University (889-00-1052)

8:30 a.m. Finding nonobvious critical points. (58) Robert P. Webber, Longwood College

(889-00-1 067)

8:45 a.m. The paper cup solution. (59) Deborah Lawrence, Clarion University of

Pennsylvania (889-00-1 060)

9:00 a.m. Investigating the range of a mortar shell using (60) Mathematics.

Daryl Brink and John Ferdinanda*, Calvin College (889-00-1054)



Wednesday, January 12 (cont'd) MAA Committee on Participation of Women in Mathematics Panel Discussion

1388

9:15a.m. Discovering and experiencing the fundamental (61) theorem of calculus.

Bill Rosenthal, Michigan State University (889-00-1 062)

9:30 a.m. Calculus and credit cards. (62) Mary Beth Dever, Illinois Benedictine College

(889-00-1 053)

9:45 a.m. Individualized projects for calculus based on (63) students' "Social Security Polynomials".

Sheldon P. Gordon, Suffolk Community College (889-00-1 056)

10:00 a.m. A dynamic group assignment. (64) Raymond Coughlin, Temple University

(889-00-1051)

10:15 a.m. Undergraduate lively applications projects. (65) Frank R. Giordano, West Point Academy

(889-0Q-1 055)

10:30 a.m. Vector functions and field goals. (66) Patrick Sullivan, Valparaiso University

(889-00-1064)

MAA Session on Teaching Mathematics With a Spreadsheet, I

8:00 a.m.-10:50 a.m.

8:00 a.m. Spreadsheet applications in precalculus and (67) calculus.

Robert S. Smith, Miami University (889-00-1219)

8:25 a.m. Teaching nonlinear optimization techniques with (68) a spreadsheet.

William Fox, United States Military Academy (889-00-1211)

8:50 a.m. Training your spreadsheet: Neural nets for the (69) undergraduate classroom.

Richard A. Didio* and Cathy H. Bolton, LaSalle University (889-00-1210)

9:15a.m. Doing statistics with a spreadsheet. (70) Marilyn K. Pelosi*, Western New England

College, and Theresa M. Sandifer, Southern Connecticut State University, New Haven (889-00-1216)

9:40 a.m. Using spreadsheet in a general education math (71) course.

Susan T. Dean• and George T. Crocker, Samford University (889-00-1209)

10:05 a.m. Spreadsheet exercises in numerical linear (72) algebra.

George T. Crocker* and Susan T. Dean, Samford University (889-00-1208)

10:30 a.m. Spy math: Cryptography with a spreadsheet. (73) C. Edward Sandifer, Western Connecticut

State University (889-00-1217)

8:00 a.m.-9:20 a.m.

Changing the culture-making your department inviting to women.

Moderator: Carole B. Lacampagne, U.S. Department of Education

AMS Session on Differential Geometry

8:15 a.m.-9:55a.m.

8:15a.m. Almost semi-invariant submanifolds of an (74) c:-framed manifold.

Mukut Mani Tripathi, Lucknow University, Lucknow, India, and Kamla D. Singh*, University of North Dakota, Grand Forks (889-53-350) (Sponsored by Bruce G. Dearden)

8:30 a.m. Sufficient conditions for one domain to enclose (75) another in the plane of constant curvature.

Preliminary report. Jiazu Zhou, Temple University, Philadelphia (889-53-65)

8:45 a.m. Scalar curvature on noncompact complete (76) Riemannian manifolds (Yamabe problem).

Seongtag Kim, University of Illinois, Urbana-Champaign (889-53-114)

9:00 a.m. Closed isospectral Riemannian manifolds with (n) u -bounded curvatures.

Gengqiang Zhou, Cornell University, Ithaca (889-53-278)

9:15a.m. Some conditions for complex structure, II. (78) Chuan-Chlh Hsiung, Lehigh University

(889-53-336)

9:30 a.m. Pseudoriemannian 2-step nilpotent Lie groups. (79) Preliminary report.

Luis A. Cordero, University of Santiago, Spain, and Phillip E. Parker•, Wichita State University (889-53-750)

9:45 a.m. The projective connections of T. Y. Thomas and (80) J.H.C. Whitehead applied to invariant

connections. Craig Roberts, Saint Louis University, St. Louis (889-53-309)

AMS Special Session on Algebraic Topology and Dynamical Systems, I

8:30 a.m.-10:50 a.m.

8:30 a.m. Directions for structurally stable flows on (81) compact surfaces via rotation vectors.

James A. Walsh, Oberlin College (889-58-08)

9:00 a.m. Periodic points on nilmanifolds. Preliminary (82) report.

Peter Wong, Bates College (889-55-280)


--- Program of the Sessions

9:30a.m. Singular index pairs. (83) Marion Mrozek, Jagiellonian University, Poland,

Konstantin Mischalkow, Georgia Institute of Technology, and James F. Reineck*, State University of New York, Buffalo (889-58-535)

10:00 a.m. An algorithm for computing Nielsen numbers of (84) surface automorphisms.

Michael R. Kelly, Loyola University (889-55-347)

10:30 a.m. Induced homomorphisms on homology and (85) continued fraction algorithms.

C. R. Carroll, University of Paris-Sud, France (889-58-656)

AMS Special Session on Wavelets and Their Applications, I

8:30 a.m.-10:50 a.m.

8:30 a.m. Singular-value decay of Wey/ operators. (86) Preliminary report.

Christopher Heil*, Georgia Institute of Technology, Jay Ramanthan, Eastern Michigan University, and Pankaj N. Toplwala, The MITRE Corporation, Bedford, Massachusetts (889-42-559)

9:00 a.m. On the LP -solutions of the two scalar dilation (87) equations.

Ka-Sing Lau*, Mang Fai Ma and Jlanrong Wang, University of Pittsburgh, Pittsburgh (889-42-345)

9:30 a.m. Gibbs' phenomenon in wavelet expansions and (88) what to do about it. Preliminary report.

G. G. Walter* and H.-T. Shim, University of Wisconsin, Milwaukee (889-40-260)

10:00 a.m. Littlewood-Paley theory and wavelets in polar (89) coordinates.

Jay Epperson, University of New Mexico, and Michael Frazier*, Michigan State University (889-41-190)

10:30 a.m. Smooth localized orthonormal bases. (90) Mladen Victor Wickerhauser, Washington

University (889-42-795)

AMS Session on Lattices, Algebras, and Matrix Functions

8:30 a.m.-10:55 a.m.

8:30 a.m. Archimedean closed lattice-ordered groups. (91) Yuanqian Chen, Central Connecticut State


8:45 a.m. Strongly independent subsets in lattices. (92) Zsolt Lengvarszky, University of South

Carolina, Columbia (889-06-761)

9:00a.m. Finite semilattices whose non-invertible (93) endomorphisms are products of idempotents.

M. E. Adams, State University of New York, College at New Paltz, Sydney Bulman-Fieming, Wilfrid Laurier University, Matthew Gould and Amy Wildsmith*, Vanderbilt University (889-06-376)

9:15a.m. Scott open interior maps on posets. Preliminary (94) report.

Han Zhang, Vanderbilt University (889-06-329) 9:30a.m. Quasi-Heyting algebras (QHAs). Preliminary

(95) report. William David Miller, Louisiana Tech University (889-06-468)

9:45 a.m. Essentially algebraic functors and topological (96) algebras.

Vljaya Gompa, Ball State University (889-18-240)

10:00 a.m. Distance between flats in Hilbert space. (97) Preliminary report.

Alfonso G. Azpeitia* and Seymour Kass, University of Massachusetts, Boston (889-15-244)

10:15 a.m. Sets of analytic and discrete spectral data for (98) nonsquare rational matrix functions. Preliminary

report. Richard E. Faulkenberry, University of Massachusetts, Dartmouth (889-15-464)

10:30 a.m. Classification of the Comtrans algebras of low (99) dimensionalities. Preliminary report.

Xiaorong Shen, John Carroll University (889-15-636)

10:45 a.m. The Clifford homogeneous Lipschitz space and (1 00) Besov space estimate.

Qun Wu, University of South Carolina, Columbia (889-43-749)

MAA Session on Environmental Mathematics, I

8:30 a.m.-10:40 a.m.

8:30 a.m. Introduction, Ben Fusaro 8:40 a.m. A look at the mathematics in Clive Cuss/er's

(101) novel Sahara. Iris Brann Fetta, Clemson University (889-00-1 041)

9:05 a.m. Applications of calculus in biological and (1 02) ecological periodicals.

H. T. Hayslett, Jr., Colby College (889-00-1 042)

9:30 a.m. Gas mileage: An application of linear algebra. (103) Alexander J. lzzo, Brown University

(889-00-1 043)

9:55 a.m. Analyzing contaminants in Saginaw Bay (Lake (104) Huron).

Garry Johns* and Eva Toth, Saginaw Valley State University (889-00-1044)

10:20 a.m. The mathematics of becoming a superfund (105) site--The hazard ranking system.

Kay Strain King, Theta Technologies Incorporated, Tennessee (889-00-1045)

AMS Session on Statistics

9:00 a.m.-1 0:55 a.m.

9:00 a.m. A method for estimation of ultimate records for (106) athletic events.

G. R. Dargahi-Noubary, Bloomsburg University of Pennsylvania (889-60-239)


-·-·-·-----·----··-········-·······-···-----·-·-·----·--·---·---·-··--- ................................................................................................. ________ ... _____ ........................................................................................................................................... ..


Wednesday, January 12 (cont'd) MAA CUPM Subcommittee on Service Courses Panel Discussion

1390

9:15a.m. Moments of order statistics from truncation (1 07) parameter families.

Kandasamy Selvavel, Claflin College (889-62-05)

9:30 a.m. Concepts of bivariate symmetry. (1 08) Roger B. Nelsen, Lewis & Clark College

(889-62-06)

9:45 a.m. Inferences about two-phase regressions with (1 09) errors in variables.

Mansour M. Abughalous*, University of Wisconsin, Platteville, and Naveen K. Bansal, Marquette University (889-62-275)

10:00 a.m. Parameter estimation in a spatial (110) autoregression model. Preliminary report.

B. B. Bhattacharyya, North Carolina State University, and Gary Richardson*, University of Central Florida (889-62-538)

10:15 a.m. Legendre series estimate of a distribution ( 111) function.

Mehdi Razzaghi, Bloomsburg University of Pennsylvania (889-62-391)

10:30 a.m. An extension of C-S inequality and statistical (112) applications. Preliminary report.

Akhll K. Valsh, University of Wisconsin, Oshkosh (889-62-524)

10:45 a.m. The selection of the best experimental (113) treatment in comparison to a control: Common,

unknown variance case. Laura Trasher Bernhofen, Syracuse University (889-62-418)

JPBM Committee on Professional Recognition and Rewards Panel Discussion

9:00 a.m.-10:00 a.m.

Final report of the committee.

MAA Panel Discussion

9:30 a.m.-10:55 a.m.

Revising the AP calculus syllabus.

Moderator: Thomas W. Tucker, Colgate University

Panelists: Wade Curry, College Board

Thomas P. Dick, Oregon State University

Deborah Hughes Hallett, Harvard University

Daniel Kennedy, The Baylor School

Anita E. Solow, Grinnell College

David A. Smith, Duke University

9:30 a.m.-10:55 a.m.

Reform in engineering curricula.

Moderator: Jane M. Day, San Jose State University

Moderator: Wade Ellis, Jr., West Valley College

Panelists: Donald W. Bushaw, Washington State University

Jeff Froyd, Rose-Hulman Institute of Technology

Keith E. Schwingendorf, Purdue University North Central

AMS Invited Address

10:05 a.m.-10:55 a.m.

(114) Particle configurations, instantons, and ho/omorphic maps. Jacques C. Hurtubise, McGill University (889-00-904)

AMS-MAA Invited Address

11:10 a.m.-noon

(115) A tale of two groups. Georgia M. Benkart, University of Wisconsin, Madison (889-00-900)

AMS Colloquium Lectures: Lecture I

1 :00 p.m.-2:00 p.m.

(116) Harmonic analysis and nonlinear evolution equations. Jean Bourgaln, University of Illinois, Urbana-Champaign

AMS-MAA-SIAM Committee on Employment Opportunities Panel Discussion

2:00 p.m.-3:15p.m.

Effective job seeking in today's market.

Moderator: Stanley J. Benkoski, Wagner Associates

Panelists: Annallsa Cranell, Franklin and Marshall College

Ronald Davis, Anoka-Ramsey Community College

Frank R. Demeyer, Colorado State University

S. Brent Morris, National Security Agency

Leon H. Seitelman, Pratt & Whitney Aircraft


·-·········· ································ ···········································································································--------


MAA Invited Address

2:15 p.m.-3:05p.m.

(117) Mathematics and the ubiquitous spreadsheet: Visualization, conceptualizations, and applications. Deane E. Arganbright, Whitworth College (889-00-911)

AMS-MAA Special Session on Mathematics and Education Reform, II

2:15 p.m.-6:05p.m.

2:15p.m. Educational change in a research university. (118) Preliminary report.

William J. Lewis, University of Nebraska, Lincoln (889-98-548)

2:45 p.m. Departmental responsibilities: A moving target. (119) Michael Starbird, University of Texas, Austin

(889-98-71 O)

3:15p.m. A process for departmental change. Preliminary (120) report.

J. Curtis Chipman, Oakland University (889-98-531)

3:45 p.m. Challenges and directions for a mathematics (121) department.

Ramesh A. Gangolll, University of Washington (889-98-790)

4:15p.m. Mathematics education reform in the University (122) of California.

Kenneth C. Millett, University of California, Santa Barbara (889-98-708)

4:45 p.m. What do we mean by institutional reform and (123) what are its implications?

Mort Brown, University of Michigan, Ann Arbor (889-98-516)

5:15p.m. Confronting the teacher shortage in (124) mathematics.

Philip C. Curtis, Jr., University of California, Los Angeles (889-97-406)

5:45 p.m. Mathematics departments, education reform (125) and the intelligent use of modem technology.

David Lovelock* and Alan Newell, University of Arizona (889-98-579)

AMS Special Session on Algebraic Topology and Dynamical Systems, II

2:15 p.m.-4:35p.m.

2:15p.m. Roots of iterates of maps. (126) Robert F. Brown, University of California, Los

Angeles, and Helga Schirmer*, Car1eton University (889-55-41 O)

2:45 p.m. The Conley index and chaos. (127) Konstantin Mlschaikow*, Georgia Institute of

Technology, and Marion Mrozek, Jagiellonian University, Poland (889-58-482)

3:15p.m. Nielsen numbers on nilmanifolds and (128) solvmanifolds.

Albaln H. Rarivoson, University of Cincinnati (889-54-439)

3:45 p.m. Morse theory and central configurations in the (129) N -body problem.

John C. Merkel, Ill, University of Minnesota, Minneapolis (889-70-462)

4:15p.m. Cohomologically symplectic spaces: Tora/ (130) actions and the Gottlieb group.

G. Lupton and J. Oprea*, Cleveland State University (889-58-111)

AMS Special Session on Singular Boundary Value Problems, I

2:15 p.m.-5:35p.m.

2:15p.m. Comparison theorems for disconjugate linear (131) differential equations.

Gary Jones, Murray State University (889-34-720)

2:45 p.m. A singular boundary value problem for a right (132) disfocallinear differential operator.

Paul W. Eloe, University of Dayton, and Eric R. Kaufmann*, Auburn University, Auburn (889-34-288)

3:15p.m. Radially symmetric solutions of generalized (133) Gelfand models.

Juan Gatica*, University of Iowa, and Gaston E. Hernandez, University of Connecticut, Storrs (889-34-741)

3:45 p.m. A singular boundary value problem for an nth (134) order nonlinear boundary value problem.

Preliminary report. Allan Peterson, University of Nebraska, Lincoln (889-34-549)

4:15p.m. Infinite interval boundary value problems and (135) radially symmetric solutions of semilinear elliptic

equations. John V. Baxley, Wake Forest University (889-34-517)

4:45 p.m. Semipositone problems in a ball. (136) Ratnaslngham Shlva)l, Mississippi State


5:15p.m. Singular boundary value problems for (137) quasi-differential equations.

Paul W. Eloe, University of Dayton, and Johnny Henderson*, Auburn University, Auburn (889-34-22)

AMS Special Session on Operator Theory, Nonself Adjoint Operator Algebras, and Control Theory, II

2:15 p.m.-6:05p.m.

2:15p.m. Introduction to H 00 optimization theory in robust (138) feedback control.

A. Tannenbaum, University of Minnesota, Minneapolis (889-93-181)


............ ····················· .. ·-·-·--....:


Wednesday, January 12 (cont'd) AMS Special Session on Geometry and Topology of Moduli Spaces, I

1392

3:15p.m. Rigorous analysis of real-world control systems. (139) B. Morton, Honeywell Technology Center

(889-93-179) (Sponsored by Gary Weiss)

3:45 p.m. Decentralized control of discrete-event systems. (140) K. Rudie, Queen's University (889-46-180)

(Sponsored by Gary Weiss)

4:15p.m. On multivariable two block Hx control problem. (141) Hitay Ozbay, Ohio State University, Columbus

(889-93-33)

4:45p.m. Control systems design with H2 and Hx design (142) specifications.

Mario A. Rotea, Purdue University, West Lafayette (889-93-663)

5:15p.m. Completions of partial triangular matrices: (143) Recent results and open problems.

Leiba Rodman, College of William and Mary (889-15-32)

5:45 p.m. Nonlinear operator theory arising from nonlinear (144) systems.

J. William Helton, University of California at San Diego, La Jolla (889-47-31)

AMS Special Session on Representation Theory and Harmonic Analysis, II

2:15 p.m.-6:05 p.m.

2:15 p.m. Integral transforms and differential operators. (145) Preliminary report.

Lisa Mantini, Oklahoma State University, Stillwater (889-22-713)

2:55 p.m. Decomposition of exterior algebras. (146) Kenneth Johnson, University of Georgia

(889-22-587)

3:35 p.m. Weighted Laplace transform and Bessel (147) functions on Hermitian symmetric spaces.

Hongming Ding, Saint Louis University (889-44-348)

4:15 p.m. Equivariant operators on non-reductive (148) homogeneous vector bundles. Preliminary

report. Adam Koranyi, Herbert H. Lehman College, City University of New York (889-22-476)

4:55 p.m. The maximal ergodic theorem for free groups. (149) Elias M. Stein, Princeton University

(889-22-778)

5:35 p.m. Highest weight representation, intertwining (150) operators, and hypergeometric functions.

Mark Davidson* and Raymond Fabec, Louisiana State University, Baton Rouge (889-22-631)

2:15 p.m.-5:05p.m.

2:15p.m. On universal relations in gauge theory. (151) Selman Akbulut, Michigan State University

(889-57 -705)

2:45 p.m. The spaces of ASD-connections over algebraic (152) surfaces. Preliminary report.

Jun Li, Stanford University (889-14-13)

3:15p.m. Vector bundles on Calabi-Yau threefolds. (153) Holl Kim, University of California, Riverside

(889-14-99) (Sponsored by Bruce L. Chalmers)

3:45p.m. Cohomology operations in Morse and Floer (154) theories.

Martin S. Betz, University of Texas, Austin (889-55-139)

4:15p.m. Algebraic cycles and infinite loop spaces. (155) Benjamin M. Mann, University of New Mexico

(889-55-122)

4:45 p.m. Homotopy invariants of the topological group of (156) algebraic cycles. Preliminary report.

Paulo Llma-FIIho, Texas A & M University, College Station (889-14-45)

AMS Special Session on Geometric Applications of Operator Algebras and Index Theory, II

2:15 p.m.-5:35 p.m.

2:15p.m. Dirac twisting and higher eta invariants. ( 157) Preliminary report.

Ronald G. Douglas*, State University of New York, Stony Brook, and Jerry Kaminker, Indiana Univ-Purdue University at Indianapolis (889-46-269)

2:45 p.m. Index theory for flat vector bundles. (158) John Lott, University of Michigan, Ann Arbor

(889-58-285)

3:15p.m. The fundamental class in cyclic cohomology (159) and index theorems.

Ryszard Nest, University of Copenhagen, Denmark (889-58-754) (Sponsored by Jerry Kaminker)

3:45 p.m. Bi-variant Chern character and TJ-invariant. (160) FangBing Wu, Kansas State University

(889-58-683)

4:15p.m. Cutting and pasting of analytical invariants. (161) Krzysztof P. Wojciechowski, Indiana

University-Purdue University, Indianapolis (889-46-492)

4:45 p.m. Riemannian foliations and index theory. (162) James F. Glazebrook, Eastern Illinois


5:15p.m. The zero spectrum of the Laplacian for certain (163) open Riemannian manifolds.

Guihua Gong, University of Puerto Rico, Rio Piedras (889-58-748)


·- lllll!liiU-FI Program of the Sessions

AMS Special Session on Quadratic Forms and Division Algebras, II

2:15 p.m.-5:35p.m.

2:15p.m. Kummer subfields of tame division algebras. (164) Patrick J. Morandi, New Mexico State

University, Las Cruces, and B. A. Sethuraman*, California State University, Northridge (889-16-226)

2:45 p.m. The generalized even Clifford algebra for (165) algebra with involution.

David Tao, University of Texas, Austin (889-15-36)

3:15p.m. Noncrossed product division algebras with a ( 166) Baer ordering.

Patrick J. Morandi*, New Mexico State University, Las Cruces, and B. A. Sethuraman, California State University, Northridge (889-16-12)

3:45 p.m. Noncrossed product division algebras over Q(t) (167) and Q((t)).

Eric Brussel, Harvard University (889-16-678)

4:15p.m. On dihedral algebras and conjugate splittings. (168) Darrell Haile, Indiana University, Bloomington

(889-16-733) 4:45 p.m. Crossed products over algebraic function fields.

(169) Preliminary report. Burt Fein*, Oregon State University, and Murray M. Schacher, University of California, Los Angeles (889-12-71)

5:15p.m. Groups admissible overQ(t) andQ((t)). (170) Preliminary report.

Murray Schacher*, University of California, Los Angeles, and Burt Fein, Oregon State University (889-12-11)

AMS Special Session on Advances in Function Theoretic Methods, I

2:15 p.m.-5:05 p.m.

2:15p.m. Hypermembrane shells. (171) James L. Buchanan, US Naval Academy

( 889-73-581 ) 2:45 p.m. Quasi-inner products and Cauchy problems.

(172) L. R. Bragg, Oakland University (889-35-250)

3:15p.m. Analytic Bezout equations: Procedure and ( 173) application.

Stephen D. Casey, American University (889-42-785)

3:45 p.m. Point-to-point reflection of harmonic functions. ( 17 4) Preliminary report.

Peter Ebenfelt, Royal Institute of Technology, Sweden, and Dmitry Khavinson*, University of Arkansas (889-35-97)

4:15p.m. Boundary problems for the Maxwell system on (175) Lipschitz domains.

Marius Mitrea, University of South Carolina (889-35-148)

4:45 p.m. Cauchy-Green type formulae in Clifford (176) analysis.

John Ryan, University of Arkansas, Fayetteville (889-30-415)

AMS Special Session on Wavelets and Their Applications, II

2:15 p.m.-5:05 p.m.

2:15p.m. Nonlinear waveletpackets. Preliminary report. (177) John J. Benedetto*, University of Maryland,

College Park, and Sandra Saliani, University of Potenza, Italy (889-42-113)

2:45 p.m. Some applications of wavelets in medical (178) imaging.

Dennis Healy, Dartmouth College (889-42-772)

3:15p.m. Chaos in adaptive time-frequency (179) decompositions.

Geoffrey M. Davis* and Stephane Mallat, New York University-Courant Institute (889-42-796)

3:45 p.m. The FBI wavelet/scalar quantization gray-scale (180) fingerprint image compression standard.

Jon Bradley, Chris Brislawn*, Los Alamos National Laboratory, and Tom Hopper, Federal Bureau of Investigation (889-94-04)

4:15p.m. Multiresolution representation of data. (181) Ami Harten, Tel-Aviv University, Israel

and University of California, Los Angeles (889-99-800)

4:45 p.m. LP multipliers and wavelets. Preliminary report. (182) E. Berkson, University of Illinois, M.

Paluszynski, Wroclav University, Poland, and Guido Weiss*, Washington University (889-42-799)


2:15 p.m.-4:15p.m.

Unifying themes for discrete mathematics. Ralph P. Grimaldi, Rose-Hulman Institute of Technology


2:15 p.m.-4:15p.m.

The mathematics of the perfect shuffle. S. Brent Morris, National Security Agency


2:15 p.m.-4:15p.m.

Theorist. Donald Hartig, California Polytechnic State University

AMS Session on General Topology

2:15 p.m.-5:40 p.m.

2:15p.m. Spaces in which countable closed sets have (183) countable character.

C. M. Pareek, Kuwait University, Kuwait (889-54-254)


..................... _. _____ Program of the Sessions

Wednesday, January 12 (cont'd) AMS Session on Probability

1394

2:30 p.m. Countable covers of spaces by closed migrant (184) sets.

Peter C. von Rosenberg, University of South Carolina, Columbia (889-55-768)

2:45 p.m. Paracompact subspaces in box product (185) topology.

Peter Nyikos and Leszek Piatkiewicz*, University of South Carolina, Columbia (889-54-746)

3:00 p.m. Another factorization of metrizability. (186) H. H. Hung, Concordia University (889-54-164)

3:15p.m. The Nachbin quasi-uniformity of a bi-stonian (187) space. Preliminary report.

P. Fletcher, Virginia Polytechnic Institute, W. Hunsaker*, Southern Illinois University, and A. Schauerte, University of Cape Town, Republic of South Africa (889-54-03)

3:30 p.m. Ultrametrics and Lebesgue measure. (188) Hossein Movahedi-Lankarani*, Pennsylvania

State University, Altoona Campus, and Robert Wells, Pennsylvania State University, University Park (889-54-320)

3:45 p.m. Non-product group topologies for Rn. (189) T. Christine Stevens, Saint Louis University

(889-54-447)

4:00 p.m. Bisemiconvergence structure spaces. (190) Preliminary report.

Jamuna P. Ambasht, Columbia, South Carolina (889-54-453)

4:15p.m. On decompositions of convergence spaces. (191) Shing Seung So, Central Missouri State


4:30 p.m. The regular-open-open topology for function (192) spaces.

Kathryn F. Porter, Saint Mary's College (889-54-702)

4:45p.m. Magill's theorem for S-equivalence. (193) Douglas D. Mooney, Western Kentucky


5:00 p.m. An extension of the Hedlund-Gottschalk (194) theorem with an application to Rosenthal sets.

Peter 0. Schwartz, Ohio State University, Columbus (889-54-30)

5:15p.m. On common fixed points of commuting (195) functions.

Ahiasghar Alikhani-Koopaei, University of Isfahan, Iran (889-26-776)

5:30 p.m. An ultra-compactification of L-fuzzy topological (196) spaces.

Ralph C. Steinlage, University of Dayton (889-54-498)

2:15 p.m.-5:25p.m.

2:15p.m. Distributions of solutions of random (197) polynomials. Preliminary report.

Robert Bozeman*, Henry Gore, Morehouse College, and M. Sambandham, Clark Atlanta University (889-60-721)

2:30 p.m. Some random processes related to affine (198) random walks.

Martin V. Hildebrand, University of Minnesota, Minneapolis (889-60-734)

2:45 p.m. A class of harmonizable isotropic random fields. (199) Randall J. Swift, Western Kentucky University

(889-60-48)

3:00 p.m. Random effects estimation with relaxed (200) distributional assumptions.

Robert L. Gould, University of California at San Diego, La Jolla (889-60-646)

3:15p.m. Weak convergence of modulus trimmed sums. (201) Fozia S. Qazi, Syracuse University

(889-60-299)

3:30 p.m. A heavy traffic limit theorem for a controlled (202) multi-access channel. Preliminary report.

Anne M. Dougherty, University of Wisconsin, Madison (889-60-673)

3:45 p.m. Proof of stability conditions for token passing (203) rings by Lyapounov functions.

Mitchell Kotler, University of Massachusetts, Amherst (889-60-603)

4:00p.m. Generalized Feynman intergrals: The .C(£2, £ 2)

(204) theory. Chull Park, Miami University, Oxford, and David L. Skoug*, University of Nebraska, Lincoln (889-60-333)

4:15 p.m. Extensions of the class of multivariate normal (205) densities.

Jerzy Fllus, Northeastern Illinois University (889-60-47)

4:30 p.m. General upper bounds and Poisson (206) approximations fort-covering arrays.

Anant P. Godbole*, Michigan Technological University, Daphne E. Skipper, University of the South, and Rachel A. Sunley, Amherst College (889-60-194)

4:45 p.m. Variation of dual projection and optional (207) stochastic integration.

David K. Neal, Western Kentucky University (889-60-80)

5:00 p.m. Stochastic integration of finite expectation (208) processes.

Nasser Towghi, University of Arizona (889-60-393)

5:15 p.m. Critical behavior of the contact process of a (209) tree.

C. Chris Wu, Pennsylvania State University, Monaca (889-60-497)


-•L-:.-..-.JI!u .. .._ Program of the Sessions

AMS Session on Functions of a Complex Variable

2:15 p.m.-5:25 p.m.

2:15p.m. Application of Monte Carlo methods to (21 0) coefficient problems. Preliminary report.

Andrzej W. Kedzierawski, State University of New York, College at Geneseo (889-30-553)

2:30 p.m. On a problem of Gross concerning the unicity of (211) moromorphic functions.

Song Guodong, Uppsala University, (889-30-489) (Sponsored by Wolfgang H. Fuchs)

2:45 p.m. On the value distribution of certain differential (212) polynomials. Preliminary report.

C. K. Tze and Chung-Chun Yang*, Hong Kong University of Science & Technology, (889-30-388)

3:00 p.m. An extremal modulus problem for univalent (213) functions.

Robin Cunningham, Trenton State College (889-30-170)

3:15 p.m. An inequality for the polar derivative of an entire (214) function.

Robert Gardner, Jr.*, East Tennessee State University, and N. K. Govil, Auburn University (889-30-643)

3:30 p.m. Packing measure analysis of harmonic (215) measure. Preliminary report.

Elizabeth Ann Housworth, Purdue University, West Lafayette (889-30-128)

3:45 p.m. Convolution properties of Ruscheweyh class of (216) analytic functions of complex order.

0. P. Ahuja, University of Papua New Guinea, and M. Jahangiri*, California State University, Bakersfield (889-30-504)

4:00 p.m. Uniform extendibility of the Bergman kernel. (217) Anthony D. Thomas, Purdue University, West

Lafayette (889-32-639)

4:15p.m. Preliminary results on an explicit, smooth local (218) patching for two balls in C2 •

Carl D. Mueller, Georgia Southwestern College (889-32-461)

4:30p.m. The Ct Rogers-Selberg identity. (219) Stephen C. Milne, Ohio State University,

Columbus (889-33-321)

4:45p.m. Some results for Tchebichef, Laguerre, Hermite, (220) Gegenbaur and Jacobi functions of second

kind. Mlhr J. Shah, Kent State University (889-33-351)

5:00 p.m. Inequalities satisfied by Airy's function. (221) Preliminary report.

Mohammad Salmassi, Framingham State College (889-33-584)

5:15p.m. Embedded graphs and planar domains. (222) Preliminary report.

Sam Northshield, State University of New York, College at Plattsburgh (889-43-130)

AMS Session on Groups and Semigroups

2:15 p.m.-5:55p.m.

2:15p.m. The kernels of formations. (223) Homer Bechtel!, University of New Hampshire,

and Mark Hofmann*, Skidmore College (889-20-445)

2:30 p.m. Direct products of inseparable finite groups. (224) Joseph Kirtland, Marist College (889-20-230)

2:45 p.m. Random number generation and the finite (225) Heisenberg group.

Maria R. Zack, Institute for Defense Analyses (889-20-466)

3:00p.m. Finite simple groups with FF-modules. (226) John T. Zerger, Kansas State University

(889-20-637)

3:15p.m. Algebra of semigroup diagrams. (227) Vesna Kilibarda, University of Nebraska,

Lincoln (889-20-274)

3:30 p.m. Semigroups whose subsemigroups are left (228) congruence classes. Preliminary report.

Asuman Oktac, University of Iowa (889-20-450)

3:45 p.m. An analog to the Jacobson radical for (229) semigroups. Preliminary report.

David Fell, University of Iowa (889-20-540)

4:00p.m. Cocycles on cancellative semigroups. (230) T. M.K Davison, McMaster University, and

Bruce R. Ebanks*, University of Louisville (889-39-511)

4:15 p.m. Products of involutions in SL(n, A). (231) Francis A. Arlinghaus, Youngstown State


4:30 p.m. A generalization of Dickson invariants. (232) Preliminary report.

Leonard Krop, DePaul University (889-20-443)

4:45 p.m. On the equivalence of virtual monomorphisms (233) and virtual epimorphisms. Preliminary report.

Robin Brooks*, Bates College, and Charles Odenthal, University of Toledo (889-20-539)

5:00p.m. On pseudofree groups and sequential (234) representations.

Robert Militello, Memphis, Tennessee, and Heather Ries*, East Carolina University (889-20-512)

5:15p.m. Balanced projective dimension of torsion-free (235) Abelian k-groups. Preliminary report.

Sherri L. Brugh* and Charles K. Megibben, Vanderbilt University (889-20-431)

5:30 p.m. Realizing the rings of invariants of p-adic (236) reflection groups. Preliminary report.

Changsheng Xu, Purdue University, West Lafayette (889-20-145)

5:45 p.m. On principally injective rings. (237) W. K. Nicholson, University of Calgary, and M.

F. Yousif*, Ohio State University, Lima ( 889-16-356)


w•- • !m•···· Program of the Sessions

Wednesday, January 12 (cont'd) 3:35 p.m. Analytical geometry: A bridge between

(250) university and industry. Samir Tannouri*, Ahlam El-Hage Tannouri and Vojislav Stojkovic, Morgan State University (889-00-1 018)

AMS Session on Approximations and Expansions

2:15 p.m.-4:10 p.m.

2:15p.m. On some shift-invariant integral operators, (238) univariate case. Preliminary report.

George Anastassiou*, Memphis State University, and Heinz H. Gonska, University of Duisburg, Germany (889-41-87)

2:30 p.m. Metric entropies of various function spaces. (239) Preliminary report.

Joseph M. Strus, University of Illinois, Urbana-Champaign (889-41-696)

2:45 p.m. On the orthogonal rational functions. (240) Preliminary report.

K. Pan, Barry University (889-41-253) (Sponsored by M. S. Jagadish)

3:00 p.m. Bernstein-type inequalities for rational functions (241) with prescribed poles.

Xin Li, R. N. Mohapatra• and R. S. Rodriguez, Jr., University of Central Florida (889-41-594)

3:15p.m. Nonlinear segmented Lv approximation. (242) Preliminary report.

Nanping Yang, University of Oregon (889-41-471)

3:30 p.m. On convergence of an algorithm to calculate (243) best mean piecewise polynomial

approximations. Richard Gayle* and Jerry M. Wolfe, University of Oregon (889-41-626)

3:45 p.m. Shape preserving knot removal. Preliminary (244) report.

Larry L. Schumaker and Sonya S. Stanley•, Vanderbilt University (889-41-429)

4:00 p.m. Characterization of bi-orthogonal cardinal spline (245) wavelet bases.

Debao Chen, University of Texas, Austin (889-41-135)

MAA Session on Applied Geometry, I

2:15 p.m.-4:30p.m.

2:15p.m. Applications of stereographic projection. (246) Ernest J. Manfred, United States Coast Guard

Academy (889-00-1013)

2:35 p.m. Euclid's optics. (247) Maria Terrell, Cornell University, Ithaca

(889-00-1 019)

2:55 p.m. Perspective drawing and projective geometry. (248) Susan L. Addington, California State

University, San Bernardino (889-00-1 008)

3:15p.m. Geometry and computer science: A visual (249) approach toward exploring advanced concepts.

Richard O'Lander, St. John's University (889-00-1 015)

3:55 p.m. Discrete applied geometry: Klein's hierarchy (251) and projective geometry.

Walter Whiteley, York University (889-00-1020)

4:15p.m. Two-color patterns in the Southwestern Pacific. (252) Donald W. Crowe, University of Wisconsin,

Madison (889-00-1 009)

MAA Session on Restructuring Teaching and Learning in Linear Algebra, I

2:15 p.m.-6:00 p.m.

2:15p.m. ATLAST progress report. (253) Steven J. Leon, University of Massachusetts at

Dartmouth (889-00-1194)

2:45 p.m. Mathematics as a conjecture making tool in (254) linear algebra.

Tilak De Alwis, Southeastern Louisiana University (889-00-1181)

3:00p.m. Using MATLAB to visualize n-space. (255) Daniel Cunningham, State University of New

York, Buffalo (889-00-1178)

3:15p.m. Can we see the span? An interactive approach (256) to spanning sets.

Lila F. Roberts, Georgia Southern University (889-00-1202)

3:30p.m. Numeric versus symbolic MATRIX computation. (257) Cleve Moler, The Mathworks Incorporated,

Massachusetts (889-00-1197)

3:55 p.m. Circulant matrices and MATLAB. (258) Jeffrey L. Stuart, University of Southern

Mississippi, and James R. Weaver*, University of West Florida (889-00-1204)

4:10p.m. Teaching linear algebra in new ways. (259) Jane M. Day, San Jose State University

(889-00-1180)

4:25 p.m. Least squares problems in coordinate (260) metrology.

Walter Gander, Eidgen Technische Hochschule, Switzerland (889-00-1184)

4:55 p.m. MATLAB exercises to enable geometric intuition (261) for linear transformations.

Richard H. Elderkin, Pomona College (889-00-1182)

5:10p.m. A linear algebra and MATLAB project arising (262) from an aerospace industry application.

Bruce N. Lundberg, University of Southern Colorado (889-00-1195)

5:25 p.m. Experiences with the core curriculum in linear (263) algebra.

Richard Barshlner, Pennsylvania State University, Dunmore (889-00-1177)

5:40 p.m. AIDS case projection and Stirling numbers of (264) the second kind: Two projects for linear algebra

students. Emelie Kenney, Siena College (889-00-1190)



MAA CCIME Poster Session on Interactive Mathematics Texts:

Using Technology for Active Learning

2:15 p.m.-5:45p.m.

2:15p.m. Introduction and overview, Jerry Porter and Elizabeth Teles

2:30 p.m. Interactive text in a laboratory setting. (265) Lawrence C. Moore, Jr. and David A. Smith*,

Duke University (889-00-1232)

2:50 p.m. Interactive algebra and calculus texts. (266) Benjamin N. Levy, Interactive Mathematics

Text Project, Somerville, Massachusetts (889-00-1228)

3:10p.m. Entry-level calculus with Maple II. (267) Carol Scheftlc*, Carnegie-Mellon University,

and Douglas E. Ensley, Shippensburg University, Shippensburg, PA (889-00-1231)

3:30 p.m. Interactive mathematics texts using MathKit. (268) Mike Pepe, Seattle Central Community College

(889-00-1230)

3:50 p.m. Linear algebra in Mathcad: An interactive text. (269) David R. Hill*, Temple University, Philadelphia,

and Gerald J. Porter, University of Pennsylvania (889-00-1227)

4:10p.m. Math experiments using MathKit. (270) Ladnor Geissinger* and Jim White, University

of North Carolina, Chapel Hill (889·00-1226)

4:30 p.m. Calculus and Mathematics. (271) William Davis*, Ohio State University,

Columbus, Jerry Uhl, Jr. and Horacio Porta, University of Illinois, Urbana-Champaign (889-00-1234)

4:50 p.m. Interactive settings for linear algebra. (272) Elias Yacoub Deeba* and Ananda

Gunawaredena, University of Houston-Downtown (889-00-1233)

5:10p.m. Project CALC Mathematics laboratories for (273) calculus instruction.

William Barker*, Stephen Fisk and Robert Knapp, Bowdoin College (889-00-1225)

5:30 p.m. Interactive experiments, theory, and applications (274) in linear algebra.

Robert T. Moore, University of Washington (889-00-1229)

AMS Committee on Science Policy-MAA Science Policy Committee Panel Discussion

2:15 p.m.-4:00p.m.

The place of mathematics in national science and technology goals. Moderator: Frank W. Warner, University of Pennsylvania

Panelists: Hyman Bass, Columbia University

Phillip A. Griffiths, Institute for Advanced Study

John C. Polklng, Rice University

Margaret H. Wright, AT&T Bell Labs

MAA Invited Address

3:20 p.m.-4:10p.m.

(275) Circle packing and conformal mapping. Brad G. Osgood, Stanford University (889-00-914)

AWM Panel Discussion

3:20 p.m.-4:20 p.m.

Are women getting all the jobs?

National Security Agency Panel Discussion

3:25 p.m.-4:25 p.m.

Supporting sabbaticals for academic mathematical scientists. Moderator: Richard J. Shaker, National Security Agency

Panelists: Ezra Brown, Virginia Polytechnic Institute

Jack Brown, Clemson University

Kenneth Smith, Central Michigan University

AWM Business Meeting

4:20 p.m.-5:00 p.m.


4:25 p.m.-5:15p.m.

(276) Update on Fermat's Last Theorem. Kenneth A. Ribet, University of California, Berkeley (889·00·903)

MAA Minicourse #1: Part B

4:30 p.m.-6:30 p.m.

Organizing an undergraduate research program. Robert 0. Robson, Oregon State University, and Joseph A. Gallian, University of Minnesota, Duluth


4:30 p.m.-6:30 p.m.

Inverse problems in the undergraduate classroom. Charles W. Groetsch, University of Cincinnati, and Zuhalr Nashed, University of Delaware


················~--~---


Wednesday, January 12 (cont'd) 9:15a.m.

(282) Paying attention to mathematics education reform: Project PROMPT. Dale R. Oliver*, McKinleyville, California, and Phyllis Z. Chinn, Humboldt State University (889-98-219)

1398


4:30 p.m.-6:30 p.m.

The Joy of Mathematics: a point-and-click way to use and /eam Mathematics. Alan H. Shuchat and Frederic W. Shultz, Wellesley College

MAA Section Officers

4:30 p.m.-6:30 p.m.

NSF Invited Address

5:05 p.m.-5:55 p.m.

(277) Mathematical sciences and federal science policy. Frederic Y. M. Wan, National Science Foundation

AMS Josiah Willard Gibbs Lecture

8:30 p.m.-9:30 p.m.

(278) Necessity and chance: Deterministic chaos in ecology and evolution. Robert M. May, Oxford University, England

Thursday, January 13

AMS-MAA Special Session on Mathematics and Education Reform, Ill

8:00 a.m.-10:50 a.m.

8:00 a.m. The geometry forum. (279) Eugene A. Klotz, Swarthmore College

(889-98-760)

8:25 a.m. Precalculus: Preparing students for calculus (280) reform.

Janet Andersen, Hope College (889-98-474) 8:50 a.m. Transfer of inservice workshops on real-time

(281) interactive computer animation for the mathematics classroom from a /ow-tech to a high-tech environment. George Francis, University of Illinois, Urbana-Champaign (889-68-307) (Sponsored by Philip D. Wagreich)

9:40 a.m. Writing and project use in high school math (283) classes. Preliminary report.

Roger Greer* and Marilyn Gutman, Mayfield High School, Las Cruces, New Mexico (889-98-438) (Sponsored by David R. Finston)

1 0:05 a.m. The Clark Atlanta University mathematics (284) program. Preliminary report.

Abdulallm A. Shabazz, Clark Atlanta University (889-98-530)

1 0:30 a.m. Building a state mathematics coalition. (285) Joseph G. Rosenstein, Rutgers University,

New Brunswick (889-97-580)

AMS Special Session on Operator Theory, Nonself Adjoint Operator Algebras, and Control Theory, Ill

8:00 a.m.-10:50 a.m.

8:00 a.m. The permanence of central intertwining fittings. (286) Ciprian Foias, Indiana State University

(889-47-133)

9:00 a.m. On the two-block H"'" problem for a class of (287) unstable distributed systems.

Caixing Gu*, Indiana University, Bloomington, Onur Toker and Hitay Ozbay, Ohio State University, Columbus (889-47-222)

9:30 a.m. On superoptimal approximations by analytic and (288) meromorphic functions.

Sergei Treil, Michigan State University (889-47-118) (Sponsored by Gary Weiss)

10:00 a.m. Construction of superoptimal approximation by (289) matrix analytic functions.

Vladimir V. Peller, Kansas State University (889-47-129)

10:30 a.m. A generalization of Pick's theorem for uniform (290) algebras and related results on Hilbert space

operators. Preliminary report. Brian J. Cole* and John Wermer, Brown University (889-30-652)

AMS Special Session on Representation Theory and Harmonic Analysis, Ill

8:00 a.m.-10:50 a.m.

8:00 a.m. Boundary values of cohomology and series of (291) representations.

Simon Gindikin, Rutgers University, New Brunswick (889-32-731)

8:35 a.m. Three generalizations of Weyl's denominator (292) formula.

Todd Simpson, Pennsylvania State University, University Park (889-05-98)


rm Program of the Sessions

9:10a.m. Positivity of intertwining operators and the (293) Cauchy-Szego kernel.

John E. Gilbert, University of Texas, Austin (889-42-681) (Sponsored by Donald S. Richards)

9:45 a.m. Covariant differential operators and derived (294) functor induction. Preliminary report.

Ronald J. Stanke, Baylor University (889-22-368)

10:20 a.m. Total positivity and random walks on Weyl (295) chambers.

Kenneth I. Gross and Donald St P Richards*, University of Vermont (889-43-714)

AMS Special Session on Geometric Applications of Operator Algebras and Index Theory, Ill

8:00 a.m.-10:50 a.m.

8:00a.m. The stable classification of spin manifolds of (296) positive scalar curvature. Preliminary report.

Jonathan Rosenberg*, University of Maryland, College Park, and Stephan Stolz, University of Notre Dame (889-53-518)

8:30 a.m. Localization of topological Pontrjagin classes (297) via finite propagation speed.

Henri Moscovici*, Ohio State University, Columbus, and Fang-Bing Wu, Kansas State University (889-58-582)

9:00 a.m. Exotic index theory and the Novikov conjecture. (298) Steven Hurder, University of Illinois, Chicago

( 889-19-588)

9:30 a.m. Coarse geometry and operator algebras. (299) Guoliang Yu, University of Colorado, Boulder

(889-46-337)

10:00 a.m. Regular singular perturbed Dirac operators. (300) Preliminary report.

Jeffrey Stephen Fox, University of Colorado, Boulder, and Peter Haskell*, Virginia Polytechnic Institute and State University (889-58-287)

10:30 a.m. Algebraic K-theory invariants from operator (301) algebras.

Jerome Kaminker, Indiana University-Purdue University, Indianapolis (889-46-771)

AMS Special Session on Quadratic Forms and Division Algebras, Ill

8:00 a.m.-10:50 a.m.

8:00 a.m. The Witt ring of an elliptic curve. (302) Bill Jacob, University of California, Santa

Barbara (889-12-723)

8:30a.m. Witt rings of elliptic curves over elementary type (303) fields. ·

Robert Schwennicke, University of California, Santa Barbara (889-14-791)

9:00 a.m. On Witt groups of surfaces over local fields. (304) R. Sujatha*, Ohio State University, Columbus,

and Shuji Saito, University of Tokyo, Japan (889-14-242) (Sponsored by Daniel B. Shapiro)

9:30a.m. u-invariant computations. Preliminary report. (305) Charles Yeomans, Lexington, Kentucky

(889-12-370)

10:00 a.m. The similarity group of a trace form of higher (306) degree.

Manuel O'Ryan*, University of Talca, Chile, and Daniel B. Shapiro, Ohio State University, Columbus (889-15-589)

10:30 a.m. A note on the Kaplansky radical. Preliminary (307) report.

Roger Ware, Pennsylvania State University, University Park (889-12-218)

AMS Special Session on Advances in Function Theoretic Methods, II

8:00 a.m.-10:50 a.m.

8:00 a.m. Interpolating scattering solutions. Preliminary (308) report.

P. A. McCoy, United States Naval Academy ( 889-35-14 7)

8:30 a.m. Advances in hydrodynamic stability theory by (309) function theoretic methods.

lsom H. Herron, Rensselaer Polytechnic Institute (889-30-294)

9:00 a.m. Construction methods for closed-form Bergman (310) kernels.

Erwin 0. Kreyszig, Carleton University (889-35-251)

9:30 a.m. Applications of ray-proper mappings in (311) nonlinear integral equations.

Jorge E. Hernandez, University of Panama, Panama, and M. Zuhair Nashed*, University of Delaware (889-45-606)

10:00 a.m. A second characterization of lie generators of (312) strongly continuous semigroups on a polish

space. J. R. Dorroh, Louisiana State University, Baton Rouge, and John W. Neuberger*, University of Northern Texas, Denton (889-47-161)

10:30 a.m. Singularities in orthogonal series. Preliminary (313) report.

Gilbert G. Walter, University of Wisconsin, Milwaukee (889-33-261)


8:00 a.m.-10:00 a.m.

Introduction to research in the teaching and learning of undergraduate mathematics: examples in calculus. Joan Ferrini-Mundy, University of New Hampshire, and Kathleen Held, The Pennsylvania State University, University Park



Thursday, January 13 (cont'd)


8:00 a.m.-10:00 a.m.

The math modeling/precalculus reform project: using discrete mathematical models to motivate mathematics. Sheldon P. Gordon, Suffolk Community College, and B. A. Fusaro, Salisbury State University

AMS Session on Global Analysis

8:00 a.m.-10:55 a.m.

8:00 a.m. On the w-limit sets of certain one dimensional (325) maps. Preliminary report.

Selvaratnam Sridharma, Dillard University (889-58-661)

8:15 a.m. Some new combinatorial models for rational (326) maps. Preliminary report.

Kevin M. Pilgrim, University of California, Berkeley (889-58-303)

8:30 a.m. Symmetries of Mandelbar sets (327) Michael J. Spurr, East Carolina University

(889-58-387)

AMS Session on Partial Differential Equations, I 8:45 a.m. A parameterization of the period 3 hyperbolic (328) components of the Mandelbrot set. Preliminary

report.

1400

8:00 a.m.-10:40 a.m.

8:00 a.m. Bilinear optimal control of a Kirchhoff plate. (314) Mary E. Bradley, University of Louisville

(889-35-427) 8:15a.m. On a method of Atkinson for evaluating domain

(315) integrals in the boundary element method. C. S. Chen*, University of Nevada, Las Vegas, and Michael Arthur Golberg, Las Vegas, Nevada (889-35-545)

8:30 a.m. Smoothing properties and boundary control of a (316) Schr&Jinger equation.

Mary Ann Horn, University of Minnesota, Minneapolis (889-35-669)

8:45 a.m. Vortex annihilation in nonlinear heat flow for (317) Ginzburg-Landau systems.

Chao-Nien Chen, Madison, Wisconsin (889-35-532)

9:00 a.m. A boundary value problem for the wave (318) equation. Preliminary report.

Nezam lranlparast, Western Kentucky University (889-35-573)

9:15a.m. Generalized Korteweg-de Vries equation with (319) Riemann initial data.

Aloysius Bathl Kasturiarachi, Duke University (889-35-780)

9:30 a.m. Global asymptotic stability in population models (320) with diffusion and delay effects.

Wei Feng* and Xln Lu, University of North Carolina, Wilmington (889-35-526)

9:45 a.m. Instability criterion for a rotating body with liquid (321) inside.

Andrei A. Lyashenko, Kyoto University, Japan and Institute of Mathematics, Russia (889-35-02)

10:00 a.m. A phase field model with memory. Preliminary (322) report.

Sergiu Aizicovlci*, Ohio University, and Viorel Barbu, University of lasi, Romania (889-35-88)

10:15 a.m. On the simplification of Ovsiannikov's method (323) for the construction of partially invariant

solutions. Preliminary report. S. K. Rai, University of Arkansas, and C. C.A. Sastri*, Dalhousie University (889-35-620)

10:30 a.m. Constant principal strain mappings of plane (324) domains.

Julian Gevirtz, University de Chile, Santiago, Chile (889-35-339)

Dante Giarrusso*, St. Lawrence University, and Yuval Fisher, University of California at San Diego, La Jolla (889-58-597)

9:00 a.m. Generalized symplectic geometry on bundles of (329) frames. Preliminary report.

Jeffrey K. Lawson, North Carolina State University (889-58-675)

9:15a.m. £P theory of differential forms on manifolds. (330) Chad Scott, Syracuse University (889-58-565)

9:30 a.m. A generalized nonlinear version of Swan's (331) theorem.

Palanivel Manoharan, Kent State University, East Liverpool (889-58-316)

9:45 a.m. A Lie theoretic Galois theory for the spectral (332) curves of an integrable system I, II.

Andrew McDaniel*, Fairfax, Virginia, and Lawrence Smolinsky, Louisiana State University (889-58-125)

1 0:00 a.m. Combinatorics of free product graphs. (333) Preliminary report.

Gregory Quenell, Bucknell University (889-58-331)

10:15 a.m. Basin of attraction of Hamiltonian systems due (334) to separatrix crossing.

Eric Ho* and Richard Haberman, Southern Methodist University, Dallas (889-58-470)

1 0:30 a.m. Multiple target radar tracking. (335) Christopher Lee, John Carroll University

(889-58-648)

10:45 a.m. Finding exact solutions of nonlinear partial (336) differential equations by using symbolic

computation. MarlaCiara Nucci, University of Perugia, Italy (889-58-126)

MAA Session on Research in Undergraduate Mathematics Education, I

8:00 a.m.-9:55 a.m.

8:00 a.m. Recovering motivation and soul in mathematics: (337) Teaching with original sources.

Reinhard Laubenbacher, David Pengelley, New Mexico State University, and Michael Slddoway*, Colorado College (889-00-1146)



8:20 a.m. Instructional organization and self-selected (338) tracking in college calculus.

David T. Burkam, University of Michigan, Ann Arbor (889-00-1131)

8:40 a.m. An experimental approach in an elementary (339) course in probability & statistics.

Helen Christensen, Loyola College (889-00-1132)

9:00 a.m. Testing calculus skills of first year university (340) students. Preliminary report.

Gontran Ervynck, Katholieke University, Leuven, Belgium (889-00-1138)

9:20 a.m. What is the nature of change? An experiment in (341) calculus reform.

Joel S. Silverberg, Roger Williams University (889-00-1147)

9:40 a.m. Using technological assistance in improving the (342) success rate on the math PPST.

John Sasser, Ohio State University, Lima (889-00-1144)

MAA Student Chapters Special Paper Session

8:00 a.m.-10:40 a.m.

8:00 a.m. A fall gathering of NC & SC MAA student (343) chapters.

R. Bucky Allen, Jr., Francis Marion College, and Stephen L Davis*, Davidson College (889-00-1235)

8:20a.m. Advising an MAA student chapter: Successes (344) and teaming experiences.

Mary T. Treanor, Valparaiso University (889-00-1242)

8:40 a.m. From student talks and workshops to career (345) opportunities.

Robert C. Eslinger, Hendrix College (889-00-1237)

9:00 a.m. Murder mysteries and friendly competitions: (346) Student activities in the Indiana section.

Rick Gillman, Valparaiso University (889-00-1239)

9:20a.m. But what can I do with a mathematics degree? (347) Preliminary report.

Deborah A. Frantz, Kutztown University of Pennsylvania (889-00-1238)

9:40 a.m. The problem solving competition. (348) Richard S. Neal, University of Oklahoma

(889-00-1240) 10:00 a.m. MAA student chapter activities: Fund raising

(349) and fund utilization. Ron Barnes, University of Houston, Downtown (889-00-1236)

10:20 a.m. A student career conference in the (350) mathematical sciences.

Karen J. Schroeder, Bentley College (889-00-1241)

AMATYC-MAA-NCTM Panel Discussion

8:00 a.m.-9:20 a.m.

In the year 2000: who will your students be and what will they know about mathematics?

Organizer: Susan L. Forman, Mathematical Sciences Education Board

Donald L. Kreider, Dartmouth College

Marcia P. Sward, Mathematical Association of America

Panelists: Gall F. Burrill, Whitnall High School

Carolyn R. Mahoney, California State University, San Marcos

Stephen Rodl, Austin Community College

Zalman P. Usiskln, University of Chicago

SUMMA Workshop

8:00 a.m.-9:50 a.m.

Intervention projects for minority precollege students.

Organizer: William A. Hawkins, Strengthening Underrepresented Minority Mathematics Achievement (SUMMA)

Panelists: Joaquin Bustoz, Arizona State University

Roger Contreras, University of Texas at Brownsville

Robert E. Megginson, University of Michigan

AMS Special Session on Algebraic Topology and Dynamical Systems, Ill

8:30 a.m.-10:50 a.m.

8:30 a.m. The projective fundamental group of a Z 2-shift. (351) William Geller•, University of California,

Berkeley, and James Propp, Massachusetts Institute of Technology (889-58-655)

9:00 a.m. Addition formulae for Nielsen numbers of fibre (352) preserving maps.

Philip R. Heath*, Memorial University of Newfoundland, Ed Keppelmann, University of Nevada, and Peter N.S. Wong, Bates College (889-55-1 09)

9:30 a.m. Chaos in the cyclic feedback systems. (353) Tomas Gedeon, Georgia Institute of

Technology (889-34-403)

1 0:00 a.m. Nilpotent fibrations and L - S category. (354) Barry Jessup, University of Ottawa

(889-55-717)

10:30 a.m. Algebraic techniques in surface dynamics. (355) Phil Boyland, State University of New York,

Stony Brook (889-54-630)

AMS Special Session on Geometry and Topology of Moduli Spaces, II

8:30 a.m.-10:50 a.m.

8:30 a.m. Applications of labelled configuration spaces. (356) Preliminary report.

Martin A. Guest, University of Rochester (889-55-138)


1402

....... ~ .......... ___ Program of the Sessions


9:00 a.m. Moduli spaces of singular Yang-Mills (357) connections. Preliminary report.

Philip H. Spencer, University of Toronto (889-53-46)

9:30 a.m. The moduli spaces on Yang-Mills instantons on (358) ruled surfaces.

Jacques Hurtubise, McGill University, and R. James Milgram*, University of New Mexico (889-14-140)

10:00 a.m. Configuration spaces of algebraic varieties. (359) Burt Totaro, University of Chicago (889-55-09)

(Sponsored by Jacques C. Hurtubise)

10:30 a.m. Discussion

AMS Session on Logic and Foundations

8:30 a.m.-10:55 a.m.

8:30 a.m. Turing degrees of Boolean algebra. (360) John J. Thurber, University of Notre Dame

(889-03-172)

8:45 a.m. Generalized nonsplitting and Boolean algebra (361) embeddings in the recursively enumerable

Turing degrees. Steven D. Leonhardi, University of Wisconsin, Madison (889-03-327)

9:00 a.m. Non-standard extensions of weak presentations. (362) Preliminary report.

Alexandra Shlapentokh, East Carolina University (889-03-446)

9:15a.m. T-convexity and o-minimal groups. Preliminary (363) report.

Adam H. Lewenberg, University of Illinois, Urbana-Champaign (889-03-634)

9:30 a.m. The maximality of Henson's Banach space (364) logic.

Jose Iovino, University of Illinois, Urbana-Champaign (889-46-712)

9:45a.m. The r.e. cuppables have a L.5 -complete index (365) set.

Michael A. Jahn, University of Wisconsin, Madison (889-03-672)

10:00 a.m. Covering properties on the hyperfinite time line. (366) Alan L. Letarte, University of Wisconsin,

Madison (889-03-701)

10:15 a.m. k-Covering sets. (367) Greg Bishop, College of Mount Saint Joseph

(889-04-358)

10:30 a.m. Uncountable sets in forcing extensions. (368) Preliminary report.

Mark Johnson, University of Wisconsin, Madison (889-04-668)

10:45 a.m. On some cardinal characteristics of the (369) continuum.

Olga Ylparaki, University of Michigan, Ann Arbor (889-04-670)

AWM Emmy Noether Lecture

9:00 a.m.-9:50 a.m.

(370) Analysis in gauge theory. Lesley M. Sibner, Polytechnic University

AMS Special Session on History of Mathematics, I

9:00 a.m.-10:45 a.m.

9:00 a.m. Markov vs Nekrasov: A conflict of outlook. (371) Roger Cooke, University of Vermont

(889-01-509)

9:30 a.m. The birth of the Soviet mathematical school. (372) Sergei S. Demidov, Russian Academy of

Sciences, Russia (889-01-560)

10:15 a.m. Nikolai Luzin and Father Pavel Florensky (373) report.

Charles E. Ford, Saint Louis University (889-53-554)

AMS Special Session on Singular Boundary Value Problems, II

9:00 a.m.-10:50 a.m.

9:00 a.m. Existence of positive solutions for singular (374) boundary problems on an infinite interval.

L. E. Bobisud, University of Idaho (889-34-249)

9:30 a.m. Singular focal boundary value problems. (375) Johnny Henderson and Kuo-chuan Yin*,

Auburn University, Auburn (889-34-209)

10:00 a.m. Some existence, uniqueness and stability (376) results for a class of singular diffusion

problems. Preliminary report. J. B. Garner* and R. J. Schilling, University of Arkansas, Little Rock (889-34-248)

10:30 a.m. Existence of solutions in singular biharmonic (377) problems.

Gaston E. Hernandez, University of Connecticut, Storrs (889-35-158)

AMS Special Session on Wavelets and Their Applications, Ill

9:00 a.m.-1 0:50 a.m.

9:00 a.m. Wavelet based algorithms for initial value (378) problems.

Stanley Osher, University of California, Los Angeles (889-42-86)

9:30 a.m. A new technique to determine the regularity of (379) wavelets.

Ingrid Daubechies, Rutgers University, New Brunswick (889-42-487)



1 0:00 a.m. Multiresolution analysis on nonsmooth sets in (380) lR n.

Bjorn Jawerth, University of South Carolina, Columbia (889-42-711)

10:30 a.m. Applications of wavelets to signal and image (381) processing.

Ronald A. DeVore, University of South Carolina, Columbia, and Bradley J. Lucier•, Purdue University, West Lafayette (889-94-684)

MAA Session on Applied Geometry, II

9:00 a.m.-10:55 a.m.

9:00 a.m. Transformation geometry for robotics. (382) Walter Meyer, Adelphi University (889-00-1014)

9:20 a.m. Stimulating student interest through a (383) problem-solving approach to unexpected

geometric applications. James Smart, San Jose State University (889-00-1 017)

9:40a.m. Teaching applied geometry in K-12. (384) Joseph Malkevltch, York College, City

University of New York (889-00-1012) 10:00 a.m. Projective geometry and perspective.

(385) Catherine A. Gorlnl, Maharishi International University (889-00-1 011)

10:20 a.m. The geometry and rigidity of frameworks. (386) Brigitte Servatlus, Worcester Polytechnic

Institute (889-00-1016) 10:40 a.m. A senior seminar in computational geometry.

(387) Deborah S. Franzblau, Rutgers University, Piscataway (889-00-1 01 0)

MAA CCIME Special Presentation

9:00 a.m.-9:50 a.m.

9:00 a.m. The promise of interactive texts. (388) James E. White, Institute for Advanced

Technology

MAA Invited Address

10:05 a.m.-10:55 a.m.

(389) What does it mean to understand a mathematical concept? It depends on your point of view. Steven G. Monk, University of Washington (889-00-913)

AMS Committee on the Profession Special Presentation

10:05 a.m.-10:55 a.m.

10:05 a.m. Mathematical research in materials science: (390) opportunities and perspectives.

Avner Friedman, University of Minnesota, Minneapolis


11:10 a.m.-noon

(391) Random walks and volume. L8szl6 Lovasz, Eotvos Lorand Tudomanyegyetem, Budapest, Hungary and Princeton University (889-00-902)

MAA Business Meeting

12:15 p.m.-12:45 p.m.

AMS Colloquium Lectures: Lecture II

1 :00 p.m.-2:00 p.m.

(392) Harmonic analysis and nonlinear evolution equations. Jean Bourgaln, University of Illinois, Urbana-Champaign

AMS Invited Address

2:15 p.m.-3:05p.m.

(393) Reflecting Brownian motions. Ruth J. Williams, University of California at San Diego, La Jolla (889-00-908)

AMS-MAA Special Session on Mathematics and Education Reform, IV

2:15 p.m.-4:05 p.m.

2:15p.m. Learning about teaching about teaming. (394) Daniel L. Goroff, Harvard University

(889-98-706)

2:45 p.m. Constructivism and the teaming of mathematics. (395) Carolyn Maher, Rutgers University, New

Brunswick (889-98-685)

3:15p.m. Resistor networks: A research experiences for (396) undergraduates program.

James A. Morrow, University of Washington (889-98-217)

3:45 p.m. Some meaningful, significant, and engaging (397) problems in calculus.

Frank Wattenberg, University of Massachusetts, Amherst (889-98-752)


1404



AMS Special Session on Algebraic Topology and Dynamical Systems, IV

2:15 p.m.-4:05p.m.

2:15p.m. L-S category estimates for central (398) configurations in the N -body problem.

Christopher K. McCord, University of Cincinnati (889-55-221)

2:45 p.m. Periodic points on solvmanifolds. Preliminary (399) report.

Edward Keppelmann, University of Nevada, Reno (889-55-556)

3:15p.m. A numerical algorithm for the computation of (400) the Conley index.

Michael Eldenschlnk, Georgia Institute of Technology (889-58-590)

3:45 p.m. The torsion of a suspension flow. (401) Ross Geoghegan*, State University of New

York, Binghamton, and Andrew Nicos, McMaster University (889-57-409)

AMS Special Session on Singular Boundary Value Problems, Ill

2:15 p.m.-4:05p.m.

2:15p.m. Asymptotic behavior of solutions of boundary (402) blowup problems.

A. C. Lazer*, University of Miami, and P. J. McKenna, University of Connecticut, Storrs (889-35-543)

2:45 p.m. Bifurcation from singular solutions in (403) supercritical elliptic problems.

Renate Schaaf, Utah State University (889-35-704)

3:15p.m. Asymptotic behavior of solutions of a nonlinear (404) singular boundary value problem.

Steven D. Taliaferro, Texas A & M University, College Station (889-35-167)

3:45 p.m. On a singular nonlinear boundary value (405) problem.

A. W. Shaker, Pennsylvania State University, Erie (889-35-01)

AMS Special Session on Operator Theory, Nonself Adjoint Operator Algebras, and Control Theory, IV

2:15 p.m.-4:05p.m.

2:15p.m. The radical conjecture for CSL algebras. (406) Kenneth R. Davidson*, University of Waterloo,

and John L. Orr, University of Nebraska (889-47-67)

2:45 p.m. Orthogonal wavelets and local commutants. (407) Xingde Dai, University of North Carolina at

Charlotte, and David R. Larson*, Texas A&M University, College Station (889-47-144)

3:15p.m. Some results on triangular algebras. (408) John L. Orr, University of Nebraska, Lincoln

(889-16-123)

3:45 p.m. Recent results on structured singular values. (409) Preliminary report.

Hari Bercovlcl, Indiana University, Bloomington (889-47-91)

AMS Special Session on Representation Theory and Harmonic Analysis, IV

2:15 p.m.-4:05p.m.

2:15p.m. The commuting variety and Harish-Chandra's (410) regularity theorem.

Nolan Wallach, University of California at San Diego, La Jolla (889-22-779)

2:55 p.m. Cohomology of flag manifolds and (411) representation theory.

Robert J. Stanton, Ohio State University, Columbus (889-22-747)

3:35 p.m. Ramanujan's master theorem for symmetric (412) cones.

Hongming Ding, University of Louisville, Kenneth I. Gross•, University of Vermont, and Donald St P Richards, University of Virginia (889-22-433)

AMS Special Session on Geometry and Topology of Moduli Spaces, Ill

2:15 p.m.-4:05 p.m.

2:15p.m. The topology of the space of rational maps into (413) generalized flag manifolds.

Charles P. Boyer, University of New Mexico (889-14-120)

2:45p.m. The space of harmonic maps from S2 to CP2 •

(414) T. Arleigh Crawford, McGill University (889-58-44)

3:15p.m. On spaces of holomorphic maps from two (415) copies of the Riemann sphere to complex

Grassmannians. J. W. Havlicek, Michigan State University (889-55-43)

3:45p.m. The moduli space of (l,p)-polarized Abelian (416) surfaces with level structure of canonical type.

Klaus Hulek, Constantin Kahn, University of Hannover, Germany, and Steven H. Weintraub*, Louisiana State University, Baton Rouge (889-14-79)



AMS Special Session on Geometric Applications of Operator Algebras and Index Theory, IV

2:15 p.m.-4:05p.m.

2:15p.m. Deformation quantization for left-invariant (417) Poisson brackets. Preliminary report.

Marc A. Rieffel, University of California, Berkeley (889-46-11 0)

2:45 p.m. Non-commutative geometry and Toeplitz (418) quantization.

Andrzej Lesniewski, Harvard University (889-81-341) (Sponsored by Jerry Kaminker)

3:15p.m. Quantum non-Euclidean geometry. (419) Slawomir Klimek, Indiana University-Purdue

University, Indianapolis (889-46-682)

3:45 p.m. Toeplitz algebras and Rieffel deformations. (420) L. A. Coburn* and J. Xia, State University of

New York, College at Buffalo (889-47-233)

AMS Special Session on Quadratic Forms and Division Algebras, IV

2:15 p.m.-4:05p.m.

2:15 p.m. Extension of orderings on *-fields. Preliminary (421) report.

Thomas C. Craven, University of Hawaii, Honolulu (889-12-343)

2:45 p.m. The real holomorphy ring and sums of powers (422) in commutative rings.

Eberhard Becker, University of Dortmund, Germany, and Victoria Powers*, Emory University (889-11-1 05)

3:15p.m. The higher level real spectrum of a (423) commutative ring. Preliminary report.

Leslie Walter* and Murray Marshall, University of Saskatchewan (889-13-227)

3:45 p.m. An approximation theorem for coarse (424) V -topologies on rings.

Murray A. Marshall, University of Saskatchewan (889-12-104)

AMS Special Session on Wavelets and Their Applications, IV

2:15 p.m.-4:05 p.m.

2:15p.m. Construction wavelets using fractal interpolation ( 425) functions.

G. Donovan, Georgia Institute of Technology, J. S. Geronimo, D.P. Hardin*, Vanderbilt University, and P. R. Massopust, Sam Houston State University (889-41-707)

2:45 p.m. Construction of smooth wavelets using fractal (426) interpolation functions.

J. S. Geronimo*, G. Donovan and Doug Hardin, Georgia Institute of Technology ( 889-41-440)

3:15p.m. Analytic wavelets generated by radial functions. (427) J. Stockier, University Duisburg, Germany, C.

K. Chui and J.D. Ward*, Texas A & M University, College Station (889-41-1 01)

3:45 p.m. Irregular sampling in higher dimensions and (428) multisensor deconvolution.

David F. Walnut, George Mason University (889-42-116)


2:15 p.m.-4:15p.m.

How to make effective use of inexpensive pocket computers to develop the concepts and techniques of calculus. Franklin D. Demana and Bert K. Waits, Ohio State University


2:15 p.m.-4:15p.m.

Unifying themes for discrete mathematics. Ralph P. Grimaldi, Rose-Hulman Institute of Technology


2:15 p.m.-4:15p.m.

The mathematics of the perfect shuffle. S. Brent Morris, National Security Agency


2:15 p.m.-4:15p.m.

Theorist. Donald Hartig, California Polytechnic State University

AMS Session on Measures and Topological Groups

2:15 p.m.-4:10p.m.

2:15p.m. On nicely placed subsets of the real line. (429) Paul E. Fishback, Grand Valley State

University (889-26-483) 2:30p.m. A companion to Strassen's theorem.

(430) Stephen G. Landry, Seton Hall University (889-28-574)

2:45 p.m. Some topological properties of Hamel-bases. (431) Kandasamy Muthuvel, University of

Wisconsin, Oshkosh (889-28-366)

3:00 p.m. Almost periodic compactifications of N -fold (432) semidirect products. Preliminary report.

Hugo D. Junghenn, George Washington University (889-43-328)

3:15p.m. Disjoint closed left ideals in {3S. (433) Patty Anthony, Howard University

(889-22-263)




3:30 p.m. On a new class of infinite dimensional (434) Lie groups and Lie algebras and their

representations. Thamba W. Sesay, University of the District of Columbia (889-22-332)

3:45 p.m. Hopf algebras, Lie algebras and analytic (435) groups. Preliminary report.

Patrick B. Chen*, John Carroll University, and T.S. Wu, Case Western Reserve University (889-22-635)

4:00 p.m. Derived intertwining norms. (436) Christopher Meaney, Macquarie University

(889-22-787)

AMS Session on Computer Science

2:15 p.m.-3:55p.m.

2:15 p.m. A new realization of the Hoare power domain. (445) James B. Hart*, Tennessee State University,

and Constantine Tsinakis, Vanderbilt University (889-68-89)

2:30 p.m. Cellular games. (446) Lenore Levine, University of Illinois,


2:45p.m. The topological fiberwise representation of (447) colored images.

Monique L. Pavel, University of Paris, France (889-68-1 O)

3:00 p.m. Using geometry to solve the transportation (448) problem in the plane.

DavidS. Atkinson*, Western Kentucky University, and Pravin M. Vaidya, University of Illinois, Urbana-Champaign (889-68-726)

3:15p.m. Multi-objective decision making with fuzzy logic. (449) Khaled Abdui-Massih* and Andre Dekorvin,

University of Houston, Downtown (889-90-599)

AMS Session on Convex and Discrete Geometry 3:30 p.m. Programming higher-order functions in

1406

2:15 p.m.-4:10p.m.

2:15p.m. An analogue of Ptolemy's theorem in R". (437) Preliminary report.

Robert J. Gregorac, Iowa State University (889-51-304)

2:30 p.m. Integer antiprisms and integer octahedra. (438) Blake E. Peterson*, Oregon State University,

and James H. Jordan, Washington State University (889-51-623)

2:45p.m. Dihedral angles of n-simplices. (439) Eung Chun Cho, Kentucky State University

(889-51-671)

3:00 p.m. Splitting the parallel axiom. (440) VIctor Pambuccian, University of Michigan,

Ann Arbor (889-51-676)

3:15p.m. Dissections into 1 : 2 rectangles. (441) Charles H. Jepsen, Grinnell College

(889-52-546)

3:30 p.m. Lattice diameters in convex polygons. (442) Preliminary report.

Eberth Alarcon, University of Illinois, Urbana-Champaign (889-52-640) (Sponsored by Kenneth B. Stolarsky)

3:45 p.m. Cobblestone theorems for convex filings. (443) Preliminary report.

Mark J. Nielsen and Jeff D. Almeida*, University of Idaho (889-52-688)

4:00p.m. Partitioning s regular2n-gons {2n} into t (444) congruent oval polygons G(n.g). Preliminary

report. Alan H. Schoen*, Southern Illinois University, Carbondale, and Alan McKshorb, SIU/C in Niigata, Japan (889-52-521)

(450) Mathematics. Vojislav Stojkovic, Morgan State University (889-68-238)

3:45 p.m. Proving the classical theorems of the predicate (451) calculus using PROVER.

Vojislav Stojkovic and Samir Tannouri*, Morgan State University (889-68-237)

AMS Session on Number Theory, I

2:15 p.m.-3:55p.m.

2:15p.m. Congruences relating the Frobenius partition (452) functions ¢rn and c¢m· Preliminary report.

James A. Sellers, Cedarville College (889-11-16)

2:30 p.m. A transformation of a cubic diophantine (453) equation.

Cullen L. Inman, Newton, New Jersey (889-11-382)

2:45 p.m. Fundamental units in cubic orders. (454) Helen G. Grundman, Bryn Mawr College

(889-11-732)

3:00 p.m. Continuous nowhere differentiable functions and (455) algebraic integers.

Vladimir Drobot, San Jose State University (889-11-85)

3:15p.m. Some numerical implications of the Hardy and (456) Littlewood analysis of the 3-primes problem.

Preliminary report. Gove Effinger, Skidmore College (889-11-730)

3:30 p.m. An alternative p-adic gamma function. (457) Cynthia E. Trimble, University of California at

San Diego, La Jolla (889-11-644)

3:45 p.m. On Fermat's last problem. (458) J. E. Hall, Clark Atlanta University (889-11-525)

(Sponsored by Abdulalim A. Shabazz)



AMS Session on Partial Differential Equations, II

2:15 p.m.-3:55p.m.

2:15p.m. Optimal rates of convergence for degenerate (459) parabolic problems.

Jim Rulla*, Arkansas College, and Noel J. Walkington, Carnegie Mellon University (889-35-57)

2:30 p.m. Global existence and nonexistence for (460) degenerate parabolic equations with a nonlocal

forcing. Jeffrey R. Anderson*, Winona State University, Winona, Minnesota, and Keng Deng, University of Southwestern Louisiana (889-35-311)

2:45 p.m. Beyond quenching for degenerate parabolic (461) operators.

P. C. Kong, University of Southwestern Louisiana (889-35-783)

3:00 p.m. On a class of elliptic problems in Rn. (462) Preliminary report.

David G. Costa, University of Nevada, Las Vegas (889-35-322)

3:15p.m. A uniqueness result for certain semi-linear (463) elliptic equations. Preliminary report.

Michael A. Karls, Ball State University (889-35-765)

3:30 p.m. Recovering the impedance from the (464) transmission data using spectral methods.

T. Maheswaran, Dillard University (889-35-593)

3:45 p.m. A Galerkin method for the numerical solution (465) of differential equations using wavelets

constructed via fractal functions. Peter R. Massopust, Sam Houston State University (889-35-1 00)

AMS Session on History of Mathematics

2:15 p.m.-3:40p.m.

2:15p.m. A chronology of the duplicatrix. (466) Daniel E. Otero, Xavier University (889-01-601)

2:30 p.m. AI-Khowarizmi's six problems. (467) Ahlam El-Hage Tannourl, Morgan State


2:45 p.m. Ghiyath ud-din Jamshid Kashanf. Meftah (468) al-hesab.

Mohammad K. Azarian, University of Evansville (889-01-84)

3:00 p.m. Hindu mathematics. Preliminary report. (469) Balkunth P. Ambasht*, Jamuna P. Ambasht,

Columbia, South Carolina, and Sanjay Tiwari, University of Wisconsin, Madison (889-01-454)

3:15p.m. Singular integrals to distributions: From Cauchy (470) to Schwartz. Preliminary report.

John A. Synowlec, Indiana University, Northwest (889-01-38)

3:30 p.m. Euler's concrete foundation for analysis. (471) Mark McKinzie, University of Wisconsin,

Madison, and Curtis Tuckey*, AT&T Bell Laboratories, Naperville, Illinois (889-01-411)

MAA Session on Actuarial Mathematics Education and Research

2:15 p.m.-4:1 0 p.m.

2:15p.m. Dually random actuarial models. (472) John A. Beekman* and Clinton P. Fuelling,

Ball State University (889-00-1000)

2:30 p.m. Dependencies on multi-life risks. (473) Ylbing Wang, Ohio State University, Columbus

(889-00-1 006)

2:45 p.m. A linear asset/liability model. (474) B. F. Wyman, Ohio State University, Columbus

(889-00-1 007)

3:00 p.m. Creating an actuarial science for students. (475) Robert E. Buck, Slippery Rock University of

Pennsylvania (889-00-1 001)

3:15p.m. Actuarial problem solving. (476) Ramona C. Lee, Harrisburg, Pennsylvania

(889-00-1003)

3:30 p.m. SOA courses: Comparisons to other (477) professional examinations and suggestions for

improvement. Donald P. Minassian, Indianapolis, Indiana (889-00-1004)

3:45p.m. An Exam 100 preparation course with a peer (478) tutoring component.

James J. Reynolds, Clarion University of Pennsylvania (889-00-1005)

4:00 p.m. Current issues in actuarial mathematics (479) education: An informal discussion.

James W. Daniel, University of Texas, Austin (889-00-1 002)

MAA Session on Environmental Mathematics, II

2:15 p.m.-3:50p.m.

2:15p.m. A model for municipal recycling including a (480) landfill constraint.

Michael McAsey* and Jannett Highfill, Bradley University (889-00-1 046)

2:40 p.m. Development of a mathematics course for (481) environmental engineers.

Kelley B. Mohrmann, United States Military Academy (889-00-1047)

3:05 p.m. Four-dimensional interpolation of atmospheric (482) observations.

James Pfaendtner, NASA, Goddard Space Flight Center, Maryland (889-00-1 048)

3:30 p.m. The Chesapeake Bay: A bridge to calculus. (483) Ahlam El-Hage Tannourl*, Morgan State

University, and Cindy Hannon, Maryland State Department of Education (889-00-1049)


1408

·······································--



MAA Session on Favorite Nontraditional Calculus Assignments or Projects, II

2:15 p.m.-4:10 p.m.

2:15p.m. Method of steepest descent project for calculus (484) Ill.

Neil Stahl, University of Wisconsin, Fox Valley Center (889-00-1063)

2:30 p.m. Least squares for the Krankheit bottled water (485) company.

Robert W. Vallin, Slippery Rock University of Pennsylvania (889-00-1 065)

2:45 p.m. What is the lowest position of the center of (486) mass of a can of soda?

Aparna W. Higgins, University of Dayton (889-00-1 057)

3:00 p.m. Differential forms and linearity in 2nd year (487) calculus.

Mark Bridger, Northeastern University (889-00-1050)

3:15p.m. Using the DERIVE program to explore r'(1). (488) Jerry A. Johnson, University of Nevada, Reno

(889-00-1 058)

3:30 p.m. First-year calculus students as in-class (489) consultants.

Brian J. Winkel, Rose-Hulman Institute of Technology (889-00-1 068)

3:45p.m. Mortgages and car loans in calculus. (490) Tingxiu Wang, Oakton Community College

(889-00-1 066)

4:00p.m. The Koch snowflake and generalizations: A (491) project for first year calculus students.

Emelie Kenney, Siena College (889-00-1059)

MAA Session on Teaching Mathematics with a Spreadsheet, II

2:15 p.m.-3:50p.m.

2:15p.m. Cornerstone mathematics: A new approach to (492) introductory courses.

Jan 0. Case, Samford University (889-00-1207)

2:40 p.m. Mathematics tutorial calculus I. (493) Roosevelt Gentry, Jackson State University

(889-00-1212)

3:05 p.m. Building concrete bridges to the abstract. (494) John M. Kellett, Gettysburg College

(889-00-1214)

3:30 p.m. Recursion in combinatorics with spreadsheets. (495) Erich Neuwirth, Vienna University,

(889-00-1215)


2:15 p.m.-4:10p.m.

Creating a climate for change-math leads the way. Moderator: Martha J. Siegel, Towson State University Panelists: Jerry L. Bona, Pennsylvania State University

Marjorie Enneking, Portland State University Joan Ferrini-Mundy, University of New Hampshire Genevieve M. Knight, Coppin State College Kenneth C. Millett, University of California, Santa Barbara

MAA CUPM Subcommittee on Assessment Open Forum

2:15 p.m.-4:10 p.m.

Guidelines for an effective assessment program for the undergraduate major.

MAA CUPM Subcommittee on Undergraduate Research in Mathematics, Council on

Undergraduate Research and the Committee on Student Chapters Poster Session

2:15 p.m.-4:1 0 p.m.

Research by undergraduate students. Organizer: John Greever, Harvey Mudd College

AMS Invited Address

3:20 p.m.-4:10p.m.

(496) The fundamental role of solitons in nonlinear dispersive POE's. James M. Hyman, Los Alamos National Laboratory (889-00-905)

Joint Prize Session

4:25 p.m.-5:45 p.m.

MAA Session on Restructuring Teaching and Learning in Linear Algebra, II

6:30 p.m.-8:15 p.m.

6:30 p.m. Supercalculators in linear algebra. (497) Donald R. LaTorre, Clemson University

(889-00-1192) 6:55p.m. MATLAB and e-mail in a linear algebra course.

(498) Gilbert Strang, Massachusetts Institute of Technology (889-00-1203)



7:20 p.m. A reformed introductory linear algebra course. (499) John G. Harvey, University of Wisconsin,

Madison (889-00-1186) 7:40 p.m. Laboratory exercises with difference equations.

(500) Thomas W. Polaski, Winthrop University (889-00-1198)

8:00 p.m. Linear algebra technology and the long-distance (501) learner.

Ellen Cunningham, Saint Mary of the Woods College (889-00-1179)

JPBM and the Science Policy Committees of AMS, MAA, and SIAM Invited Address

7:00 p.m.-8:00 p.m.

(502) Title to be announced. Neal Lane, National Science Foundation

Calculus Reform Workshop Reunion

7:00 p.m.-8:15p.m.

Calculus reform workshop reunion.

Organizer: Donald B. Small, United States Military Academy


7:00 p.m.-8:00 p.m.

Life after retirement.

Organizer: Andrew Sterrett, Jr., Mathematical Association of America

MAA General Session

7:15 p.m.-8:15 p.m.

Humanistic math network informal gathering.

Friday, January 14

AMS Special Session on History of Mathematics, II

8:00 a.m.-10:45 a.m.

8:00 a.m. Origins of the analysis of algorithms. (503) Jeffrey Shallit, University of Waterloo

(889-01-21) 8:30 a.m. Dedekind's free creations of the human mind.

(504) Louise Ahrndt Golland, University of Chicago (889-01-68)

9:00 a.m. Combinatorics in the Middle Ages. Preliminary (505) report.

Victor J. Katz, University of the District of Columbia (889-01-340)

9:30 a.m. The Cambridge mathematical physicists, (506) 1820-1840.

Thomas Archibald, Acadia University (889-01-479)

10:15 a.m. Ethnomathematics and the history of (507) mathematics.

Ublratan D'Ambrosio, Universidade Estadual de Campinas, Sao Paolo, Brazil (889-01-163)

AMS Special Session on C*-algebras and von Neumann Algebras, I

8:00 a.m.-10:50 a.m.

8:00 a.m. On the classification of simple C* -algebras. (508) George A. Elliott, University of Copenhagen,

Denmark (889-46-42)

9:00 a.m. Almost commuting unitaries and purely infinite (509) simple C*-algebras.

Huaxln Lin, State University of New York, Buffalo (889-46-61)

9:30a.m. C*-algebras generated by stable relations. (510) Terry A. Loring, University of New Mexico

(889-46-182)

10:00 a.m. Averaging techniques in C* -coactions. (511) Preliminary report.

John C. Quigg, Arizona State University (889-46-50)

10:30 a.m. On the classification of infinite simple (512) C*-algebras.

Mlkael Rordam, Odense University, (889-47-60)

AMS Special Session on Quasiconformal Mappings in Analysis, I

8:00 a.m.-10:50 a.m.

8:00 a.m. On the minimum modulus of functions of order (513) 1.

David Drasin, Purdue University, West Lafayette (889-30-654)

8:30 a.m. On the value distribution of quasimeromorphic (514) mappings. Preliminary report.

Juha Heinonen, University of Michigan, Ann Arbor, and John F. Rossi*, Virginia Polytechnic Institute and State University (889-30-25) (Sponsored by David A. Herron)

9:00 a.m. Symmetrization and the p-Laplace operator. (515) Preliminary report.

Albert Baernstein, II, Washington University (889-35-28)

9:30 a.m. Conformal mapping of long quadrilaterals. (516) Richard Laugesen, University of Michigan, Ann

Arbor (889-30-20)


..... ___ _ Program of the Sessions

Friday, January 14 (cont'd)

1 0:00 a.m. Poincare inequalities, p-capacity and (517) quasiminimal. Preliminary report.

Juan J. Manfredi*, University of Pittsburgh, Pittsburgh, and Emanuele DiBenedetto, Northwestern University (889-30-407)

1 0:30 a.m. Linde/6f's theorem for monotone Sobolev (518) functions. Preliminary report.

Juan J. Manfredi, University of Pittsburgh, Pittsburgh, and Enrique Vlllamor*, Florida International University (889-31-319)

AMS Special Session on Modern Methods in Continuum Theory, I

8:00 a.m.-10:50 a.m.

8:00a.m. Inverse limits on [0, 1] using tent maps and (519) certain other piecewise linear bonding maps.

William T. Ingram, University of Missouri, Rolla (889-54-342)

8:30 a.m. Indecomposable arc-continua and 2-to-1 maps. (520) Jo Heath, Auburn University, Auburn

(889-54-214)

9:00 a.m. On composants of indecomposable subcontinua (521) of surfaces.

Z. Karno, University of Warsaw, Bialystok, Poland (889-54-317)

9:30 a.m. Homeomorphisms of inverse limit spaces of (522) one-dimensional maps.

Marcy Barge, Montana State University, and Beverly Diamond*, College of Charleston (889-54-234)

10:00 a.m. An inverse system approach to Menger (523) manifolds.

Kazuhlro Kawamura, University of Saskatchewan (889-54-154)

10:30 a.m. Rigid continua and embeddings. (524) Wayne Lewis, Texas Tech University

(889-54-155)

9:30 a.m. Preconditioning CGS methods for Newton (528) iteration solutions of c F D problems.

John H. George, Embry-Riddle Aeronautical University (889-65-n5)

10:00 a.m. Numerical constrained optimization methods. (529) John Gregory* and Cantlan Lin, Southern

Illinois University (889-49-62)

10:30 a.m. Quasilinearization and monotone iterates. (530) Preliminary report.

S. Leela, State University of New York, College at Geneseo (889-34-380)

AMS Special Session on Nonlinear Partial Differential Equations and Applications, I

8:00 a.m.-10:50 a.m.

8:00 a.m. Reactive flows in porous media: Applications (531) and rigorous results.

John Chadam, McMaster University (889-35-576)

8:30 a.m. Study of global solutions of parabolic equations (532) via a priori estimates.

Gary M. Lieberman, Iowa State University (889-35-792)

9:00 a.m. Nonstationary filtration in partially saturated (533) porous media.

Xlnfu Chen, University of Pittsburgh, Pittsburgh (889-35-658)

9:30 a.m. The recovery of a coefficient in a parabolic (534) equation using multiple sources.

Bruce Lowe and William Rundell*, Texas A & M University, College Station (889-35-629)

1 0:00 a.m. Pontryagin maximum principle for parabolic (535) PDEs with pointwise state constraint.

Bel Hu*, University of Notre Dame, and Jlongmln Yong, Fudan University, People's Republic of China (889-35-1 02)

1 0:30 a.m. Optimal control for competing coalitions. (536) Suzanne Lenhart, University of Tennessee,

Knoxville (889-35-236)

AMS Special Session on Scientific Computing, I MAA Minicourse #1 0: Part A

1410

8:00 a.m.-10:50 a.m.

8:00 a.m. Control of local error stabilizes integrations. (525) L. F. Shampine* and A. Witt, Southern

Methodist University, Dallas (889-65-159) (Sponsored by Seenith Sivasundaram)

8:30 a.m. Dynamic systems on time scales and (526) superfinear convergence of iterative process.

V. Lakshmlkantham, Florida Institute of Technology (889-65-485)

9:00 a.m. Nonstandard finite-difference schemes for (527) reaction-diffusion equations.

Ronald E. Mickens, Clark Atlanta University, Georgia (889-65-17)

8:00 a.m.-10:00 a.m.

q-dimensional dynamical systems and chaos. Mario U. Martelli, California State University, Fullerton

MAA Minicourse #11 : Part A

8:00 a.m.-1 0:00 a.m.

HP 48 teaming environments for experienced users. Lynn E. Garner, Brigham Young University




8:00 a.m.-10:00 a.m.

Creating order out of chaos in freshman mathematics. Wade Ellis, Jr., West Valley College


8:00 a.m.-10:00 a.m.

'Workshop" mathematics: using new pedagogy and technology in introductory mathematics courses. Nancy Hood Baxter and Allan Rossman, Dickinson College

AMS Session on Fluids, Electromagnetic Theory, and Biology

8:00 a.m.-9:55 a.m.

8:00 a.m. On transport of radionuclides in fractured (537) porous media.

A. K. Singh*, H. Bowman, University of Nevada, Las Vegas, and G. S. Singh, ADI, Inc., Socorro, New Mexico (889-76-598)

8:15a.m. Two-layer flows past a semi-circular obstruction. (538) Preliminary report.

Huyun Sha* and J.M. Vanden-Broeck, University of Wisconsin, Madison (889-76-709)

8:30 a.m. Results for a discrete velocity gas model for (539) coagulation and fragmentation.

M. lkle, University of Nevada, Las Vegas (889-82-697)

8:45 a.m. The Gaussian Maxwell equations. (540) Domina Eberle Spencer*, Philip J. Mann,

University of Connecticut, Storrs, and Uma Y. Shama, Bridgewater State College (889-78-502)

9:00 a.m. The divergence and curl of the Gaussian (541) electromagnetic force field.

Uma Y. Shama*, Bridgewater State College, Domina Eberle Spencer and Philip J. Mann, University of Connecticut, Storrs (889-78-503)

9:15a.m. Modelling of surface reactions. (542) Timothy R. Ray*, Southern Missouri State

University, and James Evans, Iowa State University (889-80-695)

9:30 a.m. Incorporating concurrent partnerships into (543) models of sexually transmitted diseases.

David Tudor*, Synthelabo Recherche, France, and Klaus Dietz, University Tiiebingen, Germany (889-92-132)

9:45 a.m. Modelling perception. (544) Prem N. Bajaj, Wichita State University

(889-03-363) (Sponsored by Kenneth G. Miller)

MAA Session on Mathematics and Music, I

8:00 a.m.-10:40 a.m.

8:00 a.m. Introductory remarks, Robert Lewand

8:05 a.m. Mathematics and the music of Martin Agricola. (545) Raymond N. Greenwell, Hofstra University

(889-00-1074)

8:25 a.m. A measure of the reasonableness of (546) equal-tempered musical scales.

Jack Douthett, Albuquerque Technical Vocational Institute, and Richard Krantz*, University of Colorado, Denver (889-00-1 078)

8:45 a.m. The glass bridge between mathematics and (547) music.

Satish C. Bhatnager, University of Nevada, Las Vegas (889-00-1 071)

9:05 a.m. The musical image of mathematical structure: (548) The Klein 4-group in Milton Babbitt's Three

Compositions for Piano. Lawrence Fritts, University of Chicago (889-00-1 072)

9:25 a.m. Musical inversions and geometric (549) transformations in the music of the Classical

era. David Masunaga, lolani School, Hawaii (889-00-1 082)

9:45 a.m. Music in math classes: A sound lesson. (550) Larry Lesser, St. Edward's University

(889-00-1 080)

10:05 a.m. Mozart piano sonatas and the Golden Section. (551) John Putz, Alma College (889-00-1084)

10:25 a.m. Surialism. (552) Robert Edward Lewand, Goucher College

(889-00-1 081)

MAA Session on New Methods for Teaching Elementary Differential Equations, I

8:00 a.m.-11 :00 a.m.

8:00 a.m. Differential equations as a capstone for (553) freshman calculus.

Joseph D. Myers, United States Military Academy (889-00-11 00)

8:20 a.m. A large enrollment computer intensive (554) differential equations course.

William E. Boyce, Rensselaer Polytechnic Institute (889-00-1090)

8:45 a.m. Differential equations: A technological (555) approach.

Martha L. Abell* and James P. Braselton, Georgia Southern University (889-00-1 086)

9:10a.m. Interactive computer graphics changes the role (556) of the introductory differential equations course.

Beverly H. West, Cornell University (889.-00-11 07)

9:35 a.m. Differential equations from a new perspective. (557) Leonard Putnick* and Thomas Rousseau,

Siena College (889-00-1104)

9:55 a.m. Two-compartment pharmacokinetics. (558) Edward L. Spitznagel, Washington University

(889-00-11 05)

10:15 a.m. Technology and cooperative learning in (559) teaching ordinary differential equations.

Fred Barber* and Jack Narayan, State University of New York, College at Oswego (889-00-1088)


1412



10:40 a.m. Ordinary differential equations enhanced by (560) MATLAB at Rice University.

John C. Polking, Rice University (889·00·1102)

MAA Session on Reassessing Discrete Mathematics in the First Two Years, I

8:00 a.m.-10:50 a.m.

8:00 a.m. A split two semester discrete mathematics (561) sequence.

Robert C. Mers* and Thomas G. Clarke, North Carolina A & T State University (889-00-1118)

8:25 a.m. Discrete dynamical systems-linking high (562) school to college mathematics.

Richard D. West, United States Military Academy (889-00-1122)

8:50 a.m. Using discrete dynamical systems in core (563) probability & statistics.

William P. Fox, United States Military Academy (889-00-111 0)

9:15a.m. A revolutionary approach to discrete math: (564) Teaching logic as a tool.

David Gries* and Fred B. Schneider, Cornell University (889-00-1112)

9:40 a.m. A structured approach to teaching proof-writing. (565) Daniel J. Velleman, Amherst College

(889-00-1121)

10:05 a.m. Laboratory for a foundations of computer (566) science course.

Peter B. Henderson, State University of New York, Stony Brook (889-00-1113)

10:30 a.m. Discrete mathematics: Constructivism and (567) computers.

William Fenton, Bellarmine College (889-00-11 09)

MAA Session on Restructuring the Mathematical Preparation of Teachers, I

8:00 a.m.-10:35 a.m.

8:00a.m. Sylvanus Thayer, professional teaching (568) standards, and change in the education of

teachers of mathematics. John A. Dossey, US Military Academy (889-00-1156)

8:20 a.m. Changing attitudes and perspectives of (569) pre-service elementary and middle school

teachers. Leonard J. Lipkin, University of North Florida (889-00-1165)

8:40 a.m. Improving the effectiveness of university (570) mathematicians at teacher preparation.

Elizabeth Yanik* and Joe Yanik, Emporia State University (889-0Q-1171)

9:00 a.m. The mathematics preparation of elementary (571) teachers.

Charles Burnap, Alan Lambert, Miriam Leiva* and Barnet Weinstock, University of North Carolina, Charlotte (889-00-1164)

9:20 a.m. A problem centered approach to geometry for (572) prospective teachers.

Steven Blumsack* and Jenny Ehrlich, Florida State University (889-00-1155)

9:40 a.m. Impediments to improvement in the pre-service (573) mathematics training of elementary and middle

school teachers, and possible remedies. Sol Garfunkel, COMAP Incorporated, and Gall S. Young*, Peekskill, New York (889-00-1172)

10:00 a.m. Conceptions of mathematics teaching and (574) teaming: The critical need for change.

Donna H. Foss, University of Central Arkansas (889-00-1158)

10:20 a.m. Integrated mathematics and science computer (575) instruction for teachers.

Joan Ealey Sawyer* and Bonita Alick, Clark Atlanta University (889-00-1169)

AMS TEX Presentation

8:00 a.m.-10:55 a.m.

MAA Subcommittee on Calculus Reform and the First Two Years (CRAFTY) and the Calculus

Reform Study Group Poster Session

8:00 a.m.-10:55 a.m.

Calculus projects maturing-a chance to see what is emerging.


8:00 a.m.-9:20 a.m.

Issues in implementing the MAAIAMATYC guidelines.

Organizer: James R. C. Leitzel, University of Nebraska

Marilyn E. Mays, North Lake College

Panelists: John D. Fulton, University of Missouri, Rolla

Philip A. DeMarois, William Rainey Harper College


8:00 a.m.-9:20 a.m.

Writing in mathematics courses: a maturing discipline.

Organizer: Thomas W. Rishel, Cornell University

Panelists: Thomas H. Barr, Rhodes College

John E. Meier, Lafayette College

Richard G. Montgomery, Southern Oregon State College



AMS Session on Education

8:30 a.m.-10:40 a.m.

8:30 a.m. Postmodern mathematical experiences for (576) students.

Susan L. Addington, California State University, San Bernardino (889-01-115)

8:45 a.m. The knower: The missing link in education. (577) Catherine A. Gorini, Maharishi International


9:00 a.m. An advanced mathematics course using (578) Mathematica and T£5X. Preliminary report.

S. W. Graham, Michigan Technological University (889-98-112)

9:15a.m. Teaching the Smarandache function to the (579) American competition students.

T. Yau, Number Theory Association, Tucson, Arizona (889-98-1 07)

9:30 a.m. Teaching and learning about limits with a (580) graphics calculator.

Morteza Shafli-Mousavi, Indiana University, South Bend (889-98-362)

9:45 a.m. What is interesting and challenging about (581) computing total volume of the spheres?

Robert Kreczner, University of Wisconsin, Stevens Point (889-98-544)

10:00 a.m. Small groups for general student audiences 2. (582) Preliminary report.

Alchard J. Maher, Loyola University of Chicago (889-98-456)

10:15 a.m. Motivational techniques for teaching college (583) mathematics. Preliminary report.

S. Rummel* and D. Rummel, Black Hills State University (889-98-662)

10:30 a.m. My summer experience. (584) Kazem Mahdavi, State University of New York,

College at Purchase (889-98-664)

AMS Special Session on Undergraduate Research in Mathematics, I

8:40 a.m.-10:55 a.m.

8:40a.m. Graphs representable modulo n: Cases (585) involving nearly complete graphs.

Darren A. Narayan, State University of New York, Binghamton (889-05-373) (Sponsored by David C. Carothers)

9:00 a.m. Wavelets, dilation equations, and fixed-point (586) iterations.

Ronald Winn, Stephen F. Austin State University (889-42-176) (Sponsored by Walter B. Richardson)

9:20 a.m. Lower bounds on the spread of Hermitian (587) matrices. Preliminary report.

Matthew B. Rudd, Wake Forest University (889-15-256)

9:40 a.m. Path-sequentiallabellings of cycles. (588) Jeffrey M. VanDerkam, Durham, North

Carolina (889-05-507) (Sponsored by Joseph A. Gallian)

10:00 a.m. Finite groups can be arbitrarily Hamiltonian. (589) Stephen Ahearn, Grinnell College, and Mark

Huber*, Harvey Mudd College (889-20-270) (Sponsored by Gary J. Sherman)

10:20 a.m. Wavelets and sparse matrices. (590) Marla Eason, Hendrix College (889-42-177)

(Sponsored by Dwayne W. Collins)

10:40 a.m. Threshold functions for Sidon sequences. (591) Rebecca L. Rapoport, Harvard University, and

Nicholas W. Locantore, Jr.*, Trenton State College (889-60-202)

AMS Invited Address

9:00 a.m.-9:50 a.m.

(592) Carmichael numbers. Carl Pomerance, University of Georgia (889-00-906)

AMS Special Session on Stochastic Analysis, I

9:00 a.m.-10:50 a.m.

9:00 a.m. Response behavior of dynamical systems with (593) stochastic excitation.

Fritz Colonius, University of Augsburg, Germany, and Wolfgang Kliemann*, Iowa State College, Ames (889-60-729)

9:30 a.m. Existence and identification of optimal Markov (594) controls.

Thomas G. Kurtz, University of Wisconsin, Madison, and Richard H. Stockbridge*, University of Kentucky (889-60-416)

10:00 a.m. Mass transport by Stochastic flows. (595) Erhan Clnlar*, Princeton University, and Craig

L. Zirbel, University of Minnesota, Minneapolis (889-60-499)

1 0:30 a.m. Numerical solutions to reflected diffusion (596) processes.

Ylngjle Liu, University of Pennsylvania (889-60-484)

AMS Special Session on Topology of High Dimensional Manifolds, I

9:00 a.m.-10:50 a.m.

9:00 a.m. Dimension-raising actions of compact groups. (597) A. N. Dranlshnikov and J. E. West*, Cornell


9:30 a.m. Extension theory. Preliminary report. (598) Jerzy Dydak, University of Tennessee,

Knoxville (889-57-208)

10:00 a.m. A variant of Sternfeld's counterexample to a (599) conjecture of Chogoshvili.

Fredric D. Ancel, University of Wisconsin, Milwaukee, and Tadeusz Dobrowolski*, University of Oklahoma (889-57-773)


1414



10:30 a.m. Cell-like images of topological manifolds. (600) A. N. Dranishnikov*, Cornell University, and

S. Ferry, State University of New York, Binghamton (889-57-231)


9:30 a.m.-10:55 a.m.

Aspects of humanistic mathematics.

Moderator: Alvin M. White, Harvey Mudd College

Panelists: Jack V. Wales, The Thacher School in California

Joan Countryman, Lincoln School in Providence

Tom Tymoczko, Smith College

MAA-AMATYC Hearing on Precalculus Reform

9:30 a.m.-10:55 a.m.

Project on standards for two-year college and lower division mathematics below the level of calculus.

Organizer: Marilyn E. Mays, North Lake College

Panelists: Linda H. Boyd, DeKalb College

Dale E. Ewen, Parkland College

Harvey B. Keynes, University of Minnesota

James R. C. Leitzel, Mathematical Association of America

Karen Sharp, Mott Community College

AMS Invited Address

10:05 a.m.-10:55 a.m.

(601) Wavelets, filters, and unitary matrices. Gilbert Strang, Massachusetts Institute of Technology (889-00-907)


11:10 a.m.-noon

(602) Some propositions from Newton's principia. Subrahmanyan Chandrasekhar, Lab Astrophys & Space Research and University of Chicago (889-00-901)

AMS Business Meeting

12:10 p.m.-12:50 p.m.

AMS Colloquium Lectures: Lecture Ill

1 :00 p.m.-2:00 p.m.

(603) Harmonic analysis and nonlinear evolution equations. Jean Bourgain, University of Illinois, Urbana-Champaign

AMS Special Session on History of Mathematics, Ill

1 :00 p.m.-3:05 p.m.

1:00 p.m. Calculus of variations in the late 19th century: (604) The introduction of fields of extremals.

Craig G. Fraser, University of Toronto (889-01-435) (Sponsored by Julius A. Archibald)

1 :30 p.m. E. T. Bell and the history of mathematics. (605) Constance Reid, San Francisco, California

(889-01-160) (Sponsored by Victor J. Katz)

2:15p.m. Complex dynamics from Schroder to Fatou and (606) Julia.

DanielS. Alexander, Drake University (889-01-157)

2:45 p.m. Abel's theorems on the convergence of power (607) series.

Harold M. Edwards, New York University-Courant Institute (889-01-166)

AMS Special Session on Undergraduate Research in Mathematics, II

1 :00 p.m.-5:55 p.m.

1 :00 p.m. Sums of lattice homomorphisms and (608) multiplicative transformations on C([a, b]).

Damen V. Peterson, Alma College, and Julie A. Sety*, Eastern Washington University (889-47-488) (Sponsored by David C. Carothers)

1 :20 p.m. Critical points of knots in 4 dimensions. (609) Jeff L. Boersema, University of Oregon, and

Erica J. Taylor*, University of Texas, Austin (889-57-318) (Sponsored by Gerard A. Venema)

1 :40 p.m. Wavelets: an application to differential (610) equations.

Rhett Guthrie, Tarleton State University (889-42-175) (Sponsored by Walter B. Richardson)

2:00 p.m. Do perfect square roots of finite groups exist? (611) Daniel Grossman, Harvard University, and

Kashi Abhyankar*, Purdue University, West Lafayette (889-20-272) (Sponsored by Gary J. Sherman)

2:20 p.m. Graphs that are randomly traceable from a (612) vertex.

Daniel Isaksen, Calabasas, California (889-05-417)



2:40 p.m. Reasonable allocations for cooperative games. (613) Preliminary report.

Luz E. Pinzon, Rutgers University, New Brunswick (889-90-152) (Sponsored by David C. Carothers)

3:00 p.m. Effective convex dependence in recursively (614) enumerable vector spaces.

Thomas A. Nevins, University of Chicago (889-03-428)

3:20 p.m. E"or analysis of the boundary element method. (615) Vrej Zarlklan, Orlando, Florida (889-65-171)

3:40 p.m. A new look at the asymptotic lower bound for (616) the classical diagonal Ramsey numbers.

Rachel A. Sunley*, Amherst College, and Daphne E. Skipper, University of the South (889-60-201)

4:00 p.m. Exact n-step domination. (617) Patricia L. Hersh, Cambridge, Massachusetts

(889-05-657) (Sponsored by Joseph A. Gallian)

4:20 p.m. Norms of Hadamard multipliers. (618) Elizabeth A. Sexauer*, University of Richmond,

and Heather J. Woolf, Purdue University, West Lafayette (889-15-117) (Sponsored by Carl C. Cowen)

4:40 p.m. Dedekind and Estermann sums. Preliminary (619) report.

Clayton Scott, Oklahoma School of Science & Mathematics, J. Brian Conrey, Eric Fransen* and Robert M. Klein, Oklahoma State University, Stillwater (889-11-420) (Sponsored by Lisa Mantini)

5:00p.m. Slow hydromagnetic waves in the earth's outer (620) core.

Edward Zaldivar* and Steven D. London, University of Houston-Downtown (889-76-758)

5:20 p.m. The orbits of curvilinear data under motions of (621) the projective plane.

Susan Jane Colley, Oberlin College, Gary Kennedy, Ohio State University, Mansfield, lan B. Robertson, University of Chicago, and Susan J. Sierra*. University of Michigan, Ann Arbor (889-14-220)

5:40 p.m. A note on the traveling salesman problem. (622) Preliminary report.

Laura Ray Horsley, Brigham Young University (889-90-257) (Sponsored by Earl R. Barnes)

AMS Special Session on Meetings of Mathematicians, I

1 :00 p.m.-4:50 p.m.

1:00 p.m. 1894 and beyond. Early meetings. (623) Everett Pitcher, Lehigh University (889-01-478)

1:30 p.m. Contributions of the 1893 Columbian exposition (624) to mathematics.

G. Baley Price, Lawrence, Kansas (889-01-306)

2:00 p.m. Come to the fair: The Chicago Mathematical (625) Congress of 1893.

Karen Parshall*, University of Virginia, and David E. Rowe, Universitat Mainz, Germany (889-01-302)

2:30 p.m. A century of progress in mathematics. (626) Rogers J. Newman, Southern University, New

Orleans (889-01-614)

3:30 p.m. Some mathematicians I have met. (627) Dirk J. Struik, Massachusetts Institute of

Technology (889-01-610)

4:00 p.m. Travel and study in Europe in the mid-thirties. (628) Wilfred Kaplan, University of Michigan, Ann

Arbor (889-01-611)

4:30 p.m. Mathematicians I have known. (629) Paul K. Rees, Baton Rouge, Louisiana

(889-01-305)

AMS Special Session on C*-algebras and von Neumann Algebras, II

1 :00 p.m.-5:50 p.m.

1 :00 p.m. Projectivity, transitivity and AF-telescopes. (630) Terry A. Loring, University of New Mexico, and

Gert K. Pedersen*, University of Copenhagen, Denmark (889-46-235)

2:00 p.m. UHF algebras do not have property (FS). (631) N. Christopher Phillips, University of Oregon

(889-46-94)

2:30 p.m. On the existence of quasi-diagonal extensions (632) of c;(F2).

Alexander Kaplan, Wright State University, Dayton (889-46-183)

3:00 p.m. K -theory for partial crossed products by (633) discrete groups. Preliminary report.

Kevin McClanahan, University of Mississippi (889-47-41)

3:30 p.m. One dimensional almost periodic filings and (634) C*-algebras.

James A. Mingo, Queen's University (889-46-533)

4:00 p.m. Rapid decay spaces and cyclic cohomology. (635) Preliminary report.

Ronghul Jl*, Indiana Univ-Purdue University at Indianapolis, and Guollang Yu, University of Colorado, Boulder (889-46-412)

4:30 p.m. Harmonic analysis of fractal measures. (636) Palle E.T Jorgensen, University of Iowa

(889-42-95)

5:00 p.m. Does God throw dice? (637) Xiaolu Wang, University of Maryland, College

Park (889-46-455)

5:30 p.m. Non-stable K -theory of extremely rich (638) C* -algebras.

Lawrence G. Brown, Purdue University, West Lafayette (889-46-58)

AMS Special Session on Quasiconformal Mappings in Analysis, II

1 :00 p.m.-4:20 p.m.

1 :00 p.m. Higher integrability property of the volume (639) forms.

Tadeusz lwanlec, Syracuse University (889-30-757)


1416

--~~-~mmrnltProgram of the Sessions


1 :30 p.m. The boundary absolute continuity of a (640) quasiconformal mapping. Preliminary report.

Juha Heinonen, University of Michigan, Ann Arbor (889-30-794)

2:00 p.m. Ax -condition for the Jacobian of a (641) quasiconformal mapping. Preliminary report.

Juha Heinonen and Pekka Koskela*, University of Michigan, Ann Arbor (889-30-27)

2:30 p.m. Uniformly perfect sets, Green's function, and (642) fundamental domains.

Marla Jose Gonzalez, University of Washington (889-30-308)

3:00p.m. Quasiconformal mappings and rectifiability. (643) Paul MacManus, University of Texas, Austin

(889-30-756)

3:30 p.m. Limit sets of Fuchsian groups. (644) Lesley Ward, Yale University (889-30-463)

4:00 p.m. Harmonic and maximal measure on attractive (645) components of rational function.

Z. Balogh and A. Volberg*, Michigan State University (889-30-651)

AMS Special Session on Modern Methods in Continuum Theory, II

1 :00 p.m.-5:50 p.m.

1 :00 p.m. Essential plan of simple closed curves. (646) Marcy Barge* and Richard Swanson,

Montana State University (889-54-153)

1 :30 p.m. The hyperspace of Peano continua in Euclidean (647) spaces. Preliminary report.

R. Cauty, Paris, France, T. Dobrowolski, University of Oklahoma, H. Gladdines* and J. van Mill, Vrije University, (889-54-728)

2:00 p.m. Indecomposable continua and critical points on (648) the boundaries of Siegel disks. Preliminary

report. James T. Rogers, Jr., Tulane University (889-57-72)

2:30 p.m. Arithmetical tools in the theory of the pseudoarc (649) and related continua.

Jerzy Mioduszewski, Katowice, Poland (889-54-212)

3:00 p.m. The topology of attractors. (650) Judy Kennedy, University of Delaware

(889-54-73)

3:30 p.m. Accessibility of points in chainable continua. (651) Preliminary report.

John C. Mayer, University of Alabama, Birmingham (889-54-289)

4:00 p.m. Words and span-zero continua. (652) Wojciech Debski, University of Saskatchewan

(889-54-377) (Sponsored by Krystyna M. Kuperberg)

4:30p.m. Nobeling space and Menger curve (653) pseudo-interior.

A. Chlgogldze, K. Kawamura and E. D. Tymchatyn*, University of Saskatchewan (889-54-31 0)

5:00 p.m. Inverse limit spaces and the fixed point (654) property.

M. M. Marsh, California State University, Sacramento (889-54-296)

5:30 p.m. Problems about Peano continua. (655) Sam B. Nadler, Jr., West Virginia University

(889-54-326)

AMS Special Session on Stochastic Analysis, II

1 :00 p.m.-4:50 p.m.

1 :00 p.m. Averaging stochastically perturbed Hamiltonian (656) systems.

Federico Marchetti, University of Torino, Italy, and Thomas G. Kurtz*, University of Wisconsin, Madison (889-60-198)

1 :30 p.m. A unified approach to stochastic stability. (657) Mark Pinsky, Northwestern University

(889-60-54)

2:00 p.m. Martingale representation and martingale (658) inequalities in noncommutative stochastic

analysis. Preliminary report. Eric Carlen*, Georgia Institute of Technology, and Paul Kree, University of Paris VI, France (889-60-383)

2:30 p.m. An extension of lt6's formula. Preliminary report. (659) Philip Protter, Purdue University, West

Lafayette (889-60-384)

3:00p.m. Optimal drift on [0. 1]. (660) Susan Lee, Cornell University (889-60-385)

3:30 p.m. Anticipating Stochastic differential equations. (661) Preliminary report.

Arturo Kohatsu-Higa, University of Puerto Rico, Mayaguez (889-60-07)

4:00 p.m. Degenerate stochastic differential equations and (662) hypoelliptic operators.

Denis R. Bell*, University of North Florida, and Salah-E A. Mohammed, Southern Illinois University, Carbondale (889-60-372)

4:30p.m. Martingale inequalities and applications to (663) singular integrals.

Rodrigo Banuelos*, Purdue University, West Lafayette, and Gang Wang, DePaul University (889-60-314)

AMS Special Session on Scientific Computing, II

1 :00 p.m.-5:00 p.m.

1 :00 p.m. Computational mathematical aspects of a (664) co-polymerization problem.

George D. Byrne, Southern Methodist University (889-65-751)

1 :30 p.m. Greedy Lagrangians for neural networks. (665) Willard L. Miranker* and Eric Mjolsness, Yale



·· rmrrr Ill Program of the Sessions

2:00p.m. (666)

2:30p.m. (667)

3:00p.m. (668)

3:30p.m. (669)

4:00p.m. (670)

4:30p.m. (671)

An algorithm for the generalized symmetric tridiagonal eigenproblem. Kuiyuan Li*, University of West Florida, Tien-Yien Li, Michigan State University, and Zhonggang Zeng, Northern Illinois University (889-65-1 08) An inequality sorting algorithm for a class of linear programming problems. s. Sivasundaram, Embry-Riddle Aeronautical University (889-15-718)

Numerical solution to boundary value problems. Preliminary report. G. s. Ladde, University of Texas, Arlington, N. Medhin and M. Sambandham*, Clark Atlanta University (889-65-323)

fnvariance properties of certain norms. Rohan Hemasinha, University of West Florida (889-15-529) Paradigm of recurrent refractory neural networks s. K. Altyen, Texas A & M University, College Station (889-65-797) (Sponsored by Seenith Sivasundaram) Fractal stochastic neural systems. M. K. Habib, George Mason University (889-65-798) (Sponsored by Seenith Sivasundaram)

AMS Special Session on Nonli~ear. Partial Differential Equations and Apphcat1ons, II

1 :00 p.m.-4:50 p.m.

1:00 p.m. (672)

1:30 p.m. (673)

2:00p.m. (674)

2:30p.m. (675)

3:00p.m.

3:30p.m. (676)

4:00p.m. (677)

4:30p.m. (678)

Unique determination of cracks in 3-dimensiona/ bodies. Preliminary report. Giovanni Alessandrini, University of Trieste, Italy, and Emanuele DiBenedetto*, Northwestern University (889-35-7 45)

Mathematical problems in the solidification of alloys. G. Caginalp, University of Pittsburgh, Pittsburgh (889-35-677)

Interaction of diffusive and nondiffusive phases. lvar Stakgold, University of Delaware (889-35-297) semiconductor equations and related problems. Walter Allegretto*, Hong Xle, University of Alberta, and Shixln Yang, Xiamen University, People's Republic of China (889-35-369)

Break Finite extinction time for the solution of the porous medium equation with mixed boundary conditions. Mark E. Oxley* and Alan V. Lair, Air Force Institute of Technology (889-35-555)

Applications of monotonicity in inverse problems. Paul DuChateau, Colorado State University (889-35-665) Numerical solutions for Volterra parabolic equations. J. R. Cannon, University of Central Florida, and Yanplng Lin*, University of Alberta (889-35-753)

AMS Special Session on Topology of High Dimensional Manifolds, II

1 :00 p.m.-4:50 p.m.

1 :00 p.m. Resolutions of homology manifolds with the (679) DDP.

John L. Bryant* and Washington Mio, Florida State University (889-57-206)

1 :30 p.m. The dimension of the discontinuity set of a (680) manifold decomposition.

Frank Shaw, University of Minnesota, Minneapolis (889-57-500)

2:00 p.m. £quivariant approximate fibrations. (681) Stratos Prassldls, Vanderbilt University

(889-57-282)

2:30p.m. Large Riemannian manifolds and degenerations (682) of compact manifolds. Preliminary report.

A. 5. Dranlshnikov, Cornell University, S. Ferry, State University of New York, Binghamton, and S. Weinberger*, University of Chicago (889-57-793)

3:00 p.m. A handle decomposition of an exotic R'. (683) Zarko Bizaca, University of Texas, Austin

(889-57 -127)

3:30 p.m. Blowup equivalence of smooth manifolds. (684) Grigory Mikhalkin, Institute for Advanced

Study (889-57-398)

4:00 p.m. Local homotopy properties of topological (685) embeddings in codimensiori two. Preliminary

report. Gerard A. Venema, Calvin College (889-57 -283)

4:30 p.m. Group actions on contractible manifolds. (686) Preliminary report.

David G. Wright, Brigham Young University (889-57 -262)


1 :00 p.m.-3:00 p.m.

Interactive computer graphics laboratories for introductory differential geometry. Thomas F. Banchoff, Brown University


1 :00 p.m.-3:00 p.m.

Designing question-based mathematics courses. Lawrence E. Copes and Su Doree, Augsburg College

AMS Session on Ordinary Differential Equations

1 :00 p.m.--5:40 p.m.

1 :00 p.m. £igenspaces of automorphisms of quadratic (687) differential equations.

Nora C. Hopkins*, Indiana State University, and Michael K. Kinyon, Indiana University, South Bend (889-34-738)


1418

··········································-·-



1:15 p.m. On non-linear third-order differential equations (688) with anti-periodic boundary conditions.

Yong K. Huang, Ohio State University, Marion (889-34-243)

1 :30 p.m. A connection problem for a certain ordinary (689) differential equation of order three.

T. K. Puttaswamy, Ball State University, and T. V. Sastry*, Bradley University (889-34-375)

1 :45 p.m. Fourth order nonlinear systems arising in (690) combined free and forced convection flow of a

second order fluid. K. Vajaravelu*, University of Central Florida, and E. Soewono, lnstitut Teknologi Bandung, Indonesia (889-34-537)

2:00 p.m. Generalized quasilinearization for second order (691) boundary value problems. Preliminary report.

A. S. Vatsala, University of Southwestern Louisiana (889-34-361)

2:15p.m. Asymptotic diagonalization of a linear ordinary (692) differential system.

Po-Fang Hsieh and Felpeng Xle*, Western Michigan University (889-34-265)

2:30 p.m. Globally analytic simplification and the Levison (693) theorem.

Harry Gingold, West Virginia University, Po-Fang Hsieh*, Western Michigan University, and Yasutaka Sibuya, University of Minnesota, Minneapolis (889-34-266)

2:45 p.m. Global study of the solutions of a certain (694) differential equation.

T. K. Puttaswamy, Ball State University (889-34-374)

3:00 p.m. Existence and uniqueness for right focal (695) boundary value problems with generalized

Lipschitz equations. Jeffrey Ehme, Spelman College (889-34-459)

3:15p.m. Existence and uniqueness results for nonlinear (696) boundary value problems.

D. D. Hal, Mississippi State University (889-34-359) (Sponsored by Ratnasingham Shivaji)

3:30 p.m. Exponentially small terms of solutions to (697) nonlinear ordinary differential equations.

A. Tovbls, West Virginia University (889-34-141)

3:45 p.m. Existence of slow oscillations in functional (698) equations.

Bhagat Singh*, University of Wisconsin, Manitowoc County Center, and R. S. Dahlya, Iowa State University (889-34-228)

4:00 p.m. On Ladas open problem. (699) Daoyl Xu, Sichuan Normal University, People's

Republic of China (889-34-355)

4:15p.m. Uniform boundedness with the condition, (700) V'(t, Xt) < -g(t)W4 (m(Xt))- W5(D(t, Xt)) + M.

Tlngxlu Wang, Oakton Community College (889-34-14)

4:30p.m. Singularly perturbed integro differential (701) equations.

Gangaram S. Ladde, University of Texas at Arlington, and Sivapragasam Sathananthan*, Tennessee State University (889-34-575)

4:45 p.m. Optimal control for differential equations with (702) partial initial conditions.

Zephyrinus C. Okonkwo, University of Texas, Arlington (889-49-352)

5:00 p.m. AFM tip shape reconstruction. (703) Richard K. Miller, Iowa State University

(889-34-273)

5:15p.m. Integral manifolds of nonlinear differential (704) systems.

Zhivko S. Athanassov, Bulgarian Academy of Science, Bulgaria (889-34-566)

5:30 p.m. Multi-bump heteroclinic orbits for a Hamiltonian (705) system. Preliminary report.

Kevin H. Strobel, University of Wisconsin, Madison (889-34-674)

AMS Session on Operator Theory

1 :00 p.m.-5:1 0 p.m.

1 :00 p.m. Spectral properties of multipliers on Banach (706) algebras.

VIvien Miller, Mississippi State University (889-47-229)

1:15 p.m. Perturbed spectral inclusions for operators on (707) Banach spaces.

Michael M. Neumann, Mississippi State University (889-47-400)

1 :30 p.m. de Branges spaces of analytic functions. (708) Sanjeev Aggrawal and Dlnesh Singh*,

University of Delhi, India (889-47-725)

1 :45 p.m. Logarithms and imaginary powers of operators. (709) Preliminary report.

Khrlsto Boyadzhlev, Ohio Northern University (889-47-39)

2:00 p.m. Diagonal operators: Dilation, sum and product. (71 0) Preliminary report.

Che-Kao Fong, Carleton University, and Pel Yuan Wu*, Dalhousie University (889-47-258)

2:15p.m. Conditions equivalent to the Connes spectrum (711) being full.

James Osterburg and Xue Yao*, University of Cincinnati (889-47-481)

2:30 p.m. Index theory and Toeplitz algebras in cones in (712) zm with well behaved representation.

Preliminary report. Lida Shadabi, University of Wisconsin, Oshkosh (889-47-523)

2:45 p.m. Generic behavior of families of self-adjoint (713) operators.

Lyn Geisler, University of Virginia (889-47-449)

3:00 p.m. A model for families of doubly commuting (714) centered operators. Preliminary report.

Ximena Cateplllan*, Millersville University of Pennsylvania, and Waclaw Szymanski, West Chester University of Pennsylvania (889-47-569)


---~···· Program of the Sessions

3:15p.m. Composition operators on hyperbolic Hardy (715) spaces.

Valentin V. Andreev, Lamar University (889-47-784) .

3:30 p.m. On the lattice of ideals of triangular AF (716) algebras.

Allan P. Donsig, University of Lancaster, England, and Timothy D. Hudson*, University of Waterloo (889-47-698)

3:45 p.m. The continuity of the constant of hyperreflexivity. (717) Ileana lonascu, University of New Hampshire

(889-47-609)

4:00p.m. Resonance widths. (718) Joseph S. McDonnell, University of Virginia

(889-47-448)

4:15p.m. Finding operator roots of hereditary (719) polynomials.

Mark Stankus, University of California at San Diego, La Jolla (889-47-619)

4:30 p.m. The basisity of eigenfunctions for some (720) mechanical systems and operator polynomials.

Boris Belinskiy, University of North Florida (889-47-335)

4:45p.m. Compressions of absolutely continuous (721) contractions.

George R. Exner*, Bucknell University, and II Bong Jung, Kyungpook National University, Korea (889-47-451)

5:00p.m. Proximity maps, best approximations,and fixed (722) points.

Tzu-Chu Lin, University of Wisconsin, Milwaukee (889-47-360)

AMS Session on Combinatorics

3:00 p.m. An extension of the binomial theorem based on (731) noninvariant mappings. Preliminary report.

Dennis P. Walsh*, Middle Tennessee State University, and Charles L. Anderson, University of Southwestern Louisiana (889-05-567)

3:15p.m. An algorithm generating the generalized (732) Bernoulli polynomials.

Donald R. Snow, Brigham Young University (889-05-789)

3:30 p.m. On the higher chain rule, generating functions, (733) and combinatorial identities.

David C. Vella, Skidmore College (889-05-365)

3:45 p.m. Discriminental arrangements and formality. (734) Preliminary report.

Keith A. Brandt, University of Kansas (889-05-421)

4:00 p.m. Homology of the Lie algebra corresponding to a (735) poset. Preliminary report.

lztok Hozo, University of Michigan, Ann Arbor (889-05-513)

MAA Session on Research in Undergraduate Mathematics Education, II

1 :00 p.m.-5:35 p.m.

1 :00 p.m. Does group testing enhance student learning? (736) Laura A. Bloom*, University of California at

San Diego, La Jolla, and Carolyn R. Thomas, San Diego City College (889-00-1127)

1 :20 p.m. The effect of a computer algebra system on

1:00 p.m.-4:10p.m.

(737) students' problem-solving achievement in undergraduate remedial mathematics. Cynthia R. Trout, St. Edward's University ( 889-00-1148)

1 :00 p.m. On colorings of the positive integers. (723) Daniel Schaal, University of Idaho

(889-05-693)

1:15 p.m. On k-paving matroids, codes and designs. (724) Sanjay Rajpal, Dartmouth College

(889-05-764)

1:30 p.m. Image partition regularity of matrices. (725) Neil Hindman*, Howard University, and lmre

Leader, University of Cambridge, England (889-05-264)

1:45 p.m. Partitions and (m and n) sums of products. (726) Gregory Smith, Howard University

(889-05-247)

2:00 p.m. The crossing number of C4 x C4. (727) Alice M. Dean*, Skidmore College, and

R. Bruce Richter, Carleton University (889-05-426)

2:15p.m. Peaks in cyclic permutations. (728) Richard H. Warren, Advanced Concepts

Center, Pennsylvania (889-05-357)

2:30p.m. The "Probleme des Menages" for two tables. (729) Gregory F. Bachelis, Wayne State University

(889-05-458)

2:45p.m. On a result of Lemke and Kleitman. (730) Tristan Denley, University of Umea,

(889-05-562) (Sponsored by Britt-Marie A. Stocke)

1 :40 p.m. An alternative approach to calculus. (738) Robert B. Davis, Rutgers University, New

Brunswick (889-00-1133)

2:00p.m. Evaluating the effects of changing a (739) mathematics core curriculum.

Richard D. West, United States Military Academy (889-00-1151)

2:20 p.m. Problem centered learning: An alternative for (740) college mathematics courses?

Sandra Davis Trowell* and Grayson H. Wheatley, Florida State University ( 889-00-1149)

2:40 p.m. On developing function sense using cooperative (7 41) learning activities.

Anne E. Brown, Indiana University at South Bend (889-00-1130)

3:00 p.m. Title to be announced. (742) Leslie Aspinwall* and Kenneth Shaw, Florida

State University (889-00-1126)

3:20 p.m. The struggles and successes in integrating an (743) inquiry-based, technological approach to

learning college pre-calculus algebra. Kenneth L. Shaw*, Florida State University, Les Aspinwall, Janice McFatter and Minnie Shuler, Gulf Coast Community College, Florida (889-00-1145)


1420

......................... ...__



3:40p.m. (744)

4:00p.m. (745)

4:20p.m. (746)

4:40p.m. (747)

5:00p.m. (748)

5:20p.m. (749)

Attitudinal changes of calculus students using computer enhanced cooperative learning. G. Joseph Wimbish*, Huntingdon College, and Keith Schwingendorf, Purdue University, North Central (889-00-1152)

Differences between group and individual processes of construction of the concept of inverse function. Draga D. Vidakovic, Duke University (889-00-1150)

Visual and analytic approaches to symmetry groups and permutation groups. Ed Dubinsky, Purdue University, West Lafayette (889-00-1135)

A comparison of discovery style, graphing calculator based, and traditional instructions in calculus. George Emese, Rowan College of New Jersey (889-00-1137)

Is it enough to reform calculus? What happened to students after project CALC. Jack Bookman, Duke University (889-00-1128)

Learning about asymptotes using computerized environment. Michal Yerushalmy, University of Haifa, Israel (889-00-1153)

MAA Session on Restructuring Teaching and Learning in Linear Algebra, Ill

1 :00 p.m.-5:55 p.m.

1:00 p.m. (750)

1:40 p.m. (751)

2:05p.m. (752)

Should determinants be eliminated from the linear algebra curriculum. A debate moderated by David C. Lay. Sheldon Axler, Michigan State University, and Charles R. Johnson*, College of William & Mary (889-00-1188)

Gems of exposition in linear algebra: Your idea can still be part of the collection. A. Duane Porter, University of Wyoming (889-00-1199)

Teaching linear algebra without the fog. David C. Lay, University of Maryland, College Park (889-00-1193)

2:35 p.m. The linear algebra curriculum study group (753) recommendations: Moving beyond concept

definition. Guershon Harel, Purdue University, West Lafayette (889-00-1185)

2:55 p.m. Break

3:15p.m. An interactive text for linear algebra. (754) Gareth Williams, Stetson University

(889-00-1206)

3:30 p.m. Magic squares and the linear algebra fog. (755) Marie H. Postner, Saint Thomas Aquinas

College (889-00-1200)

3:45p.m. (756)

4:00p.m. (757)

4:15p.m. (758)

4:30p.m. (759)

4:45p.m. (760)

5:00p.m. (761)

5:15p.m. (762)

5:30p.m. (763)

5:45p.m. (764)

Coordinating linear algebra and calculus reform. Alan P. Knoerr, Occidental College (889-00-1191) The impact of technology on learning linear algebra: A computer-aided laboratory approach. John R. Wicks, North Park College (889-00-1205) A Mathematics-based linear algebra laboratory. Dean Alvis, Indiana University, South Bend (889-00-1175) Opportunities through picturing elimination. David R. Hill, Temple University (889-00-1187) Exploring polynomials and commuting matrices with DERIVE. Jerry A. Johnson, University of Nevada, Reno (889-00-1189) Hill codes, an application of modular matrix arithmetic. B. Evans, Oklahoma State University, Stillwater (889-00-1183) Deriving linear algebra through laboratories and projects. Steven M. Amgott, Widener University (889-00-1176) Oh, sweet pea: A computer lab to investigate a problem in genetics. M. Elizabeth Mayfield, Hood College (889-00-1196) Using MATLAB to discover linear system sensitivities. Steve Prothero, Willamette University (889-00-1201)

AMS Library Committee and AMS Electronic Products and Services

Committee Panel Discussion

1 :00 p.m.-2:30 p.m.

Impact of electronic publications on the mathematics and library communities.

MAA Poster Session

1 :00 p.m.-6:00 p.m.

Laboratory approaches in undergraduate mathematics. Organizer: Arnold M. Ostebee, St. Olaf College

AMS Session on Algebraic Geometry

1 :45 p.m.-3:40 p.m.

1:45 p.m. (765)

2:00p.m. (766)

Automorphisms of affine 3-space induced by locally nilpotent derivations. Preliminary report. Gene Freudenburg, Ball State University (889-14-24) Severi's theorem for the higher secant varieties of surfaces. Michael L. Johnson, Brandeis University (889-14-402)


------:' __ _ Program of the Sessions

2:15p.m. The Gaussian-Wahl map for trigonal curves. (767) James N. Brawner, Saint John's University

(889-14-142) 2:30 p.m. Compactification of the moduli space of higher

(768) spin curves. Tyler J. Jarvis, Princeton University (889-14-436)

2:45 p.m. An extension of Tamm's theorem on regular (769) points.

Lou van den Dries and Chris Miller*, University of Illinois, Urbana-Champaign (889-14-666)

3:00 p.m. Symmetrized differentials on Hilbert schemes of (770) points. Preliminary report.

Mark E. Huibregtse, Skidmore College (889-14-642)

3:15p.m. Nontrivial divisors on Hurwitz surfaces. (771) Khomo T. S. Mohapeloa, Pennsylvania State

University, McKeesport (889-14-766)

3:30 p.m. The connectedness of the Quot scheme. (772) Preliminary report.

Keith Pardue, Brandeis University (889-14-692)

MAA Teaching Awards Presentations

3:20 p.m.-5:00 p.m.

3:20 p.m. What is teaching? (774) Paul R. Halmos, Santa Clara University

3:55 p.m. Open secrets. (775) Justin J. Price, Purdue University, West

Lafayette

4:30 p.m. The partnership in the learning process. (776) Alan C. Tucker, State University of New York,

Stony Brook

AMS-MAA-SIAM Committee on Employment Opportunities and Young Mathematicians

Network Panel Discussion

5:00 p.m.-6:15p.m.

What can be done about employment of mathematicians in the 90s and beyond?

MAA Retiring Presidential Address

2:15 p.m.-3:05p.m.

Moderator: Stanley J. Benkoski, Wagner Associates

Panelists: Curtis D. Bennett, Bowling Green State University

(773) Experimentation and conjecture are not enough. Deborah Tepper Halmo, University of Missouri, St. Louis (889-00-91 0)

Rocky Mountain Mathematics Consortium Board of Directors Meeting

2:15 p.m.-4:10p.m.


3:15 p.m.-5:15p.m.

Calculus: an active approach with projects. Stephen R. Hilbert, John C. Maceli, Diane D. Schwartz, Stanley E. Seltzer and Eric E. Robinson, Ithaca College


3:15 p.m.-5:15p.m.

Teaching applied math via Maple. Robert J. Lopez, Rose-Hulman Institute of Technology

NAM Contributed Paper Session

3:15 p.m.-5:00p.m.

Presentations by recent doctoral recipients.

Moderator: John W. Alexander, Jr., University of the District of Columbia

Steven G. Krantz, Washington University

Donald J. Lewis, University of Michigan, Ann Arbor Richard J. Shaker, National Security Agency

Mathematical Sciences Education Board Focus Group

5:15 p.m.-6:30 p.m.

Draft NCTM assessment standards.

Organizer: Susan Forman, Bronx Community College

MAA Special Presentation

5:30 p.m.-6:30 p.m.

NSF calculus institute using CAS.

Panelists: Darrell H. Abney, Maysville Community College

Larry Gilligan, University of Cincinnati

MAA Poetry Readings

6:30 p.m.-7:20 p.m.

MAA Calculus Reform Study Group Open Meeting

7:00 p.m.-8:30 p.m.


1422

·········-.. --Program of the Sessions


NAM Cox-Talbot Address

7:15 p.m.-8:00p.m.

(777) Challenges and opportunities for minorities in science and mathematics. Etta Z. Falconer, Spelman College

MAA Committee on Student Chapters Lecture

7:30 p.m.-8:20 p.m.

(778) Magic tricks, card shuffling, and dynamic computer memories. S. Brent Morris, National Security Agency (889-00-915)

MAA Committee on the Participation of Women Presentation

8:15 p.m.-10:00 p.m.

Micro-inequities skits-the second generation.

AMS-MAA Dramatic Presentation

8:45 p.m.-9:30 p.m.

Gauss, Eisenstein, and the "third" proof of the quadratic reciprocity theorem: Ein kleines Schauspiel.

Saturday, January 15

AMS Special Session on History of Mathematics, IV

8:00 a.m.-9:50 a.m.

8:00 a.m. Leonard Eugene Dickson and his defining role (779) in the theory of algebras.

Della Jean Dumbaugh, University of Virginia (889-01-434)

8:30 a.m. George William Hill and the mathematics of the (780) Twentieth century. Preliminary report.

Peter C. Kammeyer, U S Naval Observatory, Washington, D.C. (889-01-501)

9:00 a.m. The mathematical versatility of Hertha Ayrton. (781) James J. Tattersall* and Shawnee L.

McMurran, Providence College (889-01-56)

9:30 a.m. Discussion

AMS Special Session on C*-algebras and von Neumann Algebras, Ill

8:00 a.m.-10:50 a.m.

8:00 a.m. Hilbert bimodules and C* algebras. Preliminary (782) report.

Michael V. Pimsner, University of Pennsylvania (889-46-632)

8:30 a.m. Continuous semigroups of endormorphism of (783) B(H). Preliminary report.

Robert T. Powers, University of Pennsylvania (889-46-51)

9:00 a.m. Characters of the Okada-Fibonacci algebra. (784) F. M. Goodman*, University of Iowa, and S. V.

Kerov, Steklov Mathematical Institute, Russia (889-46-552)

9:30 a.m. On discrete Kac algebras associated to (785) subfactors.

Shigeru Yamagami, Tohoku University, Japan (889-46-49) (Sponsored by Herbert Halpern)

10:00 a.m. Symplectic leaves and deformation (786) quantization. Preliminary report.

Albert J.L. Sheu, University of Kansas (889-46-124)

10:30 a.m. Actions of compact quantum groups on (787) operator algebras.

Florin Boca, University of Toronto (889-46-40)

AMS Special Session on Quasiconformal Mappings in Analysis, Ill

8:00 a.m.-10:50 a.m.

8:00 a.m. Quasiconformally symmetric sets in the plane. (788) Preliminary report.

Kari Hag, Norwegian Institute of Technology, Raimo Niikki, University of Jyvaskyla, Norway, and Bruce Palka*, University of Texas, Austin (889-30-74)

8:30 a.m. Strongly uniform domains and periodic (789) quasiconformal maps. Preliminary report.

Juha Heinonen, University of Michigan, Ann Arbor, and Shanshuang Yang*, University of California, Los Angeles (889-30-200)

9:00 a.m. Slit domains and quasiconformal maps. (790) Manouchehr Ghamsari, University of

Cincinnati (889-30-346)

9:30 a.m. Univalence criteria for analytic functions. (791) Leila Miller, University of Michigan, Ann Arbor

(889-30-578)

10:00 a.m. Global integrability of the derivative. (792) Craig A. Nolder, Florida State University

(889-30-26)

10:30 a.m. An extension of a theorem of Gehring and (793) Pommerenke.

Brad Osgood, Stanford University (889-30-585)



AMS Special Session on Modern Methods in Continuum Theory, Ill

8:00 a.m.-10:50 a.m.

8:00 a.m. Rotation sets and the prime end rotation (794) number.

Kathleen Alligood, George Mason University (889-54-408)

8:30 a.m. Chaotic continua of (continuum-wise) expansive (795) homeomorphisms and several chaoses.

Hlsao Kato, Hiroshima University, Japan (889-54-213)

9:00 a.m. Open embeddings of Cartesian products. (796) Preliminary report.

K. M. Kuperberg, Auburn University, Auburn, W. Kuperberg, Auburn University, and W. R.R Transue*, Auburn University, Auburn (889-54-735)

9:30a.m. Plane continua homogenous with respect to (797) light open mappings.

Janusz R. Prajs, Pedagogical University, Poland (889-54-211) (Sponsored by Krystyna M. Kuperberg)

10:00 a.m. Periodic points, inverse space limits, and arcs. (798) Preliminary report.

Louis Block, University of Florida, and Shannon Schumann*, Eastern Oregon State College, LaGrande (889-54-162) (Sponsored by Louis S. Block)

1 0:30 a.m. The homeomorphism group of the hairy arc is (799) one-dimensional.

Jan M. Aarts*, Delft University of Technology, and Lex G. Oversteegen, University of Alabama, Birmingham (889-54-186)

AMS Special Session on Nonlinear Partial Differential Equations and Applications, Ill

8:00 a.m.-10:50 a.m.

8:00 a.m. A Fujita type blow up theorem for a system of (800) degenerate diffusion equations.

Howard A. Levine, Iowa State College, Ames (889-35-103)

8:30 a.m. Asymptotics of blowup for weakly quasilinear (801) parabolic problems.

Jerrold Bebernes, University of Colorado, Boulder, Stephen Brlcher*, Linfield College, and VIctor Galaktlonov, Russian Academy of Science, Russia (889-35-486)

9:00 a.m. The blow-up behavior of the heat equation with (802) Neumann boundary conditions.

Keng Deng, University of Southwestern Louisiana (889-35-441)

9:30 a.m. Asymptotic forms for nonlinear Volterra (803) equations.

Catherine A. Roberts*, University of Rhode Island, and W. E. Olmstead, Northwestern University (889-45-23)

10:00 a.m. Vortex annihilation in nonlinear heat flow for (804) Ginzburg-Landau systems.

Patricia Bauman, Daniel Phillips*, Purdue University, West Lafayette, Chao-Nien Chen and Peter Sternberg, Indiana University, Bloomington (889-35-187)

1 0:30 a.m. Compactness method in degenerate parabolic (805) systems.

Llhe Wang, University of Iowa (889-35-659)


8:00 a.m.-10:00 a.m.

Introduction to research in the teaching and teaming of undergraduate mathematics: examples in calculus. Joan Ferrini-Mundy, University of New Hampshire, and Kathleen Held, The Pennsylvania State University, University Park


8:00 a.m.-10:00 a.m.

The math modeling/precalculus reform project: using discrete mathematical models to motivate mathematics. Sheldon P. Gordon, Suffolk Community College, and B. A. Fusaro, Salisbury State University

AMS Session on Fourier Analysis

8:00 a.m.-10:55 a.m.

8:00 a.m. Fourier series of compositions of functions. (806) Pamela B. Pierce, Syracuse University

(889-42-430)

8:15a.m. Control of Fourier sine coefficients and (807) comparisons of Fourier sine series.

Wei-Chi Yang, Radford University (889-42-5n)

8:30 a.m. The Cesaro means of the Fourier series on (808) classical groups.

Dashan Fan, University of Wisconsin, Milwaukee (889-43-90)

8:45 a.m. A restrictedly rectangularly convergent double (809) trigonometric series with large coefficients.

J. Marshall Ash* and Gang Wang, DePaul University (889-42-616)

9:00 a.m. Walsh Fourier series on the hypergroup (810) deformation of the dyadic group.

Lorna B. Hanes, University of Oregon (889-42-617)

9:15a.m. Wavelets on the dyadic local field. (811) W. Christopher Lang, Mississippi State


9:30 a.m. Construction of a family of continuous wavelets (812) via infinite products of two simultaneously

triangularizable or symmetrizable matrices. Preliminary report. Mohsen Maesuml, Lamar University (889-42-781)


1424


Saturday, January 15 (cont'd)

9:45 a.m. Kolmogorov's rearrangement problem with (813) respect to some summability methods.

G. P. Youvaraj, Kansas State University (889-42-330)

10:00 a.m. Incompleteness of sparse coherent states. (814) Jayakumar Ramanathan*, Eastern Michigan

University, and Tim Steger, University of Georgia (889-42-295)

10:15 a.m. New enlargements of the integrability classes. (815) Naza Tanovic-Miller, Mathematical Reviews,

Ann Arbor, Michigan (889-42-522)

10:30 a.m. A Nagel and Stein criterion of Brownian motion. (816) Hassan Sayyar, Kansas State University

(889-42-465)

10:45 a.m. Inversion of the limited angle tomography (817) operator.

Tim Olson, Dartmouth College (889-42-618)

AMS Session on Rings and Fields

8:00 a.m.-10:55 a.m.

8:00 a.m. Weak purity for Gorenstein rings. (818) Adam Borek, University of Illinois,


8:15a.m. Associated prime filtrations of finitely generated (819) modules over Noetherian rings.

Aihua Li, University of Nebraska, Lincoln (889-13-215)

8:30 a.m. On the dimension of finitely generated modules. (820) Preliminary report.

Sadi Abu-Saymeh, Yarmouk University, Jordan (889-13-241)

8:45a.m. The primary decomposition theorem in the (821) Dorroh z -ring.

Tilak De Alwis, Southeastern Louisiana University (889-13-444)

9:00 a.m. Tight closure in ladder rings. (822) Donna Glassbrenner*, University of Virginia,

and Karen Smith, Purdue University, West Lafayette (889-13-628)

9:15a.m. NOD (Not Quite Dedekind) domains. (823) K. Alan Loper, Ohio State University, Newark

(889-13-542)

9:30 a.m. An analog of Grabner bases in k-subalgebras (824) of polynomial rings. Preliminary report.

J. Lyn Miller, University of Maryland, College Park (889-13-649) (Sponsored by William W. Adams)

9:45 a.m. Differential operators on affine cuNes in (825) characteristic p.

Srinath Duvuru, University of Oregon (889-13-689)

10:00 a.m. Central embedding problems: Decomposition of (826) obstructions and explicit construction of solution

fields. John R. Swallow, Yale University (889-12-195)

10:15 a.m. The radical of the automorphism group of a (827) transcendental field extension. Preliminary

report. Karin Deck, University of North Carolina, Wilmington (889-12-536)

10:30 a.m. Proving the fundamental theorem of algebra (828) case by case. Preliminary report.

Franklin Kemp, East Texas State University (889-12-54 7)

10:45 a.m. Computing the Witt group of certain (829) hyperrelliptic cuNes. Preliminary report.

Jonathan Shick, Loyola University (889-12-591)

AMS Session on Optimization and Control

8:00 a.m.-10:25 a.m.

8:00 a.m. A quadratically convergent infeasible (830) predictor-corrector algorithm for linear

programming. Jianming Miao, Rutgers University, New Brunswick (889-90-315)

8:15 a.m. Nondifferentiable quasiconvex optimization. (831) Thurai Kugendran, Wilkes University

(889-49-767)

8:30 a.m. On linear programming minimization via double (832) dip maximization. Preliminary report.

S. Verma, University of Nevada, Las Vegas (889-15-541)

8:45 a.m. A collocation-type method for the controlled (833) Duffing oscillator.

Gamal Elnagar and Mohsen Razzaghi*, Mississippi State University (889-93-364)

9:00 a.m. Convergence and stability of stochastic systems (834) under Markovian structural perturbations.

G. S. Ladde and Bonita A. Lawrence*, University of Texas, Arlington (889-93-736)

9:15a.m. On control of functional differential systems. (835) Preliminary report.

N. G. Medhin* and Gary Chung, Clark Atlanta University (889-49-367)

9:30 a.m. Regularity properties of time-optimal trajectories (836) for multi-input real-analytic systems in the

plane. Guoqing Tang, North Carolina A& T State University (889-49-401)

9:45 a.m. Control of singularly perturbed delay system (837) with a small parameter.

K. M. Ramachandran, University of South Florida (889-93-96)

10:00 a.m. Existence and asymptotic stability for overtaking (838) equilibria in dynamic games.

D. A. Carlson*, University of Toledo, A. Haurie, University of Geneva, Switzerland, and A. Leizarowitz, Technion Institute of Technology, Haifa, Israel (889-90-647)

10:15 a.m. Upper bounds for the variation of sampled (839) signals.

Nasser Dastrange, Buena Vista College (889-26-386)


~~~~~-··· Program of the Sessions

AMS Session on Graph Theory

8:00 a.m.-10:25 a.m.

8:00 a.m. Hamilton weights and uniquely 3-edge-colorable (840) cubic graphs.

Cun-Quan Zhang, West Virginia University (889-05-83)

8:15a.m. Binary matroids without prisms, prism duals, (841) and cubes.

Sandra R. Kingan, Louisiana State University, Baton Rouge (889-05-193)

8:30 a.m. An extension of Tufte's wheels theorem for (842) graphs. Preliminary report.

James G. Oxley and Hal-dong Wu*, Louisiana State University, Baton Rouge (889-05-399)

8:45 a.m. The number of edges in a subgraph of a (843) Hamming graph.

Bruce F. Torrence*, Randolph-Macon College, Richard Squire and Andrew Vogt, Georgetown University (889-05-496)

9:00 a.m. Embedding edge-colorings into (844) m-edge-connected k-factorizations.

C. A. Rodger and E. B. Wantland*, Auburn University, Auburn (889-05-510)

9:15a.m. Properties of highly regular graphs. (845) Jeffrey P. Angel, University of Nevada, Las

Vegas (889-05-564)

9:30 a.m. On Hamilton cycles in Cayley graphs. (846) Tzu-Vi Yang, Ohio State University, Columbus

(889-05-551)

9:45 a.m. Toda lattices on Cayley graphs. Preliminary (847) report.

Elinor Velasquez, University of California, Berkeley (889-05-627)

10:00 a.m. Order dimension and directed graphs. (848) Larry J. Langley, University of Colorado,

Denver (889-05-638)

10:15 a.m. Some properties of a higher-order coboundary (849) operator.

Dale S. Darrow, Pennsylvania State University, Dunmore (889-05-679)

MAA Session on Research in Undergraduate Mathematics Education, Ill

8:00 a.m.-10:55 a.m.

8:00 a.m. Small group instructional technique in (850) undergraduate mathematics: +S and -s.

VIctor U. Odafe, Bowling Green State University (889-00-1143)

8:20 a.m. An intuitive "basis of belief' for the limit process (851) in calculus.

M. Anne Dow, Maharishi International University (889-00-1134)

8:40 a.m. The effective use of computers and graphing (852) calculators in college algebra.

Margo Alexander, Emory University (889-00-1125)

9:00 a.m. An analysis of the effectiveness of support (853) systems for beginning calculus students at

Cornell. Myrtle Lewin*, Agnes Scott College, and Thomas Rishel, Cornell University (889-00-1140)

9:20 a.m. Is cooperative learning the answer? - It's all a (854) matter of style.

Kathleen Miranda, State University of New York, College at Old Westbury (889-00-1142)

9:40 a.m. Lasting effects of the integrated use of graphing (855) technologies in precalculus mathematics.

William 0. Martin, University of Wisconsin, Madison (889-00-1141)

10:00 a.m. Forming connections between functions (856) and graphs: An investigation of functions

represented by verbal descriptions and Cartesian graphs. Christine L. Ebert, University of Delaware (889-00-1136)

10:20 a.m. Graphics calculators- What are appropriate (857) exercises for students?

Elaine Hubbard* and Ronald D. Robinson, Kennesaw State College (889-00-1139)

10:40 a.m. Teaching computer science in AISES summer (858) camp at Stanford University (1993) and Caltech

(1992, 1991). Claudette Bradley, University of Alaska, Fairbanks (889-00-1129)

MAA Session on Teaching Mathematics With a Spreadsheet, Ill

8:00 a.m.-10:00 a.m.

8:00 a.m. Calculus demonstrations with EXCEL. (859) Chris Thron, University of Kentucky

(889-00-1220)

8:25 a.m. Using a spreadsheet as an investigative tool. (860) Patrice Tiffany, Manhattan College

(889-00-1221)

8:50 a.m. Iteration and spreadsheets in first semester (861) calculus.

James Walsh, Oberlin College (889-00-1222)

9:15a.m. Using spreadsheets in a number theory class (862) for mathematically precocious students.

Alex Smith*, University of Wisconsin-Eau Claire, and Michael Colsher, Marquette University High School, Wisconsin (889-00-1218)

9:40 a.m. Spreadsheets as a discovery tool in a statistics (863) course.

Charlie Jacobson, Elmira College (889-00-1213)

MAA Session on The Bridge to Calculus, I

8:05 a.m.-10:45 a.m.

8:05 a.m. Discrete dynamical systems as a foundation for (864) calculus.

Joseph D. Myers, United States Military Academy (889-00-1035)

DECEMBER 1993, VOLUME 40. NUMBER 10 1425

.............. __ ···--Program of the Sessions


8:30 a.m. The MTU MaCH-/ program-A multi-dimensional (865) approach to teaching first-year level math

courses. Kalpana Godbole, Michigan Technological University (889-0Q-1 030)

8:55 a.m. Curriculum reform: How has the paradigm shift (866) changed me?

Barbara E. Reynolds, Cardinal Stritch College (889-00-1 037)

9:35 a.m. Algebra applications: Quadratic. (867) Roosevelt Gentry, Jackson State University

(889-00-1 029) 10:00 a.m. A precalculus course that really forms a bridge

(868) to calculus. Jerry Przybylski, Elmira College (889-00-1036)

10:25 a.m. A precalculus course based on difference (869) equations.

Sheldon P. Gordon, Suffolk Community College (889-00-1032)

AMS Committee on Education Panel Discussion

8:15 a.m.-9:45a.m.

AMS Special Session on Scientific Computing, Ill

8:30 a.m.-10:20 a.m.

8:30 a.m. On the future of scientific computing. (870) Ramon E. Moore, Ohio State University,

Columbus (889-65-719) (Sponsored by Seenith Sivasundaram) .

9:00 a.m. New molecular models for physical and (871) chemical applications.

D. Greenspan, University of Texas, Arlington (889-70-64)

9:30 a.m. Computing normal forms for Poisson systems. (872) Kenneth Meyer, University of Cincinnati

(889-34-81) 10:00 a.m. Parallel multivariate numerical integration.

(873) lgnatlos Vakalis, Capital University (889-68-312)

AMS Special Session on Undergraduate Research in Mathematics, Ill

8:40 a.m.-10:55 a.m.

8:40 a.m. Classification of stable topological defects. (874) Eric Smith, University of Nebraska, Lincoln

(889-54-149) (Sponsored by David C. Carothers)

9:00 a.m. Convergence of sequences of iterated triangular (875) line graphs.

David Dorrough, Huntington Beach, California (889-05-514)

9:20a.m. (876)

9:40a.m. (877)

10:00 a.m. (878)

10:20 a.m. (879)

10:40 a.m. (880)

Cyclotomic polynomials, power residues, and reciprocity laws. Preliminary report. Romyar Sharif!, Berkeley, California (889-11-174) (Sponsored by Robert 0. Robson) Unknotting numbers of links written a b c in Conway notation. Preliminary report. Eva F. Walles*, Smith College, and Cassandra McGee, Millsaps College (889-57-178) (Sponsored by Dennis J. Garity) Finite actions on unit tangent bundles of surfaces. Amy Lelievre, Providence College, Renlong Xia, University of Oklahoma, Kevin L. Hartshorn*, University of Notre Dame, and Sean Paul, University of Oklahoma (889-55-173) Semiconductor laser arrays: Phase-locked solutions and their stability. Danlelle Seabold, Kalamazoo College (889-34-349) (Sponsored by Lisa J. Holden) Third order degree regular graphs. Leslie D. Hayes, Western Michigan University (889-05-425) (Sponsored by Joseph A. Gallian)

NAM William W.S. Claytor Lecture

9:00 a.m.-9:50 a.m.

(881) A novel approach to turbulent modeling. James C. Turner, Jr., Ohio State University and Central State University

AMS Special Session on Meetings of Mathematicians, II

9:00 a.m.-10:50 a.m.

9:00 a.m. The most urgent problem for the mathematics (882) profession.

W. L. Duren, Jr., Charlottesville, Virginia (889-01-615)

9:30 a.m. Creating an American mathematical tradition: (883) The extended Ahlfors-Bers family. Preliminary

report. Irwin Kra, State University of New York, Stony Brook (889-01-279)

10:00 a.m. Women mathematicians in the AMS. (884) Allee T. Schafer, Marymount University

(889-01-313) 1 0:30 a.m. Meetings and their context.

(885) Lee Lorch, York University (889-01-300)

AMS Special Session on Stochastic Analysis, Ill

9:00 a.m.-10:50 a.m.

9:00 a.m. On the existence of positive solutions for (886) semilinear elliptic equations with Neumann

boundary conditions. Z. Zhao, University of Missouri, Columbia, Z. Q. Chen* and R. J. Williams, University of California at San Diego, La Jolla (889-60-291)


_ .... _ .... -·


9:30 a.m. Side bets on unfair games. (887) William Hammack, University of Illinois,


10:00 a.m. On the geometry of random heat kernels. (888) Preliminary report.

R. B. Sowers*, University of Maryland, College Park, and K. D. Elworthy, University of Warwick, Coventry, England (889-60-405)

10:30 a.m. A deterministic approach to the problem of (889) optimal stopping.

loannis Karatzas*, Columbia University, and Mark H.A Davis, Imperial College of Science & Technology, London, England (889-60-759) (Sponsored by Philip E. Protter)

AMS Special Session on Topology of High Dimensional Manifolds, Ill

9:00 a.m.-10:50 a.m.

9:00 a.m. Ends of complexes, I. Preliminary report. (890) Bruce Hughes, Vanderbilt University

(889-57-284)

9:30 a.m. Exponents for topological K -groups. (891) Frank Connolly*, University of Notre Dame,

and Stratos Prassidis, Vanderbilt University (889-57 -224)

10:00 a.m. Unitary nilpotent groups and the stability of (892) pseudo-isotopies. Preliminary report.

Slawomir Kwasik, Tulane University (889-57-397)

10:30 a.m. Ends without nice neighborhoods. (893) Frank Connolly and Bogdan Vajiac*,

University of Notre Dame (889-57-225)

NAM Panel Discussion

10:00 a.m.-10:55 a.m.

NAM's undergraduate MATHFest; one approach to the pipeline issue.

Moderator: Johnny L. Houston, Elizabeth City State University

Panelists: Jason Lewis, Morehouse College

Dawn L. Crumpler, Northwestern University

Patricia W. Beaulieu, University of Southwestern Louisiana

Steven E. Shreve, Carnegie Mellon University

MAA Invited Address

10:05 a.m.-10:55 a.m.

(894) Euler's extraordinary sums. William W. Dunham, Muhlenberg College (889-00-912)

AMS Special Presentation

11:10 a.m.-12:20 p.m.

Celebration of 100 years of AMS meetings.

Moderator: Everett Pitcher, Lehigh University

Moderator: John W. Green, University of California, Los Angeles

AMS Retiring Presidential Address

1 :00 p.m.-2:00 p.m.

(895) Comments about traditional lecture series at AMS meetings. Ronald L. Graham, AT&T Bell Laboratories, Murray Hill, New Jersey

(896) Noncommutative projective geometry. Michael Artin, Massachusetts Institute of Technology

MAA Minicourse #1 0: Part B

1 :00 p.m.-3:00 p.m.

q-dimensional dynamical systems and chaos. Mario U. Martelli, California State University, Fullerton

MAA Minicourse #11 : Part B

1 :00 p.m.-3:00 p.m.

HP 48 learning environments for experienced users. Lynn E. Garner, Brigham Young University


1 :00 p.m.-3:00 p.m.

Creating order out of chaos in freshman mathematics. Wade Ellis, Jr., West Valley College


1 :00 p.m.-3:00 p.m.

"Workshop" mathematics: using new pedagogy and technology in introductory mathematics courses. Nancy Hood Baxter and Allan Rossman, Dickinson College

MAA Session on Mathematics and Music, II

1 :00 p.m.-3:40 p.m.

1:00 p.m. Introductory remarks, Robert Lewand


1428

---Program of the Sessions

............ _., __ .


1:05 p.m. Dihedral groups in twelve-tone music. (897) David Graves, Elmira College (889-00-1073)

1 :25 p.m. Using dynamical systems in musical (898) composition.

Alexandra Kurepa*, North Carolina A & T State University, and Rodney Waschka, II, North Carolina State University (889-00-1079)

1:45 p.m. Mathematical and musical aspects of the (899) composition Faster.

Zae Munn, Saint Mary's College, and Jay A. Wood*, Purdue University, Calumet Campus (889-00-1085)

2:05 p.m. Temperaments: Equaling the masters at their (900) own game.

Richard Barshinger, Pennsylvania State University, Dunmore (889-00-1 070)

2:25 p.m. A chaotic system for musical improvisation. (901) Andrea Polli, Western Springs, Illinois

(889-00-1083)

2:45p.m. Musical groups. (902) Jonathan Kochavi, University of Wisconsin,

Madison (889-00-1077)

3:05 p.m. Geometric pictures into music. (903) Leon Harkleroad, Cornell University, Ithaca

(889-00-1075)

3:25 p.m. Mathematical equivalence of musical chords. (904) Paullsihara, Wheaton College (889-00-1076)

MAA Session on New Methods for Teaching Elementary Differential Equations, II

1 :00 p.m.-6:00 p.m.

1 :00 p.m. Teaching differential equations at North Carolina (905) State University.

Joe A. Marlin* and Ernest E. Burniston, North Carolina State University (889-00-1097)

1 :25 p.m. ODE computer experiments at Harvey Mudd (906) College.

Robert Borrelli* and Courtney Coleman, Harvey Mudd College (889-00-1089)

1:50 p.m. Differential equations projects using (907) Mathematica.

A. D. Andrew and T. D. Morley*, Georgia Institute of Technology (889-00-1 099)

2:15p.m. Introduction to control problems, inverse (908) problems and numerical methods via the

variarium of parameters formula. M. Zuhair Nashed, University of Delaware (889-00-1101)

2:40 p.m. Portable technology enhancemant of the (909) elementary differential equations course.

T. Gilmer Proctor, Clemson University (889-00-11 03)

3:00 p.m. The rule of three comes to differential (910) equations.

David 0. Lomen, University of Arizona (889-00-1095)

3:20 p.m. Restructuring the first differential equations (911) course for mathematics and science majors

using Mathematica. Francisco Alarcon, Indiana University of Pennsylvania (889-00-1 087)

3:40 p.m. Teaching differential equations with PHASER. (912) David T. Closky, Mount Saint Joseph College

( 889-00-1 091 )

4:00 p.m. Teaching ordinary differential equations. (913) Thomas G. Wangler, Illinois Benedictine

College (889-00-11 06)

4:20 p.m. The Hopf example. (914) Mark Farris, Midwestern State University

(889-00-1 092)

4:40 p.m. Differential equations at St. Olaf with MAPLE V. (915) Stephen F. Kennedy* and Matthew P. Richey,

Saint Olaf College (889-00-1094)

5:00 p.m. A progression of projectiles. (916) Roland Minton, Roanoke College

(889-00-1 098)

5:20 p.m. Graphics for differential equations. (917) Herman Gollwitzer, Drexel University

(889-00-1 093)

5:40p.m. Iceberg drift prediction model. (918) Ernest J. Manfred, United States Coast Guard

Academy (889-00-1 096)

MAA Session on Reassessing Discrete Mathematics in the First Two Years, II

1:00 p.m.-4:15p.m.

1 :00 p.m. The first two years of discrete mathematics: A (919) 1994 update of topical coverage in textbooks.

Terry A. Lepera* and Diane Spresser, James Madison University (889-00-1116)

1 :25 p.m. Discrete mathematics and the needs of (920) computer science students.

William A. Marion, Valparaiso University ( 889-00-1117)

1 :50 p.m. Discrete mathematics as a bridge to advanced (921) mathematics and computer science.

D. S. Franzblau, Rutgers University, Piscataway (889-00-1111)

2:15p.m. How much emphasis should be placed on (922) algorithms in the first course in discrete

mathematics? Herbert E. Kasube, Bradley University (889-00-1114)

2:40 p.m. Discrete writing. (923) Rochelle Leibowitz, Wheaton College

(889-00-1115)

3:05 p.m. Discrete mathematics as a springboard to (924) independent teaming.

Mark Michael, King's College (889-00-1119)

3:30p.m. Cooperative finite mathematics laboratory (925) experiences.

Toni Carroll, Siena Heights College (889-00-11 08)

3:55 p.m. Discrete math at Hamline University: Upgrade (926) needed?

Nadine Myers, Hamline University (889-00-1120)



MAA Session on Restructuring the Mathematical Preparation of Teachers, II

1 :00 p.m.-3:55 p.m.

1 :00 p.m. Integrating mathematics and science teaching (927) in grades K·6.

Marie P. Sheckels, Mary Washington College (889·00-1170)

1 :20 p.m. Preparing teachers for the use of technology in (928) high school mathematics courses.

Ronald J. Harshbarger, Georgia Southern University (889-00-1161)

1 :40 p.m. Changes in the preparation of elementary and (929) secondary teachers of mathematics at North

Park College. Leona Mirza, North Park College (889-00-1166)

2:00 p.m. Encourage a variety of interests. (930) JoAnne S. Growney, Bloomsburg University

(889-00-1160)

2:20 p.m. A model for the transformation of subject-matter (931) knowledge into pedagogical content knowledge.

Christine L. Ebert, University of Delaware (889-00-1157)

2:40 p.m. Restructuring the mathematical preparation of (932) elementary school teachers.

Iris Deloach Johnson, Miami University (889-00-1163)

3:00 p.m. The mathematical recommended daily (933) allowances.

Delene Perley, Walsh University (889-00-1168)

3:20 p.m. Abstract algebra for elementary and junior high (934) education majors.

Albert Otto, Illinois State University (889-00-1167)

3:40 p.m. Collaborative teaching and cooperative teaming. (935) Billy F. Hobbs, Point Lorna College

(889-00-1162)


1 :00 p.m.-2:00 p.m.

Assessing calculus reform efforts-a report to the community.

Moderator: James R. C. Leitzel, Mathematical Association of America

Panelists: Alan C. Tucker, SUNY at Stony Brook

Judy Franz, University of Alabama-Huntsville

MAA Student Workshop

1 :00 p.m.-3:00 p.m.

Calculated deceptions.

Organizer: S. Brent Morris, National Security Agency

MAA Session on The Bridge to Calculus, II

1:05 p.m.-5:10p.m.

1 :05 p.m. Key to college algebra with MAPLE. (936) Shine-Min Lin, Bethel College (889-00-1034)

1 :30 p.m. Algebra, trigonometry, calculus, and (937) Mathematics.

Barry Brunson* and Claus Ernst, Western Kentucky University (889-00-1 026)

1 :55 p.m. Making technology part of the picture. (938) Kay Gura, Ramapo College of New Jersey

(889-00-1 033)

2:20 p.m. Introducing data analysis and probability in (939) precalculus mathematics.

Florence S. Gordon, New York University, School of Education (889-00-1031)

2:50 p.m. Calculus with review: The course, materials, (940) and evaluation.

Alicia Sevilla and Kay Somers*, Moravian College (889-00-1 038)

3:15p.m. Precalculus, technology, and mathematical (941) modeling.

Ann Preston* and Cheryl Slayden, Pellissippi State Technical Community College (889-00-1 040)

3:40 p.m. Using cooperative teaming in college algebra. (942) Joseph F. Conrad, Pennsylvania State

University, Altoona Campus (889-00-1 027)

4:05 p.m. The precalculus revitalization project. (943) Carl Swenson*, Seattle University, and Janet

Ray, Seattle Central Community College (889-00-1 039)

4:30 p.m. CPR - Mathematics for applied science (944) programs.

Darrell H. Abney, Maysville Community College (889-00-1 025)

4:50 p.m. Maricopa mathematics consortium. (945) David Dudley, Phoenix College (889-00-1028)


2:10 p.m.-4:00p.m.

What happens after calculus reform?

Organizer: Sheldon P. Gordon, Suffolk Community College

Panelists: Deborah Hughes Hallett, Harvard University

Arnold M. Ostebee, St. Olaf College

Anthony L. Peressini, University of Illinois

David A. Smith, Duke University

Alan C. Tucker, SUNY at Stony Brook


1430

·············································--



AMS Special Session on Undergraduate Research in Mathematics, IV

2:15 p.m.-5:10p.m.

2:15p.m. Counting order classes of triple products in (946) finite groups.

Scott Annin, University of Nebraska, and Jennifer Ziebarth*, Carleton University (889-20-271) (Sponsored by Gary J. Sherman)

2:35p.m. Inversion of an integral transform for SU(p. 1). (947) Preliminary report.

Deborah Alterman, New Haven, CT, D. Matthew Hill*, University of Chicago, Sejung Kim, Cornell University, Angela Minnick, University of Iowa, and Lisa Mantini, Oklahoma State University, Stillwater (889-22-75)

2:55 p.m. Reflection groups acting on graphs. (948) Paul Buckelew, University of Oklahoma,

Norman, Wei He, University of Missouri, Columbia, and Joe Kanapka*, Harvard University (889-20-608)

3:15p.m. Approximating eigenvalues of an Hermitian (949) matrix.

Pavel Grinfeld*, Princeton University, and Scott Williams, Iowa State University (889-15-255) (Sponsored by Earl R. Barnes)

3:35 p.m. Some results in comparative number theory. (950) Preliminary report.

Giullana P. Davidoff, Mount Holyoke College, Vi Wang, Bryn Mawr College , Caroline Osowski, Mount Holyoke College, Jennifer Vanden Eynden*, University of Illinois, Urbana-Champaign, and Nancy Wrinkle, Barnard, NY (889-11-151)

3:55 p.m. The modular n-Queens problem in higher (951) dimensions.

Scott P. Nudelman, St. Louis, Missouri (889-05-653) (Sponsored by Joseph A. Gallian)

4:15p.m. Threshold functions for sum-free subsets ofz•. (952) Kara S. Finley*, Furman University, and

Nelson C.E Townsend, University of Kansas (889-60-203)

4:35 p.m. A comparison of compactifications of topological (953) spaces.

John Kreuger, Hope College (889-54-716) (Sponsored by John R. Stoughton)

4:55 p.m. Lengths of factorizations in atomic domains. (954) Preliminary report.

Susanne W. Jenkens, University of Louisville (889-13-150)

AMS Special Session on C*-algebras and von Neumann Algebras, IV

2:15 p.m.-5:25 p.m.

2:15p.m. Amenability of discrete quantum groups. (955) Edward George Effros, University of

California, Los Angeles, and Zhong-Jin Ruan•, University of Illinois, Urbana-Champaign (889-46-344)

2:45 p.m. The Haagerup constant for tensor products of (956) c·- algebras.

Allan Sinclair, University of Edinburgh, Scotland, and Roger Smith*, Texas A & M University, College Station (889-46-53)

3:15p.m. On certain multiplier C*-algebras used in (957) E-theory. Preliminary report.

Gabriel Nagy, Kansas State University (889-46-55)

3:45 p.m. More about noncommutative spheres. (958) Preliminary report.

Toshikazu Natsume* and Catherine L. Olsen, State University of New York, Buffalo (889-16-52)

4:15p.m. Shifts on the hyperfinite n1 factor. Preliminary (959) report.

Geoffrey Price*, United States Naval Academy, and Robert Powers, University of Pennsylvania (889-46-78) (Sponsored by Mark E. Kidwell)

4:45 p.m. Numerical linear algebra and c· -algebras. (960) William Arveson, University of California,

Berkeley (889-46-744)

AMS Special Session on Quasiconformal Mappings in Analysis, IV

2:15 p.m.-5:35p.m.

2:15p.m. A characterization of domains quasiconformally (961) equivalent to the unit ball.

Nathan Soderborg, Ann Arbor, Michigan (889-30-169) (Sponsored by Susan G. Staples)

2:45 p.m. Approximation of analytic functions via circle (962) packings.

Kenneth Stephenson, University of Tennessee, Knoxville (889-30-223)

3:15 p.m. Koenigs function, quasicircles and BMO. (963) Preliminary report.

Steffen Rohde, University of Michigan, Ann Arbor (889-30-650) (Sponsored by David A. Herron)

3:45p.m. An argument principle for harmonic functions. (964) Preliminary report.

Peter Duren, University of Michigan, Ann Arbor (889-30-378)

4:15p.m. Upper bound for distortion of capacity under (965) conformal mapping.

Robert Thurman, University of Michigan, Ann Arbor (889-30-136)

4:45 p.m. Logarithmic coefficients of univalent functions in (966) S. Preliminary report.

Y. J. Leung, University of Delaware (889-30-184) (Sponsored by Albert E. Livingston)


--·-·· Program of the Sessions

5:15p.m. Behavior of domain constants under conformal (967) mappings. Preliminary report.

Wancang Ma*, Pennsylvania College of Technology, and David Minda, University of Cincinnati (889-30-18)

AMS Special Session on Modern Methods in Continuum Theory, IV

2:15 p.m.-5:45p.m.

2:15p.m. Simply-connected plane continua have the (968) fixed-point property.

Charles L. Hagopian, California State University, Sacramento (889-54-156)

2:45 p.m. Generalized disconnection numbers. (969) Gary A. Seldomridge, Potomac State College

(889-54-268)

3:15p.m. On homogeneous totally disconnected spaces. (970) K. Kawamura, University of Saskatchewan, L.

G. Oversteegen*, University of Alabama, Birmingham, and E. D. Tymchatyn, University of Saskatchewan (889-54-290)

3:45 p.m. Splitting n-homotopy idempotents of finite (971) polyhedra.

Alex Chlgogidze, University of Saskatchewan (889-55-259)

4:15p.m. On the plane fixed point question. (972) Harold Bell, University of Cincinnati

(889-54-185)

4:45 p.m. A list of problems known as Houston Problem (973) Book.

H. Cook, University of Houston, University Park, W. T. Ingram, University of Missouri, Rolla, and A. Lelek*, University of Houston, University Park (889-54-432)

5:15p.m. Problem Session

AMS Special Session on Stochastic Analysis, IV

2:15 p.m.-5:05p.m.

2:15p.m. Backward forward stochastic differential (974) equations.

Fabio Antonelli, University of Rome La Sapienza, Italy (889-60-586)

2:45 p.m. Forward-backward stochastic differential (975) equations and their applications.

Jin Ma, Purdue University, West Lafayette (889-60-442)

3:15p.m. Poisson approximations to continuous security (976) market models.

Helke Dengler, Cornell University, Ithaca (889-60-143)

3:45 p.m. The valuation of foreign cuffency options under (977) stochastic interest rates and systematic jumps

using the Martingale approach. Preliminary report. Javier Fernandez-Navas, Purdue University, West Lafayette and lnstituto de Empresa, Madrid, Spain (889-60-528) (Sponsored by Philip E. Protter)

4:15p.m. Variational problems of long-term "turnpike" (978) policies.

Thaleia Zariphopoulou*, University of Wisconsin, Madison, and Chi-Fu Huang, Massachusetts Institute of Technology (889-60-371)

4:45 p.m. Heavy traffic convergence of a controlled (979) multi-class queueing system.

L. F. Martins, S. E. Shreve* and H. M. Soner, Carnegie Mellon University (889-60-607)

AMS Special Session on Nonlinear Partial Differential Equations and Applications, IV

2:15 p.m.-4:05p.m.

2:15p.m. Fighting the Hamiltonian chaos of quasiperiodic (980) motion with nonlinear P.D.E. on a torus.

Preliminary report. M. S. Berger, University of Massachusetts, Amherst (889-35-119)

2:45 p.m. Nonlinear elliptic systems in unbounded (981) domains.

C. V. Pao, North Carolina State University (889-35-168)

3:15p.m. Perturbation of the domain and regularity of the (982) solutions of the bipolar fluid flow equations in

polygonal domains. Preliminary report. Hamid Sellout and Sheryl L. Wills*, Northern Illinois University (889-35-292)

3:45 p.m. On a class of semilinear parabolic equations (983) with prescribed energy.

Hong-Ming Yin, University of Notre Dame (889-35-686)

AMS Special Session on Topology of High Dimensional Manifolds, IV

2:15 p.m.-5:05p.m.

2:15p.m. Busemann's conjecture is true when n = 4. (984) Paul Thurston, Cornell University, Ithaca

(889-57-267)

2:45 p.m. Progress on mixed spaceforms. (985) C. W. Stark, University of Florida (889-57-281)

3:15 p.m. Interiors of compact contractible manifolds are (986) hyperbolic.

Fredric D. Ancel and Craig R. Guilbault*, University of Wisconsin, Milwaukee (889-57-477)

3:45 p.m. The Euler characteristic of a nonpositively (987) curved, piecewise Euclidean manifold.

Michael Davis* and Ruth Charney, Ohio State University, Columbus (889-57-252)

4:15p.m. Manifolds which can not be leaves of foliations. (988) Oliver Attie*, McMaster University, and Steven

Hurder, University of Illinois, Chicago (889-53-786)

4:45 p.m. Flexible uniformly contractible manifolds. (989) Steven C. Ferry*, State University of New York

at Binghamton, and Shmuel Weinberger, University of Chicago (889-53-207)


1432



AMS Session on Numerical Analysis

2:15 p.m.-4:55p.m.

2:15p.m. Efficiency comparisons of methods for (990) integrating ODEs.

Michael E. Hosea*, Northern Illinois University, and Lawrence F. Shampine, Southern Methodist University, Dallas (889-65-192)

2:30 p.m. A simple step size selection algorithm for ODE (991) codes.

A. Witt* and L. F. Shampine, Southern Methodist University, Dallas (889-65-196)

2:45 p.m. On fp·approximate solutions of linear equations. (992) Jianming Miao* and Adi Ben-Israel, Rutgers

University, New Brunswick (889-65-404) 3:00 p.m. Exact evaluation of a class of singular integrals.

(993) Preliminary report. Javad Abdalkhani, Ohio State University, Lima (889-65-392)

3:15p.m. Numerical integration for multivariable functions (994) with point singularities.

Yajun Yang*, University of Wisconsin, Oshkosh, and Kendall E. Atkinson, University of Iowa (889-65-595)

3:30 p.m. On the convergence order of Brent's algorithm. (995) Florian A. Potra, University of Iowa, and Ylxun

Shi*, Bloomsburg University of Pennsylvania (889-65-354)

3:45 p.m. On the geometry of Halley's method. (996) Thomas R. Scavo*, Syracuse, New York, and

John B. Thoo, University of California, Davis (889-65-472)

4:00 p.m. Block Schur decomposition of a matrix. (997) Purandar Sarmah, University of Florida

(889-65-602) 4:15 p.m. Nonuniformity of finite element error estimates

(998) for narrow Courant tetrahedrons. AI Shenk, University of California at San Diego, La Jolla (889-65-605)

4:30p.m. A locking free finite element for arches. (999) Changyl Chen, Pennsylvania State University,

University Park (889-65-645) 4:45 p.m. On the dynamics and the role of

(1000) the imperfection for localization in therrno-viscoplastic materials. Dawn Lott Crumpler*, Alvin Baylis, Ted Belytschko, Northwestern University, and Makarand Kulkarni, National Aeronautics & Space Administration, Virginia (889-65-782)

AMS Session on Rings and Algebras

2:15 p.m.-5:55p.m.

2:15p.m. Self-duality of square-free rings. Preliminary (1 001) report.

Barbara D'Ambrosia, University of Oregon (889-16-389)

2:30 p.m. Semicommutative n:-regular rings. Preliminary (1002) report.

Ayman R. Badawi, Emory and Henry College (889-16-146)

2:45 p.m. Fully prime rings. ( 1 003) Hisaya Tsutsui*, Millersville University of

Pennsylvania, and William D. Blair, Northern Illinois University (889-16-570)

3:00 p.m. The maximal symmetric ring of quotients. (1004) Scott Lanning, University of Wisconsin,

Madison (889-16-680)

3:15p.m. Automorphisms of projective modules and (1005) Bass's first stable range condition.

Michael J. Canfell, University of New England, (889-16-769)

3:30 p.m. Localization of non-commutative rings at (1006) generalized multiplicarively closed sets.

Hossain Khabazian, Isfahan University of Technology, Iran (889-16-687)

3:45 p.m. A note on module homomorphisms. (1007) John Koker, University of Wisconsin, Oshkosh

(889-16-596)

4:00 p.m. A bosonic construction of a vertex operator (1008) para-algebra forc;o. Preliminary report.

Michael D. Weiner, State University of New York, Binghamton (889-17-667)

4:15p.m. Stability of root multiplicities. (1009) Seok-Jin Kang, University of Notre Dame, and

Duncan J. Melville*, StLawrence University (889-17-641)

4:30p.m. Quantized universal enveloping algebras and (1010) their duals. Preliminary report.

M. Chakrabarti, University of Wisconsin, Madison (889-17 -703)

4:45 p.m. Stable Artin algebras. (1011) S. Jagadeeshan* and Mark Kleiner, Syracuse


5:00 p.m. Coalgebras over the higher rank symplectic (1012) groups.

Anna Maria Paolucci, University of Iowa (889-16-763)

5:15p.m. The deformation complex for differential graded (1013) Hopf algebras.

Ronald N. Umble, Millersville University of Pennsylvania (889-18-571)

5:30 p.m. The nonabelian tensor square of a 2-Engel (1014) group.

Michael Bacon, University of Wisconsin, Platteville, and Luise-Chariotte Kappe*, State University of New York, Binghamton (889-20-276)

5:45p.m. Finite n-coverings of groups. (1015) Marc A. Brodie, Adirondack Community

College, Queensbury, NY (889-20-277)

AMS Session on Number Theory, II

2:15 p.m.-5:40p.m.

2:15p.m. A new theory of primes. (1016) Robert J. Mack, Amherst, New York

(889-11-59)



2:30 p.m. On Markoff and dispersion constants. (1017) Amltabha Tripathi, Indian Institute of

Technology, (889-11-394) (Sponsored by Rakesh)

2:45 p.m. Test of divisibility by any integer. (1018) R. Kit Klttappa, Millersville University

(889-11-568)

3:00 p.m. Arithmetic equivalence and lwasawa invariants. (1019) Robert Perils* and Nancy Segal, Louisiana

State University, Baton Rouge (889-11-740)

3:15p.m. The representation of numbers as sums of (1020) unlike powers.

Kevin B. Ford, University of Illinois, Urbana-Champaign (889-11-191)

3:30 p.m. Bernoulli numbers of general index. (1021) C. Muses, Mathematics & Morphocology

Education & Research Center (889-11-165)

3:45 p.m. Proof of a result by Jarden by generalizing a (1 022) proof by Carlitz.

Curtis Cooper* and Robert E. Kennedy, Central Missouri State University (889-11-505)

4:00 p.m. On the density of certian sets involving the (1023) digital sum function.

Robert E. Kennedy* and Curtis Cooper, Central Missouri State University (889-11-506)

4:15p.m. Number field sieve with several large primes. (1024) Preliminary report.

Peter L. Montgomery, CWI, Amsterdam (889-11-188)

4:30 p.m. Some new examples of Stark's conjectures. (1025) Preliminary report.

Brett A. Tangedal, University of California at San Diego, La Jolla (889-11-467)

4:45p.m. Trace form relations via induced (1 026) representations. Preliminary report.

Patricia W. Beaulieu*, University of Southwestern Louisiana, and Tommy Palfrey, Xavier University of Louisiana (889-11-452)

5:00 p.m. A new characterization of arithmetic (1027) equivalence.

Donna Stuart*, University of Nebraska, Omaha, and Robert Perils, Louisiana State University, Baton Rouge (889-11-550)

5:15p.m. Parametrizing Jacobians of hyperelliptic curves. (1028) Preliminary report.

P. B. Van Wamelen, University of California at San Diego, La Jolla (889-11-419)

5:30 p.m. Dirichlet-type theorems in projective space. (1 029) Stephanie M. Tyler, University of Texas, Austin

(889-11-396)

AMS Session on Functional Analysis

2:15 p.m.-5:40 p.m.

2:15p.m. Non-linear Carleman operators on Banach (1030) lattices. Preliminary report.

William Feldman, University of Arkansas, Fayetteville (889-46-660)

2:30 p.m. Bundles of Banach algebras, II. (1031) J. W. Kitchen, Duke University, and D. A.

Robbins*, Trinity College (889-46-131)

2:45 p.m. Remarks on a paper of Abramovich, Aliprantis (1032) and Burkinshaw.

S. Swaminathan, Dalhousie University (889-46-493)

3:00p.m. Geometric properties of Calderon-Lozanovskii (1033) spaces.

H. Hudzik, A Mickiewicz University, Poland, and A. Kamlnska*, Memphis State University (889-46-563)

3:15p.m. Finding lost Radon-Nikodym derivatives. (1034) G. Beate Zimmer, University of Illinois,


3:30 p.m. Generalizing the compact range property. (1 035) Bryan Dawson, Emporia State University

(889-46-423)

3:45 p.m. Geometry of the dual and higher order duals of (1 036) Orlicz spaces.

Shutao Chen, Harbin Normal University, Peoples Republic of China, Henryk Hudzik* and Marek Wisla, A Mickiewicz University, Poland, (889-46-777)

4:00 p.m. Measures of noncompactness in Orlicz modular (1 037) spaces.

Asuman G. Aksoy*, Claremont McKenna College, and J.B. Baillon, University of Lyon I-IMJ, France (889-46-353)

4:15p.m. A note on Morita equivalence of twisted (1 038) c· -dynamical systems.

Steven P. Kaliszewski, Dartmouth College (889-46-762)

4:30 p.m. Factorization in stable C*-algebras. (1 039) Michael Leen, University of Oregon

(889-46-622)

4:45 p.m. Self adjoint idempotents. Preliminary report. (1 040) John P. Holmes, Auburn University, Auburn

(889-46-379)

5:00 p.m. Taylor series expansions for eigenvalues and ( 1 041) eigenfunctions of parametrized composition

operators. Chris Thron, University of Kentucky (889-46-390) (Sponsored by Clasine van Winter)

5:15p.m. On BH envelopes, convex series, and local (1042) completeness.

Jeff Connor and Gene Kaufman*, Ohio University, Athens (889-46-520)

5:30p.m. Relative numerical ranges in topological (1043) algebras.

A. K. Gaur, Duquesne University (889-46-739)

MAA Session on Curriculum Projects in Undergraduate Mathematics

2:15 p.m.-5:55p.m.

2:15p.m. A laboratory approach to introductory differential ( 1 044) geometry.

Thomas F. Banchoff, Brown University

2:40 p.m. Combinatorics and discovery for first-year (1045) students in the University of Michigan Honors

College. Joan Hutchinson, Macalester College

3:05 p.m. A new start for college mathematics. (1046) Walter Meyer, Adelphi College


1434

··························-·--



3:30 p.m. Snapshots of applications in mathematics. (1047) Dennis Callas, State University

3:55 p.m. Elementary statistics laboratory. (1048) John D. Spurrier*, Don Edwards and Lori A.

Thombs, University of South Carolina 4:20 p.m. Activity-based statistics: From sage on stage to

(1049) energetic engagement. Richard L. Scheaffer, University of Florida

4:45 p.m. An introductory mathematics course called (1050) CHANCE.

J. Laurie Snell*, Dartmouth College, and Joan Garfield, University of Minnesota

5:10p.m. Algebra with applications to environmental (1051) issues.

Christopher Schaufele, Kennesaw State College

5:35 p.m. Future directions for NSF programs in (1052) undergraduate education.

Elizabeth Tales* and James H. Lightbourne, Ill, National Science Foundation

AMS Panel Discussion

2:15 p.m.-3:00p.m.

Future mathematics meetings: is change desirable?

Moderator: Hugo Rossi, University of Utah Panelists: Johnny L. Houston, Elizabeth City State

University Andy R. Magid, University of Oklahoma Catherine S. Roberts, University of Rhode Island Kenneth A. Ross, University of Oregon, Eugene Jean E. Taylor, Rutgers University

NAM Business Meeting

2:15 p.m.-3:00p.m.

MAA CUPM Subcommittee on Quantitative Literacy Open Meeting

2:45 p.m.-4:00 p.m.

AMS Special Session on Meetings of Mathematicians, Ill

3:15 p.m.-5:05p.m.

3:15p.m. How meetings have and can support (1053) mathematical research.

Saunders Mac Lane, University of Chicago (889-01-301)

3:45 p.m. Motivating interest in, attendance at, and (1054) participation in, various mathematics meetings.

Beauregard Stubblefield, Houston, Texas (889-01-613)

4:15p.m. Organizing an annual meeting. (1055) Paul T. Bateman, University of Illinois,

Urbana-Champaign (889-01-480) 4:45 p.m. The evolution of joint meetings.

(1056) Kenneth A. Ross, University of Oregon (889-01-612)


3:15 p.m.-5:15p.m.

Interactive computer graphics laboratories for introductory differential geometry. Thomas F. Banchoff, Brown University


3:15 p.m.-5:15p.m.

Designing question-based mathematics courses. Lawrence E. Copes and Su Doree, Augsburg College


3:15 p.m.-5:15p.m.

Calculus: an active approach with projects. Stephen R. Hilbert, John C. Macell, Diane D. Schwartz, Stanley E. Seltzer and Eric E. Robinson, Ithaca College


3:15 p.m.-5:15p.m.

Teaching applied math via Maple. Robert J. Lopez, Rose-Hulman Institute of Technology

MAA Committee on Mathematicians Outside Academia Panel Discussion

3:15 p.m.-4:45p.m.

Mathematical life outside academia-input from the real world. Moderator: S. Brent Morris, National Security Agency Organizer: Burton H. Colvin, National Institute of Standards

and Technology Robert J. Thompson, Sandia National Labs

Robert J. Daverman AMS Associate Secretary Knoxville, Tennessee

Kenneth A. Ross MAA Associate Secretary Eugene, Oregon


Invited Addresses and Special Sessions

Invited Addresses at AMS Meetings The individuals listed below have accepted invitations to address the Society at the times and places indicated. For some meetings the list of speakers is incomplete. For full announcements or programs of meetings occurring prior to the first meeting listed below see the table of contents in this issue. Invited addresses at Sectional Meetings are selected by the Section Program Committee, usually twelve to eighteen months in advance of a meeting. Members wishing to nominate candidates for invited addresses should send relevant information to the associate secretary for the section who will forward it to the Section Program Committee.

Lexington, KY, March 1994 Jack J. Dongarra George F. McNulty James E. McClure David R. Morrison

Manhattan, KS, March 1994 Marilyn Breen David M. Goss Michael C. Cranston Mei-Chi Shaw

Brooklyn, NY, April 1994 David Bayer Peter B. Kronheimer

Debasis Mitra Nicholai Reshetikhin

Stillwater, OK, October 1994 V. Lakshmibai David J. Wright David E. Marker Joel Zinn

Richmond, VA, November 1994 Loren D. Pitt Doron Zeilberger Cora S. Sadosky

Hartford, CT, March 1995 Ben F. Logan Nina N. Uraltseva

Kari Vilonen Shouwu Zhang

Organizers and Topics of Special Sessions The list below contains all the information about special sessions at meetings of the Society available at the time this issue of the Notices went to the printer.

March 1994 Meeting in Lexington, Kentucky Southeastern Section

Associate Secretary: Robert J. Daverman Deadline for organizers: Expired

Deadline for consideration: Expired James C. Beidleman and Donald B. Coleman, Infinite groups

and group rings Philip L. Bowers, Geometric group theory and metric geome

try Russell M. Brown, John L. Lewis, and Zhongwei Shen,

Partial differential equations and minimal smoothness condition

Karen L. Collins and Ewa M. Kubicka, Graph theory Michael B. Freeman, Collaborative learning in calculus and

precalculus Peter D. Hislop and Peter A. Perry, Inverse spectral problems:

theory and computation Mark A. Hovey and James E. McClure, Homotopy theory George F. McNulty, Combinatorics of words and equations in

algebra, logic, and computer science David R. Morrison, Quantum algebraic geometry Serge Ochanine, Elliptic genera and elliptic cohomology Charles H. Romine, Large-scale matrix computations with

applications M. Beth Ruskai, Mathematics of many-body quantum theory

March 1994 Meeting in Manhattan, Kansas Central Section

Associate Secretary: Andy R. Magid Deadline for organizers: Expired

Deadline for consideration: Expired Andrew G. Bennett and Charles N. Moore, Harmonic analysis

and probability Andrew L. Chermak and Albert L. Delgado, Groups and

geometries Louis Crane and David N. Yetter, Quantum topology David M. Goss, Michael I. Rosen, and Dinesh Thaker, Global

fields Robert A. Gustafson, Special functions A. Alexandrou Himonas and Mei-Chi Shaw, Several complex

variables and partial differential equations Lev Kapitanski and Lige Li, Nonlinear topics and critical

phenomena in partial differential equations Zongzhu Lin and David B. Surowski, Representations of

algebraic groups and quantum groups Gabriel Nagy and Vladimir V. Peller, Operator theory Joseph M. Rosenblatt, Convergence problems in ergodic

theory Misha Vishik, Dynamical systems and fluid dynamics


lll IIIIi 1 .IIIII :; lB Invited Addresses and Special Sessions

Hunan Yang and Qisu Zou, Computational mathematics and numerical analysis

April1994 Meeting in Brooklyn, New York Eastern Section

Associate Secretary: Lesley M. Sibner Deadline for organizers: Expired

Deadline for consideration: January 7, 1994

Boris Aronov, Computational geometry Craig J. Benham, Mathematical problems in molecular biology Joan S. Birman, Sylvain E. Cappell, and Edward Y. Miller,

Invariants of low dimensional manifolds Jozef Dodziuk and Edgar A. Feldman, Geometric analysis Benjamin Fine, Anthony M. Gaglione, and Kathryn Kuiken,

Combinatorial group theory and related topics Frederick P. Gardiner and Yunping Jiang, Teichmiiller theory

and dynamical systems Dorian Goldfeld, Analytic number theory Jacob E. Goodman and Erwin Lutwak, Geometric convexity Pao-sheng Hsu and L. Narisi, Topological methods; topologi-

cal measure theory Yanyan Li, Partial differential equations Janos Pach and William Steiger, Discrete geometry Kurt S. Riedel, Mathematical methods in plasma physics Robert J. Sibner, Gauge theory and applications Alan A. Weiss, Models in telecommunications

June 1994 Meeting in Eugene, Oregon Western Section

Associate Secretary: Lance W. Small Deadline for organizers: Expired

Deadline for consideration: March 14, 1994

August 1994 Meeting in Minneapolis, Minnesota Associate Secretary: Lesley M. Sibner

Deadline for organizers: Expired Deadline for consideration: April 26, 1994

October 1994 Meeting in Stillwater, Oklahoma Central Section

Associate Secretary: Andy R. Magid Deadline for organizers: JanUa/)' 28, 1994 Deadline for consideration: July 13, 1994

Ara S. Basmajian and Robert R. Miner, Complex hyperbolic geometry and discrete groups

Edward T. Cline, Representations of algebraic groups Bruce C. Crauder and Zhenbo Qin, Algebraic geometry Edward G. Dunne and Roger C. Zierau, Geometry and

representations of Lie groups Benny D. Evans, The evolving undergraduate mathematics

curriculum Vladimir Ezhov and Alan V. Noell, Several complex variables Jerry A. Johnson, Technology in the classroom

November 1994 Meeting in Richmond, Virginia Southeastern Section

Associate Secretary: Robert J. Daverman Deadline for organizers: February 11, 1994 Deadline for consideration: July 13, 1994

Paul S. Bourdon and William T. Ross, Operator on Banach spaces of analytic functions

January 1995 Meeting in San Francisco, California Associate Secretary: Andy R. Magid

Deadline for organizers: April 2, 1994 Deadline for consideration: September 9, 1994

March 1995 Meeting in Hartford, Connecticut Eastern Section

Associate Secretary: Lesley M. Sibner Deadline for organizers: June 3, 1994

Deadline for consideration: To be announced

March 1995 Meeting in Orlando, Florida Southeastern Section

Associate Secretary: Robert J. Daverman Deadline for organizers: June 17, 1994


Robert C. Brigham and Richard P. Vitray, Combinatorics and graph theory

John R. Cannon, Inverse and ill-posed problems S. Roy Choudhury, Nonlinear dynamical systems, chaos, and

turbulence S. Roy Choudhury and Lokenath Debnath, Solitons and

nonlinear waves Xin Li and Ram N. Mohapatra, Approximation theory and

special functions Piotr Mikusinski, New trends in generalized functions Ahmed I. Zayed, Sampling theory, wavelets, and signal

processing

March 1995 Meeting in Chicago, Illinois Central Section

Associate Secretary: Andy R. Magid Deadline for organizers: June 24, 1994


November 1995 Meeting in Kent, Ohio Central Section

Associate Secretary: Andy R. Magid Deadline for organizers: Februal)' 4, 1995


January 1996 Meeting in Orlando, Florida Associate Secretary: Lance W. Small

Deadline for organizers: April 12. 1995 Deadline for consideration: To be announced

March 1996 Meeting in Iowa City, Iowa Central Section

Associate Secretary: Andy R. Magid Deadline for organizers: June 22, 1995


Daniel D. Anderson, Commutative ring theory


-·--············

Invited Addresses and Special Sessions

Apri/1996 Meeting in Baton Rouge, Louisiana Southeastern Section

Associate Secretary: Robert J. Daverman Deadline for organi:ers: July 19. 1995

Deadline j(w consideration: To he awwunced

january 1997 Meeting in San Diego, California Associate Secretary: Lesley M. Sibner

Deadline j(w mxani:ers: April 8, 1996 Deadline for consideration: To be muwunced

Information for Organizers potential organizers should refer to the January, February. March. or April issues of the Notices for guidelines on organizing a session. Proposals for any of the meetings mentioned in the preceding section should be sent to the cognizant associate secretary by the deadline indicated. No special sessions can be approved too late to provide adequate advance notice to members who wish to participate. Western Section

Central Section

Andy R. Magid, Associate Secretary Department of Mathematics University of Oklahoma 60 I Elm PHSC 423 Norman. OK 73019 E-mail: g...111agid@math. ams. org Telephone: 405-325-6711

Eastern Section

Lesley M. Sibner. Associate Secretary Department of Mathematics Polytechnic University Brooklyn, NY 11201-2990 E-mail: g_sibner@math. ams. org Telephone: 718-260-3505

Southeastern Section

Robert J. Daverman. Associate Secretary Depru1ment of Mathematics University of Tennessee Knoxville, TN 37996-1300 E-mail: g_daverman@math. ams. org Telephone: 615-974-6577 Lance W. Small, Associate Secretary

Department of Mathematics University of California, San Diego La Jolla. CA 92093 E-mail: g_small@math. ams. org Telephone: 619-534-3590

Information on site selection for Sectional Meetings as well as full instructions for submitting abstracts can be found in the January, February, March, and April issues of the Notices.

DIMACS: Series in Discrete Mathematics and Theoretical Computer Science

Advances in Computational Complexity Theory Jin-Yi Cai, Editor Volume 13

This collection of recent papers on computational complexity theory grew out of activities during a special year at DIMACS. With contributions by some of the leading experts in the field, this book is of lasting value in this fast-moving field, providing expositions not found elsewhere. Although aimed primarily at researchers in complexity theory and graduate students in mathematics or computer science, the book is accessible to anyone with an undergraduate education in mathematics or computer science. By touching on some of the major topics in complexity theory, this book sheds light on this burgeoning area of research.

1991 Mathematics Subject C/ass!ficatiou: 68: 05 ISBN 0-8218-6597-8. 209 pages (hardcover). October 1993 Individual member $50. List pril.:e $84. Institutional member $67 To order. please specify DIMACS/13NA

All prices subject to change. Free shipment by surface: for air delivery. please add $6.50 per title. Prepayment required. Order from: American Mathematical Societ}. P.O. Box 5904. Boston, MA 01206-5904, or call toll free 800-321-4AMS (321-4267) in the U.S. and Canada to charge with VISA or MasterCard. Residents of Canada, please include 7% GST.


Joint Summer Research Conferences in the Mathematical Sciences Mount Holyoke College, South Hadley, Massachusetts, June 11 to July 15, 1994 I

The 1994 Joint Summer Research Conferences in the Mathematical Sciences will be held at Mount Holyoke College, South Hadley, Massachusetts, from June 11 to July 15. It is anticipated that the series of conferences will be supported by grants from the National Science Foundation and other agencies.

There will be six conferences in six different areas of mathematics. The topics and organizers for the conferences were selected by the AMS, the Institute of Mathematical Statistics (IMS), and the Society for Industrial and Applied Mathematics (SIAM) Committee on Joint Summer Research Conferences in the Mathematical Sciences. The selections were based on suggestions made by the members of the committee and individuals submitting proposals. The committee considered it important that the conferences represent diverse areas of mathematical activity, with emphasis on areas currently especially active, and paid careful attention to subjects in which there is important interdisciplinary activity at present.

The Joint Summer Research Conferences are intended to complement the Society's program of annual Summer Institutes and Summer Seminars, which have a larger attendance and are substantially broader in scope. The conferences are research conferences and are not intended to provide an entree to a field in which a participant has not already worked.

It is expected that funding will be available for a limited number of participants in each conference. Others, in addition to those funded, will be welcome, within the limitations of the facilities of the campus. In the spring a brochure of information will be mailed to all who are requesting to attend the conferences. The brochure will include information on room and board rates, the residence and dining hall facilities, travel, local information, and a Residence Housing Form to request on-campus accommodations. Information on off-campus housing will also be included in the brochure. Participants will be responsible for making their own housing and travel arrangements. Each participant will be required to pay a conference fee.

Those interested in attending one of the conferences should send the following information to the Summer Research Conference Coordinator, Conferences Department, American Mathematical Society, Post Office Box 6887, Providence, RI 02940; fax: 401-455-4004; e-mail: chh@math. ams. org.

........ _.]

Please type or print the following:

1. Title and dates of conference desired. 2. Full name. 3. Mailing address. 4. Telephone number and area code for office and home,

e-mail address, fax number. 5. A short paragraph describing your scientific background

relevant to the topic of the conference. Also indicate if you are a graduate or undergraduate student, or if you received your Ph.D. on or after 7/1/88.

6. Financial assistance requested; please estimate cost of travel.

7. Indicate if support is not required and if interested in attending even if support is not offered.

The deadline for receipt of requests for information is March 4, 1994. Requests to attend will be forwarded to the Organizing Committee for each conference for consideration after the deadline of March 4. All applicants will receive a formal invitation, Brochure of Information, notification of financial assistance, and a tentative scientific program (if the chair has prepared one in advance; otherwise, programs will be distributed at on-site registration) from the AMS by May 1. Funds available for these conferences are limited and individuals who can obtain support from other sources should do so. The allocation of grant funds is administered by the AMS office, and the logistical planning for the conferences is also done by the AMS. However, it is the responsibility of the chair of the Organizing Committee of each conference to determine the amount of support participants will be awarded. This decision is not made by the AMS. Women and minorities are encouraged to apply and participate in these conferences.

Any questions concerning the scientific portion of the conference should be directed to the chair or any member of the Organizing Committee.

The Joint Summer Research Conferences in the Mathematical Sciences are under the direction of the AMS-IMS-SIAM Committee on Joint Summer Research Conferences in the Mathematical Sciences. The following committee members chose the topics for the 1994 conferences: Fan R. K. Chung, 1

Leonard Evens, Alan F. Karr, Peter W. K. Li, Bart Ng, Stewart B. Priddy, Robert J. Serfling, Michael Shub, William E. Strawderman, and Sue Whitesides.

N.B. Lectures begin on Sunday morning and run through Thursday. Check in for housing begins on Saturday. No lectures are held on Saturday.


.. ..-·-···· ····· a Meetings

Please refer to the November issue of the Notices for complete

descriptions.

saturday, June 11, to Friday, June 17

Continuous algorithms and complexity

Saturday, June 25, to Friday, July 1

Markov chain Monte Carlo methods

ALAN GELFAND (University of Connecticut), chair

Saturday, July 2, to Friday, July 8 J. F. TRAUB (Columbia University), co-chair

J. RENEGAR (Cornell University), co-chair Periodicity and structured homology theories in homotopy theory

Saturday, June 18, to Friday, June 24

Moonshine, the monster, and related topics

GEOFFREY MASON (University of California, Santa Cruz), chair

PAUL G. GoERSS (University of Washington), co-chair

HAL SADOFSKY (Johns Hopkins University), co-chair

PAUL L. SHICK (John Carroll University), co-chair

Saturday, July 9, to Friday, July 15

CHONGYING DONG (University of California, Santa Cruz), co-chair JoHN McKAY (Concordia University), co-chair

Bergman spaces and the operators that act on them

STEPHEN D. FISHER (Northwestern University), co-chair

SHELDON AXLER (Michigan State University), co-chair

PETER L. DuREN (University of Michigan), co-chair Saturday, June 25, to Friday, July 1

Multidimensional complex dynamics

ERIC D. BEDFORD (Indiana University), co-chair JoHN-ERIK FoRNJESS (University of Michigan, Ann Arbor), co-chair

UNIVERSITY LECTURE SERIES

Group Characters, Symmetric Functions, and the Heeke Algebra David Goldschmidt Volume 4

The book is made up of lecture notes from a course taught by Goldschmidt at the University

of California at Berkeley in 1989. The course was organized in three parts. Part I covers, among

other things, Burnside's Theorem that groups of order p"q1' are solvable, Frobenius's Theorem

on the existence of Frobenius kernels, and Brauer's characterization of characters. Part II covers

the classical character theory of the symmetric group and includes an algorithm for computing

the character table of S"; a construction of the Specht modules; the "determinant form" for

the irreducible characters; the hook-length formula of Frame, Robinson, and Thrall; and the

Murnaghan-Nakayama formula. Part III covers the ordinary representation theory of the Heeke

algebra, the construction of the two-variable Jones polynomial, and a derivation of Ocneanu's

"weights" due to T. A. Springer.

1991 Mathematics Subject Classification: 20, 57 ISBN 0-8218-7003-3, 73 pages (softcover), June 1993 Individual member $42, List price $70, Institutional member $56 To order, please specify ULECT/4NA


Society, P.O. Box 5904, Boston, MA 02206-5904, or call toll-free 800-321-4AMS (321-4267) in the U.S. and Canada to charge with VISA or MasterCard.

Residents of Canada, please include 7o/r GST.


Symposium on Quantization and Nonlinear Wave Equations

Massachusetts Institute of Technology, Cambridge, Massachusetts

June 7-11, 1994

With the support of a fund established by Dr. and Mrs. Carroll V. Newsom in honor of the memory of John von Neumann and anticipated support from the National Science Foundation, a symposium on Quantization and nonlinear wave equations will take place at the Massachusetts Institute of Technology, Cambridge, Massachusetts, from Tuesday through Saturday, June 7-11, 1994.

The topic was selected by the AMS Committee on Summer Institutes and Special Symposia, whose members at the time of selection were William Browder, Princeton University; Donald L. Burkholder, University of Illinois; Lawrence Craig Evans, University of California, Berkeley; Melvin Hochster, University of Michigan; Nicholas Katz, Princeton University; Brian Parshall (chair), University of Virginia; Jean-Francais Treves, Rutgers University; and Edward Witten, Institute for Advanced Study. Proceedings will be published by the American Mathematical Society.

The Organizing Committee for the symposium includes William Arveson, University of California, Berkeley; Robert Blattner, University of California, Los Angeles; Haim Brezis, Rutgers University and University of Paris (co-chair); Thomas Branson, University of Iowa; and Irving Segal, Massachusetts Institute of Technology (co-chair).

The symposium will review, report recent progress in, and survey possible future directions in the field of physical mathematics that was at the heart of von Neumann's motivation and some of his most seminal contributions. Session topics include the global theory of classical nonlinear wave equations and its differential geometric and general relativistic aspects; the mathematical theory of quantum fields and its algebraic and constructive aspects; operator algebra, groups of automorphisms, and new directions in quantum mechanics; and symplectic quantization and group representations.

A list of prospective speakers includes William Arveson, University of California, Berkeley; Robert Blattner, University of California, Los Angeles; Thomas Branson, University of Iowa; Haim Brezis, Rutgers University and University of Paris; Yvonne Choquet-Bruhat, University of Paris; Alain Cannes, College de France and Institute des Hautes Etudes Scientifiques; Ludwig Faddeev, Steklov Mathematical Institute; Charles Fefferman, Princeton University; Jurg Frohlich, Eidgenosse Technische Hochschule; Izrail Gelfand, Rutgers University; Leonard Gross, Cornell University; Roger Howe, Yale University; Arthur Jaffe, Harvard University; Palle Jorgensen, University of Iowa; Sergiu Klainerman, Princeton University; David Kazhdan, Harvard University; Peter Lax, Courant Institute of Mathematical Sciences; Robert Power,

University of Pennsylvania; Richard Schoen, Stanford University; Irving Segal, Massachusetts Institute of Technology; Walter Strauss, Brown University; Michelle Vergne, Centre de Recherche Scientifique; Arthur Wightman, Princeton University; and Zhengfang Zhou, Michigan State University.

A list of prospective panel discussion leaders includes Victor Guillemin, Massachusetts Institute of Technology; Cathleen S. Morawetz, Courant Institute of Mathematical Sciences; P. L. Lions, University of Paris; and David Vogan, Massachusetts Institute of Technology.

One afternoon will be free of scheduled talks in order to facilitate ad hoc scientific discussions or visits to sites of general interest in the greater Boston area.

Accommodations will be in MIT dormitories located on the Charles River a short walk from the meeting area. Rooms of several sizes and types will be available, both with and without a meal plan. MIT is conveniently reached by subway or taxi from the rail terminus, South Station, or Logan Airport in a matter of minutes. MIT adjoins Kendall Square, which is well supplied with hotels and restaurants. The meeting area will be close to the Institute Science Library and nearby discussion/seminar rooms will be available.

In the spring a brochure of information will be mailed to all who are requesting to attend the symposium. The brochure will include information on room and board rates, the residence and dining hall facilities, travel, local information, and a Residence Housing Form to request on-campus accommodations. Information on off-campus housing will also be included in the brochure. Participants will be responsible for making their own housing and travel arrangements. It is expected that funding will be available for a limited number of participants. Limited support is expected to be available for graduate students. A social fee of $15 will be required.

Those interested in attending the symposium should send the following information to the Symposium Conference Coordinator, Meetings and Conferences Department, American Mathematical Society, Post Office Box 6887, Providence, Rl 02940; fax: 401-455-4004; e-mail: wsd@math. ams. org.

Please type or print the following: 1. Full name. 2. Mailing address. 3. Telephone number and area code for office and home,

e-mail address, fax number. 4. A short paragraph describing your scientific background

relevant to the topic of the conference. 5. Financial assistance requested; please estimate cost of

travel.


Meetings

Indicate if support is not required and if interested in 6· attending even if support is not offered.

7. Indicate if graduate student, undergraduate student, or Ph.D. received on or after 7/1188.

The deadline for receipt of requests for information ·s March 1, 1994. Requests to attend will be forwarded :o the Organizing Committee for consideration after the deadline of March 1. All applicants will receive a formal invitation, Brochure of Information, notification of financial assistance, and a tentative scientific program (if the co-chairs have prepared one in advance; otherwise, programs will be distributed on-site) from the AMS by May l, 1994. Funds

available for the symposium are limited, and individuals who can obtain support from other sources should do so. The allocation of grant funds is administered by the AMS office, and the logistical planning for the conferences is also done by the AMS. However, it is the responsibility of the co-chairs of the Organizing Committee to determine the amount of support participants will be awarded. Women and minorities are encouraged to apply and participate in this symposium.

Any questions concerning the scientific portion of the symposium should be directed to Irving Segal, MIT, Room 2-244, Cambridge, MA 02139; telephone: 617-253-4985; e-mail: ies@math .mit. edu.

...................................................... TRANSLATIONS OF MATHEMATICAL MONOGRAPHS

Functions on Manifolds Algebraic and Topological Aspects V. V. Sharko Volume 13 1

This monograph covers in a unified manner new results on smooth functions on manifolds. A major topic is Morse and Bott functions with a minimal number of singularities on manifolds of dimension greater than five. Sharko computes obstructions to deformation of one Morse function into another on a simply connected manifold. In addition, a method is developed for constructing minimal chain complexes and homotopical systems in the sense of Whitehead. This lead to conditions under which Morse functions on non-simply-connected manifolds exist. Sharko also describes new homotopical invariants of manifolds, which are used to substantially improve the Morse inequalities. The conditions guaranteeing the existence of minimal round Morse functions are discussed.

1991 Mathematics Subject Classification: 57, 58 ISBN 0-8218-4578-0, 193 pages (hardcover), November 1993 Individual member $59, List price $98, Institutional member $78

To order, please specify MMON0/131NA

........................................................ All prices subject to change. Free shipment by surface: for air delivery, please add $6.50 per title. Prepayment required. Order from: American Mathematical Society, P.O. Box 5904, Boston, MA 02206-5904, or call toll free 800-321-4AMS (321-4267) in the U.S. and Canada to charge with VISA or MasterCard. Residents of Canada, please include 7% GST.


································································-·----,

Call for Topics for 1995 Conferences

Suggestions are invited from mathematicians, either singly or in groups, for topics for the Joint Summer Research Conferences in the Mathematical Sciences in 1995. An application form to be used when submitting suggested topic(s) for any of these conferences may be obtained by writing to the Director of Meetings, American Mathematical Society, P. 0. Box 6887, Providence, RI 02940; or by telephone: 401-455-4146; fax: 40 1-455-4004; or e-mail: meet(Qmath. ams. or g.

Individuals willing to serve as organizers should be aware that the professional conference coordinators in the Society's Providence office will provide full support and assistance before, during, and after each of these conferences, thereby relieving the organizers of most of the administrative detail. Organizers should also note that proceedings are frequently published. A member of the Organizing Committee will serve as editor of the proceedings.

All suggestions must include ( 1) the names and affiliations of proposed members and the chair of the Organizing Committee; (2) a one- to two-page description addressing the focus of the topic, including the importance and timeliness of the topic and estimated attendance; (3) a list of the recent conferences in the same or closely related areas; (4) a tentative list of names and affiliations of the proposed principal speakers; and (5) a list of likely candidates who would be invited to participate and their current affiliations.

1995 AMS-IMS-SIAM Joint Summer Research Conferences in the

Mathematical Sciences These conferences, jointly sponsored by the AMS, the Institute for Mathematical Statistics (IMS), and the Society for Indus-

····---l

trial and Applied Mathematics (SIAM), emulate the scientific structure of those held at Oberwolfach and represent diverse areas of mathematical activity, with emphasis on areas currently especially active. Careful attention is paid to subjects in which there is important interdisciplinary activity at present. A one-week or two-week conference may be proposed. Topics for the twelfth series of one-week conferences being held in 1993 are Curvature equations in conformal geometry; Multivariable operator theory; Spectral geometry; Recent developments in the inverse Galois problem; Mathematics of superconductivity; Distributions with fixed marginals, doubly stochastic measures, and Markov operators; and Applications of hypergroups and related measure algebras.

Proposals will be considered by the AMS-IMS-SIAM Committee on Joint Summer Research Conferences in the Mathematical Sciences. If proceedings are published by the AMS, they appear as volumes in the series Contemporary Mathematics.

Deadline For Suggestions: February 1, 1994

Submit suggestions to: AMS Director of Meetings, P. 0. Box 6887, Providence, RI 02940; fax: 401-455-4004; e-mail: [email protected].


Mathematics Sessions at the AAAS Annual Meeting San Francisco, CA, February 18-23, 1994

The annual meeting of the American Association for the Advancement of Science (AAAS), February 18-23, 1994, in San Francisco, California, will feature many outstanding expository talks by prominent mathematicians. These talks include the following symposia (three-hour sessions) and invited addresses cosponsored by Section A (Mathematics) of the AAAS and the American Mathematical Society. In addition to providing travel support to speakers in these sessions, the AMS has a committee to act as liaison with the AAAS. The Society believes that strengthening its ties with the AAAS helps to create new opportunities for mathematicians to interact with scientists from all disciplines.

The names and affiliations of the organizers and speakers follow: • Phase transitions, organized by Jennifer Tour Chayes,

University of California, Los Angeles. (Christian H. Borgs, Free University of Berlin; D. B. Abraham, Oxford University; Steve Kivelson, University of California, Los Angeles.)

• Mathematics, sculpture, and architecture, organized by Nathaniel Friedman, SUNY at Albany. (Harriet Brisson, Rhode Island College; Stewart Dickson, Post Group Digital Center, Hollywood, CA; Charles Perry, sculptor; Rhonda Roland Shearer, sculptor.)

• The unreasonable effectiveness of number theory, organized by Stefan Burr, CUNY, and Manfred R. Schroder, University of Gottingen. (Fan R. K. Chung, Bellcore; Jeffrey C. Lagarias, AT&T Bell Labs.)

• Frontiers of Physical Sciences lecture: The stability of matter from atoms to stars, Elliott Lieb, Princeton University.

• Topical Theme lecture: Fermat's Last Theorem, Karl Rubin, Ohio State University.

Other symposia that may be of interest to mathematicians and mathematics educators include: • Is visualization really necessary for science?, organized

by Nahum Gershon, MITRE.

• The third international math and science study, organized by Dorothy M. Gilford, National Academy of Sciences, and Daniel Horvitz, National Institute of Statistical Sciences.

• Frontiers of the physical sciences, organized by Rolf Sinclair, National Science Foundation.

• Face recognition by computers and people, organized by James C. Bartlett, University of Texas.

The above symposia represent only a few of the approximately 130 AAAS program offerings that will broaden the perspectives of students and professionals alike. Indeed, AAAS annual meetings showcase American science and deserve greater mathematical participation. The Section A Committee seeks organizers and speakers who can present substantial new material in understandable ways. This task is not easy, but the outstanding success of the mathematics symposia at last year's AAAS annual meeting in Boston proved that effort and inspiration can accomplish wonders. The 1993 mathematics program demonstrated that first-rate mathematical researchers can also effectively reach a broad and diverse scientific audience.

Section A of the AAAS knows that increasing the representation and participation of mathematicians at AAAS annual meetings offers an important means for deepening public awareness and appreciation of the manifold ways that mathematics contributes to science and society.

For details about the symposia see the October 8, 1993, issue of Science. Participants are invited to attend the Section A committee meeting, noon to 2:00 p.m., Sunday, February 20, 1993, in the Teakwood B Room, San Francisco Hilton hotel. This meeting is open to all who wish to stimulate interest in activities of the mathematical sciences within the AAAS. Symposia proposals for future AAAS meetings should be sent to: Warren Page, Secretary of Section A, AAAS, Department of Mathematics, New York City Technical College, CUNY, 300 Jay St., Brooklyn, NY 11201.


Mathematical Sciences Meetings and Conferences

THIS SECTION contains announcements of meetings and conferences of interest to some segment of the mathematical public, including ad hoc, local, or regional meetings, and meetings or symposia devoted to specialized topics, as well as announcements of regularly scheduled meetings of national or international mathematical organizations. A complete listing of meetings of the Society, and of meetings sponsored by the Society, will be found inside the front cover. AN ANNOUNCEMENT will be published in the Notices if it contains a call for papers and specifies the place, date, subject (when applicable), and the speakers; a second announcement will be published only if there are changes or necessary additional information. Once an announcement has appeared, the event will be briefly noted in each issue until it has been held and a reference will be given in parentheses to the month, year, and page of the issue in which the complete information appeared. Asterisks (*) mark those announcements containing new or revised information. IN GENERAL, announcements of meetings and conferences held in North America carry only date, title of meeting, place of meeting, names of speakers (or sometimes a general statement on the program), deadlines for abstracts or contributed papers, and source of further information. Meetings held outside the North American area may carry more detailed information. In any case, if there is any application deadline with respect to participation in the meeting, this fact should be noted. All communications on meetings and conferences in the mathematical sciences should be sent to the Editor of the Notices, care of the American Mathematical Society in Providence, or electronically to not i ces\Omath. ams . or g. DEADLINES for entries in this section are listed on the inside front cover of each issue. In order to allow participants to arrange their travel plans, organizers of meetings are urged to submit information for these listings early enough to allow them to appear in more than one issue of the Notices prior to the meeting in question. To achieve this, listings should be received in Providence SIX MONTHS prior to the scheduled date of the meeting. EFFECTIVE with the 1990 volume of the Notices, the complete list of Mathematical Sciences Meetings and Conferences will be published only in the September issue. In all other issues, only meetings and conferences for the twelve-month period following the month of that issue will appear. As new information is received for meetings and conferences that will occur later than the twelve-month period, it will be announced at the end of the listing in the next possible issue. That information will not be repeated until the date of the meeting or conference falls within the twelve-month period.

1993

1993-1994. Mittag-Lerner Institute's Academic Program for 1993-1994: Topology and Algebraic K -theory, Djursholm, Sweden. (Dec. 1992, p. 1274)

December 1993

12-17. Cornelius Lanczos International Centenary Conference, North Carolina State University, Raleigh, NC. (Nov. 1993, p. 1252) 12-18. General Principles of Discretization Algorithms, Theory, and Applications, Oberwolfach, Federal Republic of Germany. (Feb. 1993, p. 187) 12-18. Methoden und Verfahren der Mathematischen Physik, Oberwolfach, Federal Republic of Germany. (Feb. 1993, p. 187) 13-15. Fourth IMA Conference on Cryptography and Coding, Cirencester, UK. (Jul./ Aug. 1993. p. 710)

1444

13-17. Statistics in Ecology and Environmental Monitoring, Dunedin, New Zealand. (Sep. 1993,p.923) 15-17. Groups and Related Topics, Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan. (July/ August 1993, p. 710)

1994

* 1994-1995. Mittag-Lerner Institute's Academic Program for 1994-1995: Statistical Mechanics and Stochastic Analysis, MittagLeffler Institute, Djursholm, Sweden.

PROGRAM: Emphasis will mainly be on statistical mechanics, nonlinear PDEs, and turbulence (fall term);· and stochastic analysis and stochastic processes (spring term). DEADLINES: Application deadline for postdoctoral fellowships: April I, 1994. Send to: Mittag-Leffler Inst., Auraviigen 17, S-182 62 Djursholm, Sweden. INFORMATION: Fall term: A.-J. Kupiainen,


·········-·--

Dept. of Math., P.O. Box 4, SF-00014 University of Helsinki, Finland. Spring tenn: B. Oksendal, Dept. of Math., University of Oslo, Postboks 1053 Blindem, N-0316 Oslo, Norway.

January 1994

January-June 1994. A Semester at CRM: Bifurcations and the Geometry of Vector Fields, Universite de Montreal. (Jan. 1993, p.63) 2-5. Third International Symposium on Artificial Intelligence and Mathematics, Fort Lauderdale, FL. (Jul./Aug. 1993, p. 710) 2-8. Modelltheorie, Oberwolfach, Federal Republic of Germany. (Mar. 1993, p. 285) 3-9. An International Conference on Mathematical Analysis and Signal Processing, Cairo University, Egypt. (Nov. 1993, p. 1252) 3-14. Joint Workshop on Computational Aspects of Geometric Group Theory I, The Geometry Center of the University of Minnesota, Minneapolis, MN. (Sep. 1993, p. 924) 4-7. International Symposium on ViscoElastic Fluids, Tobago (In the Republic of Trinidad and Tobago). (Feb. 1993, p. 187) 4-8. International Conference on Harmonic Analysis and Operator Theory, Caracas, Venezuela. (Jan. 1993, p. 64) 4-9. An International Conference on Mathematical Analysis and Signal Processing, Cairo University, Egypt. (Jul./Aug. 1993, p. 710) 5-7. Semigroup Theory, Hobart, Tasmania, Australia. (Feb. 1993, p. 187) 5-9. Twentieth Holiday Mathematics Sym· posium, New Mexico State University, Las Cruces, NM. (Sep. 1993, p. 924) 9-15. Algebraic Combinatorics: Associa· tion Schemes and Representation Theory, Oberwolfach, Federal Republic of Germany. (Mar. 1993, p. 285) I 0-12. Nonlinear Partial Differential Equa· tions, Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan. (Jul./Aug. 1993, p. 710)

* I 0-February 4. ICTPP-UNU-Microprocessor Laboratory: Third Course on Basic VLSI Techniques, Trieste, Italy.

CHAIRMAN: A. Colavita. INFORMATION: International Centre for Theoretical Physics, P.O. Box 586, 1-34100 Trieste.

12-15. Joint Mathematics Meetings, Cincinnati, OH (including the annual meetings of the AMS, AWM, MAA, and NAM).

INFORMATION: H. Daly, AMS, P.O. Box 6887, Providence, RI 02940.

16-22. Gruppentheorie (Permutationsgrup-

pen). Oberwolfach, Federal Republic of GerrnanY· (Jul./Aug. 1993, p. 710) t?-19. Structure and Statistical Law of Turbulence, Research l?stit~te for Mathematical Sciences. Kyoto Umverstty, Kyoto, Japan. (JuJ.IAug. 1993, p. 710) ,3-25. Fifth Annual ACM-SIAM Sympo;iunt on Discrete Algorithms, Arlington, VA. (May/Jun. 1993, p. 513) 23-29. Singulare Integral- und PseudoDifferential-Operatoren und Ihre Anwendungen, Oberwolfach, Federal Republic of Gennany. (Mar. 1993, p. 285) 24--28. IMA Workshop on Mathematical Population Genetics, Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, MN. (Jan. 1993, p. 64)

24--28. Complex Analysis on Hyperbolic 3-ntanifolds, Research Institute for Mathematical Sciences. Kyoto University, Kyoto, Japan. (Jul./Aug. 1993, p. 711) 25-29. Sixth Benin International Conference on Scientific Computing, University of Benin City, Nigeria. (Sep. 1993, p. 924)

30-February 5. Nichtstandardanalysis und Anwendungen, Oberwolfach, Federal Republic of Germany. (Mar. 1993, p. 285)

February 1994

February 1994. Workshop on Dynamical Disease, Laurentian Mountains north of Montreal. (Jan. 1992, p. 64)

February-mid-May. Linear Operators, Stefan Banach International Mathematical Center, Warsaw, Poland. (Nov. 1993, p. 1253)

2-4. IMACS Symposium on Mathematical Modelling, Vienna, Austria. (Jul./ Aug. 1993, p. 711))

*4-5. Conference on Applied Mathematics (CAM), University of Central Oklahoma, Edmond, OK.

PROGRAM: This conference invites papers on any aspect of applied mathematics and for special interest sessions on: computational physics, environmental/biological mathematics, chemical/computer applications of mathematics. Student papers are welcome. INFORMATION: Conference on Applied Math., College of Math. and Sci., Univ. of Central Oklahoma, Edmond, OK 73054; 405-341-2980, ext. 2722; fax: 405-330-3824; e-mail: cam@aixl. ucok. edu.

6--10. AMC 94: The Thirtieth Australian Applied Mathematics Conference, Pokolbin, Hunter Valley, N.S.W. (Nov. 1993, p. 1253)

6--12. C* -Aigebren, Oberwolfach, Federal Republic of Germany. (Mar. 1993, p. 285)

7 -II. Differential Geometry, Hamiltonian Systems, and Operator Theory, University

Meetings and Conferences

of the West Indies, Mona, Jamaica. (Jul./Aug. 1993, p. 711)

* 10-11. IMACS Workshop on Theoretical and Computational Aspects of Thrbulence, Rutgers University, New Brunswick, NJ.

ORGANIZING COMMITTEE: R. Pelz, Rutgers U.; R. Agarwal, McDonnell Douglas Aerospace. CONFERENCE TOPICS: Modeling, nonequilibrium turbulence, spectral and high order methods, adaptive grids, Lagrangian methods, ocean dynamics. INVITED SPEAKERS: G. Berkooz, Cornell U.; M. Deville, EPFL-Switzerland; D. Fishelov, Hebrew U.; R. Krasny, U. of Michigan; A. Majda, Princeton U.; E. Weinan, lAS, Princeton; N. Zabusky, Rutgers U. INFORMATION: IMACS Turbulence Workshop, c/o Karen Hahn, Dept. of Comp. Sci., Rutgers Univ., New Brunswick, NJ 08903; e-mail: imacs@rutgers. edu; fax: 908-932-0537.

13-19. Funktionentheorie, Oberwolfach, Federal Republic of Germany. (Mar. 1993, p.285)

14-18. Workshop on Galois Module Structure, The Fields Institute, Waterloo, Ontario. (Nov. 1993,p. 1253)

* 14-March 4. Winter College on Quantum Optics, Trieste, Italy.

CHAIRMAN: G.S. Agarwal, P. Knight, L. Lugiato. INFORMATION: International Centre for Theoretical Physics, P.O. Box 586, 1-34100 Trieste.

18-23. Section A (Mathematics) Sessions at the AAAS Annual Meeting, San Francisco, CA. (Sep. 1993, p. 924)

20-26. Harmonische Analyse und Darstellungstheorie Topologischer Gruppen, Oberwolfach, Federal Republic of Germany. (Mar. 1993,p.286)

27-March 5. Mathematical Economics, Oberwolfach, Federal Republic of Germany. (Mar. 1993, p. 286)

28-March 4. IMA Workshop on Stochastic Networks, Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, MN. (Jan. 1993, p. 64)

28-March 4. Workshop on Algebraic Ktheory and Arithmetic, The Fields Institute, Waterloo, Ontario. (Nov. 1993, p. 1253)

March 1994

* 4-5. First Permian Basin Conference in Algebra and Number Theory, The University of Texas of the Permian Basin, Odessa, TX.

PROGRAM: The purpose of the conference


is to provide a forum for researchers in algebra and number theory to exchange perspectives on their research and on the current trends in mathematics. ORGANIZERS: P. Feit, M. Paprzycki. INVITED SPEAKERS: W. Feit, Yale; J. Tate, UT Austin. CALL FOR PAPERS: Three copies of a detailed abstract (not to exceed 100 words) should be received by February I, 1994. INFORMATION: Organizers, Dept. of Math. and Comp. Sci., UT Permian Basin, Odessa, TX 79762; fax: 915-367-2115; Feit: tel: 915-367-2226, e-mail: feit_p@ gusher. pb. utexas. edu; Paprzycki: tel: 915-367-2244, e-mail: paprzyckLm@ gusher.pb.utexas.edu.

6-12. Mathematische Stochastik, Oberwolfach, Federal Republic of Germany. (Mar. 1993,p.286)

7-11. Twenty-fifth Southeastern International Conference on Combinatorics, Graph Theory, and Computing, Florida Atlantic University. Boca Raton, FL. (Sep. 1993, p. 924)

7-25. Workshop on Fluid Mechanics, International Centre for Theoretical Physics, Trieste, Italy. (Jul./ Aug. 1993, p. 711)

13-17. The UAB-Georgia Tech International Conference on Differential Equations and Mathematical Physics, Birmingham, AL. (Oct. 1993, p. 1085)

13-19. Elementare und Analytische Zahlentheorie, Oberwolfach, Federal Republic of Germany. (Mar. 1993, p. 286)

* 16-19. Prospects in Topology: A Conference on the Occasion of William Browder's 60th Birthday, Princeton University, Princeton, NJ.

INVITED SPEAKERS: Preliminary: A. Adem, A. Assadi. S. Cappell, A. Casson, M. Freedman, I. Madsen, F. Quinn, D. Sullivan, S. Weinberger, E. Witten. INFORMATION: F. Quinn, Math. Dept., Virginia Tech, Blacksburg, VA 24061-0123; e-mail: quinn @math. vt. edu; 703-231-5793; fax: 703-231-5960.

17-19. Seminar on Stochastic Processes 1994, Texas A&M University, College Station, TX. (Sep. 1993, p. 925)

* 17-20. Joint Workshop on Computational Aspects of Geometric Group Theory II, DIMACS, Rutgers University, New Brunswick, NJ.

PRoGRAM: The conference will focus on algorithmic aspects, both practical and theoretical, of geometric and combinatorial group theory. (A related workshop will be held at the Geometry Center, University of Minnesota, January 3-14, 1994.) ORGANIZING COMMITTEE: G. Baumslag, CUNY; D. Epstein, U. of Warwick; R. Gilman, Stevens Institute of Technology; H. Short, CUNY; C. Sims, Rutgers U.

1445

INVITED SPEAKERS: S. Gersten, D. Holt, W. Nickel, P. Papasoglu, E. Rips, M. Shapiro, J. Stallings. INFORMATION: R. Gilman, Dept. of Math., Stevens Inst. of Tech., Hoboken, NJ 07030; 201-216-5425 or 201-216-5448; e-mail: rgilman~vaxc.stevens-tech.edu.

18-19. Southeastern Section, University of Kentucky, Lexington, Kentucky.

INFORMATION: W. Drady, AMS, P.O. Box 6887, Providence, RI 02940.

20-26. Regelungstheorie, Oberwolfach, Federal Republic of Germany. (Mar. 1993, p. 286)

* 21-24. IMA Period of Concentration: Stochastic Problems for Nonlinear Partial Differential Equations, Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, MN. (Please note date change from May/Jun. 1993, p. 513)

21-25. Symplectic Geometry of Moduli Spaces, CIRM, Marseille/Luminy. (Sep. 1993, p.925)

21-25. L-functions Conference, Fields Institute, Waterloo, Ontario. (Nov. 1993, p. 1254)

* 21-25. International Conference on Computational Methods and Function Theory '94, Penang, Malaysia.

PRoGRAM: The mathematical contents of the conference encompass the interaction of scientific computations and complex analysis in a wide sense. It is also meant as a forum for enhancing contacts of scientists from the developing countries in the region and those from America, Europe, etc. There will be several invited one-hour lectures. Participants are invited to present a 20-30 minute lecture. Limited funds are expected to be available to partially support travel/local expenses for participants, especially those from developing countries. ORGANIZERS: R. Ali, S. Ruscheweyh, E. Saff, V. Singh, D. Thomas. INVITED SPEAKERS: J.M. Anderson, London; R. Askey, Madison; R.W. Barnard, Lubbock; H.P. Blatt, Eichstiitt; P.B. Borwein, Halifax; J. Clunie, York; R. Freund, Murray Hill; W.H.J. Fuchs, Ithaca; W.K. Hayman, York; A. Hinkkanen, Urbana; J.A. Hummel, Maryland; G. Jank, Aachen; W.B. Jones, Boulder; L. Lorentzen, Trondheim; A. Marden, Minneapolis; D. Minda, Cincinnati; P. Nevai, Columbus; N. Papamichael, Braga; B. Rodin, La Jolla; D. Shea, Madison; F. Stenger, Salt Lake City; T.J. Suffridge, Lexington; W. Thron, Boulder; R.S. Varga, Kent. INFORMATION: R.M. Ali, School of Math. & Comp. Sci., Univ. Sains Malaysia, 11800 Penang, Malaysia; tel: (int) 60-4-877888, ext. 3481; fax: (int) 60-4-870910; e-mail: rosihan~cs. usm. my; or S. Ruscheweyh, Math. Inst., Univ. Wiirzburg, D-8700 Wiirz-

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burg, Germany; tel: (int) 49-931-8885005; fax: (int) 49-931-707012; ruscheweyh~ vax.rz.uni-wuerzburg.dbp.de.

22-24. The Rhine Workshop on Computer Algebra, Karlsruhe, Germany. (Sep. 1993, p.925)

24-26. Fourth Eugene Lukacs Symposium, Bowling Green State University, Bowling Green, OH. (Oct. 1993, p. 1085)

24-27. Joint 1994 Annual Spring Topology Conference and Southeast Dynamical Systems Conference, Auburn University, Auburn, AL. (Nov. 1993, p. 1254)

25-26. Central Section, Kansas State University, Manhattan, KS.


* 25-26. Southeastern-Atlantic Section of SIAM, Wake Forest University, WinstonSalem,NC.

INVITED SPEAKERS: S.-N. Chow, Georgia Inst. of Tech., Lattice dynamics; J. Dongarra, U. of Tennessee and Oak Ridge Nat'l Labs., Recent work in parallel algorithms for linear algebra; A. Friedman, IMA Dir., U. of Minnesota, SIAM Pres., Free boundary problems for systems of PDE. INVITED MINISYMPOSIA: Fluids and waves: J.D. Avrin (organizer), North Carolina at Charlotte; J.T. Beale, Duke U.; M. Renardy, Virginia Tech.; M.E. Taylor, North Carolina at Chapel Hill; Applied mathematics in industry: R.E. Fennell (organizer), Clemson U.; W. Browning, Applied Math. Inc.; K. Dunlap, Bellcore; M. Grabbe, BDM Engineering Services Co.; K. Schweiker, Hercules Corp.; Scientific computing: R.E. Funderlic (organizer), NC State U.; S.L. Lee, Oak Ridge Nat'! Lab; S. Thompson, Radford U.; J.O. Young, Nat' I Oceanic and Atmospheric Admin., U.S. Dept. of Commerce; Applications of mathematics in government labs.: E.G.Y. Ng (organizer), Oak Ridge Nat'l Lab.; M. Berry, U. of Tennessee; E. D' Azevedo, Oak Ridge Nat' I Lab.; N. Nachtigal, Oak Ridge Nat'l Lab.; B. Peyton, Oak Ridge Nat'l Lab. CALL FOR PAPERS: Several sessions of 15-minute presentations of contributed papers will be held. Papers in all areas of applied mathematics are welcome. To contribute a paper send an abstract (preferably by e-mail) of no more than 100 words by February 15, 1994, in ~lEX or ASCII directly to the conference secretary: C. Lavis, lavis~deacon. mthcsc. wfu. edu. Abstracts should contain the title, author(s), affiliation(s), along with body of abstract. Sessions of 15-minute presentations of student papers will be held, and cash prizes will be given for the best student papers.


..................................... __ ___

INFORMATION: Bob Plemmons, plemmonst mthcsc. wfu. edu.

* 25-27. Third Annual Boise Extravaganza in Set Theory (BEST) Conference, Boise State University, Boise, Idaho.

INVITED SPEAKERS: M. Foreman, F. Galvin, A. Hajnal, and A. Kechris. INFORMATION: Contributed talks: M. Scheep. ers (marion<Dmath. idbsu. edu) or T. Bar. toszynski (tomek<Dmath. idbsu. edu). Local arrangements: A. Feldman (alexCI math. idbsu. edu). All are at the Math. Dept., Boise State University, Boise, Idaho 83725; 208-385-1172.

27-April 2. Algebraische Gruppen, Oberwolfach, Federal Republic of Germany. (Mar. 1993,p.286)

27-April 2. Endliche Modelltheorie, Oberwolfach, Federal Republic of Germany. (Mar. 1993,p.286)

28-30. Moduli Spaces, Galois Representations, and L-functions, Research Institute for Mathematical Sciences, Kyoto University, Kyoto, Japan. (Jul./Aug. 1993, p. 711)

* 28-30. Conference on Semigroup Theory and Its Applications in Memory of Alfred H. Clifford, Tulane University, New Orleans, LA.

PROGRAM: The purpose of the conference is to survey the areas of semigroup theory in which Clifford had an interest and the applications which semigroups have found in such areas as combinatorics and computer science. INVITED SPEAKERS: A. Gleason, Harvard; J. Howie, St. Andrews; D. Munn, Glasgow; J.-E. Pin, Paris; J. Rhodes, Berkeley; B. Schein, Arkansas. CALL FOR PAPERS: Participants who wish to present a talk at the conference should include the title (perhaps tentative) of their talk, along with a short abstract of the contents of their talk. It is anticipated that talks will be 30 minutes long. INFORMATION: Clifford Conference, Dept. of Math., Tulane Univ., New Orleans, LA 70118; electronic mail: cliffconfill tulmath.math.tulane.edu.

28-31. Twenty-fifth Annual Iranian Mathematics Conference, Sharif University of Technology, Tehran, Iran. (Jul./Aug. 1993, p. 711)

* 29-31. Data Compression Conference (DCC '94), Snowbird, Utah.

PROGRAM: An international forum for current work on data compression and related areas. CONFERENCE TOPICS: Coding theory, quantization theory, parallel compression algorithms and hardware, lossless and lossy compression algorithms for specific types of data (including text, images, video,

speech, mu~ic, .maps, ins~rument data, graphics, ammatton, and b1t-maps), data compression standards, hi-level coding, transform methods, wavelet and fractal techniques, string searching and manipulation, closest-match retrieval, theory of minimal length encoding and applications to learning, system issues relating to data c(lmpression (including error control, data security, and indexing), medical imagery, scientific and space data . REGISTRATION: Fee is $325 for IEEE or affiliate members, $395 for nonmembers, and $250 for students. There is a $100 late fee for all registrations after February 15, 1994. INFORMATION: DCC Registration, Computer Science Dept., Brandeis Univ., Waltham, MA 02254.

31-April2. Mathematical Approaches to the Study of Nonlinear Materials, Fayetteville, Arkansas. (Sep. 1993, p. 925)

Apri11994

3-9. Arbeitsgemeinschaft Mit AktueUem Tbema (wird in den Mitteilungen der DMV Heft 1/1994 Bekanntgegeben), Oberwolfach, Federal Republic of Germany. (Mar. 1993, p.286) 4-10. Colorado Conference on Iterative Methods, Breckenridge, CO. (Nov. 1993, p. 1254) 5-9. MEGA-94, The Third International Symposium on Effective Methods in Algebraic Geometry, Santander, Spain. (Jul./ Aug. 1993, p. 711) 5-11. Effective Methods in Algebraic Geometry (MEGA '93), Santander, Spain. (Mar. 1993, p. 286)

5-15. Instructional Conference on Harmonic Analysis and Partial Differential Equations, International Centre for Mathematical Sciences, Edinburgh, Scotland. (Jul./Aug. 1993, p. 711)

7-9. 1994 John H. Barrett Memorial Lectures on Zero-Dimensional Commutative Rings, University of Tennessee, Knoxville, TN. (Nov. 1993, p. 1254)

8-9. Mathematical Breakthroughs in the Twentieth Century, The State University of New York at Farmingdale, NY. (Jul./Aug. 1993, p. 712)

* 8-9. Illinois Number Theory Conference, University of Illinois, Urbana, IL.

PROGRAM: There will be four invited 50-minute talks and sessions for 15- or 20-minute contributed papers. INVITED SPEAKERS: R.C. Baker, Brigham Young U.; B. Gordon, UCLA; J. Lagarias, AT&T Bell Labs.; J. Pintz, Hungarian Academy of Sciences.


DEADLINES: Deadline for registration and abstracts: February 7, 1994. INFORMATION: H. Diamond, UIUC Math. Dept., 1409 W. Green St., Urbana, IL 61801; e-mail: diamond<llmath. uiuc. edu; tel.: 217-367 -0379; fax: 217-333-9576.

8-10. Eastern Section, Polytechnic University, Brooklyn, NY.


I 0-16. Numerical Linear Algebra with Applications, Oberwolfach, Federal Republic of Germany. (Mar. 1993, p. 286)

* 11-15. Simulation for Emergency Manage-ment, La Jolla, CA.

PROGRAM: A special topic area of SMC '94 brings users, planners, researchers, managers, technicians, response personnel, and other interested parties to learn, teach, present, share, and exchange ideas and information about how, when, where, and why computer simulation and related tools can be used to avoid, mitigate, and recover from disasters and other emergencies. Presentations, demonstrations, and exhibits concerning any and all areas of simulation and modeling (as well as related technologies) including safety, emergency management and planning, forensic technology, design, response, user experience and problems and case studies are appropriate to be presented. CONFERENCE TOPICS: Natural disasters, man-made disasters, techniques, and specific applications. INFORMATION: Simulation for Emergency Management, c/o SMC '94, P.O. Box 17900, San Diego, CA 92177; 619-277-3888; fax: 619-277-3930.

17-22. International Conference on New Trends in Computer Science I (NETCOMS 1), University of Ibadan, Nigeria. (Please note date change from Nov. 1992, p. 1121)

17-23. Designs and Codes, Oberwolfach, Federal Republic of Germany. (Mar. 1993, p. 286)

18-20. Conference on Emerging Issues in Mathematics and Computation from the Materials Sciences, Pittsburgh, PA. (Sep. 1993,p.925)

* 22-24. North East Dynamics Meeting, State University of New York, Stony Brook, NY.

INFORMATION: N.E. Dynamics, Institute for Mathematical Sciences, State University of New York, Stony Brook, NY 11794; 516-632-7318; Internet: nedynamics<llmath.sunysb.edu.

24-28. First World Congress on Computational Medicine and Public Health, University of Texas Center for High Performance


Computing, Austin, TX. (Nov. 1993, p. 1255)

24-30. Geschichte der Mathematik, Oberwolfach, Federal Republic of Germany. (Mar. 1993, p. 286)

25-29. Third International Conference on padic Functional Analysis, Clermont-Ferrand, France. (Sep. 1993, p. 925)

* 26. Second Annual Workshop on 1/0 Parallel Computer Systems (to be held in conjunction with the International Parallel Processing Symposium-IPPS '94), Cancun, Mexico.

PROGRAM: The workshop will be held on the first day of the symposium and will focus on the increasingly important 1/0 bottleneck facing parallel and distributed computer systems. This workshop will aim to bring together researchers in order to compare and integrate theoretical and experimental approaches and solutions. CALL FOR PAPERS: Papers are invited demonstrating original unpublished research. Topics of interest include: I/O-intensive applications, theory of 1/0 complexity, 110 subsystem architecture, compiler support for parallel 1/0, operating system support for parallel 1/0, scheduling and resource allocation, concurrent parallel file systems, performance modeling and evaluation. All papers should be at most 20 pages long with a 100-word abstract. Send to: J. Werth, Dept. of Comp. Sci., Univ. of Texas at Austin, Taylor Hall, Rm. 2.122, Austin, TX 78712; 512-471-9583; fax: 512-471-5888. Papers due January 31, 1994. INFORMATION: electronic mail: ippsio<ll thumper. bell core. com. Registration: e-mail: ipps94COhalcyon. usc. edu.

May 1994

1-7. Gruppentheorie, Oberwolfach, Federal Republic of Germany. (Mar. 1993, p. 286) 1-7. Linear Operators and Application, Oberwolfach, Federal Republic of Germany. (Jul./Aug. 1993, p. 712)

* 2-4. Hard Problems in Mathematical Physics: A Meeting to Celebrate the Sixtieth Birthday of Paul Federbush, Ann Arbor, MI.

PROGRAM: The conference is concerned with problems and techniques in mathematical analysis motivated by theoretical physics. Topics discussed will include wavelets, many particle systems, and stochastic PDE. INVITED SPEAKERS: M. Aizenman, Princeton; V. Bach, Berlin; J. Chayes, UCLA; I. Daubechies, Rutgers; J. Imbrie, Virginia; A. Jaffe, Harvard; T. Kennedy, Arizona; A. Kupiainen, Helsinki; E. Lieb, Princeton; Y. Meyer, Paris; B. Nachtergaele, Princeton; L. Seco, Toronto; A. Soffer, Rutgers; I.M. Sigal, Toronto; B. Simon, Caltech; T. Spencer, lAS.

1447

INFORMATION: J. Conlon, Math. Dept., U. of Michigan, Ann Arbor, MI 48109; email: conlonGmath .lsa. umich. edu; tel: 313-764-9427.

2-6. IMA Workshop on Image Models (and Their Speeeh Model Cousins), Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, MN. (Jan. 1993, p.64) 2-6. International Conference on Topolog· ical Vector Spaces, Algebras, and Related Areas, McMaster University, Hamilton, Ontario, Canada. (Mar. 1993, p. 286) 2-6. Wavelet Analysis as a Tool for Geometric Synthesis and Analysis, University of Minnesota, Minneapolis, MN. (Nov. 1993, p. 1255) 3-14. The Fourth International School on Differential Eqnations: Bifurcations and Chaos, Katsiveli, Crimea, Ukraine. (Sep. 1993, p.926) 8-14. Variationsrechnung, Oberwolfach, Federal Republic of Germany. (Mar. 1993, p.286) 14-18. International Congress Henri Poincari, Archives-Centre d'Etudes et de Recherche Henri-Poincare, Nancy, France. (Jul./Aug. 1993, p. 712) 15-21. Critical Phenomena in Spatial Stochastic Models, Oberwolfach, Federal Republic of Germany. (Mar. 1993, p. 286) 16-20. IMA Workshop on Stochastic Mod· els in Geosystems, Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, MN. (Jan. 1993, p. 64) 16-20. <*om'trie Alg'brique, CIRM, Marseille, France. (Jan. 1993, p. 64) 16-27. Workshop on Commutative Algebra and its Relation to Combinatorics and Computer Algebra, International Centre for Theoretical Physics, Trieste, Italy. (Jul./Aug. 1993, p. 712)

* 2Q-22. Wavelets and Fractals, University of Pittsburgh, Pittsburgh, PA.

PROGRAM: Although the theories of wavelets and fractals have developed from different motivations, they are mathematically interwoven and have aspects of striking resemblance. This conference aims to bring mathematicians in both fields together to present and discuss the many challenging problems in which they have a mutual interest. PRtNCIPAL SPEAKERS: C. Bandt, Greifwald; C. Chui, Texas A&M; J. Benedetto, Maryland; C. Cavaretta, Kent State; J. Lagarias, AT&T Bell Labs.; D. Mauldin, North Texas; R. Strichartz, Cornell U. INFORMATION: K.-S. Lau or C. Lennard, Math. and Stats. Dept., Univ. of Pittsburgh, Pittsburgh, PA 15260; lauks+Gpi tt . edu orchrisGlennext.math.pitt.edu.

1448


22-24. Conference in Honor of E. Dynkin, MSI, Ithaca, NY. (Jul./Aug. 1993, p. 712) 22-27. Nonlinear Analysis, Function Spaces, and AppHcations, V, Prague, Czech Republic. (Sep. 1993,p.926) 22-28. Diskrete Geometrie, Oberwolfach, Federal Republic of Germany. (Mar. 1993, p.287) 23-25. Twenty-sixth Symposium on Theory of Computing (STOC), Montreal, Canada. (September 1993, p. 926) 23-25. The 1994 Scalable High Performance Computing Conference, SHPCC94, Knoxville, TN. (Nov. 1993, p. 1255) 23-27. EIHptic and Parabolic Methods in Geometry, University of Minnesota, Minneapolis, MN. (Nov. 1993, p. 1255) 24-27. Conference on Hermann G. Graft· mann (1809-1877), Isle of RUgen, Germany. (September 1992, p. 775) 24-28. International Workshop on Math· ematical Methods and Tools in Computer Simulation, St. Petersburg State University, St. Petersburg, Russia. (Sep. 1993, p. 926)

* 24-28. First International Conference on Difference Eqnations and AppUcations, Trinity University, San Antonio, TX.

PROGRAM: This conference will bring together mathematicians, engineers, and scientists interested in difference equations and discrete dynamics. Areas of interest include oscillation, boundary value problems, stability, asymptotic behavior, discrete control, chaos, fractals, numerical analysis, and related topics. ORGANIZERS: S. Elaydi, J. Graef, G. Ladas, A. Peterson, W. Trench. INVITED SPEAKERS: Preliminary List: C. Ahlbrandt, B. Aulbach, T. Sauer, D. Siljak, D. Trigiante, J. Wimp. CALL FOR PAPERS: There will be sessions for contributed 20-Ininute papers. Titles and abstracts are due by March 1, 1994. INFORMATION: S. Elaydi or W. Trench, Math. Dept., Trinity Univ., San Antonio, TX 78212-7200; tel: 210-736-8205; fax: 21 0-736-8264; selaydi~trini ty. edu or wtrenchOtrinity.edu.

25-28. Second Conference on Function Spaces, Southern Illinois University at Edwardsville, Ulinois. (Sep. 1993, p. 926) 26-28. Spatial Stochastic Models in Bioi· ogy, The University of Colorado at Colorado Springs. (Nov. 1993, p. 1256) 26-29. ICANN '94-lnternational Conference on Artificial Neural Networks, Sorrento Congress Center, near Naples, Italy. (Jul./Aug. 1993,p. 712) 29-June 3. International Conference on Real and Complex Algebraic Geometry, Soesterberg, The Netherlands. (Jul./ Aug. 1993, p. 712)


29-June 4. Singulare Storungsrechnuorj Oberwolfach, Federal Republic of Germany. (Mar. 1993, p. 287) 29-June 4. Workshop on Harmonic Anllo · ysis, Oscillatory Integrals, and Partial Dif· ferential Eqnations, International Centre for Mathematical Sciences, Edinburgh, Scodand. (Jul./Aug. 1993, p. 713)

* 29-June 4. Spring School on Potential The-· ory and Analysis, Paseky, Czech Republic.

PROGRAM: A series of lectures on harmonic analysis techniques for elliptic problems with Ininimal smoothness delivered by C. Kenig, U. of Chicago. INFORMATION: Dept. of Math. Analysis, Charles University, Prague.

3Q-June 3. On the Interaction between Func· tional Analysis, Harmonic Analysis, and Probability, University of Missouri-Columbia, Columbia, MO. (Jul./Aug. 1993, p. 713) 3Q-June 9. Workshop on Group Represen· tation Theory, Technion, Israel Institute of Technology, Haifa, Israel. (Dec. 1992, p. 1284) 31-June 3. IMA Minisymposium on Phase Transitions in Catalytic Surface Reaction Models, Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, MN. (Jan. 1993, p. 64)

June 1994 * 1-4. International Conference on Differen

tial Eqnations and AppUcations to Biology and to Industry, Harvey Mudd College, Claremont, CA.

PROGRAM: Recent advances, problems, and methods at the interface between mathematics, biology, and industry will be the central topics of the conference and will be illustrated by one-hour invited lectures, half-hour invited presentations, and open discussions. The conference is dedicated to Stavros Dusenberg who passed away in April1993. ORGANIZING COMMITTEE: C. CastilloChavez, C. Coleman, K. Cooke, E. Cumberbatch, M. Martelli, B. Tang, H. Thieme. INVITED SPEAKERS: A. Dobson, A. Friedman, K. Hadeler, J. Hale, M. Iannelli, S. Levin, M. Mimura, J. Ockendon, P. van den Driessche. INFORMATION: DECONF, Math. Dept., Harvey Mudd College, Claremont, CA 91711; 909-621-8023; e-mail: deconfGhmc. edu.

1-7. 1994 Barcelona Conference on Algebraic Topology, Sant Feliu de Guixols (near Barcelona, Spain). (Nov. 1993, p. 1256)

* 2-19. Constructivist Methods in Undergradnate Math 'leaching: Calculus, Purdue University, West Lafayette, IN.

PROGRAM: This workshop is designed for

····················-·········-······ .. ············----····--············· ················-·········-······································-------

a person who is a caring and dedicated math instructor, planning to teach abstract algebra or calculus, or trying to make a course motivating, stimulating, and effective; but has been disappointed by past results; or if your students feel stuck and frustrated, show poor understanding of important ideas, or often fail to reconstruct the meaning that your words are trying to convey. This workshop is based on cooperative learning in a computerized environment, eight years of experience with alternative methods of teaching various undergraduate math topics, and a large research and development international project funded by the NSF. Participants will be provided travel grants up to a limit of $400, accommodations and meal allowance. Take-home software and written materials will be provided at nominal cost. INFoRMATION: T. Loro, Dept. of Math., Purdue Univ., W. Lafayette, IN 47907; tel: 317-494-1982; fax: 317-494-6318.

5-11. The Navier-Stokes Equations: Theory and Numerieal Methods, Oberwolfach, Germany. (JulJAug. 1993, p. 713) ~10. Applied and Industrial Mathematics, University of Link6ping, Link6ping, Sweden. (No~ 1993,p. 1256)

• ~II. International Conference on Algebra and Analysis in Commemoration of the Centennial of the Birth of Eminent Russian Mathematician N.G. Chebotarev, Kazan, Tatarstan.

CoNFERENCE 'IbPics: Number theory, Lie algebras and Lie groups, ring theory, recursion theory, theory of functions of several complex variables, geometric theory of functions of complex variables, numerical methods in complex analysis, probabilities on topological groups and linear topologicaJ spaces. INFoRMATION: The registration fee for foreign participants is $150. It includes housing, full board, and expenses of the cultural program. For more information: A.M. Elizarov, S.M. Skryabin, Chebotarev Research Inst. of Math. and Mech., Kazan, Universitetskaja Str.l7, 420008, Russia, Tatarstan; tel: (8432) 38 75 25; fax: (8432) 38 73 21; telex: 224881 FILEX SU; e-mail: elizarovGniimm.kazan.su.

•7-11. AMS Symposium in Research Mathematics on Quantization and Nonlinear Wave Equations, Massachusetts Institute of Technology, Cambridge, MA.

INFoRMATION: W.S. Drady, American Mathematical Society, P.O. Box 6887, Providence, RI 02940.

9-19. Construetlvist Methods in Underpduate Math Teacbing: Abstrad Algebra, Purdue University, West Lafayette, IN.


PROGRAM: This workshop is designed for a person who is a caring and dedicated math instructor, planning to teach abstract algebra or calculus, or trying to make a course motivating, stimulating, and effective; but has been disappointed by past results; or if your students feel stuck and frustrated, show poor understanding of important ideas, or often fail to reconstruct the meaning that your words are trying to convey. This workshop is based on cooperative learning in a computerized environment, eight years of experience with alternative methods of teaching various undergraduate math topics, and a large research and development international project funded by the NSF. Participants will be provided travel grants up to a limit of $400, accommodations and meal allowance. Take-home software and written materials will be provided at nominal cost. INFORMATION: T. Loro, Dept. of Math., Purdue Univ., W. Lafayette, IN 47907; tel: 317-494-1982; fax: 317-494-6318.

* 11-July 6. Joint Summer Research Conferences in the Mathematical Sciences, Mount Holyoke College, South Hadley, MA.

INFORMATION: Chris Harkness, American Mathematical Society, P.O. Box 6887, Providence, RI 02940.

12-18. Nicbtlinearitaten vom Hysteresistyp, Oberwolfach, Federal Republic of Germany. (Mar. 1993,p.287) 13-17. Fifth International Conference on HyperboUc Problems: Theory, Numerical Methods, and Applications, Stony Brook, NY. (May/Jun. 1992, p. 497) 13-17. European Conference on EUiptic and ParaboUc Problems, Pont-A-Mousson, France. (May/Jun. 1993, p. 514) · Summer 1994. Summer Regional CentersTRANSIT, Ohio State University, Columbus, OH. (Oct. 1992, p. 951) 13-17. IMA Workshop on Classical & Modem Brancbing Processes, Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, MN. (Jan. 1993, p.64)

*13-18. Thirty Years after Sharkovskii's Theorem-New Perspectives, Murcia, Spain.

PROGRAM: The aim of this conference is on one hand to summarize the progress made after the appearance in 1964 of Sharkovskii's theorem and explore new directions. There will be a series of invited lectures, contributed talks, and workshop sessions. ORGANIZING COMMITTEE: L. Alseda.(Univ. Aut. of Barcelona), F. Balibrea (Univ.of Murcia), J. Llibre (Univ. Aut. ofBarcelona), and M. Misiurewicz (Indiana Univ.-Purdue Univ.lndianapolis).


INVITED SPEAKERS: S. Baldwin, Auburn; F. Balibrea, Murcia; C. Bernhardt, Lafayette; L. Block, Florida; A. Blokh, Alabama; P. Boyland, SUNY; K. Brucks, Milwaukee; J. Casasayas, Barcelona; E. Coven, Wesleyan; V. Fedorenko, Kiev; J. Franks, Northwestern; J. Gambaudo, Nice; W. Geller, Maryland; J. Guashi, Barcelona; T. Hall, Cambridge; L. Jonker, Quenn; S. Kolyada, Kiev; M. Misiurewicz, Purdue; P. Mumbru, Barcelona; Z. Nitecki, Thfts; A. Nunes, Lisboa; A.N. Sharkovskii, Kiev; J. Smital, Opava; L. Snoha, Banska; W. Szlenk, Warsaw; J. Tolosa, Stockton; and C. Tresser, Thomas J. Watson. INFORMATION: Secretaria Congreso, Departamento de Matematicas, Universidad de Murcia, 30100 Campus de Espinardo, Murcia; tel.: 34 68 363929/30; BalibreaG fc. um. es; fax: 34 68 833803.

15-18. Fifth SIAM Conference on AppUed Linear Algebra, Snowbird, Utah. (Sep. 1993, p.927)

* 15-24. Canadian Mathematical Society Annnal SemiJum Representations of Groups: Finite, Algebraic, Lie, and Quantum, Banff, Alberta, Canada.

PRINCIPAL SPEAKERS: J.L. Alperin, J.C. Jantzen, M. Kashiwara, G. Lusztig. INviTED SPEAKERS: H.H. Andersen, D. Barbasch, M. Brou6, J. Carrell, V. Chari, R. Dipper, S. Donkin, 0. Mathieu, B. Parshall, N. Reshetikhin, W. Rossman, L. Scott, B. Srinivasan, M. Takeuchi, D. Vogan, G. Zuckerman. INFORMATION: CMS Groups, Dept. of Math., Univ. of Alberta, Edmonton, Alberta, Canada T6G 2Gl; cmsgroupG vega.math. ualberta. ca.

1~18. Western Sedion, University of Oregon, Eugene, Oregon.


19-25. Quantenmecbanik von Vielteilcben Systemen, Oberwolfach, Federal Republic of · German~ (Mar. 1993,p.287) 19-25. Integrable Systems from a Quantum Point of View, Oberwolfach, Federal Republic of Germany. (Mar. 1993, p. 287) 20-24. ProbabiUta Quantiqnes, CIRM, Marseille, France. (Jan. 1993, p. 64) 20-24. IMA Workshop on Mathematics in Manufacturing Logistics, Institute for Mathematics and its Applications, University of Minnesota, MinneapOlis, MN. (Sep. 1993, p. 927)

* 20-25. Third World CongressoftheBemonlU Society for Mathematical Statisties and ProbabiUty and the 57th Annual Meeting of the Institute of Mathematical Statisties, Chapel Hill, NC.

PROGRAM: Junior researchers (recent gradu-

1449

ates and graduate students) are strongly encouraged to attend. Grant applications have been made to partially support travel and expenses of junior researchers. A "Mentor Program" is being established to ensure interaction of junior researchers with senior colleagues at the meeting. Members of traditionally underrepresented groups in probability and statistics are especially encouraged to apply. Applications should be received by February 28, 1994. INFORMATION: Congress Organizing Committee, Stats. Dept., University of North Carolina, Chapel Hill, NC 27599; e-mail: congress~stat.unc.edu.

* 20-July I. AMS-SIAM Summer Seminar in Applied Mathematics on Dynamical Systems and Probabilistic Methods for Nonlinear Waves, Mathematical Sciences Research Institute, Berkeley, CA.

INFORMATION: Donna Salter, American Mathematical Society, P.O. Box 6887, Providence, RI 02940.

22-25. Seventh SIAM Conference on Discrete Mathematics, Albuquerque, NM. (Sep. 1993, p. 927)

* 22-26. Eighteenth Symposium on Real Analysis, University of Virginia, Charlottesville, VA.

PROGRAM: The objective is to provide ample opportunities for the participants to discuss current research ideas and to interact with mathematicians working in related areas of mathematics. There will be five hour-long lectures by G. Edgar (Ohio State), D. Mauldin (North Texas), Y. Peres (Jerusalem and Stanford), J. Peyriere (Paris) L. Pitt (Charlottesville); periods for 20-minute contributions and periods reserved for the structured discussion of unsolved research problems. Recent Ph.D.s are particularly encouraged to attend: some financial assistance will be provided if funding applications are successful. INFORMATION: Conference Director, S. J. Taylor, Dept. of Math., Univ. of Virginia, Charlottesville, VA 22903; e-mail: sjt~virginia.edu.

* 23-July 1. International Conference on Abelian Groups and Modules, University of Padova, Padova, Italy.

PROGRAM: The scientific program will include twenty one-hour main lectures and twenty communications. INVITED SPEAKERS: P.N. Ahn, D. Arnold, L. Bican, P. Eklof, L. Fuchs, K. Fuller, R. Goebel, J. Golan, D. Happel, P. Keef, A. Mader, C. Nastasescu, A. Orsatti, N. Popescu, C. Ringel, P. Vamos, R. Wiegand, B. Zimmermann-Huigsen. INFORMATION: Organizing Committee Coordinator, L. Salce, , electronic mail:

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salce~pdmatl.unipd.it.

25-July 2. Symposium on Diophantine Problems in Honor of Wolfgang Schmidt's 60th Birthd!ly, Boulder, Colorado. (May/Jun. 1993, p.514) 26-July 2. Graphentheorie, Oberwolfach, Federal Republic of Germany. (Mar. 1993, p. 287) 26-July 2. Inverse Problems, Lake St. Wolfgang, Austria. (May/Jun. 1993, p. 514)

* 27-July 2. Convex and Discrete Geometry, Bydgoszcz, Poland.

PROGRAM: There will be morning and afternoon sessions (except Wednesday). Every session will start with a one-hour invited lecture given by an eminent researcher. There will be a few 20-minute talks by the participants, possibly in parallel sessions. INVITED SPEAKERS: G. Fejes Toth, Budapest; J.E. Goodman, NY; P.M. Gruber, Vienna; P. McMullen, London; J. Pach, Budapest; A. Pelczynski, Warsaw; R. Schneider, Freiburg; J.M. Wills, Siegen; V.A. Zalgaller, St. Petersburg. CALL FOR PAPERS: Send camera-ready abstracts of length between 10 and 25 lines, double spaced, on an A4 size page before June 1, 1994. REGISTRATION: The total fee is $175. INFORMATION: M. Lassak, Instytut Matematyki i Fizyki ATR, ul. Kaliskiego 7, 85-791 Bydgoszcz, Poland; lassak~

pltumk11. bitnet; tel: (48) (52) 438646.

28-July 1. Structure in Complexity Theory, Ninth Annual IEEE Conference, Amsterdam, The Netherlands. (Nov. 1993, p. 1256)

July 1994

2-8. Fourth Conference of the Canadian Number Theory Association, Dalhousie University, Halifax, Nova Scotia, Canada. (Sep. 1993,p.927) 3-9. Analysis und Geometrie Singuliirer Riiume, Oberwolfach, Federal Republic of Germany. (Apr. 1993, p. 415)

* 4-7. International Conference on Nonlinear Dynamics and Pattern Formation in the Natural Environment, Amsterdam, The Netherlands.

PROGRAM: The conference aims at the communication of new results and the exploration of new ideas concerning the mathematical theory of nonlinear dynamics and the study of pattern generation phenomenae in the natural environment. The conference will have two overlapping main themes: one in which the emphasis is put on generally applicable mathematical theories and techniques and one in which the phenomenology of pattern evolution in


'''''''"'''Mh•MO_o_

various areas is discussed. The progi'IUn of the conference consists of plenary and parallel sessions. There will be invited, contributed, and poster presentations dur. ing the parallel sessions. CONFERENCE TOPICS: Nonlinear dynam. ics: asymptotic analysis, model reduction, modulation equations, stability and bifurcations, dynamics systems, attractors and chaos, variational principles and microstructure, numerical methods, computa. tional science, parameter identification, coherent structures; Pattern formation: general fluid dynamics, oceanography, meteorology, reaction-diffusion problems, combustion, population dynamics, geophysical morphodynamics, biological morphodynamics, crystal growth, theory versus data. CALL FOR PAPERS: Deadline for submission ofabstracts:January 15,1994. The abstract may consist of maximally two pages. Authors are urged to send in their papers in two ways, both as a (LA)TEX-file and as hard copy to the address below. INFORMATION: Novep Conference Organizers, P.O. Box 74144, 1070 BC Am· sterdam, The Netherlands; tel: +31 20 6836243; fax: +31 20 6837727; e-mail: conf-patterns~math.ruu.nl.

4-7. Ninth Annual IEEE Symposium on Logic in Computer Science, Paris, France. (Oct. 1993, p. 1087) 4-8. International Conference on Computer Aided Geometric Design (CAGD), Penang, Malaysia. (Jul./Aug. 1993, p. 713) 4-8. Thirty-eighth Annual Meeting of the Australian Mathematical Society, University of New England in Armidale, Australia. (Oct. 1993, p. 1087) 5-9. Twenty-fourth National Conference on Geometry and Topology (CNGT 24), University of Timi§oara, Romania. (Jul./Aug. 1993, p. 713) 5-22. Conference on Differential and Difference Equations and Recent Developments in Population Biology, University of Wyoming, Laramie, WY. (Nov. 1993, p. 1257) 5-29. IMA Summer Program on Molecular Biology, Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, MN. (Apr. 1993, p. 415) 10-16. Freie Randwertprobleme, Oberwolfach, Federal Republic of Germany. (Apr. 1993, p.415) 11-15. Fourteenth IMACS World Congress on Computational and Applied Mathematics, Georgia Institute of Technology, Atlanta, GA. (Oct. 1992, p. 951)

* 11-15. The First International Derive Conference, Plymouth, UK.

PROGRAM: The major themes for the con· ference are educational research and the use

---······

of Derive in teaching/learning mathematics. Contributions on noneducational topics are welcome also. The program will consist of: invited plenary lectures, contributed presentations (45 minutes), workshops (90 minutes), discussion groups (2 x 90 minutes), and exhibition/poster displays. The conference will provide a forum for newcomers who want to learn about Derive; those familiar with Derive who want to share ideas; and experts who want to initiate new developments. CALL FOR PAPERS: Three copies of all submissions should be sent to the address below by January 3I, I994. INFORMATION: J.S. Berry, Centre for Teaching Mathematics, School of Mathematics and Statistics, The University of Plymouth, Drake Circus, Plymouth PL4 8AA, Devon, England.

* 11-22. SMS-NATO ASI: Topological Methods in Differential Equations and Inclusions, Universite de Montreal, Montreal, Canada.

PRoGRAM: The main topics to be discussed in the summer school are differential equations, differential inclusions, topological methods, stability theory, bifurcation problems, delay equations. INVITED SPEAKERS: M. Degiovanni, M. Frigon, M. Furi, L. Gomiewicz, A. Granas, J.K. Hale, J.W. Lee, J. Mawhin, R. Ortega, K.P. Rybakowski, K. Schmitt, P. Volkmann. CALL FOR PAPERS: Deadline for application: March I, 1994. INFORMATION: G. David, Dept. de Math. et de Stats., Univ. de Montreal, C.P. 6128-A, Montreal H3C 3J7, Canada.

14-18. LFCS'94: Logic at St. Petersburg, a Symposium on Logical Foundations of Computer Science, St. Petersburg, Russia. (Jul./Aug. 1993, p. 714)

17-23. Conference Internationale de Topologie, CIRM, Marseille, France. (Jan. 1993, p. 64)

17-23. Algebraische Zahlentheorie, Oberwolfach, Federal Republic of Germany. (Apr. 1993,p.415)

17-23. Workshop on Harmonic Analysis and Elliptic Partial Differential Equations, International Centre for Mathematical Sciences, Edinburgh, Scotland. (Jul./Aug. 1993, p. 714)

18-22. Sixth International Conference on Fibonacci Numbers and Their Applications, Washington State University, Pullman, WA. (Jul./Aug. I993, p. 714)

18-29. Fifth Workshop of Stochastic Analysis of Oslo-Silivri, Silivri, Istanbul, Turkey. (Oct. 1993, p. 1087)

20-30. Third Souslin Conference, Saratov, Russia. (Jul./Aug. 1993, p. 714)

24-30. Complex Geometry: Moduli Problems, Oberwolfach, Federal Republic of Ger-


many. (Apr. 1993, p. 415)

25-29. Representation des Groupes Reductifs p-adiques, CIRM, Marseille, France. (Nov. 1992, p. 1122) 25-29. 1994 SIAM Annual Meeting, San Diego, CA. (Sep. 1993, p. 927)

* 25-29. Conference on Evolution Equations, University of Strathclyde, Glasgow, Scotland.

PRoGRAM: The conference will be devoted to research in linear and nonlinear differential equations, semigroups of operators, control theory, mathematical physics, and related areas and applications. ORGANIZING COMMITTEE: G.F. Roach (chair), W. Lamb (treasurer), W.M. Anderson, C. Constanda, A.C. McBride, and D.F. McGhee. INVITED SPEAKERS: W. Arendt, Tiibingen; H. Amann, Ziirich; J. Cooper, Maryland; J. Goldstein, LSU; M. Gyllenberg, Sweden; M. Hieber, Ziirich; I. Miyadera, Japan; J. Neuberger, North Texas; S. Piskarev, Taiwan; Y. Saito, Alabama; N. Sauer, Pretoria; R. Showalter, Texas; G. Webb, Vanderbilt. CALL FOR PAPERS: Abstracts, as well as registration forms, should be received by June I, 1994. INFORMATION: G.F. Roach, Dept. of Math., Univ. of Strathclyde, Glasgow, G1 lXH, Scotland, UK; tel: +44-4I-552 4400, ext. 3800; fax: +44-41-552 8657; caas24<0 uk. ac. strath. vaxa.

* 26-30. Seventh International Colloquium on Differential Geometry, Universidade de Santiago de Compostela, Santiago de Compostela, Spain.

PROGRAM: Analysis and geometry in foliated manifolds. INVITED SPEAKERS: G. Hector, J. Heitsch, S. Hurder, P. Molino, J. Roe, C. Schochet, E. Vogt. CALL FOR PAPERS: Participants wishing to present papers are asked to submit an extended summary of about 500 words with completed registration cards by May 1, 1994. INFORMATION: Dept. de Xeometria e Topoloxia, Facultade de Matematicas, Univ. de Santiago de Compostela, 15706-Santiago de Compostela, Spain; fax: 34 81 597054; emaciasv<Oseins.usc.es.

* 27-August I. International Conference on Commutative Algebra (A Satellite Conference of ICM 94, Zurich), Universitiit Osnabriick, Standort Vechta, Germany.

ORGANIZING COMMITTEE: W. Bruns, Vechta; J. Herzog, Essen; M. Hochster, Ann Arbor; U. Vetter, Vechta. INVITED SPEAKERS: I. Aberbach, L. Avramov, M. Barile, R. Buchweitz, A. Conca, S. Cutkosky, S. Dutta, J. Elias, H. Flenner, H.-B. Foxby, A. Geramita, S. Goto,


J. Gubeladze, M. Herrmann, T. Hibi, R. Hiibl, C. Huneke, E. Kunz, G. Lyubeznik, H. Matsumura, U. Nagel, H.-J. Nastold, L. O'Carroll, D. Popescu, J. Ribbe, P. Roberts, L. Robbiano, Ch. Rotthaus, R. Sharp, K. Smith, H. Srinivasan, I. Swanson, P. Schenzel, A. Simis, U. Storch, B. Ulrich, Ngo Viet Trung, G. Valla, W. Vasconcelos, J. Velez, W. Vogel, K. Watanabe. INFORMATION: W. Bruns, Univ. Osnabriick, Standort Vechta, Postfach 15 53, 49364 Vechta, Germany; e-mail: wbcomalg<O dosuni 1 . rz. uni -osnabrueck. de; fax: +444I-I5-444.

* 28-August I. Workshop on Harmonic Maps and Curvature Properties of Submanifolds, University of Leeds, England.

INVITED SPEAKERS: Preliminary: A.l. Bobenko, T.U. Berlin; F.E. Burstall, Bath; A.T. Fomenko, Moscow; Y. Ohnita, Tokyo; F. Pedit, Massachusetts; U. Pinkall, T.U. Berlin; P.J. Ryan, McMaster; G. Thorbergsson, Notre Dame. INFORMATION: S. Carter, s. carter<O leeds. ac. uk; A. West, a. west<O leeds. ac. uk; J.C. Woods, j . c. wood<O leeds. ac. uk; School of Math., Univ. of Leeds, LEEDS LS2 9JT, UK; fax: +44-532-429925.

31-August 6. Mechanics of Materials, Oberwolfach, Federal Republic of Germany. (Apr. 1993,p.415)

August 1994

1-5. Third World Congress on Computational Mechanics (WCCM III), Chiba, Japan. (May/Jun. 1992, p. 497)

* 1-19. IMA Course on Mathematical Modeling for Teachers, Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, MN.

INFORMATION: Institute for Mathematics and its Applications, University of Minnesota, 514 Vincent Hall, 206 Church St., S.E., Minneapolis, MN 55455.

3-11. The International Congress of Mathematicans 1994, Ziirich, Switzerland. (Jul./ Aug. 1993,p. 714) 7-13. Effiziente Algorithmen, Oberwolfach, Federal Republic of Germany. (Apr. 1993, p. 4I6)

12-20. 1994 Summer Workshop-Conference on Classical and Quantum Geometry of Homogeneous Spaces, International Sophus Lie Centre, Moscow. (Oct. 1993, p. 1 087) 13-17. Third Colloquium on Numerical Analysis, Plovdiv, Bulgaria. (Apr. 1993, p. 4I6)

* 13-19. International Conference on Po-

1451

tential Theory (ICPT '94), Kouty, Czech Republic.

INFORMATION: Dept. of Math. Analysis, Charles University, Prague.

14-20. Nonlinear Evolution Equations, Oberwolfach, Federal Republic of Germany. (Apr. 1993, p. 416) 14-21. International Conference on Functional Differential Equations and Applications, Moscow, Russia. (Nov. 1993. p. 1257) 14-27. NATO Advanced Study Institute on "Finite and Locally Finite Groups", Bosphorous University, Istanbul, Turkey. (Nov. 1993, p. 1257) 15-17. Mathfest, University of Minnesota, Minneapolis, MN (including the summer meetings ofthe AMS, AWM, MAA, and PME).


15-18. Tenth Summer Conference on General Topology and Applications, Free University, Amsterdam, The Netherlands. (Nov. 1993, p. 1258) 15-19. Fifteenth International Symposium on Mathematical Programming, University of Michigan, Ann Arbor, MI. (May/Jun. 1993, p.515)

* 15-19. Fourth Conference of the International Linear Algebra Society (ILAS), Erasmus University, Rotterdam, The Netherlands.

ORGANIZING COMMITTEE: H. Bart, L. Elsner, D. Hershkowitz, M.A. Kaashoek, T.J. Laffey, P. Lancaster, A.C.M. Ran, H. Schneider, I. Zaballa. INVITED SPEAKERS: J.A. Ball, A. BenArtzi, M. Boyle, R. Bru, R.A. Brualdi, A. Bunse-Gerstner, F.H. Chatelin, J.A. Dias da Silva, H. Dym, R.L. Ellis, S. Friedland, I. Gohberg, R.D. Grone, D. Handelman, G. Heinig. J.W. Helton, C.R. Johnson, T. Kailath, V. Klee, I. Koltracht, A.J. Laub, D.C. Lay, L. Lerer, R. Loewy, M. Neumann, G.N. de Oliveira, F. Puerta Sales, A.C.M. Ran, L. Rodman, U.G. Rothblum, F. van Schagen, G.Ph.A. Thijsse, R.C. Thompson, L.N. Trefethen, F. van Dooren, W. Watkins, H. Wimmer, H. Woerdeman. MINISYMPOSIA: Linear algebra and systems theory. perturbation theory, topics in norm theory, economic and econometric applications of matrix theory. CALL FOR PAPERS: Abstracts (max. 1 page) for 20-minute contributed talks are to be received by March 31, 1994. INFORMATION: H. Bart, Econometric Inst., Erasmus Univ., P.O. Box 1738, 3000 DR Rotterdam, The Netherlands; e-mail: bart~wis. few. eur. nl; fax: (+31) 10-452 77 46.

15-26. Advanced Workshop on Algebraic Geometry, International Centre for Theoretical

1452


Physics, Trieste, Italy. (Jul./Aug. 1993, p. 714) 16-20. ICMI-China Regional Conference on Mathematics Education, Shanghai, China. (Jul./Aug. 1993, p. 714) 18-23. Fifth Colloquium on Differential Equations, Plovdiv, Bulgaria. (Apr. 1993, p.416) 18-25. Third International Conference on Group Theory, Pusan, Republic of Korea. (Nov. 1993, p. 1258) 20-26. International Conference on Rings and Radicals, Shijiazhuang, China. (Mar. 1993,p.287) 21-27. Mathematical Models in Phase Transitions, Oberwolfach, Federal Republic of Germany. (Apr. 1993, p. 416) 22-26. Sixth Conference on Numerical Methods in Hungary, Miskolc University, Miskolc, Hungary. (Sep. 1993, p. 928)

* 27-28. Conference on the History of Mathematics in Honor of Boris Rosenfeld, Pennsylvania State University, University Park, PA.

PROGRAM: The focus of the conference is Rosenfeld's specializations in research in the history of mathematics, in particular, the history of geometry and mathematics in the medievel Islamic world. Other topics on the history of mathematics are not excluded. CALL FOR PAPERS: Send abstracts (2-page max.) by e-mail or 3 paper copies by regular mail by March I, 1994, to the program chair: I.H. Anellis, Modern Logic Publishing, Box 1036, Welch Avenue Station, Ames, lA 50014-1036; email: f 1 . mlp~isumvs. iastate. edu. INFORMATION: S. Katok, Dept. of Math., Pennsylvania State Univ., University Park, PA 16802-640 I; katok_s@math. psu. edu.

28-September 3. Komplexe Analysis, Oberwolfach, Federal Republic of Germany. (Apr. 1993, p. 416)

September 1994

September 1994. Suslin Jubilee International Conferences, Suslin Foundation, Russia. (Oct. 1993, p. I 088) 4-10. Topologie, Oberwolfach, Federal Republic of Germany. (Apr. 1993, p. 416)

*5-8. ECCOMAS-Second European Computational Fluid Dynamics Conference, Stuttgart, Germany.

INFORMATION: Local Organizer, S. Wagner, DGLR ECCOMAS 1994 Conference, Godesberger Allee 70, D-53175 Bonn, Germany.

6-8. International Conference on Parallel Processing: CONPAR 94-VAPP VI, Linz, Austria. (Oct. 1993, p. 1088)


11-17. Homotopietheorie, Oberwolfach, Federal Republic of Germany. (Apr. 1993, p. 416) 15-19. Fifteenth International Sym()OSimn on Mathematical Programming, University of Michigan, Ann Arbor, MI. (Apr. 1993 p.416) '

18-20. Teaching of Mathematics for Industry, Prague. (Jul./Aug. 1993, p. 715)

18-24. Risk Theory, Oberwolfach, Federal Republic of Germany. (Apr. 1993, p. 416) 18-24. DMV-Jahrestagung 1994 (Annual Meeting of the German Mathematical Society), Duisberg, Federal Republic of Germany. (Nov. 1993,p. 1258) 19-23. 3eme Atelier International de Theorie des Ensembles, CIRM, Marseille, France. (Apr. 1993, p. 416) 21-22. International Symposium on ObjectOriented Methodologies and Systems, Palermo, Italy. (Nov. 1993, p. 1258) 21-23. Meeting on Matrix Analysis and Its Applications, Vitoria-Gasteiz, Spain. (Oct. 1993, p. 1088) 25-0ctober I. Mathematical Methods in Tomography, Oberwolfach, Federal Republic of Germany. (Apr. 1993, p. 416) 26-0ctober 1. First International Workshop on Functional Analysis, Trier University, near Luxembourg, Germany. (Oct. 1993, p. 1088)

October 1994

2-8. Randelementmethoden: Anwendungen und Fehleranalysis, Oberwolfach, Federal Republic of Germany. (Apr. 1993, p. 416) 9-15. Arbeitsgemeinschaft mit Aktuellem Thema (Wird in den Mitteilungen der DMV Heft 3/1994 Bekanntgegeben), Oberwolfach, Federal Republic of Germany. (Apr. 1993, p. 416) 10-28. School/Workshop on Variational and Local Methods in the Study of Hamiltonian Systems, International Centre for Theoretical Physics, Trieste, Italy. (Jul./ Aug. 1993, p. 715) 12-18. CARl '94: Second African Conference on Research in Computer Science, Ouagadougou (Burkina-Faso ). (Nov. 1993, p. 1259) 16-22. Geometrie, Oberwolfach, Federal Republic of Germany. (Apr. 1993, p. 416) 23-29. Wahrscheinlichkeitsma8e aufGruppen und Verwandten Strukturen, Oberwolfach, Federal Republic of Germany. (Jul./Aug. 1993,p. 715) 28-29. Central Section, Oklahoma State University, Stillwater, Oklahoma.

INFORMATION: W. Drady. AMS, P.O. Box 6887, Providence, RI 02940.

30-November 5. Finite Volume Methods, Oberwolfach, Federal Republic of Germany. (Apr. 1993, p. 416)

• Jt-November 4. Or_thogonality,. Moment problems, and Contmued Fractions: An International Conference in Honor of T.J. Stieltjes, Jr. (1856-1894), Delft, Holland.

PROGRAM: The conference will be devoted to different aspects of Stieltje's work. Full days with one invited lecture (60 minutes) and short communications are planned for each of the subjects: continued fractions/rational approximation, moment problems, orthogonal polynomials/asymptotics, properties of zeros/Gaussian quadrature. One day will be used for lectures on the life and work of Stieltjes, combined with a sightseeing tour. INFORMATION: TJS94, Mekelweg 4, H4.1 I, Dept. of Pure Math., Delft Univ. of Technology, P.O. Box 5031, 2600 GA Delft, The Netherlands; t j s94@twi. tudelft. nl.

November 1994

II-13. Southeastern Section, University of Richmond, Richmond, VA.

INFORMATION: W. Drady, AMS, P.O. Box 6887, Providence, Rl 02940.

13-17. 1994 International Symposium on Logic Programming, MSI, Ithaca, NY. (Jul./ Aug. 1993 p. 715) 13-19. Komplexitatstheorie, Oberwolfach, Federal Republic of Germany. (Apr. 1993, p.417) 20-26. Mathematical Aspects of Computational Fluid Dynamics, Oberwolfach, Federal Republic of Germany. (Apr. 1993, p. 417) 27-December 3. Mathematical Models for Infectious Diseases, Oberwolfach, Federal Republic of Germany. (Jul./ Aug. 1993, p. 715)

December 1994

4-10. Applied Probability, Oberwolfach, Federal Republic of Germany. (Jul./ Aug. 1993, p. 715)

* 12-14. SIAM Conference on Inverse Problems, Fish Camp, CA. (Please note additional information to Sep. 1993, p. 928)

ORGANIZER: W. Rundell, Texas A&M U., College Station. CALL FOR PAPERS: Abstract deadline: April 25, 1994.

18-23. Asymptotik Hochdimensionaler Statistischer Modelle, Oberwolfach, Federal Republic of Germany. (Apr. 1993, p. 417)

m= IIIII !Ill! II • Meetings and Conferences

Second International Conference on Numerical Methods for Volterra and Delay Equations (A conference to celebrate the tOOth anniversary of Volterra's birth.), Italy. (Mar. 1992. p. 251)

January 1995

4-7. Joint Mathematics Meetings, San Francisco, CA (including the annual meetings of the AMS, AWM, MAA, and NAM).


The following new announcements will not be repeated until the criteria in the last paragraph in the box at the beginning of this section are met.

March 1995

4-5. Eastern Section, Hartford, Connecticut.

INFORMATION: W.S. Drady, American Mathematical Society, P.O. Box 6887, Providence, Rl 02940.

17-18. Southeastern Section, Orlando, Florida.

INFORMATION: W.S. Drady, American Mathematical Society, P.O. Box 6887, Providence, Rl 02940.

24-25. Central Section, DePaul University, Chicago, IL.

INFORMATION: W. Drady, AMS, P.O. Box 6887, Providence, Rl 02940.

April1995

* 23-26. KdV '95, Amsterdam, The Nether-lands.

PROGRAM: An international conference to commemorate the centennial of the publication of the equation by and named after Korteweg and de Vries. This centenary provides a unique occasion to try to survey as many different aspects of the KdV equation and its relatives as possible in a moderate-length symposium. SYMPOSIUM THEMES: Soliton equations in fluids and optics; completely integrable systems; analytic, algebraic, and geometric methods; super-extensions; and theoretical physics.


INVITED LECTURES: Pre/imin01:v: M.J. Ablowitz, U. Colorado, Boulder; D.G. Crighton, Cambridge, UK; W. Eckhaus, U. of Utrecht; L.D. Faddeev, LOMI, St. Petersburg; I.M. Frenkel, Yale U.; A. Hasegawa, Osaka U., Japan; A.J.M. Kox, U. of Amsterdam; I.M. Krichever, Power lnst. Moscow; M.D. Kruskal, Rutgers U.; A.C. Newell, U. of Arizona, Tucson; F.W. Nijhoff, Clarkson U., Potsdam; N.J. Zabusky, Rutgers U.; V.E. Zakharov, lnst. Appl. Math., Moscow. INFORMATION: Secretariat, Mrs. M.I. van der Kooij, Dept. of Applied Math., University of Twente, P.O. Box 217, 7500 AE Enschede, The Netherlands; tel: +31 53 893380; fax: +31 53 356695; e-mail: [email protected].

November 1995

3-4. Central Section, Kent State University, Kent, Ohio.


January 1996

10-13. Joint Mathematics Meetings, Orlando, Florida (including the annual meetings of the AMS, AWM, MAA, and NAM).


March 1996

22-23. Central Section, University of Iowa. Iowa City, Iowa.


April1996

19-21. Southeastern Section, Baton Rouge, Louisiana.

INFORMATION: W.S. Drady, American Mathematical Society, P.O. Box 6887, Providence, RI 02940.

January 1997

10-13. Joint Mathematics Meetings, San Diego, California (including the annual meetings of the AMS, AWM, MAA, and NAM).

INFORMATION: H. Daly, AMS, P.O. Box 6887. Providence, RI 02940.

1453

New Publications Offered by the AMS

ADVANCES IN SOVIET MATHEMATICS

\' I I

SO\ IL I M,\IIIL:\11\ll( ~

Unconventional Lie Algebras Dmitry Fuchs, Editor Volume 17

This book contains eight papers on representations and cohomology of Lie algebras. The Lie algebras here are either infinite-dimensional, are defined over fields of finite characteristic, or are actually Lie superalgebras or quantum groups. Among the topics covered here

are generalizations of the Virasoro algebra, representation theory of the Virasoro algebra and of Kac-Moody algebras, cohomology of Lie algebras of vector fields on the line, and Lie superalgebras of vector fields. The paper by Retakh and Shander contains a generalization of the Schwarz derivative to the noncommutative case.

Contents A. B. Astashkevich and D. B. Fuchs, On the cohomology of the Lie superalgebra W(min); B. Feigin and F. Malikov, Integral intertwining operators and complex powers of differential and q-difference operators; D. Fuchs, Singular vectors over the Virasoro algebra and extended Verma modules; K. V. Kozerenko, Main theorems of invariant theory for the Lie algebra s [ (2) in the case of a field of finite characteristic; F. Malikov, On a duality for Z -graded algebras and modules; V. Yu. Ovsienko and 0. D. Ovsienko, Projective structures and infinite-dimensional Lie algebras associated with a contact manifold; V. S. Retakh and V. N. Shander, The Schwarz derivative for noncommutative differential algebras; F. V. Weinstein, Filtering bases: A tool to compute cohomologies of abstract subalgebras of the Witt algebra.

1991 Mathematics Subject Classification: 17Bxx ISBN 0-8218-4121-1, LC 91-640741, ISSN 1051-8037 216 pages (hardcover), December 1993 Individual member $63, List price $105, Institutional member $84 To order, please specify ADVSOV/17N

AMERICAN MATHEMATICAL SOCIETY TRANSLATIONS-SERIES 2

---TRANSLATIONS ...... 2 • V""-1$7

Wan PropagatiOn. Sca,ttenng Theory

•. ---.

Wave Propagation. Scattering Theory M. Sh. Birman, Editor Volume 157

The papers in this collection were written primarily by members of the St. Petersburg seminar in mathematical physics. The seminar, now run by 0. A. , Ladyzhenskaya, was initiated in 1947 by V: I. Smirnov, to whose memory this volume is dedicated. The papers in the collection

are devoted mainly to wave propagation processes, scattering theory, integrability of nonlinear equations, and related problems of spectral theory of differential and integral operators. The book is of interest to mathematicians working in mathematical physics and differential equations, as well as to physicists studying various wave propagation processes.

Contents

Part I. Wave propagation: V. S. Buldyrev and N. S. Grigor'eva, Perturbation theory for phase integrals and its application to problems of wave propagation; S. A. Vakulenko and I. A. Molotkov, Whitham's and Fermat's principles for the problem of evolution of wave beams in a nonlinear inhomogeneous medium; V. F. Lazutkin, The splitting of separatrices for a standard family of area-preserving transformations; K. A. Makarov, Boundary layer of eigenfunctions of a diffusion operator; B.S. Pavlov and A. E. Ryzhkov, Neutron scattering by a point nucleus in a random magnetic field. I; T. F. Pankratova, The splitting of eigenvalues in a double potential well under a partial breaking of symmetry; Part II. Scattering theory: M. Sh. Birman and D. R. Yafaev, A general scheme in the stationary scattering theory; A. A. K vitsinskii, Yu. A. Kuperin, and S. P. Merkur'ev, Coulomb effects in systems of several particles; S. N. Naboko, On the conditions for existence of wave operators in the nonselfadjoint case; B. S. Pavlov and N. V. Smirnov, A crystal model consisting of potentials of zero radius with inner structure; Part III. Linear differential and pseudodifferential operators: B. A. Plamenevskii and V. N. Senichkin, Representations of C* -algebras generated by pseudodifferential operators in weighted spaces; Part IV. Nonlinear equations: V. S. Buslaev and E. A. Rybakina, The trace formula for the nonlinear Klein-Gordon equation; A. R. Its, On asymptotics of the solution of the Cauchy problem for the modified Korteweg-de Vries equation; V. B. Matveev and A. 0. Smirnov, Symmetric reductions of the Riemann {}-function and some of their applications to the Schrodinger and Boussinesq equations; V. V. Sukhanov, Large time asymptotic

Three easy ways to order: I) ca11800-321-4AMS (321-4267) in the U.S. and Canada to use VISA or MasterCard;

2) use the order form in the back of this issue; or 3) use e-mail via the Internet: cust-serv!Omath. ams. or g.


------·· New Publications Offered by the AMS

beha,•ior of solutions of ~he ~a.u~hy problem for a system of the KdV type with ·a''" decaying nonsollton mlflal data. raP' ,_.

991 Mathematics Subject Classification: 8lUxx, 35L05; 35P25, 41A40 ~SBN 0-8218-7507-8, LC 93-31285, ISSN 0065-9290 256 pages (hardcover), December 1993 Individual member $63, List price $105, Institutional member $84 To order, please specify TRANS2/157N

[CAM PROCEEDINGS & LECTURE NOTES

·---

Asymptotic Methods in Mechanics Remi Vaillancourt and Andrei L. Smirnov, Editors Volume 3

Asymptotic methods constitute an important area of both pure and applied mathematics and have applications to a vast array of problems. This collection of papers is devoted to asymptotic methods applied to mechanical problems,

primarily thin structure problems. The first section presents a survey of asymptotic methods and a review of the literature, including the considerable body of Russian works in this area. This part may be used as a reference book or as a textbook for advanced undergraduate or graduate students in mathematics or engineering. The second part presents original papers containing new results. Among the key . features of the book are its analysis of the general theory of asymptotic integration with applications to the theory of thin shells and plates, and new results about the local forms of vibrations and buckling of thin shells which have not yet made their way into other monographs on this subject.

Contents Part 1. A Survey: S. M. Bauer, S. B. Filippov, A. L. Smimov, and P. E. Tovstik, Asymptotic methods in mechanics with applications to thin shells and plates; Part 2. Thirteen Papers: M. Ya. Antimirov, A. A. Kolyshkin, and R. Vaillancourt, Perturbation methods in eddy current testing; S. M. Bauer, S. B. Filippov, A. L. Maiboroda, A. L. Smirnov, and I. Yu. Teterin, Buckling of thin cvlindrical shells and shells of negative Gaussian curvature; S. M. Bauer and A. L. Smimov, Thermo-elastic deformations of mirrors; B. A. Ershov, Yu. A. Mochalova, and E. V. Polyakova, A mathematical model for hydroelastic problems with a fluid memory. Part I; B. A. Ershov and I. L Strelkovskaya, A mathematical model for hydroelastic problems with a fluid memory. Part II; S. B. Fllippov, Low-frequency vibrations of cylindrical shells. Part I: Shells with a slanted edge; S. B. Filippov, Lowfrequency vibrations of cylindrical shells. Part II: Connected shells; A. L. Maiboroda, Buckling of convex shells under nonaxisymmetric loading; G. V. Pavilainen, Elasto-plastic deformations of ribbed plates; Yu. P. Shcheviev, Elastic wave propagation through elastic shells; Yu. B. Shneerson, Dynamic stability and forced vibrations of a horizontal rotor with a cracked shaft; P. E. Tovstik, Edge effect under large axisymmetric deformations of shells of revolution; P. E. Tovstik, Turning points and caustics in linear problems of thin shell free vibrations and buckling;

199! Mathematics Subject Classification: 34Exx; 35B40, 73K15 ISBN 0-8218-6993-0, LC 93-41470, ISSN 1065-8580 282 pages (softcover), December 1993 Individual member $43, List price $72, Institutional member $58 To order, please specify CRMP/3N

CONFERENCE PROCEEDINGS, CANADIAN MATHEMATICAL SOCIETY

REPRESENTATIONS OF ALGEBRAS -·Helmut LMizing ......

CIIS CONFERENCE PROCEEDINGS Yolume14

Representations of Algebras Vlastimil Dlab and Helmut Lenzing, Editors Volume 14

The Sixth International Conference on Representations of Algebras was held at Carleton University in Ottawa, Canada, in August 1992. This refereed volume contains papers presented at the conference, as well as a number of

papers submitted after the conference. Describing developments at the forefront of the field, this book will interest algebraists working in the field of representation theory.

Contents I. Agoston, V. Dlab, and E. Lukacs, Lean quasi-hereditary algebras; H. Asashiba and M. Hoshino, Bilinear maps which define local algebras with trivial Hochschild cohomology; I. Assem and A. Skowronski, Multicoil algebras; M. Auslander and M. Kleiner, The Green correspondence for adjoint functors; V. Bavula, Generalized Weyl algebras, kernel and tensor-simple algebras, their simple modules; F. U. Coelho, A note on preinjective partial tilting modules; W. Crawley-Boevey, Exceptional sequences of representations of quivers; A. A. Cylke, Perfect and linearly equivalent elements of modular lattices; P. Driixler and R. Norenberg, Thin start modules and representation type; J. Du, A matrix approach to IC bases; K. R. Fuller and Y. Iwanaga, On n-Gorenstein rings and Auslander rings of low injective dimension; V. Futomy and H. Saifi, Modules of Verma type and new irreducible representations for affine Lie algebras; C. Geiss, Tame distributive 2-point algebras; R. Gentle and G. Todorov, Approximations, adjoint functors and torsion theories; K. W. Gruenberg and A. Weiss, Genera of envelopes; D. Happel, I. Reiten, and S. 0. SmalfiJ, Short cycles and sincere modules; N. Iiyori and H. Yamaki, A problem of Frobenius; S. Kasjan and D. Simson, Varieties of poset representations and minimal posets of wild prinjective type; 0. Kerner, On growth numbers of wild tilted algebras; S. Konig, A guide to exact Borel subalgebras of quasi-hereditary algebras; H. Krause, A note on infinite string modules; H. Lenzing and H. Meltzer, Sheaves on a weighted projective line of genus one, and representations of a tubular algebra; H. Lenzing and F. Okoh, The separability of direct products of modules over a canonical algebra; S. Liu and P. Zhang, On the Hochschild homology of some finite-dimensional algebras; J. A. de Ia Peiia, The families of two-parametric tame algebras with sincere directing modules; Z. Pogorzaly, On the stable Grothendieck groups; K. W. Roggenkamp, Blocks which are stably isomorphic to defect group rings; S. A. Sikko, Relative homological dimension; A. Skowronski, Simply connected algebras and Hochschild cohomologies; L. Unger, On the she/lability of the simplicial complex of tilting modules; M. V. Zeldich, Sincere weakly positive unit quadratic forms; B. Z. Huisgen, Homological assets of positively graded representations of finite dimensional algebras; D. Happel and L. Unger, Erratum to the article: A family of infinitive-dimensional non-selfextending bricks for wild hereditary algebras.

1991 Mathematics Subject Classification: !6-06; 16E30, 16E40, 16010, 16020, 16060, 16070,20C10,20C20 ISBN 0-8218-6019-4, LC 93-32528, ISSN 0731-1036 478 pages (softcover), December 1993 Individual member $49, List price $81, Institutional member $65 To order, please specify CMSAMS/14N Members of the Canadian Mathematical Society may order at the AMS member price.


New PnbHcations Offered by the AMS

DIMACS: SERIES IN DISCRETE MATHEMATICS AND THEORETICAL

COMPUTER SCIENCE

Coding and Quantization: DIMACS/IEEE Workshop Robert Calderbank, G. David Forney, Jr., and Nader Moayeri, Editors Volume 14

This volume contains the proceedings of the DIMACSIIEEE workshop on coding and quantization. The theme of the workshop was the application of discrete mathematics to reliable data transmission

and source compression. These applications will become more significant in the corning years, with the advent of high-capacity cellular networks, personal communications devices, and the "wireless office". The articles are written by experts from industry and from academia. Requiring only a background in basic undergraduate mathematics, this book appeals to mathematicians interested in multidimensional Euclidean geometry (especially lattice theory), as well as to engineers interested in bandwidth efficient communication or vector quantization.

Contents G. D. Forney, Jr., On the duality of coding and quantizing; H.-A. Loeliger, On existence proofs for asymptotically good Euclidean-space group codes; G. D. Forney, Jr., N.J. A. Sloane, and M. D. Trott, The Nordstrom-Robinson code is the binary image of the octacode; P. Sole, Generalized theta functions for lattice vector quantization; C. F. Barnes, Tree structured signal space codes; D. L. Neuhoff, The other asymptotic theory of lossy source coding; A. S. Balamesh and D. L. Neuhoff, Block-constrained quantization: Asymptotic analysis; P. F. Swaszek, Syndrome-based VQ codebooks; E. Zehavi and J. Salz, Decoding under integer metric constraints; S. W. McLaughlin, J. Ashley, and D. L. Neuhoff, The optimality of the natural binary code; V. Vaishampayan, Multiple description scalar quantizer design: Good index assignments; W.-Y. Chan and A. Gersho, Structured vector quantizers as generalized product codes; R. J. van der Vleuten and J. H. Weber, A new construction of trellis-coded quantizers; R. Laroia and N. Farvardin, Trellis-based scalar-vector quantizer for memoryless sources; M. V. Eyuboglu and A. S. Balamesh, Lattice-structured codebooks--construction and implementation for memoryless sources; L. Fredrickson, R. Karabed, P. Siegel, and H. Thapar, Decoding on a finite-state transition diagram while avoiding a sub-diagram; A. R. Calderbank, P. C. Fishburn, and A. Rabinovich, Covering properties of binary convolutional codes and lattice quantization of uniform sources; Y. Levy, D. J. Costello, Jr., and A. R. Calderbank, A Markovian method common to both quantization and decoding using convolutional codes; C. Heegard and E. J. Rossin, Trellis codes, symbolic dynamics, and isometries; E. E. Kuruoglu and E. Ayanoglu, The design of finite-state machines for quantization using simulated annealing; J. B. Anderson and E. Offer, TheM-algorithm, the failure of reduced-state sequence detection with good convolutional codes, and some implications for trellis coding; Y. Levy and D. J. Costello, Jr., An algebraic approach to constructing convolutional codes from quasi-cyclic codes; H. Koorapaty, D. L. Bitzer, A. Dholakia, and M. A. Vouk, Table-driven decoding of convolutional codes with soft decision; J. N. Livingston, Rotationally invariant multilevel codes; K. J. Kerpez, Constellations for diversity; A. S. Khayrallah, Bounded expansion codes for error control; E. Arikan, A bound on the zero-error list coding capacity; C. Podilchuk and A. Jacquin, Geometric vector quantization for subband-based video coding; K. Sayood and S. Na, Recursively indexed differential pulse code modulation.

1991 Mathematics Subject Classification: 94A05, 94A29, 94B05, 94BIO, 94812 ISBN 0-8218-6603-6, LC 93-29283, ISSN 1052-1798 263 pages (hardcover), December 1993 Individual member $41, List price $69, Institutional member $55 To order, please specify DIMACS/14N

New Series!

Fields Institute Monographs Fields Institute Monographs features work from the various activities at

the prestigious Fields Institute for Research in Mathematical Sciences located in Waterloo, Ontario, Canada. The publications evolve from each year's main program. Control Theory, the 1992 program, produced interdisciplinary work in applied mathematics, computer science, control theory, aerospace, civil, electrical, mechanical and systems engineering, and physics. For 1993, the program focused on dynamical systems. For 1994, the main program is L-functions.

FIELDS INSTITUTE MONOGRAPHS

Global Dynamics, Phase Space Transport, Orbits Homoclinic to Resonances, and Applications Stephen Wiggins Volume 1

This monograph, a series of lectures delivered by Stephen Wiggins at the Fields Institute in early 1993, is concerned with the geometrical viewpoint of the global dynamics of nonlinear dynamical systems.

With appropriate examples and concise explanations, Wiggins unites many different topics into one volume and makes a unique contribution to the field. Engineers, physicists, chemists, and mathematicians who work on issues related to the global dynamics of nonlinear dynamical systems will find these lectures very useful.

Contents Introduction; Homoclinic tangles and transport in two-dimensional, timeperiodic vector fields; Transport in cellular flows; Homoclinic tangles and transport in two-dimensional, time-quasiperiodic vector fields; Phase space transport in the quasiperiodically forced Morse oscillator; Adiabatic dynamical systems; Transport in the eccentric journal bearing flow: An application of adiabatic dynamical systems; Orbits homoclinic to resonances: Global analysis and geometric singular perturbation methods.

1991 Mathematics Subject Classification: 58Fxx ISBN 0-8218-9202-9, LC 93-36767, ISSN 1069-5273 155 pages (hardcover), December 1993 Individual member $35, List price $59, Institutional member $47 To order, please specify FIM/IN



~ADUATE STUDIES IN MATHEMATICS

Combinatorial Rigidity Jack Graver, Brigitte Servatius, and Herman Servatius Volume 2

This book presents rigidity theory in a historical context. The combinatorial aspects of rigidity are isolated and framed in terms of a special class of matroids, which are a natural generalization of the connectivity matroid of a graph. This

book includes an introduction to matroid theory and an extensive study of planar rigidity. The final chapter is devoted to higher-dimensional rigidity, highlighting ~h~ main open 9uestions. Also i~clude~ is an extensive annotated bJbiOlography With over 150 entnes. This book is aimed at graduate students and researchers in graph theory and combinatorics or in fields which apply the structural aspects of these subjects in architecture and engineering. Accessible to those who ha~e had an introduction to graph theory at the senior or graduate level, this book is suitable for a graduate course in graph theory.

Contents 01'erview; Infinitesimal rigidity; Matroid theory; Linear and planar rigidity.

1991 Mathematics Subject Classification: 05B35; 05C10 ISBN 0-8218-3801-6, LC 93-34431, ISSN 1065-7339 172 pages (hardcover), December 1993 Individual member $25, List price $41, Institutional member $33 To order, please specify GSM/2N

HISTORY OF MATHEMATICS

Lectures ID tbe Bt.tory of Mathematlca

a. ....... ..

mnouor ........... TICS Vol-•?

Lectures in the History of Mathematics Henk J. M. Bos Volume 7

"[These lectures] are about themes of the history of mathematics which for various reasons are dear to me. The early differential and integral calculus, Christiaan Huygens, and the concept of construction in seventeenth- and eighteenth-century mathematics are the three themes around

which much of my research has concentrated and which continue to fascinate me by the insights they offer in the development of that special human activity called mathematics."-from the Introduction

This volume contains eleven lectures ranging over a variety of topics in the history of mathematics. The lectures, presented between 1970 and 1987, were delivered in a variety of venues and appeared only in less accessible publications. Those who teach mathematics, as well as mathematics historians, will appreciate this insightful, wide-ranging book. The Histmy of Mathematics series is published jointly with the London Mathematical Society.

Contents Recognition and wonder: Huygens, tractional motion, and some thoughts on the histOI)' of mathematics; The concept of construction and the representation of curves in seventeenth-century mathematics; The structure of Descartes's Geomerrie; Christiaan Huygens; The fundamental concepts of the Leibnizian calculus; The lemniscate of Bernoulli; Calculus in the eighteenth century: The role of applications; The closure theorem of Poncelet; Elemems of mathematics: They are no longer what they used to be; "Queen and servant": The role of mathematics in the development of the sciences; Mathematics and its social context: A dialogue in the staff room, with historical episodes.

1991 Mathematics Subject Classification: 00860, 01-02; OIA45, OIA50, OIA99 ISBN 0-8218-9001-8, LC 93-28299, ISSN 0899-2428 197 pages (hardcover), December 1993 Individual member $52, List price $86, Institutional member $69 To order, please specify HMATH/7N Members of the London Mathematical Society may order at the AMS member price. The LMS is incorporated under Royal Charter and is registered by the Charity Commissioners.

ISRAEL MATHEMATICAL CONFERENCE PROCEEDINGS

Quantum Deformations of Algebras and Their Representations Anthony Joseph and Steven Shnider, Editors Volume 7

This volume contains papers presented at the BSF-Gelbart Institute workshop, "Quantum Deformations of Algebras and their Representations", held 29 December 1991 to 3 January

1992 at Bar-Ilan University and the Weizmann Institute in Israel. This highly successful meeting attracted over I 00 participants, bringing together internationally recognized specialists. Topics covered at the workshop ranged over many aspects of representation theory, including the geometry of reductive group actions, enveloping algebras of Lie algebras, deformation of algebras, and construction of quantum groups and their representation theory. Applications include invariants of knots and three-manifolds, current algebras, and string theory. Books in the series are published by Bar-Ilan University and distributed worldwide by the American Mathematical Society.

Contents H. H. Andersen, Quantllm groups, invariants of 3-manifo/ds and semisimple

tensor categories; A. S. Dzhumadil'daev, Quasi-Lie bialgebra structures of sl~. Witt and Virasoro algebras; K. Erdmann and M. Schaps, Deformation of tame blocks and related algebras; M. Gerstenhaber, A. Giaquinto, and S. D. Schack, Construction of quantum groups from Belavin-Drinfe/' d infinitesimals; E. Getzler, Cartan homotopy formulas and the Gaussmanin connection in cyclic homology; A. Joseph, Faithfully flat embeddings for minimal primitive quotients of quantized enveloping algebras; D. Kazhdan and M. Verbitsky, Cohomology of restricted quantized universal enveloping algebras; G. Lusztig, Tight monomials in quantized enveloping algebras; V. L. Popov. Singularities of closures of orbits; D. E. Radford, Irreducible representations ofUq(g) arising fi·om Mod ~112 ; C. M. Ringel, Hall algebras revisited.

(continued)


New Publications OtTered by the AMS

1991 Mathematics Subject Classification: 17B37; 16S80, 16W30, 17B81, 81RIO ISSN 0792-4119 176 pages (softcover), December 1993 Individual member $16, List price $27, Institutional member $22 To order. please specify IMCPnN

MATHEMATICAL SURVEYS AND MONOGRAPHS

Analysis of and on Uniformly Rectifiable Sets Guy David and Stephen Semmes Volume 38

The notion of uniform rectifiability of sets (in a Euclidean space), which emerged only recently, can be viewed in several different ways. It can be viewed as a quantitative and scale-invariant substitute for the classical notion of rectifiability;

as the answer (sometimes only conjecturally) to certain geometric questions in complex and harmonic analysis; as a condition which ensures the parametrizability of a given set, with estimates, but with some holes and self-intersections allowed; and as an achievable baseline for information about the structure of a set. This book is about understanding uniform rectifiability of a given set in terms of the approximate behavior of the set at most locations and scales. In addition to being the only general reference available on uniform rectifiability, this book also poses many open problems, some of which are quite basic.

Contents Part I. Background information and the statements of the main results: Reviews of various topics; A summary of the main results; Dyadic cubes and corona decompositions; Part II. New geometrical conditions related to uniform rectifiability: One-dimensional sets; The bilateral weak geometric lemma and its variants; The WHIP and related conditions; Other conditions in the codimension I case; Part III. Applications: Uniform rectifiability and singular integral operators; Uniform rectifiability and square function estimates for the Cauchy kernel; Square function estimates and uniform rectifiability in higher dimensions; Approximating Lipschitz functions by affine functions; The weak constant density conditions; Part IV. Direct arguments for some stability results: Stability of various versions of the geometric lemma; Stability properties of the corona decomposition; References; Table of selected notations; Table of acronyms; Table of theorems; Index.

1991 Mathematics Subject Classification: 28A75; 42B20, 30C65, 30C85, 30035, 49Q15 ISBN 0-8218-1537-7, LC 93-36311, ISSN 0076-5376 356 pages (hardcover), December 1993 Individual member $67, List price $111, Institutional member $89 To order, please specify SURV /38N

~-----M_A_~_H_E_M_AT_I_CA_L_W __ O_R_LD _____ ~

Mathematics and Sports

• "

' L. E. Sadoveklr A. L Sadowldf

Mathematics and Sports L. E. Sadovskii and A. L. Sadovskii Volume 3

"Some scientists claim that strong tobacco and spirits clear the head and spur creativity. It would be well, however, to try other means: to exercise, jog, swim, or learn to play games like tennis, basketball, badminton, volleyball, and so on ... [N]ot only checkers, chess, cards,

or billiards are a source of interesting problems. Other sports provide them as well. Mathematical methods are increasingly applied in sports. Just think how many yet-unsolved problems arise when we study the interaction between ball and racket or between ball and court." -from the Introduction

This unique book presents simple mathematical models of various aspects of sports, with applications to sports training and competitions. Requiring only a background in precalculus, it would be suitable as a textbook for courses in mathematical modeling and operations research at the high school or college level. Coaches and those who participate in sports will find it interesting as well. The lively writing style and wide range of topics make this book especially appealing.

Contents Mathematics and sports (in lieu of a foreword); What is applied mathematics?; Why five sets? (Mathematical modeling of tennis); Those judges!; Records! Records!; Linear programming and sports; Game models; Organizing competitions is an operations planning problem; Classifications in sports; Conclusion.

1991 Mathematics Subject Classification: 92K99; 90B90, 90C05, 90D80 ISBN 0-8218-9500-1. LC 93-23024, ISSN 1055-9426 152 pages (softcover), December 1993 Individual member $24, List price $40, Institutional member $32 To order, please specify MAWRLD/3N

PROCEEDINGS OF SYMPOSIA IN APPLIED MATHEMATICS

Different Perspectives on Wavelets Ingrid Daubechies, Editor Volume47

The wavelet transform can be seen as a synthesis of ideas that have emerged since the 1960s in mathematics, physics, and electrical engineering. The basic idea is to use a family of "building blocks" to represent in an efficient way the object at hand, be it a function, an operator, a signal,

or an image. The building blocks themselves come in different "sizes" which can describe different features with different resolutions. The papers in this book attempt to give some theoretical and technical shape to this intuitive picture of wavelets and their uses. The papers



collected here were prepared for an AMS Short Course on Wavelets and Applications, held at the Joint Mathematics Meetings in San Antonio in January 1993. Here readers will find general background on wavelets as well as more detailed views of specific techniques and applications. With contributions by some of the top experts in the field, this book provides an excellent introduction to this important and growing area of research.

contents 1. Daubechies, Wavelet transforms and orthonormal wavelet bases; Y. Meyer, Wavelets and operators; P. Gilles Lemarie-Rieusset, Pro;ection operators in

multiresolution analysis; P. Tchamitchian, Wavelets and differential operators;

G. Beylkin, Wavelets and fast numerical algorithms; R. R. Coifman and M. V. Wickerhauser, Wavelets and adapted waveform analysis. A toolkit for signal

processing and numerical analysis; M. V. Wickerhauser, Best-adapted wavelet

packet bases; D. L. Donoho, Nonlinear wavelet methods for recovery of signals,

densities, and spectra from indirect and noisy data.

1991 Mathematics Subject Classification: 35A27, 42Cl5, 46El5, 62A99, 94All ISBN 0-8218-5503-4, LC 93-33264, ISSN 0160-7634 205 pages (hardcover), December 1993 Individual member $27, List price $45, Institutional member $36 To order, please specify PSAPM/47N

SOCIETE MATHEMATIQUE DE FRANCE,

ASTERISQUE

Representations Unipotentes Generiques et Blocs des Groupes Reductifs Finis Michel Broue, Gunter Malle, and Jean Michel Number 212

Let G be a connected reductive algebraic group over an algebraic closure of the finite field IF q with q elements,

defined over IF q; the group of rational points G(IF q) is a "finite reductive group". The papers in this volume establish a "generic theory" (that is, independent of q) of unipotent representations of the group G(IF q ).

Contents Pn?sentation; M. Broue, G. Malle, and J, Michel, Generic blocks offinite

reductive groups; M. Broue et J, Michel, Blocs ii groupes de defaut abe/iens des

groupes reductifs finis; M. Broue und G. Malle, Zyklotomische heckealgebren;

Appendix by G. Lusztig, Coxeter groups and unipotent representations.

1991 Mathematics Subject Classification: 20, 20G ISSN 0303-1179 203 pages (softcover), 1993 AMS or SMF member $22, List price $31 To order, please specify AST/212N

A Theory of Characteristic Currents Associated with a Singular Connection F. Reese Harvey and H. Blaine Lawson, Jr. Number 213

This book presents a general construction of characteristic currents for singular connections on a vector bundle. In particular, Harvey and Lawson develop a Chern-Wei! theory for smooth bundle

maps a : E --> F, which, for smooth connections on E and F, establishes a formula of the type ¢ = Resq,I:a + dT. Here, ¢is a standard characteristic form, Resq, is an associated smooth "residue" form computed canonically in terms of curvature, I:a rectifiable current depending only on the singular stucture of a, and T is a canonical functorial transgression form with coefficients in Lloc· The theory encompasses such classical topics as Poincare-Lelong theory, Bott-Chern theory, Chern-Weil theory, and formulas of Hopf. Among the applications are a new proof of the Riemann-Roch theorem for vector bundles over algebraic curves, a C 00 generalization of the Poincare-Lelong formula, universal formulas for the Thorn class as an equivariant characteristic form (i.e., canonical formulas for a de Rham representative of the Thorn class of a bundle with connection), a differentiable Riemann-Roch-Grothendieck theorem at the level of forms and currents. As direct consequences of the theory, Harvey and Lawson deduce a variety of formulas relating geometric and characteristic classes.

Contents Introduction; Some notational conventions; Bundle maps and singular

connections; Complex line bundles; Sections of vector bundles; Real vector

bundles; Cases of basic interest; Further applications and future directions.

1991 Mathematics Subject Classification: 14, 32, 53, 58 ISSN 0303-1179 268 pages (softcover), 1993 AMS or SMF member $29, List price $41 To order, please specify AST/213N


AMS Reports and Communications

Recent Appointments

Committee members' terms of office on standing committees expire on January 31 following the year given in parentheses after their names, unless otherwise specified.

Richard A. Askey ( 1995) and R. Keith Dennis ( 1995) have been reappointed, and I. G. Macdonald (1995) and Barry Mazur (1995) have been appointed by President Ronald L. Graham to the Collected Works Editorial Committee.

President Ronald L. Graham has appointed Bettye Anne Case ( 1994 ), Linda Keen (1994), Peter W. K. Li (1995), Hugo Rossi ( 1994 ), David R. Scott (1995), Nancy K. Stanton (1996), D. L. Sulsky (1996), William Yslas Velez (1994), and Ruth J. Williams (1993); and John C. Polking, chair of the Board of Trustees, has appointed M. Susan Montgomery (1994) to the Committee on Meetings and Conferences. Professor Rossi has been appointed chair. Robert M. Fossum, Ronald L. Graham, and

William H. Jaco will serve ex officio. M. Beth Ruskai (1994) has been

appointed to the Committee on Profession by President Ronald L. Graham. Other members of the committee are Roy L. Adler ( 1995), M. Salah Baouendi ( 1994 ), chair, Ruth M. Charney ( 1994), Robert M. Fossum (ex officio), Frank L. Gilfeather (1995), Ronald L. Graham (ex officio), Richard J. Griego (1995), William H. Jaco (ex officio), Joseph Lipman (1996), William A. Massey (1994), Donald E. McClure (1996), Ronald J. Stem ( 1995), and Steven H. Weintraub (1994).

James I. Lepowsky (1996), Anil Nerode ( 1996), and Susan Gayle Williams ( 1996) have been appointed by President Ronald L. Graham to the Committee on Science Policy. Continuing members of the committee are Michael Artin (ex officio), James A. Donaldson (1993 ), Richard Ewing (1995), Robert M. Fossum (ex officio), Eric M. Friedlander (1994), Ramesh A. Gangolli (ex officio), Ronald L. Graham (ex officio),

·········~··----

Rhonda J. Hughes (1993), William H. Jaco (ex officio), Raymond L. Johnson (1994), Linda Keen (1993), Donald L. Kreider (ex officio), William James Lewis (1994), Cathleen S. Morawetz ( 1995), John W. Morgan ( 1995), Melvyn Nathanson (1995), Linda Preiss Rothschild ( 1994 ), and Frank W. Warner ill (1993), chair.

Thomas F. Banchoff (MAA), Jeffrey C. Lagarias (AMS), Barbara L. Osofsky (MAA), Marian B. Pour-El (AMS), and Michael C. Reed (AMS) have been appointed by Presidents Donald L. Kreider (MAA) and Ronald L. Graham (AMS) to the AMS-MAA Joint Program Committee for the San Francisco Meeting. Professor Pour-El will serve as chair.

Laura M. Chihara (AMS), James W. Daniel (MAA), Lisl Gaal (MAA), and Robert Gilmer (AMS) have been appointed by Presidents Donald L. Kreider (MAA) and Ronald L. Graham (AMS) to the AMS-MAA Joint Program Committee for the Minneapolis Meeting. Professor Daniel will serve as chair.

Contemporary Mathematics, Volume 143

A Tribute to Emil Grosswald:

1460

A Tribute to Emil Grosswald: Number Theory

and Related Analysis

Number Theory and Related Analysis Marvin Knopp and Mark Sheingorn, Editors

With contributions by some of the leading contemporary researchers in number theory, modular functions, combinatorics, and related analysis, this book will be of interest to graduate students and specialists in these fields. The high quality of the articles and their close connection to current research trends make this volume a must for any mathematics library.

1991 Mathematics Subject Classification: 05, 11, 14, 33 ISBN o-8218-5155·1, 612 pages (softcover), March 1993 Individual member $47, List price $79, Institutional member $63 To order, please specify CONM/143NA

All prices subject to change. Free shipment by surface: for air delivery, please add $6.50 per title. Prepayment required. Order from: American MathematiCal Soc1ety, P.O. Box 5904, Boston, MA 02206-5904, or call toll free 8011-321-4AMS in the U.S. and Canada to charge with VISA or MasterCard. Residents of Canada. please include 7% GST.


Miscellaneous

Personals Richard H. Herman, dean of the College of Computer, Mathematical, and Physical Sciences at the University of Maryland at College Park, was appointed to a special National Science Foundation Mathematics and Physical Sciences Directorate Advisory Committee effective October 1993.

James Jones, of the University of California, Los Angeles (UCLA), received the UCLA President's Medal of Honor.

Andrej A. Lyashenko, of the Global Analysis and Applications Institute in Italy, was awarded an Italian National Fellowship for Foreign Mathematicians.

Claude Roche, of the University of Dijon, was appointed professor at the University of Toulouse III and member of the Laboratory "Geometrie et Topologie" (CNRS).

David A. Sanchez, deputy associate

director for research and education at Los Alamos National Laboratory, has accepted the position of vice chancellor for academic affairs for the Texas A&M University system.

Deaths Edward M. Beesley, professor emeritus of the University of Nevada, died on October 20, 1993. He was born on January 11, 1915, and was a member of the Society for 55 years.

Lipman Bers, professor emeritus of Columbia University and a former president of the AMS, died on October 29, 1993. He was born on May 22, 1914, and was a member of the Society for 50 years. (An article about Professor Bers is being prepared and will appear in a future issue of the Notices.)

Christian Guay, of McGill University, died on August 23, 1993. He was born on November 19, 1958, and was a

member of the Society for 2 years.

Visiting Mathematicians Supplementary List

Mathematicians visiting other institutions during the 1993-1994 academic year have been listed in recent issues of the Notices: July/August 1993, p. 731; September 1993, p. 947; and October 1993, p. 1095.

Magne Espedal (Norway), Texas A&M University, Numerical Analysis, 8/93-5/94.

Erratum Because of incomplete information supplied to the Notices, the October 1993 issue listed Aloysius Bathi Kasturiarachi as having won two awards while at Duke University. He was actually at the University of North Carolina at Chapel Hill when he won the awards.

Contemporary Mathematics, Volume 142

Several Complex Variables in China Chung-Chun Yang and Sheng Gong, Editors

'

Several Complex Variables In China

L---------------------~

Among the topics covered in this volume are singular integrals, function spaces, differential operators, and factorization of meromorphic functions in several complex variables via analytic or geometric methods. Some of the results here are reported in English for the first time.

1991 Mathematics Subject Classification: 32 ISBN 0-8218-5164-0, 173 pages (softcover), February 1993 Individual member $22, List price $36, Institutional member $29 To order, please specify CONM/142NA

All prices subject to change. Free shipment by surface: for air delivery, please add $6.50 per title. Prepayment required. Order from: American Mathematical Society, P.O. Box 5904, Boston, MA 02206· 5904, or call toll free 800-321-4AMS in the U.S. and Canada to charge with VISA or MasterCard. Residents of Canada, please include 7% GST.


New Members of the AMS

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Lafayette, IN Nicolay A Magnitskii, Russian

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Juan A Martinez Solo, Caguas, PR Cara Renee Masson, Valparaiso, IN Robert Ivan Matthews, Univ of

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sc Theodore V Theodosopoulos,

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Rephael S Wenger. Ohio State Univ. Columbus

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RECIPROCITY MEMBERS Australian Mathematical Society

Peter M Gill Susan M Scott

Deutsche Mathematiker-Vereinigung e. V. Hermann Karcher Werner Kratz Rupert Lasser Wolfgang Lueck

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Korean Mathematical Society Oh-Sang Kwon Jeong Hyeong Park

London Mathematical Society Robin John Chapman Robert Daniel Hirsch Robert J Low Renzo L Ricca Adrian Leonard Williams

Mathematical Society of Japan Kazuhiko Koike Kiyomasa Narita Nobuki Takayama Toshihiro Watanabe

Polskie Towarzystwo Matematyczne Zdzislaw Brzezniak

Societe Mathematique de Belgique Julien Roger Van Hamme

s~·enska Matematikersamfundet Mikael Lennart Stenlund

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Anders Tengstrand

Union Matematica Argentina Pablo E Coli

Unione Matematica Italiano Piermarco Cannarsa Patrizio Frosini Sebastiano Seatzu

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6sterreichische Mathematische Gesellschaft Simionescu-Badea Claudia-Lidia Rolf Schneider

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Andre Kristof Sonnichsen

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Fields lnst for Res in Mathematics Science Sue V Embro Sandra M Valeriote

Maharishi lnternatl University Giovanni Santostasi

Mankato State University Eric Andrew Moore

Monmouth College Barbara Lynn Bodner

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Southern Illinois University, Edwardsville Edmond J Abrahamian Corey Stephon Bradford Karen B Gaines Kevin F Havener Joseph Gerard Karnowski Barbara J Kniepkamp John Thomas Malitor George H Martin Jodi Lynn Palm Joyce Marie Ray Darren L Raymond Rene C Rebulanan Kenneth Michael Skelps Kathleen A Wanstreet Xinxin Zhu

Texas A & M University Eugen J Ionascu Tanya L Leise Shijin Lu Wenzhong Lui Sergey Malyasov Michelle Mowry Timur Oikhberg Hutson Smelley Simon Webb Amy Worrell Yan Yu Hao Zheng Debra Elkins

Tulane University Angel Gabriel Estrella YiLi Lang Wu Bin Zeng

University Laval Pierre Duchesne

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···············~····---

Avila Roy Alexander Hernandez Clavera Franklin Hernandez Rodriguez Olgev Nauavro

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Washington University Marc R Kellogg

Western Carolina University Margret Pinkston Stiles

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POSITIONS AVAILABLE

ALABAMA

THE UNIVERSITY OF ALABAMA AT BIRMINGHAM

Department of Mathematics

Applications are invited for a tenure track position at the junior level to begin Jan. 1994. Applicants should have strong research potential as well as a commitment to teaching undergraduate and graduate students. Applicants with postdoctoral experience are especially welcome. Preference will be given to candidates whose research is compatible with that of our current faculty: this includes dynamical systems, differential geometry, mathematical physics, nonlinear analysis, partial differential equations including numerical p.d.e., and topological dynamics. To apply please send a curriculum vitae, selected reprints, and at least three letters of reference. Send applications to the following address:

Search Committee Department of Mathematics University of Alabama at Birmingham Birmingham, AL 35294-1170

UAB is an AA/EO Employer.

THE UNIVERSITY OF ALABAMA Department of Mathematics

The department hopes to have available, beginning August 16, 1994, a tenure-track position at the rank of assistant professor. Applicants whose research interests are in group theory, ring theory, or homological algebra are

preferred. Applicants in other areas may be considered.

The successful candidate shall have completed the Ph.D. degree or equivalent by August 15, 1994. Excellence in research and a strong commitment to teaching are required.

Applicants should send curriculum vitae, reprints and/or preprints, and at least three letters of recommendation to: Search Committee, Department of Mathematics, The University of Alabama, Box 870350, Tuscaloosa, AL 35487-0350. Preliminary enquiries may be addressed to Martyn Dixon (205-348-5154; e-mail: mdixon@mathdept. as. ua. edu). UA is an affirmative action/equal opportunity employer. Women and minorities are particularly encouraged to apply.

~LASKA UNIVERSITY OF ALASKA SOUTHEAST

Assistant Professor of Mathematics, tenuretrack position starting August 1994. Ph.D. degree in mathematics required. Teaching experience at college level required. Must be competent and willing to teach precollege through upper division mathematics courses. Teach twelve hours per semester. Advise undergraduate students. Perform appropriate University and public service. This is a nine-month teaching track position. Research is welcome but not required for tenure or promotion. Salary is competitive and commensurate with qualifications and experience. Applicants must submit completed application form, curriculum vitae, official transcripts, three letters of reference, and a one page statement of Philosophy of Mathematics Education. Applications must be received by


January 17, 1994. Application forms may be obtained from

University of Alaska Southeast Personnel Services 11120 Glacier Highway Juneau, AK 99801-8675 Telephone: 907-465-6263

The University of Alaska is an AAIEO employer and educational institution. Women and minority candidates are encouraged to apply.

ARIZONA

ARIZONA STATE UNIVERSITY

The Department of Mathematics at Arizona State University invites applications for tenure track/tenured positions at the Assistant Professor/Associate Professor level, pending budgetary approval, beginning in the fall semester 1994 or the fall semester 1995. Applicants are required to have a Ph.D. in mathematics and are expected to have a strong commitment to education on all levels and a strong research record. Candidates should show a strong interest in instruction on an introductory level in a large public university environment. Candidates at the Associate Professor level must have a proven record of outstanding achievements in research and teaching. Preference will be given to candidates in the areas of applied analysis, control theory, and functional analysis.

The main campus of Arizona State University has approximately 43,000 students and is located in the rapidly growing metropolitan Phoenix area, which provides a wide variety of recreational and cultural opportunities. The Department of Mathematics currently has 56 full time faculty members. Departmental computing facilities include a networked cluster of high end workstations as well as several graphics computers. In addition access is provided to the university's central computing facilities which include a massively parallel super computer.

Applicants must send their resume and arrange for at least three letters of recommendation to be sent to Christian Ringhofer, Chair, Department of Mathematics, Box 871804, Arizona State University, Tempe, Arizona 85287-1804. Review of applications will begin December 1 , 1993. The application deadline will be extended on a month-to-month basis until positions are filled. AA/EOE.

NORTHERN ARIZONA UNIVERSITY Department of Mathematics

Position in Statistics

The Department of Mathematics of Northern Arizona University invites applications for a tenure-track position for an assistant professor in statistics. Preference will be given to those with a doctorate in statistics, strong theoretical background, interest in applied statistics and intramural consulting, and the ability to contribute to the development of an interactive research group in statistics. In addition, qualifications include substantial evidence of high quality

1465

teaching and demonstrated potential for a productive, quality research program. At present, there are three statisticians and two probabilists in the Department. The starting date is August 22, 1994.

Northern Arizona University has an oncampus enrollment of 16,000. The Department of 28 tenure-track faculty offers Bachelor's and Master's degrees with emphases in mathematics, mathematics education, statistics, and actuarial science.

To apply, send letter of application with vita and direct three letters of reference to: Screening Committee, Department of Mathematics, P. 0. Box 5717, Northern Arizona University, Flagstaff, Arizona 86011. The search will remain open until the position is filled. The Screening Committee will begin reviewing applications January 17, 1994. The University is an equal employment opportunity/affirmative action institution; women and underrepresented minorities are encouraged to apply.

UNIVERSITY OF ARIZONA Department of Mathematics

Tucson, Arizona 85721

The Mathematics Department at the University of Arizona may have tenure-track and postdoctoral positions subject to availability of funding beginning Fall 1994.

Tenure-track positions. Excellent research record or potential; strong commitment to teaching required. Fields should complement but not duplicate existing department research strengths in arithmetic geometry, computational science, dynamical systems, differential geometry, nonlinear science, and number theory.

Postdoctoral Fellowships (Research Associates). Applicants with strengths in all areas compatible with department interests are encouraged to respond. In addition, special Center of Excellence Awards in nonlinear optics and fluid mechanics are available.

The Mathematics Department may also have several visiting positions for next year.

We encourage early application. Deadline date will be January 15, 1994, or whenever positions are filled. Women and minority applicants are especially welcome. Send application, which should include a letter of interest, curriculum vitae with a list of publications, and a minimum of three (3) letters of recommendation (enclose or arrange to be sent), to:

Personnel Committee Department of Mathematics University of Arizona Tucson, Arizona 85721, USA

The University of Arizona is an Affirmative Action/Equal Opportunity Employer.

CALIFORNIA

1994 RESIDENTIAL SUMMER INSTITUTES FOR MATHEMATICALLY TALENTED

UNDERGRADUATES

UNIVERSITY OF CALIFORNIA AT BERKELEY (June 18, 1994-July 30, 1994).

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Classified Advertisements

The sixth annual Summer Mathematics Institute (SMI) at The University of California at Berkeley seeks applications from African American, Hispanic American, and Native American undergraduate men and women who are considering research careers in mathematics and related fields. Approximately 30 students will receive room and board, a $2,000 stipend, and the cost of transportation to and from Berkeley. The SMI is a cooperative project of the Charles A. Dana Center for Mathematics and Science Education and the UC Berkeley and the University of Texas at Austin mathematics departments. The Berkeley SMI is supported by a grant from the National Science Foundation. Program organizers are Professor Uri Treisman (Texas) and Professor Leon Henkin (UC Berkeley and Mills College). MILLS COLLEGE (June 18, 1994-July 30, 1994).

The fourth annual intensive mathematics program at Mills College is seeking applications from undergraduate women of all ethnic groups who are considering research careers in mathematics and related fields. Approximately 20 students will be admitted to the 1994 program; each will receive room and board, a $2,000 stipend, and a travel allowance. The SMI is supported by grants from NSF, NSA, and Genentech, Inc. Program organizers are Lenore Blum (Mathematical Sciences Reseach Institute), Steven Givant (Mills College), Leon Henkin (UC Berkeley and Mills College), and Deborah Nolan (UC Berkeley).

Faculty members are asked to seek out candidates for the programs and to encourage them to apply. All applicants must have completed with distinction at least one year of collegiate mathematics beyond freshman calculus by June 1994. In addition, applicants to the Mills program must have completed one course that involves extensive exposure to discovering and writing proofs. INSTITUTE DESCRIPTION

Participants explore in depth two areas of mathematics. Part of this exploration takes place in seminars consisting of approximately 12 students each and are taught by active research mathematicians. Seminar students are encouraged to tackle challenging problems individually, in small groups, and in consultation with graduate student mentors. In addition, there are twice weekly colloquia designed to provide participants with a broad view of current work in mathematics. Lastly, students will participate in informational workshops that 1) assist them in making informed decisions about graduate school, 2) give them current information about fellowship and financial aid opportunities to support their graduate studies, and 3) make them aware of career opportunities for mathematicians.

Application deadline for both programs is February 11 , 1994. Futher information and application forms for the Institute at UC Berkeley can be obtained by calling Olga Alvarez at 512-471-3285, by electronic mail OAl varez<Dutcvm. cc. utexas. edu, or by writing to the Office of Special Projects, College of Natural Sciences, University of Texas, W. C. Hogg Building #204, Austin, TX 78712. Further information and application forms for the Mills SMI can be obtained by calling Kathy


............................... __ _ Guarnieri at 51 0-430-2226, by electronic l'llail Kathyg<Dmills. edu, or by writing to Summer Mathematics Institute, Mills College, OaklaJld CA 94613. '

CALIFORNIA STATE UNIVERSITY, HAYWARD

Department of Mathematics and Computer Science

The department seeks applicants for a tenuretrack appointment, effective Fall 1994, at the Assistant Professor rank. Applicants should hold a Ph.D. in mathematics. The SUccessful candidate will be expected to teach a variety of mathematics courses ranging from service courses for the Business School to graduate courses in analysis and differential equations. The teaching load is 3 courses per quarter, with classes meeting both day and evening. Beyond a commitment to excellent teaching, candidates should exhibit the competence and potential to engage in significant professional activities, including research and publication. Send resume and names of 3 references to Mathematics Faculty Search Committee by January 15, 1994. CSUH (AA/EOE), with an ethnically diverse student body, encourages applications from women and men of all ethnic backgrounds and physical abilities. Position #94-95 MATH-TT.

CALIFORNIA STATE UNIVERSITY, NORTHRIDGE

Faculty Positions Department of Mathematics

California State University, Northridge, seeks one tenure-track assistant professor and, depending on qualifications, one assistant or associate professor beginning Fall 1994. The availability of these positions is subject to final approval of funding. A Ph.D. in Mathematics or equivalent completed by August 1994 is required and excellent accomplishments or potential in one of the following areas: algebra, analysis, geometry, applied mathematics, or topology. In addition the successful applicant must have a strong commitment to teaching and a willingness to interact and collaborate with colleagues.

Responsibilities include teaching a maximum of 12 units per semester with possible reductions in the teaching load to carry out research or to make other professional contributions. Upper division and graduate classes are often held in the evening.

CSUN is located in the Los Angeles area and is in close proximity to Caltech, UCLA, and usc.

To apply submit a letter describing your specific qualifications, vita, and three letters of recommendation to Department of Mathematics, Hiring Committee, CSUN, 18111 Nordhoff St., Northridge, CA 91330-8313.

Application deadline: February 1, 1994. California State University, Northridge, is

an Equal Opportunity/Affirmative Action, Title IX, Section 504, Employer. Applications from

---····· ...... .

women, minorities, and persons with disability are particularly encouraged.

CALIFORNIA STATE UNIVERSITY SAN BERNARDINO


Applications are being accepted to fill two tenure-track positions at the Assistant Professor level beginning Fall1994. A Ph.D. in MathematiCS is required. Strong preference will be given to candidates with at least two years postdoctoral teaching experience and a record of publications. Successful candidates will be expected to teach twelve hours per week and continue a program of research. Current salary range is $31,764-$43,896 dependent upon qualifications and experience. Applicants should submit a letter of application, vita, three (3) letters of recommendation (at least one evaluating teaching performance and potential), and all transcripts. Applications received after January 15, 1994, cannot be guaranteed consideration. Materials should be sent to:

Search Committee Department of Mathematics California State University San Bernardino 5500 University Parkway San Bernardino, CA 92407

An Equal Opportunity/Affirmative Action, Section 504, Title IX Employer.

POMONA COLLEGE Claremont, California

Pomona College seeks applicants for a tenure track position at the assistant professor level. Candidates from all fields of mathematics will be considered. The strongest candidates will have postdoctoral experience and be excited about teaching our culturally and intellectually diverse student body, of which about a third of the mathematics majors are women. They should also be committed to continuing a strong research program.

Send application materials to: The Search Committee Department of Mathematics Pomona College Claremont,CA 91711-6348

Include a curriculum vitae and 3 letters of recommendation (which include evaluations of teaching), graduate school transcripts, and a description, written for the nonspecialist, of research accomplishments and plans. Applications will be reviewed starting January 7, 1994. Let us know if you will be at the January AMS meeting. We especially encourage applicants from traditionally underrepresented groups. Pomona College is an AA/EO employer.

STANFORD UNIVERSITY Department of Mathematics

The department expects to make at least one tenure-track or tenured appointment beginning September 1994, among the following fields: (1) analysis, (2) geometry or topology, (3) algebra,


number theory, or logic, (4) applied mathematics or probability; in the last case there are also possibilities for joint appointments with other departments. At the tenured level, preference would go to individuals in the earlier years of their ranks, though a more senior appointment may be possible for an extremely well-qualified individual.

Candidates should send a letter of application and a curriculum vitae, a list of publications, and a cover sheet clearly stating the following information: name, area of specialization, institution, (expected) date of Ph.D., and Ph.D. advisor. Also the candidate should arrange to have three letters of recommendation and some evidence of commitment to excellence in teaching sent to Prof. Ralph L. Cohen, Department of Mathematics, Stanford University, Stanford, CA 94305-2125 by January 1, 1994.

Stanford is an Equal Opportunity, Affirmative Action Employer and welcomes applications from women and minorities.

UNIVERSITY OF CALIFORNIA AT BERKELEY

Charles B. Morrey Jr. Assistant Professorship

Department of Mathematics Berkeley, CA 94720

We invite applications for these special twoyear (nontenure-track) positions effective July 1, 1994. Applicants should have a recent Ph.D. in the areas of algebra, analysis, applied mathematics, foundations, or geometry and topology. Applicants should send a resume, reprints, preprints and/or dissertation abstract, and ask three people to send letters of recommendation to The Vice Chair for Faculty Affairs at the above address. We should receive this material no later than January 15, 1994. Applications received after the deadline will not be considered. The University of California is an Equal Opportunity, Affirmative Action Employer .


Temporary Posdoctoral Positions Department of Mathematics

Berkeley, CA 94720

Several temporary positions beginning in Fall 1994 are anticipated for new and recent Ph.D.s of any age, in the areas of algebra, analysis, and applied mathematics, foundations or geometry and topology. The terms of these appointments may range from one to three years. Applicants for NSF or other postdoctoral fellowships are encouraged to apply for these positions; combined teaching/research appointments may be made for up to three years. Mathematicians whose research interests are close to those of regular department members will be given some preference. Applicants should send a resume, and reprints, preprints, and/ or dissertation abstract, and ask three people to send letters of recommendation to The Vice Chair for Faculty Affairs at the above address. We should receive this material no later than January 15, 1994.


Applications received after the deadline will not be considered. The University of California is an Equal Opportunity, Affirmative Action Employer


Tenured or Tenure Track Position Department of Mathematics

Berkeley, CA 94720

We invite applicants for one or more positions effective July 1, 1994, at either the tenure-track (Assistant Professor) or tenured (Associate or Full Professor) level, subject to budgetary approval, in the areas of algebra, analysis, applied mathematics, foundations or geometry and topology.

Tenure track applicants are expected to have demonstrated outstanding research potential, normally including major contributions beyond the doctoral dissertation. Such applicants should send a resume, and reprint or preprints, and/or dissertation abstract, and ask three people to send letters of recommendation to The Vice Chair for Faculty Affairs at the above address.

Tenure applicants are expected to demonstrate leadership in research and should send curriculum vitae, list of publications, a few selected reprints or preprints, and the names and addresses of three references to The Vice Chair for Faculty Affairs at the above address.

We should receive this material no later than January 15, 1994. Applications received after the deadline will not be considered. The University of California is an Equal Opportunity, Affirmative Action Employer .

UNIVERSITY OF CALIFORNIA, LOS ANGELES


TEMPORARY POSITIONS: Subject to availability of resources and

adminstrative approval: (1) One E.R. Hedrick Assistant Professor

ship. Applicants must show very strong promise in research and teaching. Salary $39,600. Three year appointment. Teaching load: four quarter courses per year, which may include one advanced course in the candidate's field. Preference will be given to applications completed by January 1, 1994.

(2) One or two Research Assistant Professorships in Computational and Applied Mathematics. Applicants must show very strong promise in research and teaching. Salary $39,600. One year appointment, probably renewable up to two times. Teaching load: at most four quarter courses per year, which may include one advanced course in the candidate's field. Preference will be given to applications completed by January 1, 1994.

(3) One Adjunct Assistant Professorship or Lectureship in the Program in Computing (PIC). (a) Applicants in the first category must show very strong promise in teaching and research, preferably in an area related to computing. Teaching load: four quarter programming courses and an advanced quarter course of the

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candidate's choice per year. One year appointment, probably renewable once. Salary range $39,60Q-$47,000. (b) Applicants for the Lecturship must show very strong promise in the teaching of programming. M.S. in Computer Science or equivalent degree preferred. Teaching load: six quarter programming courses per year. One-year appointment, probably renewable one or more times, depending on the needs of the program. Salary is based on experience and begins at $34,248.

Preference will be given to applications completed by February 1 , 1994.

(4) An Adjunct Assistant Professorship. One year appointment, probably renewable once. Strong research and teaching background required. Salary $35,90D-40,500. Teaching load: five quarter courses per year.

(5) Possibly one or more positions for visitors.

To apply, send electronic mail to search@ math. ucla. edu OR write to Thomas M. Liggett, Chair, Department of Mathematics, University of California, Los Angeles, CA 90024-1555. Attn: Staff Search. UCLA is an equal opportunity/affirmative action employer.

UNIVERSITY OF CALIFORNIA, LOS ANGELES

Department of Mathematics Regular Positions in Pure and

Applied Mathematics

Subject to availability of resources and administrative approval, one regular position in pure and applied mathematics. The six specific search areas are as follows: 1) statistics; 2) applied and computational mathematics; 3) logic and mathematical computer science; 4) geometry and topology (including dynamical systems and geometric partial differential equations); 5) analysis and differential equations (including mathematical physics); 6) algebra, number theory, and combinatorics (including representations). Very strong promise in research and teaching required. Positions initially budgeted at the assistant professor level. Sufficiently outstanding candidates at higher levels will also be considered. Teaching load: averaging 1.5 courses per quarter, or 4.5 quarter courses per year. To apply, send electronic mail to search@math. ucla. edu OR write to Thomas M. Liggett, Chair, Department of Mathematics, University of California, Los Angeles, CA 90024-1555. Attn: Staff Search. UCLA is an equal opportunity/affirmative action employer.

UNIVERSITY OF CALIFORNIA, RIVERSIDE Department of Mathematics

Position in Topology

Applications and nominations are invited for a tenured or tenure track position in Topology beginning July 1, 1994, or later. The position is at the Assistant or Associate Professor level. A Ph.D. in Mathematics or related specialization area is required. Demonstrated excellence in research and teaching is essential. Responsibilities include teaching undergraduate and graduate level courses and seminars, con-

1468

------Classified Advertisements

dueling scholarly research, and participating in service activities. Established criteria of the University of California determine salary and rank. To assure full consideration, applicants should send their curriculum vita, including a list of publicatiOns, and have at least three letters of recommendation sent to:

Professor David Rush Topology Hiring Committee Department of Mathematics University of California Riverside, CA 92521-0135

by January 24, 1994. UCR is an Affirmative Action/Equal Opportunity Employer.

UNIVERSITY OF CALIFORNIA, SANTA BARBARA


The University of California, Santa Barbara invites applications for the following positions in the Department of Mathematics, beginning fall 1994.

(1) Ky Fan Assistant Professorship: Candidates will be considered in the following mathematical areas: linear and nonlinear functional analysis, harmonic analysis, and computational complexity. The Ky Fan assistant professorship is a special two-year nonrenewable position which carries a research stipend. Appointment is effective July 1 , 1994, and candidates must possess a Ph.D. by September 1994. Selection will be based primarily on research achievement, but evidence of satisfactory teaching is necessary. Teaching load will consist of 4 one quarter courses per year.

(2) Tenure track position: Applications are invited for a tenure-track appointment at the assistant professor level, effective July 1 , 1994, in the area of numerical analysis of nonlinear partial differential equations. Candidates should have a command of the field of the numerical analysis of nonlinear partial differential equations, demonstrated excellence in research in associated numerical applied mathematics, and have a command of and interest in the development of associated rigorous mathematical theories. A demonstrated excellence in the design, analysis, and implementation of algorithms for the computation of solutions of nonlinear partial differential equations is highly desirable as is the ability and desire to interact with scientists in applied areas such as engineering and physics. The appointee will also have the potential to provide leadership in the acquisition of new computational facilities, demonstrated the potential to become an effective teacher, and completed the Ph.D. degree by September 1994.

(3) Special visiting positions: Subject to availability of funds, one or more special oneyear visiting assistant professorships in the research areas mentioned under (1) and (2) above, with possibility of a second year, carrying a teaching load of approximately 5 one quarter courses per year. Applicants for the Ky Fan and the tenure track positions will automatically be considered for the visiting positions. Excellence in research, potential for interaction with other 94/96 faculty and evidence of good teaching


······-···-·----

required. Candidates must possess a Ph.D. by September 1994.

Applicants should send a vita, a publication list, a one-page statement of research interests and arrange to have three letters of recorn: mendation sent to: the Ky Fan Committee for the Ky Fan position, to the Numerical Analysis Committee for the tenure track position, and to the Visiting Appointment Committee for the special visiting positions (but only if not otherwise applying) at the address: Department of Mathematics, University of California, Santa Barbara, CA 93106. Include an e-mail address if available. Applications which are complete by January 15, 1994, will be given full consideration.

UCSB is an affirmative action/equal opportunity employer.

UNIVERSITY OF SOUTHERN CALIFORNIA Los Angeles, California

The Department of Mathematics anticipates several tenure-track or possible tenured positions at the Assistant and/or Associate Professor level. Applicants must show strong research promise and possess excellent communications skills for teaching undergraduate mathematics courses. Visiting positions (at all levels) and postdoctoral appointments will also be available.

To apply, please submit the following materials in a single package: letter of application (including your e-mail address and fax number), and a curriculum vitae. Candidates for junior positions should also provide at least three letters of recommendation. Mail application to: Chair of Appointments Committee, Department of Mathematics-ORB 155, University of Southern California, Los Angeles, CA 90089-1113. USC is an Equal Opportunity/Affirmative Action Employer. Women and minorities are especially encouraged to apply.

COLORADO

UNIVERSITY OF NORTHERN COLORADO Department of Mathematical Sciences

Tenure-track, asst. or assoc. We seek candidates with an earned doctorate in math education, master's in math (or equiv.), strong commitment to teaching and research in educational math, evidence of successful college teaching, able to direct dissertations in our Ed. Math Ph.D. program, 9-hour teaching per sem. Send letter of appl., resume, grad. transcripts, evidence of teaching success, 3 letters of rec., and position #20230 to:

Prof. Richard Grassl, Chair, Dept. of Math. Sciences, UNC, Greeley, CO 80639. Appl. received by 1/16/94 will be given full consideration.

Position is contingent upon funding. AAEO. Women, minorities, and other protected classes are encouraged to apply.

CONNECTICUT

CONNECTICUT COLLEGE

Anticipated one (possibly two) year visiting position, probably at the level of assistantyrofes~or, beginning Fall 1994. Background 1n applied mathematics and probability preferred to teach three courses each semester in a department of six full-time faculty. We require a doctorate as well as excellence in teaching and resarch. Connecticut College is an EEO/AA employer and strongly encourages applications from women and minority candidates. Please send a cover letter, a curriculum vita, and the names of three references to Professor Bridget Baird, Connecticut College, Box 5412, New London, CT 06320-4196; bbbait!lmvax. cc. conncoll. edu.

SOUTHERN CONNECTICUT STATE UNIVERSITY

Mathematics Department

Tenure-track position at Assistant Professor rank beginning 8/22/94 to teach undergraduate/graduate mathematics education and mathematics, and supervise secondary school student teachers. Teaching load: 12 hours/sem. Salary range: $32,677 to $45,786. Qualifications: doctorate (or near completion) in mathematics or mathematics education with a strong mathematics background, evidence of quality teaching, potential for scholarly growth. Secondary school teaching experience preferred. Send letter of application, vita, transcripts (unofficial ok), three letters of reference to Dr. Robert Washburn, Chair, Search 93-269, Southern Connecticut State University, 501 Crescent St., New Haven, CT 06515. Full consideration given to applications received by 1/15/94. AAIEOE.

UNIVERSITY OF CONNECTICUT Department of Mathematics

The Department of Mathematics at the University of Connecticut seeks applicants for an anticipated tenure-track position in the fields of Logic, Numerical Analysis, or Combinatorics at the Assistant Professor level. We provide a stimulating research environment with large undergraduate and graduate (Ph.D.) programs. Candidates must possess a Ph.D. in one of the Mathematical Sciences and have strong research and teaching capabilities. Duties include the guidance and performance of research, and teaching at both the undergraduate and graduate levels. Salary commensurate with experience. Exceptional candidates in fields other than those designated above are also encouraged to apply. Screening of applications will begin January 14, 1994, and continue until the position is filled. For full consideration send resume and at least three letters of recommendation to: Search Chairperson, Department of Mathematics, University of Connecticut, U-9, Storrs, CT 06269-3009. We encourage applications from underrepresented groups, including


minorities, women, and people with disabilities. (Search #4A 132)

FLORIDA

FLORIDA INTERNATIONAL UNIVERSITY

The Department of Mathematics announces tenure track positions beginning August 1994. These positions are usually at the beginning Assistant Professor level. Candidates must have a Ph.D. in Mathematics and a commitment to research and quality teaching. Qualified candidates in all areas of Mathematics will be considered.

Teaching load consists of no more than five 3-credit courses per academic year. Send resume and arrange for 3 letters of recommendation to be sent to: Recruitment Committee, Department of Mathematics, Florida International University, Miami, FL 33199.

Florida International University is an equal opportunity/equal access employer. It is a member of the State University system of Florida, with approximately 24,000 students. The department offers bachelor's and master's degrees.

JACKSONVILLE UNIVERSITY

Jacksonville University is soliciting applications for one and possibly a second tenure-track Assistant Professor position in mathematics. All fields of specialty are welcome, but preference for the first position will be given to a Ph.D. in statistics. Applicants with experience or interest in computer-assisted instruction are particularly desired. Responsibilities include teaching 12 hours per semester, continued scholarly activity (broadly defined), and department/university service. Applications will be accepted until December 15, 1993. Send vita, cover letter addressing qualifications, and three letters of reference to Dr. Charles Lindsey, Chair, Department of Mathematics, Jacksonville University, 2800 University Blvd. N., Jacksonville, FL 32211. Jacksonville University is an AAIEO employer.

UNIVERSITY OF SOUTH FLORIDA Department of Mathematics

We invite applications for a tenure-track position effective August 1994, contingent on availability of funds. Applicants must have or expect to have a Ph.D. in mathematics upon assuming the position, and must show evidence of strong research potential. Candidates demonstrating research experience beyond the Ph.D. are particularly encouraged to apply. The duties include research activity and both graduate and undergraduate teaching. We encourage applications from the following fields: Topology-Geometry, Numerical Analysis, Probability/Statistics. Applicants must indicate in which of these three fields they wish to be considered. Outstanding candidates in other areas will be considered.

The University of South Florida is the second largest state university in the Southeast, with more than 34,000 students enrolled. The


Mathematics Department offers B.A., M.A., and Ph.D. degrees.

To apply, send a letter of application and a curriculum vitae and arrange to have at least three letters of recommendation sent to:

Dr. Kenneth L. Pothoven, Chair Department of Mathematics University of South Florida 4202 East Fowler Avenue, PHY 114 Tampa, Florida 33620-5700 e-mail: mathdeptt!lmath. usf. edu fax: 813-974-2700

Applications, which may be submitted by e-mail or fax, must be submitted by January 1 , 1994. USF is an Equal Opportunity/Affirmative Action Employer and follows ADA guidelines.

Applicants who need a reasonable accommodation because of a disability in order to participate in the application/selection process must notify Dr. Kenneth L. Pothoven at the above address five days in advance.

GEORGIA

AGNES SCOTT COLLEGE

Mathematics, Assistant Professor. The Department of Mathematics at Agnes Scott College invites applications for an assistant professor, tenure-track position starting August 1994. Candidates are expected to have the Ph.D. by the time of appointment. Specialty in algebra or topology encouraged, but applicants in all areas will be considered. Required is a strong commitment to teaching and continued professional growth in an undergraduate setting, and interest in innovative teaching with technology. Normal teaching load in the 4-person department is three courses/semester.

Agnes Scott is a Presbyterian-affiliated, liberal arts college for women located in metropolitan Atlanta, Georgia. To ensure full consideration, applications should be received by December 15, 1993. Send letter of application describing teaching interests and scholarly plans; CV; and names, addresses, and phone numbers of three professional references to: Larry Riddle, Agnes Scott College, Campus Box 743, Decatur, GA 30030-3797. Members of underrepresented groups are urged to apply. An Equal Opportunity Employer.

EMORY UNIVERSITY Department of Mathematics

and Computer Science

The Department of Mathematics and Computer Science, Emory University, invites applications for three anticipated tenure track Assistant Professorships for 1994-1995.

Position 1: A Ph.D. in Mathematics and a promising research program in Algebra are required.

Position 2: A Ph.D. in Mathematics and a promising research program in one of Geometric, Complex, or Functional Analysis are required.

Position 3: A Ph.D. in Computer Science and a promising research program in one or more of Operating Systems, Parallel Processing,

1469

Distributed Computing, Computer Networks, and Graphics are required.

As the department offers several undergraduate programs within Emory College, a Ph.D. in Mathematics, and M.S. in Computer Science/Mathematics, applicants are expected to have strong records, or promise, as undergraduate and graduate teachers.

Applications must specify one of Positions 1, 2, or 3 and include CVs (with at least three recommenders' names). Please see that recommendation letters are sent to

Professor Dwight Duffus, Screening Committee

Department of Mathematics and Computer Science

Emory University Atlanta, GA 30322

Screening of applications will begin on 1 January 1994.

Emory University is an Affirmative Action/Equal Opportunity Employer.

GEORGIA INSTITUTE OF TECHNOLOGY

The School of Mathematics expects to have some visiting and tenure-track positions in several areas, including probability and statistics, at various levels beginning in Fall 1994. Candidates with strong research and teaching records or potential should send a resume, at least three letters of reference, and a summary of future research plans to the Hiring Committee, School of Mathematics, Georgia Institute of Technology, Atlanta, Georgia 30332-0160 U.S.A. Georgia Tech, a member of the University System of Georgia, is an Equal Opportunity/Affirmative Action Employer.

GEORGIA INSTITUTE OF TECHNOLOGY

The Center for Dynamical Systems and Nonlinear Studies expects to have some long- and short-term visiting positions beginning Fall1994. These positions are in nonlinear differential equations, dynamical systems, computational methods, and related areas. In addition to a resume and at least three letters of reference, candidates should send a summary of future research plans to Professor Jack K. Hale, Direction, CDSNS, Georgia Institute of Technology, Atlanta, GA 30332-0190. Deadline for applications: postmarked no later than 1/15/94. Georgia Tech, a member of the University System of Georgia, is an Equal Opportunity/Affirmative Action Employer.

GEORGIA SOUTHWESTERN COLLEGE 800 Wheatley Street

Department of Mathematics Americus, GA 31709-4693

Georgia Southwestern College invites applications for one tenure-track position in Mathematics at the Assistant Professor level beginning September 1 , 1994. The position is in a fivemember department offering undergraduate degrees in mathematics, mathematics education, and a master's in education/secondary math-

1470


ematics. A Ph.D. in mathematics is required. Send a letter of application, resume, and three letters of reference addressing overall qualifications to: Dr. John Stroyls, Chair, phone 912-928-1251, fax 912-928-1630. The position will remain open until filled, but to ensure consideration please apply by January 31, 1994. GSW is an Affirmative Action, Equal Opportunity Employer and encourages women and minorities to apply.

UNIVERSITY OF GEORGIA Department of Mathematics

Athens, GA 30602

Applications are invited for a tenure-track position at the associate professor level for the 1994-1995 academic year. The principal qualification is excellence in teaching and research. Women and minorities are encouraged to apply. Salary will be commensurate with the applicant's abilities and experience. To apply please send curriculum vitae and four letters of recommendation to John G. Hollingsworth, Head, at the address above. Applications received by Jan. 15, 1994, are assured of consideration. UGA is an Equal Opportunity/Affirmative Action EMployer.

ILLINOIS

BRADLEY UNIVERSITY

Applications are invited for a tenure-track position in statistics at the rank of Assistant Professor beginning August 1994. Candidates should have a strong commitment to undergraduate teaching. A Ph.D. in statistics is required, and continuing professional growth (publication) is required for tenure and advancement. Experience using SAS and/or SPSS-X is desirable. Closing date is January 7, 1994. Send letter of application, vita, copy of graduate transcript, description of research, and three or more letters of recommendation (at least one of which addresses teaching ability and one scholarly activity) to: Dr. T. V. Sastry, Search Committee, Department of Mathematics, Bradley University, Peoria, IL 61625. EEO/AA. Women and minorities are encouraged to apply.

ILLINOIS STATE UNIVERSITY Mathematics Education Positions

The Mathematics Department seeks applicants for two tenurable positions (Assistant or Associate Professor rank) for August 1994. Applicants should have a Ph.D. or Ed.D. in Mathematics Education or a comparable degree by August 1994; the ability to teach a wide range of Mathematics Education courses, including both content and methods courses; an active research program; commitment to teacher education and quality teaching at both the undergraduate and graduate levels; and some K-12 teaching experience. To apply send vita, official transcripts, and three recommendation letters by February 15, 1994 to: Dr. Roger


·········-···"·-·--- ..

Eggleton, Chair, 4520 Math. Dept., Illinois State University, Normal, IL 61790-4520. AA!EEO.

NORTHERN ILLINOIS UNIVERSITY Department of Mathematical Sciences

Anticipated assistant professorship with a specialization in mathematical logic. Preference Will be given to those with potential for interaction with the current faculty. Ph.D. or equivalent and strong potential in research and teaching required. Application (vita), three letters of recommendation, and a description of research interests should be sent to: Math Logic Position, c/o Professor William D. Blair, Chair, Department of Mathematical Sciences, Northern Illinois University, DeKalb, IL 60115 by January 31, 1994. EO/AAE

NORTHERN ILLINOIS UNIVERSITY Department of Mathematical Sciences

Anticipated assistant professorship with a specialization in analytic or algebraic number theory. Ph.D. or equivalent and strong potential in research and teaching required. Application (vita), three letters of reference, and a description of research program should be sent to: Number Theory Position, c/o Professor William D. Blair, Chair, Department of Mathematical Sciences, Northern Illinois University, DeKalb, IL 60115 by January31, 1994. EO/AAE

NORTHWESTERN UNIVERSITY Department of Mathematics

2033 Sheridan Road Evanston, Illinois 60208-2730

Applications are invited for one or more anticipated tenure-track positions starting September 1994. Priority will be given to young, exceptional research mathematicians; however, more senior candidates with very exceptional credentials may be considered for a tenured position. Fields of interest within the department include Algebra, Analysis, Dynamical Systems, Probability, Partial Differential Equations, and Topology. Northwestern is an affirmative action, equal opportunity employer committed to fostering a diverse faculty; women and minority candidates are especially encouraged to apply. Candidates should arrange that at least three letters of recommendation be sent to Prof. J. Sally, Chair, Personnel Committee, Department of Mathematics, Northwestern University, Evanston, Illinois 60208-2730. Alternatively, applications and supporting documentation can be sent via e-mail to hiring<amath. nwu. edu. In order to receive full consideration, applications should be received by January 1 , 1994. Hiring is contingent upon eligibility to work in the United States.

NORTHWESTERN UNIVERSITY Mathematics Department

2033 Sheridan Road Evanston, Illinois 60208-2730

The Mathematics Department will sponsor an emphasis Year in dynamical systems. This program will include two-year assistant professorship positions starting September 1994 and possible visiting positions for more senior mathematicians for part or all of the academic year. Applications should be sent to Professor Clark Robinson at the department address and include a curriculum vitae and three letters of recommendation. In order to ensure full consideration, an application should be received by January 15, 1994. Northwestern University is an affirmative action, equal opportunity employer committed to fostering a diverse faculty; women and minority candidates are especially encouraged to apply.

THE UNIVERSITY OF ILLINOIS AT CHICAGO

Department Head Department of Mathematics, Statistics,


The Department of Mathematics, Statistics, and Computer Science at the University of Illinois at Chicago seeks applicants for the position of Head. The Department enjoys an AMS Group I classification, and has 68 faculty and over 200 graduate students. Major research programs include applied mathematics, mathematical computer science, mathematics education, probability and statistics, and pure mathematics. Located in the heart of Chicago, UIC is a research university with 16,000 undergraduate, 5,000 graduate, and 3,000 professional students.

The Head is the chief administrative officer of the Department, with responsibility for instructional programs, administrative, budgetary, promotion, and recruitment matters. The Head is expected to provide leadership in the further development of research, teaching, and public service. The successful candidate will have an earned doctorate and be eligible for appointment at the rank of full professor. A strong record in research and university teaching, a demonstrated commitment to equality of opportunity, and substantial leadership and organizational skills are required. Women and minority candidates are especially encouraged to apply. The desired appointment date is August 21, 1994.

Applications should be received by February 1, 1 994, to receive full consideration, although the search will proceed until the position is filled. Materials, including a full curriculum vitae and names and addresses of four references, should be directed to:

Professor Vera Pless Search Committee for Department

Head c/o College of Liberal Arts and

Sciences, m/c 228 The University of Illinois at Chicago 601 South Morgan Street Chicago, Illinois 60607-7104

···-- .iiiii!IIIIM •. BllBIIill-Classified Advertisements

UIC is an Affirmative Action/Equal Opportunity Employer

INDIANA

INDIANA UNIVERSITY-PURDUE UNIVERSITY

AT INDIANAPOLIS (IUPUI) Department of Mathematical Sciences

The Department of Mathematical Sciences at IUPUI is seeking applicants for two or more tenure-track positions to begin in August 1994. Rank is open depending on qualifications. Applicants must have an earned doctorate by the starting date. A strong research record or excellent research potential as well as a commitment to quality graduate and undergraduate teaching are required. Some preference may be given to applicants in scientific computing and applied statistics. However, strong applicants from all areas of mathematical sciences are encouraged to apply.

IUPUI is a comprehensive urban university with over 28,000 students. The department offers programs of study leading to Purdue University B.S., M.S., and Ph.D. degrees. The university offers competitive salaries and provides excellent fringe benefits. Send resume and three letters of recommendation to Prof. C. D. Aliprantis, Acting Chair, Department of Mathematical Sciences, IUPUI, 402 N. Blackford Street, Indianapolis, Indiana 46202-3216. Closing date: January 15, 1994. Late applications will be considered until positions are filled.

IUPUI is an Affirmative Action/Equal Opportunity Employer. Women and minority candidates are encouraged to apply.

PURDUE UNIVERSITY CALUMET Assistant Professor of Mathematics

Department of Mathematics, Computer Science, and Statistics

Responsibilities: This full-time, tenure-track position requires teaching service courses as well as courses for majors, requires maintaining an active program of research or comparable scholarship, and requires service to the department and the university in the form of committee assignments, curriculum development, etc.

Requirements: The successful candidate must have a Ph.D. in mathematics or applied mathematics. Of particular interest are candidates with areas of specialization in applied mathematics, broadly interpreted, including numerical analysis, modeling, combinatorics, graph theory, etc. The successful candidate must be able to document strong teaching abilities. Salary is commensurate with experience and qualifications.

Submit a letter of application, curriculum vitae, and three letters of reference (at least one of which addresses teaching ability) to:

Jay A. Wood, Chair Mathematics Search Committee Dept. of Mathematics, Computer

Science, and Statistics Purdue University Calumet


Hammond, IN 46323-2094 Review of applications will begin January

24, 1994, and will continue until the position is filled.

Located in Northwest Indiana close to Chicago, Purdue University Calumet enrolls more than nine thousand students in more than 80 associate, bachelor's, and master's degree programs in 16 academic departments. The 12 building, commuter campus is situated on 180 wooded acres, less than one hour by car or train from Chicago. Purdue University Calumet is an Equal Opportunity/Affirmative Action Employer and applications from women and minorities are especially encouraged.

PURDUE UNIVERSITY CALUMET Coordinator of Basic

Mathematics Programs, and Assistant or Associate Professor

Department of Mathematics, Computer Science,

and Statistics

Responsibilities: Coordinate mathematics courses and develop curriculum for underprepared, entering students. Teach undergraduate mathematics and/or mathematics education courses. Appropriate scholarship is required.

Requirements: The successful candidate must have a doctorate with at least a Masters in Mathematics. Also required is experience teaching mathematics to, and program development for, underprepared students.

Submit a letter of application, curriculum vitae, and three letters of reference (at least one of which addresses teaching ability and at least one of which addresses required experience working with underprepared students) to:

Nancy L. Johnson, Chair Mathematics Search Committee Dept. of Mathematics, Computer

Science, and Statistics Purdue University Calumet Hammond, IN 46323-2094

Review of applications will begin January 24, 1994, and will continue until the position is filled.

Located in Northwest Indiana close to Chicago, Purdue University Calumet enrolls more than nine thousand students in more than 80 associate, bachelor's, and master's degree programs in 16 academic departments. The 12 building, commuter campus is situated on 180 wooded acres, less than one hour by car or train from Chicago. Purdue University Calumet is an Equal Opportunity/Affirmative Action Employer and applications from women and minorities are especially encouraged.

KANSAS

KANSAS STATE UNIVERSITY Department of Mathematics

Subject to budgetary approval, applications are invited for tenure-track and visiting positions commencing August 18, 1994; rank and salary commensurate with qualifications. The

1471

Department seeks candidates whose research interests mesh well with current faculty. The Department has research groups in the area of analysis, algebra, geometry/topology, and differential equations. Although all fields will be seriously considered, some preference will be given to candidates in differential equations. Applicants must have strong research credentials and a commitment to excellence in teaching. A Ph.D. in mathematics or a Ph.D. dissertation accepted with only formalities to be completed is required. Letter of application, current vita, description of research, and three letters of recommendation should be sent to:

Louis Pigno Department of Mathematics Cardwell Hall 137 Kansas State University Manhattan, KS 66506

It is expected that offers will begin on December 14, 1993, but applications for positions will be reviewed until February 1 , 1994, or until positions are closed. AA/EOE

PITTSBURG STATE UNIVERSITY Pittsburg, Kansas 66762

Three anticipated positions. Two tenure-track, Assistant Professor of Mathematics, beginning August 1994. Doctorate in Mathematics or related field required. One one-year appointment, with possible reappointment up to three years. Master's in Mathematics or related field required. Experience preferred for all three positions. Primary responsibilities are teaching of undergraduate Mathematics and general academic duties. 12 hours per semester. Asst. Prof. may teach graduate courses. Salary for Asst. Prof. from a base of 29,500, for one-year from a base of 24,000. For first consideration, submit resume and five names of references with addresses and telephone numbers by Feb. 18 to: Dr. Elwyn H. Davis, Chairman, Pittsburg State University, Pittsburg, KS 66762. Pittsburg State University is an Equal Opportunity/Affirmative Action Employer.

THE WICHITA STATE UNIVERSITY

The Department of Mathematics and Statistics invites applications for a tenure-eligible position starting August 1994. Special consideration will be given to persons having expertise in numerical analysis or geometric analysis. We seek someone whose research interests are consonant with those of our faculty. Senior candidates should have distinguished research records. Junior candidates are expected to have excellent research potential. All candidates should have a strong commitment to excellence in teaching and the ability to participate in and contribute to our doctoral program in Applied Mathematics. Salary and rank negotiable. Ph.D. in Mathematics is required. Women and minority candidates are especially urged to apply. Send application letter, detailed resume, and arrange to have three reference letters sent by January 20, 1994 (or monthly until the position is filled) to:

The Wichita State University

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Professor Stephen W. Brady, Search Committee Chair

Department of Mathematics and Statistics

Wichita, Kansas 67260-0033 e-mail: brady\l!twsuvm. uc. twsu. edu fax: 316-689-3748

AA/EOE

UNIVERSITY OF KANSAS Department of Mathematics

Applications are invited for a tenure-track position at the assistant professor level and for a visiting position at the assistant professor level (pending funding) beginning August 16, 1994, or as negotiated. For the tenure-track position, preference will be given to candidates first in numerical analysis or stochastic adaptive control, then to candidates whose specialties mesh well with those already represented in the department, then to all other areas of mathematics. For the visiting position, preference will be given to candidates whose research interests mesh well with those of our faculty. Candidates must have a Ph.D. or its requirements completed by August 15, 1994. Postdoctoral experience for tenure-track position is preferred but optional.

Application, detailed resume with description of research, and three recommendation letters should be sent to C. J. Himmelberg, Chairman, Department of Mathematics, 405 Snow Hall, University of Kansas, Lawrence, KS 66045-2142.

Deadlines: Review of applications will begin on December 1 , 1993, and will continue until the positions are filled.

EO/AA Employer.

KENTUCKY UNIVERSITY OF LOUISVILLE

Assistant Professor Department of Mathematics

The Department of Mathematics invites applications for a tenure-track position at the Assistant Professor level, beginning in the fall semester 1994. Applicants are required to have a Ph.D. in the mathematical sciences by Fall1994. Candidates should show evidence of (or exhibit the potential of attaining) a strong research record. Preference will be given to candidates whose research interests are compatible with those of the Department. Candidates also should show a strong interest in instruction on an introductory as well as advanced level at a large public urban university.

Applicants should send a curriculum vitae and a letter of application, including the AMS classification code of their primary area of research, as well as arrange for at least three letters of recommendation to be sent to:

Michael S. Jacobson, Search Committee Chairman

Department of Mathematics University of Louisville Louisville, Kentucky 40292 e-mail: msearch\l!ulkyvx.louisville.edu


Review of applications will begin December 15, 1993, and continue until the position is filled or the search ended. Applications from African Americans, women, and other minority candidates are especially encouraged. The University of Louisville is an AA/EO Employer.

LOUISIANA NORTHEAST LOUISIANA UNIVERSITY

Northeast Louisiana University is seeking applicants for the position of Head of the Department of Mathematics beginning July 1 , 1994. Applicants should possess the Ph.D. degree in mathematics and have demonstrated accomplishments in teaching and scholarly activities. Rank and salary will be commensurate with experience and qualifications. Northeast Louisiana University is a four year state supported university with an enrollment of 11 ,500 students and which offers the B.S. degree in mathematics. Review of applications will begin on March 1, 1994, and continue until the position is filled. Applications and nominations should be sent to:

Mathematics Search Committee Office of the Dean College of Pure and Applied Sciences Northeast Louisiana University Monroe, LA 71209-0500 318-342-1750 fax: 318-342-1755 dpasmith\l!merlin.nlu.edu

NLU is an equal opportunity employer.

MAINE BOWDOIN COLLEGE

Brunswick, Maine 04011

Mathematics Department: Tenure-track Assisant Professorship in applied mathematics starting Fall 1994. Initial appointment for three years with renewal possible. Possibility of second, non-tenure-track position-field open. Ph.D. required and strong research record or potential expected. Normal teaching load is two courses per semester. Candidates with record of effective undergraduate teaching preferred. Review of candidates begins 1 January, but applications will be considered until position is filled. Send resume and 3 letters of recommendation to James E. Ward, Chair, Department of Mathematics, Bowdoin College, Brunswick, ME 04011. Include e-mail address. Bowdoin College is committed to equal opportunity through affirmative action. Women and members of minority· groups are urged to apply and invited to identify themselves as such.

MARYLAND THE JOHNS HOPKINS UNIVERSITY

Department of Mathematical Sciences

Applications are invited for an anticipated faculty position in Statistics.

Substantial capabilities in statistical theory, a plications and methodology are required. A b~oad mathematical and statistical background with an applied statistics specialization is desired. Selection will reflect demonstration and promise of excellence in research, teaching, and innovative applications. A Ph.D. degree is required. Applicants at all levels will be considered.

Minority and women candidates are encouraged to apply. The Johns Hopkins University is an Affirmative Action/Equal Opportunity Employer.

Applicants are requested to send initially only a curriculum vita with a cover letter describing professional interests and aspirations. Recommendation letters, transcripts, preprints and reprints are to be furnished only upon request. Please address applications to: Faculty Search Committee, Department of Mathematical Sciences, 220 Maryland Hall, The Johns Hopkins University, Baltimore, Maryland 21218-2689

UNIVERSITY OF MARYLAND AT COLLEGE PARK

Program: Four postdoctoral fellowships to support the research projects of outstanding African American scholars in any discipline. Scholars will be expected to be in residence during the tenure of the award. Tenure: A one-year or twoyear appointment, beginning August 17, 1994. Stipend and Allowances: $34,00Q-$36,000, depending on experience; $3,000 for travel or research-related expenses, and fringe benefits. Eligibility: Black Americans (citizens or permanent resident aliens) who completed the Ph.D. degree from an accredited university in 1990 or later, or who will receive the degree by July 1, 1994. Deadline: January 28, 1994. Information and Applications: Available from department chairs at UMCP or Graduate Fellowship Office, 2126 Lee Building, University of Maryland, College Park, MD 20742. Telephone: 301-405-4207, Fax no.: 301-314-9305.

TEACH IN ASIA OR EUROPE

University of Maryland University College seeks excellent teachers for openings on U.S. military bases overseas. Appointments begin August 1994. Requirements include M.A. or Ph.D., recent college teaching experience, and U.S. citizenship. Competence to teach in another discipline desirable. Benefits include transportation and military base privileges (PX, commissary, etc.). Frequent travel and the cost of schooling make these positions difficult for those with children. Send resume to: Dr. Ralph E. Millis, Assistant to the President, Overseas Programs, University of Maryland University College, College Park, MD 20742-1642. AAIEEO.


MASSACHUSETTS

COLLEGE OF THE HOLY CROSS Worcester, Massachusetts

Tenure track appointment beginning in September 1994 is available for a Ph.D. mathematician interested in teaching at an undergraduate liberal arts college. Strong commitment to teaching and research is required. Preference will be given to candidates in the fields of global analysis, mathematical physics, differential topology, and geometry. Teaching load is three courses each semester. Salary is competitive. Fringe benefits include TIAA-CREF, medical, dental, and life insurance plans and generous sabbatical and faculty fellowship programs.

Holy Cross is an affirmative action/equal opportunity employer. Women and minorities are encouraged to apply. Applications, including resume, undergraduate and graduate transcripts and three letters of recommendation evaluating teaching and scholarship should be sent to David B. Damiano, Chair. Deadline for Applications: February 1, 1994. Representatives of the Department will attend the Joint Mathematics Meeting in Cincinnati and will participate in the Employment Register. We expect to invite candidates to campus for interviews beginning in earty February 1994.

PARAMETRIC TECHNOLOGY CORPORATION

Mathematical Computer Programmer

We are looking for people of outstanding intelligence, creativity, and practicality, with a strong mathematical background, to enhance and extend geometrical modeling software, starting as soon as possible. Applicants should have at least 2 years of experience using the C programming language and thorough familiarity with numerical methods and the standard algorithms of computer science. Applicants should be enthusiastic about working hard to solve real word problems at the cutting edge of Computer Aided Design technology. To apply, send a resume to Human Resources, Parametric Technology Corporation, 128 Technology Drive, Waltham, MA 02154.

TUFTS UNIVERSITY Department: Mathematics

Contact Person: Todd Quinto, Search Committee Chair

Address: Medford, MA 02155 Application Deadline: February 15, 1994

Applications are invited for one tenure-track position at the rank of Assistant Professor starting September 1, 1994. A Ph.D. in mathematics with specialization in numerical analysis is required. Applicants must show promise of strong research and will be expected to excel in teaching, especially at the introductory level. The teaching load will be two courses per semester. Please send a c.v. and have three letters of recommendation sent by February 15, 1994. As an Affirmative Action/Equal Opportunity Em-


ployer, Tufts encourages women and minority candidates to apply.

WILLIAMS COLLEGE Department of Mathematics

Williamstown, Massachusetts 01267

Anticipated tenure-eligible position in statistics, beginning Fall 1994, probably at the rank of assistant professor; in exceptional cases, however, more advanced appointments may be considered. Excellence in teaching and statistics, including scholarship and consulting, and doctorate required.

Please have a vita and three letters of recommendation on teaching and statistics sent to Statistics Hiring Committee. Evaluation of applications will begin November 15 and continue until the position is filled. As an EEO/AA employer, Williams especially welcomes applications from women and minority candidates.

WILLIAMS COLLEGE Department of Mathematics

Williamstown, Massachusetts 01267

Anticipated visiting position for the 1994-95 year, probably at the rank of assistant professor; in exceptional cases, however, more advanced appointments may be considered. Excellence in teaching and research, and doctorate expected. Please have a vita and two letters of recommendation on teaching and research sent to Visitor Hiring Committee. Evaluation of applications will begin November 15 and continue until the position is filled. As an EEO/AA employer, Williams especially welcomes applications from women and minority candidates.

MICHIGAN

GMI ENGINEERING AND MANAGEMENT INSTITUTE

Faculty Position In Applied MathematicsGMI Engineering & Management Institute invites applications for a tenure-track position in Applied Mathematics. This position is at the Assistant Professor level, however, candidates with exceptional qualifications will be considered for an appointment as Associate Professor. It is intended that the position be filled by July 1, 1994.

GMI operates on a five-year fully cooperative plan of education. The Science and Mathematics Department offers a Bachelor of Science degree in Applied Mathematics with areas of concentration in Applied Analysis, Computer Science, and Statistics. The department also offers courses at all levels in support of the various Engineering and Management bachelor's and master's degree programs. Department faculty typically teach 3 courses per term and are expected to participate in research and professional development, curriculum development, student advising, and other such service activities.

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Qualifications for this position include an earned Ph.D. in Mathematics or in a related field, an extensive background in applied mathematics, the ability to be an effective teacher while pursuing an active research program, and effective communication skills in the English language. Experience in computational mathematics, biomechanics, or the modeling of solids or control systems is strongly preferred but not required. Experience in undergraduate teaching and/or industry is preferred but not required. The applicant must be able to produce legal authorization to work in the United States at the time of hire.

Please send resume, brief statement of research interests, brief statement of teaching philosophy, and three letters of reference to: Professor John W. Dulin, Search Committee Chair, Science and Mathematics Department, GMI Engineering & Management Institute, 1700 West Third Avenue, Flint, Michigan 48504-4898. To insure full consideration, all application materials must be received by February 25, 1994.

GMI is an affirmative action/equal opportunity employer and actively seeks the candidacy of women and minorities. GMI is a smoke free facility.

WESTERN MICHIGAN UNIVERSITY Department of Mathematics

& Statistics Kalamazoo, Ml 49008-5152

Western Michigan University seeks applications for two tenure-track assistant professor positions in mathematics for Fall1994, pending budgetary approval. Both positions require a Ph.D. degree or evidence of imminent award in the appropriate area of mathematics. The first requires expertise in the area of analysis and preference will be given to applicants with research interests in approximation theory, complex analysis, optimization, or differential equations. The second requires expertise in computational/numerical mathematics. Applicants must demonstrate potential for teaching, scholarship, and publication. Western Michigan University, a Carnegie Classification Doctoral I Institution, has embarked upon a vigorous affirmative action program and encourages applications from women and members of minority groups. Send a letter of application, vita, graduate transcripts, and three letters of recommendation to Ruth Ann Meyer, Chair, Department of Mathematics and Statistics, Western Michigan University, Kalamazoo, Ml 49008. Review of applications will begin December 1 , 1993, and continue until positions are filled. Western Michigan University is an EOEIAA employer.

MINNESOTA

ST. CLOUD STATE UNIVERSITY St. Cloud, MN 56301-4498

Mathematics Tenure Track Position

Asst. Professor, start fall, 1994. Salary range $26,757-$38,000, depending on experience.

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Qualifications: Doctorate in mathematics (recent Ph.D. preferred), strong commitment to and demonstrated effectiveness in quality teaching, strong potential for professional activity. Responsibilities: teach mostly undergrad math courses (12 hours/week), advise students, curr. development, scholarly/professional activity. To Apply: Send completed SCSU Application form, vita, transcripts, statement of professional aspirations and goals, and at least 3 letters of reference directly to:

Dr. Gary Buls, Chair Math Search Committee Dept. of Math. Phone: 612-255-3001 E-mail:

[email protected] Women, minorities and, persons with dis

abilities are encouraged to apply.

UNIVERSITY OF ST. THOMAS Department of Mathematics

St. Paul, MN 55105 Assistant Professor of Mathematics

Applications are sought for a non-tenure-track position in mathematics. Applicants must have completed a Ph.D. in an area of discrete mathematics, be recognized for quality undergraduate teaching, have a well-defined research agenda, and share a commitment to liberal arts education. Candidates should also consider their role in contributing to the mission of the University. The University of St. Thomas, located in the heart of the attractive Twin Cities metropolitan area, has, for over a century, provided a strong program of liberal arts education in the Catholic tradition. The Department of Mathematics offers a comprehensive undergraduate program. Application materials, including a letter of interest, a CV, and three letters of recommendation (including comments on the applicant's experience and promise in the areas of teaching and scholarship) must be received by January 1 , 1994. Applications should be sent to Suzanne Lechtman, Department of Mathematics, University of St. Thomas, St. Paul, MN 55105. The University of St. Thomas is an equal opportunity/affirmative action employer. Qualified women and persons of color are particularly encouraged to apply.

MISSISSIPPI

MISSISSIPPI STATE UNIVERSITY Search Reopened

Head Department of Mathematics and Statistics

Nominations and applications are invited for the position of Head of the Department of Mathematics and Statistics at Mississippi State University. Mississippi State University is a comprehensive land-grant institution and is rated as a Research I Institution by the Carnegie Foundation and a Doctoral I Institution by the Southern Regional Education Board. The department is housed in the College of Arts and Sciences and offers programs for the B.A., B.S., and M.S. in Mathematics, M.S. in Statistics, and the Ph.D. in Mathematical Sciences. The de-


partment currently has 35 faculty members approximately 85 undergraduate majors, anci 27 full-time graduate students. Some faculty in the department have cooperative research programs with faculty in the NSF Engineering Research Center. The anticipated retirement of up to six present faculty members over the next five years offers the incoming head a unique opportunity to shape the department. The applicant should have an earned doctorate in any area of Mathematical Sciences, strong administrative skills, an established record in research, and a commitment to excellence in teaching, research, and other scholarly activities. It is expected that this person will be appointed with the rank of Associate or Full Professor.

Screening of applicants will begin in December 1993 and will continue until the position is filled. The position is available July 1, 1994. Send nominations or applications and resumes, including names, addresses, and telephone numbers of at least three references, to:

Stephen B. Klein, Chair Mathematics and Statistics Head

Search Committee P.O. Drawer 6161 Mississippi State University Mississippi State, MS 39762

Mississippi State University is an Affirmative Action/Equal Opportunity Employer.

MISSISSIPPI STATE UNIVERSITY Department of Mathematics

and Statistics

The Department invites applications for two or more anticipated visiting or tenure-track positions at the rank of assistant or associate professor for 1994-1995. Requirements include a doctoral degree, demonstrated success or strong potential in research, and commitment to effective teaching. Candidates with research interests in all areas are welcome to apply, but for positions in mathematics, preference will be given to those interested in applied mathematics, computational mathematics, and differential equations; for positions in statistics, preference will be given to those interested in areas of applied statistics and applied probability. Salary is competitive and commensurate with qualifications.

The Department offers graduate programs leading to an M.S. in both mathematics and statistics and a Ph.D. in mathematical sciences. Opportunities exist for applicants with an interest in interdisciplinary research or consulting. Applicants should submit a curriculum vitae and arrange for three letters of recommendation to be sent to: C. Wayne Mastin, Chair, Screening Committee, Mississippi State University, Mississippi State, MS 39762-5921 (e-mail: [email protected]; fax: 601-325-0005). The review of applications will begin on January 15, 1994, and continue until the positions are filled.

Mississippi State University is an equal opportunity/affirmative action employer.

THE UNIVERSITY OF MISSISSIPPI Department of Mathematics

University, Mississippi 386n

Applications are invited for one-possibly twotenure-track positions beginning Fall1994 at the assistant professor level. Applicants should hold the Ph.D. degree by September 1994. Strong commitment to excellence in research and teaching is essential. Outstanding candidates in all fields of mathematics are encouraged to apply.

Applications, including a vita and three letters of reference (one of which should address teaching effectiveness), should be sent to:

Search Committee Department of Mathematics University of Mississippi University, MS 386n

Applicants are encouraged to include an email address if possible. The selection process will begin February 16, 1994, and will continue until the position is filled.

The University of Mississippi has a strong institutional commitment to the principle of diversity. In that spirit, it is particularly interested in receiving applications from a broad spectrum of people, including women, members of ethnic minorities, and differently abled individuals. AA/D/EEOE.

NORTHWEST MISSOURI STATE UNIVERSITY

Mathematics and Statistics (Chairperson)

Perform the administrative duties of chairperson; teach upper and lower division courses; and be active in research, student support, and service to the department and university. Requires Ph.D. in Mathematics. Candidates should have administrative experience, an interest in developing programs and curricula to enhance student performance in mathematics and general education; evidence of on-going professional activity; ability to write grant proposals and to develop and manage budgets; and the interest and skills to promote the department and the university. Application deadline: January 15, 1994, or until filled. Position available: August 15, 1994. Send letter of application addressing the position, current resume, transcript, and five letters of reference to Dr. Gerald W. Brown, Dean; College of Agriculture and Science. Northwest Missouri State University, Maryville, MO 64468. AA/EOE. Northwest Encourages Women and Minorities to Apply.

SOUTHWEST MISSOURI STATE UNIVERSITY

Mathematics Department Head

Southwest Missouri State University invites apPlications and nominations for the position of Head of the Department of Mathematics, effective August 1994. SMSU has an enrollment of 20,000, and the department has 250 majors and 20 masters students. The 28 faculty maintain research interests in algebra, analysis,


differential equations, mathematics education, and statistics. Applicants must have a Ph.D. in a mathematical science, have a distinguished record of achievement in mathematical research and teaching, and demonstrable administrative skills. Especially important are a commitment to excellence in teaching, research, and other scholarly activities; effective communication and management of resources; and visionary leadership in undergraduate and graduate education. Applicants must submit, by February 8, 1994, a letter of application, a curriculum vitae, and the names, addresses, and telephone numbers of five references to: Dr. John Kubicek, Chair of the Search Committee, Department of Mathematics, Southwest Missouri State University, Springfield, MO 65804-0094; Phone: 417-836-5112; Fax 417-836-6583. SMSU is an AA/EO employer. Women and minorities are especially encouraged to apply.

UNIVERSITY OF MISSOURI-ROLLA Department of Mathematics

and Statistics, Rolla, MO 65401

Possible tenure-track positions available for Fall 1994. Rank and salary are open and depend on qualifications, but applicants must have completed the Ph.D. by August 15, 1994. We are specifically seeking applicants whose training is in algebra/combinatorics or numerical analysis/numerical partial differential equations. Both research potential and teaching ability will be considered in the selection. Submit curriculum vitae, summary of research, copies of transcripts, and three letters of reference to W. T. Ingram, Chairman. In your cover letter and on the outside of the envelope, please clearly identify your area of training. Applicant review will begin in January 1994. In order to receive full consideration, please have all materials in by January 1. AA/EOE

NEW HAMPSHIRE • ~ ~' • ~ ·~ • " 0<

DARTMOUTH COLLEGE John Wesley Young Research Instructorship in Mathematics

The John Wesley Young Research Instructorship is a two year postdoctoral appointment for promising new or recent Ph.D.s whose research interests overlap a department member's. Current departmental interests include areas in algebra, analysis, combinatorics, computer science, differential geometry, logic and set theory, number theory, probability and topology. Teaching duties of four ten-week courses spread over two or three quarters typically include at least one course in the instructor's speciality and include elementary, advanced, and (at instructor's option) graduate courses. Nine-month salary of $34,000 supplemented by summer (resident) research stipend of $7,556 (two-ninths). Send letter of application, resume, graduate transcript, thesis abstract, description of other research activities and intersects if appropriate, and 3 or preferably 4 letters of recommendation (at least one should discuss teaching) to Phyllis A. Bellmore, Mathemat-


ics and Computer Science, 6188 Bradley Hall, Hanover, NH 03755-3551. Applications received by Jan. 15 receive first consideration; applications will be accepted until position is filled. Dartmouth College is committed to affirmative action and strongly encourages applications from minorities and women.

NEW JERSEY

DIMACS (CENTER FOR DISCRETE MATHEMATICS

AND THEORETICAL COMPUTER SCIENCE)

Applications are invited for visiting and postdoctoral positions at the Center for Discrete Mathematics and Theoretical Computer Science (DIMACS). DIMACS is a Science and Technology Center funded by the NSF, whose participating institutions are Rutgers University, Princeton University, AT&T Bell Laboratories, and Bellcore. Research and education activities at DIMACS focus on such areas as analysis of algorithms, combinatorics, complexity, computational algebra, discrete and computational geometry, discrete optimization, and graph theory. A primary activity of the center is to sponsor year-long research programs on specific topics of current interest. The program for 1994-1995 is Mathematical Support for Molecular Biology.

POSTDOCTORAL FELLOWSHIPS: All DIMACS postdoctoral fellows are expected to participate in both the research and educational activities of the center. Fellowships are awarded almost exclusively to those who have completed a Ph.D. in Mathematics, Computer Science, or an allied field within the last three years. Several different categories of fellowships are anticipated.

VISITOR PROGRAMS: The center is also happy to host both long-term and short-term visitors who come with full or partial support from other sources. Some support is available for visitors directly involved in the Special Year.

All applications are due no later than January 15, 1994. For detailed information on the visitor program and specific fellowships, please send e-mail to <fellows<!!dimacs. rutgers. edu> or write to: DIMACS Center, Rutgers University, P.O. Box 1179, Piscataway, NJ 08855-1179.

All participating institutions are equal opportunity/affirmative action employers.

RUTGERS UNIVERSITY-NEWARK Assistant Professor of Mathematics

The Department of Mathematics and Computer Science invites applications for an anticipated tenure-track Assistant Professor position beginning September 1994. Candidates must have a Ph.D., have a strong research record, and be able to demonstrate outstanding promise, as well as a commitment to effective teaching. Preference will be given to candidates with research interests in one or more of the following areas: algebraic geometry, representation theory, automorphic forms, and number theory.

Applicants should arrange for a curriculum vitae and at least four letters of recommendation, including one which addresses teach-

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ing, to be sent to Mark Feighn, Associate Chair, Department of Mathematics and Computer Science, Rutgers University, Newark, NJ 071 02. Responses may also be e-mailed to math<llandromeda. rutgers. edu. Processing of applications will begin January 15, 1993.

Rutgers University is an equal opportunity/affirmative action employer.

NEW MEXICO

THE UNIVERSITY OF NEW MEXICO Albuquerque, New Mexico


Subject to administrative approval, the Department anticipates that several tenure track positions will be available, beginning in the Fall Semester 1994. We are particularly interested in candidates at the assistant professor level. Candidates must have a strong research record and a commitment to excellence in teaching.

The Department of Mathematics and Statistics currently has 41 faculty members and an active and expanding graduate program. The Department has close research ties with Los Alamos and Sandia National Laboratories, and access to major computing facilities. Joint appointments with other departments are possible.

Review of applications will begin January 3, 1994, and will continue until the positions are filled. All exceptionally strong candidates are urged to apply. Please have curriculum vitae, (including e-mail address if possible) and three letters of reference sent to:

Professor Benjamin Mann, Chair Hiring Committee Dept. of Mathematics & Statistics The University of New Mexico Albuquerque, NM 87131

THE UNIVERSITY OF NEW MEXICO IS AN EQUAL OPPORTUNITY AND AFFIRMATIVE ACTION EMPLOYER

NEW YORK

MATHEMATICAL SCIENCES INSTITUTE

The Mathematical Sciences Institute of Cornell University and the State University of New York at Stony Brook has positions available for scientific visitors for the year beginning August 1994. For these positions, MSI prefers visitors not more than five years beyond the doctoral degree. Appointments are for the academic year with possible extension to a second year. Salary is $35,000, plus benefits. Send application, to include a letter of research interests; curriculum vitae with list of publications; and three letters of support, one from the thesis advisor, to the attention of the coordinator listed below. Reprints of publications are appreciated. Qualified women and minority applicants are encouraged to apply. Applications are due January 3, 1994.

Appointments may be available in Nonlinear Analysis (attn. J. Glimm), Hybrid Systems (attn. A. Nerode), Symbolic Computation/Computer Algebra/Computational Complexity (attn. M.

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··· an·~:- rr-I~~-Ciassified Advertisements

Sweedler), and Stochastic Analysis (attn. R. Durrett).

Send to: Mathematical Sciences Institute Suite 321, 409 College Avenue .Ithaca, New York 14850-4697

For information, contact MSI: 607-255-8005, fax: 607-255-9003, or e-mail: deedee<ll msiadmin. cit . cornell. edu. Appointments are contingent upon continued funding of the above research areas. MSI is partially funded by the U.S. Army Research Office. Cornell University is an Equal Opportunity/Affirmative Action Employer.

SUNY AT BUFFALO Department of Statistics

Applications are invited for two positions in the Department. One position is for a Biostatistician (or related field)-the other position is for any field in Statistics. Both positions are tenure-track and are at the Assistant or beginning Associate Professor levels. The positions call for persons with excellence in research and teaching. Some consulting duties are also required.

Minority and women candidates are encouraged to apply. SUNY at Buffalo is an Affirmative Action/Equal Opportunity Employer.

Applicants are requested to send a curriculum vitae with a list of three names (with addresses) of persons who can be contacted as references. Please send applications to: Professor Irwin Guttman, Chair, Department of Statistics, SUNY at Buffalo, 249 Farber Hall, 3435 Main Street, Buffalo, New York 14214-3000.

NORTH CAROLINA

NORTH CAROLINA STATE UNIVERSITY

The Department of Mathematics and the Center for Research in Scientific Computation at N. C. State University expect to make several postdoctoral appointments for the following positions (the availability of positions is contingent upon funding), starting July 1, 1994.

1. Two year Visiting Assistant Professorships in the Department. The Department is interested in applicants who work in research areas of algebra, analysis, symbolic computation, and ordinary differential equations.

2. The appointments in the Center will be in the area of applied mathematics and scientific computation. The research interests of the Center include mathematical modeling, analysis and control of partial differential equations, numerical optimization, computational fluids and flow control, high-performance computation and biomathematics. The successful applicants will be involved in research programs between the Center and other research groups at NCSU which offer a unique opportunity for postdoctoral research on mathematical projects arising in industrial/governmental laboratories.

Applicants should send a vita and brief description of research interests and have 3 letters of recommendation sent to Professor K. Ito, Mathematics, Box 8205, N. C. State University,


··----Raleigh, NC 27695-8205. Applications will be considered at any time after January 15 1994 as funding becomes available. NCsu' is an affirmative action/equal opportunity employe( In its commitment to diversity and equity, NCSu seek~ applications from women, minorities, and the disabled.

NORTH CAROLINA STATE UNIVERSITY

The Department of Mathematics at N. C. State University expects to make a tenure-track faculty appointment in applied analysis. Strong preference will be given to candidates in applied functional analysis, partial differential equations or applied probability and stochastic processes: The appointment will be at the rank of Assistant Professor or above and will start July 1, 1994. The applicant should have substantial experience beyond the Ph.D. (i.e., tangible records of significant research contributions and outstanding teaching).

In addition to strong representation in pure mathematics, the Department has an outstanding group of applied mathematicians in the areas of control and optimization, numerical analysis, ordinary and partial differential equations, and probability and stochastic processes. Much of the research in these areas is analysis/functional analysis-based, and the successful applicant will be expected to interact with members of the applied mathematics group.

The successful applicant will have the opportunity to become a member of the Center for Research in Scientific Computation, which facilitates interaction between the faculty in the Mathematics Department and other research institutions and industry.

Applications should send a vita and have 3 letters of recommendation sent to Professor H. T. Banks, Director, Center for Research in Scientific Computation, Box 8205, N. C. State University, Raleigh, NC 27695-8205. Phone: 919-515-5289. E-mail: crsc<llmath.ncsu.edu. On February 1, 1994, we will begin to select candidates from the pool of complete applications.

N. C. State University is an equal opportunity/affirmative action employer. In its commitment to diversify and equity, NCSU seeks applications from women, minorities, and the disabled.

WAKE FOREST UNIVERSITY Department of Mathematics


Applications are invited for a position as Instructor or Visiting Assistant Professor in Mathematics. The term is one year, renewable for up to three years. Rank is dependent upon qualifications, and a Mater's or Ph.D. degree in Mathematics or Statistics is required. Duties consist only of teaching three courses per semester. A strong interest and preparation for teaching calculus and introductory statistics is desirable. The department has 22 members, offers a B.S. and M.A. in mathematics, and a B.S. and M.S. in computer science. Send a letter of application and resume to

Richard D. Carmichael, Chairman, Department of Mathematics and Computer Science, Wake Forest University, Box 7388, Winston-Salem, NC27109. AA/EO employer.

OHIO

BOWLING GREEN STATE UNIVERSITY Department of Mathematics

and Statistics Bowling Green, OH 43403-0221

Assistant Professor, Tenure-Track The Department anticipates two tenure-track

positions and encourages applications in: Mathematics Education, Functional/Applied Analysis (Approximation Theory, Banach Spaces, Operator Theory, Optimization, PDEs and Scientific Computation) and Probability and Stochastic Processes. We have 31 faculty, 70 full-time graduate students, and a growing doctoral program (23 Ph.D.s awarded in the last five years). The selected candidate, who must have a Ph.D., will be expected to pursue research, teach two courses per semester, work with graduate students, and eventually have the opportunity to direct Ph.D. dissertations. Those with postdoctoral experience are encouraged to apply. Candidates are expected to have a strong research record (or potential) in an area compatible with current faculty. Salary CompelRive. Please provide vita, publication list, official transcript, and have three letters of recommendation (one concerning teaching) sent by February 1 , 1994, to:

Professor A.M.W. Glass, Chair Department of Mathematics and

Statistics Bowling Green State University Bowling Green, OH 43403-0221 USA

Equal Opportunity Employer: Women and minorities are encouraged to apply.

CLEVELAND STATE UNIVERSITY Assistant Professor in Mathematics

~he Mathematics Department invites applications for a tenure track position at the Assistant Professor level. Candidates must have completed a Ph.D. in a mathematical science by the starting date and must have demonstrated a commitment to excellence in both teaching and research. Applicants must have research specialization in one of the following areas: applied statistics, applied probability, stochastic processes, numerical analysis, wavelet theory. Applicants should arrange to have a vita and three letters of recommendation sent to Professor John J. Walsh, Department of Mathematics, Cleveland State University, Cleveland, ~H 44115. (Funding for this position is pendIng.) Starting Date: September 19, 1994. Salary: competitive. Deadline for applications: February 4, 1994. Minorities, women, and handicapped are particularly encouraged to apply. Cleveland State University is an Equal Opportunity/Affirmative Action Employer.

.Eli!IWIB.-!!1~ II 1a-a -· Classified Advertisements

THE OHIO STATE UNIVERSITY Mansfield Campus

Tenure-track assistant professorship in mathematics. Ph.D. required. Preference for candidates specializing in algebraic geometry or Lie algebras. Strong commitment both to undergraduate teaching and to math research is essential. The successful candidate will hold rank in the Ohio State University's Department of Mathematics. To apply, send letter, vita, and 3 letters of reference to Dr. Gary Kennedy, OSU Mansfield, 1680 University Drive, Mansfield OH 44906. To ensure full consideration, arrange for all materials to arrive by February 15, 1994. The Ohio State University is an equal opportunity/affirmative action employer. OSU Mansfield has identified diversity of its faculty, staff, and students to be a very important goal. Qualified women, minorities, Vietnam-era veterans, and individuals with disabilities are encouraged to apply.

UNIVERSITY OF TOLEDO Department of Mathematics

The department invites applications for a tenuretrack assistant professor position beginning in September 1994. We seek candidates whose area of research is compatible with those of our current faculty. Applicants should have a Ph.D. (or the completion of all requirements for a Ph.D. by Fall 1994) and be committed to excellence in both teaching and research.

Applicants should send a curriculum vitae and arrange to have three letters of reference sent to:

Mathematics Search c/o Dean, College of Arts and Sciences University of Toledo Toledo, OH 43606

The University of Toledo is an equal opportunity/affirmative action employer. Applications from women and minorities are especially welcome.

XAVIER UNIVERSITY Department of Mathematics

and Computer Science Cincinnati, Ohio

Assistant Professor of Mathematics

Applications are invited for a tenure-track position in mathematics at the assistant professor level starting in the fall of 1994. Applicants should have completed a Ph.D. by August 1994. A candidate must be committed to outstanding teaching at the undergraduate level, to scholarly activity, and to service consistent with the mission of Jesuit higher education. Preference will be given to applicants who can teach a broad range of courses in an undergraduate mathematics curriculum. We encourage applications from women and minorities. Applications will be accepted until February 1 , 1994. A completed application consists of a statement of goals and aspirations, resume, copy of graduate transcripts, and three letters of recommendation. Send to:

The Search Committee


c/o J. B. Walker, Chair Department of Mathematics Xavier University Cincinnati, OH 45207-4441

Xavier University is an EO/AA Employer.

OKLAHOMA

UNIVERSITY OF OKLAHOMA Department of Mathematics

Applications are invited for a tenure-track or tenured faculty position in mathematics education starting in fall 1994. Rank and salary will be commensurate with qualifications and experience. Candidates are required to have a Ph.D. in mathematics or in education with a mathematics specialization, and demonstrated commitment to research in mathematics education. A strong background in mathematics beyond the master's level is also required. Preference will be given to those whose primary research involves collegiate mathematics education or secondary school teacher training.

The faculty member is expected to carry a teaching load of two courses per semester. Candidates should be capable of directing doctoral students and contributing leadership to the department's active graduate program in mathematics education. Responsibilities will include involvement with undergraduate mathematics courses and with both undergraduate and graduate courses in mathematics education.

Initial screening will begin on January 31 , 1994, and continue until the position is filled. Send a vita, statement of professional goals, and three letters of recommendation to:

Andy Miller Math Education Search Committee Department of Mathematics University of Oklahoma Norman, OK 73019-0315

The University of Oklahoma is an EO/AA employer.

OREGON

UNIVERSITY OF OREGON Department of Mathematics

Eugene, Oregon 97403 Frank W. Anderson, Head

Assistant or Associate Professor tenure-track position in pure mathematics or mathematical statistics beginning September 1994. Qualifications are a Ph.D. in mathematics, a record of research accomplishment, and evidence of teaching ability. Preference given to person with research interests that complement those currently represented. Competitive salary with excellent fringe benefits. Send complete resume and three letters. Closing date is January 5, 1994. Women and minorities are encouraged to apply. An EO/AA/ADA Institution committed to cultural diversity.

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PENNSYLVANIA

CARNEGIE MELLON UNIVERSITY Center for Nonlinear Analysis Department of Mathematics

The Center for Nonlinear Analysis expects to make four to five Postdoctoral appointments for 1994-1995 in the area of applied analysis. This is a one-year (twelve-month) joint appointment by the Center and Department of Mathematics. Recipients will teach at most one course per semester. Applicants should send a vita, list of publications, a statement describing current and planned research, and arrange to have at least three letters of recommendation sent to the committee. The deadline for application is January 21, 1994; late applications may be considered on a space-available basis. All communications should be addressed to: Postdoctoral Appointments Committee, Department of Mathematics, Carnegie Mellon University, Pittsburgh, PA 15213. Carnegie Mellon University is an Affirmative Action/Equal Opportunity Employer.

CARNEGIE MELLON UNIVERSITY Zeev Nehari

Assistant Professorship in Mathematics

The Zeev Nehari Assistant Professorships have been instituted in the Department of Mathematics of Carnegie Mellon University to honor the memory of Professor Zeev Nehari, a member of the Department from 1954 to his death in 1978. The position availale is for an initial period of one or two academic years, beginning in September 1993, and extendable for one additional year when mutually agreeable. It carries a reduced academic year teaching load of six hours per week during one semester and three hours per week during the other. Applicants are expected to show exceptional research promise, as well as clear evidence of achievement, and should have research interests which intersect those of current faculty of the Department. Applicants should send a vita, list of publications, and a statement describing current and planned research, and arrange to have three letters of recommendation send to the committee. All communications should be addressed to: Appointments Committee, Department of Mathematics, Carnegie Mellon University, Pittsburgh, PA 15213. Carnegie Mellon University is an Affirmative Action/Equal Opportunity Employer.

MILLERSVILLE UNIVERSITY Department of Mathematics

Full-time tenure-track assistant professorship to begin August 1994 in a department of 19 faculty and 250 majors in mathematics and mathematics education. Area of expertise in Applied Analysis. Duties include 12-semester hour teaching load, scholarly activity student advisement, curriculum development, and committee work. Ph.D. degree (or completion within one year) in mathematics required. Must exhibit evidence of strong commitment to teaching and

1478


scholarly activity and must be prepared to teach a broad spectrum of undergraduate courses from college algebra through ordinary and partial differential equations and numerical analysis. Evidence of teaching effectiveness is the primary consideration. Interest in using technology in the classroom is desirable. Salary/benefits are excellent. Send letter of application, curriculum vita, copies of graduate transcripts, and three letters of recommendation (at least two of which attest to recent teaching effectiveness) to: Prof. Robert T. Smith, Staff Search Committee, Department of Mathematics/AM 1293, P.O. Box 1002, Millersville University, Millersville, PA 17551-0302. Full consideration given to applications received by February 15, 1994. AAIEOE.

MILLERSVILLE UNIVERSITY Department of Mathematics

Full-time, tenure-track assistant professorship to begin August 1994 in a department of 19 faculty and 250 majors in mathematics and mathematics education. Teaching responsibilities in number theory and algebra, as well as in a broad spectrum of undergraduate courses, from college algebra through junior/senior level mathematics. Duties include 12-semester hour teaching load, scholarly activity, student advisement, curriculum development, and committee work. Ph.D. degree (or completion within one year) with specialization in number theory or algebra is required. The Ph.D. is required for continuance beyond the first year. Candidates must exhibit evidence of a strong commitment to excellence in teaching and continued scholarly activity. Evidence of teaching effectiveness is the primary consideration. Interest in using technology in the classroom is desirable. Excellent salary and benefits. Send letter of application, vitae, copies of all transcripts, and three current letters of recommendation (at least two of which attest to recent teaching effectiveness) to Prof. Marshall Anderson, Staff Search Committee, Dept of Mathematics/AMS1293, MILLERSVILLE UNIVERSITY, Millersville, PA 17551-0302. Full consideration will be given to applications received by 2/15/94. An AA/EOE.

TEMPLE UNIVERSITY

The Department of Mathematics expects to have an opening for a position at the full professor level starting Fall 1994. The position is for a distinguished mathematician of demonstrated accomplishment and leadership, preferably in a field compatible with those represented in the department. It is expected that the successful candidate will become part of the academic leadership of the department. Accordingly, only applicants with proven record of excellence will be considered. Interested candidates should send a letter of application including names of references to: Chair, Search Committee, Department of Mathematics, Temple University (038-16), Philadelphia, PA 19122-2585.

The review process will begin on January 18, 1994.


·······································-···-----

Temple University is an equal OppO

employer. Women and minorities are e~ aged to apply. r-

SOUTH CAROLINA -,c '<oo~<'c.-3\\'-~-----CLEMSON UNIVERSITY

Department of Mathematical Sclen*

Applications and nominations are invited for the position of Department Head, available July 1, 1994. Qualifications include a Ph.D degree, teaching experience, proven research ability, and leadership potential. Administrative experience is highly desirable. The department integrates the areas of algebra/combinatorics, analysis, computational mathematics, opera. tions research, and probability/statistics into balanced undergraduate and graduate programs. With 54 faculty members and 90 graduate students, it is the largest unit within the College of Sciences. A candidate is sought who is committed to the mathematical sciences philosophy and who will provide strong leadership for future development. Initial screening will begin February 1, 1994; applications will be accepted until the position is filled. Vitae (with names and telephone numbers of three references) should be sent to: Professor Douglas R. Shier, File HS, Clemson University, Box 341907, Clemson, SC 29634-1907. Clemson University is an AAJEO Employer.

TENNESSEE

UNIVERSITY OF TENNESSEE AT CHATTANOOGA Department Head

The University of Tennessee at Chattanooga invites applications for the Head of the Department of Mathematics. A Ph.D. in a Mathematical Science, at least five years of college mathematics teaching experience, and qualifications commensurate with the rank of Associate Professor or higher are required. Applicants should provide evidence of leadership in curriculum development, teaching, public service, and research/scholarly activities. In this primarily undergraduate institution, the faculty is expected to exhibit excellence in teaching while maintaining a strong commitment to research and public service. The mathematics department has 23 faculty members including a Chair of Excellence in Applied Mathematics. Located in a very scenic metropolitan area of 400,000, UTC has a student enrollment of 8300. Send applications to Dr. DeWayne S. Nymann; Chair of the Search Committee, Dept. of Mathematics, UTC, Chattanooga, Tn 37403-2598. Screening of applicants' credentials will begin on January 3, 1994, and will continue until the position is filled. Women and minorities are encouraged to apply. UTC is an Equal Opportunity Employment/Affirmative Actionmtle IX/Section 504/ADA Institution.

UNIVERSITY OF TENNESSEE oepartment of Mathematics

Knoxville, Tennessee

Mathematics Department of the University ~ennessee, in an effort to significantly improve ~ esearch position, seeks to fill a tenure-track :;stant or beginning .associate pr?fessor.ship . numerical mathematics. A Ph.D. IS requ1red. ~me postdoctoral experience is preferred. candidates should be well versed in the core areas of Numerical ~nalysis ~ith res~arch i.nterests in the numencal solut1on of differential equations. Preference will be shown to those candidates working in numerical fluid dynamics. Employment begins August1, 1994. Substantial research promise as well as dedication to teaching are paramount. Interested applicants should arrange to have a vita, three reference letters, and a research statement sent to Professor John B. Conway, Mathematics Search, University of Tennessee, Knoxville, TN 37996~1300; recrui t<Dnovell. math. utk. edu. Rev1ew of applications will begin December 1 and will continue until the position is filled.

UTK is an EEO/AA/Title IX/Section 504/ADA Employer.

VANDERBILT UNIVERSITY Department of Mathematics

Nashville, TN 37240

We invite applications for a Distinguished or Named Professor position beginning Fall 1994. This is a tenured position and we are seeking a specialist in algebra with outstanding research credentials. The interests of our algebra group include universal algebra and lattice theory, settheoretic algebra, abelian groups, semigroups, ring theory, and logic with applications to computer science. Evidence of effective teaching is required. To apply, send the following materials in a single mailing to Professor Constantine Tsinakis, Chair, at the address above: letter of application (with e-mail address if available) and a curriculum vitae with a list of publications. Additional information, including letters of recommendation, will be requested from selected candidates after the initial screening. Only solicited letters of recommendation will be considered.

VANDERBILT UNIVERSITY IS AN EQUAL OPPORTUNITY/AFFIRMATIVE ACTION EMPLOYER.

TEXAS

TARLETON STATE UNIVERSITY

Tenure-track faculty position is available for fall 1 994. Tarleton State University seeks a person with a strong commitment to teaching undergraduate courses in Mathematics. A Ph.D. in Mathematics is required with a background in applied mathematics or analysis. Job duties will include teaching undergraduate and possibly graduate mathematics courses.

Tarleton, with an enrollment of 6,500, is located in a rural town of about 15,000, 65 miles southwest of Fort Worth. We are currently


building a masters program in Mathematics. Send a letter of application, curriculum vitae, and three letters of recommendation to Jimmy McCoy, Head of Mathematics and Physics, Box T519, Tarleton Station, Stephenville, TX 76402. Initial screening will begin on January 3, 1994, and will continue until position is filled. Tarleton State University is an equal opportunity/affirmative action employer. Women and minorities are encouraged to apply.

TEXAS A&M UNIVERSITY Department of Mathematics

Applications are invited for tenured faculty positions beginning fall 1994. The long-range plan for the department calls for a major expansion of our programs over the next three years. During this time period we expect to make a few senior appointments each year. For such a position the applicant should have an outstanding research reputation and be able to fill a leadership role in the department. An established research program, including success in attracting external funding and supervision of graduate students, will be expected and a demonstrated ability, and interest in teaching is required.

Applicants should send a vita, and arrange to have at least four letters of recommendation sent to:

William Rundell, Department of Mathematics, Texas A&M University, College Station, Texas 77843-3368; (hiring<Dmath. tamu. edu). The Department particularly encourages applications from women and minorities.

TEXAS A&M UNIVERSITY Department of Mathematics

We invite applications for tenure-track Assistant Professorships beginning fall 1994. The position requires strong research potential and excellence in teaching at both the undergraduate and graduate level. Contributions beyond the doctoral dissertation will normally be expected. The salary is competitive and the successful applicant will have a start-up package that will include a reduced teaching load and discretionary funds. Preference will be given to applicants whose research area augments our existing strengths.

Application materials, which must include a vita, a statement of research plans, and at least three letters of recommendation, should be sent to:

William Rundell, Department of Mathematics, Texas A&M University, College Station, Texas 77843-3368; (hiring<Dmath. tamu. edu). The Department particularly encourages applications from women and minorities.

TEXAS A&M UNIVERSITY Research Instructorships in Mathematics

The Department expects to have several Research Instructorships available beginning fall 1994. These are two year positions, and are intended for those who have recently received their Ph.D. Candidates must show promise of


research excellence in an area of pure or applied mathematics and preference will be given to applicants whose research area is close to those of regular department members.

Application materials must include an application letter, a vita, a statement of research goals, and three letters of recommendation. It is essential that these documents contain evidence of abilities and experience in teaching as well as research. It would be very helpful if the application letter identified members of our faculty with similar research interests.

For full consideration, the complete dossier should be sent by January 1 to:

Hiring Committee Department of Mathematics Texas A&M University College Station, Texas 77843-3368 (hiring<Dmath. tamu. edu)

Texas A&M University is an EOEIAA employer and the Department especially encourages applications from women and minorities.

TEXAS TECH UNIVERSITY Department of Mathematics

The Department of Mathematics at Texas Tech University anticipates two tenure track appointments at the assistant professor level, beginning fall 1994. For one of these positions, special consideration will be given to applicants in the area of statistics. To qualify, applicants must:

1. have a Ph.D., 2. have a strong dedication to both teaching and research, 3. exhibit research interests that are compatible with ongoing programs in the department, and 4. be willing and able to work with students at both the undergraduate and graduate level.

To apply, please send a resume and have three letters of recommendation sent to Lawrence Schovanec, Chair of the Hiring Committee, Department of Mathematics, Texas Tech University, P. 0. Box 41042, Lubbock, TX 79409. EOE/AA

THE UNIVERSITY OF TEXAS AT AUSTIN

Department of Mathematics Austin, Texas 78712

Openings for Fall 1994 will definitely include several at the Instructor level and may include one at the tenure-track/tenure level. Instructorships at The University of Texas at Austin are postdoctoral appointments, renewable for two additional years. It is assumed that applicants for Instructorships will have completed all Ph.D. requirements by August 31, 1994. Preference will go to recent Ph.D. recipients, meaning to those at most one or two years beyond their doctorates. Candidates should show superior research ability and have a strong commitment to teaching. Consideration will be given only to persons whose research interests have some overlap with those of the permanent faculty. Duties consist of teaching undergraduate or graduate courses and conducting independent research. The projected salary is $32,500 for the nine-month academic year.

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An applicant for a tenure-track or tenured position must present a record of outstanding achievement in her or his research area and must demonstrate a proficiency at teaching. In addition to the duties indicated above for Instructors, such an appointment will typically entail the supervision of M.A. or Ph.D. students. The salary will be commensurate with the level at which the position is filled and the qualifications of the individual who fills it.

Those wishing to apply are asked to send a vita and a brief research summary to the above address, c/o Recruiting Committee. Transmission of the preceding items via e-mail (address: recrui t@math. utexas. edu) is encouraged. Applications must be supported by three or more letters of recommendation, at least one of which speaks to the applicant's teaching credentials. The screening of applicants will begin on December 1 , 1993.

The University of Texas at Austin is an equal opportunity employer. Qualified women and minority group members are urged to apply.

UNIVERSITY OF TEXAS AT ARLINGTON


The Department invites applications for possibly two to three anticipated tenure-track positions beginning with the Fall Semester 1994. We seek candidates in various areas of Mathematics which are complementary to those of the current faculty and would enhance and support the goals of the Department. Application deadline is February 15, 1994, or until positions filled. Salary and rank are commensurate with qualifications which must include the Ph.D. degree (in hand or expected by Sept. 1994). Assistant Professor candidates must show strong potential for excellence in teaching and research. For an Associate or Full Professorial appointment the candidate must have excellent teaching credentials and a nationally established research record; some success in attracting outside funding is preferred. Please send a resume and three letters of recommendation to:

Chairman Recruiting Committee University of Texas at Arlington Department of Mathematics Box 19408 Arlington, TX 76019-0408

The University of Texas at Arlington is an Affirmative Action/Equal Opportunity Employer.

UTAH

UTAH STATE UNIVERSITY Department of Mathematics

and Statistics

Applications are invited for a tenure-track position in algebra at the assistant professor level to begin September 1994. Requirements include a Ph.D. (by September 1994) in mathematics, potential for research, and teaching experience with a commitment to quality teaching at both the undergraduate and graduate level. Candidates with two or three years prior experience and

1480


with research interests in algebraic geometry, commutative ring theory, representation theory, Lie algebras, or related fields are especially encouraged to apply.

Utah State University, located in the Wasatch Range of the Rocky Mountains, offers competitive salaries and excellent medical, retirement, and professional benefits. The Department of Mathematics and Statistics has a Master's and Doctoral program in both mathematics and statistics.

Applications including curriculum vitae, academic transcripts, and three letters of reference should be sent to:

Mathematics Search Committee Department of Mathematics and

Statistics Utah State University Logan, Utah 84322-3900

The selection process will begin February 15, 1994, and will continue until the position is filled.

Women and minorities are particularly encouraged to apply. Utah State University is an equal opportunity/affirmative action employer.

UNIVERSITY OF UTAH Department of Mathematics

University of Utah, Department of Mathematics, invites applications for the following positions. Availability of positions is contingent upon funding.

1 . Two or more nonrenewable three-year Instructorships. Persons of any age receiving Ph.D. degrees in 1993 or 1994 are eligible. Applicants will be selected on the basis of ability and potential in teaching and research. Starting salary will be $34,000; future cost of living increases are contingent on action by the State Legislature. Duties consist of teaching five courses during the three quarter academic year.

2. One C. R. Wylie Instructorship. The term of this instructorship is one year, but it may be renewed for up to three years. It will be awarded either to an incoming Instructor or to one of the Instructors already in residence on the basis of ability and potential in teaching and research. The stipend is $38,000. Duties consist of teaching four courses during the three quarter academic year.

3. One or more visiting faculty positions of one year or less in any of the professorial ranks. Selection will be based on potential contributions to the department's research program and on teaching ability.

It is expected that offers of Instructorships will begin on January 1 , 1994, but applications for all positions will be accepted until January 31, 1994, or until all positions are filled.

Applications for any of these positions should include curriculum vitae, bibliography, and three letters of reference. (Instructorship applications should also include an abstract of the thesis and either a list of graduate courses completed or a transcript of graduate work.) Visiting faculty applications should indicate the portion of the three-quarter academic year during which the applicant wishes to visit. Please send your application to Committee on Staffing, Department of Mathematics, 233 JWB, University of Utah,


Salt Lake City, Utah 84112. The University Utah is an Equal Opportunity, Affirmative Actb: Employer and . en?~urages applications from women and mmont1es, and provides reasonable accommodation to the known disabilities 01 applicants and employees.

WISCONSIN

UNIVERSITY OF WISCONSINPLATTEVILE


A least two tenure-track positions as assistant professor in mathematics available August 21 1994. Qualifications: Ph.D. in mathema~ or statistics required; primary responsibility is broad undergraduate teaching in mathematics or statistics; evidence of excellent undergraduate teaching experience; excellent communication skills; capable of maintaining a continuing program of scholarly activity; and indicate eligibility for continuing employment in the United States. Salary: $31,000-$34,500 depending upon qualifications and experience. The Department of Mathematics has 21 faculty. The university enrolls approximately 5000 students with programs in engineering, liberal arts, business, education, industry, and agriculture. UW-Piatteville is an affirmative action, equal opportunity employer. Women and minorities are especially encouraged to apply. The names of all finalists and of nominees and applicants who have not requested in writing that their identity not be revealed, will be released upon request. To be considered: Send letter of application (including eligibility for employment), vita, transcript(s), and three letters of recommendation to Dr. Allan Richert, Chairperson, Department of Mathematics, UW-Piatteville, Plattevillem, WI 53818. Deadline: January 21, 1994.

WYOMING

UNIVERSITY OF WYOMING Department of Mathematics

Tenure-Track Position in Algebra

The Department of Mathematics at the university of Wyoming seeks to hire an algebraist in a tenure-track position at the rank of assistant professor. The candidate should have a Ph.D. and an established research record in the representation theory of finite groups and algebras, including Lie algebras, and must have strong teaching credentials. The candidate must also demonstrate an interest in working with our existing research group in algebraic combinatorics. The Department also has active researchers in analysis, applied mathematics, and mathematics education. The availability of this position is subject to administrative approval.

Complete applications consist of a vita, a list of publications, a summary of research interests, and three letters of recommendation sent directly to Professor Myron B. Allen, Chair, Department of Mathematics, University of Wyoming, Laramie, WY 82071-3036. Completed applications received by 1 January 1994

eeeive first consideration. Women and minoririeS are encouraged to apply. The University t f Wyoming IS an affirmatiVe aclion/equal~pportunity employer.

UNIVERSITY OF WYOMING Department of Mathematics

Tenure-Track Position in Analysis

The University of Wyoming Mathematics Department. invites applications for a tenure~ track position 1n AnalysiS at the rank of ass1stant professor starting August 1994. Applicants must demonstrate strong ability in research, breadth of mathematical knowledge, interest in collaboration with mathematicians in other areas, strong commitment to high quality undergraduate and graduate teaching, and willingness to supervise masters and doctoral students. Preference will be given to researchers with strength in the areas of nonlinear functional analysis and POE. Outstanding candidates in other areas of analysis are also encouraged to apply. The availability of the position is subject to administrative approval. The Mathematics Department has 25 full-time faculty in applied mathematics, algebra/combinatorics, analysis, and mathematics education.

Complete applications consist of a vita, a list of publications, a summary of research interests, and three letters of recommendation sent directly to Professor Myron B. Allen, Chair, Department of Mathematics, University of Wyoming, Laramie, WY 82071-3036. Completed applications received by 1 January 1994 receive first consideration. Women and minorities are encouraged to apply. The University of Wyoming is an affirmative action/equalopportunity employer.

CANADA QUEEN'S UNIVERSITY AT KINGSTON


The Department will be making a renewable (tenure-track) appointment in Applied Mathematics at the Assistant or possibly Associate Professor level to begin July 1994. Membership or eligibility for membership in a Canadian professional engineering association is required. The successful applicant will have excellent research promise and a demonstrated potential to g1ve leadership in promoting scholarly activities within the Department.

Salary will be commensurate with qualifications and experience.

Interested candidates are requested to arrange that a curriculum vitae and letters of recommendation from three or more referees be received at the address below by February 1, 1994. At least one letter should comment on the candidate's teaching ability.

Professor Leslie Roberts, Associate Head


Queen's University Kingston, Ontario K7L 3N6


In accordance with Canadian Immigration requirements, this advertisement is directed to Canadian citizens and permanent residents. Queen's University has an employment equity programme and encourages applications from all qualified candidates, including women, aboriginal peoples, people with disabilities, and visible minorities. Queen's University is willing to help the spouse of a new appointee seek suitable employment. Fax: 613-545-2964; bitnet: mastdept@qucdn.

THE UNIVERSITY OF BRITISH COLUMBIA Mathematics Department

The Mathematics Department at the University of British Columbia expects to have a number of postdoctoral fellowships, sessional lectureships, and visiting positions at the Assistant, Associate, and Full Professor level for the year starting July 1, 1994, subject to the availability of funds. We also expect a number of summer session teaching positions during the months of May through August 1994. A Ph.D. or equivalent and University teaching experience and evidence of high potential for research in Mathematics are required. Since some positions will be partially supported by research grants, these positions will be filled by persons having research interests relating to the grant holders. The salary will be commensurate with experience and research record.

Applications, including C.V. and names of references, should be sent to: The Head, Department of Mathematics, University of British Columbia, Room 121, 1984 Mathematics Road, Vancouver, B.C. Canada V6T 1Z2. Applications received after January 15, 1994, will be considered only if vacancies remain to be filled. In accordance with Canadian immigration requirements, priority will be given to Canadian citizens and permanent residents of Canada. UBC welcomes all qualified applicants, especially women, aboriginal people, visible minorities, and persons with disabilities.

THE UNIVERSITY OF BRITISH COLUMBIA Assistant Professorship Mathematics Department

The Mathematics Department is seeking an outstanding candidate for a tenure track Assistant Professorship to begin 1 July 1994. Our highest priority is for a candidate in one of the following fields: Algebra, algebraic geometry, analysis, or partial differential equations. Applicants should have a proven research record of high quality and have demonstrated interest and ability in teaching. Preference will be given to candidates who have one or more years' of postdoctoral experience. This position is subject to final budgetary approval. Appointment may be considered at a higher rank for a woman with exceptional qualifications. The salary will be commensurate with experience and research record. Applicants should send a C.V. including list of publications, statement of research and teaching interests, and arrange for three letters of recommendation to be sent directly to: Professor D. Rolfsen, Head, Depart-


ment of Mathematics, The University of British Columbia, #121 - 1984 Mathematics Road, Vancouver, B.C. Canada V6T 1Z2. Applications must be received beore January 30, 1994. In accordance with Canadian immigration requirements, priority will be given to Canadian citizens and permanent residents of Canada. UBC welcomes all qualified applicants, especially women, aboriginal people, visible minorities, and persons with disabilities.

UNIVERSITE DE MONTREAL Professor of Mathematics

The Department of Mathematics and Statistics of the Universite de Montreal will have a tenuretrack position at all levels in pure mathematics with specialization in algebra, geometry, or algebraic geometry. Qualifications required: Ph.D. in mathematics. Postdoctoral experience desirable. Effective date of appointment: June 1994. Duties include both undergraduate and graduate teaching (in French), research, supervision of graduate students (M.Sc. and Ph.D.), possibility of appointment to the Centre de Recherches Mathematiques (CRM). Salary according to the collective agreement. Closing date for receipt of applications: February 1, 1994. Applications including curriculum vitae, preprints, and three letters of reference should be sent to: Christiane Rousseau, Chair, Department of Mathematics and Statistics, Universite de Montreal, P.O. Box 6128, Station A, Montreal (Quebec) H3C 3J7. Fax: 514-343-5700. In accordance with Canadian immigration requirements, priority will be given to Canadian citizens and permanent residents, men and women.

UNIVERSITY OF TORONTO Department of Mathematics

The Department solicits applications for limited term Assistant Professorships, which may be at the St. George (downtown) or Erindale campus. The positions are for the three-year period July 1, 1994, to June 30, 1997, and are subject to budgetary approval. Duties consist of teaching and research, and candidates must demonstrate clear strength in both.

Applicants should send their complete C. V. including a list of publications, a short statement describing their research programme, and all appropriate material about their teaching. They should also arrange to have at least four letters of reference sent directly to Professor K. Murty, Associate Chair, Department of Mathematics, University of Toronto, Toronto, Canada M5S 1 A 1. At least one letter should be primarily concerned with the candidate's teaching. To insure full consideration, this information should be received by November 30, 1993.

In accordance with Canadian immigration requirements this advertisement is directed to Canadian citizens and permanent residents of Canada. In accordance with its Employment Equity Policy, the University of Toronto encourages applications from qualified women or men, members of visible minorities, aboriginal peoples, and persons with disabilities.

1481

UNIVERSITY OF TORONTO Department of Mathematics

The Department solicits applications for a tenure-stream appointment in Analysis. Preference will be given to researchers in the areas of nonlinear analysis and geometric analysis.

The appointment is at the Erindale campus at the level of Assistant Profesor to begin July 1, 1994. Candidates are expected to have at least three years experience in teaching and research after the Ph.D. and to be able to demonstrate excellence in each. In particular, a candidate's research should show clearly the ability to make significant original and independent contributions to Mathematics. Salary commensurate with qualifications.

Applicants should send their complete C.V. including a list of publications,a short statement describing their research programme, and all appropriate material about their teaching. They should also arrange to have at least four letters of reference sent directly to Professor K. Murty, Associate Chair, Department of Mathematics, University of Toronto, Toronto, Canada M5S 1 A 1. At least one letter should be primarily concerned with the candidate's teaching. To insure full consideration, this information should be received by January 31, 1994.

In accordance with its Employment Equity Policy, the University of Toronto encourages applications from qualified women or men, members of visible minorities, aboriginal peoples, and persons with disabilities.

UNIVERSITY OF WATERLOO Department of Pure Mathematics

The Department of Pure Mathematics at the University of Waterloo invites applications for a tenure-track position at the Assistant Professor level starting July 1 , 1994. The Department is particularly interested in candidates whose research interests are related to Algebraic Topology, Differential Geometry, Functional Analysis, or Number Theory. In order to be considered for the position, a Ph.D. is required. An appointment will be offered only to someone with very strong research and teaching qualifications. The University of Waterloo is committed to increasing the number of its female faculty, and therefore applications from women mathematicians are particularly welcome. Duties will include research, and teaching at all levels. Salary will depend on the candidates's qualifications. The closing date for applications is January 15, 1994. An application should contain the curriculum vitae of the candidate plus three letters of reference sent directly from the referees. In accordance with Canadian immigration requirements, this advertisement is directed to Canadian citizens and permanent residents. The University of Waterloo encourages applications from qualified women and men, members of visible minorities, native peoples and persons with disabilities. The availability of this position is subject to budgetary approval. Please send applications to: Dr. J. W. Lawrence, Chair, Department of Pure Mathematics, Uni-

1482


varsity of Waterloo, Waterloo, Ontario, Canada N2L3G1.

CHINA

NATIONAL CHUNG CHENG UNIVERSITY Department of Mathematics

Taiwan, R.O.C.

The Department of Mathematics invites applications for faculty positions or visiting positions at the level of associate professor or above, available August 1 , 1994. Candidates with specialization in the following fields are preferred: Nonlinear POE, Differential Geometry, Number Theory, Statistics, and Numerical Analysis. A degree of Ph.D. is required. Applicants should send a curriculum vitae, reprints of published papers, description of current research, and three letters of recommendation to Professor C-A. Wang, Chairman, Department of Mathematics, National Chung Cheng University, Ming-Hsiung, Chia-Yi 621, Taiwan, Republic of China. Fax number: 011-886-5-272-0497.

The teaching duty is a least 2 courses per semester and the deadline for receipt of complete applications is March 15, 1994.

ENGLAND

UNIVERSITY OF LEEDS Department of Pure Mathematics

Lectureships - 2 Posts

Applications are invited for the above (permanent) posts available from 1 October 1994. The appointees will be expected to contribute actively to the research of the Department; principally Algebra, Functional Analysis, Differential Geometry, Mathematical Logic. Informal enquiries about the posts may be made to Professor J. C. McConnell, tel: 44 532 335162, fax 44 532 429925, e-mail [email protected]. Application forms and further particulars may be obtained from the Personnel Office (Academic Section), The University, Leeds LS2 9JT, England, tel: 44 532 335771, quoting the reference number 51/39. Closing date for applications is 17 December, 1993. The University of Leeds promotes an equal opportunities policy.

HONG KONG

THE CHINESE UNIVERSITY OF HONG KONG

The University (founded 1963) offers comprehensive programmes up to Ph.D. level in the Humanities, Business Administration, Education, Engineering, Medicine, Science, Social Science, and Architecture. Student enrollment will be 11 ,000 full-time equivalent in 1994-1995. The University is very active in promoting research and consultancies and in liaising with industry and the business sector worldwide. English and/or Chinese are used in teaching and administration.


·······················--·--

Applications are invited for: Senior Lectureship/Lectureship In the De

partment of Mathematics The Department of Mathematics is seeking

an outstanding candidate for a teaching position at the Department. Depending on qualifications and experience, this position may be filled at the rank of Lecturer or Senior Lecturer. Candidates who specialize in applied mathematics and, in particular, numerical analysis, are encouraged to apply. Duties include teaching and research, and candidates are expected to demonstrate excellence at both areas.

Annual Salary and Fringe Benefits Senior Lecturer: HK$586,080- 787,320 by a

increments. Lecturer: HK$377,220-630,180by 10 increments (approx. exchange rate in October 1993: US$1 = HK$7.8). Starting salary and grade will be commensurate with qualifications and experience.

Benefits for superannuable appointment include leave wih full pay, medical and dental care, education allowances for children, housing benefit for eligible appointee with an annual salary at HK$402,480 (with appointee contributing 7.5% of salary towards such provision) and superannuation scheme (University 15%, appointee 5%). Appointment made on fixed term contract will carry equivalent benefits including a contract-end gratuity (15% of basic salary) in lieu of the superannuable scheme, where applicable. The University may also consider more flexible terms for suitable candidates subject to mutual agreement.

Application Procedure Send full resume in duplicate and names

and addresses of 3 referees, with copies of academic credentials (in duplicate) and recent publications, to the Personnel Office, The Chi· nese University of Hong Kong, Shatin, N.T., Hong Kong (Fax: 852-603-5026) before January 15, 1994. Please quote the reference no. 95/509/2/93 and mark "Recruitment" on cover.

ITALY

INTERNATIONAL SCHOOL FOR ADVANCED STUDIES SISSAIISAS Trieste

Postdoctoral Positions

The International School for Advanced Studies (SISSA/ISAS) in Trieste expects to offer a number of postdoctoral positions in the following fields:

Biophysics, Nonlinear Analysis and Geometry, Mathematical Physics, Theory of Condensed Matter, Theoretical Astrophysics and Cosmol· ogy.

These positions will be available from the Fall of 1994 for one year and renewable for a second year. Candidates, who must not be over 36 years of age, should submit their applications by 17 January 1994 with their curriculum vitae, list of published works, and their research programme. They should arrange for 2 letters of reference to be sent by the same date.

Applications and correspondence should be sent to:

Postdoc Programme

International School for Advanced Studies

Via Beirut 2-4 34013 Trieste Italy

KOREA

POHANG UNIVERSITY OF SCIENCE AND TECHNOLOGY(POSTECH) Department of Mathematics

We invite applications for positions starting Fall 1994. Preference will be given to statistics (reliability, survival analysis preferred), numerical analysis (numerical pde or ode) and applied mathematics. Outstanding candidates in any field of pure mathematics are also invited.

POSTECH is a small research oriented university with enrollment of about 1200 undergraduate and 800 graduate students. Math department has currently 19 faculty members including two visiting professors, which will eventually be strengthened to 25. Our main research interest includes nonlinear pde, differential geometry, numerical analysis, nonlinear dynamical system, fluid dynamics and computer vision. Regular positions require two journal papers, one year postdoctoral experience and commitment to excellent research and good teaching. Send a resume and a description of planned research and arrange to have three letters of recommendation directly sent to Professor Kyung Whan Kwun, Chairman, Department of Mathematics, POSTECH, P. 0. Box 125, Pohang 790-600, Korea. Closing date January 31, 1994, or until positions are filled; phone: 82-562-279-0256; fax: 82-562-279-2799.

LEBANON

AMERICAN UNIVERSITY Teaching Overseas

The Department of Mathematics at the American University of Beirut in Beirut, Lebanon (AUB), invites applications for faculty positions in the fields of Computer Science, Analysis, Topology, and Probability Theory starting October 1, 1994. Rank will normally be assistant professor; usual contract is for three years. The Department offers both bachelor's and master's degrees. Successful candidates will be expected to engage in research and to supervise student research and thesis writing. The language of instruction is English.

Applicants should hold the Ph.D. degree in Computer Science or Mathematics, with postdoctoral teaching and/or research experience preferred, and are expected to teach both undergraduate and graduate courses in the Department.

Interested candidates should send a letter of application (with a copy to the Director of Personnel, c/o AUB NY Office) and a C.V., and should arrange for three letters of reference to be

.. ··m Classified Advertisements

sent before January 31, 1994, to: Dean, Faculty of Arts and Sciences, American University of Beirut, c/o AUB New York Office, 850 Third Avenue, 18th Floor, New York, New York 10022-6297, USA. Incomplete and/or late applications will not be considered.

AUB is an Equal Opportunity/Affirmative Action Employer.

U.S. passports are presently invalid for travel to, in, or through Lebanon, and for residence in Lebanon, by order of the Department of State, and therefore applications from individuals who would travel to or reside in Lebanon on a U.S. passport cannot at this time be considered.

MEXICO

CENTRO DE INVESTIGACI6N Y DE ESTUDIOS AVANZADOS DEL lPN

Solomon Lefschetz Research Instructorships

1994-1995

The CINVESTAV-IPN Mathematics Department offers the Solomon Lefschetz Research Instructorships to young mathematicians with doctorates who show definite promise in research. Appointments are for one year. The salary is equivalent to that of an Assistant Professor in the Mathematics Department. An allowance for moving expenses is provided. Teaching duties generally include one course per semester. Knowledge of Spanish is desirable. Deadline for applications is February 28, 1994. To apply, send curriculum vitae with outline of proposed research plan and arrange for at least three letters of reference to be sent to:

Solomon Lefschetz Instructorship Mathematics Department CINVESTAV-IPN Apartado Posta114-740 07000 Mexico, D. F., Mexico Phone: (52-5) 754-4466 Fax: (52-5) 752-6412

SOUTH AMERICA

UNIVERSIDAD NACIONAL DE COLOMBIA Colombia - South America

At least three tenure-track positions in mathematics will be available for August 1994 in the Mathematics Department. The department has recently approved the doctoral program in mathematics in the areas of analysis, topology, algebra, and mathematical logic. Candidates must have Ph.D., potential and/or accomplishments in research and are expected to eventually support the doctoral program. Duties include teaching of two courses per academic semester at undergraduate or graduate level. Rank and salary depend upon qualifications and previous experience but will be at least US $15,000 per year, after taxes, at the rank of Assistant Profes-


sor. There are salary increases for publications and M.Sc. or Ph.D. thesis supervision. Please take into account that US $1,000 in Columbia have a buying power equivalent to at least US $2,500 in the United States. The university provides comprehensive health coverage for professors and his/her families at low rates.

Deadline for applications is May 15, 1994, but candidates are encouragd to apply as early as possible. Send applications, resume, official transcripts, and two letters of recommendation to:

Departamento de Matematicas Posgrado de Matematicas Universidad Nacional de Colombia Bogota, Colombia

Additional inquiries may be sent via e-mail to: DC42919Cilunalco. bitnet.

MAIL ORDER

Technical & Scientific Books. • Immediate shipment worldwide • Overnight Fedex or UPS available • Expert service • Fast delivery on Special Orders • VISA/MASTERCARD accepted. 5% Academic discount on all orders 10% Discount on minimum order of $150. Call: toll-free 1-800.621-1220, N. York State 212-206-1310, Fax 212-675-4230, Mon-Sat: 1 Oam-6pm • Sunday: 11 am-5pm EST. Book Scientific, 18 E. 16th St., New York, NY 10003

PUBLICATIONS FOR SALE

Interval Computations. An international refereed journal on reliable numerical computations. In English (at least 80%) and Russian. Various schools are widely represented. 4 issues/$48 (libraries $88)/year w. delivery. Call Dr. R. B. Kearfott (318-231-5270, fax 318-231-5346, or e-mail to rbk@usl. edu for details.

MATH SCI PRESS, 53 Jordan Rd., Brookline, MA 02146; 617-738-0307. Lie-CartanEhresmann Theory; Constrained Mechanics and Lie Theory; Geometric Structures In Nonlinear Physics, by R. Hermann, $95 each.

PUBLICATIONS WANTED

Wanted: Mathematical books, journals, reprints, ephemera. Contact R. K. Dennis, Math. Dept., White Hall, Cornell U., Ithaca, NY 14853-7901. Tel: 607-255-4027, FAX: 607-255-7149. e-mail:

[email protected]

1483

ElMS subscribers: New Information for 1993-1994!

Are you looking for a job? Do you have an open position to fill?

Employment Information in the Mathematical Sciences The best source for information about open positions for mathematicians is ElMS, published five times per year. Institutions and individuals throughout the world subscribe to ElMS. A one-year subscription offers information on hundreds of open positions for mathematicians with education and experience at levels beyond the bachelor's degree. Graduate students, as well as experienced professionals, rely on ElMS as an essential job-search tool.

EMPLOYERS: ElMS gives you access to a wide pool of qualified applicants for your open positions. Listing in ElMS is easy. Your listing can run in one issue or in as many issues as you choose. To list your open positions in ElMS or to get rate and deadline information, call Mike Saitas at 1-800-321-4AMS (321-4267), ext. 4190 (in the United States and Canada), or 1-401-455-4190 (worldwide). You can submit by fax (1-401-331-3842), by e-mail on the Internet (eims-info@

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JOB SEEKERS: To subscribe, please return the attached order card with payment. As a bonus to your subscription, you will receive three flyers during the summer describing late-breaking opportunities. ElMS is published five times a year; the 1994 subscription year will run from October 1993 to March 1994. You will receive all issues regardless of when you subscribe. Subscriptions in North America are sent first class; all others are sent air mail.

Electronic bonus! All job announcements in ElMS are also listed automatically on e-MA TH, the AMS electronic resource, at no extra charge. To access e-MATH, type telnet e-math.ams.org or telnet 130. 44.1.1 00. Login and password are both e-math (lower case).

Subscribing is easy. Call1-800-321-4AMS (4267); 1-401-455-4082, worldwide.

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Pure and Applied Mathematics: A Series of Monographs and TextiHHIIcs •••

Textbooks:

Elementary Boundary Value Problems Theodore A. lick, Union College, Schenectady, New York 1993 264 pp., illus. ISBN: D-8247-8899-0 $49.75

Complex Variables An Introduction Watson Fulks, University of Colorado, Boulder 1993 416 pp., illus ISBN: D-8247-9079-0 $49.75 (Includes a Solutions Manual tor instructors.)

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Fundamentals of PaHern Recognition Second Edition, Revised and Expanded Monlque Pavel, University of Paris II, France 1993 272 pp., lllus. ISBN: 0-8247-8883-4 $99.75

Noncommutative Distributions Unitary Representation of Gauge Groups and Algebras Sergio Albavarlo, Ruhr University, Bochum, Germany, Raphael J, Htegh·Krobn, University of Oslo, Norway, Jean A. Marlon and Daniel H. Testanl, Aix-Marseille II University, Marseille, France, and CNRS Center tor Theoretical Physics, Marseille, France, and Bruno Torresanl, CNRS Center tor Theoretical Physics, Marseille, France 1993 208 pp., illus. ISBN: D-8247-9131-2 $99.75

Conditional Measures and Applications M. M. Rao, University of California, Riverside 1993 440 pp., illus. ISBN: D-8247-8884-2 $135.00*

Simulation and Chaotic ~ Behavior of a-Stable Stochastic Processes Aleksander Janicki and Aleksander Weron, Technical University of Wrocfaw, Poland 1994 376 pp., illus. ISBN: D-8247-8882-6 $125.00*

~·· IJICIIIre Notes In Pure and Applied Mathematics Series •••

Geometric Analysis and Nonlinear Partial Differential Equations edited byllya J, Bakelman, Texas A&M University, College Station

1993 328 pp., illus. ISBN: D-8247-8897-4 $125.00

Einstein Metrics and Yang-Mills Connections edited byToshlkl Mabuchi, Osaka University, Japan, and Shigeru Mukai, Nagoya University, Japan

1993 240 pp., illus. ISBN: 0-8247-9069-3 $99.75

Abelian Groups edited by Laszlo Fuchs, Tulane University, New Orleans, Louisiana, and Rudiger Gibel, University of Essen, Germany

1993 280 pp., illus. ISBN: 0-8247-8901-6 $99.75

Number Theory with an Emphasis on the Markoff Spectrum edited by Andrew D. Polllngton, Brigham Young University, Provo, Utah, and William Moran Flinders, University of South Australia, Adelaide 1993 336 pp., illus ISBN: 0-8247-8902-4 $125.00

Differential Equations in Banach Spaces edited by Giovanni Dora, Angelo Favinl, Enrico Obrecht, and Alberto Vanni, University of Bologna, Italy

1993 288 pp., illus. ISBN: D-8247-9067-7 $115.00

Continuum Theory and Dynamical Systems edited by Thelma West, University of Southwestern Louisiana, Lafayette 1993 312 pp., illus. ISBN: 0-8247-9072-3 $115.00

• Functional Analysis ~ edited by Klaus D. Blerstedt, University of Paderborn, Germany, Albrecht Pietsch, Friedrich Schiller University of Jena, Germany, Wolfgang M. Ruess, University of Essen, Germany, and Dietmar Vogt, University of Wuppertal, Germany 1994 552 pp., illus. ISBN: D-8247-9066-9 $150.00

Computational Algebra ~ edited by Klaus G. Fischer, Philippe Loustaunau, and Jay Shapiro, George Mason University, Fairfax, Virginia, and Edward L. Green and Daniel Farkas, Virginia Polytechnic and State University, Blacksburg 1994 272 pp., illus. ISBN: 0-8247-9078-7 $125.00

Differential Equations, ~ Dynamical Systems, and Control Science edited by K. D. Elworthy, University of Warwick, Coventry, United Kingdom, W. Norrie Everitt, University of Birmingham, United Kingdom, and E. Bruce Lee, University of Minnesota, Minneapolis 1994 992 pp., illus. ISBN: 0-8247-8904-0 $195.00

Commutative Ring lheory ~ edited by Paul-Jean Gahan, Universite d-Aix-Marseille Ill, Marseille, France, Douglas L. Costa, University of Virginia, Charlottesville, Marco Fontana, Terza Universita degli Studi di Roma, Rome, Italy, and Salah-Eddlne Kabbaj, Universite S. M. Ben Abdellah, Fes, Morocco 1994 280 pp., illus. ISBN: 0-8247-917D-3 $125.00

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ELEMENTARY LINEAR ALGEBRA, Seventh Edition Howard Anton, Drexel University 58742-7, cloth, 1994

ELEMENTARY LINEAR ALGEBRA APPLICATIONS VERSION, Seventh Edition Howard Anton, Drexel University Chris Rorres, Drexel University 587 41-9, cloth, 1994 This substantial revision has been reorganized to make it easier for instructors to cover at least the fundamentals of all major topics, the transition to abstraction has been improved, and new technology has been incorporated throughout its ancillary package.

LINEAR ALGEBRA WITH DERIVE Benny Evans, Oklahoma State University Jerry Johnson, University of Nevada at Reno 59194-7, paper, 1994

MULTIVARIABLE CALCULUS WITH MAPLE V, Preliminary Edition C. K. Chueng, Boston College John Harer, Duke University 59835-6, paper, 1994 This hands-on guide helps students gain deeper insights and provides a problem-solving context using the Maple V software.

MAPLE COMPUTER MANUAL [TO ACCOMPANY ADVANCED ENGINEERING MATHEMATICS], Seventh Edition Erwin Kreyszig, Ohio State University Edward Norminton, Carelton University 31126-X, paper, 1994 No prior knowledge of MAPLE is assumed and students with any version of MAPLE can use it with ease.

3,000 pages of calculus you can fit in your pocket! CD CALCULUS A CD-ROM disk containing the entire text of Calculus With Analytic Geometry, Fourth Edition by Howard Anton, plus the Student Solutions Manual by Albert Herr, Drexel University; The Calculus Companion by William H. Barker and James E. Ward, both of Bowdoin College; Audio lectures from Howard Anton; and an interconnecting network of hyper/inks that allows users to access related information in a nonlinear fashion.

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ADVANCED CALCULUS WITH APPLICATIONS IN STATISTICS Andre Khuri, University of Florida, Gainesville Here is the first advanced calculus book specifically designed to raise statisticians' mathematical sophistication to the levels required by today's statistical methodologies. 1993. 448 pp.• 1-53459-5. $49.95

Available for course adoption ... INTRODUCTION TO NONLINEAR PARTIAL DIFFERENTIAL EQUATIONS J. David Logan, University of Nebraska, Lincoln Provides an ideal elementary introduction to nonlinear partial differential equations and is full of examples and exercises, this book focuses on hyperbolic and parabolic problems and emphasizes the interdependence of mathematics and the pure and applied sciences. March 1994 • 320 pp. (est) • 1-53316-6 • $59.95 (est)

FUNDAMENTAL STRUCTURES OF ALGEBRA AND DISCRETE MATHEMATICS Stephan Foldes, McGill University, Canada Here is an introduction to critical thinking about classical and contemporary algebra, which outlines the basic theory of twelve structural concepts. In this book, classical algebra is presented in the spirit of discrete mathematics. February 1994 • 336 pp.(est) • 1-57180-6 • $64.95 (est)

STATISTICAL APPLICATIONS USING FUZZY SETS Kenneth G. Manton and Max A. Woodbury, Duke University, Durham, NC and H.D. Tolley, Brigham Young University, Provo, Utah Interest has now emerged in the use of the concept of the "fuzzy" set in statistical decision making, especially in electrical engineering and artificial intelligence. This book addresses the mathematical and statistical formulation of fuzzy partition models appropriate to different observational models. March 1994 • 320 pp. (est) • 1-54561-9 • $59.95 (est)

LIE ALGEBRAS WITH TRIANGULAR DECOMPOSITIONS Robert V. Moody and Arturo Pianzola, University of Alberta, Edmonton, Canada Presenting the first comprehensive exposition of Kac-Moody algebra written by one of its co-founders, it covers topics such as lattice and root systems, Kac-Moody algebra, the Weyl group and conjugacy theorems. February 1994 • 624 pp. (est) • 1-63304-6 • $79.95 (est)

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Pitman Research Notes in Mathematics Series, Volume 297 NONSTANDARD METHODS IN THE CALCULUS OF VARIATIONS Curtis Tuckey, AT&T Bell Laboratories, Naperville, Illinois The author argues that both Euler's and Young's systematic accounts of the calculus of variations have the same scientific content. January 1994 • 112 pp (est) • 0-23360-5 • $41.95 (est) paper A Longman Scientific and Technical Publication

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If you're a member of the AMS. the 25% discount that you enjoy on Kluwer books at the annual meeting is also valid on Kluwer titles throughout the year. And not just on Mathematics titles- all Kluwer books. Kluwer Academic Publishers offers a 25% discount to all individual members of the American Mathematical Society. To qualify for this discount. the order must be prepaid. sent directly to Kluwer. and be for personal use only. You must include the following signed statement with each order-- 'I am an individual member of the AMS. this purchase is for my own personal use.'

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• P R INC ET 0 N • UN IV E R 5 ITY • PRE 55 •

THE NATURE AND POWER OF MATHEMATICS

Donald M. Davis In this engaging book, Donald Davis explains some of the most

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HARMONIC ANALYSIS Real-Variable Methods, Orthogonality,

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Elias M. Stein Elllas Stein presents an exposition of some of the main develop·

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COMMENSURABILITIES AMONG LATIICES IN PU(1 ,N)

Pierre Deligne and G. Daniel Mostow The first part of this monograph is devoted to a characterization

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ELLIPTIC CURVES Anthony W. Knapp

Developing, with many examples, the elementary theory of ellip· tic curves, Anthony Knapp explores the subject of modular forms and the first connections with elliptic curves. No other book treats the basic theory of elliptic curves with only undergraduate mathematics, and no other explains Eichler·Shimura theory in such an accessible manner. Mathematical Notes, 40 Paper: $29.951SBN 0·691·08559·5

INTRODUCTION TO TORIC VARIETIES

William Fulton Toric varieties are algebraic varieties arising from elementary

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HARMONIC MAPS AND MINIMAL IMMERSIONS

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James Eells and Andrea Ratto The aim of this book is to study harmonic maps, minimal and

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LECTURES ON HERMITE AND LAGUERRE EXPANSIONS

Sundaram Thangavelu This monograph deals with the case of the Heisenberg group

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THE STATISTICAL MECHANICS OF LATIICE GASES

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Barry Simon A state-of-the-art survey of both classical and quantum lattice

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AN INTRODUCTION TO DIFFERENTIAL EQUATIONS Stanley j. Farlow, University of Maine

FINITE MATHEMATICS WITH COMPUTERSUPPORTED APPLICATIONS james Calvert and William Voxman Both of University of Idaho

ENGINEERING MATHEMATICS WITH MATHEMATICA John S. Robertson, U.S. Military Academy

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CALCULATOR ENHANCEMENT FOR BEGINNING ALGEBRA

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ELEMENTARY ALGEBRA: Structure and Use, Sixth Edition

INTERMEDIATE ALGEBRA: Structure and Use, Fifth Edition Both by Raymond Barnett, Merritt College and Thomas Kearns, Northern Kentucky University

A MATHEMATICAL JOURNEY, Second Edition Stanley Gudder, University of Denver

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Fundamentals of College Mathematics

Introduction to Algebra Intermediate Algebra Sandra Clarkson and Barbara Barone Both of Hunter College, City University of New York All texts paperback • Complete support packages Just published (© 1994}

Pre algebra Richard N. Aufmann, Palomar College Vernon C. Barker, Palomar College Joanne Lockwood, Plymouth State College 672 pages • Paperback • Complete support package Just published (© 1994}

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This journal is published in cooperation with the International Federation of Nonlinear Analysts (IFNA). Nonlinear World welcomes all experimental, computational, and/or theoretical advances in nonlinear phenomena, in any discipline -- especially those that further our ability to analyze and solve the nonlinear problems that confront our real world.

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Recent Advances in Wavelet Analysis Edited by Larry L. Schumaker and Glenn Webb A Volume in the WAVELET ANALYSIS AND ITS APPLICATIONS Series

This collection of ten timely and important articles is authored by various experts in their respective fields, including such renowned contributors as David L. Donoho, Ingrid Daubechies, Phillippe Tchamitchian, Patrick Flandrin, Charles Chui, and Bjorn Jawerth. The volume offers incisive coverage of recent advances in wavelet analysis and applications. Anyone interested in the ever-evolving field of wavelets will find this book an excellent addition to the literature. October 1993, 384 pp., $59.95/ISBN: 0-12-632370-4

Topics in Geometry Robert Bix Topics in Geometry presents an accessible, self-contained survey of topics in Euclidean and non-Euclidean geometry. Topics covered include advanced Euclidean and non-Euclidean geometry, division ratios and triangles, transformation geometry, projective geometry, conic sections, and hyperbolic and absolute geometry. The text contains over 800 illustrations and extensively worked-out exercises. October 1993,538 pp., $59.95/ISBN: 0-12-102740-6

Algebraic Groups and Number Theory Vladimir Platonov and Andrei Rapinchuk A Volume in the PURE AND APPLIED MATHEMATICS Series

This milestone work on the arithmetic theory of linear algebraic groups is now available in English for the first time. The book provides the first systematic exposition in mathematical literature of the junction of group theory, algebraic geometry, and number theory. The exposition of the topic is built on a synthesis of methods from algebraic geometry, number theory, analysis, and topology, and the result is a systematic overview of almost all of the major results of the arithmetic theory of algebraic groups obtained to date. October 1993, 632 pp., $99.95/ISBN: 0-12-558180-7

Treatise on Analysis Volume VIII jean Dieudonne Translated by Laura Fainsilber A Volume in the PURE AND APPLIED MATHEMATICS Series

This volume, the eighth out of nine, continues the translation of the founding Treatise on Analysis by the famous French author and mathematician, Jean Dieudonne. It is a continuation of a thorough treatment of linear functional equations and pseudodifferential operators, a central topic in all applications of mathematics to physical science. June 1993,364 pp., $110.00/ISBN: 0-12-215508-4

THE WAVE OF THE FUTURE

Applied and Computational

Harmonic Analysis Time-Frequency and Time-Scale Analysis,

Wavelets, Numerical Algorithms, and Applications Editors-in-Chief

Charles K. Chui Texas A & M University, College Station

Ronald R. Coifman Yale University, New Haven, Connecticut

Ingrid Daubechies AT & T Bell Laboratories, Murray Hill, New Jersey

Applied and Computational Harmonic Analysis, an interdisciplinary journal, publishes high-quality papers in all areas related to the applied and computational aspects of harmonic analysis, with special emphasis on wavelet analysis and signal processing. The objectives of this journal are to chronicle the important publications in the rapidly growing field of wavelet analysis and to stimulate research in the area. Wavelets are considered in their broadest sense, covering topics in related areas such as:

• Decomposition and reconstruction algorithms • Subdivision algorithms • Continuous and discrete wavelet transform • Time-frequency localization • Phase-space analysis • Subband coding • Image compression • Real-time filtering • Radar and sonar applications • Transient analysis • Medical imaging • Multigrid methods • Frames

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Editorial Board

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Zhe-Xian Wan Academia Sinica People's Republic of China

Jacques Wolfmann Universite de Toulon, France

Finite Fields and Their Applications is a peerreviewed technical journal publishing papers in finite field theory as well as in applications of finite fields. As a result of applications in a wide variety of areas, finite fields are increasingly important in several areas of mathematics, including linear and abstract algebra, number theory and algebraic geometry, as well as in computer science, statistics, information theory, and engineering.

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Northwestern University announces the establishment of a series of prizes for distinguished achievement in the arts and sciences. Northwestern anticipates conferring the awards, which are made possible by generous gifts from the late Erwin Esser Nemmers and the late Frederic Esser Nemmers, every other year, with specific fields designated for each cycle of awards.

Nominations are now invited for the Frederic Esser Nemmers Prize in Mathematics, which includes a $100,000 payment to the recipient, to be awarded during the 1994-95 academic year.

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New Mathematics Titles biJ Hirotaka Fujimoto Value Distribution Theory of the Gauss Map of Minimal Surfaces In Rm 1993. xvi, 207 pp. (Aspects of Mathematics, Vol. E21; ed. by Klas Diederich) Hardcover OM 64,-/ $46 ISBN 3-528-06467-6

Presents in a systematic and almost self-contained way the striking analogy between classical function theory, in particular the value distribution theory of holomorphic curves in projective space, on the one hand, and important and beautiful properties of the Gauss map of minimal surfaces on the other hand. Both theories are developed in the text, including many resuhs of recent research. The relations and analogies between them become completely clear. The book is written for interested graduate students and mathematicians, who want to become more familiar with this modem development in the two classical areas of mathematics, but also for those, who intend to do further research on minimal surfaces.

D. V. Anosov and A. A. Bolibruch The Riemann-Hilbert Problem A Publication of the Steklov Institute of Mathematics. Adviser: Arman Sergeev. 1994. Approx. 230 pp. (Aspects of Mathematics, Vol. E22; ed. by Klas Diederich) Softcover approx. OM 64,-/ approx. $46 ISBN 3-528-06496-X

The Riemann-Hilbert problem (Hilbert's 21st problem) belongs to the theory of linear systems of ordinary differential equations in the complex domain. The problem concerns the existence of a Fuchsian system with prescribed singularities and monodromy. Hilbert was convinced that such a system always exists. However, this turned out to be a rare case of a wrong forecast made by him. In 1989 the second author (A. B.) discovered a counterexample, thus obtaining a negative solution to Hilbert's 21st problem in its original form.

A. P. Fordy and J. C. Wood (Eds.) Harmonic Maps and Integrable Systems 1993. Approx. 400 pp. (Aspects of Mathematics, Vol. E23; ed. by Klas Diederich) Hardcover approx. OM 89,-/ approx. $ 64 ISBN 3-528-06554-Q

Harmonic maps are maps between Riemannian or pseudo-Riemannian manifolds which extremise a natural energy integral. They have found many applications, for example, to the theory of minimal and constant mean curvature surface. In Physics they arise as the non-linear sigma and chiral models of particle physics. Recently, there has been an explosion of interest in applying the methods to integrable systems to find and study harmonic maps. This book brings together experts in the field to give a coherent account of this subject. The editors are experts in the fields of integrable systems and harmonic maps, respectively, and the book starts with introductory articles so that the book is self-contained. It will be useful to graduate students and researchers interested in applying integrable systems to variational problems, and could form the basis of a graduate course.

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Daniel S. Alexander A History of Complex Dynamics From SchrOder to Fatou and Julia 1994. x, 165 pp. (Aspects of Mathematics, Vol. E 24; ed. by Klas Diederich) Softcover approx. OM 64,-/ approx. $ 46 ISBN 3-528-06520-6

The contemporary study of complex dynamics is based largely upon works byJulia(1918)and P. Fatou (1919/20). Theauthoranalyzesthese works from an historical perspective and shows that they grew out of a corpus regarding the iteration of complex analytic functions which dates back to the work of E. SchrOder (1870/71 ).

Jesus M. Ruiz The Basic Theory of Power Series 1993. x, 134 pp. (Advanced Lectures in Mathematics; ed. by Martin Aigner/ Gerd Fischer/ Michael GrOter/ Manfred Knebuschl Gisbert WOstholz) Softcover OM 36,-/ $ 27 · ISBN 3-528-06525-7

Power series techniques are indispensable in many branches of mathematics, in particular in complex and in real analytic geometry, in commutative algebra, in algebraic geometry, in real algebraic geometry. Covers in a comprehensive way and at an elementary level essentially all the theorems and techniques which are commonly used and needed in any of these branches. In particular it presents Ruckert's complex nullstellensatz, Risler's real nullstellensatz, Tougerons • s implicit function theorem, and Artin 's approximation theorem, to name a few. Up to now a student of any of the subjects mentioned above usually had to learn about power series within the framework of the vast theory of the subject. The present book opens another path: One gets acquaintance with power series in a direct and elementary way, and then disposes of a good box of tools and examples to penetrate any of the subjects mentioned above, and also some others.

Charles W. Groetsch Inverse Problems In the Mathematical Sciences 1993. vi, 152 pp. with 38 illustrations. Hardcover OM 42,-/ $ 30 ISBN 3-528-06545-1

Inverse problems are immensely important in modem science and technology. However, the broad mathematical issues raised by inverse problems receive scant attention in the university curriculum. This book aims to remedy this state of affairs by supplying an accessible introduction, at a modest mathematical level, to the alluring field of inverse problems. Many models of inverse problems from science and engineering are dealt with and nearly a hundred exercises, of varying difficuhy, involving mathematical analysis, numerical treatment, or modelling of inverse problems, are provided. The main themes are: causation problem modeled as integral equations; model identification problems, posed as coefficient determination problems in differential equations; the functional analytic framework for inverse problems; and a survey of the principal numerical methods for inverse problems. An extensive annotated bibliography furnishes leads on the history of inverse problems and a guide to the frontiers of current research.

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Introduction to the Calculus of Variations and Its Applications Frederic Y. M. Wan

This text is suitable for advanced undergraduate and beginning graduate majors in mathematics, applied mathematics, and engineering. The book begins with a discussion of examples with a scalar function of only one independent variable. It then extends the theory and techniques developed to more known and unknown variables, devoting six chapters to applications in analytical and continuum mechanics.

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Numerical Solution of Ordinary Differential Equations Lawrence F. Shampine

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Probability for Analysts Karl R. Stromberg

This text will enable researchers and students of analysis to more easily understand research papers in which probabilistic methods are used to prove theorems of analysis, many of which have no other known proofs. The book assumes a course in measure and integration theory but requires little or no background in probability theory. It emphasizes topics of interest to analysts, including random series, martingales, and Brownian motion.


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MULTIDIMENSIONA~ ~ DETERMINANTS, __j -SPECIAL'/ DISCRIMINANTS 5> Pre-Pub Price: ~, AND RESULTANTS L_, $49.oo· ~ I.M. Gelfand, Rutgers University, NJ, ~r----M.M. Kapranov, Northwestern University. IL & A.V. Zelevinsky, Northeastern University, MA

The srudv of discriminants and resultants was the focus of many ~emarkable mathematicians in the 19th and early 20th cemuries: Cayley. Sylvester. Brill, Macaulay. among nthers. Amazingly, in an 1848 note by Cayley on the result.Hll. the foundations of modern homological algebra were developed, only to be forgotten for almost a cemury. More recelll interest in discriminants and resultants is motivated by their applications to the study of singularities, real algebrdic geometry. and computational algebra.

This hook presents a systematic smdy of discriminants and resultants in the general context of projective algebraic geometry. Cayley's classical method is investigated using such tools as coherent sheaves. perverse sheaves. microlocal geometry. and D-modules. The authors also present their original results relating discriminants and resultallls with general hypergeometric functions and discrete geometry. In fact. this volume may be considl·n~d as a first step in constructing a general theory of hrprr geometric functions.

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INTEGRABLE SYSTEMS THE VERDIER MEMORIAL CONFERENCE: ACTES DU COLLOQUE INTERNATIONAL DE LUMINY

0. Babelon, Universitr Paris VI: P. Cartier, Ecole \onnale Superieure de Paris & Y. KosmannSchwarzbach, Ecole Polvtechnique t Eds.1

This book contains fifteen articles by the most eminent specialists in the theory of completely integrable systems. bringing together the diverse approaches 10 classical and quantum integrable systems and covering the principal ,·urrent research developments. Contributors include: ll. Bennequin, A. Treibich, B. van Geeman. E. Previato, '>.N. Ercolani. H. Kniirrer. E. Trubowitz. L.A. Takhrajan. G. Wilson, L.A. Dickey. P. van Moerbeke, N.l\1. Ercolani. H. Flaschka. S. Singer. V. Guillemin, A.T. Fomenko, P.J. Olver, P. Casali, F. Magri. M. Pedroni. E. Date, ,\\. Bellon, J.-M. Maillard. C. Viallet & B. Dubrovin

1'194 APPROX. 382 PP .. 311LLUS. HARDCtl\"ER S~Hlll iTENT.l ISH~ 0·8 I 76- 36il·6 PROGRESS I~ MATHE.\! A TICS. I'OLU,\1E II'

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GENERALIZED VERTEX ALGEBRAS AND RELATIVE VERTEX OPERATORS C. Dong, University of California. Santa Cruz & J. Lepowsky, Rutgers University. NJ

The rapidly-evolving theory of vertex operator algebras provides deep insight into many important algebraic structures. Vertex operator algebras can be viewed as "complex analogues" of both Lie algebras and associative algebras. They are mathematically precise counterparts of what are known in physics as chiral algebras, and in particular. they are intimately related to string theory and conformal field theory. The authors have generalized the theory of vertex operator algebras in a systematic way at three successively more general levels all of which incorporate one-dimensional braid group representations intrinsically into the algebraic structure. This monograph is wrinen in an accessible and self-contained manner. with detailed proofs and many examples interwoven through the axiomatic treatment as motivation and applications. It will be usetul lor research mathematicians and theoretical physicists working in such fields as representation theory and algebraic structures and will provide the basis lor a number of graduate courses and seminars on these and related topics.

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THE COLLECTED PAPERS OF RAOUL BOTT VOLUME 1: TOPOLOGY IN LIE GROUPS

R.D. MacPherson, MIT. Cambridgc. MA !Ed. I

The Jour \"Olumes ol the wlleded papers of Raoul Boll attest to till' l'xtraonlinarv hrl·adth of contributions to mathematics made h\ rhb world-renowned mathematician from Harvard. His work is especially significant in that it has brought topology to bear on so many different fields - Lie groups. differential geometry. foliations, analysis ol partial dilkrentialequations. and mathemat· ical physics. Each time he courageously embarked upon a new field, he left it significantlv changed and deepened. Forthcoming volumes include: Volume 2: Differential Operawrs ('!he 1960's); Volume): Foliations !the 1970's!: Volume 4: Mathcmarirs rdated to Physics (the 1980's).

In addition 10 his collected works. the author has written some" Amobiographical Fragmt'nts", rdleding his personal charm. his forceful spirit, and his buovant enthusiasm tor life and for mathematics.

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INTRODUCTION TO QUANTUM GROUPS G. Lusztig, MIT, Cambridge, MA

The quantum groups discussed in this book are the quantized enveloping algebras introduced by Drinleld and Jimbo in 1985. or variations thereof. In this volume quantum groups are regarded purely as a new development in Lie Theory. Divided into six parts, the topics covered include: The Drinfeld-Jimbo Algebra U • Geometric Realization off • Kashiwara's Operators and Applications • Canonical Basis of U • Change of Rings • Braid Group Action. Pans of this volume may easilv he used as a one semester graduate course.

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Program Announcement

Operator Algebras and Applications September 1994 to August 1995

In 1994-1995 The Fields Institute for Research in Mathematical Sciences will be sponsoring an emphasis year on operator algebras and their interrelations with other fields of mathematics. The organizing committee for the program consists of George Elliott, Chairman (Toronto and Copenhagen), Man-Duen Choi (Toronto), Alain Cannes (College of France), Kenneth Davidson (Waterloo), Peter Fillmore (Dalhousie), David Handelman (Ottawa), Nigel Higson (Pennsylvania State), Vaughan Jones (Berkeley), lan Putnam (Victoria), and Dan Voiculescu (Berkeley).

In addition to regular meetings of seminars and graduate courses, the following workshops are planned (dates tentative): The Baum-Connes Conjectures (Nigel Higson, September 14-18, 1994); Dynamical Systems and C*-Aigebras (David Handelman and lan Putnam, October 26-30, 1994); The Classification of Amenable C*-Aigebras (George Elliott and Mikael R0rdam, December 7-11, 1994); Operator Algebra Free Products and Random Matrices (Dan Voiculescu, March 8-12, 1995); Subfactors and their Applications (Sorin Popa, Antony Wassermann and Hans Wenzl, March 29-April2, 1995); Low Dimensional Topology, Statistical Mechanics and Quantum Field Theory (David Evans, Vaughan Jones, Louis Kauffman and Werner Nahm, April 26-30, 1995); Quantum Groups and their Connection with Quantized Functional Analysis (Zhong-Jin Ruan, in honour of Edward Effros, June 24-28, 1995).

The 23rd Canadian Annual Symposium on Operator Algebras will be held at the Fields Institute, May 24-28, 1995. (The Symposium organizers are Nigel Higson, John Holbrook, and lan Putnam.)

For further information, please contact: Sandra Valeriote, Executive Assistant The Fields Institute 185 Columbia Street West Waterloo, Ontario, Canada N2L 5Z5 e-mail: [email protected] Phone: 519-725-0096, fax: 519-725-0704

Call for Applications

Operator Algebras and Applications September 1994 to August 1995

The Fields Institute for Research in Mathematical Sciences invites applications for Institute junior Fellowships for the 1994-1995 Operator Algebras and Applications program year. These fellowships will be tenable for two years, the first year at the Fields Institute and the second at a Canadian university. Candidates should possess a Ph.D. degree in mathematical sciences and have a strong research record. Partial support may also be available for a limited number of additional participants and graduate students working in the program area.

Applications, including curriculum vitae (with your e-mail address) and three letters of reference (sent directly to the Fields Institute), should be sent by February 15, 1994, to: Dr. J. E. Marsden, Director

The Fields Institute for Research in Mathematical Sciences 185 Columbia Street West Waterloo, Ontario, Canada N2L 5Z5

The Fields Institute is a collaboration involving McMaster University, the University of Toronto, the University of Waterloo, and affiliate universities across Canada. It is supported by the Ontario Ministry of Education and Training and the Natural Sciences and Engineering Research Council of Canada.

New publications from Gordon and Breach ...

FRACTIONAL INTEGRALS AND DERIVATIVES Theory and Applications

S.G. Samko Department of Mathematics Rostov University, Russia

A.A. Kilbas Department of Mathematics Belorussian State University, Minsk

0.1. Marichev Wolfram Research Inc., Illinois

"This book is the world's first comprehensive exposition of fractional calculus and their applications . ... No other book approaches this one in its authoritative and encyclopedic coverage of the subject. '!_N.M. Queen, University of Birmingham, Edgbaston, UK

This book is devoted to the systematic and comprehensive exposition of classical and modern results in the theory of fractional integrals and their applications. Included are various aspects of the theory including functions of one and several variables, periodical and non-periodical cases, and the technique of hypersingular integrals. All existing types of Fractional Integra-Differentiation are examined and compared. Also, the application of fractional calculus to first order integral equations (with power and power logarithmic kernels, and with special functions in kernels) and to Euler-Poisson-Sarboux's type equations and differential equations of fractional order are thoroughly examined.

1993 1,006 pages Cloth ISBN 2-88124-864-0 Ust Price: $325.00 Price for Individuals: $195.00

Now available in hard copy!

ULAM QUARTERLY Editor in Chief Piotr Blass Department of Mathematics Palm Beach Atlantic College Email: [email protected]

Ulam Quarterly, an electronic periodical established in January 1992 as a memorial to Stanislaw Ulam, is now distributed worldwide in an archival hard copy format by Gordon and Breach Science Publishers.

Ulam Quarterly publishes refereed original research papers and open problems covering a broad range of topics in pure and applied mathematics. The journal is dedicated to the universal view of mathematics characteristic of Stanislaw Ulam. These interests led him to make contributions in logic, set theory, measure theory, algebra, algebraic and arithmetic geometry, mathematical biology, control theory, mathematical economics, and mathematical physics, as well as scientific interests in the peaceful application of space exploration and fusion.

The electronic publication is available in either AMS-T ;t. or Postscript form using anonymous FTP from math.uf.edu. or goliath.pbac. edu in the directory pub/ulam volume (show number here).

For more information about the hard copy format of U/am Quarterly, please contact Matt Giarratano of Gordon and Breach at the US address listed below.

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UNIVERSITY OF VIRGINIA

DEPARTMENT OF APPLIED MATHEMATICS

CHAIR

The University of Virginia invites applications and nominations for the position of Chair, Department of Applied Mathematics. The Department, which is in the School of Engineering and Applied Science, has a full-time faculty of eleven, and has numerous active research programs grouped in three major areas: continuum mechanics, control theory, and numerical analysis/scientific computing. The Department offers B.S., M.S., and PhD. degrees in Applied Mathematics and is responsible for all IDldergraduate and graduate education in Applied Mathematics within the School of Engineering and Applied Science.

Candidates for the position must have a PhD. degree and an outstanding record of research and scholarship in Applied Mathematics. Also, they must have a firm knowledge of the best programs in Applied Mathematics nationally and internationally. A clear commibnent to academic leadership, teaching, and administration within an environment dedicated to engineering and applied science is expected. Women and ethnic minority candidates are encouraged to apply. Priority will be given to applications received by March 1, 1994.

Applications should be sent to: Professor Paul Allaire

Chair, Search Committee do Department of Applied Mathematics

Thornton Hall University of Virginia

Charlottesville, VA 22903-2422

The University of Virginia is an equal opportiDlity/affirmative action employer.

Constructivist Methods in Teaching Undergraduate Mathematics

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NO PREVIOUS COMPUTER EXPERIENCE IS REQUIRED Participants will be provided travel grants up to a limit of $400, accommodations and a meal allowance. Take-home software and written materials will be provided at nominal cost. For information and application forms contact: Terry Loro, Department of Mathematics, Purdue University, W. Lafayette, IN 47907. Tel. (317) 494-1982, Fax. (317) 494-6318. ArPUCATION FORMS MUST BE RETIJRNED BY MARCH 15. 1994.

Ed Dubinsky & Keith Schwigendorf, Purdue University; Uri Leron,lsraellnstitute of Technology; Rina 7Azkis, Simon Fraser Universi ; co-directors

de Gruyter

An-Min Li · Udo Simon · Guosong Zhao

Global Affine Differential Geometry of Hypersurfaces 1993. xiv + 328 pages ·Cloth $98.95 ·ISBN 3-ll-DU709-5

de Gruyter Expositions in Mathematics, Volume 11

It has been seventy years since the publication of the first monograph on affine differential geometry. This volume attempts to provide a modern introduction to the subject, while focusing on global methods and important new results in the field.

In order to make the text accessible to those with a background in Euclidean and Riemannian geometry, the authors begin with an introduction that traces the history of affine differential geometry of hypersurtaces. They go on to discuss local theory, locally strongly convex hypersurfaces, affine spheres, integral formulas and the index method, geometric inequalities and relations to the theory of convex bodies.

Complete with comprehensive bibliography and references, this book will be of interest to both students and experts in the field.

CONTENTS

0. Preliminaries and Basic Structural Aspects

1. Local Equiaffine Hypersurface Theory

2. Affine Hyperspheres

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4. Variational Problems and Affine Maximal Surfaces

5. Geometric Inequalities

Appendixes · Bibliography · List of Symbols · Index

Price subject to change.

W It d G yt I WI For North America: a er e ru er oE walter de_Gr~;~yter, Inc. Berlin . New York G 200 saw Mill R1ver Road

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i? International Press announces its new publications

A sample of papers to appear 50 Years of include:

Communications in Radon Transform Quantum Groups Analysis and Geometry L. Simon, "Existence of swfaces

minimizing the Willmore functional" from Coalgebras to Volume I. Numbfl' I Ja~H~~r,-199.\

C.S. Aravinda and F.T. Farrell, Drinfeld algebras Editor·in·Chief Editorial Board "Rank I aspherical manifolds which

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A low cost journal dedicated to rapid publication of high quality research announcements and short articles at the forefront of mathematics

Managing Editors: M. Salah Baouendi • Linda P. Rothschild

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MRL speaks TeX and e-mail ! MRL cuts the bureaucracy !

Authors are encouraged to submit papers in TeX by e-mail. MRL publishes research announcements of length up to 1 0 pages and full articles up to 15 pages. Expository

manuscripts (up to 20 pages) will also be considered. MAL's standards are high. For more information or to submit a paper: mrl@ math.ucsd.edu.

Beginning in January 1994, MAL will appear 6 times a year

Price for libraries: $130 per year Individuals: $85 per year

International Press P.O. Box 2872

Cambridge, MA 02238-2872 USA Phone/FAX: (617) 491-0329

NEW CONCEPT!! "Index to Mathematical Problems 1980 -1984"

A New Concept in Cataloging Math Problems

Includes problems from 28 journals such as: • American Mathematical Monthly • SIAM Review • Nieuw Archief voor Wiskunde • Mathematics Magazine • Crux Mathematicorum, etc •••

The Index to Mathematical Problems contains the text from thousands of problems that were published in journal problem columns during the years 1980-1984. The problems are classified and then sorted by topic. References are given for the journal, year, and page number where the solution to the problem can be found in the literature. Also included are comprehensive author, title, citation, and keyword indexes as well as problems from national and international mathematical olympiads.

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MATHEMATICS AWARENESS WEEK VISUALS available from the:

Candidates with proven research records are encouraged to apply. In terms of the Department's needs, preference will be given to ffiose in the field of Functional Analysis (Linear or Non-Linear).

Requirements: Professor: Doctorate plus J)l'oven research abilities and publications.

A Professor will be expecteCI to provide leadership in research and teaching within a progressive and transforming University.

Associate Professor: Doctorate with appropriate experience and publications. Ability to supervise research and undertake further research publications.

Fringe Benefits: Pension scheme, medical aid scheme, group life assurance, leave privileges, service bonus, relocation expenses and housing subsidy (subject to certain conditions).

Application forms, salary scale and further partic:ulars are obtainable from: The Personnel Division, University of Durban-WestviUe, Private Bag X54001, Durban 4000, South Africa. Tel: (031) 820-2222/3,820-2888. Fax (031) 820-2315. Closing date: 14 January 1994.

Joint Policy Board for Mathematics 1529 Eighteenth Street, NW

Washington, DC 20036 202-234-9570

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All posters are rolled and mailed in a tube. Prices include postage. All orders must be prepaid. Please make check out to AMS.

SCHOOL OF MATHEMATICS

LECTURER/SENIOR LECTURER Tenured(f enurable

Salary: Lecturer A$41,000- A$48.688 per annum; Senior Lecturer A$50.225- A$57.9t3 per annum. Lecturer Level of appointment and commencement salary are dependent on qualifications and experience.

Applications are invited for the posnion of Lecturer/Senior Lecturer in Pure Mathematics, whrch has been made available due to the appointment of Professor G I Gaudry to a chair in Pure Mathematics. Preference will be given to applicants with research interests in harmonic and functional analysis or closely related areas of modern analysis. The University of New South Wales is one ot Australia's leading technological universities. The School ot Mathematics at UNSW. comprising the Departments of Pure Mathematics, Applied Mathematics. and Statistics, is one ot the most successful in Australia at anracting research support. and runs an outstanding visitors' program tor research collaboration. The Department ot Pure Mathematics participates in service teaching, and is responsible tor the provision of specialist teaching in Pure Mathematics at all undergraduate levels (including honours) and in a vigorous graduate program. Applicants should have a PhD in Mathematics, or equivalent qualifications, proven research achievement. and an active research program. Applicants should also be able to demonstrate the capacity to contribute effectively at all levels of the Department's teaching program. A knowledge and understanding of EO/M pnnciples is required. AHhough an appointment at the level ot Lecturer is preferred, appointment at the level of Senior Lecturer will be considered for an applicant with appropriate qualifications and experience. The position is available from July 20. t994, although the commencement date is negotiable. The position may be filled on either a full-time basis. or a fraction of year basis in the first rnstance (the period of such arrangement is subject to negotiation). after which it would revert to full-time. Appointment will enher be wnh tenure or on the basrs of a contract with provision for conversion to tenure. Membership of a University approved superannuation scheme is compulsory. Further information is available from Professor I H Sloan FM, Head of School on telephone (6t 2) 697 2957 or Professor C E Sutherland. Head ot Department of Pure Mathematics on telephone (6t 2) 697 2993 e-mail: sloan @hydra.maths.unsw.edu. au or colins@hydra. maths.unsw.edu.au or facsimile I.St 2) 662 6445. Applications close t5 February 1994. PlEASE QUOTE Ref. 408AMS

APPLICATION PROCEDURE Applicants should submit a written application QUOTING REFERENCE NUMBER. Include business and private telephone numbers; a complete resume, {copies ol academic transcript and qualifications where appropriate); and the names. addresses {and preferably facsimile numbers) of at feast IWo referees to: The Recruitment OHicer. Human Resources, P.O. Box 1, Kensington. N.S.W. 2033 Australia by applications close date. Peoplelrom EEO groups are encouraged to apply. 18934

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I~SliTUTE MATHEMATICS July 1 0-July 30, 1994

Coltrnbia University • Duke Univer~ty • Idaho State Univer~ • University of Illinois at Chicago • Rice University • University of Texas at Austin • University of Utah • University of Washington • lnshtute for Advanced Study •

The Park City/Institute for Advanced Study Mathematrcs lnst1tute (formerly the Regional

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The 1994 Graduate Summer School and Research Program topic will be Gauge Theory and the Topology of Four-Manifolds. Lecturers will incle1de: John Mor~an (Columbia University), Bob Friedman (Columbia University), Ron Stern (UC Irvine), Tom Mrowka (Caltech), and Cliff Taubes (Harvard University).

APPLICATIONS: Fully funded slots are limited. Apply early! Application forms are available by phone, mail, or e-mail. Recommendation letters are required for undergraduates and graduate students. Deadline to apply is 3/1/94. No new teacher applications will accepted for the 1994 program. --

REQUEST APPLICATIONS AND/OR INFORMATION FROM: PC/lAS Mathematics institute, 18C Del robriand St., Salt Lake City, UT, 84113 (801) 585-3488 fax: (801) 585-5793 e-mail: [email protected] "Funding has been reqwsted

College Algebra with Applications Terry H. Wesner and Philip H. Mahler (ISBN 11654)

College Algebra and Trigonometry with Applications Terry H. Wesner and Philip H. Mahler (ISBN 11655)

Trigonometry with Applications Terry H. Wesner and Philip H. Mahler (ISBN 12292)

Precalculus and Its Applications Larry j. Gold.tein (ISBN 21656)

Calculus with Analytic Geometry joe Repka (ISBN 6918)

Single Variable Calculus joe Repka (ISBN 15375)

Calculus Gerald). Janusz (ISBN 15374)

From Symbolic Logic. .. To Mathematical Logic Charles L. Silver (ISBN 14175)

Real Analysis: A First Course with Foundations Malcolm W. Pownall (ISBN 129al)

Elementary Number Theory, 3/e David M. Burton (ISBN 13330)

A Primer for Modem Mathematics Bernard W. Banks (ISBN 21494)

Groups and Geometry john B. Sullivan (ISBN 20585)

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New Series!

Fields Institute Communications series features proceedings and lecture notes growing out of the various activities at the Fields Institute for Research in Mathematical Sciences located in Waterloo, Ontario. The publications evolve from each year's main program. For 1993, the program focused on dynamical systems. For 1994, the main program is L-functions. Interdisciplinary titles are featured in areas of mechanical, civil, and aerospace engineering, control theory, and physics.

Dynamics and Control of Mechanical Systems The Falling Cat and Related Problems

Michael J. Enos, Editor Volume 1

This book contains a collection of papers presented at the Fields Institute workshop, "The Falling Cat and Related Problems," held in March 1992. The theme of the workshop was the application of methods from geometric mechanics and mathematical control theory to problems in the dynamics and control of freely rotating systems of coupled rigid bodies and related nonholonomic mechanical systems. This book will prove useful in providing insight into this new and exciting area of research.

1991 Mathematics Subject Classification: 70, 58, 93, 49 ISBN 0-8218-9200-2, 280 pages (hardcover), July 1993 Individual member $52, List price $87, Institutional member $70 To order, please specify FIC/lNA

Control of Flexible Structures K. A. Morris, Editor

Volume2

This volume contains papers presented at the workshop "Problems in Sensing, Identification, and Control of Flexible Structures". Topics range from theoretical research on the well-posedness of systems to experimental implementations of various controllers. A number of controller design techniques are discussed and compared, and there are several papers on modelling the complex dynamics of flexible structures. This book is a useful resource to control theorists, engineers, and mathematicians interested in this important field of research.

1991 Mathematics Subject Classification: 93, 70 ISBN 0-8218-9201-0, 243 pages (hardcover), July 1993 Individual member $49, List price $82, Institutional member $66 To order, please specify FIC/2NA

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TRANSLATIONS OF MATHEMATICAL MONOGRAPHS

Theory of Commutative Fields Masayoshi Nagata Volume 125

This book is a translation of the 1985 updated edition of Nagata's 1966 book; both editions originally appeared in Japanese. Nagata aimed to provide an introduction to commutative fields that would be useful to those studying the topic for the first time as well as to those wishing a reference book. The book presents, with as few prerequisites as possible, all of the important and fundamental results on commutative fields. Each chapter ends with exercises, making the book suitable as a textbook for graduate courses or for independent study.

1991 Mathematics Subject Classification: 12 ISBN 0-8218-4572-1, 249 pages (hardcover), July 1993 Individual member $75, List price $125, Institutional member $100 To order, please specify MMON0/125NA

Invariant Function Spaces on Homogeneous Manifolds

of Lie Groups and Applications M. L. Agranovskii

Volume 126

This book studies translation-invariant function spaces and algebras on homogeneous manifolds. The central topic is the relationship between the homogeneous structure of a manifold and the class of translation-invariant function spaces and algebras on the manifold. The author obtains classifications of translation-invariant spaces and algebras of functions on semisimple and nilpotent Lie groups, Riemann symmetric spaces, and bounded symmetric domains.

1991 Mathematics Subject Classification: 43; 22 ISBN 0-8218·4604-3, 131 pages (hardcover), July 1993 Individual member $43, List price $71, Institutional member $57 To order, please specify MMON0/126NA

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CONTEMPORARY MATHEMATICS

Index Theory and Operator Algebras Jeffrey Fox and Peter Haskell, Editors Volume 148

Index Theory and Operator Algebras

This collection of papers by leading researchers provides a broad picture of current research directions in index theory. Based on lectures presented at the NSF-CBMS Regional Conference on K-Homology and Index Theory, held in August 1991 at the University of Colorado at Boulder, the book provides both a careful exposition of new perspectives in classical index theory and an introduction to currently active areas of the field. Aimed at graduate students and researchers, this book is suitable as a text for an advanced graduate course on index theory.

JetffeyFox Peter Hoskelt

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1991 Mathematics Subject Classification: 58, 46, 19 ISBN D-8218-5152-7, 190 pages (softcover), July 1993 Individual member $25, List price $41, Institutional member $33 To order, please specify CONM/148NA

Doeblin and Modern Probability Harry Cohn, Editor Volume 149

Doeblinand Modern Probability

This book is based on papers presented at the conference, "Fifty Years after Doeblin: Developments in the Theory of Markov Chains, Markov Processes, and Sums of Random Variables," held at Blaubeuren, Germany, in November 1991. With contributions by top probabilists from sixteen countries, this book will interest both researchers in probability and science historians.

t!orryCohn Editor

Mapping Class Groups and Moduli Spaces of Riemann Surfaces

Cort-Fnedrieh BOdigheimer RichordM. Hain

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1991 Mathematics Subject Classification: 60 ISBN D-8218-5149-7, 347 pages (softcover), July 1993 Individual member $29, List price $49, Institutional member $39 To order, please specify CONM/149NA

Mapping Class Groups and Moduli Spaces of Riemann Surfaces Carl-Friedrich Bodigheimer and Richard M. Hain, Editors Volume 150

This book contains proceedings from two workshops held in the summer of 1991, one at the University of Gottingen and the other at the University of Washington at Seattle. The papers gathered here represent diverse approaches and contain several important new results. With both research and survey articles, the book appeals to mathematicians and physicists.

1991 Mathematics Subject Classification: 14, 30; 20, 55 ISBN 0-8218-5167-5, 372 pages (softcover), August 1993 Individual member $31, List price $51, Institutional member $41 To order, please specify CONM/150NA

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Translations of Mathematical Monographs

An Introduction to Sato's Hyperfunctions Mitsuo Morimoto

Volume 129

This book is a translation, with corrections and an updated bibliography, of Morimoto's 1976 book on the theory of hyperfunctions originally written in Japanese. Since the time that Sato established the theory of hyperfunctions, there have been many important applications to such areas as pseudodifferential operators and S-matrices. Assuming as little background as possible on the part of the reader, Morimoto covers the basic notions of the theory, from hyperfunctions of one variable to Sato's fundamental theorem. This book provides an excellent introduction to this important field of research.

1991 Mathematics Subject Classification: 46; 32, 58 ISBN 0-8218-4571-3, 273 pages (hardcover), October 1993 Individual member $52, List price $87, Institutional member $70 To order, please specify MMON0/129NA

Cobordisms and Spectral Sequences V. V. Vershinin

Volume 130

Cobordism is one of the most basic notions of algebraic topology. This book is devoted to spectral sequences related to cobordism theory: the spectral sequence of a singularity, the Adams-Novikov spectral sequence, and applications of these and other sequences to the investigation of cobordism rings.

1991 Mathematics Subject Classification: 55 ISBN 0-8218-4582-9, 97 pages (hardcover), October 1993 Individual member $37, List price $62, Institutional member $50 To order, please specify MMON0/130NA


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Index

The numbered pages of the ten issues of Notices for 1993 are: January: 1-96 July-August: 569-776 February: 97-216 September: 777-968 March: 217-320 October: 969-1152 April: 321-456 November: 1153-1328 May-June: 457-568 December: 1329-1536

ACKNOWLEDGMENT OF CONTRIBUTIONS, 866

ADVERTISING POLICY, Recruitment, 74, 744

AMS LECTURERS, OFFICERS, FUNDS, AND, PRIZES, 1271

AMS REPORTS & COMMUNICATIONS, (See also SURVEYS) AMS Lecturers, Officers, Funds, and Prizes, 1271 Board of Trustees, 423 Business Meetings of the Society, January 1993, San

Antonio, 426; Bylaws of the AMS, 1266 Council Membership for 1993, 422 Council Meetings of the Society, March 1992, Springfield,

Missouri, 423; September 1992, Providence, 425; January 1993, San Antonio, 523; Washington, DC, 1281; Vancouver, British Columbia, 1283

Election Results of 1992, 68 Member of Executive Committee, 423 Members-at-Large, 422 Officers and Committee Members, 936 Officers of the Society, 422 Publications and Communications Committees, 423 Recent Appointments, 294, 422, 523, 727, 935, 1280, 1460 Reports of Past Meetings,

1992: March Meeting in Springfield, 68 1992: October-November Meeting in Dayton, 68 1993: March Meeting in Knoxville, 727 1993: April Meeting in Washington, DC, 728 1993: May Meeting in DeKalb, 728

Statistics on Women Mathematicians, 935

AMS SHORT COURSE SERIES Call for Topics, 502, 698, 1250, 1442 Complex Dynamics: The Mathematics behind the

Mandelbrot and Julia Sets, Cincinnati, 1075

ARTICLES, GENERAL 1992 Annual AMS-MAA Survey: Doctoral Degrees

Conferred (Supplementary Lis(), 327 1992 Annual AMS-MAA Survey (Second Reporf), 601 1993 Annual AMS-IMS-MAA Survey (First Report), 1164 AMS fSU Aid Update, 777

Report on a Visit to Mathematical Centers in Moscow, St. Petersburg, and Kiev, 782

The AMS fSU Aid Fund, 785 Mathematical High Schools: What Are They?, 786 An Open Letter to the AMS, 790 AMS fSU Grant Recipients, 790

Doctoral Department Retention, Expectations, and Teaching Preparation, 803

Executive Director Jaco to Leave the AMS in Two Years' Time, 1335

Fermat Fest Draws a Crowd, 982 Flat-Rate Research Funding: Two Views, 3

Interview with Frederic Wan, 577 Interview with Judith S. Sunley, 792 Jobs, Grants, and the New Ph.D., Part 1, 588 Jobs, Grants, and the New Ph.D., Part 2, 796

• •••••hOoooo•hoo"~••<M•-·----

Joint Mathematics Meetings in Heidelberg, Meetings Provide a Look at Some Interesting Mathematics and at Issues Facing Mathematicians in Germany, 1158

Joint Mathematics Meetings in San Antonio, 231 MSEB Comes of Age, 9 National Science Foundation Budget Request for Fiscal Year

1994, 581 New Mathematics Building Opens at the Institute for

Advanced Study, 594 "New Order" for Federal Funding: Committees on Science

Policy and on Education Face Shifts in Public Support, 1160

New Wave at NSF: Industrial Postdocs, 591 Notices Special Issue: Mathematics in the Former Soviet

Union, 103 A View on Moscow Mathematics, 122 Entrance Examinations for the Independent University of

Moscow, 138 From Novosibirsk to San Diego: A Student Perspective,

123 Programs to Aid Mathematics in the Former Soviet

Union, 117 Questionnaire on Mathematics in the Former Soviet

Union, 132 Russian Popular Math Traditions-Then and Now, 124 Some Russian Mathematical Institutions, 119 What Will Happen to Our Mathematics?, 129 Will Russian Mathematics Survive?, 104 Women in Soviet Mathematics, 108

Robert D. MacPherson Receives Second NAS Award in Mathematics, 325

Some Glimpses of Mathematics in Industry, 800 Survey of American Research Journals, 1339 The Endless Frontier Meets Today's Realities, 6 The Gordon & Breach Lawsuit against the AMS, 1337 Wiles Proves Taniyama's Conjecture; Fermat's Last

Theorem Follows, 575 Young Scientists' Network: Advocacy and an Electronic

Newsletter Ease New Doctorates' Job Search Woes, 462

ARTICLES ON PRIZES AWARDED BY THE SOCIETY 1992 Steele Prizes, 221 1993 Steele Prizes, 973 1993 Award for Distinguished Public Service, 226 The 1993 Ruth Lyttle Satter Prize, 229

ARTICLES, SPECIAL Theorems for a Price: Tomorrow's Semi-Rigorous

Mathematical Culture, 978

AUTHORS OF ARTICLES AND COLUMNS Abbott, Paul C., 1212 Anderson, Nancy D., 627 Arnold, V.I., 104 Artin, Michael, 103 Axler, Sheldon, 1215 Babbitt, Donald, 1362 Beauzamy, Bernard, 140 Beilinson, Alexander, 132 Blackwelder, M. Annette , 803


IB!Iii li!HI!IID IB!lliii!!JUHI-mll!-; Index

AUTHORS OF ARTICLES AND COLUMNS (Cont'd) Blum, Lenore, 860 Bott, Raoul, 325 Bradley, JohnS., 652 Brillhart, John, 32 Butler, G., 839 Case, Bettye Anne, 803 Casti, John L., 464 Darling, R.W.R., 150 Oaverman, Robert J., 728 Davis, Joel, 329 Davis, Paul, 800 Devlin, Keith, 15, 143, 236, 329, 464, 613, 834, 985, 1153,

1352 Douglas, Ronald G., 328 Dray, Tevian, 329 Dudley, Richard, 841 Efimova, Lena, 790 Emert, John W., 988 Ewing, John, 640 Fomin, Sergey, 133 Fossum, Robert M., 529, 628, 813, 1281, 1283 Franks, John, 1200 Gangolli, Ramesh, 1345, 1349 Garfunkel, Solomon A., 611 Gessel, Ira M., 236 Ginzburg, Victor, 133 Goldson, Doug, 143 Goggins, Timothy, 785 Gouvea, Fernando, 30 Gratzer, George, 148, 834 Griffiths, Phillip A., 594 Habegger, William V., 988 Haralambous, Yannis, 1353 Hartz, David, 469 Harvey, Wayne, 862 Herman, Richard H., 6 lyer, S.S., 839 Jaco, William H., 2, 98, 218, 322, 458, 570, 778, 970, 1154,

1330 Jackson, Allyn, 9, 231, 462, 577, 581, 588, 591, 626, 792,

796, 864, 982, 1158, 1160, 1217, 1335, 1337 Katok, Anatole, 108 Katok, Svetlana, 1 08 Klotz, Gene, 990, Kuperberg, Greg, 1210 Kushner, Boris A., 12 Levy, Silvio, 985 Lewis, Albert C., 847 Mac Lane, Saunders, 612, 1347, 1350 MacPherson, Robert, 117, 119, 782 Magid, Andy R., 728 Majda, Andrew J., 816 Manin, Yu. 1., 134 Margolis, Marvin S., 238 McClure, Donald E., 601 Milnor, John, 815 Molnar, Suzanne M., 28 Molzon, Robert, 3 Munzner, Tamara, 985 Ney de Souza, Paulo, 617 O'Brien, E.A., 839 Peterson, Franklin P., 630 Phillips, Mark, 985 Pinch, R.G.E., 1203

Pinkham, Roger, 29, 152 Polking, John C., 4 Reeves, Steve, 143 Reshetikhin, Nikolai, 135 Ribet, Kenneth A., 575 Riddle, Larry, 332 Rossi, Hugo, 843 Ruckle, William H., 26 Rudakov, Alexei N., 122 Scavo, Tom, 1353 Shapiro, Daniel B., 624 Shen, Alexander, 786 Shubin, Mikhail, 135 Sibner, Lesley M., 728 Small, Lance W., 123 Sossinsky, A.B., 124 Spit, Werenfried, 1353 Suslin, Andrei, 133 Takhtajan, Leon, 136 Talman, Louis A., 832 Thompson, Lisa A., 637, 1364 Vershik, Anatoli, 129 Weideman, Andre, 329 Wos, Larry, 15 Zeilberger, Doron, 978 Zvonkin, Alexander, 137

BACKLOG OF MATHEMATICS RESEARCH JOURNALS (See SURVEYS)

BUSINESS MEETINGS OF THE SOCIETY (See AMS REPORTS & COMMUNICATIONS)

BYLAWS OF THE AMERICAN MATHEMATICAL SOCIETY, 830, 1002, 1266

CLASSIFIED ADVERTISEMENTS, 75, 199, 300, 432, 540, 745,950,1121,1291,1465

COMPUTERS AND MATHEMATICS, 15, 143, 236, 329, 464, 613, 834, 985, 1203, 1352

Advances in TEX Implementations: I. PostScript Fonts, 834 AJVtS-ffi"EX, 148 Announcements

Archive of sci.math.research, 1215 GP/PARI System, 30

Automated Reasoning Answers Open Questions, 15 Cabri-Geomtre vs. The Geometer's Sketchpad: A

Comparison of Two Dynamic Geometry Systems, 988 Computer Algebra Systems, 617 Corrections, 1217, 1360 Geomview: An Interactive Geometry Viewer, 985 Reviews of Mathematical Software,

Bitmap-free TEX. 464 FrameMaker 3.0, 150 GyroGraphics, version 4, 332 Harmonic Function Theory, 1212 Maple V for the Macintosh, 236 Mathcad 3.1: Calculations for the Rest of Us, 26 Math Type 3.0, 469 Matrix Algebra Version 2.2, 28 MLAB: A Mathematical Modelling Laboratory, 152 TEX on the Macintosh, 1353 The Student Edition of Minita~Release a-Statistical

Software ... Adapted for Education, 238 The Student Edition of MATLAB, 329 The Tl-85, 29

Remarks on Computer System Verification, 841


COMPUTERS AND MATHEMATICS (Cont'd) Software Reviews, 613 Some Primality Testing Algorithms, 1203 The Death of Proof, 1352 The Geometry Forum, 992 TwoGroups: A Database for Group Theory, 839 Update on Harmonic Function Theory, 1215 Using Programs to Teach Logic to Computer Scientists, 143 Using the "Math. school. edu" Convention, 1210

CONTRIBUTING MEMBERS, 866

CORPORATE MEMBERS AND INSTITUTIONAL ASSOCIATES, 866

COUNCIL MEETINGS (See AMS REPORTS)

DEATHS OF MEMBERS OF THE SOCIETY, (See also OBITUARIES)

Afghahi, Mohammad Hossain, 730 Bacon, Harold M., 1095 Bakelman, llya, 70 Barnes, Mabel S., 730 Beesley, Edward M., 1461 Bers, Lipman, 1461 Bower, Oliver K., 730 Breuer, Shlomo, 730 Burkill, John C., 730 Busenberg, Stavros, 730 de Castro Brzezicki, A., 431 Chorley, Frank V., 529 Clifford, Alfred H., 431 Crabtree, J. Bruce, 1265 D'Atri, Joseph E., 1095 Desmond, James E., 1265 Dieudonne, Jean A., 431 Donescu, Alexandru, 730 Eaves, Edgar D., 1095 Edison, Theodore M., 529 Ellis, Alan John, 730 Evyatar, Asriel, 730 Fieber, Heribert, 193 Givens, James Wallace, 529 Guay, Christian, 1461 Hall, Peter, 730 Hedlund, Gustav A., 730 Hess, Peter, 193 Hirsch, Guy C., 1095 Holgate, Philip, 730 Hughart, Stanley P., 730 Jessen, B0rge, 730 Keller, M. Wiles, 730 Kemeny, John J., 193, 243 Ketchum, Pierce W., 947 Kirby, Andrew R., 730 Maecher, John H.P., 1095 Maurica, Javier Martinez, 730 McDonnell, J.H., 431 McKee, Ruth Stauffer, 529 Moishezon, Boris, 1220 Nachbin, Leopoldo, 730 Pan, Ting K., 193 Patarinski, Simeon, 730 Pflaum, Charles W., 193 Ries, John F.X., 947 Roessler, Edward B., 1095 Royden, Halsey, 1265

Index

Rund, Hanno, 431 Ruymgaart, Peter A., 70 Schweiter, Gail A., 70 Seymour, Michael J., 70 Shanks, E. Baylis, 193 Southard, Thomas H., 529 Steinhardt, Fritz, 730 Swokowski, Earl W., 70 Thomas, Janet D., 70 van der Mass, Gerard, 529 Walker, Robert J., 431 Walton, Lewis F., 730 Zorn, M.A., 529, 640

DOCTORAL DEGREES CONFERRED, 199G-1991 (Supplementary List), 327

DOCTORAL DEGREES CONFERRED, 1991-1992 (Supplementary List), 327, 1199

···········*····-····---

DOCTORAL DEGREES CONFERRED, 1992-1993, 1180

EDUCATION, MATHEMATICS 1993 NSF Calculus Reform Workshops, 154 AMATYC Drafting National Standards, 1223 An Unfortunate Metaphor, 832 Bass (Hyman) New Chair of MSEB, 475 Biting the Bullet, 611 Doctoral Department Retention, Expectations, and Teaching

Preparation, 803 Entrance Examinations for the Independent University of

Moscow, 138 From Novosibirsk to San Diego: A Student Perspective, 123 ICMI Study on Gender and Mathematics Education, 33 Mathematical High Schools: What Are They?, 786 Mathematics Staff in NSF's Education Directorate, 998 MSEB Comes of Age, 9 National Science Foundation Budget Request for Fiscal Year

1994, 581 "New Order'' for Federal Funding: Committees on Science

Policy and on Education Face Shifts in Public Support, 1160

New Program Announcement for Undergraduate Education at NSF, 158

New Report on Assessment from MSEB, 156 NSF's Advanced Technological Education Program, 1371 Recognition and Rewards: What Does the Community

Value?, 1217 Reflections on the Education Challenges Faced by

Mathematicians, 862 Report on the Mathematical Preparation of Teachers, 32 Research with Teaching (There Is No Bullet to Bite), 612 Russian Popular Math Traditions-Then and Now, 124 Summer Geometry Institute, 33 The Arnold Ross Lecture Series, 624 What Directions for the AMS Today?, 1345

Ramesh Gangolli, 1345 Saunders Mac Lane, 1347 Response from Ramesh Gangolli, 1349 Response from Saunders Mac Lane, 1350

Wagreich Receives Education Award, 851

ELECTION INFORMATION (AMS), 1993 AMS Election Special Section, Table of Contents, 813 Biographies of Candidates, 818 Call for Suggestions for 1993 Nominations, 39 Call for Suggestions for 1994 Nominations, 814, 1228, 1375 Candidates, 814, 1004


ELECTION INFORMATION (AMS) (Cont'd) Council Nominations, 655 Editorial Boards Committee, 37, 159, 655, 828, 1004, 1226,

1373 Introduction, 813 Nominating Committee, 37, 159, 655, 827, 1004, 1226, 1373 Nomination Petition for 1993 Election, 38, 160 Nominations for President-Elect, 815 Nominations by Petition, 37, 159, 1226, 1373 President-Elect, 655, 818, 1004 President's Candidates, 655 Proposed Amendments to the Bylaws, 830, 1002 Replacement Ballots, 814, 1004 Rules and Procedures, 37, 159, 1226, 1373 Suggestions for 1994 Nominations, 1004 Trustees, 825 Vice-President or Member-at-Large, 37, 159, 655, 819, 821,

1004, 1226, 1373

EMPLOYMENT REGISTER, 1072

FORUM An Unfortunate Metaphor, 832 Biting the Bullet, 611 Free Enterprise in Mathematics, 140 Funding Mathematicians or Mathematics?, 328 Research with Teaching (There Is No Bullet to Bite), 612 Some Remarks about Shafarevich's Book Russophobia, 12 The Impact of Electronic Publication on Scholarly Journals,

1200 What Directions for the AMS Today?, 1345

Ramesh Gangolli, 1345 Saunders Mac Lane, 1347 Response from Ramesh Gangolli, 1349 Response from Saunders Mac Lane, 1350

FOR YOUR INFORMATION, 20th Anniversary of the Societal Institute of the

Mathematical Sciences, 479 Academy Report on Priorities in Funding Sciences, 864 Reflections on the Education Challenges Faced by

Mathematicians, 862 The Advisory Committee for the NSF's Division of

Mathematical Sciences, 652 Women in Algebraic Geometry Workshop at MSRI, 860

FUNDING INFORMATION FOR THE MATHEMATICAL SCIENCES

AMS Centennial Fellowships Invitation for Applications, 1994-1995, Deadline: December 1, 1993, 649, 1001

Geosciences, Geography, and Mathematical Sciences, 158 Grants for Mittag-Leffler for 1993-1994, 158 International Science Foundation Travel Grant Program, 650 Mathematical Sciences Postdoctoral Research Fellowships,

649,858 New Program Announcement for Undergraduate Education

at NSF, 158 NSA Grants Update, 858 NSA Sabbatical Program, 1001 NSF Continues Special Fund for Innovative Projects, 1371 NSF Grand Challenge Groups, 338 NSF Launches Program for Industrial Postdocs, 649 NSF Young Investigator Awards, 1371 NSF Young Investigators Program, 36 NSF-AWM Travel Grants for Women, 651 NSF/NATO East Europe Fellowships, 650 NSF's Advanced Technological Education Program, 1371

Index

Proposed NSF University-Industrial Postdoctoral Program, 859

SIAM Student Travel Awards, 338 Special Opportunity in Algebra and Number Theory, 1225 Summer Internships in Probability and Stochastic

Processes, Center for the Mathematical Sciences, University of Wisconsin-Madison, 157

Target Dates for NSF Proposals, 858 Target Dates Instituted at NSF, 478 Third World Congress of the Bernoulli Society, 1372 Travel Grants for ICM 94, ZOrich, 651, 858 University-Industry Postdoctoral Research Associateships in

the Mathematical Sciences, 1225 Workshop for Women Graduate Students and Postdocs, 651

INSIDE THE AMS AMS Electronic Mail Addresses, 994 AMS Reciprocity Agreements, 242 New e-MATH Initiatives, 471 New Pricing Scheme for Mathematical Reviews Products,

1362 Recognition and Rewards: What Does the Community

Value?, 1217 Report of a Special Committee on Professional Ethics, 1217 Report of the Secretary, 628 Report of the Treasurer, 630 Sponsored Membership Program, 242, 636, 1362 The Arnold Ross Lecture Series, 624 The Mathematical Community Can Help Control Publication

Costs, 627 The Recommendations of the Committee to Review Member

Publications (CAMP), 843 What's Happening: New Publication Takes the AMS in New

Directions, 626 Why Archive?, 847

INVITED SPEAKERS, Lists of, Andrews, George E. (nME Frame Lecture), Vancouver, 267 Arthur, James G. (CMS Jeffrey-Williams Lecture),

Vancouver, 267 Artin, Michael, (Retiring Presidential Address), Cincinnati,

499,695,915 Atiyah, Michael, (MAA Hedrick Lectures), Vancouver, 267 Bayer, David, Brooklyn, 499, 695, 915, 1078, 1243, 1435 Benkart, Georgia M., (AMS-MAA), Cincinnati, 695, 915 Borel, Armand, (AMS Progress in Mathematics Lecture),

Vancouver, 43, 168, 267 Borwein, Jonathan, (CMS-MAA), Vancouver, 267 Bourgain, Jean, (Colloquium Lectures), Cincinnati, 695, 915 Brassard, Gilles, (CMS-MAA), Vancouver, 267 Breen, Marilyn, Manhattan, 695, 915, 1078, 1243, 1435 Burdzy, Krzysztof, Claremont, 499 Chandrasekhar, Subrahamanyan, (AMS-MAA), Cincinnati,

499, 695, 915 Christ, Michael, Salt Lake City, 43 Chung, Fan R.K., Washington, DC, 43 Cranston, Michael C., Manhattan, 695, 915, 1078, 1243,

1435 Dongarra, Jack J., Lexington, 695, 915, 1078, 1243, 1435 Faltings, Gerd, Heidelberg, 43, 168, 267, 401 Flatto, Leopold, Washington, DC, 43 Friedlander, Susan J., DeKalb, 43, 168 Friedman, Avner, (Progress in Mathematics Lecture),

Vancouver, 43, 168, 267 Ghoussoub, Nassif, Claremont, 499 Golden, Kenneth M., Salt Lake City, 43


! ii 1111-E-IIIIIIMillll-

INVITED SPEAKERS (Cont'd) Gompf, Robert E., (AMS-CMS), Vancouver, 43, 168, 267 Goss, David M., Manhattan, 695, 915, 1078, 1243, 1435 Guralnick, Robert M., Salt Lake City, 43 Guy, Richard K. (CMS-MAA Student Lecture), Vancouver,

267 Hofer, Helmut H.W., 401 Hopkins, Michael J., Heidelberg, 267, 401 Hughes Hallet, Deborah, (CMS-MAA), Vancouver, 267 Hurtubise, Jacques C., Cincinnati, 499, 695, 915 Hyman, James M., Cincinnati, 499, 695, 915 lwaniec, Tadeusz, Syracuse, 43, 168, 267, 401 Jones, Vaughan F. R., Heidelberg, 267, 401 Kronheimer, Peter B., Brooklyn, 499, 695, 915, 1078, 1243,

1435 Kuku, Aderemi 0., (AMS-CMS-MAA-NAM), Vancouver, 168,

267 Lakshmibai, V., Stillwater, 695, 915, 1078, 1243, 1435 Lalley, Steven P., College Station, 43, 168, 267, 401, 499 Lawson, H. Blaine, (AMS-CMS), Vancouver, 43, 168, 267 Logan, Ben F., Hartford, 1435 Lovasz, Laszl6, (AMS-MAA), Cincinnati, 695, 915 Lyons, Russell D., DeKalb, 43, 168 Makarov, N., Claremont, 499 Manin, Yuri, (Colloquium Lectures), Vancouver, 43, 168, 267 Marker, David E., Stillwater, 695, 915, 1078, 1243, 1435 May, Robert M., (Gibbs Lecture), Cincinnati, 499, 695, 915 McClure, James E., Lexington, 695, 915, 1078, 1243, 1435 McGibbon, Charles A., Syracuse, 43, 168, 267, 401 McMullen, Curt, (AMS-CMS), Vancouver, 43, 168, 267 McNulty, George F., Lexington, 695, 915, 1078, 1243, 1435 Mitra, Debasis, Brooklyn, 499, 695, 915, 1078, 1243, 1435 Morrison, David, Lexington, 695, 915, 1078, 1243, 1435 Nirenberg, Louis, (AMS-CMS), Vancouver, 43, 168, 267 Pipher, Jill, (AMS-CMS), Vancouver, 43, 168, 267 Pisier, Gilles, College Station, 43, 168, 267, 401, 499 Pitt, Loren D., Richmond, 695, 915, 1078, 1243, 1435 Pomerance, Carl, Cincinnati, 499, 695, 915 Renegar, James M., Syracuse, 43, 168, 267, 401 Reshetikhin, Nicholai, Claremont, 499 Reshetikhin, Nicholai, Brooklyn, 499, 695, 915, 1078, 1243,

1435 Rhoad, Richard (MAA-Mu Alpha Theta Lecture), Vancouver,

267 Robinson, Clark, DeKalb, 43, 168 Rocha, Alvany, Syracuse, 43, 168, 267, 401 Sadosky, Cora S., Richmond, 695, 915, 1078, 1243, 1435 Shaw, Mei-Chi, Manhattan, 695, 915, 1078, 1243, 1435 Slaman, Theodore A., College Station, 43, 168, 267, 401,

499 Spruck, Joel, Washington, DC, 43 Stolz, Stephan A., College Station, 43, 168, 267, 401, 499 Strang, Gilbert, Cincinnati, 499, 695, 915 Treisman, Uri, (CMS-MAA), Vancouver, 267 Uraltseva, Nina N., Hartford, 1435 Vilonen, Kari, Hartford, 1435 Waterman, Michael S., Salt Lake City, 43 Williams, Ruth J., Cincinnati, 499, 695, 915 Wright, David J., Stillwater, 695, 915, 1078, 1243, 1435 Zamolodchikov, A., Washington, DC, 43 Zeilberger, Doron, Richmond, 695, 915, 1078, 1243, 1435 Zhang, Shouwu, Hartford, 1435 Zinn, Joel, Stillwater, 695, 915, 1078, 1243, 1435

JOINT SUMMER RESEARCH CONFERENCE SERIES (See SUMMER RESEARCH CONFERENCE SERIES)

lndex

LETTERS TO THE EDITOR Achar, B.N. Narahari, 99 Arnold, V.I., 1157 Bellur, Srinath, 99 Bennett, Curtis D., 459 Bhatia, Rajendra, 101 Boutin, Debra L., 1332 Burton, David M., 1332 Collins, Eliot W., 102 Cruz-Uribe, David, SFO, 459 D'Ambrosio, Ubiratan, 461 Davis, Chandler, 99 Dawson, Bryan, 461 Day, Colin, 573 Diesel, Susan, 1332 Garfunkel, Solomon, 571, 1156 Gindikin, Simon, 572 Goodman, A.W., 1156 Govindachar, Suresh, 779 Gray, Mary W., 1333 Gurarie, David, 1331 Halmos, Paul R., 574 Hermann, Robert, 323, 572 Hernandez, Diego Bricio, 573 Humphreys, J.E., 574 Jackson, Allyn, 1333 Jerison, Meyer, 1156 Johnson, Ken, 461 Kanigel, Robert, 1 00 Kaplansky, Irving, 1155 Kauffman, Robert M., 101 Krantz, Steven G., 101 Kushner, Boris A., 1331 Lazarsfeld, Robert, 971 Lewis, D.J., 102 Lorch, Lee, 219 Mac Lane, Saunders, 571 MacPherson, Robert, 1331 Magid, Andy R., 779 Mahavier, William Ted, 574 Noll, Walter, 460 O'Neill, John D., 779 Ostaszewski, Krzysztof, 572 Palais, RichardS., 460 Plaut, Conrad, 459 Rajagopalan, M., 99 Sadosky, Cora, 99 Samuel, Pierre, 573 Santos, Gilberto Diaz, 573 Schacher, Murray, 971 Shisha, Oved, 779 Smith, Ken W., 971 Thomas, David A., 571 Toom, Andrei, 1156 Waterhouse, William C., 324 Weichsel, Paul M., 971 Weintraub, Steven H., 219 Whitten, Wilbur, 460 Young, Gail S., 779, 1333 Zivaljevic, Rade, 1155

MATHEMATICAL SCIENCES EMPLOYMENT REGISTER (See EMPLOYMENT REGISTER)

MEETINGS OF THE AMS Calendars of AMS Meetings, Inside Front Covers


MEETINGS OF THE AMS (Cont'd) Call for Topics, 502, 698, 1250, 1442 MAA Contributed Papers, 691 Meeting Announcements and Programs

March: Knoxville, 41, 161, 247 April: Salt Lake City, 164, 259, 339 April: Washington, DC, 166, 262, 348 May: DeKalb, 265, 363, 481 August: Vancouver, B.C., 366, 494, 657 September: Syracuse, 495, 682, 887 October: Heidelberg, Germany, 400, 497, 684, 898 October: College Station, 686, 909, 1005 November: Claremont, 688, 911, 1020 December: Merida, Yuacatan, Mexico, 400, 690, 913,

1028, 1229 Janua~: Cmcinna~ 691, 918, 1030, 1242, 1385

Organizers and Topics of Special Sessions, 43, 168, 267, 401,499,695,915,1078,1243,1435

MEETINGS AND CONFERENCES, OTHER, 53, 178, 275, 406, 504, 702, 920, 1083, 1251, 1444

1994 International Congress of Mathematicians, 700 Mathematics Sessions at the AAAS Annual Meeting, 1443 Winter Meeting of the Canadian Mathematical Society, 1081

MISCELLANEOUS, 70, 193, 431, 529, 730, 947, 1095, 1265, 1461

NEW AMS MEMBERS, 71, 194, 297, 531, 740, 948, 1096, 1462

NEW PUBLICATIONS OFFERED BY THE AMS, 65, 188, 288, 418,516,716,929,1090,1260,1454

NEWS & ANNOUNCEMENTS 1993 NSF Calculus Reform Workshops, 154 1995 Joint Meetings Moved from Denver, 245 AAAS Awards for Mentoring and Journalism, 475 AAUW Awards Grants to Women, 32 ACE Names Fellows, 851 AMATYC Drafting National Standards, 1223 American Academy Elects New Members, 640 AMS Awards for Outstanding PME Student Paper

Presentations, 852 AMS Awards Prizes at the 44th International Science and

Engineering Fair, 643 AMS Centennial Fellowships Awarded, 472 AMS Life Insurance Benefit, 647 AMS to Publish Fields Institute Series, 336 Atiyah Receives Franklin Medal, 641 Awards Made in Trjitzinsky Fund, 153 AWM Moves to Ma~land, 476 Backus, Creator of FORTRAN, Receives Draper Prize, 1366 Balaguer Prize Awarded for 1992, 474 Bass New Chair of MSEB, 475 Ben Arous and Pemantle Receive Rollo Davidson Prizes,

641 BMS Annual Department Chairs Colloquium, 648 Book Discount for AMS Members, 1367 Borel Receives Balzan Prize, 850 Bottcher Receives Krupp Award, 1221 Call for Nominations for A.W. Tucker Prize, 854 Call for Nominations for AWM Hay Award, 647 Call for Nominations for Dantzig Prize, 854 Call for Nominations for Schafer Prize, 156 CBMS Project on Career Information, 244 Christodoulou Receives MacArthur Award, 850 Conference on Ordinal Data Analysis, 648

Index

Conley Receives Wilkinson Fellowship, 851 Coron and Auroux Receive Fermat Prizes, 851 DoE Mathematics Program, 1367 Errata, 337, 856, 1000, 1370 Fisher Receives Hay Award, 475 Ford Foundation Fellowships Awarded, 1221 Foundation "Matematika" Will Assist fSU Visitors, 336 Fox (Leslie) Prize, 1366 Fulbright Awards Announced, 336 Glimm Receives SIAM Prize, 996 Graduate Student Fulbrights Awarded for 1992-1993, 474 Graham to Give Pitcher Lectures, 244 Gromov and Tits Receive Wolf Prize, 335 Guggenheim Fellowships Awarded, 642 Hall to Give Pitcher Lectures, 854 Henri Poincare Institute Restarts Activities, 996 ICMI Study on Gender and Mathematics Education, 33 ILAS Prizes in Linear Algebra, 474 Isaac Newton Institute for Mathematical Sciences, 856 ISF Requests Help with Proposal Review, 1223 Kemen~John, 1926-1992,243 Kruskal Receives National Medal of Science, 1366 Lehmer, Derrick Hen~. 1905-1991, 31 LMS Prizes for 1993, 851 Lovasz Wins Brouwer Medal, 642 MAA Presents Exposito~ Awards, 995 MAA Prizes Awarded in San Antonio, 243 Mandelbrot Receives Wolf Prize, 640 Mathematics Awareness Week 1993, 32, 856 Mathematics Awareness Week 1994, 1000, 1367 Mathematics Leaders Testify on NSF Budget, 646 Mathematics Projects Garner Awards in Westinghouse

Competition, 476 Mathematics Staff in NSF's Education Directorate, 998 Mexican Mathematical Society's Twenty-Sixth National

Congress, 648 Moishezon, Boris, 1937-1993, 1220 Murasugi Receives MSJ Prize, 1366 NAS Prize to Holonyak, 335 National Academy of Engineering Election, 475 National Academy of Sciences Elections, 640 New Analysis Journal, 336 New Bank Address for AMS, 35 New Electronic Journal Available, 646 New NSF Director Named, 854 New Report on Assessment from MSEB, 156 News from the Center for Discrete Mathematics and

Theoretical Computer Science, 1368 News from the Center for Nonlinear Analysis, 477 News from the Centre de Recherches Mathematiques, 33 News from the Fields Institute for Research in the

Mathematical Sciences, 336, 644 News from the Geomet~ Center, 1222 News from the Institute for Mathematics and its Applications

(IMA), 34, 155, 644, 855, 1369 News from the Mathematical Sciences Institute (MSI), 155,

244,336,476,645,855,999,1223,1369 News from the Mathematical Sciences Research Institute

(MSRI), 156, 476, 645, 999 Nochetto Receives Landriani Prize, 641 NSF Adviso~ Committee Meeting, 477 NSF Awards Mathematical Sciences Postdoctoral Research

Fellowships, 852 NSF Awards Minority Graduate Fellowships, 853 NSF Graduate Fellowships Awarded, 853


--------··············································································································································-·····

NEWS & ANNOUNCEMENTS (Cont'd) NSF-CBMS Regional Conferences for 1994, 1370 Olga Taussky-John Todd Lecture Program, 1367 Prizes of the Mathematical Society of Japan, 642 Reduced Rates in AMS Health Plan, 245 Reduction in Charge for What's Happening, 647 Report on the Mathematical Preparation of Teachers, 32 Research Experiences for Undergraduates Awards

Announced, 153 Schafer Prize Winners Announced, 642 Siu Wins Bergman Prize, 473 Sloan Research Fellows Announced, 642 St. Petersburg Mathematical Society, 245 Staff at DoD Agencies, 998 Staff at the NSPs Division of Mathematical Sciences, 997 Summer Geometry Institute, 33 U.S. Wins Six Medals in Olympiad, 996 U/am Quarterly Available Online, 35 Voronezh Series on Global Analysis, 996 Wagreich Receives Education Award, 851 Wanted: Donated Books for Asia, 647 Xia Named First Recipient of Blumenthal Award, 1220 Zadeh Receives ASME Award, 1366 Zorn, M.A., 1906-1993, 640

OBITUARIES (See also Deaths of Members) Kemen~John, 1926-1992,193,243 Lehmer, Derrick Henry, 1905-1991, 131 Moishezon, Boris, 1937-1993, 1220 Zorn, M.A., 529, 640

OFFICERS AND COMMITTEE MEMBERS OF THE SOCIETY, 936

ORGANIZERS AND TOPICS OF SPECIAL SESSIONS, 43, 168,267,401,499,695,915,1078,1243,1435

PERSONAL ITEMS, 70, 193, 431, 529, 730, 947, 1095, 1265, 1461

PRESENTERS OF PAPERS, 250, 342, 351, 484, 659, 889, 900, 1007, 1022, 1232, 1381

PRIZES AND AWARDS 1992 Alfried Krupp FOrderpreis fOr junge Hochschellehrer:

Albrecht Bottcher, 1221 1992 AMS Steele Prizes: Jacques Dixmier, James Glimm,

and Peter D. Lax, 221 1992 Balzan Prize: Armand Borel, 850 1992 Inoue Science Prize: Akihiro Tsuchiya, 642 1992 MAA Carl B. Allendoerfer Award: Gulbank D.

Chakerian, David Logothetti, and Israel Kleiner, 243 1992 MAA George P61ya Award: William Dunham and

Howard Eves, 243 1992 MAA Lester R. Ford Award: Clement W.H. Lam, 244 1992 SSMA Excellence in Integrated Mathematics &

Science Award: Philip Wagreich, 851 1993 AMS Steele Prizes: Walter Rudin, George Daniel

Mostow, and Eugene B. Dynkin, 973 1993 Autumn Prize of the Mathematical Society of Japan:

Kunio Murasugi, 1366 1993 Charles Stark Draper Prize: John Backus, 1366 1993 Fermat Prize: Jean-Michel Coron and Denis Auroux,

851 1993 Geometry Prize of the MSJ: Tomoyoshi Yoshida, 642 1993 International Giovanni Sacchi Landriani Prize: Ricardo

H. Nochetto, 641 1993 Japan Academy Prize: Michio Jimbo, 642

Index

1993 MAA Carl B. Allendoerfer Award: Xun-Cheng Huang, 995

1993 MAA George P61ya Award: Lester H. Lange and James W. Miller, and Dana N. Mackenzie, 995

1993 MAA Lester R. Ford Award: Donald E. Knuth and Carsten Thomassen, 995

1993 Spring Prize of the Mathematical Society of Japan (MSJ): Shigeo Kusuoka, 642

1993 Stefan Bergman Prize: Yum-Tong Siu, 473 1993 Wolf Prize in Mathematics: Mikhael Gromov and

Jacques Tits, 335 1993 Wolf Prize in Physics: Benoit B. Mandelbrot, 640 AAAS Mentor Award: Abdulalim Abdullah Shabazz, 475 AAAS-Westinghouse Award for Scientific Journalism:

Richard Preston, 475 AAUW Grants: Elsa Newman, Rebekah Valdivia, and Janet

Woodland, 32 ACE Fellows: Catherine Folio and Richard E. Sours, 851 AMS Awards for Outstanding PME Student Paper

Presentations, 852 AMS Awards Prizes at the 44th International Science and

Engineering Fair, 643 AMS Centennial Fellowships: Jacques Hurtubise, Andre ·

Scedrov, and David Webb, 472 Balaguer (Ferran Sunyer i) Prize: Alexander Lubotzky, 474 Blumenthal (Leonard M. and Eleanor B.) Award: Zhihong

Xia, 1220 Brouwer Medal of the Dutch Mathematical Society: Laszl6

Lovasz,642 Fox (Leslie) Prize: First prize, Yuying Li; Second prize, Alan

Edelman, Des Higham, Zhongxiao Jia, Peixiong Lin, Roy Mathias, 1366

Franklin (Benjamin) Medal of the American Philosophical Society: Sir Michael Atiyah, 641

Fulbright Awards Announced, 336 Graduate Student Fulbrights Awarded for 1992-1993, 474 Guggenheim (John Simon) Fellowships Awarded, 642 Hay (Louise) Award: Naomi Fisher, 475 ILAS Hans Schneider Prize in Linear Algebra: Miroslav

Fiedler, Shmuel Friedland, and Israel Gohberg, 474 LMS Junior Berwick Prize: T.D Wooley, 851 LMS Junior Whitehead Prizes: D.J. Benson, P.B.

Kronheimer, and D.G. Vassiliev, 851 LMS P61ya Prize: D. Rees, 851 LMS Senior Whitehead Prize: B.J. Birch, 851 MAA Certificates of Meritorious Service: Edward Maurice

Beesley, Jack E. Graver, Harold W. Hager, Nobert J. Kuenzi, Jacqueline C. Moss, and Howard C. Saar, 244

MAA Chauvenet Prize: David H. Bailey, Jonathan M. Borwein, and Peter B. Borwein, 243

MAA Distinguished College or University Teaching of Mathematics Award: Robert V. Hogg, Anne Lester Hudson, Joseph A. Gallian, Frank Morgan, V. Frederick Rickey, Doris J. Schattschneider, and Philip D. Straffin, 244

MAA Merten M. Hasse Prize: Jonathan M. Borwein, Peter B. Borwein, and David H. Bailey, 995

MAA Yueh-Gin Gung and Charles Y. Hu Award for Distinguished Service: Henry 0. Pollak, 243

MacArthur (John D. and Catherine T.) Foundation Award: Demetrios Christodoulou, 850

Mathematics Projects Garner Awards in Westinghouse Competition, 476

NAS Award for the Industrial Application of Science: Nick Holonyak, 335


PRIZES AND AWARDS (Cont'd) National Academy of Sciences Award in Mathematics, 325 National Medal of Science: Martin D. Kruskal, 1366 NSF Awards Mathematical Sciences Postdoctoral Research

Fellowships, 852 NSF Awards Minority Graduate Fellowships, 853 NSF Graduate Fellowships Awarded, 853 Oldenburger (Rufus) Medal of the American Society of

Mechanical Engineers: Lotti A. Zadeh, 1366 Rollo Davidson Prizes: Gerard Ben Arous and Robin

Pemantle, 641 Schafer (Alice T.) Mathematics Prize: Catherine O'Neil and

Dana Pascovici, 642 SIAM Special Award: James G. Glimm, 995 Sloan Research Fellowships Announced, 642 Trjitzinsky (Waldemar J.) Memorial Fund: Cassandra Burns,

James Anthony Nunez, Juan Ramon Romero-Oliveras, and Julianne Stile, 153

U.S. Wins Six Medals in Olympiad, 996 Wilkinson Fellowship in Scientific Computing: Andrew J.

Conley, 851

PRIZE RECIPIENTS Atiyah, Sir Michael, 641 Auroux, Denis, 851 Backus, John, 1366 Bailey, David H., 243, 995 Beesley, Edward Maurice, 244 Ben Arous, Gerard, 641 Benson, D.J., 851 Birch, B.J., 851 Borel, Armand, 850 Borwein, Jonathan M., 243, 995 Borwein, Peter B., 243, 995 Bottcher, Albrecht, 1221 Chakerian, Gulbank D., 243 Conley, Andrew J., 851 Coron, Jean-Michel, 851 Dixmier, Jacques, 221 Dunham, William, 243 Dynkin, Eugene B., 975 Edelman, Alan, 1366 i=iedler, Miroslav, 474 Fisher, Naomi, 475 Friedland, Shmuel, 474 Gallian, Joseph A., 244 Glimm, James G., 222, 996 Gohberg, Israel, 474 Graver, Jack E., 244 Gromov, Mikhael, 335 Hager, Harold W., 244 Higham, Des, 1366 Hogg, Robert V., 244 Holonyak, Nick, 335 Huang, Xun-Cheng,995 Hudson, Anne Lester, 244 Hurtubise, Jacques, 472 Jia, Zhongxiao, 1366 Jimbo, Michio, 642 Kleiner, Israel, 244 Knuth, Donald E., 995 Kronheimer, P.B., 851 Kruskal, Martin D., 1366 Kuenzi, Norbert J., 244 Kusuoka, Shigeo, 642 Lam, Clement W.H., 244

Index

Lange, Lester H., 995 Lax, Peter D., 224 Li, Yuying, 1366 Lin, Peixiong, 1366 Logothetti, David, 243 Lovasz, Laszl6, 642 Lubotzky, Alexander, 474 Mackenzie, Dana N., 995 MacPherson, Robert D., 325 Mandelbrot, Benoit B., 640 Mathias, Roy, 1366 Miller, James W., 995 Morgan, Frank, 244 Moss, Jacqueline C., 244 Mostow, George Daniel, 974 Murasugi, Kunio, 1366 Nochetto, Ricardo H., 641 O'Neil, Catherine, 642 Pascovici, Dana, 642 Pemantle, Robin, 641 Pollak, Henry 0., 243 Preston, Richard, 475 Rees, D., 851 Rickey, V. Frederick, 244 Rudin, Walter, 973 Saar, Howard C., 244 Scedrov, Andre, 472 Schattschneider, Doris J., 244 Shabazz, Abdulalim Abdullah, 475 Siu, Yum-Tong, 473 Straffin, Philip D., 244 Thomassen, Carsten, 995 Tits, Jacques, 335 Tsuchiya, Akihiro, 642 Vassiliev, D.G., 851 Wagreich, Philip, 851 Webb, David, 472 Wooley, T.D., 851 Xia, Zhihong, 1220 Yoshida, Tomoyoshi, 642 Zadeh, Lotti A., 1366

RECIPROCITY AGREEMENTS (AMS), 732

REPORTS TO THE MEMBERS OF THE SOCIETY (See AMS REPORTS & COMMUNICATIONS)

SEMINARS AND INSTITUTES Call for Topics, 502, 698, 1250, 1442 AMS Summer Research Institute

1993: Stochastic Analysis, 50, 175, 272 AMS-SIAM Summer Seminar

1993: The mathematics of tomography, impedance imaging, and integral geometry 49, 174, 271

SHORT COURSES (See AMS SHORT COURSE SERIES),

SPECIAL MEETINGS (See MEETINGS AND CONFERENCES, OTHER)

STIPENDS FOR STUDY AND TRAVEL, 1098

SUMMER RESEARCH CONFERENCE SERIES (JOINT) Call for Topics, 502, 698, 1250, 1442 1993: University of Washington, Seattle, Washington, 47,

172 1994: Mount Holyoke College, South Hadley,

Massachusetts, 1246, 1438


SURVEYS 1992 Annual AMS-MAA Survey, Second Report, 601 1993 Annual AMS-IMS-MAA Survey, First Report, 1164 Acknowledgments, 610, 1168 Backlog of Mathematics Research Journals, 428 Bibliography, 61 0, 1171 Doctoral Degrees Conferred, 199Q-1991, Supplementary

List, 327 Doctoral Degrees Conferred, 1991-1992, Supplementary

List, 327, 1199 Doctoral Degrees Conferred, 1992-1993, 1180 Doctorates Granted.. 1165 Employment Status of U.S. New Doctorates, 1992-1993,

1165 Enrollment Profile and Undergraduate Majors, 607 Faculty Characteristics: Size, Age Distribution, Status, 604 Faculty Salary Survey, 1993-1994 Salaries, 1175 Graduate Student Profile, 607 Highlights, 601, 1164 New Doctorates, 1991-1992, Update of Survey, 602 Report on the 1993 Survey of New Doctorates, 1165 Salary Survey for New Recipients of Doctorates,

1992-1993, 1172

Differential Geometry Robert E. Greene and S. T. Yau, Editors Volume 54

Index

Sex, RaciaVEthnic Group, and Citizenship of U.S. New Doctorates, 1169

Statistics on Women Mathematicians, 935 Survey of American Research Journals, 1340 Update on the 1991-1992 New Doctorates, 602

SYMPOSIA Call for Topics, 502, 698, 1250, 1442 Mathematics of Computation 1943-1993: A half century of

computational mathematics, 52, 177, 274 Some Mathematical Questions in Biology

1993: Theories for the evolution of haploid-diploid life cyc1es, 51, 1' 70, -zrs, 4115

Symposium on Quantization and Nonlinear Wave Equations, 1440

TABLE OF CONTENTS, 1, 97, 217, 321, 457, 569, 777, 969, 1153, 1329

VISITING MATHEMATICIANS, 530 Supplementary Lists, 70, 193, 731, 947, 1095, 1461

WASHINGTON OUTLOOK, 637, 1364

These three parts contain the proceedings of the AMS Summer Institu University of California, Los Angeles, in July 1990. This was the largest wide-ranging and intense research activity in the subject. The parts contain m perspectives on relatively broad topics; these articles would be accessible to adv the authors of the research articles were encouraged to survey the relevant literatur ee parts together o the deepest and most comprehensive survey of recent research in differential geometry available today.

1991 Mathematics Subject Classification: 32, 53, 58, 81, 83 ISBN (Set) 0-8218-1493-1; ISBN (Part 1) 0-8218-1494-X; ISBN (Part 2) 0-8218-1495-8; ISBN (Part 3) 0-8218-1496-6 560 pages (Part 1); 655 pages (Part 2); 710 pages (Part 3) (hardcover), March 1993 Set: Individual member $155, List price $259, Institutional member $207 Part 1: Individual member $53, List price $89, Institutional member $71 Part 2: Individual member $58, List price $96, Institutional member $77 Part 3: Individual member $62, List price $103, Institutional member $82 To order, please specify PSPUM/54NA (Set), PSPUM/54.1NA (Part 1), PSPUM/54.2NA (Part 2), PSPUM/54.3NA (Part 3)

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Springer-Verlag announces a new undergraduate textbook publishing program

Textbooks in Mathematical

Sciences /.. .. ccording to the publisher, Jerry Lyons, there is no better time for this venture.

ei The most rewarding aspects of my textbook publishing career in mathematics, statistics,

and other areas of science have been defined by innovation and a willingness to find

ways of expressing new ideas in text form. With the various agents of change at work in

the mathematics curriculum, there is tremendous opportunity to extend this innovation

into virtually all undergraduate courses. The challenge to publish within the context

of emerging technology and a dynamic curriculum is both timely and exciting . . ~

The editorial program is being formed with the assistance of the following advisors:

Thomas F. Banchoff, Brown University

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Gaston Gonnet, ETH Zentrum, Zurich

Jerrold Marsden, University of California, Berkeley

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We will be pleased to discuss your textbook ideas and writing plans. Jerry can be contacted during the MAA/AMS meeting at the Springer-Verlag booth #27-33 or at:

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SPRINGER FOR MATHEMATICS

Second Edition J.W. VICK, University of Texas at Austin, TX

HOMOLOGY THEORY An Introduction to Algebraic Topology

An introduction to some of the basic ideas in the field of algebraic topology. in particular. the foundations and applications of homology theory. The topics include the essentials of singular homology and its applications, attaching spaces, finite CW complexes, the Eilenberg-Steenrod axioms, cohomology products, manifolds, Poincare duality, and fixed point theory. The approach is as illustrative as possible, including numerous examples and diagrams. It is suitable as a textbook for a course or for individual study. The only prerequisite is a basic knowledge of abelian groups and point set topology.

1994/248 pp. 78 illus.;Hardcover

$49.00/ISBN 0.387 ·9412&6 Graduate Texts in Mathematics, Volume 145

D.S. BRIDGES, University of Waikato, New Zealand

COMPUTABILITY A Mathematical Sketchbook

Aimed at mathematicians and computer scientists who will only be exposed to one course in this area, it provides a brief but rigorous introduction to the abstract theory of computation, sometimes referred to as recursion theory. It develops major themes in computability theory. such as Rice's theorem and the recursion theorem, and provides a systematic account of Blum's complexity theory, as well as an introduction to the theory of computable real numbers and functions. It is intended as a university text, or for self-study, with appropriate exercises and solutions.

1994/180 pp., 29 illus.;Hardcover

$34.95/ISBN 0.387 ·9417 4-6 Graduate Texts in Mathematics, Volume 146

Third, Enlarged Edition D. MUMFORD, Harvard University, MA, J. FOGARTY University of Amherst, MA, and F. KIRWAN, Bal/iol, Oxford, UK

GEOMETRIC INVARIANT THEORY Since the first edition was published in 1965 this book has been the standard reference on applications of invariant theory to the construction of moduli spaces. The mathematical community has been long awaiting this third, revised edition. It is now appearing in a completely updated and enlarged version with an additional chapter on the moment map by Prof. F. Kirwan and a fully updated bibliography of work in this area. It is a systematic exposition of the geometric aspects of the classical theory of polyr.omials.

1993/app. 320 pp./Hardcoverj$89.00

ISBN 0.387·56963-4 Ergebnisse der Mathematik, Volume 34

Forthcoming ..• LAWRENCE SIROVICH, New York, NY (Ed.)

TRENDS AND PERSPECTIVES IN APPLIED MATHEMATICS This will be the I OOth volume of the Applied Mathematical Sciences series. To mark the occasion, this special volume has been created which will impact in an important way upon the community that practices and is served by applied mathematics. Ten leading figures in the field were contacted to write their own perspective of applied mathematics. These articles bear testimony to both the vitality and diversity of the subject. The contributors include: V.I. Amol'd, Peter Constantin, Mitchell J. Feigenbaum, Martin Golubitsky, Daniel D. Joseph, Leo P. Kadanoff. Heinz-Otto Kreiss. H.P. McKean. Jerrold Marsden, and Roger Temam. As one of the earliest advisors for the Springer-Verlag mathematics program, Fritz John's contribution to the Applied Mathematical Sciences series has been exceptional. This volume appears in his honor.

1993/app. 400 pp., 77 illus.jHardcover

$49.00/ISBN 0.387·94201·7 Applied Mathematical Sciences, Volume 100

H. COHEN, University of Bordeaux, France

A COURSE IN COMPUTATIONAL ALGEBRAIC NUMBER THEORY One of the first of a new generation of books in mathematics that show the reader how to do large or complex computations using the power of computer algebra. It contains descriptions of 148 algorithms which are fundamental for number theoretic calculations, in particular, for computations related to algebraic number theory, elliptic curves. primality testing, lattices and factoring. For each subject there is a complete theoretical introduction. A detailed description of each algorithm is given allowing for immediate computer implementation. Many of the algorithms are new or appear for the first time in this book. A large number of exercises is also included.

1993/534 pp./Hardcoverj$49.00 ISBN 0.387·55640.0 Graduate Texts in Mathematics, Volume 138

Forthcoming ... R.A. HOLMGREN, Allegheny College, Meadville, PA

A FIRST COURSE IN DISCRETE DYNAMICAL SYSTEMS This book introduces the reader to topics in dynamical systems as well as to mathematical thinking. The authors emphasize those portions of mathematical analysis necessary for understanding the intricacies of a discrete dynamical system. The organizing principle is the development of an understanding of the parametrized family of functions h(x) = rx(l-x). The reader should have some background in calculus but an extensive background in proof based mathematics is not required. Students will learn to understand periodic points, stable sets, bifurcations, symbolic dynamics, and chaos. Included are rigorous proofs of important concepts in dynamics but is kept accessible to the typical advanced undergraduate student.

1994/app. 160 pages, 40 illus.jSoftcover

$29.00 (tent.)/0.387-94208-4 Universitext

D. COX, Amherst College; J. Little, College of the Holy Cross and D. O'Shea, Mount Holyoke College, all in Massachusetts

IDEALS, VARIETIES, AND ALGORITHMS An Introduction to Algebraic Geometry and Commutative Algebra

"This book fills a niche by providing a comprehensive yet easily accessible introduction to the most important concepts of computational commutative algebra. Written as an undergraduate text, the hook will probably become a standard reference work ... The subject matter itself is accessible, stimulating, increasingly applicable and substantial, and the authors have done it full justice in this volume ...

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1992/513 pp .. 83 illus.jHardcover

$39.95/ISBN 0-387·97847-X Undergraduate T9xts in Mathematics

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