OF THE

AMERICAN SOCIETY

Young Scientists' Network Advocacy and an Electronic Newsletter Ease New Doctorates' Job Search Woes page 462

DeKalb Meeting (M?Y 20-23) page 481

MAY/JUNE 1993, VOLUME 40, NUMBER 5

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 should be submitted on special forms which are available in many departments of went to press. The summer and annual meetings are joint meetings of the Mathematical mathematics and from the headquarters office of the Society. Abstracts of papers to Association of America and the American Mathematical Society. Abstracts of papers be presented at the meeting must be received at the headquarters of the Society in presented at a meeting of the Society are published in the journal Abstracts of papers Providence, Rhode Island, on or before the deadline given below for the meeting. Note presented to the American Mathematical Society in the issue corresponding to that of that the deadline for abstracts for consideration for presentation at special sessions is the Notices which contains the program of the meeting, insofar as is possible. Abstracts usually three weeks earlier than that specified below. Meetings ······R ••••*••asl¥1+1~ 11-1-m••• Abstract Program Meeting# Date Place Deadline Issue 882 t May 2G-23, 1993 DeKalb, Illinois Expired May-June 883 t August 15-19, 1993 (96th Summer Meeting) Vancouver, British Columbia May 18 July-August (Joint Meeting with the Canadian Mathematical Society) 884 t September 18-19, 1993 Syracuse, New York May 18 September 885 t October 1- 3, 1993 Heidelberg, Germany June 17tt September (Joint Meeting with the Deutsche Mathematiker-Vereinigung e.V.) 886 • October 22-23, 1993 College Station, Texas August4 October 887 • November 6-7,1993 Claremont, California August 4 October 888 • December 1--4, 1993 Merida, Yucatan , Mexico August 4 November (Joint Meeting with the Sociedad Matematica Mexicana) 889 • January 12-15, 1994 (100th Annual Meeting) Cincinnati, Ohio October 1 December March 18-19, 1994 Lexington, Kentucky March 25-26, 1994 Manhattan, Kansas April 9-10, 1994 Brooklyn, New York June 16-18, 1994 Eugene, Oregon August 15-17, 1994 (97th Summer Meeting) Minneapolis, Minnesota October 28-29, 1994 Stillwater, Oklahoma November 11-13, 1994 Richmond, Virginia January 4-7, 1995 (101st Annual Meeting) San Francisco, California March 24-25, 1995 Chicago, Illinois November 3--4, 1995 Kent, Ohio January 1G-13 , 1996 (1 02nd Annual Meeting) Orlando, Florida March 22- 23, 1996 Iowa City, Iowa • Please refer to page 499 for listing of Special Sessions. t Please refer to the Table of Contents for further information. tt This date is later than previously published. Conferences 1'*'' tf''' ¢t&IM """""

June 7-18, 1993: AMS-SIAM Summer Seminar in Applied Mathematics July 11-30, 1993: AMS Summer Institute on Stochastic Analysis, on Tomography, Impedance Imaging, and Integral Geometry, Mount Cornell University, Ithaca, New York. Holyoke College, South Hadley, Massachusetts. August 9-13, 1993: AMS Symposium on Mathematics of Computation June 23, 1993: Symposium on Some Mathematical Questions in 1943--1993: A Half-Century of Computational Mathematics, Biology on Theories for the Evolution of Haploid-Diploid Life Cycles, University of British Columbia, Vancouver, Canada. Snowbird, Utah. July 1G-August 6, 1993: Joint Summer Research Conferences in the Mathematical Sciences, University of Washington, Seattle, Washington. Other Events Cosponsored by the Society

May 3o-June 13,1993: First Caribbean Spring School of Theoretical Physics and Mathematics on Infinite Dimensional Geometry, Noncommutative Geometry, Operator Algebras, and Particle Physics, Pointe a Pitre, Guadeloupe. Cosponsored by the Societe Mathematique de France. July 11-15, 1993: Second World Congress on Neural Networks, Portland, Oregon. October 15-17, 1993: Second International Conference on Ordinal Data Analysis, University of Massachusetts, Amherst. Cosponsored by the University of Massachusetts, Technische Hochschule Darmstadt, and the Classification Societies of North America and Germany. Deadlines

September Issue October Issue November Issue December Issue Classified Ads* July 29, 1993 September 2, 1993 September 30, 1993 November 11 , 1993 News Items July 15, 1993 August 20, 1993 September 20, 1993 October28, 1993 Meeting Announcements•• July 19, 1993 August 20, 1993 September 23, 1993 November 2, 1993 • 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. OTICES OF THE AMERICAN MATHEMATICAL SOCIETY

DEPARTMENTS ARTICLES 459 Letters to the Editor 472 News and Announcements 462 Young Scientists' Network Advocacy and an Electronic Newsletter Ease 478 Funding Information for the New Doctorates' Job Search Woes Mathematical Sciences The Young Scientists' Network began when a physics postdoc realized that 479 For Your Information he and his colleagues faced a far worse job market than they had expected. Setting out to dispel the "myth" of a scientist shortage, he drew attention to 481 Meetings and Conferences of the plight of young scientists in the job market and started an electronic the AMS newsletter that's now mailed out to 2000 subscribers all over the world. Allyn DeKalb, IL Jackson reports on the progress of this fledgling organization. May 2~23, 481 Vancouver, British Columbia August 15-19, 494 FEATURE COLUMNS Syracuse, NY September 18-19, 495 Heidelberg, Germany 464 Computers and Mathematics Keith Devlin October 1-3, 497 Two reviews on the preparation of mathematical manuscripts make up this Invited Addresses and Special month's column. First, John Casti looks at DVIWindo, a Windows-based Sessions, 499 screen previewer, and DVIPSONE, a printer driver for TeX, setting his review Call for Topics, 502 in a more general discussion of TeX-fonts. David Hartz then reports on the 504 Mathematical Sciences Meetings latest version of MathType, Version 3.0. and Conferences 516 New Publications Offered by the 471 Inside the AMS AMS This month's column includes a summary of some new e-MATH initiatives 523 AMS Reports and for 1993: preprint services and an on-line version of CMP. Communications Recent Appointments, 523 Report of Council Meeting, 523 529 Miscellaneous Personal Items, 529 Deaths, 529 530 Visiting Mathematicians 531 New Members of the AMS 540 Classified Advertising 553 Forms

MAY/JUNE 1993, VOLUME 40, NUMBER 5 457 From the Executive Director ...

FURTHERING RESEARCH The principal purpose of the AMS is the furtherance of mathematical research and AMERICAN MATHEMATICAL SOCIETY scholarship. This is the mission of the Society, consistent with its founding in 1888 and specifically expressed in its articles of incorporation. As an organization, the Society has a responsibility to design its direction and activities to be accountable to this mission. How does the Society meet this responsibility? What are the goals and the specific activities that further research and scholarship? EDITORIAL COMMITTEE Individuals advance mathematical research and scholarship. Therefore the Society Sheldon Axler Amassa C. Fauntleroy should undertake activities that create an environment in which individuals can advance Robert M. Fossum (Chairman) mathematical knowledge and a culture that nurtures and encourages the development Susan J. Friedlander (Forum Editor) of individual talent. Carolyn S. Gordon Traditionally, the activities of the Society in support of its mission have revolved Carl R. Riehm around the publication of mathematical research and the sponsorship and organization of L. Ridgway Scott (Letters Editor) meetings and conferences. The original "call to mathematicians" establishing the Society MANAGING EDITOR was a request to organize meetings; shortly thereafter, publications of the presentations John S. Bradley and events of these meetings led to the publication program of the Society. Over time the mf!thematics community has looked to the Society for various sorts of information ASSOCIATE EDITORS about the mathematical sciences. The direction and activities of the Society, while Jeffrey C. Lagarias, Special Articles expanding considerably in volume, have remained basically the same. The Society has ASSOCIATE MANAGING EDITOR supported the furtherance of mathematical research and scholarship primarily through Allyn Jackson the communication of research mathematics. Today, dramatic changes SUBSCRIPTION INFORMATION are taking place in the way mathematics is done, in the uses of mathematics, Subscription prices for Volume 40 (1993) are in information distribution and exchange, in the role played by $139 list; $111 institutional member; $83 individ­ a publisher, and, in general, in the influence of technology on our daily lives. The ual member. (The subscription price for members Society provides a forum for the community to discuss the impact of such changes is included in the annual dues.) A late charge of on mathematical research and scholarship. With its strong collective representation, 10% of the subscription price will be imposed upon it is a venue for building consensus about which directions and actions need to be orders received from nonmembers after January 1 taken to respond to the changing environment. The AMS provides the organization and of the subscription year. Add for postage: Surface mechanism for the difficult task of identifying goals that further mathematical research, delivery outside the United States and lndia-$15; sifting through possible actions to achieve those goals, considering which actions make to lndia-$28; expedited delivery to destinations in the best use of resources, and evaluating the outcome of those actions. Indeed, direction North America-$32; elsewhere-$67. Subscrip­ and appropriate tions and orders for AMS publications should be actions to further mathematical research and scholarship do not happen addressed to the American Mathematical Society, by chance. P.O. Box 5904, Boston, MA 02206-5904. All orders During recent planning activity, the Society reaffirmed that publications and meet­ must be prepaid. ings help to advance interest in mathematical research and scholarship. It also was reasoned that this interest is served through advocacy, advancing the status of the pro­ ADVERTISING fession, and fostering an awareness and appreciation of mathematics. Furthermore, it Notices publishes situations wanted and classified advertising, and display advertising for publishers was recognized that the furtherance of mathematical research and scholarship is deeply and academic or scientific organizations. rooted in the connection of mathematics with its uses and with education. Publication and meetings activities are being closely examined to see how they can Copyright@ 1993 by the American Mathematical Society. All rights reserved. Printed in the United better serve the mission of the AMS. An active and broadened acquisition activity has States of America. been introduced into the publication program. The Society is acquiring more research monographs, has introduced a graduate text book series, and is publishing information The paper used in this journal is acid-free and falls within the guidelines established to ensure perma­ to bring awareness of research mathematics to a broad audience. The AMS Committees nence and durability. § Most of this publication on Science Policy and on Education have set forth plans and actions for the AMS was typeset using the TE;X typesetting system. regarding these critical areas. The Society will be actively engaged in speaking about mathematics in federal science policy matters and (Notices of the American Mathematical Society is in federal support of science and published monthly except bimonthly in May, June, technology. These plans include development of specific mechanisms to assist academic July, and August by the American Mathematical So­ departments of mathematics in planning and in working with their administrations on ciety at 201 Charles Street, Providence, Rl 02904- resource allocations, as well as actions directed at issues involving undergraduate and 2213. Second class postage paid at Providence, graduate student affairs. New "policy committees" have been formed on publications, Rl and additional mailing offices. POSTMASTER: meetings and conferences, and on issues of the profession to complement those that Send address change notices to Notices of the exist in science policy and education. These policy committees will take the long-range American Mathematical Society, Customer Service view and will recommend ways for the Society to carry out its mission. Specific plans Department, American Mathematical Society, P. 0. and activities of the Society may be found in its annual operating plans. Box 6248, Providence, Rl 02940-6248.] Publica­ · The furtherance of mathematical research tion here of the Society's street address, and the and scholarship requires moving in other information in brackets above, is a technical several different directions and taking numerous actions. The Society is pursuing this requirement of the U. S. Postal Service. All corre­ mission in an aggressive and broad, yet thoughtful, fashion. spondence should be mailed to the Post Office Box, William Jaco NOT the street address. Tel: 401-455-4000.

458 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY jobs in academia and are unprepared for will change the type of students we see Letters anything else. in graduate school. Many in the discipline (and seem­ Curtis D. Bennett to the Editor ingly the AMS) have been taking the The Ohio State University, younger mathematicians for granted. As Columbus a younger mathematician, I can say that (Received January 14, 1993) many of us are starting to come to grips Flat-Rate Research Funding with the fact that we will probably be It is hard to take seriously John Polk­ As a young American mathematician forced to leave the mathematical com­ ing's assertion that flat-rate funding by (Ph.D. 1990, University of Chicago), munity to find a job. Unfortunately, some the NSF would eventually lead to fewer let me say that I am disappointed in the of us are leaving with a bitter taste in our people being attracted into the mathe­ response of the AMS concerning the flat­ mouths left by the community's inatten­ matical sciences. The field cannot possi­ rate funding system for the mathematical tion to our problems. Some question the bly be made more attractive to newcom­ sciences. The opinion written by Robert good faith of those who continued to ers by supplementing the salaries of a Molzon (January 1993 Notices) gives decry the lack of Ph.D.s in mathematics few already well-paid, established math­ a good rebuttal to the "cheap science" at a time when the job market had many ematicians while making funding nearly arguments. I would rather discuss the more applicants than jobs. Were these impossible for a young mathematician issue raised by John Polking that the lack studies for the benefit of the mathemat­ with a promising but not yet completely of American citizens receiving Ph.D.s in ical community at large, or merely to developed research program. mathematics is linked to this issue. I protect funding? I hope the former, but Conrad Plaut believe these arguments are particularly many of us are unsure. I do not argue The University of Tennessee, damaging to the community at large. that the AMS should find us all jobs. I Knoxville First, let me give some of my back­ merely request that we be treated with (Received January 19, 1993) ground. Since completing my Ph.D. I respect. It does not help that the AMS spent two years as a research instruc­ uses the "need" for American Ph.D.s in I am writing in response to the essay by tor at Michigan State University, and John C. Polking opposing flat-rate fund­ presently I am an NSF postdoctoral fel­ funding battles that aren't likely to have ing by the NSF (Notices, January 1993). low at Ohio State University. The past much impact on the need, nor does it He seems to argue that shifting to a flat­ three years I have been on the job help that the AMS gives the appearance rate system will reduce the total amount market and have had exactly one offer of acting only for the "haves". of funding which is available, thereby (the research instructorship at Michigan With the change in the administra­ hurting the mathematical community as State). Moreover, at present I am seri­ tion, this is the ideal time to try to a whole. Since a flat-rate system is just ously considering leaving academe and change how mathematical research is another method for allocating a given my research specialty because of the dif­ funded. We are not like other scientists pool of resources, there is no reason to ficulty of providing for my family while and pretending that we are does not hel~ believe that if the mathematical com­ working in a series of temporary jobs us. Unlike chemistry or other sciences, munity continues to press for an overall with no end in sight. I am not unique. In we cannot see the end of a project nor increase in funds the method chosen for fact, I am one of the lucky ones. even tell where a result is likely to The most important issue to young lead. Moreover, mathematical research mathematicians and graduate students is which initially seems to have no bear­ Letters to the Editor ing on physics or chemistry often turns Letters submitted for publication in the Notices not NSF funding; it is the job market. are reviewed by the Editorial Committee. It seems unlikely to me that the flat-rate out (to everyone's surprise) to be very The Notices does not ordinarily publish com­ proposal will decrease the .number of useful to other disciplines. Thus, it is in plaints about reviews of books or articles, al­ the best interest of science to fund as though rebuttals and correspondence concerning jobs even in the long term, and cer­ reviews in Bulletin ofthe American Mathematical tainly it could not do so significantly. wide a range of mathematical research Society will be considered for publication. Moreover, I have known very few ca­ as possible and as many investigators Letters should be typed and in legible form or pable mathematics students who chose as possible. If the only way to get the they will be returned to the sender, possibly re­ sulting in a delay of publication. All published let­ other disciplines for monetary reasons, NSF to do this is flat-rate funding, then ters must include the name of the author. Letters and it is unlikely that a student whose it must be done. If not now, when will which have been, or may be, published elsewhere primary motivation is monetary will be we be able to affect how mathematics is will be considered, but the Managing Editor of the viewed by the NSF? If not this, what? Notices should be informed of this fact when the enticed into mathematics over engineer­ letter is submitted. ing until industry has an equal number There are limited funds; we must trade The committee reserves the right to edit let­ of job openings for mathematicians as something for broader research support. ters. for engineers at equal pay. On the other I do not say this plan is perfect, Letters should be mailed to the Editor of the Notices, American Mathematical Society, P. 0. hand, a sure way to scare students off but let us not pretend that we are the Box 6248, Providence, RI 02940, or sent by e­ of mathematics is to have a job sit­ same as other scientists, and let us not mail to [email protected], and will be ac­ uation where math Ph.D.s cannot find pretend that this too is a question that knowledged on receipt.

MAY/JUNE 1993, VOLUME 40, NUMBER 5 459 Letters to the Editor disbursing them will have any impact. now classifications in Math. Reviews.) such letter and will recall the blow to His comparison to the 1970s is not ap­ In my book Finite-Dimensional Spaces, one's ego it always brings. Of course propriate since he acknowledges that at Algebra, Geometry, and Analysis I have one can take the easy way out and speak that time mathematicians asked for less, tried to bring together several fields and vaguely of some standard not met or too not more, money. to clarify their basic concepts. The Bul­ big a backlog. On occasion I have done Further, I would like to challenge his letin never reviewed my book, perhaps that, but, whenever possible, I feel that assertion that this change in the funding because it did not pass the censors that an author deserves some explanation of system would hamper efforts to attract enforce "standard notation". the reasons for a rejection, if for no good students. As an advanced graduate The purpose of my rejected paper other reason than to help him see, in student, I find this argument carries no was not to present any deep "results" the opinion of the editor and referees, weight. When I was applying to graduate but to show how a variant of the con­ what might improve the content and/or school, I knew absolutely nothing about cepts of category theory introduced by the exposition of his or her papers. So if the intricacies of research funding-I Eilenberg and Mac Lane can be used to the referee's criticisms are specific and naively believed that I would get a Ph.D., improve the infrastructure of mathemat­ constructive, I try to let an author know get a job at a university, and that would ics in general and differential geometry what they are. In the case of your paper be my source of money. Even now, as in particular. Considering infrastructure, there was in fact a unanimous feeling I enter the job market, I do not have a however, appears to be against the party­ that the paper was too much about for­ good grasp of the Byzantine world of line of the mathematical establishment, malism and notation, without enough outside funding and its importance to which seems to prefer to continue in indication of how its reformulation of my career. Based on conversations with its present rut and be interested only old concepts in new and different termi­ other graduate students, I think that I in heaping "results" upon "results" in nology might be mathematically useful represent the norm. narrower and narrower "fields", to the and help to understand old ideas more David Cruz-Uribe, SFO exclusion of anything else. clearly. The comment I quoted simply University of California, Under the circumstances, I wonder stated this opinion in wording that I find Berkeley why I should continue membership in an in no way "insulting". (Received February 9, 1993) organization that is dominated by people Finally, let me address your more who are not willing to give a fair hearing general criticism of the state of mathe­ New Results vs. Exposition to my views of what mathematics is all matical publishing. I believe that there I recently submitted a manuscript for about. is a much wider spectrum of editorial publication to the Bulletin. It was re­ Walter Noll policy than your letter would suggest. jected with the following quote from Carnegie Mellon University As you point out, there are indeed many one referee: "One might tell him that el­ (Received September 8, 1992) journals where deep new results are the ementary results couched entirely in his sine qua non for acceptance, but I per­ own nonstandard notation won't be read Response from Richard S. Palais, sonally feel that is fine as long as these by anyone". I have had papers rejected Bulletin Editorial Committee: journals do not completely dominate the mathematical publishing landscape. before, but never with such insulting Dear Professor Noll, language. Looking around I also see a number of My complaint, however, is more I am truly sorry that you took of­ journals with editorial policies that do general. Mathematical journals will pub­ fense at some wording in my letter of encourage good exposition. I would of lish anything that contains "new results", July 24, declining to accept your paper course like to think that the Bulletin is especially "deep" new results, no matter "Isocategories and Tensor Functors" for one of these, and I assure you that I how obscure, incomprehensible, and in­ publication in the Research-Expository and my board of associate editors will significant outside a very narrow "field". Papers section of the Bulletin. On the continue striving to make this so. However, new perspectives, insights, other hand, I find it very hard to un­ RichardS. Palais ideas, and concepts, especially if they derstand how you can characterize the Brandeis University span more than one "field", have a very referee's comment that I quoted to you (Received September 15, 1992) hard time gaining respect. They tend to as in any way "insulting". It was in my be dismissed as "elementary", having view a quite matter of fact statement that An Agenda for the AMS "nonstandard notation", or being "just" summarized succinctly what this referee With the exception of an attitude ad­ about terminology, as if notation and ter­ and a number of other readers felt about justment needed at the NSF towards minology were not inextricably linked your paper. research funding for mathematics, there to concepts and hence not important. In It is never a pleasant task when an are two problems facing academic mathe­ my career I have been more interested in editor feels he must tum down some­ matical sciences departments that I be­ insights and concepts than in "results". one's paper. One knows that inevitably lieve are more relevant than the litany (Some concepts I introduced have be­ the author's feelings will be hurt. After of supposed woes claimed by the Ex­ come accepted; for example, "Constitu­ all, every editor has probably also been ecutive Director of the AMS, William tive Theory" and "Simple Materials" are on the receiving end of at least one Jaco, in his column in the September

460 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Letters to the Editor

1992 Notices. These are (1) the fierce in the Caribbean, I am trying to form with this statement, the AMS and the pressures to lower standards (all in the such a group which would relate to MAA have no business taking a political name of "good teaching" and "student the Caribbean basin, including Central stand on a nonmathematical issue, es­ retention", of course) in the undergradu­ America and the Guyanas. pecially an issue as volatile as this one. ate mathematics curriculum and thereby A major difficulty for those in the In my opinion, this resolution clearly to join the humanities' faculties who smaller countries in this region is that steps outside the bounds of propriety. have progressed far down the road of communications are on the whole good Such a political statement is unneces­ grade inflation, and (2) our insistence between a country and its ex-ruling sary; the meetings can be moved with­ on bringing social agendas to bear in power and poor laterally, especially if out taking an official stand that has the academics in general, and mathematics the languages are not the same. A young potential to alienate a significant number in particular. mathematician is often faced with a of individuals within the mathematical Many fine mathematicians, includ­ choice of remaining at home in relative community. Politicization of the AMS ing past presidents of the AMS along isolation and with very little recognition and the MAA should be avoided at all with a number of former and current or leaving to work in a country where costs if the two organizations are to keep council members, are among those push­ they feel marginal. If a regional grouping their focus on their true mathematical ing social agendas, while a seemingly could be achieved which would be able missions. infinite sequence of self-styled "teaching to pool resources this would be a very Although it may be too late to change experts" are aiding the forces of grade important step. A major aim would be the wording of this resolution, I hope inflation (and their o~n aggrandize­ to institute an annual conference for the that any other public statements by the ment), publishing such condescending, entire region. Other less conspicuous organizations regarding this issue can be self-righteous baloney as the "NCTM tasks could be the donation of books and made in a politically neutral manner. I Standards" and "Everybody Counts". journals. also hope that in the future more care Of course, the two problems are also I have already received positive will be taken regarding such issues. fueled by the voracious appetite that feedback on this idea. I am appeal­ Bryan Dawson modem universities have for money. It ing to those members of the Society Emporia State University is my hope that many of us with seniority who would be interested in being part of (Received January 29, 1993) and heavily involved in research will (at such a group to communicate with me. It least) quietly resist these pressures and would be especially useful if those who will also help stifle the lather much of are either from the region or who have Editor's Note: Following is a re­ the Society has worked itself into over lived in it could contact me. sponse from Ubiratan D'Ambrosio to things (see Jaco's column) better left to Ken Johnson the letter from William Waterhouse that individuals. The Pennsylvania State University, appeared in the April 1993 issue of the Wilbur Whitten Ogontz Campus Notices, p. 324. The University of 1600 Woodland Road Southwestern Louisiana Abington, PA 19001 USA Ethnomathematics (Received February 1, 1993) Telephone: 215-881-7580 [I have] [n]o quarrel with Professor Wa­ e-mail: [email protected] terhouse in this forum. I only regret that Helping Mathematicians (Received January 25, 1993) in Developing Countries in this Notices article I cut what I have While we are going through difficult AMS and MAA Motions on Denver been writing in most of my papers, refer­ times in this country, those in countries I am writing to express my disappoint­ ing explicitly to an "etymological abuse" with less resources are in much more ment with a resolution passed by the used in coining the word ethnomathe­ desperate circumstances. In an article governing boards of the AMS and the matics. The root mathema (mathemata) published in these Notices in Novem­ MAA regarding a possible change in is indeed a difficult one. The abuse, en­ ber 1991, Neal Koblitz sumniarized the venue for the 1995 annual meetings. couraged by consulting P. Chantraine's plight of mathematicians in developing First, let me say that after discussing Dictionnaire Etymologique de la Langue countries and also suggested ways in the issue with Michael Artin, Marcia P. Grecque, was induced by trying to rec­ which members of the Society can help Sward, and others at the San Antonio ognize mathematics in the complexity them. The problems faced by mathe­ meetings, I understand the decision to of Greek thought. It is clear that this ety­ maticians in nonmetropolitan countries try to move the meetings, and I am not mological abuse implies challenging the seem to be specific to the regions in opposed to such a change. accepted interpretations of Greek math­ which they live. Neal suggested to me My disappointment in the matter ematics. Indeed, this is the intention. that it would be appropriate to form stems from the wording of the reso­ Ubiratan D'Ambrosio groups which would attempt to help lution. The resolution states that the State University of Campinas, particular regions. Since I have had actions taken by the voters in Colorado Brazil the experience of living and teaching were "wrong". Whether or not we agree (Received March 29, 1993)

MAY/JUNE 1993, VOLUME 40, NUMBER 5 461 Young Scientists' Network Advocacy and an Electronic Newsletter Ease New Doctorates' Job Search Woes

Back in 1990 Kevin Aylesworth started worrying. A physics join or to subscribe to the Digest. postdoc at the Naval Research Laboratories in Washington, Although there are a few job postings in the Digest, it is DC, he wondered what he would do when his two-year not a job listing service. Most postings seek or give advice, position ended-especially when he started talking to other provide information, or tell a personal story. A recent posting postdocs who were just finishing up. Despite publicity about a described the difficulties of a young postdoc who wondered if "scientist shortage" that was supposed to hit in the 1990s, these she could publish her research results on her own, without her people were having trouble finding jobs. "What surprises me laboratory supervisor's name on the paper-evidently he was most is that even those young people with outstanding research ignoring her results, which were intriguing, and diverting her to records are having difficulty finding permanent employment," other, less interesting projects. Another posting on affirmative Aylesworth wrote in a letter to the editor in Physics Today. action prompted a heated debate and requests to hold down "This situation has also come as a surprise to many of my the "flaming" (in YSN, to be "flamed" means to be castigated peers, who entered graduate school six or more years ago or insulted on the network for one's posting; there are also when the employment situation appeared to be much brighter." references to putting on and taking off an "asbestos suit" to Now, just four years after finishing his doctorate, Aylesworth let readers know when a particularly inflammatory opinion has left physics and works as a legal assistant in Cambridge, is coming up). There have been discussions of the merits Massachusetts. Like many of his colleagues, he couldn't find and demerits of the Superconducting Supercollider, President a job in his field. Clinton's plans for support of science, the particular problems Before he left science Aylesworth decided to try to do women face in science, the possibilities for employment something about the "myth" of the scientist shortage and to in industry, and the legality of discrimination in hiring at focus attention on the poor job market. Aylesworth founded religious academic institutions. the Young Scientists' Network (YSN), an informal network In addition to publishing the Digest, YSN has worked to that provides advocacy for new (though not necessarily focus high-level attention on the poor job market young people young) scientists. Its goals are ( 1) to let the press, the public, face in science. Aylesworth has brought YSN concerns to the and government officials know that there is no shortage of attention of the upper echelons of the Office of Science and scientists-there is, in fact a glut; and (2) to discuss how Technology Policy, the National Science Foundation (NSF), young scientists can find both traditional and nontraditional and the American Physical Society (APS). Last year he worked careers despite the oversupply of scientists and engineers. with Congress to help expose flaws in a much-vaunted NSF The activities of YSN have been covered by American Public study predicting an impending shortage of scientists; in the Radio, the Chronicle of Higher Education, the Electrical late 1980s this study was used by former NSF director Erich Engineering Times, and Science magazine. Bloch to argue for large increases for the Foundation. After One of the main activities of YSN is its electronic a petition drive YSN now has enough signatures to put four newsletter, the YSN Digest, through which young scientists YSN candidates on the ballot for the upcoming elections in all fields can exchange information on just about anything for officers of the APS. The group seems to be shaping up that newcomers to science might be wondering about: job as a significant political force, particularly in the physics hunting, salaries, federal research support, affirmative action, community. problems with advisors. John Sahr of the electrical engineering There have been some reservations about the fact that department at the University of Washington in Seattle is the YSN encourages "whining" by people dissatisfied with their editor of the Digest, which is sent out six times a week. job prospects (and a certain amount of whining inevitably He gets help from a couple of other editors who produce a takes place in the Digest). A number of postings have exhorted shorter, moderated version of the Digest. Subscriptions have YSN members to "get real" about their prospects in the job risen steadily, from about twenty in July 1990, to around 180 market and not expect that they are automatically entitled to about a year ago, to nearly 2000 as of March 1993. YSN a job just because they've finished a Ph.D. But most of the is run entirely by volunteer efforts, and there are no dues to subscribers seem to appreciate the completely open format in

462 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Young Scientists' Network which people can vent their frustrations and get some support. of a couple of interviews for permanent positions. As he put Many have taken solace in knowing that they're not the only it, "Although my job search is far from over, my spirits are ones having trouble finding a job. decidedly more upbeat." In a recent posting one subscriber described how YSN To have information about YSN sent to you automatically, had helped him when the "stigma of failure" began to drain send an electronic mail message with the subject line "help" his enthusiasm and creativity. "I spend so much of my time or "send info" to: [email protected]. You alone working on my dissertation or my job search that I can subscribe to YSN automatically by sending a message know my computer better than my own family," he wrote. with the subject line "subscribe"; to unsubscribe, use the "I'm not around other grad students much and, in my line subject line "unsubscribe". If you have general questions of research (MRI), I spend a lot of time doing experiments about YSN, write to the editor of the YSN Digest, John (alone) during off-hours in the bowels of an inner-city hospital Sahr, [email protected]. Sending a message (across the hall from the morgue). I almost lost my enthusiasm to the address [email protected] broadcasts the for research altogether (not to mention my self-esteem) in the message to the entire YSN membership. Back issues of the face of this sacrifice. The personal accounts subscribers post Digest are available through anonymous ftp to lupulus .ssc.gov, in YSN have done a lot to quiet my frustrations and soothe cd lysn. my anxieties." Most importantly, he says he's had a couple of interviews, has received one offer, and sees the prospect Allyn Jackson

Edgar Lee Stout and Alexander Nagel, Editors Volume 137

This volume contains the proceedings of a Symposium on Complex Analysis, held at the University of Wisconsin at Madison in June 1991 on the occasion of the retirement of Walter Rudin. Among the main subjects covered are applications of complex analysis to operator theory, polynomial convexity, holomorphic mappings, boundary behavior of holomorphic functions, function theory on the unit disk and ball, and some aspects of the theory of partial differential equations related to complex analysis. Containing papers by some of the world's leading experts in these subjects, this book reports on current directions in complex analysis and presents an excellent mixture of the analytic and geometric aspects of the theory.

1991 Mathematics Subject Classification: 30, 32; 42, 47 ISBN 0-8218-5147-0, 478 pages (softcover), October 1992. Individual member $29, List price $49, Institutional member $39 To order, please specify CONM/137NA

$~'"'''"~'" $_."'ro'"",:& :& All prices subject to change. Free shipment by surface: for air delivery, please add $6.50 per title. Prepayment required. Order from: ~I ~ ~ @ 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. ·~0 "'b.,· UNDED \

MAY/JUNE 1993, VOLUME 40, NUMBER 5 463 Computers and Mathematics

Edited by Keith Devlin

Editorial policy ...... "'lllllllllllllllllillllllllllllllillllllllllllllillllllllllllllillllllllllllllillllllllllllllilllllllllllllliiiiiiiiiiiiB""""""""""""""""""""""""""""""··········· People sometimes ask me what is the criterion used in accepting software reviews for publication in this column? How do I, as editor, evaluate the Reviews of Mathematical Software "impartiality" of the reviewer? The simple answer is I do not try to make such an evaluation. I am not even sure it is possible--ever; the very phrase "impartial review" strikes me as an oxymoron. What I do ask is that a reviewer puts on record, displayed prominently in the review or in the reviewer footnote that accompanies each review, any fundamental preferences for particular kinds of software, and any Bitmap-free 'lEX affiliation, either present or past, with a developer of software similar to, or in competition with, the software being reviewed. Reviewed by John L. Casti* In the case of comparative reviews the reviewer should also make Devotees of DOS and OS/2 notwithstanding, it's becoming· clear any inequalities of experience between the systems being consid­ ered. ever more clear that the marketing muscle of Microsoft is Beyond that, and a general request to strive for fairness, it is up to turning Windows into the graphical-user interface (GUI) of the reviewer. The final editorial decision is, in principle, a simple one. the foreseeable future. Trying to ignore this development is If the review seems likely to be of benefit to readers of the Notices it is like trying to ignore a Tyrannosaurus rex. In fact, even in the published. I take it that Notices readers are a particularly well-educated cloistered world of '!EX aficionados this message seems to be bunch, more than capable of judging the value of a particular review, finally getting through. as long as they know where the reviewer is coming from. As column DV/Windo is a Windows-based screen previewer for editor, I see my role as a conduit, not a filter. The only filtering that is done is when a reviewer reports that a particular piece of software is so viewing '!EX DVI files created by any standard implementation poorly designed or badly written that it seems unlikely to be of use to of '!EX. The program uses outline font rendering technology, anyone, then the column contains no mention of that package, at least suitable for on-screen display in Windows 3.x running in in its form at the time. Thus the column does not publish completely either standard or enhanced mode. As a result, the program negative reviews. must be run on a machine having at least an Intel 80286 Of course, just as I ask reviewers to make their own position clear, processor. DV/Windo, together with its companion Postscript the column editor should, from time to time, explain the editorial policy printer driver discussed below, is marketed by Y &Y, Inc., 106 concerning reviews. I just did. Indian Hill, Carlisle, MA 01741, 508-371-3286. Since both of these programs call for fonts used in the 'lEX DVI file to be available in outline form, let me preface this review with a few words about font formats. Consider the character lowercase "a" in a particular typeface like Computer Modem Roman ( cmr) at a particular This month's column Two reviews on the preparation of mathematical manuscripts make up point size, say 1Opt. To print or see this character in a '!EX this month's column. First, John Casti looks at DV!Windo, a Windows­ document, there must be a file for the font cmr10 that contains based screen previewer, and DVIPSONE, a printer driver for 'lEX, setting this character. There are two completely different philosophies his review in a more general discussion of 'lEX-fonts. David Hartz then as to how to create this font file: bitmap and outline (or vector) reports on the latest version of MathType, Version 3.0. format. Editor's address: Typical 'lEX installations keep the font files as bitmaps. In this format, the character "a" is represented by a rectangular Professor Keith Devlin Department of Mathematics and Computer Science • Professor John L. Casti is a researcher at the Santa Fe Institute in Santa Colby College Fe, New Mexico, and a professor at the Institute for Econometrics, Operations Waterville, Maine 04901 Research, and System Theory at the Technical University of Vienna. He is the author of many books on mathematics, including Alternate Realities, published Correspondence by electronic mail is preferred, to: by Wiley in 1989. He can be reached by e-mail at [email protected] or at kjdevlin @colby.edu. [email protected].

464 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Computers and Mathematics grid in which the appropriate cells are either "on" (black) higher resolution screen drivers become more readily or "off" (white). Thus each character in the font is stored available. as a grid (raster) of this type, with the entire collection of • Graphics insertions: One of the biggest drawbacks to 1FX characters forming the font file (cmr10 in this case). The size is the clumsy manner by which graphics files are inserted (i.e., resolution) of the grid is chosen to be compatible with into documents by the 1FX \special command. This the output device, typically 300 or 600 dots per inch (dpi) unhappy situation is further compounded by the fact that for home laser printers and 118dpi for screen previewing. there is no standard way of doing this. As a result, most It's clear from even this cursory description that if you want device drivers have their own characteristic way of using to have access to a lot of typefaces at many different point the \special command to insert graphics files. DV/Windo sizes, you're going to have to have a lot of these individual allows the user to employ any of the ten most popular of rasters stored somewhere on your system. Moreover, if you these insertion routines for including Postscript graphics want to do funny things with the characters like rotate them, files. Moreover, if the graphic includes a low-resolution fill them in with a pattern other than pure black, or place TIFF header file, DV/Windo will display this graphic in shadows behind them, then you must create a completely the preview, allowing the user to see how the actual figure new raster for each special effect. In essence changing an will appear when printed at higher resolution. existing character this way effectively creates an entirely new • Text shaping: Sometimes it's useful to be able to see how character insofar as bitmap representations are concerned. the text is laid out on the page without wanting to see Outline fonts do away with all these storage and character each individual character. This is often the case when, for manipulation difficulties. example, you want to balance out the length of text on The philosophy behind outline fonts is to represent each two pages that are to be viewed side-by-side or when you character in a given typeface by a mathematical formula. just want to quickly check for orphans and widows (single This formula expresses the outline of the character. Thus, for lines appearing at the top or bottom of a page). DV/Windo example, there is one and only one formula for lowercase "a" allows the option of doing this, which as' a by-product in the typeface cmr, and similarly for each character in any greatly reduces the amount of time needed for Windows other typeface. So if you want that character at lOpt, 12pt, to compose the page. or 11. 723pt, you just apply the appropriate scale factor to the • Font information: Suppose you're debugging a file and standard formula for the character. In short you can scale and want to know what font 1FX thinks you're using. With rotate a character simply by manipulating its mathematical DV/Windo it's a snap to get such information. Just call up representation. Moreover, the other effects noted above can the Font Information window and click on the character also be easily implemented by using the same formula. So, in question. You can also go the other way around: click in summary, by moving to outline fonts you not only save on a particular font in the Font Information window, and on computer storage, but you gain enormous flexibility in the the program will immediately highlight every character types of effects you can introduce into your 1FX document. on the page that's typeset in that font. This capability is Now back to DV/Windo. especially useful when a document uses a lot of fonts at The DV/Windo package provides the 1FX user with what similar point sizes and you want to make sure that 1FX is can only be described as the "Cadillac" of screen previewers. using exactly the right font at the right place at the right In fact this previewer has so many nice features that it's size. almost worth installing Windows to use it-even if you have • Color-coded rules and fonts: If you're previewing on no other need for this kind of GUI. For reference the figure a color monitor DV/Windo supports some pretty special on the following page shows a typical page of math as it \special commands of its own. These allow you to might be previewed on your screen in DV/Windo. In addition add color to a document's fonts and rules. This added to the features one has come to expect from any decent 1FX capability can come in handy if, for instance, the document previewer-zooming in and out, string search capability, page is something like a technical manual that's only intended to skipping, two-up viewing, and page borders-here we find be viewed on screen. Of course, the utility of color-coding a plethora of additional features found in few, if any, of the elements in this way may be of great value if you happen other previewers I've exarni~"~d. Let me list just some of these to have a color Postscript printer sitting around the office. additional features. In either case DV/Windo is the only 1FX screen driver I know about that allows you to liven-up your file with • Storage requirements: To give some idea of the storage splashes of color. requirements involved with bitmap versus outline fonts, a • Ruler: Sometimes it's desirable to be able to measure on typical'IFX installation requires between 10 and 20 million the screen exactly how much space is needed to move bytes of hard disk space to store all the Computer Modem some block of text or a figure in order to get it placed "just fonts in bitmap format at various sizes and resolutions. right". DV/Windo includes a very convenient scheme for By way of comparison, the complete set of seventy-five making precise measurements of horizontal and vertical Computer Modem fonts in the industry standard Adobe spacing on the screen, a feature that other previewers have Type 1 format occupy only around 2 million bytes; this also implemented, but not with the high-resolution scale comparison can only get worse as 600dpi printers and available with DV/Windo.

MAY/JUNE 1993, VOLUME 40, NUMBER 5 465 !

T eX output 1992.07.19:2135

ite the triple product using Fonts .Landscape ·d· • j)d• Bytes t = r · Qiln = r• · Qil• * = q . *. r z • • • Mlignificlition Grey Text ~ t* = -t and f* = -r, since rand t t.48X Height+ Depth C5 m Text+ Gre~ t.48X Width en , we obtain 0 t.48X Stlick Depth "T1 Reset Scale Each -1 file I DVIVersion m Reset Scale Each fage 1 t = rq. dt 1 > Sclile Numerlitor 3: m Ruler Dimensions Irue :IJ of the components of q = (q, !I)and di Sc~le,~~nominlitor I f Draw fage Border ~ [ z Draw Text Outline

• Windows Clipboard: As Windows becomes more and to a high-resolution phototypesetter. That very same file can more a de facto GUI standard, an ever-increasing number also be used for on-screen previewing (with DVIWindo) at of users will make use of other Windows document­ arbitrary magnification. processing programs. DVIWindo allows you to select Another feature of major importance built in to DVIP­ particular portions of a given 1FX page and copy it to SONE is partial font downloading. In documents calling for the Windows Clipboard, where it can then be imported many fonts this can reduce the size of the Postscript file by "as is" into programs like Microsoft Word. One way to a factor of between 4 and 8. Thus the time needed to copy use this capability, for example, would be to create the the file to the printer is greatly reduced, as is the likelihood textual material of your document in Word, then use the of running out of virtual memory space on printers with small unparalleled mathematical typesetting capability of 1FX memories. to typeset equations or other mathematical objects. These As with DVIWindo, DVIPSONE also supports the ten most equations could then be previewed in DVIWindo, from popular schemes for inclusion of Postscript graphics via the which the Clipboard capability could be used to transfer 1FX \special command. them into the target document. A somewhat more technical, yet still extremely important, • Changes in the TF}( source file: DVIWindo notices when feature of DVIPSONE is that there is no approximation of a DVI file changes and redisplays it. This feature allows coordinates. Consequently, positioning of characters and rules you to edit the 1FX source file in one window, while will be as accurate as the output devices allow. showing the typeset page in another. With this capability There are other attractive advantages to using DVIPSONE the much-ballyhooed but vastly overrated WYSIWYG as a printer driver too, including the fact that the program gets ("what you see is what you get") features of competing all of its font metric information directly from the outline font programs disappear like a trickle of water in the desert. itself. This means that the program has no need at all for the Besides, no serious 'IFX' er needs WYSIWYG anyway. 1FX TFM files. A seemingly minor point, right? Yes, but it WYSIWYG is for wimps! can quickly become a major advantage if, for example, there OK, I think you get the idea. I'm a fan of DVIWindo and is a mismatch between the TFM file used at an author's home I think you will be too, once you try it. But for the sake of base for creating a DVI file and the TFM file used by the DVI completeness there is one minor annoyance that should be printer driver at a service bureau that's processing the file on pointed out. a high-resolution imagesetter. Such mismatches cannot occur The principal nuisance feature of DVIWindo is the lack with the output produced by DVIPSONE. of any on-screen Help. While the manual is excellent and I should add in closing this discussion of the printer driver the number of commands pretty small, it's still awkward to that DVIPSONE can be used in conjunction with DVIWindo have to thumb through the manual when you forget the exact to print directly from the previewed file in Windows. This combination of keystrokes and mouse clicks needed to execute procedure allows the user to bypass the notoriously slow and a seldom-used command. Besides, on-line Help is almost de inefficient Windows Postscript printer driver, wheeling in the rigueur in genuine Windows applications nowadays, in any vastly superior routines built in to DVIPSONE. The speedup in case. printing by using DVIPSONE instead of the generic Windows This is really a complaint of little consequence when driver is truly astonishing. It's just a pity that DVIPSONE measured against the many sterling features of DVIWindo so I can't be used for printing other types of files from Windows won't belabor it. Let me now move on to consideration of the as well. printer driver DVIPSONE, which in many ways is the direct To summarize, if you're using Type 1 outline fonts and 1FX complement of the screen previewer. then DVIPSONE is the printer driver of choice, independently of whether or not you're also using DVIWindo as a previewer. Printing in Style It's quite simply the most efficient, flexible, and sophisticated Screen previewing is one thing; printing is something else printer driver available for creating Postscript output from 1FX DVI files. again. The fact is that about 99 1~% of all 1FX jobs are ultimately destined to be presented in hard copy. So whether Since both DVIWindo and DVIPSONE are designed to be you're creating a short letter or a multivolume technical used with outline fonts, let me close this review as it began treatise, it all boils down to how fast you can get a nice-looking with a short consideration of an alternative to the standard hard copy out of your printer. This is whereDVIPSONE comes Computer Modem fonts normally used for 1FX documents. into play. DVIPSONE is a DOS-based printer driver that produces Fonts, Fonts, and More Fonts resolution-independent, page-independent Postscript output Probably 'IFX's biggest advantage over other typesetting from 1FX DVI files. Like DVIWindo, this printer driver is also software is its ability to set technical material, especially designed to use any outline font that can be rendered in Adobe mathematics. This poses a real dilemma for users who Type 1 format, although in a pinch the program also admits the want to make use of typefaces other than the 1FX default possibility of using bitmapped fonts too. DVIPSONE realizes standard, Computer Modem. The problem is that the fonts the dream of real device independence: the same file used used for text and those used for mathematical material have for proofing on a low-resolution laser printer can be sent to "fit together" somehow in an aesthetically pleasing way.

MAY/JUNE 1993, VOLUME 40, NUMBER 5 467 Computers and Mathematics

Recognizing this fact, the designers of Computer Modem There is a second alternative to Computer Modem as well. created two completely separate classes of complementary This is a version of the 'lEX math fonts done in Times Roman fonts--one for text, the other for math. Unfortunately (for by 'IEXplorators, Inc., 1572 West Gray, #377, Houston, TX 'lEX users), until recently no other typeface was available in 77109-4948,713-524-5515. TheMathTime outline fonts from fonts that could serve this dual purpose. But the times they this firm offer Times Roman versions of the 'lEX math italic, are a changin'. symbol, and math extension fonts that can be combined with In recent years publishers have become increasingly the standard Adobe Type 1 Times Roman fonts that come reluctant to use Computer Modem since this typeface has "hardwired" into just about every Postscript printer. For the become almost a cliche in books typeset using 'lEX- Moreover, sake of comparison here is the test passage in Times Roman: many users have also become dissatisfied with the rather spindly-looking appearance of the Computer Modem font, This is a very short test, to make sure the program is working cor­ longing for a decent alternative. Responding to this demand, rectly. This paragraph starts flush left, and shows the appearance the firm of Bigelow and Holmes undertook the task of of bold face type. designing an entirely new typeface for 'lEX users. The end This paragraph is indented, and shows the appearance of result is the Lucida family of Type 1 outline fonts, which italics. It contains the math formula zn + xn = yn. Such a consists of the two families Lucida Bright and Lucida New formula might also be displayed Math. Taken together, these families contain almost all the characters in all the commonly-used Computer Modem fonts, along with several new characters not available in the CM family. to make it more prominent. The text fonts in the Lucida Bright family are now being Again, the difference with Computer Modem is striking. used to set Scientific American magazine, so the reader may While a choice of typeface is a pretty subjective thing, already be familiar with them without knowing it. To see the Times Roman version would definitely get my vote for the difference explicitly, here are two passages of text and typesetting a math book or a long paper. In fact I recently saw mathematics done in Computer Modem and in Lucida. Here phototypesetter proofs of a topology book the 'IEXplorator is the Computer Modem version: people are producing, which showed that at high resolution This is a very short test, to make sure the program is work­ these fonts look every bit as good as the best mathematical ing correctly. This paragraph starts flush left and shows the typesetters anywhere in the world can produce. appearance of bold face type. But as always in life, there's good news and bad. The This paragraph is indented and shows the appearance good news about the MathTime fonts is that there is a very of italics. It contains the math formula zn = xn + yn. Such well-written, informative 42-page manual telling you how to a formula might also be displayed install and use these fonts in 'lEX documents. The bad news is that it takes a 42-page manual to give you all the necessary information. This could be more than a bit of a bother for many users, especially those not pretty familiar with the intricacies to make it more prominent. of 'lEX computer installations. Let me add here, though, that Y & Y also offers a font utilities package containing very Now here's the same passage in Lucida: convenient batch files enabling users of MathTime fonts to This is a very short test, to make sure the program is convert them to forms suitable for use with these drivers. working correctly. This paragraph starts flush left, and Believe me when I say that these utility programs take most shows the appearance of bold face type. of the pain out of using these fonts. This paragraph is indented, and shows the appear­ A good part of the difficulties in setting up and using the MathTime fonts can be attributed to the twin facts that the ance of italics. It contains the math formula zn = x n + yn. Such a formula might also be displayed 'IEXplorator fonts are not Adobe Type Manager compatible, which makes them awkward to use with some applications like Windows, and that unlike the Lucida Bright font set, they are not a complete replacement for Computer Modem. to make it more prominent. By this I mean that in order to have a complete and total set of Times Roman fonts to replace Computer Modem, you See the difference? have to buy some special font sets from Adobe Systems, then The Lucida passage is somewhat "heavier" than Computer put them together with the text fonts in your printer and the Modem, which prevents it from looking so spidery on high­ math fonts from 'IEXplorators. So the overall installation is resolution phototypesetters. Moreover, the large x-height and complicated and the expense nontrivial. But if it's elegance low contrast between vertical and horizontal stems ensures and aesthetically pleasing results you're after, it's hard to beat that Lucida fonts also render well at low resolution. These the old reliable Times Roman typeface, and 'IEXplorators have fonts are also available in fully-hinted, Type 1 outline format finally made it available to the mathematically-inclined 'lEX from Y & Y, Inc. user.

468 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Computers and Mathematics

The Bottom Line By way of summary it's useful to compare the two 1FX dri~er packages discussed here with another 1FX package us~ng MathType 3.0 outline fonts. This is the program called Vector TJ!l(, which Reviewed by David Hartz* was reviewed in these pages a couple of years ago [1]. This package is the product of MicroPress, Inc., 68-30 Harrow MathType 3.0 is an equation editor for the Macintosh that Street, Forest Hills, NY 11375, 718-575-1816. On the one enables the user to create mathematical formulas in MathType hand, Vector 1'E}( is a complete outline font implementation and then paste the formulas into a word processor or other type of '!FX, containing not only output drivers for screen and of WYSIWYG document or to generate the 1FX code for the printer, but also a 1FX typesetting program .. On the downside, expression for pasting into a 1FX document. The producer of however, is the fact that Vector TJ!l( uses a highly-nonstandard MathType 3.0, Design Science, 4028 Broadway, Long Beach, format for storing the outline fonts. As a result, users cannot CA 90803, 800-827-0685, also has a version of MathType for employ the industry standard Adobe Type 1 fonts with Windows and has licensed Microsoft to package a simplified Vector 1'E}( (although there is a utility program available so version of MathType, called Equation Editor, with Word 5.0. that TrueType fonts can be employed), nor can the Vector The Windows version of MathType was reviewed in this TJ!l( fonts be used in any other program. Just recently a column in November 1992. I reviewed an earlier Macintosh Windows version of Vector 1'E}( was released together with a version, MathType 2.11, in this column in April 1991. Since very useful combination manual and introduction to 1FX [2] that time I have been a regular user of MathType, and I am written by the developer of Vector TJ!l(, Michael Vulis. For very happy with it. I have found it to be very easy to learn and those readers wondering what Vector TJ!l( is all about let me to use. add that this volume comes complete with a DOS diskette The new release, MathType 3.0, looks and feels very containing a fully-functional demonstration version of the similar to its predecessor. The MathType window still contains program. Unfortunately, the due date for this review prevented a macro bar for storing commonly-used formulas and a wide an exploration of the capabilities and inadequacies of this variety of pop-up menus for mathematical symbols (over Windows implementation, but preliminary indications suggest 150 including relational, logical, operator, and set theory it will prove to be a worthy successor to its DOS-based cousin. symbols, arrows of all types and directions, and both the By way of contrast, DV/Windo and DVIPSONE are lower- and upper-case Greek alphabet) and pop-up menus not implementations of 1FX at all (although complete 1FX for templates (over 100 for producing brackets of all types, packages containing DV/Windo and DVIPSONE are also radicals, fractions, integrals, sums and products, subscripts and available), but merely the "backends" needed to translate the superscripts, labeled arrows, and matrices). The only common 1FX formatter output into human-readable form. Thus they mathematical expressions I have found that MathType was can be used with any 1FX installation that produces standard unable to produce easily were large vertical equal signs and DVI files. Moreover, they are fully compatible with any Type 1 labeled vertical or diagonal arrows. However, in the over two font that the user cares to employ in his or her document; years I have used MathType I have never had the need to giving access to the literally thousands of typefaces available produce either of these, so this limitation has not affected me from either the Adobe or the True Type typeface libraries. in the least. Of course this flexibility comes with the caveats noted above The key feature of MathType is its automatic application regarding the mixing of textual and mathematical material in of the standard rules for mathematical typesetting. That is, it one document. For this only the Lucida and Times Roman recognizes the different parts of a mathematical expression fonts offer a genuine alternative to Computer Modern. I might and adjusts the format, size, and position of each accordingly. note also that there is now a Lucida alternative to Computer For example, if the ten characters "F(x)+ksinx" are typed Modern available with the Vector TJ!l( implementation. in the MathType window, the result is "F(x) + k sin x". The So what does it all add up to? Basically, the message is quite variables F, k, and the two x's are italicized, wide spaces clear: If you have an existing bitmap-based implementation are placed around the plus sign, and thin spaces are placed of 1FX and want to get into the 20th century, a call to Y & Y around the sin function. "Sin" is not italicized since it is for a copy of DV/Windo and DVIPSONE or to MicroPress recognized as a function included on a list of thirty-seven for a copy of Vector TJ!l( should be a high-priority item on common function names built into the program. Any of the your calendar. And mutatis mutandis for '!FXplorators, if your automatic formatting can easily be changed and text can be needs extend only to an alternative to the Computer Modern included in the formula. The automatic formatting works well typeface. All three firms are to be congratulated on their efforts and needs to be reformatted only infrequently. to bring 1FX one step closer to the desktop publication of The automatic formatting is performed via a variety mathematical documents. high-quality, professional-looking of "styles". In general work in MathType is done in the References "Math style", which is not actually a style but rather a style [1] Casti, J., "V'IFX Typesetting Package," Notices of the American platform which assigns different styles to each part of the Mathematical Society, 38 (February 1991), No.2, 105-109. [2] Vulis, M., Modern TJ!}( and its Applications, CRC Press, Inc., • David Hartz is an assistant professor of mathematics at the College of St. Boca Raton, FL, 1993. Benedict, St. Joseph, MN 56374.

MAY/JUf\IE 1993, VOLUME 40, NUMBER 5 469 Computers and Mathematics formula. In addition to the Math style, there are styles for To edit an existing MathType expression you only need to text, functions, variables, lower- and upper-case Greek letters, double click on the expression to start up MathType 3.0. The symbols, vectors and matrices, and numbers. While working expression will automatically appear in the MathType 3.0 in the Math style, MathType recognizes each character or window. When MathType is closed, the updated expression is group of characters and assigns it to the proper style, so placed back in the proper spot in Word. variables are put in the "variable style"; symbols such as I found no major problems with the program. The one parentheses, brackets, +, -,and= are assigned the "symbol problem I mentioned in my review of MathType 2.11, the style"; function names are assigned the "function style"; and difficulty of making major changes of font size of individual so on. The Math style also assigns the proper spacing for the characters, has been fixedin this version. You can now enter characters. The "text style" has no automatic formatting so the numeric value of the font size without having to go through text can be inserted. The attributes [font and italics or bold all the intermediate sizes. I still wish it would be easier to face] of each style can easily be changed as can the font sizes. add to the list of the thirty-seven recognized function names The previous discussion of MathType applies to MathType without having to use a resource editor. The strange grouping 3.0 as well as to the previous versions of MathType. The of the templates for products with the templates for unions new features of MathType 3.0 are designed to take advantage and intersections still remains, instead of the more natural of System 7 and to mesh smoothly with Microsoft Word grouping of the product templates with the sum templates. 5. One of the most annoying aspects of using the previous The only minor problem I encountered with the new features version of MathType with Word was that when expressions of MathType 3.0 involved the ability to read Word's formula were pasted into Word, the expression had to be subscripted language. For the last several years I have consistently used (lowered) the indicated number of points to align with the option hyphen for a minus sign, the regular hyphen is too text in Word. With MathType 3.0 and Word 5 this subscripting short. When I do this in a formula in Word 5 and paste the is no longer necessary, the expression is now automatically formula into MathType 3.0, then MathType does not recognize aligned with the rest of the text. Another nice new feature is the option hyphen and drops the character. So the minus sign that formulas created by Word's formula language can now is missing when I paste formula back into Word. I hope Design be pasted into MathType 3.0, and they are transformed into Science corrects this problem in the future. MathType expressions. I use this feature frequently. I find MathType 3.0 is a fine addition to System 7, especially for simple fractions, radicals, integrals, etc. are easy to type in users of Microsoft Word 5. The smooth integration of these Word's formula language. Thus I can remain typing in Word, programs allows mathematical formulas and equations to be and when I stop for a break I copy the formulas to MathType easily included in a text in a manner which produces high­ and back to take advantage of the automatic formatting of quality output and allows for easy editing of the equations. It MathType and to give a consistency of style to all the formulas will be even more useful when other programs adopt OLE as in the document. a standard protocol for linking applications. In fact MathType The other major change in MathType 3.0 is that it no 3.0 is a strong argument in favor of adopting System 7. For longer runs as a Desk Accessory (D.A.). In System 7 an alias those users who prefer to use System 6, MathType 3.0 has of MathType can be placed in the Apple menu to make it work less to offer. If I were to remain with System 6 I think the like a D.A. If System 6 is used, then to use MathType 3.0 loss of the ability to use MathType 3.0 as a D.A. would lead with another program you must use MultiFinder. The most me to stick to the previous version of MathType. I have used exciting new feature of MathType 3.0 is how it works with MathType in the past and have found it to be a quality program Word 5 in System 7. Using Microsoft's OLE (Object Linking that is easy to use. I am very happy with it and I intend to and Embedding), MathType 3.0 can be started within Word continue to use it. 5 by choosing "MathType Equation" from the Insert menu.

470 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Inside the AMS

New e-MATII Initiatives consider the feasibility of on-line, discipline-based, preprint Thee-MATH service on the Internet is now into its third year of repositories. operation. Applications that provide professional information The AMS is moving forward at two levels: such as an on-line Combined Membership List and listings • Access to existing preprint services: Thee-MATH system of professional opportunities· are now well established. So will provide a common access point to existing efforts, are applications that support research, like the Mathematical both abstract and full-text initiatives. Where appropriate, Reviews (MR) author look-up and electronic distribution of owners will be lobbied to adopt GOPHERIWAIS as their the Bulletin of the American Mathematical Society. core technology. A Committee on Electronic Products and Services (CEPS), • Developing an AMS node: At the CEPS meeting in San formed in late 1992 and chaired by John Franks (Northwestern Antonio several people expressed concern that preprints University), met at the San Antonio meeting in January 1993. raise science policy issues (e.g., imprimatur, copyright) This committee has now assumed oversight responsibility which may need review before proceeding. for thee-MATH system. For 1993, among other initiatives, commitments have been made to explore models for preprint On-LineCMP services and an on-line version of Current Mathematical Work is underway to evaluate the feasibility of offering Publications (CMP). an on-line version of CMP, the triweekly current-awareness journal produced by MR. Although CMP already exists in Preprint Service electronic format in the MathSci database (on CD-ROM or e-MATH staff have been developing a model for disciplinary on-line through the DIALOG information service), there is preprint services that is based on an integrated platform that interest in a direct AMS node for Internet access. uses FfP/GOPHERIWAISILISTSERV to support browsing and indexed searches. It is an outgrowth of an effort that Accessing e-MATH has its roots in a meeting in May 1992, co-organized by the To access e-MATH: Association of Research Libraries (ARL) and the American telnet e-math.ams.org Mathematical Society (AMS), in Washington, DC. Approx­ Login and password are e-math. Internet connectivity is imately twenty-five representatives from scholarly/learned assumed, and VT100 terminal emulation is preferred. For societies, universities, libraries, and university presses met to more information send e-mail to [email protected].

MAY/JUNE 1993, VOLUME 40, NUMBER 5 471 News and Announcements

AMS Centennial Fellowships theory and to the study of integrable Scedrov's research interests include Awarded systems. He considers himself most for­ mathematical logic and mathematical as­ The Society has awarded three Centen­ tunate to have collaborated repeatedly pects of computer science, particularly nial Fellowships for 1993-1994. The with Malcolm Adams, Charles Boyer, the relationship between programs and recipients are JACQUES HURTUBISE of John Hamad, Niky Kamran, Ben Mann, formal proofs. Most recently he has fo­ McGill University, ANDRE SCEDROV of Jim Milgram, and Michael Murray. cused on linear logic and on categorical the University of Pennsylvania, and semantics of programming languages. DAVID WEBB of Dartmouth College. Andre Scedrov Andre Scedrov received his Ph.D. in David Webb Jacques Hurtubise 1981 from the State University of New David Webb received his Ph.D. in 1983 Jacques Hurtubise received his Ph.D. in York at Buffalo under the direction of from Cornell University under the di­ 1982 from Oxford University under the John Myhill. In 1981 he became aT. H. rection of Ken Brown. After a year direction of Nigel Hitchin. He taught Hildebrandt Research Assistant Profes­ as a postdoctoral fellow at the Univer­ at the Universite du Quebec a Montreal sor at the University of Michigan, Ann sity of Waterloo, he was a member of the Arbor. Since 1982 he has been at the University of Pennsylvania, with leaves during 1986 at the Ohio State Univer­ sity, and during 1989-1990 at Stanford University. He is currently a professor of mathematics and computer and in­ formation science at the University of Pennsylvania.

Jacques Hurtubise David Webb from 1982 to 1987, and then spent a year faculty at Washington University in St. as a visitor at the Institute for Advanced Louis, as an assistant professor from Study in Princeton. Since 1988 he has 1984--1990 and an associate professor been an associate professor at McGill after 1990. In 1992 he joined the faculty University. of Dartmouth College. His research has focused on appli­ Webb's research interests include al­ cations of algebraic geometry to gauge Andre Scedrov gebraic K -theory (particularly of group

472 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY News and Announcements rings) and differential geometry, espe­ Kohn (chair), Frederick W. Gehring, Biographical Sketch cially questions concerning the spectrum and Halsey L. Royden. Yum-Tong Siu was born on May 6, 1943 of the Laplacian. He considers himself Professor Siu is generally recog­ in Canton, China. He received his B.A. fortunate to have been exposed to the nized as one of the leading figures in from the University of Hong Kong in mathematical culture at Cornell and to complex analysis throughout the world. 1963, his M.A. from the University of have worked with a variety of intellec­ He has settled a long and impressive list Minnesota in 1964, and his Ph.D. from tually stimulating collaborators. of problems and opened new directions Princeton University in 1966, where his Information about the competition of research through highly imaginative thesis advisor was Professor Robert C. for the 1994-1995 AMS Centennial Fel­ and original use of sheaf theory, partial Gunning. He was an assistant professor lowships will be published in the Fund­ differential equations, and differential at Purdue University (1966-1967) and ing Information for the Mathematical geometry. Here we will briefly men­ the University of Notre Dame (1967- Sciences section of the next issue of the tion a small selection of his research 1970) before moving to Yale University, Notices. contributions. where he advanced to the rank of pro­ During the first five years after his fessor in 1972. He was a professor at Stanford University from 1978 to 1982 Siu Wins Bergman Prize Ph.D. Siu worked on the problem of ex­ tending analytic sheaves across analytic and has been a professor at Harvard Uni­ YuM-ToNG Sm of Harvard University versity since 1982. He has held visiting has been selected as the 1993 awardee sets in connection with the notion of q-convexity. In this research Siu solved positions at a number of institutions of the Stefan Bergman Trust. The trust, including the University of Paris VII, a series of very hard problems culrninat­ established in 1988, recognizes mathe­ the University of Kaiserslautern, Kyoto ing with his fundamental joint work with matical acccomplishments in the areas University, Princeton University, Insti­ G. Trautman. In 1974 he proved a very of research in which Stefan Bergman tut des Hautes Etudes Scientifiques, the deep result in complex analysis con­ worked. The award consists of $20,000 University of Bayreuth, and the Univer­ cerning the structure of positive closed per year for two years. sity of Nancy. He was a Sloan Fellow the sets of density of In response to receiving the award, currents, namely: from 1971-1973 and a Guggenheim are analytic sets. More­ Professor Siu said, "I feel very honored such currents Fellow from 1985-1986. He received an to be chosen for the award in memory over he has given beautiful applications honorary doctorate from the University of Professor Stefan Bergman, whose to the problem of extension of closed, of Hong Kong in 1990 and was elected a fruitful ideas and pioneering work in the positive currents and of meromorphic corresponding member of the Gottingen field of several complex variables have maps across subvarieties. Academy of Sciences in 1993. Over the had such a great influence." Since 1975 much of Siu's work years he has presented invited addresses has been connected with differential in many conferences, including the In­ geometry. In collaboration with S.-T. ternational Congress of Mathematicians Yau he proved several important results. in Helsinki in 1978 and in Warsaw in Two striking examples are (I) simply­ 1983. connected manifolds with "small" non­ positive sectional curvature are isomor­ About the Prize n , and (2) compact Kahler man­ phic to C The Bergman Prize honors the memory ifolds with positive curvature are iso­ of Stefan Bergman, best known for his morphic to lP' n (this settled the Frankel research in several complex variables, as conjecture and was proved indepen­ well as the Bergman projection and the dently by Mori using methods of al­ Bergman kernel function which bear his gebraic geometry). With G. D. Mostow name. A native of Poland, he taught at he constructed an example of a compact Stanford University for many years and manifold with negative sectional curva­ died in 1977 at the age of seventy-eight. ture that is not covered by the Euclidean He was an AMS member for thirty-five ball. years. When his wife died, the terms of Siu has pioneered the use of har­ her will stipulated that funds should go monic mappings in the study of complex toward a special prize in her husband's manifolds. He has obtained, jointly with honor. R. M. Range, important results concern­ Yum-Tong Siu The AMS was asked by Wells Fargo ing the d-equation. He has established Bank of California, the managers of the the existence of Kahler-Einstein metrics Bergman Trust, to assemble a committee Prize Citation on certain manifolds with positive anti­ to select recipients of the prize. In ad­ The following citation was provided canonical line bundle. These are just a dition the Society assisted Wells Fargo by the Bergman Prize Selection Com­ few of the highlights of his amazingly in interpreting the terms of the will to mittee, which consisted of Joseph J. prolific and productive activity. assure sufficient breadth in the mathe-

MAY/JUNE 1993, VOLUME 40, NUMBER 5 473 News and Announcements matical areas in which the prize may be entific achievement or for lifetime con­ His work with M. G. Krein has had a given. Awards are made every two years tributions. The prize is awarded by the profound impact on functional analysis in the following areas: (1) The theory of ILAS Executive Board on recommenda­ and linear algebra. His book with Bart the kernel function .and its applications tion of a prize committee, which for the and Kaashoek, Minimal Factorizations in real and complex analysis; and (2) present. awards consisted of Tom Laf­ ofMatrices and Operator Functions, "is Function-theoretic methods in the the­ fey (chair), Gene Golub, Alan Hoffman, the seminal work in the subject and has ory of partial differential equations of Hans Schneider (ex officio), and Robert led to great advances in the area," the ci­ elliptic type with attention to Bergman's Thompson. tation says. "The classification of pencils operator method. Miroslav Fiedler was recognized for of matrices under equivalence achieved a range of contributions in linear algebra. by Kronecker in the last century is still Balaguer Prize Awarded for 1992 With early results in the theory of sim­ difficult today and the problem of ex­ The Institut d'Estudis Catalans has plices, Fiedler went on to make funda­ tending it to general matrix polynomials awarded the first Ferran Sunyer i Bala­ mental contributions to algebraic graph is daunting," the citation says. "Gohberg guer Prize to ALEXANDER LUBOTZKY of theory and to the combinatorial study of and his collaborators have made tremen­ the Hebrew University of Jerusalem for simplices. He investigated the influence dous progress in this." Gohberg's results his monograph entitled Discrete Groups, of the diagonal entries of a matrix on its extend through a wide range of areas, Expanding Graphs, and Invariant Mea­ spectrum and, as the prize citation says, such as spectral theory, canonical forms, sures. The prize consists of 12,000ECU. provided "a foretaste of major contribu­ perturbation theory, complexity, and sys­ The monograph will be published in tions to the problem of localization of tems theory. The citation concludes by Birkhauser-Verlag's series "Progress in the spectrum of general matrices-that noting, "Because of the strength and Mathematics". is, determining the smallest complex mterest of his results, he has greatly Each year, the Ferran Sunyer i Bala­ domain containing all the eigenvalues". influenced the direction of the develop­ guer Prize will be awarded for a math­ The citation goes on to note that his work ment of linear algebra." ematical monograph of an expository in the theory of M -matrices influenced The prizes were awarded at the ILAS nature presenting the latest develop­ the direction of research in the field, meeting, Pure and Applied Linear Alge­ ments in an active area of research in "and the Laplacian matrix continues to bra: The New Generation, held in March mathematics in which the applicant has provide surprises". In addition Fiedler 1993 at the University of West Florida. made important contributions. The prize has made significant contributions to Fiedler delivered his prize address at honors the memory of Ferran Sunyer mathematical economics and numerical that meeting. Gohberg will deliver his i Balaguer (1912-1967), a self-taught linear algebra. prize address at the !LAS meeting in Catalan mathematician who, in spite of Shmuel Friedland has made funda­ Rotterdam in August 1994, and Fried­ a serious physical disability, was very mental contributions in analysis, alge­ land will deliver his at the ILAS meeting active in research in classical analysis bra, and geometry. "A number of the in Atlanta in August 1995. and achieved international recognition. deepest and most elegant results in lin­ The prize is made possible by a do­ The prizewinner was chosen by a ear algebra are due to him," the citation nation by Hans Schneider, James Joseph committee consisting of Gerhard Frey, notes, "and he has enriched the subject Sylvester Professor of Mathematics at Universitat Essen; Joan Girbau, Uni­ through the introduction of powerful an­ the University of Wisconsin at Madi­ versitat Automona de Barcelona; Paul alytic and algebraic tools." Among his son. Well known for his contributions Malliavin, Universite de Paris VI; Joseph most striking results are a proof that, to linear algebra, Schneider is the first Oesterle, Universite de Paris VI; and given a complex matrix, one can find president of !LAS. Alan Weinstein, University of Califor­ a diagonal matrix such that the sum of nia at Berkeley. the two matrices has a given complex spectrum; an effective solution to the ILAS Prizes in Linear Algebra simultaneous (linear) similarity problem Graduate Student Fulbrights The International Linear Algebra Soci­ for matrices; a best possible bounds for Awarded for 1992-1993 ety (ILAS) has announced that the first the permanent and related functions on The J. William Fulbright Foreign Schol­ Hans Schneider Prize in Linear Algebra certain classes of matrices; and a gener­ arship Board and the United States In­ has been awarded jointly to MIROSLAV alization of a theorem of Motzkin and formation Agency have made Fulbright FIEDLER of the Czech Academy of Sci­ Taussky. He has also made significant awards to graduate students to study ences, SHMUEL FRIEDLAND of the Uni­ contributions to combinatorial matrix abroad in 1992-1993. There were three versity of Illinois at Chicago, and ISRAEL theory and has developed a powerful awards in mathematics. PAUL B. JoHN­ GoRBERG of Tel-Aviv University. method of attack on the graph isomor­ SON of Wesleyan University to go to the Awarded every three years, the Hans phism problem. Czech Republic and Slovakia; STEVEN Schneider Prize recognizes research, Israel Gohberg was recognized for LIEDAHL of the University of California contributions, and achievements at the contributions which cover most aspects at Los Angeles to go to Israel; and KEVIN highest level of linear algebra. The prize of linear algebra and which are repre­ O'BRYANT of the Rose-Hulman Institute may be awarded for an outstanding sci- sented by more than 300 publications. of Technology to go to Hungary.

474 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY ·····································-~~~~ ...... ~ .. ····~------News and Announcements

National Academy also structured the program so that there of Giants", the MSEB works at the of Engineering Election would be significant time for exchange national level to improve mathematical InFebruary 1993, the National Academy of ideas between the researchers [par­ education for students at all levels, from of Engineering announced the election ticipating in the Institute] and the high grade school through graduate school. of seventy-three new members and eight school teachers." foreign associates. Among these was Before coming to the University of AAAS Awards for Mentoring CARL R. DE BooR, professor of math­ Illinois at Chicago, Fisher served four and Journalism ematics and computer science at the years as associate director of the Uni­ The American Association for the Ad­ University of Wisconsin, Madison, who versity of Chicago School Mathematics vancement of Science (AAAS) made a was elected for "contributions to numer­ Project. "There she had the difficult number of awards at its annual meeting ical analysis and methods, in particular task of articulating the work and ideas in Boston in February 1993. One of the numerical tools used in computer-aided of many different contributors into a awards, the AAAS Mentor Award, went design." coherent program," the citation states. to ABDULALIM ABDULLAH SHABAZZ, "The wide commercial success of the chair of the mathematics department Naomi Fisher University of Chicago materials can at at Clark Atlanta University. In addition Receives Hay Award least in part be attributed to Dr. Fisher's one of the AAAS-Westinghouse Awards NAOMI FISHER of the University of Illi­ success in accomplishing that task and for Science Journalism was presented to nois at Chicago has received the Louise in laying a strong foundation for further RicHARD PRESTON for an article about In addition Hay Award for Contributions to Math­ development and growth." two mathematicians, David and Gregory the ematics Education. Established by the her ideas helped inspire many of Chudnovsky. in Association for Women in Mathematics geometry lessons being developed The Mentor Award consists of $5000 as in the Teach­ (AWM) in 1990, the annual Hay Award that program, as well and a plaque. Professor Shabazz was highlights the importance of mathemat­ ing Innovative Mathematics and Science honored "for extraordinary efforts ics education by honoring distinguished Program. throughout his career to mentor genera­ contributions to education by a woman "Dr. Fisher has helped people stretch tions of minority students, Ph.D. math­ the mathematician. The award was pre­ their thinking about mathematics," ematicians and mathematics educators, she sented during the AWM business meet­ citation concludes. "In doing so, and enhance the careers of hundreds for ing at the Joint Mathematics Meetings has embodied a spirit and passion of minority mathematicians". In 1957, in San Antonio in January 1993. mathematics that was shared by Louise when Professor Shabazz began teaching Fisher serves as co-director of the Hay." at what was then Atlanta University, Mathematicians and Education Reform The Hay Award honors the mem­ only two students were pursuing mas­ (MER) Network, which was created to ory of Louise Hay, who was widely ter's degrees in mathematics. Over the facilitate the involvement of mathemati­ known for her contributions to mathe­ next six years he recruited and assisted cians in educational reform efforts. Over matical logic and her strong leadership 109 students toward obtaining their mas­ the past four years, over 300 math­ as head of the Department of Mathemat­ ter's degrees in mathematics. Thirty of of ematicians and mathematics educators ics, Statistics, and Computer Science these students went on to earn doctoral a have participated in regional MER work­ the University of Illinois at Chicago, degrees in mathematics or mathematics shops. In addition MER has produced position she held at the time of her death education. Since that time he has contin­ two volumes of collected articles pub­ in 1989. The resolution establishing the ued to encourage and assist hundreds of lished in the Conference Board of the prize says, "Her devotion to students students in their academic choices and Mathematical Sciences series "Issues in and her lifelong commitment to nurtur­ career development. men Mathematics Education". "Much of the ing the talent of young women and Professor Shabazz received his bach­ success of MER can be directly at­ secure her reputation as the consummate elor's degree from Lincoln University tributed to the vision and efforts of Dr. educator." in 1949, his master's degree from the Fisher," says the citation for the award. Massachusetts Institute of Technology "From the beginning, she had a clear Hyman Bass New Chair of MSEB in 1951, and his Ph.D. in mathematics sense of what was needed to develop a Hyman Bass of Columbia University has from Cornell University in 1955. He has feeling of respectability for education­ been appointed chair of the Mathemat­ just completed research for his book, related projects among research mathe­ ical Sciences Education Board (MSEB) Mathematics at Dawn, which will de­ maticians." of the National· Research Council. He scribe the role and contributions of the Fisher is also the director of the succeeds Alvin W. Trivelpiece, direc­ people of Africa and Asia in the devel­ High School Teaching Program for the tor of Oak Ridge National Laboratories. opment and origin of the mathematical Regional Geometry Institute held each Bass, who has been on the board for the sciences. summer in Park City, Utah. "Dr. Fisher past two years, will serve a three-year There were six AAAS-Westinghouse developed a rigorous and exciting agenda term as chair beginning July 1, 1993. Science Journalism Awards, each con­ for teachers that has been widely praised Well known for such reports as "Ev­ sisting of $2500 and a plaque. RicHARD by participants," the citation says. "She erybody Counts" and "On the Shoulders PRESTON was honored for his article

MAY/JUNE 1993, VOLUME 40, NUMBER 5 475 News and Announcements

"The Mountains of Pi", published in place prize of a $10,000 scholarship for dresses and electronic mail addresses, the March 2, 1992 issue of The New developing an algorithm to implement when available. For a copy of the Yorker. The article profiles the Chud­ the wavelet transform on a massively list, send a message to Khoussainov at novsky brothers, David and Gregory, paralle~ computer. The three students bakh @msiadmin.cit.cornell.edu or write who have installed a supercomputer in from Maryland all attend Montgomery to MSI, Cornell University, 409 College their New York City apartment in or­ Blair High School in Silver Spring, Ave., Ithaca, NY 14886. der to explore the number 1r. Preston, Maryland. MSI's R. Durrett and M. Sweedler freelance writer, received a Ph.D. in First- and second-place went to stu­ will speak at the Eleventh Army Con­ English from Princeton University. His dents submitting biology projects: Eliz­ ference on Applied Mathematics and book First Light, about the 200-inch abeth Michele Pine of Chicago, Illi­ Computing to meet at Carnegie Mellon Hale telescope at the Palomar Observa­ nois received a $40,000 scholarship, and University June 8-11, 1993. For infor­ tory, won the 1988 American Institute Xanthi M. Merlo of Racine, Wisconsin mation contact the U.S. Army R~search of Physics Science Writing Award and received a $30,000 scholarship. Office, Box 12211, RTP, NC 27709. is now being developed into a PBS doc­ The prizes were presented at an R. Durrett, Director of the MSI Cen­ umentary. Preston is currently at work awards banquet in Washington, DC on ter for Stochastic Analysis, will co-chair on a book about emerging viruses. March 8, 1993. In addition to the top the AMS's 41st Summer Research In­ ten prizes, first and second alternates stitute to meet at Cornell University Mathematics Projects and twenty-eight other finalists received July 11-30, 1993. Stochastic Analy­ Garner Awards $1000 scholarships. The winners were sis is the topic. Contact R. Durrett at in Westinghouse Competition selected by a panel of eight prominent [email protected] for more in­ High school students submitting math­ scientists after interviews designed to formation. ematics projects garnered four out of evaluate the students' scientific creativ­ MSI Director A. Nerode and W. the top ten prizes in the Westinghouse ity and potential. This is th~ fifty-second Marek from the University of Kentucky Science Talent Search, one of the na­ Science Talent Search. Finalists in pre­ are co-general chairs for the 1994 Inter­ tion's most prestigious competitions for vious competitions have gone on to national Symposium on Logic Program­ young people interested in science and become Fields Medalists, Nobel Lau­ ming to meet in Ithaca in November mathematics. The competition awarded reates, MacArthur Foundation Fellows, 1994. For information contact W. Marek a total of $205,000 in scholarships. and members of the National Academy at [email protected]. LENHARD LEE NG of Chapel Hill, of Sciences and the National Academy For information on other MSI con­ North Carolina won the third-place prize of Engineering. ferences see the March 1993 Notices, of a $20,000 scholarship. His project pp. 244-245. studied how well a shopper can ap­ AWM Moves to Maryland For general information concern­ proximate the total cost of a number of The Association for Women in Math­ ing the Mathematical Sciences Institute groceries by rounding each item's price ematics (AWM) has moved from its and conferences at MSI's Ithaca head­ to the nearest dollar and adding together twenty-year home on the Wellesley quarters, please contact Diana Drake at the rounded prices. His analysis used the College campus to the University of [email protected]. probability of getting the actual cost to Maryland at College Park. The new the nearest dollar and the expected error, executive director is Virginia S. Rein­ News from the both of which depend on the number of hart. The address is: Association for Mathematical Sciences items purchased. Women in Mathematics, 4114 Com­ Research Institute WEI-HWA HUANG of North Potomac, puter and Space Sciences Building, Uni­ Berkeley, California Maryland won the sixth-place prize of a versity of Maryland, College Park, MD During 1994-1995 the Mathematical $15,000 scholarship for a project that an­ 20742; telephone 301-405-7892; e-mail: Sciences Research Institute (MSRI) will alyzed mathematically the puzzle game [email protected]. feature a full-year program on Automor­ Peg Solitaire. MAHESH KALYANA MA­ phic Forms, and a half-year program in HANTHAPPA of Boulder, Colorado was News from the the spring on Complex Dynamics and the seventh-place winner of a $10,000 Mathematical Sciences Institute Hyperbolic Geometry. More details on scholarship for a new method of finding Cornell University, these programs and how to apply if you integer solutions of the general expo­ the University of Puerto Rico, wish to participate may be found in the nential diophantine equation, xm + D = and SUNY Stony Brook advertisements at the back of this issue gn. STEVE SHAW-TANG CHIEN of Po­ With support from the Army Research of the Notices (pp. 550 and 551). Also tomac, Maryland received the eighth­ Office and the National Science Foun­ information on these and other activities place prize of a $10,000 scholarship dation, Bakhadyr Khoussainov, a vis­ at MSRI can be obtained by writing for devising a winning strategy for all itor at the Mathematical Sciences In­ MSRI at 1000 Centennial Drive, Berke­ higher-dimensional forms of Wythoff's stitute (MSI), has assembled a list of ley, CA 94720, or by sending e-mail to Game. ELIZABETH DEXTER MANN of over 250 logicians in the fonner Soviet [email protected] with the message con­ Silver Spring, Maryland won the ninth- Union. The list includes current ad- sisting of the single word, "help", or

476 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY News and Announcements by anonymous ftp from chern.msri.org R. Bryant & S. S. Chern). Workshop, University of Virginia), B. Stoth (1992 (128.3.188.52). March 2-4, 1994. Ph.D., Bonn University), and A. DeSi­ The program in Differential Geom­ mone (1992 Ph.D., University of Min­ etry during the coming year will be nesota). DeSimone, who is presently at divided into a number of sub-programs April1994 the University of Rome, is taking a post­ and themes. Some of the themes will Harmonic Maps, Minimal Submanifolds, doctoral position jointly funded by the be pursued during the entire year, and and Rigidity Questions (Organizer: R. Center and the Italian research agency others for shorter periods, but each will Schoen). Workshop, April20-22, 1994. Consiglio Nazionale della Ricerche. have a period of concentration, and in The Center is hosting the Eleventh Army Conference on Applied Mathe­ some cases, an associated workshop. Spring1994 The schedule is as follows: A Program on Special Geometric Struc­ matics and Computing in Pittsburgh, June 8-11, 1993. Invited Speakers are tures, Reduced Holonomy, and Low­ R. Durrett (Cornell University), P.S. September 1993 Dimensional Geometry (Organizer: R. Krishnaprasad (University ofMaryland), Differential Equations Related to Cur­ Bryant). vature Problems (Organizer: R. Schoen). R. Nicolaides (Carnegie Mellon Univer­ This includes scalar and Ricci curva­ sity), J. Tsitsikles (MIT), and D. Yuen ture. It covers both elliptic and evolution Fall and Spring 1993-1994 (MIT). Special sessions are planned in equations, and it includes Einstein man­ There will be a year-long concentra­ stochastic analysis, computation in envi­ ifolds and their moduli, the Ricci flow, tion on submanifold theory run by S.S. ronmental geoscience, virtual factories, the mean curvature flow, and questions Chern. and viscosity solutions. related to the Yamabe problem. Work­ A related workshop on Elliptic and A workshop on "Approximation and shop, September 22-24, 1993. Parabolic Methods in Geometry will Numerical Methods Related to Diffu­ be held May 23-27 at the Geometry sion Processes" will be held October October 1993 Center in Minneapolis. The organizers 9-12, 1993, at Carnegie Mellon. The A. Spaces ofNegative Curvature (Orga­ are B. Chow, R. Gulliver, andJ. Sullivan. organizers are T. Kurtz, E. Pardoux, and nizer: W. Ballman). For further information send e-mail to S. Shreve. This will feature a week of con­ epmg@ geom.umn.edu. For more information about the ac­ centrated activity from October 3-10, Another related event, prior to the tivities of the Center for Nonlinear Anal­ 1993. beginning of the program, is the Work­ ysis contact the Center at the Department B. Comparison Geometry: Spaces of shop on Riemannian Geometry at the of Mathematics, Carnegie Mellon Uni­ Positive Curvature, Gromov-Hausdorff Fields Institute in Waterloo, August 3- versity, Pittsburgh, PA 15213-3890; fax: Convergence, Alexandrov Spaces, etc. 13, 1993. For e-mail information use 412-268-6380; enOs@ andrew.cmu.edu. (Organizer: K. Grove). Workshop, Oc­ lovric@ fields. uwaterloo.ca. tober 25-27, 1993. More details on the individual work­ shops will appear in subsequent issues November 1993 of the Notices and on widely distributed NSF Advisory Committee Meeting Spectral geometry (Organizer: C. Gor­ posters. The Advisory Committee for the Math­ don). Workshop, November 8-10, 1993. ematical Sciences of the National Sci­ ence Foundation (NSF) will hold its next January 1994 News from the meeting May 14-15, 1993, at NSF head­ Geometry and Mathematical Physics Center for Nonlinear Analysis quarters in Washington, DC. The com­ (Organizer: R. Bott). Carnegie Mellon/ mittee provides advice to the NSF's Di­ This will be a month long series of Hampton Universities vision of Mathematical Sciences (OMS) lectures by mathematicians and physi­ The Center for Nonlinear Analysis an­ about support for mathematics. cists. E. Witten and E. Getzler have nounces the following postdoctoral ap­ The meeting is open to the public. agreed to participate. pointments for the 1993-1994 year: G. For more information call the OMS at Friesecke (1993 Ph.D., Heriot-Watt Uni­ 202-357-9669 or send electronic mail March1994 versity), J. Lu (1993 Ph.D., Courant to Trudy Sensibaugh, [email protected] Exterior Differential Systems, Submani­ Institute), D. Polignone (1993 Ph.D., (Internet) or tsensiba@nsf (Bitnet). folds, and Control Theory (Organizers:

MAY/JUNE 1993, VOLUME 40, NUMBER 5 477 Funding Information for the Mathematical Sciences

Target Dates Instituted at NSF Beginning in the fall of 1993 the tially with other known NSF target dates, The Division of Mathematical Sciences Division will introduce two target dates mesh reasonably well with academic of the National Science Foundation for proposals submitted to the following calendars, and cluster the programs so (NSF) has established target dates for programs: as to provide a balance with respect to the submission of proposals to the grants both overlapping scientific content and program. On February 16, 1993, Divi­ anticipated program proposal loads. October 22,1993 sion Director Frederic Y. M. Wan issued Proposals that miss the target dates • Algebra and Number Theory Pro- the following announcement. will be handled as time permits. Priority gram will be given to proposals arriving on or Dear Colleague: • Classical Analysis Program before the above target dates. • Modem Analysis Program Announcement of Proposal Target The above dates do not apply to Dates. In order to improve the Divi­ • Topology and Foundations Program the activities of the Division's Office of sion's proposal management, and pos­ Special Projects. These activities already sibly to employ disciplinary panels in November 19, 1993 have specified target or deadline dates. the merit review of proposals, the Di­ • Applied Mathematics Program vision of Mathematical Sciences plans • Computational Mathematics Program Sincerely, to introduce target dates for proposal • Geometric Analysis Program Frederic Y. M. Wan submission for disciplinary research ac­ • Statistics and Probability Program. Division Director tivities for [fiscal year] 1994 NSF funds. These dates do not overlap substan- Division of Mathematical Sciences

TRANSLATIONS OF MATHEMATICAL MONOGRAPHS Algebraic Functions Kenkichi Iwasawa Volume 118

This is a translation of Iwasawa's 1973 book, Theory of Algebraic Functions, originally published in Japanese. Because the book treats mainly the classical part of the theory of algebraic functions, emphasizing analytic methods, it provides an excellent introduction to the subject from the classical viewpoint. Directed at graduate students, the book requires some basic knowledge of algebra, topology, and functions of a complex variable.

1991 Mathematics Subject Classification: 14, 30; 33 ISBN 0-8218-4595-0, 287 pages (hardcover), April 1993 Individual member $79, List price $131, Institutional member $105 To order, please specify MMON0/118NA

j;l\BM'-4.1'/j ~~·-·· ~ All prices subject to change. Free shipment by surface: for air delivery, please add $6.50 per title. Prepayment required. l.i :1 - ~ ~61 ~ ~ ~ Order from: American Mathematical Society, P.O. Box 5904, Boston, MA 02206-5904, or call toll free 800-321-4AMS ~. ·"' (321-4267) in the U.S. and Canada to charge with VISA or MasterCard. Residents of Canada, please include 7% GST. ~I!D,I'$'

478 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY For Your Information

have embarked on careers concerned with societal issues and mathematics. This year the Societal Institute of the Mathematical Sci­ In its early years SIMS conducted a "Transplant Pro­ ences (SIMS) will celebrate its twentieth anniversary. gram" in which mathematicians were "transplanted" to an of the mathematical SIMS concentrates on applications interdisciplinary center concerned with societal issues (e.g., to important problems facing society, such as sciences environmental medicine, urban crime, energy, population problems, energy conservation, and AIDS. environmental growth, and cultural evolution). A "transplant" usually stayed The following piece is based on a press release sent out by for two years; a senior mathematician was asked to keep close SIMS. For more information about SIMS, write to: SIMS, to the transplant so that he or she did not feel lost and forgotten. 97 Parish Road South, New Canaan, CT 06840; telephone SIMS's most successful transplant has worked impressively 203-966-1008; fax 203-972-6069. in environmental medicine, particularly in cancer research, and recently appeared on CBS on national television. The transplant program grew so that eventually whole groups of mathematical/statistical researchers were trans­ 20th Anniversary of the planted rather than individuals. The first group resulted from Societal Institute an early SIMS conference in Alta, Utah on epidemiology at by saying, of the Mathematical Sciences which one well-known participant exhorted SIMS "You must do something about pollution and health." SIMS was conceived as an outcome of an ad hoc committee Shortly thereafter SIMS organized statistical groups in organized by the Society for Industrial and Applied Math­ studies at Stanford University: one in monitoring air pollution ematics (SIAM) to explore mathematics and problems of and investigating its causes and one in environmental cancer. society. A special conference was held over a rainy weekend Harvard at Columbia University's Arden House in June 1972. Experts Subsequently, more groups were organized at the the (San were invited from certain applied fields, such as population School of Public Health, Columbia University, the growth, environmental pollution, public health, arms control, Francisco) Bay Area Air Quality Management District, etc. These experts were asked to review problem areas where University of Washington (Seattle), the University of British it was thought an increased use of mathematics might be Columbia, the Rand Corporation (Santa Monica, CA), and encouraged and might prove useful. Subsequently it was the New York City Rand Institute. The groups at Stanford decided that SIMS should be brought into existence to ( 1) are still functioning in the same research study after almost facilitate research on societal problems, (2) hold conferences, seventeen years. One Stanford group is now working together and (3) obtain funds to support other appropriate endeavors. with the Rand Corporation and the University of California Throughout the course of the summer and fall of 1972 plans at Berkeley (School of Public Health) on a four-year study of for the SIAM Institute for Mathematics and Society (SIMS) human exposure problems. were developed. The Institute was formally incorporated in In 1987 SIMS organized a four-year study on statistical the Commonwealth of Pennsylvania and came into existence methodology for the study of the AIDS epidemic, with par­ in January 1973 with its own officers and Board of Directors; ticular attention to the dynamics of the disease in intravenous directors were elected by the SIAM Board of Trustees. In 1987 drug users. This study now is in the second year of its the Institute became the Societal Institute of the Mathematical second four-year term. It has become an international effort Sciences, keeping the same acronym SIMS, but becoming with groups at the University of California (Berkeley and independent of SIAM. Its substantive scientific efforts have San Francisco), New York University Medical Center, the thrived and have been recognized throughout North America University of Waterloo (Ontario, Canada), and the University and Europe. In January 1993 SIMS became twenty years old. of Ttibingen (Germany). Many people have contributed to SIMS projects in dif­ The principal products of all these research studies have ferent ways. One consequence is that many Ph.D. graduates been some 300 technical reports, many of which have been

MAY/JUNE 1993, VOLUME 40, NUMBER 5 479 For Your Information published in scientific journals and have had an impact in the experts in the field. Their presentations were made over societal field. periods lasting one to five days. A tutorial volume is planned SIMS has also conducted over a dozen research application by Birkhauser. conferences on societal issues such as ecosystems, energy, Financial support for SIMS programs has come from both environmental pollution, and AIDS and other health topics. private organizations and government agencies. The principal Each of these conferences lasted five days and usually had private sources have been the Sloan Foundation, The Research thirty-five to forty attendees, of which fifteen to twenty were Corporation, Exxon, IBM, the Rockefeller Foundation, and invited speakers. Each conference has resulted in proceedings SIAM; the principal government agencies have been the Envi­ which were published as soon as possible so that topics ronmental Protection Agency, the Department of Energy, the presented and discussed could be made available quickly Office of Naval Research, the National Science Foundation, to all researchers in the field. These proceedings have been the National Institute on Drug Abuse of the National Insti­ published by SIAM, Wiley & Sons, and Birkhauser Boston. tutes of Health, and the National Center for Human Genome These conferences have been held in Alta, Utah and Berkeley, Research. Strong support continues for SIMS efforts. California. The next one is on AIDS and is scheduled to To celebrate SIMS's twentieth anniversary, special ses­ be held following the IXth AIDS Conference in Berlin in a sions at national meetings are being planned during 1993 and conference center belonging to the University of Ttibingen; early 1994. Much of SIMS's current efforts are being carried the center is located in Blaubeuren, Germany, near Ulm. out in the San Francisco Bay Area. The next national meet­ SIMS conducted two three-week Tutorials on Genomic ings of the American Statistical Association and the American Analysis, one at Stanford University in 1991 and one at Association for the Advancement of Science are being held Rutgers University (DIMACS) in 1992. Participants were in San Francisco; special SIMS sessions are being planned at graduate students and postdoctorals, and instructors were both.

PROCEEDINGS OF SYMPOSIA IN PURE MATHEMATICS Differential Geometry Robert E. Greene and S. T. Yau, Editors Volume 54

These three parts contain the proceedings of the AMS Summer Institute University of California, Los Angeles, in July 1990. This was the largest A wide-ranging and intense research activity in the subject. The parts contain mart perspectives on relatively broad topics; these articles would be accessible to adva the authors of the research articles were encouraged to survey the relevant literature.* ee parts together offe 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)

480 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Northern Illinois University, DeKalb, Illinois May 20-23, 1993

The eight hundred and eighty-second meeting of the American Abstracts for consideration for these sessions should have Mathematical Society (AMS) will be held at Northern Illinois been submitted by the February 3, 1993, deadline. This University, DeKalb, Illinois, from Thursday, May 20, through deadline was previously published in the Invited Speakers and Sunday, May 23, 1993. Special sessions and sessions for Special Sessions section of the Notices. contributed papers will be held in DuSable Hall and Cole The sessions on Function theory, Number theory, Com­ Hall, and invited addresses will be in the auditoria in Cole binatorics, Analytic number theory, Beautiful graph theory, Hall. and Probabilistic methods have been coordinated to coincide with the Paul Erdos Birthday Celebration being organized by Northern Illinois University. Invited Addresses By invitation of the Central Section Program Committee, there Contributed Papers will be three invited addresses. The speakers, their affiliations, There will also be sessions for contributed ten-minute papers. and the titles of their talks are: Abstracts should have been submitted by the February Susan J. Friedlander, University of Illinois at Chicago, 26, 1993, deadline previously published in the Calendar of Instabilities in fluid motion. AMS Meetings and Conferences. Late papers will not be Russell D. Lyons, Indiana University, Trees, Hausdorff accommodated. dimension, and probability. Clark Robinson, Northwestern University, Chaos in Registration dynamical systems. The meeting registration desk will be located in the third floor west comer foyer ofDuSable Hall and will be open from 8:00 a.m. until 5:00p.m. on Thursday, May 20; Friday, May 21; Special Sessions Saturday, May 22; and from 8:00 a.m. until noon on Sunday, By invitation of the same committee there will be eleven May 23. The registration fees are $30 for members of the special sessions of selected twenty-minute papers. The topics AMS; $45 for nonmembers; and $10 for emeritus members, of these sessions and the names and affiliations of the students, or unemployed mathematicians, payable by cash, organizers are as follows: check, or Visa or MasterCard. Advances in linear algebra: theory, computation, applica­ tion, Gregory S. Ammar, Northern Illinois University. Events of Other Organizations Number theory, Michael A. Filaseta, University of South Northern Illinois University is celebrating the birthday of Paul Carolina, and Carl Pomerance, University of Georgia. Erdos in conjunction with the meeting. They have arranged Mathematical topics in fluid dynamics, Susan J. Fried­ for a one-hour mathematical address by Paul Erdos and for a lander. banquet in his honor (see next page). The Erdos lecture will Combinatorics, Zoltan Furedi, University of Illinois, be at 4:15 p.m., Thursday, May 20, in Room 100 of Cole Urbana. Hall. As noted above, a number of the Special Sessions at this Analytic number theory, Andrew J. Granville, Isaac meeting are coordinated with the Erdos Birthday Celebration. Newton Institute for the Mathematical Sciences. For further information contact John Selfridge of Northern Beautiful graph theory, Frank Harary, New Mexico Illinois University. State University. Stochastic processes, Mohsen Pourahmadi, Northern Social Event Illinois University. A banquet honoring Paul Erdos is planned for Thursday, History of mathematics, Jeanne LaDuke, DePaul Univer­ May 20. A cash bar reception from 6:30 p.m. to 7:30 sity. p.m will be followed by dinner at 7:30 p.m. The buffet Function theory, Linda R. Sons, Northern Illinois Uni­ dinner includes choice of salads, hand-carved roast baron versity. of beef, baked chicken, mixed vegetables, rice, rolls with Probabilistic methods, Joel H. Spencer, New York Uni­ butter, apple pie, and beverage. Tickets including tax and versity, Courant Institute of Mathematical Sciences. gratuity are $25 for each mathematician and $20 for each Discrete groups, Peter Waterman, Northern Illinois Uni­ of their guests. Tickets must be ordered by May 6, 1993. versity. Mail orders, including your name, affiliation, and a check

MAY/JUNE 1993, VOLUME 40, NUMBER 5 481 Meetings

payable to Northern Illinois University, should be sent to Super 8 Motel (20 minutes by car from campus) Math Conference Banquet, College of Continuing Education, 601 Highway 38, Rochelle, IL 61068 Northern Illinois University, DeKalb, IL 60115. Credit card Telephone: 815-562-2468 orders can be charged to Visa, MasterCard, or Discover by Single $38.40 Double $46.95 calling 815-753-0277. ·

Accommodations Food Service A block of sixty-three rooms has been reserved in the Holmes There are several restaurants and fast food establishments Student Center Guest Rooms. This air-conditioned facility is within walking distance of campus. A list of local restaurants located on campus and is a five-minute walk to DuSable Hall. will be available at the Registration Desk. The rate for a single room is $37.74 per night. The rate for a double room is $43.29 per night. The rate for a triple room is $48.84 per night. All rates include tax. To make a reservation Parking call 815-753-1444 (FAX 815-753-5099). Participants must Free parking is available in parking lots S and 38 located indicate they are attending the AMS meeting. west of DuSable Hall. Leave a note on your windshield Although rooms have not been blocked at the following indicating that you are attending the AMS meeting. Enter locations, information is included for your convenience. Rates lots S and 38 from Annie Glidden Road. Parking is likely are subject to change and include tax. Participants should make to be at a premium on campus at this time because of their own arrangements with the hotel of their choice and ask several construction projects. Do not use other parking lots for the AMS conference rate. The AMS is not responsible without first obtaining a visitor's permit from Campus Parking for rate changes or the quality of the accommodations Services. offered by these hotels/motels. Days Inn in DeKalb (15-minute walk to DuSable Hall) Travel and Local Information .1212 W. Lincoln Highway, DeKalb, IL 60115 Northern Illinois University is located in DeKalb, Illinois, 65 Telephone: 815-758-8661 miles west of Chicago on the East-West Tollway (I-88) and Single or Double $49.95 35 miles southeast of Rockford on Route 38. The campus is one and one-half miles north of I-88 on Annie Glidden Road, Ho Jo Inn (15-minute walk to DuSable Hall) which is the second DeKalb exit if traveling on I-88 from the 1321 W. Lincoln Highway, DeKalb, IL 60115 east and the first DeKalb exit if approaching from the west. Telephone: 815-756-7620 The DeKalb Limousine Service provides transportation to Single $38.85 Double $43.29 and from either O'Hare or Midway International Airports. A one-way trip to or from O'Hare costs $35 per person, and Motel 6 (15-minute walk to DuSable Hall) to or from Midway the cost is $45 per person. These rides 1116 W. Lincoln Highway, DeKalb, IL 60115 are cheaper when the limousine is shared. Prior reservations Telephone: 815-756-3398 are required. Call 800-892-2988 or 815-758-0631. Visa, Single $24.36 Double $31.02 MasterCard and American Express are accepted. Oxford Inn (10 minutes by car from campus) State Route 23 (at Oakland), DeKalb, IL 60115 Weather Telephone: 815-756-3552 The weather in northern Illinois in mid-May is unpredictable. Single $51.06 Double $57.72 Temperatures might be as high as the high 70s or as low as the mid-50s (Fahrenheit). It is recommended that participants Best Western Concord Inn (20 minutes by car from campus) bring clothes appropriate to either extreme, as well as for the Highway 251 and I-88, Rochelle, IL 61068 possibility of rain. Telephone: 815-562-5551 Single $55.11 Double $62.20

482 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Northern Illinois University

Directions to NIU. NIU's main Academic Buildings campus in DeKalb, Illinois is 18 Cole Hall located one mile north of the 14 DuSable Hall East-West TollwaV (1-88). The city is also accessible via state highways 38 and 23. First-time

vis~orsexiting from the East-West Tollway are advised to use the Annie Glidden exit as this is the most clearly marked apporach ·to the campus.

Parking. Visitor parking is available in a pay lot northeast of :* the Holmes Student Center at the -----J{!5;~>\_~:~:~_·'::.p:~---r. intersection of Lucinda Avenue , •• !"> • .:.::·::~~-:--:·.~.": r and Normal Road. s:: ?.( c::: c z m ~ co --.... ···::.:::·:·::.:::·:::_:_:.:_-· JS ...:::.··· (§ f E g. s:: m ~ !> z c s:: OJ m :II U1

·-..,..

~~-...,,, Exit: Annie Glidden Road (Second DeKalb exit if traveling from the east, first exit if approaching from the west.) e Presenters of Papers

Numbers following the-names indicate the speakers' positions on the program. • AMS Invited Lecturer * AMS Special Session Speaker

* Ahmad, I. A., 52 * Eremenko, A., 32 * Kleitman, D. J., 70 * Schmidt, W., 23 *Ajtai,M.,179 * Etemadi, N., 83 *Knill, E., 71 *Schmutz, E., 164 * Alford, W. R., 183 * Eyink, G. L., 112 * Kriz, I., 119 *Schroder, B. S., 151 * Alladi, K.. 7 * Farahmand, K., 155 *Lagarias, J. C., 184 Schroeder, M., 145 *Almgren, R., 132 * Faybusovich, L., 42 *Lalley, S. P., 87 *Schwenk, A. J., 170 * Anellis, I. H., 122 *Fisher, S. D., 101 * Lappan, P., I 03 * Selfridge, J. L., 185 * Apanasov, B., 63 * Fraughnaugh, K., 39 Lazarus, A. J., 75 Selvavel, K., 118 *Arnold, M., 96 *Freund, R. W., 99 * Lazebnik, F., 14 *Shea, D., 53 Baica,M., 78 *Friedlander, J. B., 94 *Lebovitz, N. R., 136 *Sherman, P. J., 51 *Baker, R., 35 • Friedlander, S., 125 *Lewis, J., 102 * Sidorenko, A., 1 * Basmajian, A., 62 * Fiiredi, Z., 176 * Lifschitz, A., 140 * Snevily, H. S., 13 *Bateman, P. T., 168 *Gartland, C., 41 *Lim, T.-C., 150 * S6s, V. T., 127 *Beck, J., 20, 177 *Gehring, F. W., 31, 157 Liu, D. D., 143 * Spencer, J. J., 180 * Beineke, L. W., 172 * Gilman, J., 60 *Lou, Y.-Q., 137 * Spencer, J., 188 * Bellout, H., 66 * Godbole, A. P., 82 *Lyons, R., 46, 173 * Steiger, W., 189 * Benbourenane, M., 148 * Goldbart, P. M., 135 • Lyons, R., 34 *Stevens, T. C., 161 *Bemoff, A. J., 67 * Goldenfeld, N., 69 *Mackey, J., 79 * Stewart, C. L., 9 * Bertozzi, A., I 09 * Goldston, D. A., 11 * Makagon, A., 152 * Subbarao, M. V., 182 Bialek, P., 76 * Golland, L. A., 124 * Maskit, B., 159 * Szegedy, M., 4 * Bialostocki, A., 121 * Golland, R. W., 123 *Masur, H., 108 * Srekely, L. A., 120 *Bloom, F., 68 *Golomb, S. W., 181 *McKee, T., 81 * Szemeredi, E., 165, 178 *Boley, D. L., 97 *Gragg, W. B., 26 *Mehlman, M. H., !53 * Tetali, P., 186 * Bollobas, B., 126 *Graham, R. L., 3 *Merzbach, U. C., 160 *Thomas, R., 17 * Brualdi, R. A., 24, 40 * Graham, S. W., 169 *Miles,J.,104 * Tijdeman, R., 166 *Burger, E. B., 19 *Granville, A. J., 22 *Minda, C. D., 30 Tonev, T. V., 115 * Byers, R., 43 *Griggs, J. R., 88 * Miner, R., 61 * Trifonov, 0., 167 * Calvetti, D., 147 Gu, W., 144 * Mohanty, S. K., 28 *Trotter, W. T., 2 *Canfield, R., 90 *Gunderson, D. S., 15 *Montgomery, H. L., 12 * Turner, R. E., 134 *Cassidy, P. J., 162 *Guy, R. K., 21 *Mozzochi, C. J., 91 * Vaaler, J.D., 131 *Cattaneo, F., 139 * Halberstam, H., 36 *Nagy, J. G., 98 * VanDooren, P., 25 Chen, F., 116 *Hall, P., 55 Natarajan, P., 146 *Vaughan, R. C., 10 *Chen, G.-Q., 110 * Harary, F., 175 *Nathanson, M. B., 163 * Vishik, M. M., 133 Chen, S., 74 * Hartsfield, N ., 80 * Necas, J., 64 *West, D. B., 16 *Cheng, J., 54 * Haynes, T., 171 *Newton, P. K., 65 *Wilson, R. M., 6 *Cheng, R., 49 *Hell, P., 38 *Nguyen, B., 48 *Wooley, T. D., 92 Choy, S.,114 Helou, C., 73 * Odlyzko, A. M., 57 *Wu, W.,154 *Chung, F. R., 18, 187 *Hensley, D., 129 *Pach, J., 5 *Xia, Y.,107 *Coffey, J., 47 Herbera, D., 142 * Philipp, W., 84 * Xiao, D., 100 *Conrey, B., 93 * Herron, D. A., 29 * Pinsky, M., 86 *Xu, D., 85 * Dargahi-Noubary, G. R., 50 * Hildebrand, A., 95 * Pittel, B., 89 * Yang, H., 138 Das, L., 117 * Jia, X.-D., 128 * Plantholt, M., 174 *Ye, T., 106 *Datta, B. N., 44 *Kahn, J., 58 * Pollington, A. D., 8 *Ye,Z., 56 *DiBenedetto, E., 111 Kalia, R.N., 141 Rath, N., 113 * Zabell, S., 156 *Diamond, H. G., 37 * Kapovich, M., 158 * Reichel, L., 149 Zemyan, S. M., 77 *Duren, P., 105 *Katona, G. 0., 72 • Robinson, C., 33 *Zeng, Z., 27 * Elliott, P., 130 *Kim, J. H., 59 * Rosenthal, J., 45

484 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY 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 June 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.

2:00p.m. On divisors of sums of integers. Thursday, May 20 (9) A. Sarkozy, Mathematical Institute of the Hungarian Academy of Sciences, Hungary, and C. L. Stewart*, University of Waterloo (882-11-15) 2:30p.m. On an additive question related to one of Erd6s. Special Session on Combinatorics, I (1 0) Andrew D. Pollington, Brigham Young University, and R. C. Vaughan*, Imperial College of Science & Technology, England (882-11-151) 1 :00 p.m.-3:50 p.m. 3:00p.m. Binary additive problems concerning primes and the 1 :00 p.m. On jumping constant conjecture for multigraphs. (11) circle method. (1) Vojtech Rodl, Emory University, and Alexander Daniel A. Goldston, San Jose State University Sidorenko*, Courant Institute of Mathematical (882-11-172) Sciences, New York University (882-05-174) 3:30 p.m. An additive problem of Erd6s with highly composite (Sponsored by Zoltan Furedi) (12) summands. Preliminary report. 1 :30 p.m. Incidence posets of trees in posets of large dimension. Hugh L. Montgomery, University of Michigan, Ann (2) Graham R. Brightwell, London School of Economics, Arbor (882-11-35) England, and William T. Trotter*, Bellcore, Morristown, New Jersey (882-06-162) (Sponsored by Zoltan Furedi) 2:00 p.m. Negative density results in Euclidean Ramsey Theory. (3) R. L. Graham, AT&T Bell Laboratories, Murray Hill, Friday, May 21 New Jersey (882-05-140) 2:30 p.m. On a problem of embedding graphs into the plain. (4) Mario Szegedy, AT&T Bell Laboratories, Murray Hill, Special Session on Combinatorics, II New Jersey (882-05-160) (Sponsored by Zoltan Furedi) 8:00 a.m.-10:50 a.m. 3:00 p.m. Some geometric applications of extremal graph theory. (5) Janos Pach, Courant Institute of Mathematical 8:00 a.m. On generalizations of the de8ruijn-Erd6s Theorem. Sciences, New York University (882-05-154) (13) Hunter S. Snevily, California Institute of Technology (Sponsored by Zoltan Furedi) (882-05-175) 3:30 p.m. Inequalities on codes with restricted distances. 8:30 a.m. New constructions of bipartite graphs on m,n vertices, (6) Richard M. Wilson, California Institute of Technology (14) with many edges, and without small cycles. (882-05-157) (Sponsored by Zoltan Furedi) Felix Lazebnik*, University of Delaware, V. A. Ustimenko, Kiev State University, Ukraine, and A. J. Woldar, Villanova University (882-05-94) Special Session on Analytic Number Theory, I 9:00 a.m. Turan type results for graphs with many triangles. (15) P. Erdos, Hungarian Academy of Science, Hungary, Z. Furedi, University of Illinois, Urbana-Champaign, R. 1 :00 p.m.-3:50 p.m. Gould and D. S. Gunderson*, Emory University (882-05-187) 1 :00 p.m. ·Schur's partition theorem, companions, refinements 9:30a.m. On Erd(Js problem about bandwidth of graphs. (7) and generalizations. (16) Jianfang Wang, Academia Sinica, People's Republic Krishnaswami Alladi*, University of Florida, of China, Douglas B. West*, University of Illinois, Gainesville, and Basil Gordon, University of Urbana-Champaign, and Bing Yang, Northwest California, Los Angeles (882-11-06) (Sponsored by Normal University, China (882-05-163) (Sponsored by George E. Andrews) Zoltan Furedi)

1 :30 p.m. Normality to non-integer bases. 10:00 a.m. Hadwiger's conjecture for K 6 -free graphs. (8) Andrew D. Pollington, Brigham Young University (17) Robin Thomas, Georgia Institute of Technology (882-11-122) (882-05-161) (Sponsored by Zoltan Furedi)

MAY/JUNE 1993, VOLUME 40, NUMBER 5 485 Program of the Sessions

Friday, May 21 (cont'd) Special Session on Function Theory, I 8:30 a.m.-10:20 a.m. B:30 a.m. Ahlfors a-regular cuNes and bilipschitz homogoneity. 10:30 a.m. Eigenvalues and separators of graphs. (29) Preliminary report. (1 B) Fan R.K Chung, Bellcore, Morristown, New Jersey David A. Herron*, University of Cincinnati, and (BB2-05-176) Manouchehr Ghamsari, Christopher Newport University (BB2-30-B7) 9:00a.m. Holder conditions on the reciprocal of the density of Special Session on Number Theory, I (30) the hyperbolic metric. Preliminary report. C. David Minda, University of Cincinnati (8B2-30-19) 9:30 a.m. Chebyshev polynomials and discrete groups. 8:30 a.m.-10:50 a.m. (31) F. W. Gehring*, University of Michigan, Ann Arbor and University of Texas, Austin, and G. J. Martin, B:30 a.m. Transcendence and dependence via continued University of Auckland, New Zealand (BB2-30-75) (19) fractions. 10:00 a.m. Proof of an extremal property of Chebyshev Edward B. Burger, Williams College (BB2-11-125) (32) polynomials conjectured by P. Erdt5s. 9:00 a.m. On the uniform distribution of Kronecker sequences. Alex Eremenko, Purdue University, West Lafayette (20) Preliminary report. (BB2-30-144) Jozsef Beck, Rutgers University, New Brunswick (BB2-11-71) (Sponsored by Michael A. Filaseta) 9:30 a.m. When are elliptic cuNes almost periodic? Invited Address (21) Richard K. Guy, University of Calgary (BB2-11-132) 10:00 a.m. The scarcity of squarefree binomial coefficients. 11:00 a.m.-11 :50 a.m. (22) Andrew J. Granville*, University of Georgia, and (33) Chaos in dynamical systems. Olivier Ramare, Institute for Advanced Study Clark Robinson, Northwestern University (BB2-11-124) (BB2-34-1 B6) 10:30 a.m. Polynomial exponential equations. {23) Wolfgang Schmidt, University of Colorado, Boulder (BB2-11-131) Invited Address

1 :30 p.m.-2:20 p.m. Special Session on Advances In Linear Algebra: Theory, Computation, Application, I (34) Trees, Hausdorff dimension, and probability. Russell Lyons, Indiana University, Bloomington (BB2-05-130) 8:30 a.m.-10:50 a.m. B:30 a.m. Regions in the complex plane containing the Special Session on Analytic Number Theory, II (24) eigenvalues of a matrix. Preliminary report. Richard A. Brualdi* and Stephen Mellendorf, University of Wisconsin, Madison (BB2-15-120) 3:00 p.m.-4:20 p.m. 9:00 a.m. The periodic Schur decomposition. Algorithms and 3:00 p.m. How to improve a Rosser-lwaniec sieve estimate. (25) applications. Preliminary report. (35) Roger Baker, Brigham Young University (BB2-11-36) Paul VanDooren, University of Illinois, (Sponsored by Andrew J. Granville) Urbana-Champaign (BB2-65-1 09) (Sponsored by 3:30 p.m. Functions associated with sieves. Gregory S. Ammar) {36) H. Halberstam*, H. Diamond, University of Illinois, 9:30 a.m. A parallel divide and conquer algorithm for the Urbana-Champaign, and H.-E. Richert, University of (26) generalized real symmetric definite tridiagonal Ulm, Germany (BB2-11-150) eigenproblem. Preliminary report. 4:00p.m. Functions associated with sieves, II. Carlos F. Borges and William B. Gragg*, Naval (37) Harold G. Diamond*, H. Halberstam, University of Postgraduate School {BB2-65-11 B) (Sponsored by Illinois, Urbana-Champaign, and H.-E. Richert, Gregory S. Ammar) University of Ulm, Germany (BB2-11-0B) 10:00 a.m. Advances in the numerical algebraic eigenproblem. (27) Preliminary report. Zhonggang Zeng, Northern Illinois University Special Session on Beautiful Graph Theory, I {BB2-65-1 06) 10:30 a.m. Eigenvalue and inverse eigenvalue problems for 3:00 p.m.-4:20 p.m. (2B) Toeplitz matrices. Preliminary report. Santosh Kumar Mohanty* and Gregory S. Ammar, 3:00p.m. Digraph homomorphisms. Northern Illinois University (BB2-65-11 0) (3B) Pavol Hell, Simon Fraser University (BB2-05-90)

486 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY ------~~~-~-·-···---~-~--~~Program of the Sessions

3:30 p.m. The number of edges in a maximal triangle-free graph. 6:00 p.m. Stochastic analysis for measuring income inequality (39) Curtis Barefoot, New Mexico Institute of Technology, (52) and poverty. Karen Casey, David Fisher, Kathryn Fraughnaugh*, Ibrahim A. Ahmad, Northern Illinois University University of Colorado, Denver, and Frank Harary, (882-60-92) (Sponsored by Mohsen Pourahmadi) New Mexico State University, Las Cruces (882-05-152) 4:00p.m. 4-cockades and inverse sign patterns. (40) Richard A. Brualdi, University of Wisconsin, Madison Special Session on Function Theory, II (882-05-129)

3:00 p.m.-4:50 p.m. Special Session on Advances In Linear Algebra: 3:00 p.m. A sharp norm estimate for the conjugate function. Theory, Computation, Application, II (53) Matts Essen, Uppsala University, Sweden, Daniel Shea*, University of Wisconsin, Madison, and Charles Stanton, California State University, San Bernardino 3:00 p.m.-5:20 p.m. (882-42-99) 3:00 p.m. Numerical minimization of the Landau-deGennes free 3:30 p.m. Some local properties of the solutions of second-order (41) energy liquid crystals. Preliminary report. (54) differential equations. Preliminary report. Chuck Gartland* and Tim Davis, Kent State Jiuyi Cheng* and John Rossi, Virginia Polytechnic University, Kent (882-65-116) Institute and State University (882-30-62) 3:30 p.m. Interior-point methods for matrix linear programming 4:00 p.m. Computation of Nevanlinna error terms. Preliminary (42) problems. Preliminary report. (55) report. L. Faybusovich, University of Notre Dame Peter Hall, University of Alabama, Tuscaloosa (882-58-1 07) (882-30-44) 4:00 p.m. Distances and conditioning in computational control. 4:30 p.m. The best error terms of classical functions. (43) Preliminary report. (56) Linda Sons and Zhuan Ye*, Northern Illinois Ralph Byers, University of Kansas (882-93-121) University (882-30-145) 4:30 p.m. Feedback stabilization of a second-order system: A (44) nonmodal approach. Biswa Nath Datta* and Fernando Rincon, Northern Illinois University (882-93-105) (Sponsored by Gregory Special Session on Probabilistic Methods, I S. Ammar) 5:00 p.m. A cell structure for the set of autoregressive systems. 3:00 p.m.-4:20 p.m. (45) Joachim Rosenthal*, University of Notre Dame, and Xiaochang Wang, Texas Tech University (882-93-88) 3:00 p.m. Minimal absolute values of random trigonometric (57) polynomials. A. M. Odlyzko, AT&T Bell Laboratories, Murray Hill, Jersey (882-60-1 03) Special Session on Stochastic Processes, I New 3:30 p.m. A norma/law for matchings. Preliminary report. (58) Jeff Kahn, Rutgers University, New Brunswick 3:00 p.m.-6:20 p.m. (882-05-167)

3:00 p.m. Branching processes in varying environments. 4:00 p.m. On random matchings in regular graphs. (46) Russell Lyons, Indiana University, Bloomington (59) Jeff Kahn and Jeong Han Kim*, Rutgers University, (882-60-76) New Brunswick (882-05-166) 3:30 p.m. Regular conditional probabilities and a linear (47) birth-death predator-prey process. John Coffey, Purdue University, Calumet Campus Special Session on Discrete Groups, I (882-60-09) 4:00 p.m. Limiting behavior of the connectivity function of (48) oriented percolation with long range. Preliminary 3:00 p.m.-4:50 p.m. report. Bao Nguyen*, Illinois Institute of Technology, and 3:00 p.m. The elliptic order algorithm. Wei-Shih Yang, Temple University (882-60-05) (60) Jane Gilman, Rutgers University, Newark (882-20-74) 4:30p.m. Operator valued weight functions on the torus: 3:30 p.m. Discreteness conditions in PU(2, 1), /. (49) Factorization and invariant subspaces. (61) Robert Miner* and Ara Basmajian, University of Ray Cheng, University of Louisville (882-60-03) Oklahoma (882-51-137) 5:00p.m. Stochastic modeling of seismic records based on 4:00 p.m. Discreteness conditions in PU(2, 1), //. (50) deterministic formulations. (62) Ara Basmajian* and Robert Miner, University of G. R. Dargahi-Noubary, Bloomsburg University of Oklahoma (882-51-138) Pennsylvania (882-60-13) 4:30 p.m. Strange action of cocompact 3-hyperbo/ic groups on 5:30 p.m. AR cyc/ostationary processes and period uncertainty. (63) H5 and spaces fibering over closed hyperbolic (51) Peter J. Sherman, Iowa State University (882-60-148) 3-manifolds. Preliminary report. (Sponsored by Mohsen Pourahmadi) Boris Apanasov, University of Oklahoma (882-57-37)

MAY/JUNE 1993, VOLUME 40, NUMBER 5 487 Program of the Sessions

4:45p.m. On Sidon sequences of even orders. (cont'd) (74) Sheng Chen, Southwest Texas State University Friday, May 21 (882-11-38) 5:00p.m. Primes of the fifth cyclomatic field. Preliminary report. (75) Andrew J. Lazarus, Berkeley, California (882-11-86) Special Session on Mathematical 5:15p.m. Ramanujan's formulas far the coefficients in the Topics in Fluid Dynamics, I (76) expansions of certain modular farms. Preliminary report. Paul Bialek, University of Illinois, Urbana-Champaign 3:00 p.m.-5:50 p.m. (882-11-168)

3:00 p.m. Fractal dimension of short trajectories from the 5:30p.m. A generalized approach to the 3x + 1 problem. (64) nan-Newtonian attractar. Preliminary report. (77) Preliminary report. Stephen M. Zemyan, Pennsylvania State University, J. Necas*, Northern Illinois University, and J .. Malek, Charles University, Czechoslovakia (882-35-31) University Park (882-11-170) (Sponsored by Hamid Sellout) 5:45 p.m. Unified algorithm to find existent units in algebraic (78) number fields of the farm Q(w). Preliminary report. 3:30 p.m. Singular nonlinear Schrodinger limits. Malvina Baica, University of Wisconsin, Whitewater (65) Paul K. Newton, University of Illinois, (882-12-139) Urbana-Champaign (882-76-17) 4:00 p.m. Yaung measure-valued solutions far non-Newtonian (66) incompressible fluids. Preliminary report. H. Bellout*, F. Bloom and J. Necas, Northern Illinois University (882-35-30) Saturday, May 22 4:30 p.m. Advection of a passive scalar by dipolar vortex couple. (67) Andrew J. Bernoff* and Joseph F. Lingevitch, Northwestern University (882-76-33) (Sponsored by Susan J. Friedlander) Special Session on Beautiful Graph Theory, II 5:00p.m. Attractars of non-Newtonian and bipolar viscous fluids. (68) Preliminary report. 8:00 a.m.-9:20 a.m. Frederick Bloom, Northern Illinois University (882-76-66) (Sponsored by Susan J. Friedlander) 8:00 a.m. Groupies in graphs. Preliminary report. (79) John Mackey, University of Hawaii, Honolulu 5:30 p.m. Renormalisatian group theory far similarity solutions of (882-05-04) (69) the second kind in parous medium flaw and the propagation of turbulence. 8:30 a.m. A family of sparse graphs of large sum number. Nigel Goldenfeld, University of Illinois, (80) Nora Hartsfield*, Western Washington University, and Urbana-Champaign (882-76-68) (Sponsored by Susan W. F. Smyth, McMaster University (882-05-189) J. Friedlander) 9:00a.m. Haw chordal graphs work. (81) Terry McKee, Wright State University, Dayton (882-05-51) Special Session on Combinatorics, Ill Special Session on Stochastic Processes, II 4:30 p.m.-5:50 p.m. 4:30 p.m. Asymptotic enumeration of full graphs. 8:00 a.m.-10:50 a.m. (70) D. J. Kleitman*, F. Lasaga and L. J. Cowen, Massachusetts Institute of Technology (882-05-153) 8:00 a.m. Poisson and Poisson process approximations for (82) random tournaments. Preliminary report. 5:00p.m. Graph generated union-closed families and the Anant P. Godbole* and Jinghua Qian, Michigan (71) union-closed sets conjecture. Technological University (882-60-32) Emanuel Knill, Los Alamos National Laboratory (882-05-155) 8:30 a.m. Necessary and sufficient conditions far LP (83) convergence of sums of independent random 5:30 p.m. Two-part shadows. variables. (72) G. 0. H. Katona, University of Illinois, Nasrollah Etemadi, University of Illinois, Chicago Urbana-Champaign and Mathematical Institute (882-60-70) of Hungarian Academy of Sciences, Hungary (882-05-173) (Sponsored by Zoltan Furedi) 9:00 a.m. Empirical distribution functions and strang (84) approximation theorems for dependent random variables. Walter Philipp, University of Illinois, Session on Theory of Numbers Urbana-Champaign (882-60-26) 9:30 a.m. Differential geometrical structures related to 4:30 p.m.-5:55 p.m. (85) forecasting error variance ratios. Daming Xu, University of Oregon (882-60-133) 4:30 p.m. Power reciprocity of Jacobi sums. 10:00 a.m. Lyanpunav exponent of the stochastic harmonic (73) Charles Helou, Pennsylvania State University, (86) oscillator. Delaware County Campus (882-11-34) Mark Pinsky, Northwestern University (882-60-14)

488 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY ·················-··~················ ·······································-·······-·····--···------Program of the Sessions

10:30 a.m. Random walks on the free groups and homogeneous 10:00 a.m. Schur-/ike algorithms for the fast triangular (87) trees. (99) factorization of general Hankel and Toeplitz matrices. Steven P. Lalley, Purdue University, West Lafayette Preliminary report. (882-60-97) Roland W. Freund, AT&T Bell Laboratories, Murray Hill, New Jersey (882-65-112) (Sponsored by Gregory S. Ammar) 10:30 a.m. Iterative refinement with parallel algorithms for toeplitz Special Session on Probabilistic Methods, II (1 00) matrices. Preliminary report. I. Koltracht and D. Xiao•, University of Connecticut, Storrs (882-65-117) (Sponsored by Gregory S. 8:00 a.m.-9:20 a.m. Am mar) 8:00a.m. On the distribution of sums of residues. (88) Jerrold R. Griggs, University of South Carolina, Columbia (882-11-190) Special Session on Function Theory, Ill 8:30 a.m. An upper bound for the solvability probability of a (89) random stable roommates instance. 8:30 a.m.-10:50 a.m. Robert W. Irving, University of Glasgow, Scotland, and Boris Pittel*, Ohio State University, Columbus 8:30a.m. A quadratic extremal problem on the Dirichlet space. (882-05-55) (Sponsored by David L. Gross) (101) Stephen D. Fisher, Northwestern University (882-30-28) 9:00 a.m. Connectedness and isolated points. (90) Rod Canfield, University of Georgia (882-05-180) 9:00 a.m. On vety weak solutions of certain elliptic systems. (102) John Lewis, University of Kentucky (882-30-27) 9:30 a.m. Normal families, derivatives, and uniformity. (1 03) Preliminary report. Special Session on Analytic Number Theory, Ill Peter Lappan, Michigan State University (882-30-141) 10:00 a.m. An inequality on the logarithmic derivative. 8:30 a.m.-10:50 a.m. (104) Joseph Miles*, University of Illinois, Urbana-Champaign, and John Rossi, Virginia 8:30 a.m. Application of the Bombieri-Sperber construction to Polytechnic Institute and State University (882-30-142) (91) estimating hybrid exponential sums on quasiprotective 10:30 a.m. Extremal functions in invariant subspaces of Bergman varieties over finite fields. (1 05) spaces. Preliminary report. C. J. Mozzochi, Princeton University (882-11-48) Peter Duren•, University of Michigan, Ann Arbor, Dmitry Khavinson, University of Arkansas, 9:00 a.m. New estimates for smooth Weyl sums. Fayetteville, and Harold S. Shapiro, Royal Institute of (92) Trevor D. Wooley, University of Michigan, Ann Arbor Technology, Sweden (882-30-63) (882-11-12) 9:30a.m. A conjecture for the sixth moment of the zeta function. (93) Brian Conrey, Oklahoma State University, Stillwater (882-11-123) Special Session on Discrete Groups, II 10:00 a.m. Estimates for £-functions. (94) John B. Friedlander•, University of Toronto, Bill Duke 9:00 a.m.-10:20 a.m. and Henryk lwaniec, Rutgers University, New 9:00 a.m. The numerical computation of the Douady-Earle Brunswick (882-11-149) (1 06) extension and Teichmuller mappings. 10:30 a.m. Practical numbers. Taiping Ye, University of Connecticut, Storrs (95) Adolf Hildebrand, University of Illinois, (882-30-50) Urbana-Champaign (882-11-22) 9:30 a.m. Cohomology of mapping class groups. Preliminary (1 07) report. Henry H. Glover, Guido Mislin, Ohio State University, Columbus, and Vining Xia*, Northwestern University Special Session on Advances In Linear Algebra: (882-55-49) Theory, Computation, Application, Ill 10:00 a.m. Random walk on Teichmuller space. Preliminary (1 08) report. Howard Masur, University of Illinois, Chicago 8:30 a.m.-10:50 a.m. (882·30-85) 8:30 a.m. A new method for wavepacket propagation. (96) Preliminary report. Mark Arnold, Iowa State University (882-65-119) Special Session on Mathematical (Sponsored by Gregory S. Ammar) Topics in Fluid Dynamics, II 9:00 a.m. Recursive total/east squares. Preliminary report. (97) DanielL. Boley, University of Minnesota, Minneapolis (882-65-111} 9:00 a.m.-10:50 a.m. 9:30a.m. Fast solutions to ill~r;onditioned, banded toeplitz least 9:00 a.m. Singularities in surface tension driven flows. (98) squares problems. Preliminary report. (109) Andrea Bertozzi*, Michael Brenner, Todd F. Dupont James G. Nagy, Southern Methodist University and Leo P. Kadanoff, University of Chicago (882-65-115) (882-76-67)

MAY/JUNE 1993, VOLUME 40, NUMBER 5 489 Program of the Sessions

Saturday, May 22 (cont'd) Special Session on History of Mathematics, I

9:30 a.m.-10:50 a.m. 9:30 a.m. Singular limit problems in conseNation laws. {110) Gui-Qiang Chen, University of Chicago {882-35-40) 9:30 a.m. The role of Catherine the Great in the development of {122) mathematics education in Russia. Preliminary report. 10:00 a.m. On the local and global behaviour of solutions to the Irving H. Anellis, Modern Logic Publishing, Iowa {111) singular parabolic equation u1 = ~lnu. {882-01-53) E. DiBenedetto, Northwestern University {882-76-96) {Sponsored by Susan J. Friedlander) 10:00 a.m. Euler's early use of trigonometric series. {123) Ronald William Golland, Nalco Chemical Company, 10:30 a.m. Energy dissipation without viscosity in ideal Illinois {882-01-84) {112) hydrodynamics. Gregory L. Eyink, University of Illinois, 10:30 a.m. The richness of the history of geometry in the 19th Urbana-Champaign {882-76-95) {Sponsored by Susan {124) century. J. Friedlander) Louise Ahrndt Galland, University of Chicago {882-01-83)

Session on Analysis, Geometry, Probability Invited Address 9:00 a.m.-10:25 a.m. 11:00 a.m.-11:50 a.m. 9:00 a.m. Topological properties of some vector valued {113) sequence spaces generated by infinite matrices. Preliminary report. {125) Instabilities in fluid motion. Nandita Rath, Washington State University Susan Friedlander*, University of Illinois, Chicago, {882-40-1 00) and Misha Vishik, University of Texas, Austin {882-76-45) 9:15 a.m. A characterization of the second dual of C0 (S, A). {114) Stephen Choy*, National University of Singapore, Singapore, and James Wong, University of Calgary {882-46-01) Special Session on Combinatorics, V 9:30 a.m. The Bourgain algebra of the algebra of generalized {115) analytic functions. Preliminary report. Toma V. Tonev, University of Montana {882-46-135) 1 :00 p.m.-2:20 p.m.

9:45a.m. Compact Hankel and Toeplitz operators on C x D. 1 :00 p.m. Addition of residue classes modulo pn. {116) Charles Lin, Fudong Chen* and Bin Van, University {126) Bela Bollobas, University of Cambridge, England of Illinois, Chicago {882-47-82) {882-11-158)

10:00 a.m. On lifts of structure satisfying FK+I - a2 FK-I = 0. 1 :30 p.m. What is the structure of A+ A if A+ A is large? {117) Lovejoy Das, Kent State University {882-53-47) {127) Vera T. S6s, Hungarian Academy of Science, Hungary 10:15 a.m. Estimation of parameters from two-truncation {882-11-156) {Sponsored by Zoltan Furedi) {118) parameter families. 2:00 p.m. On a problem of Rohrbach for finite groups. Kandasamy Selvavel, Claflin College {882-62-91) {128) Xing-De Jia, Southwest Texas State University {882-11-80)

Special Session on Combinatorics, IV Special Session on Analytic Number Theory, IV 9:30 a.m.-10:50 a.m. 1 :00 p.m.-2:20 p.m. 9:30a.m. Lower bounds for chromatic numbers of hypergraphs. {119) The topological method. Igor Kriz, Chicago University {882-05-164) 1 :00 p.m. The number of steps in the Euclidean algorithm. {Sponsored by Zoltan Furedi) {129) Doug Hensley, Texas A&M University, College Station {882-11-11) 10:00 a.m. The crossing number of a graph on a compact {120) 2-manifold. 1 :30 p.m. Some remarks on the prime number theorem. F. Shahrokhi, 0. Sykora, L. A. Szekely* and I. Vrio, {130) P.D.T.A. Elliott, University of Colorado, Boulder University of New Mexico {882-05-159) {882-11-24) 10:30 a.m. Some recent developments of the Erdos Ginzburg Ziv 2:00p.m. Radial analogues of the Beurling-Selberg functions. {121) theorem. {131) Jeffrey J. Holt and Jeffrey D. Vaaler*, University of A. Bialostocki, University of Idaho {882-05-169) Texas, Austin {882-11-07)

490 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Program of the Sessions

2:00 p.m. Structure of the set of closure operators on a given Special Session on Mathematical (145) set. Topics in Fluid Dynamics, Ill Marcin Schroeder, Southern Illinois University, Carbondale (882-06-184)

1 :00 p.m.-5:50 p.m. 2:15p.m. Mazes with more than one printmouse. (146) Ponnammal Natarajan, Anna University, India 1 :00 p.m. Anistropy in Hele-Shaw flow. (882-68-73) (132) Robert Almgren, University of Chicago (882-76-42) 1 :30 p.m. WKB and spectral problems, arising in hydrodynamics. (133) Misha M. Vishik, University of Texas, Austin Special Session on Advances In Linear Algebra: (882-76-64) Theory, Computation, Application, IV 2:00 p.m. Center manifold equations from hydrodynamics. (134) Robert E.L. Turner, University of Wisconsin, Madison (882-76-20) 1 :30 p.m.-3:20 p.m. 2:30 p.m. Crystalline liquids in shear flow: A laboratory for (135) nonequilibrium phenomena. 1:30 p.m. Adaptive iterative methods for linear systems of Paul M. Goldbart*, University of Illinois, (147) equations. Preliminary report. Urbana-Champaign, and Peter D. Olmsted, Exxon Daniela Calvetti, Stevens Institute of Technology Research and Engineering Company, Annandale, New (882-65-114) Jersey (882-76-89) (Sponsored by Susan J. Friedlander) 2:00p.m. Convergence results for the block-symmetric (148) Gauss-Seidel iteration for the non-symmetric case: An 3:00 p.m. Informal Discussion application to the convection-diffusion equation. 3:30 p.m. Local hydrodynamic instabilities in rotating stars. Preliminary report. (136) Norman R. Lebovitz*, University of Chicago, and R. E. Bank, University of California at San Diego, La Alexander Lifschitz, University of Illinois, Chicago Jolla, and Mohamed Benbourenane*, Northern Illinois (882-76-41) (Sponsored by Susan J. Friedlander) University (882-65-1 08) 4:00p.m. Alfvenic perturbations in a stellar wind with a spiral 2:30 p.m. Generalized AD/ iteration. Preliminary report. (137) magnetic field in the equatorial plane. (149) Lothar Reichel, Kent State University, Kent Yu-Qing Lou, University of Chicago (882-76-72) (882-65-113) (Sponsored by Susan J. Friedlander) 3:00 p.m. On iterative convergence of matrix equations. 4:30 p.m. Wave packets, bifurcations and chaos in geophysical (150) Preliminary report. (138) flows. Teck-Cheong Lim, George Mason University Huijun Yang, University of Chicago (882-76-65) (882-15-52) (Sponsored by David H. Singman) (Sponsored by Susan J. Friedlander) 5:00 p.m. Nonlinear restrictions on turbulent transport and (139) dynamo action. Fausto Cattaneo*, Louis Tao and Samuel I. Special Session on Stochastic Processes, Ill Valnshtein, University of Chicago (882-76-39) (Sponsored by Susan J. Friedlander) 5:30 p.m. Comparative study of nonaxisymmetric instabilities of 1 :30 p.m.-4:50 p.m. (140) axisymmetric equilibria in fluids and plasmas. Eliezer Hameiri, Courant Institute of Mathematical 1 :30 p.m. On the completeness of the spectral domain for Sciences, New York University, and Alexander (151) harmonizable processes. Lifschitz*, University of Illinois, Chicago (882-76-43) Abol G. Miamee and Bernd S. W. Schroder*, (Sponsored by Anatoly S. Libgober) Hampton University (882-28-69) 2:00p.m. An example of a periodically correlated sequence (152) whose spectral domain is not complete. Preliminary General Session report. A. Makagon* and H. S&lehl, Michigan State University (882-60-81) 1 :00 p.m.-2:25 p.m. 2:30 p.m. Prediction and moving average representation for 1:00 p.m. Mathematics in the Sulbas: Geometry and geometric (153) strongly harmonizable processes. (141) algebra. Marc H. Mehlman, University of Pittsburgh, R. N. Kalia, Saint Cloud State University (882-01-98) Johnstown (882-60-143) 1:15 p.m. Bezout and semihereditary power series rings. 3:00p.m. Informal Discussion (142) Delors Herbera, Rutgers University, New Brunswick 3:30 p.m. Inference for heavy tailed distributions. (882-16-188) (154) K. B. Athreya, S. N. Lahiri, Iowa State University, and 1:30 p.m. Further results of The Channel Assignment Problem. Wei Wu*, University of Illinois, Urbana-Champaign (143) Daphne D. Liu, California State University, Los (882-60-23) Angeles (882-05-128) (Sponsored by Michael J. Hoffman) 4:00 p.m. Random polynomials. (155) K. Farahmand, University of Ulster, Nothern Ireland the generalized prisms. 1:45 p.m. On diameters of (882-60-02) (144) Welzhen Gu*, Southwest Texas State University, and Songlin Tian, Central Missouri State University 4:30 p.m. Alan Turing and the centra/limit theorem. (882-05-46) (156) Sandy Zabell, Northwestern University (882-01-177)

MAY/JUNE 1993, VOLUME 40, NUMBER 5 491 ····~~!!%.•••••••••.m.a,. ;r······ Program of the Sessions

5:30 p.m. Upper bounds for B3 -sequences. (cont'd) (169) S. W. Graham, Michigan Technological University Saturday, May 22 (882-11-25)

Special Session on Discrete Groups, Ill Special Session on Beautiful Graph Theory, Ill 1 :30 p.m.-2:50 p.m. 1 :30 p.m. Iterated commutator for a Fuchsian group. 2:30 p.m.-5:20 p.m. (157) F. W. Gehring*, University of Michigan, Ann Arbor and University of Texas, Austin, and G. J. Martin, 2:30 p.m. The color permuting group of an isomorphic University of Auckland, New Zealand (882-30-78) (170) factorization. Michigan University 2:00p.m. Complex projective structures with given monodromy. Allen J. Schwenk, Western (158) M. Kapovich, University of Utah (882-30-29) (882-05-185) 2:30 p.m. Remarks on a remark of Jorgenson. Preliminary 3:00 p.m. Bounds on the double domination number of a graph. (159) report. (171) Frank Harary, New Mexico State University, and Bernard Maskit, State University of New York, Stony Teresa Haynes*, East Tennessee State University Brook (882-30-93) (882-05-1 04)

3:30p.m. Some results on independent distance domination in (172) graphs. Preliminary report. Special Session on History of Mathematics, II Lowell W. Beineke*, Indiana University-Purdue University, Ft. Wayne, and Michael A. Henning, 2:00 p.m.-4:45 p.m. University of Natal, Republic of South Africa (882-05-147) 2:00p.m. Lie's "Galois theory of differential equations" 1: (160) Historical background. Preliminary report. 4:00 p.m. If a graph appears symmetrical must it be Uta C. Merzbach, LHM Institute and Smithsonian (173) symmetrical? Institution (882-01-127) Russell Lyons, Indiana University, Bloomington (882-05-79) 2:45 p.m. Informal Discussion 3:00 p.m. Lie's "Galois theory of differential equations" II: Lie. 4:30 p.m. Graphical factorizations. (161) T. Christine Stevens, Saint Louis University (174) Mike Plantholt, Illinois State University (882-05-101) (882-01-134) Some methods of destroying the automorphisms of a 3:45 p.m. Informal Discussion 5:00p.m. (175) graph. 4:00 p.m. Lie's Galois theory of differential equations: Ill The Frank Harary, New Mexico State University, Las (162) algebraic approach. Preliminary report. Cruces (882-05-1 02) Phyllis Joan Cassidy, Smith College (882-01-21)

Special Session on Number Theory, II Special Session on Probabilistic Methods, Ill

2:30 p.m.-5:50 p.m. 3:00 p.m.-5:20 p.m. 2:30 p.m. Extensions of Freiman's inverse theorem in additive (163) number theory. 3:00 p.m. A random representation of the complete bipartite Melvyn B. Nathanson, Herbert H. Lehman College, (176) graph. City University of New York (882-11-58) Zoltan Furedi, University of Illinois, 3:00p.m. The order of a typical matrix. Urbana-Champaign (882-05-182) (164) Eric Schmutz, Drexel University (882-11-61) 3:30 p.m. On the Lovasz local/emma. Preliminary report. 3:30p.m. On the solvabilty of the equation x + y = z2 in the finite (177) Jozsef Beck, Rutgers University, New Brunswick ( 165) partition of integers. (882-05-56) (Sponsored by Joel H. Spencer) Endre Szemeredi, Rutgers University, New Brunswick (882-11-18) (Sponsored by Michael A. Filaseta) 4:00 p.m. Embedding bounded degree trees into graphs. 4:00p.m. Complementing sets of integers. (178) Endre Szemeredi, Rutgers University, New Brunswick (166) R. Tijdeman, University of Leiden, Netherlands (882-05-165) (Sponsored by Zoltan Furedi) (882-11-59) 4:30 p.m. First-order properties of random substructures. 4:30 p.m. On the distribution of squarefu/1 numbers in short (179) Miklos Ajtai, IBM Almaden Research Center, San ( 167) intervals. Jose, California (882-05-183) (Sponsored by Joel H. Michael Filaseta and Ognian Trifonov*, University of Spencer) South Carolina, Columbia (882-11-171) 5:00 p.m. Expressing a positive integer as a sum of a given 5:00 p.m. Threshold for collapsibility in random graphs. (168) number of distinct squares of positive integers. (180) Preliminary report. Paul T. Bateman*, Adolf Hildebrand and George B. E. M. Palmer and Joseph J. Spencer*, Michigan Purdy, University of Illinois, Urbana-Champaign State University (882-05-57) (882-11-136)

492 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Program of the Sessions

Sunday, May 23 Special Session on Probabilistic Methods, IV 9:00 a.m.-10:50 a.m. Special Session on Number Theory, Ill 9:00 a.m. Asymptotic bases for numbers by probability methods. (186) Prasad Tetali, AT&T Bell Laboratories, Murray Hill, a.m.-11:20 a.m. New Jersey (882-11-54) (Sponsored by Joel H. 9:00 Spencer) 9:00 a.m. Equality among number-theoretic functions. 9:30 a.m. Eigenvalues and routing in graphs. (1 81) Solomon W. Golomb, University of Southern (1 87) Fan R. K. Chung, Bellcore, Morristown, New Jersey California (882-11-16) (882-05-1 81) 9:30 a.m. On composite n satisfying ,P(n) = 1(modn). Preliminary 10:00 a.m. The Janson inequalities. (1 82) report. (188) Joel Spencer, Courant Institute of Mathematical M. V. Subbarao, University of Alberta (882-11-60) Sciences, New York University (882-05-179) 10:00 a.m. Some aspects of Carmichael numbers and the 10:30 a.m. Bounds on the expected number of k-sets. (1 83) Erd6s-AGP gap. (1 89) William Steiger, Rutgers University, New Brunswick William R. Alford, University of Georgia (882-11-178) (882-52-146) (Sponsored by Joel H. Spencer) 10:30 a.m. Density bounds for the 3x+ 1 problem. Preliminary (1 84) report. Andy R. Magid David Applegate and Jeffrey C. Lagarias*, AT&T Associate Secretary Bell Laboratories, Murray Hill, New Jersey (882-11-1 O) Norman, Oklahoma 11 :00 a.m. On some problems of Paul Erd6s. (185) John L. Selfridge, Northern Illinois University (882-11-126)

CONTEMPORARY MATHEMATICS Representation Theory of Groups and Algebras Ronald L. Lipsman, Jeffrey Adams, Rebecca A. Herb, StephenS. Kudla, Jian-Shu Li, and Jonathan M. Rosenberg, Editors Volume 745

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

.};~'-'\:\-\EMAr1(' J~,~"' 0 '"", & '1> All prices subject to change. Free shipment by surface: for air delivery, please add $6.50 per title. Prepayment required. Order from: American ~ ! i & 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 w1th VISA ~. .' or MasterCard. Residents of Canada, please include 7% GST. ~l!NDED \~<+:,'+>

MAY/JUNE 1993, VOLUME 40, NUMBER 5 493 International Joint Mathematics Meetings Vancouver, British Columbia, Canada, August 15-19, 1993 Supplement to Announcement in April Notices

Please refer to the First Announcement for this meeting, which The Joint Policy Board for Mathematics public address begins on page 366 in the April 1993 issue of the Notices. scheduled for Tuesday evening has been cancelled. The Important Deadlines from the preliminary announcement are reproduced for convenience. The forms for Preregistra­ Gage Residence Accommodations tionffours/Hotel, Walter Gage Residence reservations, and The rates listed in the first announcement for Walter Gage MAA Minicourses are located at the back of this issue. Residence are for rooms only and do not include any meals.

Joint AMS-CMS Sessions IMPORTANT DEADLINES The title of the Joint Invited Address to be given by Robert E. Gompf has been changed to Cutting and pasting with AMS-CMS Special Session Abstracts Expired symplectic manifolds. AMS Abstracts For Consideration for Special Sessions Expired The Joint Invited Address to be given by Jill C. Pipher is Of Contributed Papers May18 titled Harmonic analysis techniques for higher order elliptic MAA Abstracts of Contributed Papers May7 operators. ORDINARY Preregistration June 11 Hotel Accommodations (MMSB) June11 Tickets through Preregistration June11 AMS Sessions MAA Minicourse Preregistration (MAA) June 11 The Special Session on Random knotting and linking is co­ Hotel Changes and Cancellations (MMSB) July1 organized by De Witt L. Sumners, Florida State University. Gage Residence Accommodations (UBC) July 12 Motions for AMS Business Meeting July 16 CMS General Meeting Notices of Motion July 19 Activities of Other Organizations FINAL Preregistration (no hotel or tickets) July 19 The panel discussion on Affirmative action cosponsored by Cancellations for all Banquets the Association for Women in Mathematics and the CMS and Tours (50% refund) August2 Committee on Women in Mathematics is being organized by Gage Residence Accommodation Cancellations Cora Sadosky, Howard University, and Asia I. Weiss (CMS (less CDN$15 fee) (UBC) 48 hours before arrival Preregistration Cancellations (50% refund) August 11 Committee Chair), York University.

ADVANCES IN SOVIET MATHEMATICS Nonlinear Stokes Phenomena Yu. S. Il'yashenko, Editor Volume 14 The nonlinear Stokes phenomenon occurs in the local theory of differential equations (or, more concisely, local dynamics) and finds application in singularity theory. This book contains a number of papers on this subject, including a survey that begins with Stokes' pioneering works on linear theory and discusses the work of Voronin.

1991 Mathematics Subject Classification: 32, 34, 35, 58; 43 ISBN 0-8218-4112-2, 287 pages (hardcover), February 1993 Individual member $70, List price $116, Institutiomil member $93 To order, please specify ADVSOV/14NA

~1:R~rl'" &fi]i""'~"" 1;1< ~ All prices subject to change. Free shipment by surface: for air delivery, please add$6.50pertitle. Prepayment required. Order ~~ ~ from: American Mathematical Society, P .0. Box 5904, Boston, MA 02206-5904, or call toll free 800-321-4AMS (321-4267) ·"!l"No•o ,~· in the U.S. and Canada to charge with VISA or MasterCard. Residents of Canada, please include 7% GST.

494 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Syracuse University, Syracuse, New York September 18-19, 1993 First Announcement

The eight hundred and eighty-fourth meeting of the American Computational problems involving polynomials, Paul Mathematical Society (AMS) will be held on the campus Pedersen and James M. Renegar, Cornell University. of Syracuse University, Syracuse, New York, on Saturday, Lie theoretic methods in mathematical physics, Alvany September 18, and Sunday, September 19, 1993. Special Rocha. sessions and sessions for contributed papers will be held in Abstracts for consideration for these sessions should have the Carnegie Building, and invited addresses will be held in been submitted by the April27, 1993, deadline. This deadline the auditorium of the Heroy Building. was previously published in the Invited Speakers and Special Sessions section of the Notices.

Invited Addresses By invitation of the Eastern Section Program Committee there will be four invited one-hour addresses. The speakers, their Contributed Papers affiliations, and the titles of their talks where available are: There will also be sessions for contributed ten-minute papers. Michael Christ, University of California, Los Angeles, Abstracts should be prepared on the standard AMS form Analytic hypoellipticity, nonlinear eigenvalues, and nilpotent available from the AMS office in Providence or in Departments group representations. of Mathematics. Abstracts should be sent to the Abstracts Tadeusz lwaniec, Syracuse University, title to be an­ Coordinator, Meetings Department, American Mathematical nounced. Society, Post Office Box 6887, Providence, Rhode Island Charles A. McGibbon, Wayne State University, title to 02940, so as to arrive before the May 18, 1993, abstract be announced. deadline. Participants are reminded that a charge of $16 is James M. Renegar, Cornell University, Complexity as­ imposed for retyping abstracts that are not in camera-ready pects of solving polynomial equations and inequalities. form. Late papers will not be accommodated. Alvany Rocha, Graduate School & University Center (CUNY), title to be announced. Electronic Submission of Abstracts This service is available to those who use the 'lEX typeset­ Special Sessions ting system and can be used with abstracts of papers to be By invitation of the same committee there will be ten special presented at the sectional meetings of the AMS. Requests to sessions of selected twenty-minute papers. The topics of these obtain the package of these files may be sent electronically to sessions and the names and affiliations of the organizers are [email protected]. Requesting the files electroni­ as follows: cally will likely be the fastest and most convenient way, but Geometric topology, Douglas R. Anderson, Syracuse users may also obtain the package on IBM or Macintosh University. diskettes, available free of charge by writing to the AMS Algebraic topology, Robert Bruner, Wayne State Uni­ Abstracts Coordinator at the address stated above. When re­ versity, and Charles A. McGibbon. questing the abstracts package, users should be sure to specify Commutative algebra and algebraic geometry, Steven whether they want the plain 'lEX. AA.4'-'IEX, or the U\.'IEX P. Diaz, Syracuse University, and Anthony V. Geramita, package. Queen's University. Harmonic analysis, Allan Greenleaf, University of Rochester, and RobertS. Strichartz, Cornell University. Differential geometry and global analysis, Wu-Teh Hsiang, Registration Syracuse University. The meeting registration desk will be located on the west Representations of finite dimensional algebras, Mark side of the second-floor reading room near the Department Kleiner and Dan Zacharia, Syracuse University. of Mathematics office and will be open from 8:00 a.m. to Nonlinear potential theory, Juan J. Manfredi, University 5:00p.m. on Saturday, September 18, and 8:00a.m. to noon of Pittsburgh. on Sunday, September 19. The registration fees are $30 for Topics in probability, Terry R. McConnell, Syracuse members of the AMS, $45 for nonmembers, and $10 for University. emeritus members, students, or unemployed mathematicians.

MAY/JUNE 1993, VOLUME 40, NUMBER 5 495 Meetings

Accommodations Parking Rooms have been blocked for participants at the Sheraton Free parking is available in Parking Lots Q3 and Q4. Enter lot University Inn and the Genesee Inn. Both hotels are within Q3 from Sims Drive and Q4 from College Place. walking distance of the meeting buildings. The Sheraton University Inn is approximately one-third of a mile, and the Genesee Inn is approximately two-thirds of a mile from Carnegie. The Genesee Inn provides shuttle to the campus. Travel and Local Information Non-smoking rooms are available in both hotels upon request. Syracuse University is located in Syracuse, New York, which Participants should make their own arrangements with the is at the approximate geographic center of New York State. hotel of their choice and ask for the AMS regional meeting Hancock International Airport is located approximately ten rate. All rates are subject to applicable tax. The AMS is miles north of campus, and is served by a number of major not responsible for rate changes or the quality of the airlines. MetroPlex (315-455-2695) provides taxi and shuttle accommodations offered by these hotels/motels. service from the airport. Taxi fare to the Sheraton University Inn or the Genesee Inn is approximately $15. Shuttle service Sheraton University Inn leaves the airport 15 minutes after the hour. Shuttle fare is 801 University Avenue, PO Box 8701, Syracuse, NY approximately $5. 13210-8701 Rail passenger service to Syracuse is provided by Amtrak. Telephone: 315-475-3000 For those travelling by car to Syracuse, the New York State Single $89 Double $97 Thruway (I-90) is the main East-West route, and I-81 is the Reservations must be made by August 27, 1993. main North-South route. The campus is located approximately one mile southeast ofthe Adams Street exit ofl-81. Genesee Inn 1060 East Genesee Street, Syracuse, NY 13210 Telephone: 800-365-4663 or 315-476-4212 Single $52 Double $59 Weather Reservations must be made by August 27, 1993. In September the average daily high temperature is 73°F and the average daily low temperature is 53°F. Daily weather conditions are highly changeable and rain should be expected. Food Service A number of eating establishments are located along Marshall Lesley M. Sibner Street within walking distance of Carnegie Building, and Associate Secretary several campus eateries will be open. A list of local restaurants Brooklyn, New York will be available at the Registration Desk.

,.,< MatHematicians and Education Reform 1990 -1991 Naomi D. fisher, Harvey B. Keynes, and Philip D. W~greich, Editors

' ------Thefirst part ~ftb,is v?lume--- is de'{?t~dt6 detailed descriptions of a wide variety of educ~-i'onal projects unde~-~en by ~atherna~icians. The§,e de&c~_ftions :ocus for the most part on 'll_ubstantial enterprises with an invesfffienthtseveral years and syst~matic revief and::"alll~ti?n. By ~?ntra~t, t:Jiesecondpart of the boo_k cente}S on ideas q,tat could be put mto_ilction at a mod~st t:vel as a springboardlor-lon,er term projects. This bpokis int_:_nde~ to stimulate_ and inSJ?}re mathematicaliscient!,~ts to pursue educational work. Educators also benefit from this ex~l~~ati9Bo~ ~~<~,t can lSr. done. - ISBN o.s2i8-3503-3, 185 page!;,(~oftcover), April 1993 Individual member$37, Lis~ price_ $62 To ordetttplease specify··CBMATH/3NA ><

All prices suo.W~t to change. Free shipment by surface: for air delivery, ple~se,a~~)650 per-.tit!e. Prt'P£l.1'm:'~t required. Orde~from: American Mathematical Society, P.O. Box 5904, Boston, MA 02ZQ6-5904, or call toll fr~tr,321-4A¥S (321-4267) in the U.S. and Canada to charge witjJ. VISA or MasterCard. ResideiikofCanada;pleaseinclude 7<¥GST ...... -- ~· ~-

496 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY International Joint Mathematics Meeting Heidelberg, Germany, October 1-3, 1993

First Announcement

Heidelberg Castle

The first joint meeting of the American Mathematical Society (AMS) and the Deutsche Mathematiker-Vereinigung and the titles of their talks where available are: (DMV) will be held at the University of Heidelberg, Heidel­ Gerd Faltings, Princeton University, title to be an­ berg, Germany, from Friday, October 1, to Sunday, October 3, nounced. 1993. Guenter Harder, Universitat Bonn, title to be announced. Helmut H. W. Hofer, Universitaet Bochum, title to be announced. Joint Program Committee Michael J. Hopkins, Massachusetts Institute of Technol­ The members of the Joint Program Committee are Klaus D. ogy, title to be announced. Bierstedt, Joachim Cuntz, Albrecht Dold, Robert Fossum, Vaughan F. R. Jones, University of California, Berkeley, Dale Husemoller, Norbert Schappacher, Friedrich Torni, and title to be announced. Bernd Ulrich. Robert P. Langlands, Institute for Advanced Study, title to be announced. Local Organizing Committee The members of the Local Organizing Committee are Joachim Special Sessions Cuntz, Albrecht Dold, Yvonne Dold, Norbert Quien, A. By invitation of the same committee there will be eleven Stevens, Friedrich Torni, and N. Weber. special sessions of selected twenty-minute papers. The topics of these sessions and the names and affiliations of the Invited Addresses organizers are as follows: By invitation of the Joint Program Committee there will be six Recursion theory, Klaus Ambos-Spies, University of invited one-hour addresses. The speakers, their affiliations, Heidelberg, and Steffen Lempp, University of Wisconsin.

MAY/JUNE 1993, VOLUME 40, NUMBER 5 497 .. -··---·-··--···~·---·-····---·------·······---Meetings

Optimization, Hans Georg Bock, University of Heidel­ Registration berg, and Martin Grotschel, ZIB, Berlin. The preregistration fees are 50 DM for members of the AMS Commutative algebra (Betti numbers), Ragnar-OlafBuch­ and DMV, and 70 DM for nonmembers. The deadline for weitz, University of Toronto. preregistration is July 15, after which the fees will increase Operator algebras, Joachim Cuntz, University of Hei­ by 20 DM. The preregistration form can be found in the back delberg. of this issue. Payment for preregistration can be made by Visa, Complex analysis, Klas Diederich, Gesamthochschule MasterCard, EuroCard, or Diners Club. The only acceptable Wuppertal, and John Fornaess, University of Michigan. form of payment by check is a Foreign Draft (certified check Geometry and computer visualization, George Francis, in DM). Please note that banks will charge a fee when issuing University of Illinois, Urbana-Champaign; M. Phillips, Uni­ a Foreign Draft. versity of Minnesota; and Norbert Quinn, University of Heidelberg. Social Events Arithmetic geometry/automorphic forms, Jens S. Franke, The mayor of Heidelberg, Beate Weber, will host a com­ Max Planck Institute; Guenter Harder, Universitat Bonn; plimentary reception in the Heidelberg City Hall on Friday, and Norbert Schappacher, University Louis-Pasteur. October 1, at 8:00p.m. Mathematical physics, Jurg Frolich, ETH Zurich, and There will be a conference dinner at the Marstallhof der Elliot Lieb, Princeton University. Universitat on Saturday, October 2, at 8:00 p.m. The number Homotopy theory, Hans-Werner Henn, University of of tickets available is limited and participants are urged to Heidelberg, and Michael Hopkins, Massachusetts Institute of purchase tickets through preregistration. The cost of each Technology. ticket is 60 DM. Modelling in science, Willi Jager, University of Heidel­ berg, and Paul C. Fife, University of Utah. Accommodations Stochastics, Hermann Rost, University of Heidelberg, Participants should make their arrangements for hotel reserva­ and Ruth Williams, University of California, San Diego. tions through the Heidelberg Convention and Visitors Bureau Abstracts for consideration for these sessions should be and use the reservation form following this announcement. submitted by the May 27, 1993, deadline. The Convention Bureau will assign hotel rooms according to the category indicated on the reservation form. All hotel rates include breakfast. The deadline for reservations is August 15. After this date rooms will be reserved on a Contributed Papers space-available basis. The AMS is not responsible for rate There will also be sessions for contributed ten-minute papers. changes or the quality of the accommodations offered by Abstracts should be prepared on the standard AMS form these hotels/motels. available from the AMS office in Providence or in Departments Hotel Categories: Rooms in categories A through D of Mathematics. Abstracts should be sent to the Abstracts have private bathrooms with shower/bath and WCs. Rooms Coordinator, Meetings Department, American Mathematical in category E should have hot and cold water and shared Society, Post Office Box 6887, Providence, Rhode Island bathroom facilities located on each floor. All hotels are a short 02940, so as to arrive before the June 17, 1993, abstract commute to the University via public or private transportation. deadline. Participants are reminded that a charge of $16 is Student Rooms: A limited number of student rooms imposed for retyping abstracts that are not in camera-ready located throughout Heidelberg will be available starting in form. Late papers will not be accommodated. July. Please note that the rates cover the period October 1 through October 15. Room rates are 95 DM per person for a double room with shared bathroom facilities and 185 DM per person for a single room with private bathroom. Electronic Submission of Abstracts Room rates will not be prorated for shorter periods of This service is available only to those submitting abstracts stay. To make reservations for a student room ~ontact the Heidelberg Convention and Visitors Bureau, Friedrich-Ebert­ for contributed paper sessions who use the ~ typesetting system. Requests to obtain the package of these files may be Anlage 2, Germany, P. 0. Box 10 58 60, D-6900 Heidelberg sent by e-mail to [email protected]. Requesting 1, or phone 49 6221 10821. the files electronically will likely be the fastest and most Travel convenient way, but users may also obtain the package on Frankfurt Airport is the closest airport to Heidelberg and IBM or Macintosh diskettes, available free of charge by is served by most major airlines. There are frequent train writing to the Abstracts Coordinator at the address stated connections to Heidelberg, as well as a more convenient above. When requesting the abstracts package users should be limousine service (80 DM for a roundtrip fare) and a Lufthansa sure to specify whether they want the plain ~. -4;\.15-~. airport shuttle (36 DM one way; 60 DM roundtrip). or the :u\~ package.

498 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Invited Addresses and Special Sessions

Invited Addresses Harold P. Boas, Al Boggess, and Emil J. Straube, Several at AMS Meetings complex variables The individuals listed below have accepted invitations to Randall K. Campbell-Wright, Carl C. Cowen, and Barbara D. address the Society at the times and places indicated. For MacCluer, Composition operators on spaces of analytic some meetings the list of speakers is incomplete. Please check functions the table of contents for full announcements or programs Alfonso Castro, Joseph A. Iaia, John W. Neuberger, and Henry of meetings happening in the near future. Invited addresses A. Warchall, Nonlinear partial differential equations at Sectional Meetings are selected by the Section Program Goong Chen and Jianxin Zhou, Control systems governed by Committee, usually twelve to eighteen months in advance partial differential equations of a meeting. Members wishing to nominate candidates for Tim D. Cochran, Lorenzo A. Sadun, and Philip B. Yasskin, invited addresses should send the relevant information to the Texas geometry and topology Associate Secretary for the Section who will forward it to the William E. Fitzgibbon and J. J. Morgan, Reaction diffusion Section Program Committee. systems David R. Larson, Non self adjoint operator algebras College Station, TX, October 1993 Edward S. Letzter, Representation theory and geometry of algebras Steven P. Lalley Theodore A. Slaman noncommutative Meakin, Arnitai Regev, Mark V. Sapir, and Samuel Gilles Pisier Stephan A. Stolz John C. M. Vovsi, Identities and varieties of algebraic structures L. Park, Noncommutative differential geometry Claremont, CA, November 1993 Efton Gilles Pisier and Thomas Schlumprecht, The geometry of Krzysztof Burdzy N. Makarov Banach spaces and operator spaces Nassif Ghoussoub Nicholai Reshetikhin Sung Yell Song and Paul M. Terwilliger, Algebraic combina­ torics Cincinnati, OH, January 1994 Michael Artin Robert M. May (Retiring Presidential (Gibbs Lecture) November 1993 Meeting in Claremont, California Address) Carl Pomerance Western Section Subrahamanyan Chandrasekhar Gilbert Strang Associate Secretary: Lance W. Small Deadline for organizers: Expired (AMS-MAA) Ruth J. Williams Deadline for consideration: July 14, 1993 Jacques C. Hurtubise Fred Brauer and Carlos Castilla-Chavez, Mathematical meth­ James M. Hyman ods in epidemiology Stavros N. Busenberg and Mario U. Martelli, Dynamical Brooklyn, NY, April1994 systems and chaos David Bayer Debasis Mitra Stavros N. Busenberg and Ellis Cumberbatch, Industrial Peter B. Kronheimer Nicholai Reshetikhin applied mathematics David G. Cantor, Computational number theory Organizers and Topics Steven N. Evans, Brownian motion and applications to of Special Sessions potential theory Nassif Ghoussoub and Edward Odell, Nonlinear analysis and The list below contains all the information about Special Banach space theory Sessions at meetings of the Society available at the time this Nicholai Reshetikhin, Quantum groups and quantum topology issue of the Notices went to the printer.

October 1993 Meeting in College Station, Texas December 1993 Meeting in Merida, Mexico Central Section (Joint Meeting with the Sociedad Associate Secretary: Andy R. Magid Matematica Mexicana) Deadline for organizers: Expired Associate Secretary: Robert M. Fossum Deadline for consideration: July 14, 1993 Deadline for organizers: Expired Josefina Alvarez, Harmonic analysis and its applications Deadline for consideration: July 14, 1993

MAY/JUNE 1993, VOLUME 40, NUMBER 5 499 Invited Addresses and Special Sessions

January 1994 Meeting in Cincinnati, Ohio January 1995 Meeting in San Francisco, California Associate Secretary: Robert J. Daverman Associate Secretary: Andy R. Magid Deadline for organizers: Expired Deadline for organizers: April 2, 1994 Deadline for consideration: September 9, 1993 Deadline for consideration: To be announced

March 1994 Meeting in Lexington, Kentucky Southeastern Section March 1995 Meeting in Chicago, Illinois Associate Secretary: Robert J. Daverman Central Section Deadline for organizers: June 18, 1993 Associate Secretary: Andy R. Magid Deadline for consideration: To be announced Deadline for organizers: June 24, 1994 Deadline for consideration: To be announced

March 1994 Meeting in Manhattan, Kansas Central Section November 1995 Meeting in Kent, Ohio Associate Secretary: Andy R. Magid Central Section Deadline for organizers: June 25, 1993 Associate Secretary: Andy R. Magid Deadline for consideration: To be announced Deadline for organizers: February 4, 1995 Andrew G. Bennett and Charles N. Moore, Harmonic analysis Deadline for consideration: To be announced and probability Andrew L. Chermak and Albert L. Delgado, Groups and geometries January 1996 Meeting in Orlando, Florida Louis Crane and David N. Yetter, Quantum topology Associate Secretary: Lance W. Small Deadline for organizers: April 12, 1995 Lev Kapitanski and Lige Li, Nonlinear topics and critical Deadline for consideration: To be announced phenomena in partial differential equations Zongzhu Lin and David B. Surowski, Representations of algebraic groups and quantum groups March 1996 Meeting in Iowa City, Iowa Gabriel Nagy and Vladimir V. Peller, Operator theory Central Section Joseph M. Rosenblatt, Convergence problems in ergodic Associate Secretary: Andy R. Magid theory Deadline for organizers: June 22, 1995 Deadline for consideration: To be announced Misha Vishnik, Dynamical systems and fluid dynamics Daniel D. Anderson, Commutative ring theory Hunan Yang and Qisu Zou, Computational mathematics and numerical analysis Information for Organizers April1994 Meeting in Brooklyn, New York Eastern Section Potential organizers should refer to the January, February, Associate Secretary: Lesley M. Sibner March, or April issues of the Notices for guidelines on Deadline for organizers: July 9, 1993 organizing a session. Proposals for any of the meetings Deadline for consideration: To be announced mentioned in the preceding section should be sent to the cognizant Associate Secretary by the deadline indicated. No June 1994 Meeting in Eugene, Oregon Special Sessions can be approved too late to provide adequate Western Section advance notice to members who wish to participate. Associate Secretary: Lance W. Small Western Section Deadline for organizers: September 7, 1993 Lance W. Small, Associate Secretary Deadline for consideration: To be announced Department of Mathematics University of California, San Diego La Jolla, CA 92093 August 1994 Meeting in Minneapolis, Minnesota Electronic mail: [email protected] Associate Secretary: Lesley M. Sibner (Telephone 619-534-3590) Deadline for organizers: November 15, 1993 Central Section Deadline for consideration: To be announced Andy R. Magid, Associate Secretary Department of Mathematics October 1994 Meeting in Stillwater, Oklahoma University of Oklahoma 601 Elm PHSC 423 Central Section Norman, OK 73019 Associate Secretary: Andy R. Magid Electronic mail: [email protected] Deadline for organizers: January 28, 1994 (Telephone 405-325-6711) Deadline for consideration: To be announced Eastern Section Lesley M. Sibner, Associate Secretary November 1994 Meeting in Richmond, Virginia Department of Mathematics Southeastern Section Polytech University of New York Associate Secretary: Robert J. Daverman Brooklyn, NY 11201-2990 Deadline for organizers: February 11, 1994 Electronic mail: [email protected] Deadline for consideration: To be announced (Telephone 718-260-3505)

500 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Invited Addresses and Special Sessions

Southeastern Section Proposals for Special Sessions at the December 1-4, 1993 meeting in Robert J. Daverman, Associate Secretary Merida, Mexico, only, should be sent to Robert M. Fossum at the Department of Department of Mathematics Mathematics, University of lllinois, Urbana, II 61801, Telephone: 217-244-1741, University of Tennessee e-mail: [email protected]. Knoxville, TN 37996-1300 Information on site selection for Sectional Meetings, as Electronic mail: [email protected] well as full instructions for submitting abstracts, can be found (Telephone 615-974-6577) in the January, February, March, or April issues of the Notices.

CONTEMPORARY MATHEMATICS Several Complex Variables in China Chung-Chun Yang and Sheng Gong, Editors Volume 742

The present collection of survey and research articles comprises a current overview of research in several complex variables in China. Among the topics covered are singular integrals, function spaces, differential operators, and factorization of meromorphic functions in several complex variables via analytic or geometric methods. Some results 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

A Tribute to Emil Grosswald: Number Theory and Related Analysis Mark Sheingorn and MaNin Knopp, Editors Volume 743

Emil Grosswald was a mathematician of great accomplishment and remarkable breadth of vision. This volume pays tribute to the span of his mathematical interests, which is reflected . in the wide range of papers collected here. With contributions by some of the leading contemporary researchers in number theory, modular functions, combinatorics, and related analysis, this book will interest 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 0-8218-5155-1, 612 pages (softcover), March 1993 Individual member $47, List price $79, Institutional member $63 To order, please specify CONM/143NA

~,_1:\'U!MA.r.rC' . ... , ~:r, All prices subject to change. Free shipment by surface: for air delivery, please add $6.50 per title. Prepayment i11) ! j ~ required. Orderfrom: American Mathematical Society, P.O. Box5904, Boston, MA02206-5904, orcalltollfree '!I ~ 800-321-4AMS (321-4267) in the U.S. and Canada to charge with VISA or MasterCard. Residents of Canada, • "Nero,~· pleaseinclude7%GST.

MAY/JUNE 1993, VOLUME 40, NUMBER 5 501 Call For Topics For 1995 Conferences

Suggestions are invited from mathematicians, either singly or 1991-Algebraic groups and their generalizations, William in groups, for topics for the various conferences that will be Haboush, University of Illinois, Urbana-Champaign. organized by the Society in 1995. The deadlines for receipt of 1992-Quadratic forms and'division algebras: Connections these suggestions are given below, as well as some relevant with algebraic K-theory and algebraic geometry, William information about each of the conferences. An application Jacob and Alex Rosenberg, University of California, Santa form to be used when submitting suggested topic(s) for any Barbara. of these conferences (except the Short Course Series) may be 1993-Stochastic analysis, Michael Cranston, University obtained by writing to the Director of Meetings, American of Rochester; Richard T. Durrett, Cornell University; and Mathematical Society, P.O. Box 6887, Providence, RI 02940; Mark A. Pinsky, Northwestern University. or by telephone: 401-455-4146; FAX 401-455-4004; e-mail: Proposals will be considered by the Summer Institutes and [email protected]. Special Symposia Committee. Proceedings are published by Individuals willing to serve as organizers should be the AMS as volumes in the series Proceedings of Symposia in aware that the professional conference coordinators in the Pure Mathematics. Society's Providence office will provide full support and assistance before, during, and after each of these conferences, Deadline for Suggestions: September 1, 1993 thereby relieving the organizers of most of the administrative detail. Organizers should also note that for all conferences, except Summer Research Conferences, it is required that the 1995 AMS-SIAM-SMB Symposium proceedings be published by the AMS, and that proceedings Some Mathematical Questions in Biology of Summer Research Conferences are frequently published. This one-day symposium, sponsored jointly by the AMS, the A member of the Organizing Committee must be willing to Society for Industrial and Applied Mathematics (SIAM), and serve as editor of the proceedings. the Society for Mathematical Biology (SMB), is usually held All suggestions must include ( 1) the names and affilia­ in conjunction with the annual meeting of a biological society tions of proposed members and the chair of the Organizing closely associated with the topic. Current and recent topics Committee; (2) a one- to two-page description addressing and organizers: the focus of the topic, including the importance and time­ 1990-Neural networks, Jack D. Cowan, University of liness of the topic, and estimated attendance; (3) a list of Chicago. the recent conferences in the same or closely related areas; 1991 -Theoretical approaches for predicting spatial effects in (4) a tentative list of names and affiliations of the proposed ecological systems, Robert H. Gardner, Oak Ridge National principal speakers; and (5) a list of likely candidates who Laboratories. would be invited to participate, and their current affiliations. 1992-Cell biology, Byron Goldstein, Los Alamos National Individuals submitting conference suggestions are requested Laboratory, and Carla Wofsy, University of New Mexico. to recommend sites or geographic areas, which would assist 1993-Theories for the evolution ofhaploid-diploid life cycles, the Meetings staff in their selection of an appropriate site. Mark Kirkpatrick, University of Texas, Austin. Proposals will be considered by the AMS-SIAM-SMB Committee on Mathematics in the Life Sciences. Papers from the symposia are published by the AMS as volumes in the 1995 AMS Summer Research Institute series Lectures on Mathematics in the Life Sciences. Summer Institutes are intended to provide an understandable presentation of the state of the art in an active field of research Deadline for Suggestions: September 1, 1993 in pure mathematics and usually extend over a three-week period. Dates for a Summer Institute must not overlap those of the Society's summer meeting, which is scheduled for August. 1995 AMS-SIAM Summer Seminar There should be a period of at least two weeks between them. in Applied Mathematics Current and recent topics and organizers: The goal of the Summer Seminar, sponsored jointly by the 1990-Di.fferential geometry, Robert E. Greene, University AMS and the Society for Industrial and Applied Mathematics of California, Los Angeles, and Shing-Thng Yau, Harvard (SIAM), is to provide an environment and program in applied University. mathematics in which experts can exchange the latest ideas

502 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Call for Topics and newcomers can learn about the field. Current and recent Proposals will be considered by the AMS-IMS-SIAM topics and organizers: Committee on Joint Summer Research Conferences in the 1990-Vortex dynamics and vortex methods, Claude Green­ Mathematical Sciences. If proceedings are published by the gard, IBM T. J. Watson Research Center, and Christopher AMS they appear as volumes in the series Contemporary R. Anderson, University of California, Los Angeles. Mathematics. 1991-No seminar held. Deadline For Suggestions: February 1, 1994 1992-Exploiting symmetry in applied and numerical analy­ sis, Eugene L. Allgower, Kurt Georg, and Rick Miranda, Colorado State University. 1995 AMS Short Course Series 1993-The mathematics of tomography, impedance imaging, The AMS Short Courses consist of a series of introductory and integral geometry, Eric Todd Quinto, Tufts University. survey lectures and discussions which take place over a period of two days prior to and during the Joint Mathematics Proposals will be considered by the AMS-SIAM Com­ Meetings held in January and August each year. Each theme mittee on Applied Mathematics. Proceedings are published is a specific area of applied mathematics or mathematics used by the AMS as volumes in the series Lectures in Applied in the study of a specific subject or collection of problems in Mathematics. one of the physical, biological, or social sciences, technology, Deadline for Suggestions: September 1, 1993 or business. Current and recent topics: Complex analytic dynamics (January 1994), Wavelets and applications (January 1993), New scientific applications of geometry and topology (January 1992), Unreasonable ef­ 1995 AMS-IMS-SIAM Joint Summer fectiveness of number theory (August 1991), Probabilistic Research Conferences in the combinatorics and its applications (January 1991), Combi­ Mathematical Sciences natorial games (August 1990), Mathematical questions in These conferences, jointly sponsored by the AMS, the Institute robotics (January 1990). for Mathematical Statistics (IMS), and the Society for Indus­ Proposals will be considered by the Short Course Subcom­ trial and Applied Mathematics (SIAM), emulate the scientific mittee (James J. Tattersall, Chair) of the Program Committee structure of those held at Oberwolfach and represent diverse for National Meetings (Nancy K. Stanton, Chair). Proceed­ areas of mathematical activity, with emphasis on areas cur­ ings are published by the Society as volumes in the series rently especially active. Careful attention is paid to subjects in Proceedings of Symposia in Applied Mathematics, with the which there is important interdisciplinary activity at present. A approval of the Editorial Committee. one-week or two-week conference may be proposed. Topics Deadline for Suggestions: Suggestions for the January for the twelfth series of one-week conferences being held 1995 course should be submitted by December 1, 1993; in 1993 are: Curvature equations in conformal geometry; suggestions for the August 1994 course should be submitted Multivariable operator theory; Spectral geometry; Recent by July 1, 1993. developments in the inverse Galois problem; Mathematics of superconductivity; Distributions with fixed marginals, doubly Submit suggestions to: AMS Director of Meetings, P.O. Box stochastic measures, and Markov operators; and Applications 6887, Providence, RI 02940; FAX: 401-455-4004; e-mail: of hypergroups and related measure algebras. [email protected].

MAY/JUNE 1993, VOLUME 40, NUMBER 5 503 Mathematical Sciences present a written abstract of at most one page to be circulated during the meeting. INFORMATION: H. Konig, Universitiit des Meetings. and Conferences Saarlandes, Fachbereich Mathematik, D- 6600 Saarbriicken; tel: (area 681) 302 4432; or G. Lumer, lnst. de Mathematique, Uni­ versite de Mons, Place du Pare, 20, B-7000 Mons; tel: (area 65) 373507. THIS SECTION contains announcements of meetings and conferences of interest to some REMARK: The 1994 meeting of NWEAS segment of the mathematical public, including ad hoc, local, or regional meetings, and will be held in Holland in the Spring of meetings or symposia devoted to specialized topics, as well as announcements of regularly 1994. 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 * 13. 1993 Science and Technology Sympo­ front cover. sium on "Transportation and the Mathemat­ 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 ical Sciences: The Changing Interaction", announcement will be published only if there are changes or necessary additional information. Washington, DC. Once an announcement has appeared, the event will be briefly noted in each issue until it has PROGRAM: The 1993 symposium will focus been held and a reference will be given in parentheses to the month, year, and page of the on the increasing use of the mathematical issue in which the complete information appeared. Asterisks (*) mark those announcements containing new or revised information. sciences in planning and operations for IN GENERAL, announcements of meetings and conferences held in North America carry surface and air transportation. only date, title of meeting, place of meeting, names of speakers (or sometimes a general .CONFERENCE TOPICS: The relation between statement on the program), deadlines for abstracts or contributed papers, and source of legal/policy issues and research issues as further information. Meetings held outside the North American area may carry more detailed well as the roles of mathematics, statis­ information. In any case, if there is any application deadline with respect to participation in tics, and optimization in various areas of the meeting, this fact should be noted. All communications on meetings and conferences in transportation. the mathematical sciences should be sent to the Editor of the Notices, care of the American INVITED SPEAKERS: G. Nemhauser (Geor­ Mathematical Society in Providence, or electronically to [email protected]. DEADLINES for entries in this section are listed on the inside front cover of each issue. In gia lnst. of Tech.), J. Del Balzo (Federal order to allow participants to arrange their travel plans, organizers of meetings are urged Aviation Administration), J. Henson (Fed­ to submit information for these listings early enough to allow them to appear in more than eral Express), K. Heanue (Federal Highway one issue of the Notices prior to the meeting in question. To achieve this, listings should be Admin.), and E. Pas (Duke U.). received in Providence SIX MONTHS prior to the scheduled date of the meeting. INFORMATION: Board on Math. Sciences, EFFECTIVE with the 1990 volume of the Notices, the complete list of Mathematical Sciences National Research Council, NAS 312, Meetings and Conferences will be published only in the September issue. In all other issues, 2101 Constitution Ave., NW, Washing­ only meetings and conferences for the twelve-month period following the month of that issue ton, DC 20418; 202-334-2421; Fax: 202- will appear. As new information is received for meetings and conferences that will occur later 334-1597; internet: [email protected]; bitnet: 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 [email protected]. within the twelve-month period. 14-16. Knots and Quantum Gravity, Uni­ versity of California, Riverside, CA. (Feb. 1993,p. 180) west (Holland, Belgium, France, Germany, * 14-16. Twenty-second Annual State of Jef­ Switzerland), the permanent Northwest Eu­ 1993 ferson Mathematics Congress, Whiskeytown ropean Analysis Seminar (NWEAS) will (Redding), CA. 1993-1994. Mittag-Leffler Institute's Aca­ hold its second meeting as specified above demic Program for 1993-1994: Topology (rotating every year through the mentioned PuRPOsE: These annual campground con­ and Algebraic K-theory, Djursholm, Swe­ NW countries). The purpose is to bring ferences promote mathematical exchange den. (Dec. 1992, p. 1274) together specialists in different areas of in the hinterlands of southern Oregon, analysis and its applications throughout northern California, and northwestern Spring 1993. IMACS Symposium on Math­ Nevada. ematical Modelling, Wiener Neustadt, Ger­ the European Northwest for exchange and communication of results, problems, and INVITED SPEAKERs: D. Meredith, B. Jersky, man~ (Jan. 1992,p. 54) perspectives concerning their research ar­ G. Zhang. 1993. Second IMACS International Con­ eas. The meetings of NWEAS are planned INFORMATION: D. Ellis, Dept. of Math., ference on Computational Physics, Univ. of to be rather moderate in size, and are es­ San Francisco State U., San Francisco, Colorado, Boulder, CO. (Jan. 1992, p. 55) sentially by invitation. However any other CA 94132; 415-338-1026; e-mail: ellisd@ interested mathematician can apply for in­ math.sfsu.edu. vitation by contacting the organizers or 15-25. May 1993 writing to the addresses below; other such School of Analysis and Topology, Kat­ syvely, Crimea, Ukraine. (Apr. 1993, participants would have to be supported p. 407) * 10--14. Northwest European Analysis Sem­ financially by their own institution/means. 16-22. Mathematical Problems in Viscoelas­ inar 1993, International Conference and Re­ LECTURES: Each invited lecturer will give a tic Flows, Oberwolfach, Federal Republic of search Center for Computer Science, Schloss Germany. (Jan. 1992, p. 56) Dagstuhl (Saarland). 35-45 minute talk representative of his/her area of research by either presenting recent 17-19. Third International Conference on PROGRAM: Set up in 1991 with the co­ results or a survey. Other participants can Expert Systems for Numerical Computing, operation of mathematicians from more actively contribute in the round-table ses­ Purdue University, West Lafayette, IN. (Dec. than 15 universities in the European North- sions held during the meeting and can also 1992, p. 1278)

504 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Meetings and Conferences

17-21. Algebre et Applications, Marseille, 30-June 1. Canadian Society for the History plenary lectures will be offered (2 morning France. (Feb. 1993,p. 180) and Philosophy of Mathematics, Carleton lectures each working day) as well as after­ 18-21. Eighth Annual Conference on Struc­ University, Ottawa, Ontario, Canada. (Sep. noon seminars given by world-renowned ture in Complexity Theory, San Diego, CA. 1992,p. 772) mathematicians. (Oct. 1992, p. 948) 30-June 2. Fourteenth Annual Meeting of INFORMATION: V.I. Sukretny, Inst. of Math., 18-21. Workshop in Function Theory and the Canadian Applied Mathematics Soci­ Ukr.Ac.Sci., Repin str., 3, Kiev, 252001, Algebraic Differential Equations, University ety/Societe Canadienne de Mathematiques Ukraine; Fax: (044) 225-20-10; e-mail: of Illinois, Urbana, IL. (Mar. 1993, p. 277) Applique, York University, North York, On­ [email protected]; or I.G. Malyshev, Dept. of Math. and Comp. 20-21. DIMACS Quadratic Assignment tario. (Jan. 1993, p. 57) 30-June 4. NSF Calculus Reform Workshop: Sci., San Jose State U., One Washington Problem Workshop, DIMACS Center, Rut­ Square, San Jose, CA 95192; tel: 408- gers University, New Brunswick, NJ. (Mar. Core Approach to Calculus. (Feb. 1993, p. 181) 924-5092; Fax: 408-924-5080; e-mail: 1993,p.277) malyshev@ sj sumcs.sjsu.edu. 20-22. International Symposium on Ordi­ 30-June 5. Funktionalanalysis und Nicht­ nary Differential Equations and Applica­ lineare Partielle Differentialgleichungen, 2--4. The Lars Onsager Symposium. Cou­ tions, Western Michigan University, Kalama­ Oberwolfach, Federal Republic of Germany. pled Transport Processes and Phase Transi­ zoo, MI. (Nov. 1992, p. 1117) (Jan. 1992, p. 56) tions, Trondheim, Norway. (Dec. 1992, p. 1278) 20-22. International Conference on Ap­ 30-June 13. First Caribbean Spring School 2--4. DIMACS Workshop on Parallel Al­ proximation, Probability, and Related Fields, of Theoretical Physics and Mathematics on gorithms for Unstructured and Dynamic University of California, Santa Barbara. (Dec. Infinite Dimensional Geometry, Noncommu­ Problems, Rutgers University, Piscataway, NJ. 1992, p. 1278) tative Geometry, Operator Algebras, and (Feb. 1993,p. 181) Particle Physics, Guadeloupe (French West 20-23. International Conference on Ap­ 2-5. Ninth Biennial Conference of the As­ proximation Probability and Related Fields, Indies). (Nov. 1992, p. 1118) sociation of Christians in the Mathematical University of California, Santa Barbara, CA. 31-June 4. Workshop on Nonnegative Ma­ Sciences, Westmont College, Santa Barbara, (May/Jun. 1991, p. 477) trices, Applications, and Generalizations, CA. (Sep. 1992, p. 773) Technion, Haifa, Israel. (Nov. 1992, p. 1118) 20-23. Central Section, Northern Illinois 3-6. Symposium on Comparison Methods University, DeKalb, IL. and Stability Theory, The Fields Institute, Waterloo, Ontario. (Mar. 1993, p. 278) INFORMATION: W. Drady, AMS, P.O. Box 6887, Providence, Rl 02940. June 1993 3-9. Fifteenth Nevanlinna Colloquium, Ann Arbor, MI. (Jan. 1993, p. 57) June 1993. Fourth IMACS International 23-29. Differentialgeometrie im Grossen, Symposium on Computational Acoustics, 4--7. Sixth Meeting of European Women Oberwolfach, Federal Republic of Germany. Cambridge, England. (Jan. 1992, p. 56) in Mathematics, Warsaw, Poland. (Apr. 1993, (Jan. 1992, p. 56) p. 408) June 1993. GAMMIIFIP - Workshop on 24-27. COMPEURO '93, Paris-Evry, France. Stochastic Optimization: Numerical Meth­ 6-9. Annual Meeting of the Statistical (Jul./Aug. 1992, p. 631) ods and Technical Applications, Neubiberg/ Society of Canada, Wolfville, Nova Scotia, 24--27. Eurocrypt '93: A Workshop on the Mtinchen, Germany. (Sep. 1992, p. 773) Canada. (Feb. 1992, p. 149) Theory and Applications of Cryptographic June 1993. Summer Workshop: Calcu­ 6-12. Analysis auf Kompakten Varietiiten, Techniques, Lofthus, Norway. (Nov. 1992, lus, Computers, Concepts, and Cooperative Oberwolfach, Federal Republic of Germany. p. 1118) Learning, Purdue University, West Lafayette, (Jan. 1992, p. 56) 24-28. Matroides et Matroides Orientes, IN. (Nov. 1992, p. 1118) 7-10. SIAM Conference on Mathematical CIRM, Marseille, France. (Nov. 1992, p. 1118) 1--4. Rigidite et Deformation pour les and Numerical Aspects of Wave Propagation 24--28. Ergodic Theory and Its Connections Systemes Hyperboliques, CIRM, Marseille, Phenomena, University of Delaware, Newark, with Harmonic Analysis, Alexandria, Egypt. France. (Nov. 1992, p. 1118) DE. (Jul./Aug. 1992, p. 631) (Feb. 1993, p. 181) 1-5. CBMS-NSF Conference on Appli­ 7-10. The Eighth Haifa Matrix Theory 24--28. Theorie des Nombres et Automates, cations of the Representation Theory of Conference, Technion, Haifa, Israel. (Nov. CIRM, Marseille, France. (Jan.1993, p. 57) Quantum Affine Lie Algebras to Solvable 1992, p. 1119) 24--29. Second Gokova Geometry/Topology Lattice Models, North Carolina State Univer­ 7-11. IMA Thtorial: Mathematical The­ Conference: A Meeting in Low Dimensional sity, Raleigh, NC. (Jan. 1993, p. 57) ory which Has become an Integral Part of Topology, Gokova, Turkey. (Apr. 1993, p. 40.8) 1-5. Energy Systems Modeling, Salisbury Modern Financial Economics, Institute for 26-29. First International Conference on State University, Salisbury, MD. (Apr. 1993, Mathematics and its Applications, University Dynamic Systems and Applications, More­ p. 408) of Minnesota, Minneapolis, MN. (Nov. 1991, house College, Atlanta, GA. (Oct. 1992, p. 948) * 1-10. Differential Equations and Their p. 1172) 26-29. G. J. Butler Workshop in Mathe­ Applications, Crimea, Ukraine (South Coast, 7-11. Colloque International en l'Honneur matical Ecology, Fields Institute for Research Black Sea). de G. Freiman. La Methode Additive Inverse in Mathematical Sciences, Waterloo, Ontario. et ses Applications, CIRM, Marseille, France. ORGANIZING COMMITTEE: I. Malyshev (San (No~ 1992,p. 1119) (Mar. 1993, p. 277) Jose, CA), V. Sukretny (Kiev, Ukraine). 7-11. Art and Mathematics Conference 27-28. Fifteenth Symposium on Mathemat­ SCIENTIFIC PROGRAM: Topics will include (AM93), State University of New York, Al­ ical Programming with Data Perturbations, various aspects of differential equations: bany, NY. (Dec. 1992, p. 1279) George Washington University, Washington, ordinary differential equations, partial dif­ DC. (Jan. 1993, p. 57) ferential equations, differential equations 7-12. International Conference in Honour 28-30. Algebraic Geometry-Interactions be­ in Banach spaces, dynamical systems, nu­ of Bernard Malgrange, Grenoble, France. tween Commutative Algebra and Algebraic merical methods and applications. As the (Apr. 1993, p. 409) Geometry, Columbia, MO. (Mar. 1993, p. 277) principal part of the program, 18 2-hour 7-12. Methodes Geometriques et Topolo-

MAY/JUNE 1993, VOLUME 40, NUMBER 5 505 Meetings and Conferences

giques en Physique Theorique, Lyon, France. Finance, Institute for Mathematics and its CALL FOR PAPERS: Deadline for papers in (Jan. 1993, p. 58) Applications, University of Minnesota, Min­ all branches of mathematics: May 30, 1993. 7-12. Workshop on Pattern Formation and neapolis, MN. (Nov. 1991, p. 1172) INFORMATION: M. Awartani, Conference Lattice-Gas Automata, The Fields Institute, 14-18. Linear Logic Workshop, Mathe­ Cominittee Chair, Department of Mathe­ Waterloo, Ontario. (Feb. 1993, p. 182) matical Sciences Institute, Cornell University, matics, Birzeit University, Birzeit, West 7-12. Seminar on Stochastic Analysis, Ithaca, NY. (May/Jun. 1992, p. 496) Bank, via Israel; Fax: 972-295-7656. Random Fields, and Applications, Ascona, 14-18. Homologie des Algebres et Applica­ 17-19. ATLAST 1993 Linear Algebra Switzerland. (Feb. 1993, p. 182) tions, CIRM, Marseille, France. (Nov. 1992, Workshops, Michigan State University, East 7-13. Workshop on Pattern Formation p. 1119) Lansing, MI. (Dec. 1992, p. 1279) and Cellular Automata, Fields Institute for 14-18. Geometrical and Topological Meth­ 18-19. Conference on Integration of Pre­ Research in Mathematical Sciences, Waterloo, ods in Theoretical Physics, Universit~ Claude calculus with Calculus, Moravian College, Ontario. (Apr. 1992, p. 352) Bernard, Lyon 1, France. (Feb. 1993, p. 182) Bethlehem, PA. (Dec. 1992, p. 1279) 7-18. AMS-SIAM Summer Seminar in 14-18. Workshop in Nonlinear Differential 20-23. Eighth Annual IEEE Symposium on Applied Mathematics: The Mathematics of Equations, University of Campinas (UNI­ Logic in Computer Science (LICS), Mon­ Tomography, Impedance Imaging, and In­ CAMP), Campinas, Brazil. (Feb. 1993, p. 182) treal, Canada. (Nov. 1992, p. 1119) tegral Geometry, Mount Holyoke College, South Hadley, MA. 14-19. Groups of Lie Type and Their 20-25. NSF Calculus Reform Workshop: Geometries, Como, Italy. (Jan. 1993, p. 58) Oregon State Program. (Feb. 1993, p. 183) INFORMATION: D. Salter, AMS, P.O. Box 14-22. Integrable Systems and Quan­ 20-26. Konvexgeometrie, Oberwolfach, Fed­ 6887, Providence, RI 02940. tum Groups, Villa La Querceta, Montecatini eral Republic of Germany. (Jan. 1992, p. 56) * 10-12. Western Workshop in Geometric Terme, Italy. (Feb. 1993, p. 182) 20-July 2. NATO Advanced Study Insti­ Topology, Corvallis, Oregon and Newport, 15-17. IEEE Computer Society Conference tute: Real & Complex Dynamical Systems, Oregon. on Computer Vision and Pattern Recogni­ Hillerod, Denmark. (Jan. 1993, p. 58) tion, Omni Park Central, New York City, NY. 21-23. Colloquium on Elementary and An­ SuPPORT: This workshop is partially sup­ (Nov. 1992, p. 1119) ported by NSF and by Oregon State U. alytic Number Theory, Lillafiired, Hungary. Some travel support for graduate students 15-17. Second GAMMIIFIP Workshop on (Jan. 1993, p. 59) is available. Stochastic Optimization, Mtinchen, Federal 21-25. Twenty-second Conference on Sto­ ORGANIZERS: D. Garity (Oregon State U.), Republic of Germany. (Jan. 1993, p. 58) chastic Processes and their Applications, J. Henderson (Colorado College), F. Tinsley 15-17. Computer Security Foundations Amsterdam, The Netherlands. (Sep. 1992, (Colorado College), C. Guilbault (U. of Workshop VI, Franconia, NH. (Jan. 1993, p. 773) Wisconsin-Milwaukee), F. Ancel (U. of p. 58) 21-25. Graphs on Surfaces, Johns Hopkins Wisconsin-Milwaukee). * 15-18. Mathematical Methods in Studying University, Baltimore, MD. (Sep. 1992, p. 773) PRINCIPAL SPEAKER: J. Bryant of Florida the Structure and Dynamics of Gravitating 21-25. Fifth International Conference on State U. will be speaking on "Counterex­ Systems, Petrozavodsk (Karelia), Russia. Formal Power Series and Algebraic Com­ amples to the resolution conjecture". binatorics, University of Florence, Florence, SCIENTIFIC ORGANIZING COMMITTEE: A. INFORMATION: D. Garity, Math. Dept., Ore­ Italy. (Oct. 1992, p. 949) gon State U., Corvallis, OR 97331; e-mail: Chemin, S. Kutuzov (Chair), A. Millari, [email protected]. V. Orlov (Secretary), L. Ossipkov, I. Petro­ 21-26. Homogeneisation et Methodes de vskaya, N. Pitjev (Vice-Chairman). Convergence en Calcul des Variations, CIRM, 13-18. The Householder Symposium XII CONFERENCE TOPICS: Motion in axisym­ Marseille, France. (Nov. 1992, p. 1119) Meeting on Numerical Algebra, UCLA Con­ metric potentials. A third integral; Motion 21-29. Algebraic Cycles and Hodge Theory, ference Center, Lake Arrowhead, CA. (Dec. in regular and stochastic fields of gravitat­ Villa Gualino, Torino, Italy. (Feb. 1993, p. 183) 1992, p. 1279) ing systems; Structure and dynainics of our * 21-July 3. The Fifth International School 13-18. NSF Calculus Reform Workshop: galaxy; dynamics of groups and clusters of for Computer Science Researchers, Island of Calculus in a Real and Complex World. gravitating bodies; structure of a field of Lipari, Italy. (Feb. 1993,p. 182) objects. PROGRAM: The topic of the school will be 13-18. NSF Calculus Reform Workshop: INFORMATION: V. Orlov, Astronoinical In­ specification and validation methods for Ithaca College Program. (Feb. 1993, p. 182) stitute, St. Petersburg University, Bib­ programining languages and systems, and 13-18. NSF Calculus Reform Workshop: liotechnaya pl. 2, 198904 St. Petersburg Stary Peterhof, Russia; Tel: 812-428-41- it is directed toward Ph.D. students and Harvard Consortium Program. (Feb. 1993, young researchers who wish to be exposed 63; Fax: 812-428-66-49; e-mail: kvk@ p. 182) to the forefront of research activity in this astro.lgu.spb.su (subject: "for V. Orlov"). 13-18. SIMS 1993 AIDS Conference, Berlin, field. Germany. (Apr. 1993, p. 409) 16-18. Third IMACS International Work­ INVITED SPEAKERS: A. Pnueli, Y. Gurevich, 13-19. Differential-Algebraic Equations: shop on Qualitative Reasoning and Deci­ K. Apt, M. Fourman, W. Damm, and E. Theory and Applications in Technical Sim­ sion Technologies-QR&DT-3, Polytechnique Borger. ulation, Oberwolfach, Federal Republic of of Barcelona, Spain. (Please note date change INFORMATION: A. Ferro, Dept. of Math., Germany. (Jan. 1992, p. 56) from Jan. 1992, p. 56) Citta' Universitaria, Viale A. Doria, 6, 14-17. The Fifth Asian Logic Conference, 16-18. Fifth International Conference on 95125 Catania, Italy; tel: 39-95-222222/ National University of Singapore, Singapore. Rewriting Techniques and Applications, Mon­ 330533 (ext. 663); Fax: 39-95-330094; (May/Jun. 1992, p. 496) treal, Canada. (Jan. 1993, p. 58) e-mail: school @mathct.cineca.it. 14-17. IMACS Symposium on Symbolic * 16-18. First Annual Meeting of the Pales­ 22-24. The Twenty-third Annual Inter­ Computation,Lille,France. (Feb.1993,p.182) tinian Society of Mathematical Sciences, national Symposium on Fault-Tolerant 14-18. IMA Workshop on Mathematical Birzeit University, Birzeit, West Bank. Computing (FTCS 23), Toulouse, France.

506 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Meetings and Conferences

(November 1992, p. 1119) PRINCIPAL SPEAKER: L.C. Tartar. INVITED SPEAKERS: Please add J. Alperin 22-25. Third International Conference on INFORMATION: Organizer, M.E. Schonbeck, (U. of Chicago) to the previous list. Algebraic Methodology and Software Tech­ 408-459-4657. CALL FOR PAPERS: Participants are invited nology (AMAST '93), Enschede, The Nether­ to present papers of 25-minutes duration * 28-July 9. The First International Summer lands. (Nov. 1992, p. 1119) on any area of mathematics. Students are School in Logic for Computer Science, Uni­ 22-26. Cech Birthday Conference, North­ reminded that they may compete for the versity of Chambery, Pare Scientifique Savoie­ B.H. Neumann prize which is awarded for eastern University, Boston, Massachusetts. Technolac, Le Bourget-du-lac, France. (January 1993, p. 59) the best student talk at the conference. Stu­ dents who present papers are also eligible 23. Symposium on Some Mathematical PROGRAM: The topic of the school will be proof theory and foundations of program­ for up to $100 assistance with their travel Questions in Biology: Theories for the Evo­ and accommodation expenses. lution of Haploid-Diploid Life Cycles, Snow­ ming. The school is primarily intended for young researchers in computer science and bird, Utah. 5-9. CTAC93 Conference and Workshops, mathematics; it is supported by the Eu­ Australian National University, Canberra, INFORMATION: D. Salter, AMS, P.O. Box ropean Association for Computer Science A.C.T., Australia. (Dec. 1992, p. 1280) 6887, Providence, RI 02940. Logic. INVITED SPEAKERS: J.-Y. Girard, S. Ronchi, 5-9. British Combinatorial Conference, 23-24. Test Site Workshop, Harvard Univer­ S. Berardi, J.-L. Krivine, D. Leivant, M. Keele University, Staffordshire, UK. (Dec. sity, Cambridge, MA. (Mar. 1993, p. 279) Parigot, L. Regnier, A. Scedrov, and J. 1992, p. 1281) 23-26. Convergence in Ergodic Theory and Tiuryn. 5-10. Summer School on Nonlinear Dy­ Probability, Ohio State University, Columbus, INFORMATION: School Director, M. Parigotl namics and Pattern Formation, Santiago de OH. (May/Jun.1992, p. 496) School LCS, Laboratoire de Logique, UFR Compostela, Spain. (Mar. 1993, p. 280) 23-27. Seventeenth Summer Symposium in de Mathematiques, Universite Paris, 2, 5-31. NSF Regional Geometry Institute: Real Analysis, Macalester College, St. Paul, Place Jussieu, 75251 Cedex 05 Paris, Discrete Geometry, Smith College, Northamp­ MN. (Jan. 1993, p. 59) France; e-mail: [email protected]. ton, MA. (Nov. 1992, p. 1120) 24-26. Twenty-fifth Anniversary of the 28-July 9. Conference on Matrix Analysis 6-9. European Multigrid Conference '93, Classification Society of North America, for Applications, University of Wyoming, Amsterdam, The Netherlands. (May/Jun. 1992, Pittsburgh, PA. (Dec. 1992, p. 1280) Laramie, WY. (Dec. 1992, p. 1280) p. 496) 24-26. ATLAST 1993 Linear Algebra 29-July 2. Number Theoretic and Algebraic 6-23. IMA Summer Program on Modeling, Workshops, Los Angeles Peirce College, Methods in Computer Science, International Mesh Generations, and Adaptive Numerical Woodland Hills, CA. (Dec. 1992, p. 1280) Center of Scientific and Technical Information Methods for Partial Differential Equations, 24-26. Ninth Summer Conference on Gen­ (ICSTI), Moscow. (Sep. 1992, p. 773) · University of Minnesota, Minneapolis, MN. eral Topology and Applications, Slippery (Nov. 1992, p. 1120) Rock University, Slippery Rock, PA. (Jan. 7-9. Fourth IMACS International Con­ 1993, p. 59) ference on Computational Aspects of Elec­ 25-26. Second Conference on the Teaching tromechanical Energy Converters and of Calculus, Harvard University, Cambridge, July 1993 Drives-IMACS-TC1 '93, Ecole Polytechnique MA. (Mar. 1993, p. 279) 2-4. T.I. Tec/K.E.S. Conference on Non­ de Montreal, Canada. (Feb. 1993, p. 183) 27-July 2. NSF Calculus Reform Workshop: linear and Convex Analysis in Economic 7-10. The Second International Confer­ St.OlafCoUegeProgram.(Feb.1993,p.183) Theory, Tokyo, Japan. (Dec. 1992, p. 1280) ence on Fluid Mechanics (ICFM-ll), Beijing, 27-July 3. Algebraische K-Theorie, Ober­ 4-9. Fifth International Fuzzy Systems China.(Sep. 1992,p. 773) wolfach, Federal Republic of Germany. (Jan. Association World Congress, Seoul, Korea. 8-10. ATLAST 1993 Linear Algebra Work­ 1992,p.57) (Mar. 1992, p. 250) shops, University of Houston-Downtown, 28-30. Second International Workshop 4-10. Freie Randwertprobleme, Oberwol­ Houston, TX. (Dec. 1992, p. 1281) on Logic Programming and Nonmonotonic fach, Federal Republic of Germany. (Jan. 1992, 8-10. Symposium on Inverse Problems and Reasoning, Lisbon, Portugal. (Nov. 1992, p. 57) Optimal Design in Industry, Philadelphia, p. 1120) 4-10. Fifth International Congress on Al­ PA. (Mar. 1993, p. 280) 28-July 1. Fifth Conference on Computer­ gebraic Hyperstructures and Applications, 9-11. 1993 Annual Meeting of the Aus­ Aided Verification, Heraklion, Crete, · Iasi, Romania. (Sep. 1992, p. 773) tralasian Association for Logic, University of Greece.(Jan. 1993,p.59) 4-10. Methoden der Modul-und Ring­ Adelaide, South Australia. 28-July 2. Geometrie Algebrique et Theorie theorie, Oberwolfach, Federal Republic of 10-August 6. Joint Summer Research Con­ des Codes, CIRM, Marseille, France. (Nov. Germany. (Jan. 1993, p. 59) ferences in the Mathematical Sciences, Uni­ 1992, p. 1120) 4-16. Probability Theory of Spatial Dis­ versity of Washington, Seattle, WA. 28-July 3. Conference in Honour of Jean­ order and Phase Transition, Isaac Newton INFORMATION: C. Kohanski, AMS, P.O. Pierre Kahane, University Paris-Sud at Orsay. Institute, University of Cambridge, England. Box 6887, Providence, RI 02940. (No~ 1992,p. 1120) (Feb. 1993,p. 183) 28-July 3. Sixth International VIlnius Con­ 5-9. Communications et Reseaux d'lnter­ * 11. Tutorial: Introduction to Wavelets and ference on Probability Theory and Math­ connexion, CIRM, Marseille, France. (Nov. Applications, Philadelphia, PA. ematical Statistics, Vilnius, Lithuania. (Jan. 1992, p. 1120) ORGANIZER: C.K. Chui, Texas A&M U. 1993, p. 59) *5-9. The Thirty-seventh Annual Meeting of INFORMATION: SIAM Conference Coordi­ * 28-July 3. CBMS Conference on Compen­ the Australian Mathematical Society (AMS nator, 3600 University City Science Cen­ sated Compactness, Homogenization, and '93), University of Wollongong, Australia. ter, Philadelphia, PA 19104-2688; 215- H -Measures, University of California at Santa (Please note additional information to Nov. 382-9800; Fax: 215-386-7999; meetings@ Cruz. 1992, p. 1120) siam.org.

MAY/JUNE 1993, VOLUME 40, NUMBER 5 507 ········~~···-··---·-······~····-~~····-·-·-··~·~-···-·-·· ~--~------~-·-····-·oo_mmmmmmm•mmmmmm~..... IIIII , ...... Meetings and Conferences

* 11. Tutorial: Introduction to Continuous (May/Jun. 1992, p. 496) and Computational Mechanics, Oberwol­ Time Finance, Philadelphia, PA. 13-21. Modeling and Analysis of Phase fach, Fed. Rep. of Germany. (Jan. 1992, p. 57) ORGANIZER: J.-L. Vila, MIT. Transitions and Hysteresis Phenomena, Villa 26-30. NATO Advanced Research Work­ INFORMATION: SIAM Conference Coordi­ La Querc~ta, Montecatini Terme, Italy. (Feb. shop: Classical and Axiomatic Potential nator, 3600 University City Science Cen­ 1993, p. 184) Theory, Les Arcs, Savoy, France. (Oct. 1992, ter, Philadelphia, PA 19104-2688; 215- 15-17. ATLAST 1993 Linear Algebra p. 950) 382-9800; Fax: 215-386-7999; meetings@ Workshops, Georgia State University, Atlanta, 26-30. Groupes Ordonnes et Groupes de siam.org. GA. (Dec. 1992, p. 1281) Permutations lnfinis, Marseille, France. (Jan. 18-23. NSF Calculus Reform Workshop: 1993, p. 60) 11-15. Second World Congress on Neural Project Calc. (Feb. 1993, p. 184) 26-30. Cryptography and Computational Networks (WCNN '93), Portland, OR. (Mar. 18-23. NSF Calculus Reform Workshop: Number Theory, North Dakota State Univer­ 1993,p.280) Iowa State University Program. (Feb. 1993, sity, Fargo, ND. (Jan. 1993, p. 60) 11-17. Nonlinear Evolution Equations, So­ p. 184) 26-30. ICASE/LaRC Short Course on Par­ lutions and the Inverse Scattering Trans­ 18-24. Dynamische Systeme, Oberwolfach, allel Computation, Hampton, VA. (Mar. 1993, form, Oberwolfach, Federal Republic of Ger­ Federal Republic of Germany. (Jan. 1992, p. 281) many. (Jan. 1992, p. 57) p.57) 26-August 6. SMS-NATO ASI: Complex 11-30. Summer Research Institute on 18-24. Twelfth International Conference Potential Theory, Universite de Montreal, Stochastic Analysis, Cornell University, Ithaca, on Near-rings and Near-fields, University of Montreal, Canada. (Dec. 1992, p. 1282) NY. New Brunswick, Fredericton, N.B., Canada. 27-30. Seventh Workshop on Operator [NFORMATION: W. Drady, AMS, P.O. Box (Dec. 1992, p. 1281) Theory and Boundary Eigenvalue Problems, 6887, Providence, RI 02940. 18-24. International Conference on Com­ Vienna Technical University, Vienna, Austria. binatorics, Keszthely, Hungary. (Jan. 1993, (Jan. 1993, p. 60) 12-16. SIAM Annual Meeting, Philadelphia, p.60) 31-August 1. Conference on Logic and PA. (Mar. 1993, p. 281) 19-23. Singularites, CIRM, Marseille, France. Linguistics, Ohio State University. (Jan. 1993, 12-16. Chaotic Numerics (An International (Nov. 1992, p. 1121) p. 61) Workshop on the Approximation and Com­ 19-23. International Congress on Com­ 31-August 6. Joint Summer Research Con­ putation of Complicated Dynamical Behav­ puter Systems and Applied Mathematics, St. ferences in the Mathematical Sciences, Uni­ ior), Deakin University, Geelong, Australia. Petersburg, Russia. (Dec. 1992, p. 1282) versity of Washington, Seattle, WA. (Mar. (Oct. 1992, p. 949) 1993, p. 282) 19-23. Seventh ACM International Confer­ 12-16. Workshop on Algebraic Graph The­ ence on Supercomputing, Tokyo, Japan. (Jan. ory, International Centre for Mathematical 1993, p. 60) Sciences, Edinburgh, Scotland. (Mar. 1993, August 1993 p.281) 19-24. The Arithmetic of Elliptic Curves, Anogeia, Crete, Greece. (Jan. 1993, p. 60) * 12-16. Nineteenth Australasian Confer­ August-December. A Semester at CRM: ence on Combinatorial Mathematics and 19-August 13. CRM Summer School on Spatial and Temporal Dynamics, Universite Combinatorial Computing, The University Mathematical Biology, University of British de Montreal. (Jan. 1993, p. 61) of Adelaide, South Australia. Columbia. (Jan. 1993, p. 60) August 1993. International Conference on * 20-29. 1993 ASL European Summer Meet­ New Trends in Computer Science I (NET­ ORGANIZING COMMITTEE: C.M. O'Keefe, ing_ (Logic Colloquium '93), University of COMS 1), University oflbadan, Nigeria. (Nov. L.R.A. Casse, R.J. Clarke, L. Cousins (U. Keele, United Kingdom. (Please note addi­ 1992, p. 1121) of Adelaide). tional information to Nov. 1992, p. 1121) 1-7. Abelsche Gruppen, Oberwolfach, Fed­ INVITED SPEAKERS: C. Berge, Paris; W. eral Republic of Germany. (Jan. 1992, p. 57) Cherowitzo, Colorado; D. Foata, Stras­ INVITED SPEAKERS: A. Blass, M. Gitik, bourg; D. Hoffman, Auburn; R. Lidl, Tas­ U. Kohlenback, D. Lascar, D. Marker, J. 1-14. Groups 93 Galway/St. Andrews, Gal­ mania; T. Pentilla, Western Australia; M. Ohlbach, E. Rabinovich, R. Staerk, M. van way, Ireland. (Nov. 1992, p. 1121) de Resmini, Rome; J. Thas, Ghent. Lambalgen, A. Wilkie, B. Zilber. * 2-4. Advances in Geometric Analysis and CALL FOR PAPERS: Deadline for Abstracts: INFORMATION: Program Chair, W. Hodges, Continuum Mechanics, Stanford University, July 1, 1993. School of Math. Sciences, Queen Mary and Stanford, CA. Westfield College, Mile End Rd., London INFORMATION: C.J. O'Keefe, Dept. of Pure PROGRAM: An international conference on E14AS, UK; e-mail: [email protected]; Math., The University of Adelaide, GPO the occasion of the 70th birthday of Robert Fax: 081-981 9587. Box 498, Adelaide, SA 5001, Australia; Finn. e-mail: [email protected]. 21-23. Second International Symposium on ORGANIZING COMMITTEE: H. Beckert, U. of Leipzig; P. Concus, U. of California; 12-17. Colloque Thkeuti: Theorie de Ia High Performance Distributed Computing J. Heywood, U. of British Columbia; K. Demonstration et Applications en Informa­ (HPDC-2), Spokane, WA. (Jan. 1993, p. 60) Lancaster, Wichita State U.; L.F. Tam, U. tique, CIRM, Marseille, France. (Nov. 1992, 22-24. ATLAST 1993 Linear Algebra· of California; J. Taylor, Rutgers U. p. 1121) Workshops, University of Maryland, College Park, MD. (Dec. 1992, p. 1282) CONFERENCE TOPICS: Talks presented at 12-17. Third International Conference the conference are intended to cover ad­ on Nonassociative Algebra and its Appli­ 23-24. The Fourth Annual Conference on vances in areas to which Robert Finn has cations, University of Oviedo, Spain. Technology, Houston, TX. (Mar. 1993, p. 281) made major contributions, ranging from (November 1992, p. 1121) 25-30. International Workshop on Dif­ compressible fluid flows to Navier-Stokes 12-23. Conference on Universal Algebra ferential Geometry and its Applications, equations, differential geometry, nonlinear and Category Theory, Mathematical Sciences Bucharest, Romania. (Mar. 1993, p. 281) partial differential equations, and capillary Research Institute (MSRI), Berkeley, CA. 25-31. Geometric Methods in Theoretical surfaces.

508 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY """""""""""·-·-•·-·-···-·"""" •••••••••••=·~w~······•" m••••~-··-•••••w••••¥•• --~~--~--~--~-~---·---

INFORMATION: P. Concus, LBL 50A-2129, 6-19. Stochastic Analysis and Applications tions Conference, Hamburg, Germany. (Sep. u. of California, Berkeley, CA 94720; e­ in Physics, NATO Advanced Study Institute 1992,p. 774) mail: [email protected]. at the Universidade da Madeira. (Jan. 1993, 16-20. Conference on Variational Problems p. 61) in Differential Geometry and Partial Dif­ 2-6. Second Gauss Symposium, Munich, 7-21. Semigroups and their Applications, ferential Equations, Trieste, Italy. (Jan. 1993, Germany. (Dec. 1992, p. 1282) York,England.(Sep. 1992,p. 774) p. 61) 2-6. International Symposium on the Math­ 8-11. Workshop on Hierarchical Test Gen­ 16-20. Twenty-second Annual Conference: ematical Theory of Networks and Systems, eration, Virginia Polytechnic Institute and 1993 International Conference on Parallel Regensburg, Germany. (Sep. 1992, p. 774) State University, Blacksburg, VA. (Mar. 1993, Processing, The Pennsylvania State Univer­ * 2-6. CBMS Conference on Equivariant p. 282) sity, University Park, PA. (Jan. 1993, p. 61) Homotopy and Cohomology, University of 8-14. Konstruktive Approximationstheorie, 17-20. The Mathematical Heritage of Sir Alaska at Fairbanks. Oberwolfach, Federal Republic of Germany. William Rowan Hamilton, Dublin, Ireland. PRINCIPAL SPEAKER: J. Peter May. (Jan. 1992, p. 57) (May/Jun. 1992, p. 497) INFORMATION: Organizer, R.J. Piacenza, 9-12. Joint Statistical Meetings, San Fran­ 17-20. International Symposium on Statis­ 907-474-7772, e-mail: [email protected]. cisco, CA. (Nov. 1991, p. 1172) tics with Non-precise Data, Innsbruck, Aus­ 9-13. Sixth International Conference on tria.(Sep. 1992,p. 774) 2-13. Georgia International Topology Con­ Structural Safety and Reliability (ICOSSAR 17-21. Second International Conference ference, University of Georgia, Athens, GA. '93), Innsbruck, Austria. (Sep. 1992, p. 774) on Finite Fields: Theory, Applications, and (Jan. 1993, p. 61) 9-13. Analysis Colloquium, Szeged, Hun­ Algorithms, University of Nevada, Las Vegas. * 3-5. The 8th KAIST Mathematics Work­ gary. (Jan. 1993, p. 61) (Sep. 1992,p. 774) shop, Korea Advanced Institute of Science 9-13. Symposium on Mathematics of Com­ 18-22. Fourth International Colloquium and Technology, Taejon, Korea. (Please note putation 1943-1993: A Half-century of Com­ on Differential Equations, Plovdiv, Bulgaria. additional information to Apr. 1993, p. 411) putational Mathematics, University of British (Dec. 1991, p. 1341) INVITED SPEAKERS: G.J. Fix, R.E. Ewing, Columbia, Vancouver, Canada. IS-September 4. Twenty-third Ecole d'Ete W.-Y. Hsiang, R.E. Greene (tentative). INFORMATION: W. Drady, AMS, P.O. Box de Calcul des Probabilites, Saint-Flour (Can­ 6887, Providence, Rl 02940. tal). (Mar. 1993, p. 283) 4-6. SIAM Conference on Simulation and 22-26. Crypto '93, University of California, Monte Carlo Methods, San Francisco, CA. 9-14. Analysis of Dynamical and Cognitive Santa Barbara. (Jan. 1993, p. 61) (Dec. 1992,p. 12822) Systems, Huddinge (Stockholm). (Mar. 1993, 22-27. Colloquium on Topology, Lillafiired, 4--8. Summer School in Mathematical Qua~­ p. 282) Hungary. (Jan. 1993, p. 62) tum Theory, University of British Columbia, 10-14. Summer School in Mathematical 22-28. Special Complex Varieties, Oberwol­ Vancouver, B.C. (Feb. 1993, p. 184) Quantum Theory, University of British Co­ fach, Federal Republic of Germany. (Jan. 1992, lumbia, Vancouver, B.C. (Feb. 1993, p. 185) 5-9. Fifth Canadian Conference on Com­ p. 57) putational Geometry, University of Waterloo, 13-17. Second International Colloquium on 22-28. Thirty-first International Sympo­ Waterloo, Ontario, Canada. (Apr. 1993, p. 411) Numerical Analysis, Plovdiv, Bulgaria. (Dec. sium on Functional Equations, L. Kossuth 1991, p. 1341) * 6-7. Symposium on Modern Interdisci­ University, Debrecen, Hungary. (Apr. 1993, plinary University Statistics Education, San 14--17. First Workshop on Oscillation The­ p. 412) Francisco, CA. ory, Plovdiv, Bulgaria. (Oct. 1992, p. 950) 22-29. Twenty-ninth International Con­ PRoGRAM: This symposium will focus on 15. Thtorial on Numerical Methods in gress of History of Science, Zaragoza, Spain. the changes needed in statistics educa­ Control, Signal, and Image Processing, Uni­ (Apr. 1992, p. 352) versity of Washington, Seattle, WA. (Jan. 1993, tion to 1) incorporate cross-disciplinary 23-27. Lattices, Ordered Sets, and Universal p. 61) training into upper-undergraduate, gradu­ Algebra (Sixteenth Algebraic Conference in ate, and postdoctoral programs; 2) bring 15-19. Joint Mathematics Meetings, Uni­ Szeged), Szeged, Hungary. (Jan. 1993, p. 62) the graduate curriculum up to date; and versity of British Columbia, Vancouver, British 23-28. International Conference on Al­ 3) improve apprentice programs for grad­ Columbia (including the summer meetings of gebra Dedicated to the Memory of M.I. uate and postdoctoral students and reward the AMS, AWM, CMS, MAA, and PME). Kargapolov, Krasnoyarsk, Russia. (Jul./Aug. faculty mentors for such activity. INFORMATION: H. Daly, AMS, P.O. Box 1992, p. 632) INVITED SPEAKERS: J. Kettenring (Bell­ 6887, Providence, Rl 02940. core), P. Bickel (U. of California, Berke­ 23-September 4. NATO Advanced Study Institute on Polytopes: ley), P. Ross (Environmental _Protection 15-21. Noncommutative Algebra and Rep­ Abstract, Convex, and Computational, Agency), J. Bailar, III (McGtll U.), J. resentation Theory, Oberwo1fach, Federal Re­ Scarborough, Ontario, Lehoczky (Carnegie Mellon U.), J. Garfield public of Germany. (Jan. 1992, p. 57) Canada. (Dec. 1992, p. 1283) (U. of Minnesota), E. Rothman (U. of 15-27. XI Latin American School of Mathe­ 24--27. Third Kurt Giklel Colloquium, Brno, Michigan), J. Laurie Snell (Dartmouth Col­ matics (ELAM), Mexico. (Nov. 1992, p. 1121) Czech Republic. (Jan. 1993, p. 62) lege), P. Goel (Ohio State U.), S. Fienberg 16-17. Fourth Stockholm Optimization 24--28. Equadiff 8, Bratislava, Czecho- (YorkU.). Days, Royal Institute of Technology, Stock­ Slovakia. (Dec. 1992, p. 1283) INFORMATION: J. Tucker, Program Officer holm, Sweden. (Apr. 1993, p. 412) * 24--28. CBMS Conference on Classification for CATS, Board on Mathematical Sci­ 16-19. Third SIAM Conference on Linear of Amenable Subfactors and Related Topics, ences, National Research Council, NAS University of Oregon, Eugene, OR. 312, 2101 Constitution Ave., NW, Wash­ Algebra in Signals, Systems, and Control, ington, DC 20418; tel: 202-334-2421; Fax: University of Washington, Seattle, WA. (Dec. PRoGRAM: S.T. Popa, UCLA (the principal 202-334-1597; internet: [email protected]; bit­ 1992,p. 1283) speaker) will give a series of ten one-hour net: [email protected]. 16-20. First European Nonlinear Oscilla- lectures. In addition about 10 other people

MAY/JUNE 1993, VOLUME 40, NUMBER 5 509 Meetings and Conferences

will give one-hour talks on related topics. gan; H. Troger, Technical U. of Vienna; in industry? What should be done in math­ As with all NSF-CBMS conferences, both W. Wedig, U. of Karlsruhe; S. Wiggins, ematics education to prepare the students established researchers and interested new­ Fields Inst./Caltech; V. Wishtutz, U. of for that way of working? [In the con­ comers, including postdoctoral fellows and North Carolina. text of the symposium, computer-aided graduate students, are invited to attend. INFORMATION: Workshop Information: N. mathematics refers mainly to the use of INFORMATION: Organizer, N.C. Phillips, Sri Namachchivaya, 519-725-0096, ext. symbolic computing languages like Math­ Dept. of Math., University of Oregon, 3043; [email protected]. For ematica, Maple, etc. Education refers to Eugene, OR 97403-1222; tel: 503-346- Registration Information: J. Motts, first- and second-year university education 4714, e-mail: [email protected]. 519-725-0096, ext. 3003; motts@ for science and engineering students.] fi.elds.uwaterloo.ca. PRoGRAM: The program will consist of in­ 25-September 3. Forty-ninth Biennial Ses­ vited lectures by internationally known sion of the International Statistical Institute, 30-September 3. Inverse Problems: Princi­ experts in computer-aided mathematics Firenze, Italy. (Nov. 1991, p. 1172) ples and Applications in Geophysics, Tech­ (from the teaching and from the industrial 29-30. Conference on Rings, Extensions, nology, and Medicine, Potsdam (near Berlin), viewpoint). Ample time will be allocated and Cohomology on the Occasion of the Germany. (Sep. 1992,p. 774) to computer exercises, discussions, and Retirement of Daniel Zelinsky, Northwestern 30-September 3. Representations des demonstrations. University, Evanston, IL. (Dec. 1992, p. 1283) Groupes et Analyse Complex:e, CIRM, Mar­ INVITED SPEAKERS AND ToPICS: G. Lassalle­ 29-September 4. Random Graphs and Com­ seille, France. (Nov. 1992, p. 1121) Balier (Toulouse), The use of computer binatorial Structures, Oberwolfach, Federal 30-September 3. Eleventh International algebra in industry; B. Beauzamy (Paris), Republic of Germany. (Jan. 1992, p. 57) Conference on the New Quality Philoso­ Symbolic computation: a scientific and * 30-September 1. International Symposium phy in Statistical Research and Education, social challenge for mathematicians; R. on Nonlinear Dynamics and Stochastic Me­ Firenze, Italy. (Jan. 1993, p. 62) Durand (Toulouse), Math calculus and chanics, Fields Institute, Waterloo, Ontario. 30-September 3. Conference on the Fi­ Mathematica in the teaching of mathemat­ nite Element Method: Fifty Years of the ics to first- and second-year engineering ORGANIZERS: W.F. Langford, N. Sri Courant Element, Jyviiskyla, Finland. (Apr. students at INSAT, Toulouse; L.E. Lund Namachchivaya, and W.H. Kliemann. 1993, p. 412) (NTH, Trondheim), Computer-aided learn­ SCOPE AND GoALS: The development of ing for numerical mathematics; K. Rijp­ 30-September 3. International Workshop nonlinear mechanics has been and is clearly (Eindhoven), Title not yet decided; on Validated Computation, University of kema connected with several areas in applied L. Raade (Gothenburg), (a) Teaching of Oldenburg, Germany. (Feb. 1993, p. 185) mathematics, such as ordinary, partial, mathematics in the computer age, and the and delay differential equations, dynam­ 30-September 3. Second International Con­ SEFI mathematics working group; (b) How ical systems, functional analysis, and, more ference on Parallel Computing Technolo­ computer algebra changed my life; W. recently, the theory of stochastic processes. gies (PaCT-93), Obninsk, Russia. (Apr. 1993, Schaufelberger (ZUrich, Switzerland), Title At the same time, problems in nonlinear p. 412) not yet decided; A. Warusfel (France), Us­ mechanics have contributed to the devel­ ing symbolic software at the undergraduate opments in, for example, Lyapunov theory, and at the graduate levels. invariant manifolds, ergodic theory, bifur­ September 1993 INFORMATION: H. Barthet, Complexe Sci­ cation theory, and stochastic stability. In entifique de Rangueil, 31077 Toulouse recent years important progess has been * 1-9. Mathematical Society of Japan Inter­ Cedex; Fax: (33)-61-55-95-77; or B. Birke­ made in areas of applied mathematics such national Research Institute on the Topology land, Inst. of Math., P.B. 1053, Blindern, as normal forms, chaos theory, bifurca­ of the Moduli Space of Curves, Kyoto, Japan. N-0316 Oslo, Norway; Fax: (47)-22-85- tion theory, stochastic flows, Lyapunov 43-49; e-mail: [email protected]. exponents, large deviations, etc. These ar­ PROGRAM: Two and one-half hour main rangements, in tum, lead to a better un­ lectures (with intermission) in the morning; 5-11. Novikov Conjectures, Index Theorems derstanding of nonlinear phenomena. To a one-hour talks in the afternoon. and Rigidity, Oberwolfach, Federal Republic certain extent, these new ideas, approaches, ORGANIZERS: E. Arbarello (Rome), T. of Germany. (Jan. 1992, p. 57) Miwa (Kyoto), T. Shiota (Kyoto). and results are being used in nonlinear me­ 5-11. Nonlinear Numerical Methods and INVITED SPEAKERs: C.-F. Boedigheimer, R. chanics to tackle such problems as stability Rational Approximation, University of Hain, J. Harer, C. Itzykson, N.V. Ivanov, M. of aircraft at high angles of attack, stabil­ Antwerp, Belgium. (Oct. 1992, p. 950) ity and global bifurcations in plates and Kontsevich, E.J.N. Looijenga, S. Morita, 5-12. First World Conference on Branching shells, mixing and transport phenomena in S. Nag, Takayuki Oda, R. Penner, N.J. Processes, Varna, Bulgaria. (Jan. 1993, p. 62) fluid mechanics, and nonlinear analysis of Reshetikhin, A.K. Raina, T.R. Ramadas, K. rotating systems. Saito. 6-8. Bi-National France-Israel Symposium: INVITED SPEAKERS: L. Arnold, U. of Bre­ INFORMATION: N. Tanaka, Dept. of Math., The Brownian Sheet-New Results and De­ man; A. Bajaj, Purdue U.; V.V. Bolotin, Kyoto Univ., Kyoto 606-01, Japan; e-mail: velopments, Bar-llan University (Israel). (Feb. USSR Academy of Sciences; T.K. Caughey, [email protected]; Fax: (81)75- 1993, p. 185) Caltech; S.H. Crandall, MIT; M.F. Diment­ 753-3707. 6-10. Lattice Points in Polyhedra and Ap­ berg, Worcester Polytechnic lnst.; S. Hsu, plications in Geometry and Topology, CIRM, * 2-5. French-Norwegian Symposium on U. of California, Berkeley; W.F. Langford, Marseille, France. (Please note name change Computer-Aided Mathematics in Education Fields Inst./U. of Guelph; Y.K. Lin, Florida from Mar. 1993, p. 283) and Industry, Gran, Norway. Atlantic U.; J. Marsden, Fields Inst./U. of 6-11. Eleventh International Conference on California, Berkeley; M. Pinsky, North­ SYMPOSIUM THEME: 1). The potential of Topology, Trieste, Italy. (Jan. 1993, p. 62) Australian Nat'l mathematics and interac­ western U.; E. Platen, The computer-aided *7-12. Algebras in Analysis, Kent State Uni­ Virginia Poly­ teaching software in mathematics ed­ U., Canberra; A.H. Nayfeh, tive versity, Kent, OH. technic and State U.; R. Seydel, U. of ucation. Experiences and perspectives. 2). Ulm, Germany; S.W. Shaw, U. of Michi- How is computer-aided mathematics used PRoGRAM: This conference will focus on

510 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY "''"""""'-"""""' ••••••,~~--- Fm!l!!l'm!l!m!l!m!l!!ltmm!l!if~~-~--""""'~~~m .... """"~~--~~~~"'·~~-.. --~--~~--~--m""""-"-mm"" Meetings and Conferences

operator theory, measure theory, and non­ 20-26. Seventh Symposium on Classical e-mail: [email protected]; linear functional analysis. A highlight will Analysis, Kazimierz Dolny, Poland. (Dec. Fax: (7-044) 225-2010. be an expanded two-day Informal Analysis 1992,p. 1284) Seminar. There is a possibility of some very 20-0ctober 1. Second Workshop on Com­ limited financial support for participants. posite Media and Homogenization, Interna­ October 1993 ORGANIZERS: R.M. Aron, J. Diestel, P. tional Centre for Theoretical Physics, Trieste, Enflo, V. Lomonosov, A. Tonge. Italy. (Apr. 1993, p. 413) 1-3. Joint Meeting with the Deutsche Mathematiker-Vereinigung e.V., University INFORMATION: Algebras in Analysis, 21-24. Sixth International Workshop on of Heidelberg, Heidelberg, Germany. Department of Mathematics, Kent State Stochastic Geometry, Stereology, and Image 44242; e-mail: University, Kent, OH Analysis in honor of L.A. Santalo, Valencia, INFORMATION: H. Daly, AMS, P.O. Box sommers @mcs.kent.edu. Spain. (Mar. 1993, p. 284) 6887, Providence, RI 02940. 26-29. SCAN-93 IMACS/GAMM Interna­ 9-15. IMA Tutorial, Institute for Mathematics 3-9. Arbeitsgemeinschaft mit Aktuellem tional Symposium on Scientifc Computa­ and its Applications, University of Minnesota, Thema, Oberwolfach, Federal Republic of tion, Computer Arithmetic, Validated Nu­ Minneapolis, MN. (Jan. 1993, p. 62) Germany. (Jan. 1992, p. 57) Equations merics, Technical University of Vienna, Aus­ 12-16. Third Dublin Differential * 4-6. Second International Conference of the Ire­ tria. (Apr. 1993, p. 413) Meeting, Dublin City University, Dublin, ACPC (Austrian Center for Parallel Com­ 26-0ctober 1. Second Internation~l Confer­ land. (Jan. 1993, p. 62) * putation), Gmunden (near Salzburg), Austria. ence on Approximation and Optimization, 12-18. Topologie, Oberwolfach, Federal Re­ (Mar. 1993, p. 284) p. 57) Havana, Cuba. public of Germany. (Jan. 1992, * 4-6. Workshop on Continuous Algorithms 13-17. Fourth European Software En­ SPONSORS: International Mathematical and Complexity, Universitat Autonoma de gineering Conference, Garmisch, Germany. Union and the Third World Academy of Barcelona, Bellaterra, Barcelona, Spain. (Jul./Aug. 1992, p. 632) Sciences. PROGRAM: The workshop is part of the 13-17. Tenth Conference on Problems PROGRAM: Approximation, optimization, semester in Continuous Algorithms and and Methods in Mathematical Physics (10. numerical methods for nonlinear equations Complexity that will take place in Barcelona TMP), Chemnitz, Federal Republic of Ger­ and optimization, comprehensive applica­ in the fall of 1993, and intends to bring many. (Feb. 1993, p. 186) tions. Refereed proceedings will be pub­ and together researchers from traditionally dif­ 13-17. Logique de Ia Connaissance et lished in the series "Approximation Optimization", Peter Lang Verlag, Berlin, ferent areas of math and computer science Theorie de Ia Decision, Marseille, France. who use continuous algorithms. (Feb. 1993, p. 186) New York, Paris. INFORMATION: J. Guddat, FB Mathematik, CONFERENCE TOPICS: Algebraic complex­ Differentiability, 13-18. Different Aspects of Humboldt Universitat, PSF 1297, D-0- ity, algebraic algorithms, information-based (May/Jun. 1992, p. 497) Warsaw, Poland. 1086, Berlin, Germany; tel: +(30)2993- complexity, lower bounds and optimal al­ 14-17. Mathematical Modelling and Sci­ 2268/2353; fax: +(30)2093-2238; e-mail: gorithms, models for continuous computa­ entific Computation (MMSC-93), Sozopo1, guddat@ mathematik.hu-berlin.dbp.de. tions, polynomial equation solving, quan­ Bulgaria. (Mar. 1993, p. 283) tifier elimination, structure of complexity 17-20. Technology in Mathematics Teaching 26-0ctober 2. Diophantische Approxima­ classes over the reals. (TMT '93): A Bridge between Teaching and tionen, Oberwolfach, Federal Republic of Ger­ INVITED SPEAKERS: P. Fraigniaud, Lyon; Learning, The University of Birmingham, many. (Jan. 1992,p. 57) M. Karpinski, Bonn; T.-Y. Li, Michigan; England. (Dec. 1992, p. 1283) 27-28. Workshop on Large Eddy Simula­ T. Lickteig, Bonn; K. Meer, Aachen; C. Michaux, Mons; M. Shub, ffiM; S. Smale, 18-19. Eastern Section, Syracuse University, tion in Aerodynamics and the Environment, Berkeley. Syracuse, NY. Universite de Montreal. (Jan. 1993, p. 63) CONTRIBUTED TALKS: These can be freely 27-0ctober 1. Orbites Periodiques des W. Drady, AMS, P.O. Box presented at the workshop and are encour­ INFORMATION: Systemes Dynamiques, CIRM, Marseille, 6887, Providence, RI 02940. aged. An abstract of no more than two France. (Jan. 1993, p. 63) pages is required. Deadline for submission 19-25. Mathematical Game Theory, Ober­ 27-0ctober 1. Fourth Conference on Dis­ of abstracts: September 1, 1993. wolfach, Federal Republic of Germany. (Jan. crete Mathematics, University of Potsdam, INFORMATION: F. Cucker, Universitat Pom­ 1992,p.57) Germany. (Mar. 1993, p. 284) peu Fabra, c/Balmes 132, Barcelona 08008, 20-24. Methodes Numeriques dans· Ia 28-0ctober 1. CIRM Workshop on Alge­ Spain; e-mail: [email protected]; or C. Roca, Theorie des Surfaces de Riemann, CIRM, braic Vector Bundles and Applications, Centre de Recerca Matematica, Apartat 50, Marseille, France. (Nov. 1992, p. 1122) Trento, Italy. (Apr. 1993, p. 413) Bellaterra 08193, Spain; e-mail: icrmo@ 20-24. Thirteenth Congress of the Austrian * 28-0ctober 2. Second Conference on Non­ cc.uab.es. Mathematical Society, Linz, Austria. (Dec. linear Problems of Differential Equations 6-8. Games, Logic, and Process, CIRM, 1992,p. 1284) and Mathematical Physics, Kiev, Ukraine. Marseille, France. (Jan. 1993, p. 63) 20-24. IMA Workshop on Probability and PRoGRAM: The scientific program will 6-9. Second IMACS International Con­ Algorithms, Institute for Mathematics and its cover results in constructive and qualitative ference on Computational Physics, Parks Applications, University of Minnesota, Min­ methods in nonlinear differential equations of St. Louis University, Cahokia, neapolis, MN. (Jan. 1993, p. 63) College and partial differential equations, asymp­ Illinois. (Feb. 1993, p. 186) 20-24. Ordinary Differential Equations and behavior of solutions, stability theory, totic * 8-9. Twenty-first Annual Mathematics and Their Applications, Firenze, Italy. (Feb. 1993, systems, and their applications. dynamical Statistics Conference on the Teaching and p. 186) will consist of one-hour lec­ Presentations Learning of Undergraduate Mathematics, and 20-minute talks. 20-25. International Conference on Number tures Miami University, Oxford, OH. Theory, Tula State Pedagogical Institute, Tula, INFORMATION: V. Koloniets, Institute of Russia. (Mar. 1993, p. 284) Mathematics, 3 Repin Str., Kiev, Ukraine; PRINCIPAL SPEAKERS: J. Schwartz, Har-

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vard U.; K. Geuther Graham, U. of New is to provide a forum for discussion of cal program in an inforinal atmosphere. Hampshire; D. Smith, Duke U. new theoretical and applied developments SYMPOSIUM Co-CHAIRS: T. Crockett, CALL FOR PAPERS: Abstracts for contributed in signal processing in its relation to imple­ ICASE; C. Hansen, Los Alamos National papers should be sent by June 21, 1993, to mentation as Very Large Scale Integrated Lab.; S. Whitman, Lawrence Livermore the address below. Circuits. The keynote address and one panel National Lab. INFORMATION: Conference programs with session will focus on industrial and tech­ SYMPOSIUM TOPICS: Polygon scan conver­ information concerning preregistration and nical challenges in signal processing for sion; ray tracing; radiosity; volume render­ housing will be available after July 15, consumer applications. The aim is to have ing; constructive solid geometry; surface 1993, from J.H. Skillings, Chair, Dept. of also one session devoted to this topic. A generation; scientific visualization; mas­ Math. and Stats., Miami Univ., Oxford, OH hard-bound record of the workshop will be sively parallel computation; performance 45056-1641; 513-529-5818. published. analysis; 110 and display issues; architec­ CALL FOR PAPERS: Papers are solicited tural impact on algorithms. 10-16. Invariant Ordering in Geometry that relate to the technologies involved INFORMATION: [email protected] or call and Algebra, Oberwolfach, Federal Republic in the design and implementation of signal T. Crockett at 804-864-2182 for more in­ of Germany. (Feb. 1993, p. 186) processing algorithms and systems as VLSI for~nation on symposium format and sub­ 10-16. Adaptive Methoden fiir Partielle circuits. mission guidelines. Differentialgleichungen, Oberwolfach, Fed­ INFORMATION: M. Emmers/M. van Kessel, eral Republic of Germany. (Feb. 1993, p. 186) Philips International B.V./CPDC, Building 25-29. Third SIAM Conference on Geo­ metric Design, Seattle, WA. (Jul./Aug. 1992, 11-14. Gestion de Projets Statistiques, VO-p, P.O. Box 218, 5600 MD Eindhoven, p. 632) CIRM, Marseille, France. (Jan. 1993, p. 63) The Netherlands. 27-30. Seventh International Conference on 14-20. Wavelets: Theory, Algorithms, and 22-23. Central Section, Texas A&M Univer­ Domain Decomposition Methods, Penn State Applications, Taormina, Sicily, Italy. (Apr. sity, College Station, Texas. University, State College, PA. (Oct. 1992, 1993, p. 413) p. 950) * 15-16. Thirteenth Meeting of the South­ INFORMATION: W. Drady, AMS, P.O. Box 31. Thtorial on NURBS, Tempe, AZ. eastern-Atlantic Regional Conference on 6887, Providence, RI 02940. * Differential Equations, University of North 24-27. Functional Analysis on the Eve of ORGANIZER: G. Farin, Arizona State U. Carolina at Wilmington, Wilmington, NC. the Twenty-First Century, in Honor of the INFORMATION: SIAM Conference Coordi­ (Please note corrected names of invited speak­ Eightieth Birthday of Israel M. Gelfand, nator, 3600 University City Science Cen­ ers to Mar. 1993, p. 284) Rutgers University, New Brunswick, NJ. (Apr. ter, Philadelphia, PA 19104-2688; 215- 382-9800; Fax: 215-386-7999; meetings@ INVITED SPEAKERS: H.T. Banks (N.C. State), 1993,p.414) siam.org. J.T. Beale (Duke U.), I. Stakgold (U. of 24-30. Mengenlehre, Oberwolfach, Federal Delaware). Republic of Germany. (Feb. 1993, p. 186) * 31. Thtorial on Data Reduction and Decom­ * 25-26. Visualization '93 Symposiums, San position Techniques for Curves and Sur­ * 15-16. Fifteenth Midwest Probability Col- Jose, CA. faces. loquium, Evanston, IL. Symposium on Research Frontiers in ORGANIZER: T.J. Lyche, U. of Oslo, Nor­ INVITED SPEAKERS: F. Ledrappier (2 talks), Virtual Reality: way. R. Carmona, and Y. Peres. PROGRAM: This symposium is a forum INFORMATION: SIAM Conference Coordi­ INFORMATION: M. Pinsky, Dept. of Math., dedicated to exploring current issues and nator, 3600 University City Science Cen­ Northwestern Univ., Evanston, IL 60208; defining future directions in virtual reality ter, Philadelphia, PA 19104-2688; 215- e-mail: [email protected]. research. Symposium activities will range 382-9800; Fax: 215-386-7999; meetings@ 15-17. Second International Conference on from formal technical presentations to open siam.org. Ordinal Data Analysis, University of Mas­ discussion sessions. Virtual reality refers to 31-November 6. Algorithmische Methoden sachusetts, Amherst, MA. (Mar. 1993, p. 284) the use of three-dimensional displays and der Diskreten Mathematik, Oberwolfach, 17-23. Geometrie, Oberwolfach, Federal Re­ interaction devices to explore real-time computer-generated environments. Federal Republic of Germany. (Mar. 1992, public of Germany. (Jan. 1992, p. 57) SYMPOSIUM Co-cHAIRS: S. Bryson, CSC/ p.251) 18-20. Workshop on Coding, System The­ NASA Ames Res. Ctr. and S. Feiner, ory, and Symbolic Dynamics, Boston area. Columbia U. (Apr. 1993, p. 414) SYMPOSIUM TOPICS: Display and interaction 18-22. IMA Workshop on Finite Markov hardware including tracking, gesture recog­ November 1993 Chain Renaissance, Institute for Matheinatics nition, and graphics/audio/force/tactile dis­ 1-5. Third SIAM Conference on Geometric and its Applications, University of Minnesota, plays; software architectures; interaction Design, Tempe, AZ. (Dec. 1992, p. 1284) Minneapolis, MN. (Jan. 1993, p. 63) techniques; environment design; human 6-7. Western Section, Harvey Mudd College, factors; applications to visualization. 19-22. 1993 International Conference on Claremont, CA. Network Protocols (ICNP-93), San Fran­ INFORMATION: S. Bryson, e-mail (pre­ cisco, CA. (Jan. 1993, p. 63) ferred): [email protected] or 415-604- INFORMATION: W. Drady, AMS, P.O. Box 20-22. Stage de Bibliothecaires de Mathe­ 4524 for information on symposium format 6887, Providence, RI 02940. matiques, CIRM, Marseille, France. (Jan. and submission guidelines. 15-19. IMA Workshop on Random Dis­ 1993,p.63) Symposium on Parallel Rendering: PROGRAM: The growing acceptance of par­ crete Structures, Institute for Mathematics * 20-22. 1993 IEEE Workshop on VLSI allel computing has led to a recent surge of and its Applications, University of Minnesota, Signal Processing, Koningshof, Veldhoven, interest in parallel rendering techniques for Minneapolis, MN. (Jan. 1993, p. 63) The Netherlands. computer graphics applications. This sym­ 15-19. Systemes d'Equations Algebriques, PROGRAM: The objective of this workshop posium will provide a high-quality techni- CIRM, Marseille, France. (Jan. 1993, p. 63)

512 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Meetings and Conferences

* 15-19. Supercomputing '93, Portland, Ore- 6--10. International Congress on Modelling gon. Simulation, 1993, University of Western Aus­ tralia, Perth. (Feb. 1993, p. 187) February 1994 PROGRAM: This, the sixth in a series of on Dynamical Dis­ highly successful and well-attended con­ 12-18. General Principles of Discretization February 1994. Workshop north of Montreal. ferences, will bring together scientists, en­ Algorithms, Theory, and Applications, Ober­ ease, Laurentian Mountains p. 64) gineers, designers, and managers from all wolfach, Federal Republic of Germany. (Feb. (Jan. 1992, areas of high-performance computing and 1993,p. 187) 2-4. IMACS Symposium on Mathemati­ communications. Conference participants 12-18. Methoden und Verfahren der Math­ cal Modelling, Vienna, Austria. (Sep. 1992, will report on advances and experiences, ematischen Physik, Oberwolfach, Federal Re­ p. 775) discuss needs, suggest future directions, public of Germany. (Feb. 1993, p. 187) 6--12. C*-Algebren, Oberwolfach, Federal and exchange information, both formally Republic of Germany. (Mar. 1993, p. 285) and informally. One can become involved 13-19. Funktionentheorie, Oberwolfach, in Supercomputing '93 through the techni­ Federal Republic of Germany. (Mar. 1993, cal program, tutorials, workshops, student p.285) January 1994 program, or industry exhibit. The technical 20--26. Harmonische Analyse und Darstel­ num­ program will cover applications in a January-June 1994. A Semester at CRM: lungstheorie Topologischer Gruppen, Ober­ ber of disciplines and will feature invited Bifurcations and the Geometry of Vector wolfach, Federal Republic of Germany. (Mar. and contributed papers, panels, posters, and Fields, Universite de Montreal. (Jan. 1993, 1993, p. 286) research exhibits. The tutorials and work­ p.63) Economics, shops will feature experts on both the art 27-March 5. Mathematical 2-8. Modelltheorie, Oberwolfach, Federal and application of high-performance com­ Oberwolfach, Federal Republic of Germany. Republic of Germany. (Mar. 1993, p. 285) p. 286) puting and communications. The industry (Mar. 1993, exhibit will feature the latest in hard­ 4-7. International Symposium on Visco­ 28-March 4. IMA Workshop on Stochastic ware, software, applications, systems, and Elastic Fluids, Tobago (In the Republic of Networks, Institute for Mathematics and its services. There will also be an extensive Trinidad and Tobago). (Feb. 1993, p. 187) Applications, University of Minnesota, Min­ program for students. 4-8. International Conference on Harmonic neapolis, MN. (Jan. 1993, p. 64) INFORMATION: R.R. Borchers, Supercom­ Analysis and Operator Theory, Caracas, puting '93 Conference Chair, Lawrence Venezuela. (Jan. 1993, p. 64) Livermore National Laboratory, 7000 East 5-7. Semigroup Theory, Hobart, Tasmania, Avenue, L-414, Livermore, CA 94551; Australia. (Feb. 1993, p. 187) phone and fax: 1-800-G0-2-SC93 (1-800- 9-15. Algebraic Combinatorics: Associa­ March 1994 462-7293). Current conference informa­ Theory, tion Schemes and Representation 6--12. Mathematische Stochastik, Oberwol­ tion is available through anonymous ftp at Oberwolfach, Federal Republic of Germany. SC93-info.IIni.gov. fach, Federal Republic of Germany. (Mar. (Mar. 1993, p. 285) 1993, p. 286) 21-27. Mathematische Modelle in der Bi­ 12:-15. Joint Mathematics Meetings, Cincin­ 13-19. Elementare und Analytische Zahlen­ of the ologie, Oberwolfach, Federal Republic of Ger­ nati, OH (including the annual meetings theorie, Oberwolfach, Federal Republic of many. (Mar. 1992,p. 251) AMS, AWM, MAA, and NAM). Germany. (Mar. 1993, p. 286) 22-26. Geometrie Symplectique et Physique INFORMATION: H. Daly, AMS, P.O. Box 18-19. Southeastern Section, University of Mathematique, CIRM, Marseille, France. (Jan. 6887, Providence, RI 02940. Kentucky, Lexington, Kentucky. 1993, p. 63) INFORMATION: W. Drady, AMS, P.O. Box 22-27. Geometrie Symplectique, Marseille, * 23-25. Fifth Annual ACM-SIAM Sympo- 6887, Providence, RI 02940. France. (Feb. 1993,p. 187) sium on Discrete Algorithms, Arlington, VA. 28-December 4. Nonlinear Equations in ORGANIZER: D.D. Sleator, Carnegie Mellon 20--26. Regelungstheorie, Oberwolfach, Fed­ Many-Particle Systems, Oberwolfach, Fed­ u. eral Republic of Germany. (Mar. 1993, p. 286) eral Republic of Germany. (Mar. 1992, p. 251) CALL FOR PAPERS: Abstract deadline: July * 21-25. IMA Period of Concentration: 6, 1993. Stochastic Problems for Nonlinear Partial INFORMATION: SIAM Conference Coordi­ Differential Equations, Institute for Math­ nator, 3600 University City Science Center, ematics and its Applications, University of December 1993 Philadelphia, PA 19104-2688; 215-382- Minnesota, Minneapolis, MN. meet­ 1-4. Joint Meeting with the Sociedad 9800; Fax: 215-386-7999; e-mail: [email protected]. INFORMATION: Institute for Mathematics Matematica Mexicana, Merida, Yucatan, Mex­ and its Applications, University of Min­ ico. 23-29. Singulare Integral- und Pseudo­ nesota, 514 Vincent Hall, 206 Church St., INFORMATION: W. Drady, AMS, P.O. Box Differential-Operatoren und lhre Anwen­ SE, Minneapolis, MN 55455. 6887, Providence, RI 02940. dungen, Oberwolfach, Federal Republic of Germany. (Mar. 1993, p. 285) 25-26. Central Section, Kansas State Univer­ sity, Manhattan, KS. 5-9. 1993 International Symposium on Non­ 24-28. IMA Workshop on Mathematical linear Theory and its Applications (NOLTA Population Genetics, Institute for Mathemat­ INFORMATION: W. Drady, AMS, P.O. Box '93), Hawaii. (Apr. 1993, p. 414) ics and its Applications, University of Min­ 6887, Providence, RI 02940. 5-11. Dynamical Zeta Functions, Oberwol­ nesota, Minneapolis, MN. (Jan. 1993, p. 64) 27-April 2. Algebraische Gruppen, Ober­ fach, Federal Republic of Germany. (Feb. 1993, 30--February 5. Nichtstandardanalysis und wolfach, Federal Republic of Germany. (Mar. p. 187) Anwendungen, Oberwolfach, Federal Repub­ 1993,p.286) 5-11. Model Selection, Oberwolfach, Federal lic of Germany. (Mar. 1993, p. 285) Republic of Germany. (Feb. 1993, p. 187) 27-April 2. Endliche Modelltheorie, Ober-

MAY/JUNE 1993, VOLUME 40, NUMBER 5 513 Meetings and Conferences

wolfach, Federal Republic of Germany. (Mar. Oberwolfach, Federal Republic of Germany. 5100 Aachen, Germany; tel: (241) 80 49 1993,p.286) (Mar. 1993, p. 287) 21; Fax: (241) 80 39 52. 30-June 9. Workshop on Group Represen­ Summer 1994. Summer Regional Centers­ tation Theory, Technion, Israel Institute of TRANSIT, Ohio State University, Columbus, Technology, Haifa, Israel. (Dec. 1992, p. 1284) April1994 OH. (Oct. 1992, p. 951) 31-June 3. IMA Minisymposium on Phase 3-9. Arbeitsgemeinschaft Mit Aktuellem 13-17. IMA Workshop on Classical & Transitions in Catalytic Surface Reaction Thema (wird in den Mitteilungen der DMV Modem Branching Processes, Institute for Models, Institute for Mathematics and its Ap­ Heft 1/1994 Bekanntgegeben), Oberwolfach, Mathematics and its Applications, University plications, University of Minnesota, Minneapo­ Federal Republic of Germany. (Mar. 1993, of Minnesota, Minneapolis, MN. (Jan. 1993, lis, MN. (Jan. 1993, p. 64) p. 286) p. 64) 5-11. Effective Methods in Algebraic Ge­ 16-18. Western Section, University of Ore­ ometry (MEGA '93), Santander, Spain. (Mar. gon, Eugene, Oregon. 1993, p. 286) June 1994 INFORMATION: W. Drady, AMS, P.O. Box 9-10. Eastern Section, Polytechnic Univer­ 6887, Providence, RI 02940. sity, Brooklyn, NY. 1-7. 1994 Barcelona Conference on Alge­ 19-25. Quantenmechanik von Vielteilchen INFORMATION: W. Drady, AMS, P.O. Box braic Topology, Sant Feliu de Guixols (near Systemen, Oberwolfach, Federal Republic of 6887, Providence, RI 02940. Barcelona, Spain). (Jan. 1993, p. 64) Germany. (Mar. 1993, p. 287) 12-18. Nichtlinearitaten v'om Hysteresis­ 10-16. Numerical Linear Algebra with typ, Oberwolfach, Federal Republic of Ger­ 19-25. Integrable Systems from a Quantum Applications, Oberwolfach, Federal Republic many. (Mar. 1993, p. 287) Point of View, Oberwolfach, Federal Republic of Germany. (Mar. 1993, p. 286) of Germany. (Mar. 1993, p. 287) 13-17. Fifth International Conference on 17-23. Designs and Codes, Oberwolfach, Hyperbolic Problems Theory, Numerical 20-24. Probabilites Quantiques, CIRM, Mar­ Federal Republic of Germany. (Mar. 1993, Methods, and Applications, Stony Brook, seille, France. (Jan. 1993, p. 64) p. 286) NY. (May/Jun. 1992, p. 497) * 25-July 2. Symposium on Diophantine Prob­ 24-30. Geschichte der Mathematik, Ober­ * 13-17. European Conference on Elliptic lems in Honor of Wolfgang Schmidt's 60th wolfach, Federal Republic of Germany. (Mar. and Parabolic Problems, Pont-a-Mousson, Birthday, Boulder, Colorado. (Please note this 1993,p.286) France. date was incorrectly listed in Apr. 1993, p. 410) CONFERENCE ToPICS: General theory of PRoGRAM: Each day of the conference there elliptic and parabolic problems; and the ap­ will be lectures from three or four invited plications, free boundary problems, fluid speakers. There will also be special sessions May 1994 mechanics, evolution problems in gen­ of shorter talks. eral, calculus of variations, homogeniza­ INVITED SPEAKERS: Tentative: A. Baker 1-7. Gruppentheorie, Oberwolfach, Federal (Cambridge), J. Beck (Rutgers), W.D. Republic of Germany. (Mar. 1993, p. 286) tion, modeling, and numerical analysis. Brownawell (Penn State), J. Coates (Cam­ 2-6. IMA Workshop on Image Models (and INVITED SPEAKERS: H.W. Alt, Bonn; J. Carrillo, Madrid; D. Cioranescu, Paris VI; bridge), D.W. Masser (Basel), P. Philippon Their Speech Model Cousins), Institute for (Paris), P. Samak (Princeton), H.P. Schlick­ Mathematics and its Applications, University B. Dacorogna, Lausanne; G. Dal Maso, Trieste; G. Dziuk, Freiburg; C.M. Elliott, ewei (Ulm), A. Schinzel (Warsaw), J. Sil­ of Minnesota, Minneapolis, MN. (Jan. 1993, verman (Brown), H. Stark (San Diego), p. 64) Sussex; A. Fasano, Florence; I. Fonseca, Carnegie Mellon; R. Glowinski, Houston; C.L. Stewart (Waterloo), R. Tijdeman (Lei­ 2-6. International Conference on Topolog­ N. Kenmochi, Chiba; R.V. Kohn, NY; den), R.C. Vaughan (Imperial), P. Vojta ical Vector Spaces, Algebras, and Related B. Larrouturou, INRIA; M. Luskin, Min­ (Berkeley), M. Waldschmidt (Paris), G. Areas, McMaster University, Hamilton, On­ neapolis; J.L. Lions, College de France; F. Wustholz (Zurich). tario, Canada. (Mar. 1993, p. 286) Murat, Paris VI; J. Necas, Prague; A. Pozio, INFORMATION: D. Grant and R. Tubbs, 8-14. Variationsrechnung, Oberwolfach, Rome; L.A. Peletier, Leiden; P.H. Rabin­ Dept. of Math., Campus Box 395, Univer­ Federal Republic of Germany. (Mar. 1993, owitz, Madison; R. Rannacher, Heidel­ sity of Colorado, Boulder, CO 80309; or p. 286) berg; C. Sbordone, Naples; N.S. Trudinger, e-mail: [email protected]. 15-21. Critical Phenomena in Spatial Sto­ Canberra; N.N. Uraltseva, St. Petersbourg; 26-July 2. Graphentheorie, Oberwolfach, chastic Models, Oberwolfach, Federal Repub­ H.F. Weinberger, Minneapolis; E. Zuazua, Federal Republic of Germany. (Mar. 1993, lic of Germany. (Mar. 1993, p. 286) Madrid. p.287) CALL FOR PAPERS: In addition to the main 16-20. IMA Workshop on Stochastic Mod­ 26-July 2. Inverse Problems, Lake St. Wolf- lectures, parallel sessions of short commu­ * els in Geosystems, Institute for Mathematics gang, Austria. and its Applications, University of Minnesota, nications will be organized. The deadline Minneapolis, MN. (Jan. 1993, p. 64) for submitting an abstract is January 1, PRoGRAM: This is the first in a series 16-20. GWmetrie Algebrique, CIRM, Mar­ 1994. of conferences on inverse problems to seille, France. (Jan. 1993, p. 64) INFORMATION: C. Bandle, Mathematisches be organized for SIAM and GAMM by lnst. der Universitiit, Rheinsprung 21, CH- D. Colton (Delaware), H.W. Engl (Linz), 22-28. Diskrete Geometrie, Oberwolfach, 4051 Basel, Switzerland; tel: (61) 261 03 A. Louis (Saarbrticken), and W. Rundell Federal Republic of Germany. (Mar. 1993, 01; Fax: (61) 261 03 12; or M. Chipot, (Texas A&M). p.287) J. Saint Jean Paulin, I. Shafrir, Univ. de INFORMATION: H.W. Engl, Johannes Kepler 24-27. Conference on Hermann G. GraB­ Metz, Dept. de Math., lle du Saulcy, 57 045 Universitat, A-4040 Linz, Austria; e-mail: mann (1809-1877), Isle of RUgen, Germany. Metz-Cedex 01, France; tel: 87 31 52 74; [email protected]. (September 1992, p. 775) Fax: 87 3152 73; or J. Bemelmans, RWTH 29-June 4. Singulare Storungsrechnung, Aachen, lnst. fur Math., Templergraben 55,

514 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Meetings and Conferences

INFORMATION: W. Drady, AMS, P.O. Box 6887, Providence, RI 02940. August 1994 October 1994 3-11. The International Congress of Math­ 28-29. Central Section, Oklahoma State ematicans 1994, Ziirich, Switzerland. (Oct. University, Stillwater, Oklahoma. November 1995 1992, p. 951) INFORMATION: W. Drady, AMS, P.O. Box 3--4. Central Section, Kent State University, 15-17. Mathfest, University of Minnesota, 6887, Providence, RI 02940. Kent, Ohio. Minneapolis, MN (including the summer meet­ INFORMATION: W. Drady, AMS, P.O. Box of the AMS, AWM, MAA, and PME). ings RI 02940. November 1994 6887, Providence, INFORMATION: H. Daly, AMS, P.O. Box 6887, Providence, RI 02940. 11-13. Southeastern Section, University of Richmond, Richmond, VA. January 1996 * 15-19. Fifteenth International Symposium on Mathematical Programming, University INFORMATION: W. Drady, AMS, P.O. Box 10-13. Joint Mathematics Meetings, Or­ of Michigan, Ann Arbor, MI. (Please note that 6887, Providence, RI 02940. lando, Florida (including the annual meetings this date was previously listed incorrectly in of the AMS, AWM, MAA, and NAM). April1993, p. 416.) AMS, P.O. Box January 1995 INFORMATION: H. Daly, INFORMATION: Send e-mail to xvismp@ 6887, Providence, RI 02940. um.cc.umich.edu or write to 15th Interna­ 4-7. Joint Mathematics Meetings, San Fran­ tional Symposium on Mathematical Pro­ cisco, CA (including the annual meetings of 1996 gramming, Conferences and Seminars, 541 the AMS, AWM, MAA, and NAM). March Thompson St., Room 112, Univ. of Michi­ INFORMATION: H. Daly, AMS, P.O. Box 22-23. Central Section, University of Iowa, Fax: gan, Ann Arbor, MI 48109-1360; 6887, Providence, RI 02940. Iowa City, Iowa. 313-764-2990. INFORMATION: W. Drady, AMS, P.O. Box 6887, Providence, RI 02940. The following new announcements will not March 1995 be repeated until the criteria in the last 24-25. Central Section, DePaul University, paragraph in the box at the beginning of this Chicago, IL. section are met.

Nonlinear and Global Analysis Felix E. Browder, Editor Volume 1

and 1984 This volume contains a number of re~earch-expository articles that appeared in the Bulletin of the AMS between 1979 theme and that address the general area of nonlinear functional analysis and global analysis and their applications. The central and geometry. concerns qualitative methods in the study of nonlinear problems arising in applied mathematics, mathematical physics, applications. Since these articles first appeared, the methods and ideas they describe have been applied in an ever-widening array of in the Readers will find this collection useful, as it brings together a range of influential papers by some of the leading researchers field.

1991 Mathematics Subject Classification: 35, 47, 49, 58 ISBN 0-8218-8500-6, 625 pages (softcover), December 1992 Individual member $44, List price $73, Institutional member $58 To order, please specify BULLRE/1NA

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New Series! 1991 Mathematics Subject Classification: 11F27, 11F37, 11F57, 11F70; 22E55, 33010, 33E25 ISBN 0-8218-6997-3, LC 93-15008, ISSN 1065-8580 Centre de Recherches Mathl'!matiques 174 pages (hardcover), June 1993 Proceedings and Lecture Notes Individual member $35, List price $58, Institutional member $46 To order, please specify CRMP/lN The American Mathematical Society and the Centre de Recherches Mathematiques are very pleased to announce a new copublishing agreement for two important new book series, CRM Monograph Series and CRM Proceedings & Lecture Notes. CONTEMPORARY MATHEMATICS The CRM, located on the campus of l'Universite de Montreal, carries out research primarily in certaiv. applied and interdisciplinary areas: control, dynamical systems, optimization, engineering design, biology, mathematical physics, analysis, etc. As a national research A Tribute to Emil center, the CRM also organizes a wide range of activities spanning Grosswald: Number all pure and applied areas, involving hundreds of scientists annually from around the world. Theory and Related A Tribute to Emil Grosswald: Number Theory Analysis and Related Analysis Marvin Knopp and Mark Sheingorn, CRM PROCEEDINGS Editors AND LECTURE NOTES Volume 143 Emil Grosswald was a mathematician of great accomplishment and remarkable breadth of vision. This volume pays tribute to the span of his mathematical interests, which is reflected Theta Functions: From the in the wide range of papers collected here. With contributions by Classical to the Modern leading contemporary researchers in number theory, modular functions, combinatorics, and related analysis, this book will interest graduate M. Ram Murty, Editor students and specialists in these fields. The high quality of the articles Volume 1 and their close connection to current research trends make this volume This book contains lectures on theta a must for any mathematics library. functions written by experts well known M...... llurly.MIIi:IT Contents for excellence in exposition. The lectures Preface; In appreciation of Emil Grosswald; Ph.D. students of Emil Grosswald; represent the content of four courses Publications of Emil Grosswald; G. Almkvist, A rather exact formula for given at the Centre de Recherches the number of plane partitions; G. E. Andrews, On Ramanujan's empirical e---8oolclll Mathematiques in Montreal during calculation for the Rogers-Ramanujan identities; P. T. Bateman, Integers the academic year 1991-1992, which expressible in a given number of ways as a sum of two squares; B. C. Berndt was devoted to the study of automorphic forms. Aimed at graduate and J. L. Hafner, A theorem ofRamanujan on certain alternating series; D. M. students, the book synthesizes the classical and modem points of view Bressoud and S.-Y. Wei, Combinatorial equivalence of definitions of the Schur in theta functions, concentrating on connections to number theory function; N. Celnicker, S. Poulos, A. Terras, C. Trimble, and E. Velasquez, and representation theory. An excellent introduction to this important Is there life on finite upper half planes?; YJ. Choie and D. Zagier, Rational subject of current research, this book is suitable as a text in advanced period functions for P S L(2, Z ); L. A. Parson, Rational period functions graduate courses. and indefinite binary quadratic forms, III; D. V. Chudnovsky and G. V. Contents Chudnovsky, Hypergeometric and modular function identities, and new rational Preface; B. C. Berndt, Ramanujan's theory of theta-functions; J. Hoffstein, approximations to and continued fraction expansions of classical constants Eisenstein series and theta functions on the metaplectic group; D. Prasad, Weil and functions; H. Cohn, Orbital modular equations; B. A. Datskovsky, A representation, Howe duality, and the theta correspondence; S. Gelbart, On mean-value theorem for class numbers of quadratic extensions; F. Delmer and theta-series liftings for unitary groups. J.-M. Deshouillers, On a generalization ofFarey sequences, I; H. G. Diamond, (continued) H. Halberstam, and H.-E. Richert, Sieve auxiliary functions IT; W. Duke

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516 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY IBTIH-TI·.·; ·r TH.Tf@H![TfTTf'VTTTHTlt!""'%!1 New Publications Offered by the AMS

and H. lwaniec, A relation between cubic exponential and Kloosterman spectra; B. Gray, v2 periodic homotopy families; H.-W. Henn and H. Mui, sums; L. Ehrenpreis, Function theory for Rogers-Ramanujan-like partition Stable splittings for classifying spaces of alternating, special orthogonal and identities; P. Erdos, D. J. Newman, and J. Knappenberger, Forcing two sums special unitary groups; T. Kashiwabara, On the homotopy type of configuration simultaneously; R. J. Evans, K. B. Stolarsky, and J. J. Wavrik, Difference complexes; S. 0. Kochman, The ring structure of BoP*; W.-H. Lin, Projectivity polynomials; J, E. Friedman, An application of Ehrenpreis's basis method to of the Whitehead product in spheres II; J. M. Lodder, Dihedral homology and the Rogers-Ramanujan identities; J. Galambos, Extensions of some extremal homotopy fixed point sets; M. Mahowald and W. Richter, O.SU(N) does not properties of prime divisors to Poisson limit theorems; E. Gethner, Rational split in 2 suspensions, for N 2 3; M. Mahowald and K. Shimomura, The period functions with irrational poles are not Heeke eigenfunctions; D. Goldfeld Adams-Novikov spectral sequence for the L 2 localization of a v2 spectrum; B. M. and J, Hoffstein, On the number of Fourier coefficients that determine a Mann and R. J, Milgram, The topology of rational maps to Grassmannians modular form; S. M. Gonek, An explicit formula of Landau and its applications and a homotopy theoretic proof of the Kirwan stability theorem; H. J, Marcum, to the theory of the zeta-function; B. Gordon and K. Hughes, Multiplicative Obstructions for a map to be cyclic; C. A. McGibbon, Loop spaces and phantom properties ofry-products II; M. J. Grady and M. Newman, Counting subgroups maps; M. Mimura, S. Oka, and M. Yasuo, K-theory and the homotopy types of of given index in Heeke groups; J, L. Hafner, P. Sarnak, and K. McCurley, some function spaces; N. Minami, On the double transfer; J. Morava, Some Relatively prime values ofpolynomials; P. Hagis, Jr., A new proof that every odd examples ofHop[ algebras and Tannakian categories; G. Moreno, The Hurewicz triperfect number has at least twelve prime factors; J. H. Hawkins and M. I. homomorphism of the compact exceptional Lie group E 6 ; K. Morisugi, Periodic Knopp, A Hecke-Weil correspondence theorem for automorphic integrals on behavior of EC Poo and its applications; Y. Rudyak, On the orientability f 0 (N), with arbitrary rational period functions; J. Lehner, Lagrange's theorem of bundles and fibrations: the obstruction theory and applications to K, KO for Heeke triangle groups; M. R. Murty and V. K. Murty, Base change and and Morava K-theories; H. Sadofsky, Hopkins' and Mahowald's picture of the Birch-Swinnerton-Dyer conjecture; D. J, Newman, A "naturaf' proof of the Shimomura's v1 -Bockstein spectral sequence calculation; M. C. Tangora, Some non-vanishing of L-series; A.M. Odlyzko and C. M. Skinner, Nonexistence of remarks on products in Ext; R. D. Thompson, A relation between K-theory and Siegel zeros in towers of radical extensions; L.A. Parson, Modular integrals unstable homotopy groups with an application to BEp; P. J. Webb, Graded and indefinite binary quadratic forms; R. A. Rankin, Diagonalizing Eisenstein G-sets, symmetric powers of permutation modules, and the cohomology of series, II; D. Rosen, Multiplier systems for the Heeke groups G( J2) and G( v3); wreath products; J, A. Wood, Nilpotent elements in the Bockstein spectral M. Sheingorn, Low height Heeke triangle group geodesics; T. R. Shemanske sequence for BSpin(n); Appendix 1: The publications of Mark Mahowald; P. L. and L. H. Walling, On the Shimura lift for Hilbert modular forms; H. M. Shick, Appendix 2: Adams Spectral Sequence chart. formula revisited; D. Zeilberger, Closed form Stark, Dirichlet's class-number 1991 Mathematics Subject Classification: 55-06; OOB30 (pun intended!); D. Zeilberger, Gert Almkvist's generalization of a mistake of ISBN 0-8218-5162-4, LC 93-15227, ISSN 0271-4132 Bourbaki. 481 pages (softcover), June 1993 Individual member $43, List price $71, Institutional member $57 1991 Mathematics Subject Classification: 05A16, 05A30, 11-06, 14H45, 33C05 To order, please specify CONM/146N ISBN 0-8218-5155-1, LC 92-39436, ISSN 0271-4132 612 pages (softcover), March 1993 Individual member $47, List price $79, Institutional member $63 To order, please specify CONH143N Graph Structure Theory Neil Robertson Algebraic Topology: and Paul Seymour, Theory Oaxtepec 1991 Graph Structure Editors Martin C. Tangora, Editor Volume 147 This volume contains the proceedings Volume 146 Algebraic Topology of the AMS-IMS-SIAM Joint Summer Oaxtepec 1991 This book consists of twenty-nine Research Conference on Graph Minors, articles contributed by participants held at the University of Washington of the International Conference in in Seattle in the summer of 1991. Algebraic Topology held in July 1991 in Among the topics covered are algorithms on tree-structured graphs, Oaxtepec, Mexico. In addition to papers well-quasi-ordering, logic, infinite graphs, disjoint path problems, on current research, there are several surface embeddings, knot theory, graph polynomials, matroid theory, surveys and expositions on the work of and combinatorial optimization. Mark Mahowald, whose sixtieth birthday was celebrated during the conference. The conference was truly international, with over 130 Contents mathematicians from fifteen countries. It ended with a spectacular total W. T. Thtte, Polynomials; J. Oxley and G. Whittle, Tutte invariants for eclipse of the sun, a photograph of which appears as the frontispiece. 2-polymatroids; J. P. S. Kung, Extremal matroid theory; T. M. Przytycka The papers range over much of algebraic topology and cross over and J. H. Przytycki, Subexponentially computable truncations of Jones-type into related areas, such as K -theory, representation theory, and Lie polynomials; D. J, A. Welsh, Knots and braids: some algorithmic questions; groups. Also included is a chart of the Adams spectral sequence and a N. Robertson, P. D. Seymour, and R. Thomas, A survey of linkless embeddings; bibliography of Mahowald's publications. Y. C. de Verdiere, On a new graph invariant and a criterion for planarity; 0. Borodin, Four problems on plane graphs raised by Branko Grunbaum; Contents B. Reed, Counterexamples to a conjecture of Las Vergnas and Meyniel; Preface; List of speakers; List of participants; H. R. Miller and D. C. B. Bollobas, B. Reed, and A. Thomason, An extremal function for the Ravenel, Mark Mahowald's work on the homotopy groups of spheres; D. M. achromatic number; H. J. Priimel and A. Steger, The asymptotic structure of Davis, Immersions of projective spaces: a historical survey; D. Blanc, Abelian H free graphs; M. Fellows, J, KratochVI1, M. Middendorf, and F. Pfeiffer, IT-algebras and their projective dimension; J. M. Boardman, Modular Induced minors and related problems; A. Schrijver, Induced circuits in graphs representations on the homology of powers of real projective space; R. R. on surfaces; A. Frank and T. Jordan, Tree-representation of directed circuits; Bruner, Ext in the nineties; F. R. Cohen and L. R. Taylor, On the representation W. McCuaig, Intercyclic digraphs; J. Bang-Jensen and S. Poljak, Eulerian theory associated to the cohomology of configuration spaces; P. Goerss, trails through a set of terminals in specific, unique, and all orders; H. Okamura, J, Lannes, and F. Morel, Hop[ algebras, Witt vectors, and Brown-Gitler 2-reducible cycles containing two specified edges in (2k + 1)-edge-connected

MAY/JUNE 1993, VOLUME 40, NUMBER 5 517 New Publications Offered by the AMS

graphs; A. Huck, Edge-disjoint cycles in n-edge-connected graphs; B. A. 1991 Mathematics Subject Classification: 34C23, 34005, 34El5, 49K15, 58F14, Reed, N. Robertson, A. Schrijver, and P. D. Seymour, Finding disjoint 93B50,93C15;34C20,34C45,34D30,34E05,58F05,58F21,93C85 trees in planar graphs in linear time; T. M. Przytycka and J. H. Przytycki, ISBN 0-8218-3148-8, LC 93-7068, ISSN 0081-5438 Surface triangulations without short noncontractible cycles; R. P. Vitray, 186 pages (softcover), May 1993 Individual member $69, List price $115, Institutional member $92 Representativity and flexibility on the projective plane; X. Zha andY. Zhao, On To order, please specify STEKL0/197N non-null separating circuits in embedded graphs; S. Negami, Projective-planar graphs with even duals II; N. Dean and K. Ota, 2jactors, connectivity, and graph minors; J. P. Huneke, A conjecture in topological graph theory; X. Zha, On the closed 2-cell embedding conjecture; C.-Q. Zhang, Cycle cover TRANSLATIONS OF MATHEMATICAL theorems and their applications; L. Goddyn, Cones, lattices, and Hilbert bases MONOGRAPHS of circuits and perfect matchings; P. Gvozdjak and J. Siran, Regular maps from voltage assignments; B. Oporowski, The infinite grid covers the infinite half-grid; R. Diestel, Dominating functions and topological graph minors; H. A. Jung, Notes on rays and automorphisms of locally finite graphs; L. Gordeev, Quasi-ordinals and proof theory; D. Vertigan, Minor classes; J. Gustedt, Local Fields Well quasi ordering finite posets; G. Ding, The immersion relation on webs; and Their Extensions: N. Robertson, P. D. Seymour, and R. Thomas, Structural descriptions of lower ideals of trees; K. Abrahamson and M. Fellows, Finite automata, A Constructive Approach bounded treewidth, and well-quasiordering; B. Courcelle, Graph grammars, I. B. Fesenko monadic second-order logic, and the theory of graph minors; A. Proskurowski, and S. V. Vostokov Graph reductions, and techniques for finding minimal forbidden minors; Volume 121 J. Lagergren, An upper bound on the size of an obstruction; M. A. Langston, An obstruction-based approach to layout optimization; C. R. Coullard and This book is devoted to the study D. K. Wagner, Decomposing 3-connected graphs; A. K. Kelmans, Graph of complete discrete valuation fields planarity and related topics; N. Robertson and P. Seymour, Excluding a graph with perfect residue fields. One special with one crossing; N. Dean, Open problems. feature is the absence of cohomology; although most specialists would find it difficult to conceive of serious 1991 Mathematics Subject Classification: 05C75, 05C40, 05C10; 05C15, 05C38, discussions in this area without the application of cohomology groups, 05B35, 05C85, 57M25, 57M15, 06A06, 68R10 the authors believe that many problems can be presented more rationally ISBN 0-8218-5160-8, LC 93-18553, ISSN 0271-4132 when based on more natural, explicit constructions. In addition, a 688 pages (softcover), June 1993 to be preferable for those who are Individual member $49, List price $81, Institutional member $65 cohomology-free treatment seems To order, please specify CONM/147N first encountering this subject. The main prerequisite is a standard graduate course in algebra, and familiarity with p -adic fields is also helpful background. "[This] book contains vast information on local fields. It offers the PROCEEDINGS OF THE STEKLOV reader the possibility to see the beauty and diversity of this subject." INSTITUTE OF MATHEMATICS -from the Foreword by I. R. Shafarevich Contents Complete discrete valuation fields; Extensions of discrete valuation fields; The norm map; Local class field theory. I; Local class field theory. II; The group of Some Questions in the units in a p -adic field; Explicit formulas for the Hilbert norm residue symbol; Theory of Oscillations Explicit formulas for the Hilbert pairing on formal groups; The Milnor K-groups of a local field. and the Theory of Optimal 1991 Mathematics Subject Classification: 11S31 Control ISBN 0-8218-4613-2, LC 93-14840, ISSN 0065-9282 R. V. Gamkrelidze, Editor 283 pages (hardcover), May 1993 Volume 197 Individual member $71, List price $118, Institutional member $94 To order, please specify MMON0/121N This book contains two fundamental papers. The first is, in essence, a short monograph devoted to the theory of periodic motions in singularly perturbed systems. The second deals with structural properties of the solutions of a system having infinitely many switchings on a finite time interval to Hamiltonian systems with discontinuous right-hand side. Contents E. F. Mishchenko and A. Yu. Kolesov, Asymptotic theory of relaxation oscillations; M. I. Zelildn and V. F. Borisov, Regimes with increasingly more frequent switchings in optimal control problems. (continued)

518 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY -"IBfi'@_,:-::... JllitTI•iJWf§!EWifflGJt .1£ii"/ _\- ]"""" ~"""'"""A·----~~-~m--ww New Publications Offered by the AMS

Theory of Entire and 1991 Mathematics Subject Classification: 01A70; 01A60, 01A55 ISBN 0-8218-4587-X, LC 93-6932, ISSN 0065-9282 Meromorphic Functions­ 319 pages (hardcover), May 1993 Deficient and Asymptotic Individual member $92, List price $153, Institutional member $122 Values and Singular To order, please specify MMON0/123N Directions Zhang Guan-Hou Em beddings Translated by and Immersions Chung-Chun Yang Masahisa Adachi Volume 122 Translated by Kiki Hudson This book was originally written in Volume 124 analyst Zhang Guan-Hou, who Chinese in 1986 by the noted complex This book covers fundamental was a research fellow at the Academia Sinica. The book provides techniques in the theory of C 00 - to the development of the theory of entire and a basic introduction embeddings and C 00 -immersions, to the early 1980s. After an meromorphic functions from the 1950s emphasizing clear intuitive understanding of Nevanlinna's value opening chapter introducing fundamentals and containing many figures and theory, this book discusses various relationships among distribution diagrams. Adachi starts with an introduction to the work of Whitney and and developments of three central concepts: deficient value, asymptotic of Haefliger on C 00 -embeddings and C 00 - manifolds. The Smale-Hirsch and singular direction. This book describes many significant value, theorem is presented as a generalization of the classification of results and research directions developed by Zhang and other Chinese C 00-embeddings by isotopy and is extended by Gromov's work on analysts, and published in Chinese mathematical journals. A complex the subject, including Gromov's convex integration theory. Finally, and self-contained reference, this book is useful for comprehensive as an application of Gromov's work, Adachi introduces Haefliger's graduate students and researchers in complex analysis. classification theorem of foliations on open manifolds. Also described Contents here is Adachi's work with Landweber on the integrability of almost an excellent Preface; The Nevanlinna theory; The singular directions; The deficient value complex structures on open manifolds. This book would be courses. theory; The asymptotic value theory; The relationship between deficient \;alues text for upper-division undergraduate or graduate between de}icient and asymptotic values of an entire function; The relationship Contents values of a meromorphic function and direct transcendental singularities of its Preface to the English edition; Preface; Regular closed curves in the plane; inverse functions; Some supplementary results. cr manifolds, cr maps, and fiber bundles; Embeddings of coo manifolds; 1991 Mathematics Subject Classification: 30D30, 30D35 Immersions ofC00 manifolds; The Gromov convex integration theory; Foliations ISBN 0-8218-4589-6, LC 93-43, ISSN 0065-9282 of open manifolds; Complex structures on open manifolds; Embeddings of C 00 375 pages (hardcover), May 1993 manifolds (continued). Individual member $109, List price $182, Institutional member $146 To order, please specify MMON0/122N 1991 Mathematics Subject Classification: 57R40, 57R42; 58D10 ISBN 0-8218-4612-4, LC 93-7464, ISSN 0065-9282 183 pages (hardcover), June 1993 Elie Cartan (1869-1951) Individual member $62, List price $103, Institutional member $82 MMON0/124N M. A. Akivis To order, please specify and B. A. Rosenfeld Volume 123 UNIVERSITY LECTURE SERIES This book describes the life and achievements of the great French mathematician, Elie Cartan. Here readers will find detailed descriptions of \ lil\<1">11\ LEe I'UI algebras, associative algebras, differential Symmetric Functions, equations, and differential geometry, and the Heeke Algebra stemming from his ideas. The volume Group Characters, as well as later developments Symmetric Functions, David M. Goldschmidt tribute to and the Heeke Algebra includes a biographical sketch of Cartan's life. A monumental Volume4 a towering figure in the history of mathematics, this book will appeal to and mathematicians and historians alike. Directed at graduate students mathematicians, this book covers an Contents unusual set of interrelated topics, The life and the work of E. Cartan; Lie groups and algebras; Projective presenting a self-contained exposition of spaces and projective metrics; Lie pseudogroups and Pfaffian equations; The the algebra behind the Jones polynomial method of moving frames and differential geometry; Riemannian manifolds. along with various excursions into related areas. The book is made up Symmetric spaces; Generalized spaces; Appendix A. Rapport sur les travaux of lecture notes from a course taught by Goldschmidt at the University de M. Cartan by H. Poincare; Appendix B. Sur une degenerescence de Ia of California at Berkeley in 1989. The course was organized in three geometrie euclidienne; Appendix C. Allocution de M. Elie Cartan; Appendix D. parts. Part I covers, among other things, Burnside's Theorem that The influence of France in the development of Mathematics. groups of order paqb are solvable, Frobenius' Theorem on the existence (continued) of Frobenius kernels, and Brauer's characterization of characters. Part II covers the classical character theory of the symmetric group

MAY/JUNE 1993, VOLUME 40, NUMBER 5 519 New Publications Offered by the AMS

"~~~ -,-,, ~ ' and includes an algorithm for computing the character table of sn; a MEM,OIRS Markov Cell Structures construction of the Specht modules; the "determinant form" for the near a Hyperbolic Set irreducible characters; the hook-length formula of Frame, Robinson, and Thrall; and the Murnaghan-Nakayama formula. Part III covers the Tom Farrell ordinary representation theory of the Markov Cell Structures and Lowell Jones Heeke algebra, the construction near a HyperboUc Set of the two-variable Jones polynomial, and a derivation of Ocneanu's Volume 103, Number 491 "weights" due to T. A. Springer. Let F : M --> M denote a Contents self-diffeomorphism of the smooth Part 1: Finite-dimensional algebras; Group characters; Divisibility; Induced manifold M and let A c M denote a characters; Further results; Part II: Permutations and partitions; The hyperbolic set for F. Roughly speaking, irreducible characters of sn; The Specht modules; Symmetric functions; The a Markov cell structure for F : M --> M Schur functions; The Littlewood-Richardson ring; Two useful formulas; Part ID: near A is a finite cell structure C for a neighborhood of A in M such The Heeke algebra; The Markov trace. that, for each cell e E C, the image under F of the unstable factor of e is equal to the union of the unstable factors of a subset of C, and 1991 Mathematics Subject Classification: 20C15, 20C30, 20F36, 57M25 the image of the stable factor of e under p-l is equal to the union of ISBN 0-8218-7003-3, LC 92-43284, ISSN 1047-3998 the stable factors of a subset of C. The main result of this work is that 73 pages (softcover), June 1993 for some positive --> Individual member $42, List price $70, Institutional member $56 integer q, the diffeomorphism Fq : M M has a To order, please specify ULECT/4N Markov cell structure near A. A list of open problems related to Markov cell structures and hyperbolic sets can be found in the final section of the book. MEMOIRS OF THE AMS Contents Introduction; Some linear constructions; Proofs ofpropositions 2.10 and 2.14; Some smooth constructions; The foliation hypothesis; Smooth triangulation near A; Smooth ball structures near A; Triangulating image balls; The thickening ~ Phantom Homology theorem; Results in P. L. topology; Proof of the thickening theorem; The limit ME!V!Oif\~ theorem; Construction of Markov cells; Removing the foliation hypothesis; Melvin Hochster Selected problems; References. ''' and Craig Huneke 1991 Mathematics Subject Classification: 58Fl5, 58F12, 58F09; 57R05, 57R30, Volume 103, Number 490 57R50 Phantom Homology This book uses a powerful new ISBN 0-8218-2553-4, LC 93-464, ISSN 0065-9266 138 pages (softcover), May 1993 technique, tight closure, to provide Individual member $19, List price $32, Institutional member $26 insight into many different problems To order, please specify MEM0/103/491N that were previously not recognized as

related. The authors develop the notion =r=i'X' ~ of weakly Cohen-Macaulay rings or MEfV\()Jt\~ Categories of Modules modules and prove some very general acyclicity theorems. These theorems are applied to the new theory of ' . . over Endomorphism phantom homology, which uses tight closure techniques to show that Rings certain elements in the homology of complexes must vanish when Categories of Modules Theodore G. Faticoni mapped to well-behaved rings. These ideas are used to strengthen over Endomorphism~ various local homological conjectures. Initially, the authors develop the Volume 103, Number 492 theory in positive characteristic, but it can be extended to characteristic The goal of this work is to develop a 0 by the method of reduction to characteristic p. The book is suitable I> functorial transfer of properties between for an advanced graduate course in commutative algebra. a module A and the category ME of right modules over its endomorphism Contents ring E that is more sensitive than the Introduction; Minheight and the weak Cohen-Macaulay property; Acyclicity traditional starting point Hom(A, ·).The main result is a factorization criteria with denominators for complexes of modules; Vanishing theorems qAt A of the left adjoint TA of Hom(A, ·),where tA is a category for maps of homology via phantom acyclicity; Regular closure; Intersection equivalence and qA is a forgetful functor. Applications include a theorems via phantom acyclicity. characterization of the finitely generated submodules of the right 1991 Mathematics Subject Classification: 13A35, 13D25, 13E05 E-modules Hom( A, G), a connection between quasi-projective ISBN 0-8218-2556-9, LC 93-463, ISSN 0065-9266 modules and flat modules, an extension of some recent work on 91 pages (softcover), May 1993 endomorphism rings of ~-quasi-projective modules, an extension of Individual member $17, List price $29, Institutional member $23 Fuller's Theorem, characterizations of several self-generating properties To order, please specify MEM0/103/490N and injective properties, and a connection between ~-self-generators and quasi-projective modules. Contents Construction ofthe categories; Tensor and Homfunctors; Category equivalences; Special morphisms; Category Equivalences for HA; Projective properties in M(PA); Injective properties. (continued)

520 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY New Publications Offered by the AMS

!991 Mathematics Subject Classification: 16070, 16090, 16E50, 16P40, 16P60, interests and inspires him as a mathematician, this videotape would be !6S50, 16U50, 20K15, 20K35 accessible to a general audience. ISBN 0-8218-2554-2, LC 93-465, ISSN 0065-9266 !40 pages (softcover), May 1993 1991 Mathematics Subject Classification: 00, 01 Individual member $19, List price $32, Institutional member $26 ISBN 0-8218-8084-5 To order, please specify MEM0/103/492N NTSC format on 112" VHS videotape; approx. 60 minutes, Apri11993 Individual member $34.95, List price $54.95, Institutional member $44.95 To order, please specify VIOE0/87N Lattice Structures on Banach Spaces SOCIETE MATHEMATIQUE DE FRANCE, Nigel J. Kalton ASTERISQUE Volume 103, Number .493 Lattice Structures on Banach Spaces The general problem addressed Nige!J.Kalton in this work is to characterize the possible Banach lattice structures that a separable Banach space may have. The Seminaire Bourbaki, basic questions of uniqueness of lattice Volume 1991/1992 structure for function spaces have been Number206 studied before, but here the approach uses Comme les precedents volumes random measure representations for operators in a new way to obtain de ce Serninaire, celui-ci contient more powerful conclusions. A typical result is the following: If X is a quinze exposes de synthese sur des rearrangement-invariant space on [0, 1] not equal to Lz, and if Y is an sujets d'actualite: quatre exposes de order-continuous Banach lattice which has a complemented subspace geometrie algebrique, deux de geometrie isomorphic as a Banach space to X, then Y has a complemented Riemannienne ou Kiihlerienne, trois sublattice which is isomorphic to X (with one of two possible lattice sur les systemes dynarniques, un de structures). New examples are also given of spaces with a unique lattice physique theorique, un d'equations aux structure. derivees partielles, deux d'analyse, un d'algebre, et un sur les fonction Contents hypergeometriques. On y trouve en particulier les resultats recents sur Introduction; Banach lattices and Kothe function spaces; Positive operators; les tores invariants en dynarnique harniltonienne et non harniltonienne, The basic construction; Lower estimates on P; Reduction to the case of an la solution du probleme de Siegel sur la linearisation d'une application atomic kernel; Complemented subspaces of Banach lattices; Strictly 2-concave holomorphe au voisinage d'un point fixe,l'etat des connaissance sur les and strictly 2-convex structures; Uniqueness of lattice structure; Isomorphic surfaces rninimales plongees dans ~ 3, sur les fonctions L des motifs, embeddings; References. les revetements des courbes algebriques en caracteristique positive, et !'analyse harmonique sur les fractals. Classification: 46B30, 46E30; 46E05 1991 Mathematics Subject Titles in this series are published by the Societe Mathematique de ISBN 0-8218-2557-7, LC 93-466, ISSN 0065-9266 92 pages (softcover), May 1993 France and distributed by the AMS in the United States, Canada, and Individual member $17, List price $29, Institutional member $23 Mexico. Orders from other countries should be sent to the SMF, Maison To order, please specify MEM0/103/493N de la SMF, Case 916-Lurniny, F-13 288 Marseille Cedex 9, France, or to OFFILIB, 48 rue Gay-Lussac, 75240 Paris Cedex 05, France. Contents VIDEOTAPES Novembre 1991: J. Bellisard, Le papil/on de Hofstadter [d' apres B. Helffer et J. Sjostrandj; P. Cartier, Demonstration "automatique" d'identites et fonctions hypergeometriques [d'apres D. Zeilberger]; E. Ghys, Dynamique des jlots unipotents sur les espaces homo genes; N. Hitchin, Hyperkiihler Interview with manifolds; J.-P. Serre, Rev€tements de courbes algebriques; Fevrier 1992: D. Bertrand, Groupes algebriques et equations dijferentielles lineaires; J.-M. I. M. Gelfand Fontaine, Valeurs speciales desfonctions L des motifs; J.-L. Loday, Excision 1. M. Gelfand en K-theorie algebrique [d'apres A. Sus/in et M. Wodzicki]; R. Perez-Marco, In this one-hour interview, I. M. Solution complete au probleme de Siegel de linearisation d' une application Gelfand, one of the major mathematicians holomorphe au voisinage d' un point fixe [d' apres J.-C. Yoccoz]; J.-C. Yoccoz, of the century, discusses his mathematics, Travaux de Herman sur les tores invariants; Juin 1992: M. Barlow, Harmonic his inspirations, and his major analysis on fractal spaces; H. Carayol, Varietes de Drinfeld compactes, achievements. He also touches on his d' apres Laumon, Rapoport et Stuhler; P. Gerard, Resultats recents sur les work in biology and education, two areas fluides parfaits incompressibles bidimensionnels [d' apres J.-Y. Chemin et J.-M. in which he has had an important impact. Delort]; L. Pastur, Eigenvalue distribution of random operators and matrices; The interview was held during the Joint H. Rosenberg, Some recent developments in the theory ofproperly embedded Mathematics Meetings in Baltimore in January 1992, not long after minimal surfaces in R3 • Gelfand left the former Soviet Union to take a position at Rutgers 1991 Mathematics Subject Classification: 11, 14, 19, 32, 33, 35, 43, 53, 58, 76, University. Providing a personal look at this great mathematician, the 81 interview will have particular appeal for students, researchers, and ISSN 0303-1179 historians in mathematics and science. In addition, because Gelfand 477 (softcover), 1993 avoids discussing technical aspects of his work and focuses on what Individual AMS or SMF member $59, List price $84, To order, please specify AST/206N

MAY/JUNE 1993, VOLUME 40, NUMBER 5 521 -&iilihEEHta 2£L I JL . lLLbit i liJ New Publications Offered by the AMS

Methodes I. M. Sigal. Ulhmann considers the inverse problem for a given boundary and for a given scattering at a fixed energy. Semi-Ciassiques, Titles in this series are published by the Societe Mathematique de Volume 1 France and distributed by the AMS in the United States, Canada, and Number207 Mexico. Orders from other countries should be sent to the SMF, Maison de la SMF, Case 916-Luminy, F-13 288 Marseille Cedex 9, France, or This volume contains the proceedings to OFFILIB, 48 rue Gay-Lussac, 75240 Paris Cedex 05, France. of the Summer School on Semi-Classical Methods, held in Nantes in June 1991. Contents The School focused on courses by four Resumes des exposes; V. Ivrii, Semiclassical spectral asymptotics; M. Shubin, experts: V. I vrii (semi -classical spectral Spectral theory of elliptic operators on non-compact manifolds; A. Soffer, On asymptotics), M. Shubin (spectral theory the main body problem in quantum mechanics; G. Ulhmann, Inverse boundary on noncompact varieties), A. Soffer value problems and applications. (N-body problems), and G. Ulhmann (inverse problems). Each of the courses presents the most recent results in the subject. Ivrii describes his 1991 Mathematics Subject Classification: 35, 58, 81 powerful method for obtaining spectral asymptotics. Shubin discusses ISSN 0303-1179 the connections between the geometry of noncompact varieties and the 211 (softcover), 1993 spectrum of elliptic operators. Soffer presents a proof of the asymptotic Individual AMS or SMF member $22, List price $31, completeness for the N -body problem, obtained in collaboration with To order, please specify AST/207N

Applied Integral Transforms M. Ya. Antimirov, A. A. Kolyshkin, and Remi Vaillancourt Volume 2

This book does what few books on integral transforms do: it constructs the kernels of the integral transforms by solving the generalized Sturm-Liouville problems associated with the partial differential equations at hand. In the first part of the book, the authors construct the kernels and then use them to solve elementary problems of mathematical physics. This section, which proceeds mainly by examples and includes exercises, requires little mathematical background and provides an introduction to the subject of integral transforms. In the second part of the book, the method of integral transforms is used to solve modem applied problems in convective stability, temperature fields in oil strata, and eddy current testing. The choice of topics reflects the authors' research experience and involvement in industrial applications. Because of the applications it discusses, the book will interest engineers (especially petroleum engineers) and physicists. The CRM Monograph Series is jointly published by the American Mathematical Society and the Centre de Recherches Mathematiques. 1991 Mathematics Subject Classification: 35; 76, 80, 78, 44 ISBN 0-8218-6998-1, 265 pages (hardcover), February 1993 Individual member $40, List price $66, Institutional member $53 To order, please specify CRMM/2NA

522 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY AMS Reports and Communications

Recent Appointments Rothschild ( 1994 ), and Frank W. Warner Artin will remain on the Council in the III (1993), chair. capacity of Ex-President. Birman and Committee members' terms of office Idun Reiten (AMS), Mary Ellen Jaffe will remain on the Council by on standing committees expire on Rudin (AMS), and William Yslas Velez virtue of having been elected to four­ January 31 following the year given (AMS) have been appointed by Pres­ year terms on the Executive Committee, in parentheses following their names, ident Ronald L. Graham to the AMS­ and Taylor has been appointed Associate unless otherwise specified. SMM Joint Program Committee. Robert Treasurer to replace Steve Armentrout. M. Fossum (ex officio) will serve as (Newly-elected members of the Council Upon recommendation of the Edito­ coordinator. Continuing members of the were announced in the January 1993 rial Boards Committee, the Council has committee are Jorge Andres Ize Larnache issue of the Notices, p. 68.) elected William Fulton (1995) to the (SMM), Jose Carlos Gomez Larraiiaga The minutes of the September 1992 Journal of the AMS Editorial Commit­ (SMM), and Luis Gorostiza Ortega Council were approved with corrections tee. Continuing members of the com­ (SMM). that were noted by the Secretary. mittee are H. Blaine Lawson, Jr. (1994), The Council agreed to co-sponsor Andrew M. Odlyzko ( 1994), Wilfried the Second World Congress on Neural The Council Meeting Schmid (1993), chair, and Elias M. Stein Networks to be held in Portland, Ore­ in San Antonio (1995). gon during the period 11-15 July 1993 The Council met at 2:00 p.m. on Tues­ been and the Second International Congress Lawrence A. Shepp (1994) has Antonio, day, 12 January 1993, in San on Ordinal Data Analysis to be held appointed by President Ronald L. Gra­ mem­ Texas. At one time thirty-two in Amherst, Massachusetts, during the ham to the Eastern Section Program President Artin bers were in attendance. period 15-17 October 1993. Committee. Continuing members of the presided. Les­ Action on the report of the Special committee are Roy L. Adler (1993), The President called the meeting to Committee on Prizes was deferred by ley M. Sibner (ex officio), Birgit Speh order at about 2:05 p.m. He introduced request of the President and the Secre­ (1994), and Gregg J. Zuckerman (1993), the members of the Council, requested tary. chair. and received permission to grant privi­ A report from the Special Commit­ Richard A. Askey, Paul T. Bate­ leges of the floor to members-elect of the tee on Meetings is on file in the AMS man, Bettye Anne Case, Robert J. Dav­ Council, requested and received consent Committee Report Book for 1992, Re­ erman, Everett Pitcher, and Janice B. that the Secretary should extend thanks This committee's Walker have been appointed to a Special to retiring members of the Council, and port No. 921109-01. was returned to the JOOth Meeting Celebration Committee announced several modifications to the recommendation by President Ronald L. Graham. Profes­ agenda, including the deferral of an Special Committee on Meetings by a sor Case will serve as chair. item to the April 1993 meeting, and the motion that was seconded and pass,ed. Cathleen S. Morawetz (1995) has change of several items from the consent The Council considered adopting been appointed to the Committee on agenda to the action agenda. procedures for the Committee on Profes­ Science Policy by President Ronald It was announced that President sional Ethics (COPE) subject to review L. Graham. Continuing members of Michael Artin; Vice-President Lenore by Society counsel. the committee are Michael Artin (ex Blum; Associate Treasurer Steve Ar­ The Council established a standing officio), James A. Donaldson (1993), mentrout; Associate Secretary Joseph committee called the Committee on In­ Richard Ewing (1995), Eric M. Fried­ A. Cima; Associate Secretary W. Wistar ternational Affairs with a charge that is lander (1994), Ramesh A. Gangolli (ex Comfort; Executive Committee Member on file in the Office of the Secretary. It officio), Ronald L. Graham (ex officio), Hugo Rossi; Members-at-Large Sheldon also approved, in principle, the objec­ Rhonda J. Hughes (1993), William H. Axler, Joan Birman, Charles Herbert tives and strategies for this committee. Jaco (ex officio), Raymond L. John­ Clemens, Carl Pomerance, and Shing­ The Council agreed that the Society son (1994), Linda Keen (1993), Donald Tung Yau; and Mathematical Reviews will invite, on a quadrennial basis, the L. Kreider (ex officio), William James Editorial Committee Chair B. A. Taylor Committee to Select the Winner of the Lewis (1994), John W. Morgan (1995), would retire from their current positions Blumenthal Prize to award its prize at an Melvyn Nathanson (1995), Linda Preiss at the end of January 1993. However, Annual Meeting of the Society and will

MAY/JUNE 1993, VOLUME 40, NUMBER 5 523 AMS Reports and Communications invite the grantee to deliver an address ments to postdoctoral positions between the NC and the Coun­ to the meeting of the Society. per year with minimum two-year cil, there shall be an agenda item The Council approved the following terms; for discussion of NC plans during resolution: executive session of the Winter 2. That new funds should be sought meeting provided this is requested the American Math­ The Council of for postdoctorals so as not to re­ either by the Chair of the NC or congratulates Mar­ ematical Society duce the already limited support by the President, or a representa­ tin Gardner on the occasion of the available for established research tive of the President. The NC chair celebration of his many years of mathematicians; shall be invited to attend for this writing for the science community. item, expenses being borne by the Its members note with great ap­ 3. That this be a multiagency, AMS. preciation the profound influence multiprogram effort with differ­ 3. The NC chair or designated substi­ he has had on the many thou­ ing sources of support appropriate tute shall attend Council in execu­ sands of budding and practicing to the different program models; tive session at the Spring meeting mathematicians and scientists who and for the discussion of the NC report, have enjoyed his Scientific Ameri­ with expenses borne by the AMS. can columns and his many books. 4. That expansion of postdoc­ 4. The Secretary shall keep the NC They note that his unique ability toral opportunities into new ar­ informed of any nominations by to translate complex mathematical eas should be gradual and should petition which appear likely to re­ concepts and results to ordinary be preceded by pilot projects de­ ceive the prescribed number of language with extraordinary clar­ signed to assess the need for and signatures. ity, enthusiasm, and humor has value of the new models. 5. The Secretary shall inform candi­ helped in fostering a better un­ dates for any office (including NC) derstanding by the public of what A directive to the CSP was moved of the duties and conditions of the mathematics is and what mathe­ and seconded. After some discussion and office. maticians do. some amendments, the Council passed 6. The briefing of the NC shall in­ the following: the description of Council The report of the Tellers for the 1992 clude policies on nomination. election was approved. The Council directs the CSP to 7. The chair of the Nominating Com­ While meeting in executive session, prepare a satisfactory procedure mittee shall be elected by the NC the Council approved the appointment of for determining sizes of National from among its second-year mem­ Andy Roy Magid as Associate Secretary Science Foundation (NSF) grants bers. for the Central Section and Lance Small and to report this procedure to the A Special Committee considered as Associate Secretary for the Western Council, and the Council, follow­ procedures for the Committee on Pro­ Section, each for terms of two years ing approval, propose this proce­ fessional Ethics and presented them to beginning on 01 February 1994. dure to NSF. the Council. The Council adopted them Also while meeting in executive The Council received routine reports subject to review by Society counsel. session, the Council approved the rec­ from several committees. These reports The procedures are as follows: ommendations of the Editorial Boards are on file in the Office of the Secretary Committee and appointed members to and may be obtained from the Secretary Procedures for the Committee on Pro­ several editorial committees as follows: by request. fessional Ethics (COPE) The Council appointed Gregory L. The report of the Special Committee Historically, the job of COPE was to Cherlin to the Transactions and Memoirs on Nominating Procedures was submit­ resolve conflicts between individuals Editorial Committee and William Fulton ted and considered by the Council. After (and/or organizations such as universi­ to the Journal of the American Mathe­ slightly amending one point, the Coun­ ties and journals). The following guide­ matical Society Editorial Committee. cil adopted the procedures that are listed lines are intended for dealing with such The Committee on Science Policy below. It should not be thought, how­ (CSP) filed a report, and Frank Warner, problems. that COPE is limited to conflict chair of the CSP, gave an oral report. ever, the Nominating Com­ or that the AMS has no inter­ A Discussion Paper on the Postdoctoral Procedures for resolution mittee (NC) est in professional ethics beyond peace­ Program was considered by the Council. and scheduling. for the keeping operations. We are in a time It then adopted the following recom­ 1. Procedures nomination process shall remain when the concepts of ethical behavior mendations of the CSP: as at present. The NC should make are widening and professional societies 1. That the AMS advocate a grad­ some start on its deliberations in are expected to take note of these new ual expansion of postdoctoral op­ December, but will not meet face­ responsibilities. Issues of the proper re­ portunities in mathematics with an to-face until the Winter meeting. lation of mathematicians and the AMS eventual goal of 200 new appoint- 2. In order to ensure communication to society may be expected to loom ever

524 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY AMS Reports and Communications larger. For this reason COPE should shall report on the solution of the be used as sole or primary material feel free, indeed obliged, to consider issue to COPE or recommend that in rendering any decision. from time to time ethical matters that the case be investigated formally 5. After completing what it deter­ go beyond interpersonal conflict and to by COPE. mines to be a full investigation, make appropriate recommendations to 3. In case a formal investigation is and after all parties have been the AMS Council. Such considerations called for the chair, on the advice asked to comment on the accuracy may be initiated by others or by COPE of the committee and after consul­ and completeness of the record, itself. COPE, however, is not empow­ tation with the President of the So­ the committee shall present a writ­ ered to speak publicly in the name of the ciety, shall appoint a three-member ten report to COPE; such report AMS. special committee for the case. shall be presented within the allot­ COPE shall be a committee of six Any party to the case may sub­ ted time. In case parties disagree members representing a broad spectrum mit to the chair of COPE a list of on statements of facts, that, too, of membership of the Society. They shall Society members whom they wish shall constitute a part of the re­ be appointed by a vote of the Council not to serve on the special commit­ port. In case it is not possible to with the advice of the Committee on tee. Any party may request certain reach agreement about the com­ Committees, and have three-year, stag­ peer representation on the spe­ pleteness of the record and the gered terms. The chair of COPE shall cial committee, e.g., a nontenured committee feels a stalemate has be elected by the committee. The com­ member if a party is also non­ been reached, the committee may mittee normally is to conduct business tenured. The chair of COPE shall issue a report anyway, provided via conference calls, mail, and e-mail. take these suggestions under ad­ the disagreement is clearly stated COPE, however, is encouraged to meet visement. The special committee in the report. at least once each year (normally at the shall generally be knowledgable 6. This report shall consist of a copy annual meeting) to review its activities of the area of conflict. A time limit of the complete record and the spe­ or conduct ongoing business. for the special investigation will cial committee's determination of Outlined below are recommended be agreed to by all parties, with belief in case of conflicting ma­ procedures for resolution of conflict. COPE making the final determina­ terial or claims. The special com­ The committee may deviate from these tion of a reasonable time limit in mittee shall recommend to COPE procedures as cases warrant and par­ case of nonagreement of the prin­ action to reprimand any party or ties agree, but COPE is encouraged to cipal parties. Any party may ask parties or steps to correct any ac­ follow standardized procedures in the for an extension of the time limit tion or inaction. All parties to the interest of perceived fairness. Indeed, from COPE as the case proceeds. dispute shall be given copies of the it is of great importance to the AMS 4. The special committee shall gather special committee report. COPE that COPE act impartially, both in fact facts and statements from all in­ and any special committee COPE and in appearance. Modification of these terested parties. Except in the rare establishes to investigate any case procedures is expected to occur as expe­ cases noted below, the committee shall have access to AMS legal rience is gained, and the Council shall shall keep minutes of all conver­ counsel for advice. AMS legal staff entertain such suggested modifications. sations involving the parties to the shall review the final report of any 1. COPE receives an inquiry from a case, and any person interviewed special committee and any final member of the Society concerning by the committee shall be fully determination and recommenda­ professional ethics. The chair of apprised that parties to the conflict tion of any case that goes through COPE makes an informal inquiry, shall be aware of their identity and a special committee procedure. taking no more than several weeks. statements. The special commit­ 7. COPE shall take the special com­ The committee then determines if tee's discussions and deliberations mittee's recommendations under the case should be handled by an as well as discussions with the advisement and make a recom­ ombudsperson or should proceed chair of COPE need not be re­ mendation to the AMS Council directly to an investigation. ported. All paper and electronic within a reasonable time. COPE 2. In case reconciliation seems pos­ correspondence shall be kept. Af­ shall take into consideration the sible the chair selects a member ter any discussions or interview precedents for any recommenda­ of the committee to act as om­ sessions involving parties to the tions. COPE may modify the rec­ budsperson for that case. The chair case, all parties shall have the op­ ommended action or actions of and the ombudsperson shall agree portunity to see and comment on the special committee; however, on a time limit for this procedure the recorded minutes. In rare cases if COPE intends to modify the (this will depend on the parties the committee might decide it nec­ recommendations of the special involved, time of year, and other essary to obtain confidential ma­ committee, it shall confer with the circumstances). At the end of this terial or assure the confidentiality special committee on the final rec­ period, or any mutually agreed of a source. In these circumstances ommendations. upon extension, the ombudsperson the material and/or source shall not 8. COPE shall issue a summary re-

MAY/JUNE 1993, VOLUME 40, NUMBER 5 525 AMS Reports and Communications

port on any completed case to the The main recommendation was to • to coordinate with other profes­ Council. This report may include establish standing policy committees in sional organizations. the complete special committee re­ five areas-science policy, education, port in an unusually difficult case. publication, the profession, and meet­ CSP and COE already have charges, If no Council meeting is scheduled ings and conferences-with the cur­ and these responsibilities, similar to be held within two months of rently existing Committee on Science to what they have now, should COPE's report, the Secretary of Policy and Committee on Education as be added to their charges. Each the Society shall circulate the re­ two of the five. Other recommendations policy committee shall write its port to the Council straightaway concerned the charges to the committees, own specific charge, which shall with a view to possible action by the membership of the committees, and be submitted to the Council for mail. The Council shall act on the several other committee housekeeping approval. recommendation of COPE as it recommendations. deems appropriate. In any event After some amendments the Council rapid action by the Council is es­ adopted the following: Amended Recommendation 3: sential. The membership of each policy 9. Appeal of any case shall be made Recommendation 1: Policy com­ committee shall be: only to the Council. Notice of mittees shall be established in intent to appeal shall be made the areas of science policy, ed­ • three Council members, chosen within three months of the Coun­ ucation, publication, meetings and from among the Vice-Presidents cil's action. The appeal shall be conferences, and the profession. and Members-at-Large of the made only with cause and shall Each policy committee will be ex­ Council; be made in writing to the Sec­ pected to provide major direction retary of the Society within six for Society activities in its area. • a member of the Board of months of the Council's action. No The Committee on Science Policy Trustees; case for which a special commit­ and the Committee on Education tee was activated by COPE and (COE) shall assume the role of • the President of the Society; a final determination was made shall be reheard by COPE unless policy committees in their areas, • the Executive Director of the COPE or the Council determines while new committees shall be Society, who shall be a voting that substantial new material has created to play this role in each of surfaced. Mter possible appeal, it the other three areas. member of the Committee on Sci­ is ultimately the Council that must ence Policy (CSP) and Committee make the final determination on Recommendation 2: The charge on Education (COE) and a non­ any cases brought to COPE. The to the policy committees shall in­ voting member of the Committees Council shall act on the appeal at clude: on Publication, The Profession, its next meeting after receipt of the and Meetings and Conferences; appeal. • to provide advice to the leader­ 10. There is no particular binding ef­ ship of the Society and make rec­ • the Secretary of the Society, fect of a Council recommendation ommendations as to Society pol­ who shall be a voting member of the Committee on The Profession on any party, insofar as the AMS icy, shall not be expected to proceed and the Committee on Meetings and Conferences and a nonvot­ with legal action. • to be responsible for taking a ing member of the Committees COPE and its special committees shall long-range view in their areas, be indemnified under Article XIII of the on Science Policy, Education, and AMS Bylaws. Publication; • to conduct an annual high-level Responding to a question as to when review of activities and structures Vice-Presidents of the Society "offi­ • four to six at-large members. within their areas and evaluate cially" represent the Society in the ab­ sence of the President, President Artin progress toward Society goals, • In addition, the President-Elect/ appointed a special committee that re­ Ex-President and the Council rep­ ported to the ECBT and to this Council. • to report regularly to the mem­ resentative to the JPBM shall serve The Council referred the question to the bership, both in writing and by on CSP, there shall be an MAA ap­ LRPC and asked it to report to the May presentations at meetings, pointee on COE, and the chair of 1993 ECBT. CSP shall serve on COE, and vice­ A Special Subcommittee of the Com­ • to maintain communication with versa. (These all reflect current mittee on Committees on the Committee the membership and awareness of practice.) Also a member of the Structure reported to the Council. their views, and Editorial Boards Committee shall

526 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY AMS Reports and Communications serve on the Publication policy rial Committee for Books Not in Book for 1993, Report No. 930101-06. committee. Series" shall be created. In addition Montgomery provided the Council with an oral report. With the exceptions noted above, Recommendation 8: When of­ The special committee requested that these shall all be regular voting fered committee appointments or its recommendation members of the respective pol­ nominated for election to the Coun­ That the current AMS copyright icy committees and shall all serve cil, volunteers shall be adequately agreement be amended by adding three-year terms, which shall be informed of the commitment in­ the sentence staggered. The chair of each pol­ volved in their prospective service. icy committee will be appointed "The author has pernuss10n to to a one-year term as chair with Recommendation 9: The Coun­ make copies of the article, pro­ the possibility of extension, ex­ cil should rely more on its com­ vided it is noncommercial copying tending his/her term on the policy mittees. It should routinely use for education or research purposes committee if necessary. its committees to study compli­ only". cated issues facing the Society, and An appropriate executive-level committees should make detailed For the time being, however, we staff member (who may vote in the recommendations to the Council feel that a conservative approach absence of the Executive Director accompanied by analysis of such would be best, and that includes when the Executive Director has issues. A committee representative keeping copyrights on what we voting privileges) shall attend the should be present at Council meet­ publish. meetings of each policy committee ings when it is anticipated that this as well as provide administrative will significantly assist the Council be placed on the agenda for the April and staff support. The Meetings in its deliberations. 1993 Council meeting. and Conferences policy commit­ Council members Baouendi, Fos­ tee shall invite the Associate Sec­ Recommendation 10: A mecha­ sum, Jaffe, Lieb, and Yau submitted retaries to attend its meetings. nism shall be established to review additional resolutions for consideration regularly the committees of the So­ by the Council. These resolutions failed. The membership of CSP and COE ciety and recommend discharge or The Joint Meetings were scheduled shall gradually be changed to con­ merger of committees when appro­ to be held in Denver, Colorado, in Jan­ form with the above. priate. (Perhaps this might be done uary 1995. Recently voters in Colorado by the Secretary and the Commit­ approved an amendment to the state Recommendation 4: The Presi­ tee on Committees.) constitution that prohibits the inclusion dent shall appoint the members of sexual orientation in state and mu­ of the policy committees, except Recommendation 11: A study of nicipal antidiscrimination clauses. It had for the Board member, who shall relevant organizational issues, in­ been proposed by several members of be appointed by the Chair of the cluding questions related to the the Council that the Society should not Board of Trustees. composition of the Council, shall meet in Colorado as scheduled. be undertaken. The Council dissolved into the Com­ Recommendation 5: We recom­ mittee of the Whole, met together with mend to the Board of Trustees that Recommendation 12: A general a similarly consisted committee of the the President and Ex-President/ review of the policy committee MAA Board of Governors, and reported President-Elect be ex offiCio mem­ structure and operations shall be a resolution for consideration by the bers of the Long-Range Plan-. undertaken in three to four years. Council. The resolution ning Committee (LRPC) and that the LRPC consider whether it The September 1992 Council passed The Council of the AMS believes wishes to have the policy com­ a resolution on publication policy. Por­ that the actions taken by the ma­ mittee chairs as members or invite tions of the resolution concerned copy­ jority of those voting in Colorado them to attend (relevant) meetings right policy. The President appointed a in November 1992 with respect of the LRPC. This recommenda­ special committee of the ECBT consist­ to discrimination against homo­ tion passed. ing of Council member Axler, Trustee sexuals were wrong. The Council Montgomery (chair), Associate Execu­ of the AMS recommends that the Recommendation 6: We recom­ tive Director Rankin, and Director of Joint Meetings not take place in mend that the Council move to Marketing Soldevilla to report on the Colorado while language similar abolish the Committee to Monitor financial and legal implications that im­ to that in Amendment 2 of the Problems in Communication. plementation of this policy would have. November 1992 General Election The report of this committee can be passed by the voters of Colorado Recommendation 7: An "Edito- found in the AMS Committee Report remains in the Colorado constitu-

MAY/JUNE 1993, VOLUME 40, NUMBER 5 527 AMS Reports and Communications

tion. One of the reasons for this the program will be contingent on ing of a course should a fortiori resolution is that the AMS has the the ED's verification that the pro­ be considered capable of creat­ duty to protect all participants at gram is operating in accordance ing appropriate examinations and their meetings from possible dis­ with AMS policy guidelines. grading systems. crimination. And it passed the The Council of the AMS delegates be it resolved that: Resolution the responsibility for final action The American Mathematical So­ to the AMS Board of Trustees and The Council of the American Math­ ciety considers it a principle of the MAA Executive and Finance ematical Society expresses its con­ academic freedom that all indi­ Committee, who will instruct the demnation of the anti-Semitic writ­ viduals teaching university mathe­ Joint Meetings Committee to make ings of I. R. Shafarevich as ex­ matics courses shall have the right every effort to find a site for the pressed in Russophobia. Dr. Sha­ to prepare their own examinations January 1995 meeting in a state farevich has used his highly re­ and to set their own grading scales. other than Colorado. spected position as an eminent mathematician to give special This resolution had been referred The Council of the AMS requests weight to his words of hatred, by the January 1992 Business Meeting that the sentiments of this res­ which are contrary to fundamental to the Committee on Education. The olution be communicated to the standards of human decency and Committee on Education in turn reported Governor of Colorado. to the spirit of mathematics and as follows: science. was approved by the Council. The Committee on Education dis­ The Society administers a fund to A motion for the Business Meeting cussed [the resolution] at its meet­ aid mathematicians in the former Soviet proposing a Resolution on Departmental ing of April 5, 1992. The Com­ Union (fSU) called the Former Soviet Examinations, proposed by Robert 0. mittee feels that there are cogent Union Aid Fund. Stanton, that had been submitted to the arguments on both sides of the After some discussion the Council Committee on the Agenda for Business "uniform examination" issue and passed the Meetings for the January 1992 Business that both sets of arguments are Meeting was presented at that meeting. consistent with the principles of Resolution The resolution reads as follows: academic freedom. Therefore, it would be unwise for the American The American Mathematical So­ A Resolution on Departmental Exami­ Mathematical Society to adopt the ciety adheres strongly to the prin­ nations proposed resolution. ciple that grants awarded to indi­ viduals under the AMS fSU Aid Whereas: Accordingly, the Committee on Fund will be made without dis­ Education recommends that you crimination as regards race, reli­ ( 1) Departmental examinations can vote AGAINST this motion. gion, ethnic origins, gender, sexual discourageinnovativeteachingtech­ preference, political persuasion, or niques and impede advances in The Council agreed to place this age. The Society will make every education. resolution on the agenda for the Business possible effort to become informed Meeting of the Society that was to be as to instances when such consid­ (2) Students for whom English is held on 15 January 1993 and to endorse erations could arise and to insure a second language are frequently the Society's Committee on Education that they do not influence the appli­ put at an unfair disadvantage be­ position. cations procedures or peer review cause of unfamiliar phrasing of Professor Saunders Mac Lane pro­ or the distribution of grant funds. the questions on a departmental posed the following motion for consid­ examination. eration at the same Business Meeting in It also passed the San Antonio: (3) Because of different emphases, Resolution levels of preparation, styles of in­ Resolved: The Society will establish a mech­ struction, etc., departmental exam­ That the AMS Strategic and Oper­ anism to monitor the way aid ad­ inations do not fulfill the goal of a ating Plan be withdrawn for recon­ ministered by the AMS to for­ uniform measure of ability for dif­ sideration; in particular, for inclu­ merly Soviet Union mathemati­ ferent sections of the same course. sion in the plan of major attention cians (fSUm)is being used. Every to the support and encouragement six months the Executive Director (4) Any individual who is regarded of mathematical research. (ED) will report on the aid pro­ as sufficiently competent to be en­ vided to fSUm. Continuation of trusted with the day-to-day teach- This resolution was received within

528 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY AMS Reports and Communications the stated deadline for receipt of agenda debate). Professor Mac Lane wrote a for further consideration and referral to items for the Business Meeting and position paper that was attached to the a future Business Meeting. has been considered by the Committee agenda. The Council adjourned at about on the Agenda for Business Meetings. The Council agreed to place dis­ 11:30p.m. This Committee recommended a for­ cussion of the Mac Lane resolution on Respectfully submitted, mat for debate on the issue that was to the agenda for the January 1993 Busi­ be suggested to the Business Meeting. ness Meeting and recommended that the Robert M. Fossum It also recommended that the resolu­ Business Meeting refer the resolution Secretary tion be referred to a committee (after the to the Long-Range Planning Committee Urbana, illinois

Miscellaneous

Personals Deaths 1993, at the age of 82. She was a member Charles M. Chambers, president of Frank V. Chorley, of Cheltenham Glos, of the Society for 57 years. the American Foundation for Biologi­ England, died on January 9, 1993, at the Thomas H. Southard, a Profes­ cal Sciences, will become president of age of 73. He was a member of the sor Emeritus from Sequim, Washington, Lawrence Technological University July Society for 1 year. died on January 14, 1993, at the age of 1, 1993. Theodore M. Edison, of West Or­ 81. He was a member of the Society for Alfred W. Hales, of the Univer­ ange, New Jersey, died on November 52 years. sity of California at Los Angeles, has 25, 1992, at the age of 94. He was a Gerard van der Maas, of Nepean, been appointed Director ofiDNs Center member of the Society for 64 years. Ontario, died on January 24, 1993, at for Communications Research in San James Wallace Givens, of El Cer­ the age of 76. He was a member of the Diego, California. . rita, California, died on March 5, 1993, Society for 32 years . T. Benny Rushing, of the University at the age of 82. He was a member of M. A. Zorn, Professor Emeritus of of Utah, was appointed Dean of the the Society for 56 years. Indiana University, died on March 9, College of Science at that institution. Ruth Stauffer McKee, of New­ 1993, at the age of 86. He was a member town, Pennsylvania, died on January 9, of the Society for 58 years.

MAY/JUNE 1993, VOLUME 40, NUMBER 5 529 Visiting Mathematicians

The list of visiting mathematicians includes both foreign mathematicians visiting in the United States and Canada, and Americans visiting abroad. Note that there are two separate lists.

American Mathematicians Visiting Abroad Name and Home Countrv Host Institution Field of Special Interest Period of Visit Pierce, Donald A. (U.S.A.) Radiation Effects Research Foundation Cancer Research 10/92 - 10/94 (RERF), Japan Protter, Philip (U.S.A.) University of Paris I, France Probability 6/93 INRIA, Sophia Antipolis, France Probability 7/93 Stephenson, John (Canada) University of Western Australia, Numerical Analysis 10/93- 3/94 Australia University of Hull, England Numerical Analysis 4/94- 5/94 Wilkerson, Clarence (U.S.A.) Mittag-Leffler Institute, Sweden Algebraic Topology 10/93 - 11193

Visiting Foreign Mathematicians Bian, Fuping (China) Florida State University Mathematical Modeling 1/93- 1/94 Gu, Pei (China) Purdue University Lie Groups 8/93- 7/94 Gulisashvilli, Archil (Republic Boston University Analysis, Signal Processing, and 1/93- 6/93 of Georgia) Wavelets Hajnal, Andras (Hungary) University of Calgary Set Theory, Graph Theory, and Logic 8/93- 8/94 Huang, I.-C. (Taiwan) Purdue University Algebraic Geometry 5/93- 7/93 lsogawa, Yoshiko (Japan) Iowa State University Measurement Errors 9/93- 8/94 Kawamura, Kazuhiro (Japan) University of Saskatchewan Topology 8/92- 8/94 Kim, Jung 11 (Korea) Oregon State University Linear Models 2193- 2194 Kwon, Kil (Korea) Utah State University Function Analysis 9/92- 6/93 Langlais, Michel (France) Purdue University Partial Differential Equations 9/93 Lefmann, Hanno (Germany) University of Idaho Combinatorics 1/93- 6/93 Luczak, Tomasz (Poland) Emory University Probability, Discrete Mathematics 1/94- 5/94 Pintz, Janos (Hungary) Brigham Young University Number Theory 1/94- 4/94 Rama-Murthy, Kavi (India) University of Tennessee Probability 8/93- 7/94 Rips, Elyahu (Israel) Columbia University Group Theory 1/94- 5/94 Rucinski, Andrzej (Poland) Emory University Probability Theory and Discrete 9/93- 12193 Mathematics Ryznar, Michal (Poland) Michigan State University Probability and Stochastic Processes 8/93- 5/94 Schwarz, Gunther (Germany) University of Calgary Boundary Value Problems in 8/92- 8/93 Mathematical Physics, Hodge Theory Skorokhod, Anatoli (Ukraine) Michigan State University Probability and Stochastic Processes 8/93- 12193 Surgailis, Donatas (Lithuania) Michigan State University Probability and Stochastic Processes 1/94- 5/94 Turbiner, Alexander (Russia) Case Western Reserve University Partial Differential Equations 5/93- 1/94 Umeda, Tomio (Japan) University of Alabama at Birmingham Mathematical Physics, Field Theory, 10/92- 8/93 ·and Dirac Operators Yu, Dahai (China) Purdue University Operator Theory 5/93- 4/94

530 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY New Members of the AMS

ORDINARY MEMBERS C Anders G Bjorn, Linkoping, Fuchang Cheng, Guangxi Teachers Elena De Oteyza, Univ Nacional Republic Mexico Karlen Aram Abgaryanb, Moscow, Sweden Univ, Guilin, People's Autonoma de Rep of Russia Pavel Petrovich Bocharov, P L of China Han Deguang, Qufu Normal Univ, Lvov, Rep Tinuoye M Adeniran, Moi Univ, People's Friendship Univ, Evgeney V Cheremnikh, People's Republic of China Eldoret, Kenya Moscow, Rep of Russia of Ukraine Jose Luis Diaz Gomez, Sonora, Andrei Aleksandrovich Agrachev, Alexander A Bondarenko, Univ Nickolai Sergeevich Chemikov, Mexico Steklov Institute of Mathematics, Gorodok, Minsk, Rep of Academy of Sciences of the Martha Dickinson, Olympia, WA Moscow, Rep of Russia Byelorussia Ukraine, Kiev, Rep of Ukraine Georgi Dobromirov Dimov, Sofia, Abdulla M Al-Jarrah, Yarrnouk Univ, Huseyin Bar, Erciyes Univ, Kayseri, Olga Sergeevna Chernikova, Bulgaria Irbid, Jordan Turkey Ukrainian Academy of Sciences, Er Sheng Ding, Beijing Normal Hugo R Alarcon, Pontificia Univ Natalia Borisovna, Chelyabinsk State Kiev, Rep of Ukraine Univ, People's Republic of Catolica, Santiago, Chile . Univ, Rep of Russia Arkadi Alexandrovich Chernyak, China Vaggelis I Alexopoulos, Athens, Szczepan Borkowski, Gliwice, Academy of Sciences of Belarus, Eid Hassan Doha, Jeddah, Saudi Greece Poland Minsk, Rep of Byelorussia Arabia Rosihan M Ali, Univ Sains 0 V Borodin, Russian Academy of Alexander Chigogidze, Winnipeg, Alexandru Donescu, Bucharest, Malaysia, Penang Sciences, Novosibirsk, Rep of Manitoba Canada Romania V!ktor Kirilov Andonov, Sofia, Russia Ivan Delchev Chipchakov, Bulgarian Charles F Doty, Ridley Park, PA Academy of Sciences, Sofia Bulgaria Abdelkader Boucherif, Georgia Alexander Nikolaevich Dranishnikov, Tengku Andri, Medan, Indonesia Institue of Technology, Atlanta Yeol Je Cho, Gyeongsang National Cornell Univ, Ithaca, NY Univ, Jinju, Korea Michael S Anoussis, Univ of the Andreas G Boudouvis, National Haibao Duan, Peking Univ, Beijing, Christie, Flinders Univ, Aegean, Samos, Greece Technical Univ of Athens, John R People's Republic of China Greece Adelaide, Australia Henryk Stanistaw Arodz, Jagellonian Vladimir N Dubinin, Russian Chong Suh Chun, Athabasca Univ, Univ, Krakow, Poland Luke F Bow, Jackson Heights, NY Academy of Sciences, Alberta Canada Carlos Arteaga, Univ Federal de Sao Mikhail Sh Braverman, Computer Vladivostok, Rep of Russia In-Jae Chung, Seoul, Korea Carlos, Brazil Center, Khabarovsk, Rep of Mohamed El Hatri, Ecole Superior Chupik, Houston, TX Evgenios P Avgerinos, Univ of the Russia Dean of Technology, Fes, Morocco Bremner, Arizona State Stuart Citrin, Woodmere, NY Aegean, Samos, Greece Andrew Mohamed Aly El-Sayed, Cairo Univ, Tempe Edward R Avila, Lancaster, CA Univ, Manuel Clementino, Univ of Giza, Egypt Davidovich Bronshtein, Coimbra, Portugal Thomas Yakovlevich Azizov, Michail Dieter P Eppel, GKSS Research Rep of Russia Voronezh, Rep of Russia Kazan, Simon S Clift, Waterloo, Ontario Center, Geestacht, Germany Frank Bullock, Univ of South Africa, Canada Jerzy K Baksalary, Tadeusz Svetlana Eremenko, Medford, MA Kotarbinski Pedagogical Univ, Pretoria Thomas M Conlon, Leesburg, VA Henryk Fast, Wayne State Univ, Gora, Poland Haitao Cai, Central South Univ of Cristian N Costinescu, Bucharest, Zielona Detroit, MI Katalin Balla, Hungarian Academy Technology, Hunan, People's Romania Miloslav Feistauer, Charles Univ, of Science, Budapest Republic of China Baa Tong Cui, Binzhou Normal Prague, Czechoslovakia Shirin R Bar-Sela, Houston, TX Sui Lin Cai, Zhejiang Univ, Univ, People's Republic of Olga J Fernandes, Poona, India George M Barnwell, Univ of Texas Harig:j:hou, People's Republic of China Federal do Rio at San Antonio China Hai-Yan Cui, Shanghai, People's Miguel Ferrero, Univ Grande, Porto Alegre, Brazil Charlton B Barreto, Fremont, CA Domingos M Cardoso, Univ of Republic of China Maher Wagdi Barsoum, San Diego, Aveiro, Portugal Ming Gen Cui, Harbin Institute of Benedito Tadeu V Freire, Natal, CA Stefan Chanas, Technical Univ, Technology, People's Republic Brazil Rana Barua, Indian Statistical Wroclaw, Poland of China Daniele Funaro, Brown Univ, Institute, Calcutta, India Hoi-Fung Chau, Univ of Illinois, Jerzy Czyz, Eastern Montana Providence, RI Ewa Bednarczuk, Polish Academy of Urbana College, Billings Andrei Gabrielov, Cornell Univ, Sciences, Warsaw Vladimir I Chebotarev, Computer Eugenii Georgievich D'yakonov, Ithaca, NY S Bhargava, Mysore, India Center, Khabarovsk, Rep of Moscow State Univ, Rep of Shi An Gao, South China Normal B V Rajararna Bhat, Indian Russia Russia Univ, Guangzhou, People's Statistical Institute, New Delhi Gong-ning Chen, Beijing Normal Luiz Fernando Da Rocha, Porto Republic of China Yuri Igorewich Biba, Turboservice Univ, People's Republic of Alegre, Brazil Samuel J Gardner ill, Omaha, NE Limited, Lodz, Poland China Alexandre Ivanovich Danilenko, V I Garkusha, Kiev State Univ, Rep Ayse Humeyra Bilge, Tubitak, Zhi-Min Chen, Tianjin Univ, Kharkov State Univ, Rep of of Ukraine Kocaeh, Turkey People's Republic of China Ukraine Tatiana Velkova Gateva-Ivanova, Tatiana Yurievna Bilgildeyeva, St Zhonghu Chen, Xingtan Univ, Stanislav N Danov, Shoumen, Bulgarian Academy of Sciences, Petersburg, Rep of Russia People's Republic of China Bulgaria Sofia

MAY/JUNE 1993, VOLUME 40, NUMBER 5 531 New Members of the AMS

Alexandre Mikhailovich Gavrilik, Vitaly Grigorevich ll'ichev, Alexei D Kiselev, Chemigov, Rep of Luminita Lemnete, Bucharest, Institute for Theoretical Physics, Rostov-on-Don, Rep of Russia Ukraine Romania Kiev, Rep of Ukraine A M Ilin, Russian Academy of Gemot D Kleiter, Univ of Salzburg, Tuck Sang Leong, Lumpur, Malaysia Xianguo Geng, Zhengzhou Univ, Sciences, Ekaterinburg, Rep of Austria Marianne H Lepp, Reading, MA People's Republic of China Russia Valery I Klyatskin, Institute of Mengru Li, Zhengzhou Univ, Victor Ivanovich Gerasimenko, Galimzlan G Islamov, Izhevsk, Rep Atmospheric Physics, Moscow, People's Republic of China Ukrainian Academy of Sciences, of Russia Rep of Russia Ronglu Li, Harbin Institute of Kiev, Rep of Ukraine Anatoli Fedorovich Ivanov, Univ of Friedrich Knop, Rutgers Univ, New Technology, People's Republic Ioannis I Gerontidis, Aristotle Univ Rhode Island, Kingston Brunswick, NJ of China of Thessaloniki, Greece Edna Wright James, Urbana, IL Ivan Kolar, Bmo, Czechoslovakia Shaokuan Li, China Textile Univ, Jose Machado Gil, Coimbra, Sun Young Jang, Univ of Ulsan, Victor Grigorievich Kolomiets, Shanghai, People's Republic of Portugal Korea Ukrainian Academy of Sciences, China Sergei T Glavatsky, Moscow, Rep of Renyi Jian, Guizhou Normal Univ, Kiev, Rep of Ukraine Wen Rang Li, Binzhou Teachers Russia Guiyang, People's Republic of Zygfryd Kominek, Silesian Univ, College, People's Republic of Valentin F Goranko, Univ of the China Katowice, Poland China North, Phuthaditjhaba, Republic Katie H Jiang, General Motors Valentin Dmitrievich Konakov, Xun-Jing Li, Fudan Univ, Shanghai, Central Economic & of South Africa Engineering & Management People's Republic of China Mathematical Institute, Moscow, Mikhail Gordin, St Petersburg, Rep Institute, Flint, MI Ivan K Lifanov, Air Force Rep of Russia of Russia Xing Jin, Academia Sinica, Beijing, Engineering Academy, Moscow, Nikolay Komeenko, Byelorussian Jaroslaw Gornicki, Pedagogical Univ People's Republic of China Rep of Russia Academy of Science, Minsk, of Rzeszow, Poland Christopher J Johnson, Boulder, CO Oleg Limarchenko, Academy of Rep of Byelorussia Gennandy Victorovich Gorr, Young Bae Jun, Gyeongsang Sciences, Kiev, Rep of Ukraine Ukrainian Academy of Sciences, National Univ, Chinju, Korea Ilya N Kostin, Steklov Institute of Mathematics, St Petersburg, Rep Yixun Lin, Zhengzhou Univ, Donetsk, Rep of Ukraine Sergey Igorevich Kabanikhin, People's Republic of China Arcadii Z Grinshpan, Univ of South Academy of Science, of Russia Shin-Ya Koyama, Princeton Univ, Yizhong Lin, Fujian Normal Univ, Florida, Tampa Novosibirsk, Rep of Russia People's Republic of China Brian Guckian, North Providence, Rl Ignacy Kaliszewski, Polish Academy NJ Jan Krajicek, Czechoslovak Zong Chi Lin, Fujian Normal Univ, Alexander E Gutman, Russian of Sciences, Warsaw People's Republic of China Academy of Sciences, Uno Kaljulaid, Tartu State Univ, Academy of Sciences, Prague Tetra Lindarto, Lumajang, Indonesia Novosibirsk, Rep of Russia Rep of Estonia Tadeusz Krasinski, Lodz Univ, Liquan Liu, Heilongjiang Univ, Nikolai Vasiljevich Gvosdovich, Sofia Kalpazidou, Aristotle Univ of Poland Harbin, People's Republic of Minsk Pedagogical Institute, Thessaloniki, Greece M Krastanov, Bulgarian Academy of China Rep of Byelorussia Gennadiy A Kalyabin, Samara, Rep Sciences, Sofia Rafail E Krichevskii, Institute of Shanzhen Lu, Beijing Normal Univ, William F Hahnert III, Louisville, of Russia Mathematics, Novosibirsk, Rep People's Republic of China KY Bao Sheng Kang, Nanjing of Russia Nassar H S Haidar, American Univ Aeronautical Institute, Jiangsu, Tao Lu, Academia Sinica, Chengdu, Balachandran Krishnan, Bharathiar People's Republic of China of Beirut, New York, NY People's Republic of China Univ, Tamil Nadu, India Yoshihiro Hamaya, Okayama Univ Li Shan Kang, Wuhan Univ, Tong Shan Lu, Ocean Univ of Mirko Krivanek, Charles Univ, of Science, Japan People's Republic of China Qingdao, People's Republic of Prague, Czechoslovakia China Jan Hamhalter, Technical Univ of Shin Won Kang, Hanyang Univ, Andrzej Krolak, Polish Academy of Prague, Czechoslovakia Seoul, Korea Jaroslav Lukes, MFF UK, Prague, Sciences, Warsaw Elaidi Hanebaly, Univ Mohammed V, Wan Kang, Seoul National Teachers Czechoslovakia Jan Antoni Kubarski, Technical Univ Rabat, Morocco College, Korea Wen Xiu Ma, Fudan Univ, of Lodz, Poland Shanghai, People's Republic of Johannes Hendrik Hattingh, Rand Janusz Leon Kaptur, Lublin, Poland A Kucera, Prague, Czechoslovakia Afrikaans Univ, Auckland Park, China Tryambak Mahadeorao Karade, NSK Rudolf Kulhavy, Czechoslovakia Republic of South Africa Society, Nagpur, India Zhong Qi Ma, Academia Sinica, Academy of Sciences, Prague Beijing, People's Republic of Sheng Wu He, East China Normal Habil I Karakas, Akdeniz Univ, Tofik Y Kuliyev, San Francisco, CA Univ, Shanghai, People's Antalya, Turkey China Janusz K Kupczuns, Atwater, OH Niloufer Mackey, Buffalo, NY Republic of China Nicholas G Karydas, Thessaloniki, Alexandr V Kuzminykh, Russian Xiao Liang He, Xian Jiaotong Univ, Greece Nicolas Macris, Rutgers Univ, New Academy of Sciences, Brunswick, NJ People's Republic of China Michael 0 Katanaev, Steklov Novosibirsk, Rep of Russia Mark Michael Malamud, Donetsk Michael A Henning, Univ of Natal, Institute of Mathematics, Young-In Kwon, Gyeongsang Polytechnic Institute, Rep of Pietermaritzburg, Republic of Moscow, Rep of Russia National Univ, Chinju, Korea Ukraine South Africa Pavel I Katsylo, Moscow Institute of James LaMarca, Redlands, CA A C Manoharan, Univ of Oklahoma, Brian Rickie, West Redding, CT Electrical Engineering, Rep of Tuwaner Hudson Lamar, Georgia Edmond Alexander L Hipolito, Univ of Russia Institute of Technology, Atlanta Florida, Gainesville Wilhelm Kecs, Petrosani Technical Hector Lara-Chavez, Morelos, Witold Michak Marciszewski, Univ Inyang E Crispin Hogan, Univ of Univ, Romania Mexico of Warsaw, Poland Uyo, Nigeria Rafail Z Khasminskii, Wayne State Vladimir Borisovich Larin, Academy Mircea Martin, Lawrence, KS Julia L Holt, Bristol, Rl Univ, Detroit, MI of Sciences of the Ukrain, Kiev, I P Martynov, Grodno, Rep of Yi Hong, South China Univ of Georgi Khristov, Bulgarian Academy Rep of Ukraine Byelorussia Technology, Guangzhou, of Sciences, Sofia P G L Leach, Univ of Natal, Pavol Marusiak, VSDS, Zilina, People's Republic of China Denis Jahjevitch Khusainov, Kiev Durban, Republic of South Czechoslovakia Laszlo Horvath, Janoshaza, Hungary State Univ, Rep of Ukraine Africa Roman Matuszewski, Warsaw, S Pat Houlihan, Kalamazoo, MI Young-Hoon Kiem, Kwangju­ Phillip E Leahy, City of Newburgh Poland Chen-ming Hu, San Gabriel, CA Jikhalsi, Korea School District, NY Gyula I Maurer, Hungarian Academy Zheng Shu Huang, Fujian Normal Jeongook Kim, Chonnam National Mary Ann Lee, Mankato, MN of Science, Budapest Univ, People's Republic of Univ, Kwangju, Korea Jerzy Legut, Technical Univ of Vladimir Viktorovich Mazalov, China Kwang Ick Kim, Pohang Institute of Wroclaw, Poland Chitinskiy Institute of Natural Thran Mamed Ibragimov, Azerbaijan Science and Technology, Korea E F Lelikova, Russian Academy of Resources, Chita, Rep of Russia Academy of Sciences, Baku, Yong Chan Kim, Yeungnam Univ, Sciences, Ekaterinburg, Rep of Alice D Me Neil, Landover Hills, Rep of Azerbaijan Gyongsan, Korea Russia MD

532 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY m···-m··~--ilfu1lrmr?-.:1!JW&J&1£W New Members of the AMS

Natalia Borisovna Medvedeva, J S Ponizovskii, St Petersburg, Rep V V Sergeichuk, Mathematical Janusz J Szuster, Lublin Technical Chelyabinsk State Univ, Rep of of Russia Institute, Kiev, Rep of Ukraine Univ, Poland Russia Despina T Prapavessi, Diablo Valley Gordon P Serjak, Miami, FL Ryszard Szwarc, Wroclaw Univ, Kamal N Mehta, New Delhi, India College, Pleasant Hill, CA Zhen Sha, Zhejiang Univ, Poland Dao Ji Meng, Nankai Univ, Tianjin, Radu Precup, Univ of Cluj-Napoca, Hangzhou, People's Republic of Xue-Cheng Tai, Univ of Jyvaskyla, People's Republic of China Romania China Finland Jiamning Miao, Piscataway, NJ Bogdan Przeradzki, Lodz, Poland Vladimir Shander, Brooklyn, NY Evelyn L Tan, Univ of the Janusz Mierczynski, Technical Univ Jolanta Przybycin, Academy of llya Shapiro, Tomsk Pedagogical Philippines, Quezon City, of Wroclaw, Poland Mining & Metallurgy, Krakow, Institute, Rep of Russia Republic of Philippines Peter Mihok, P J Safarik Univ, Poland Vladimir Shelkovich, St Petersburg, Menner A Tatang, Boston, MA Kosice, Czechoslovakia Marek Ptak, Skawina, Poland Rep of Russia Joaquim Tavares, CCEN UFPE, Alexander A Mikhalev, Moscow Sri Purwanti, Bandung, Indonesia Therese N S Shelton, Southwestern Recife, Brazil State Univ, Rep of Russia Min Qian, Peking Univ, Beijing, Univ, Georgetown, TX Achilles Tertikas, Univ of Crete, Vladimir Michaelovich Mik:lyukov, People's Republic of China Ji-Huai Shi, Univ of Science & Greece Volgograd, Rep of Russia Jing-Hui Qiu, Suzhou Univ, Technology of China, Hefei, Jie Tian, Chinese Academy of Yordan Perrov Mishev, Higher People's Republic of China People's Republic of China Sciences, Beijing, People's Institute of Forestry, Sofia, Irena Rachunkova, Palacky Univ, Ying Guang Shi, Chinese Academy Republic of China Bulgaria Olomouc, Czechoslovakia of Science, Beijing, People's S T Tikhonchuk, Odessa, Rep of Stefan Mititelu, Bucharest, Romania Istvan Racz, Central Research Republic of China Ukraine Guillermo Morales-Luna, Institute for Physics, Budapest, Aleksander Shostak, Latvian State Ferucio Laurentiu Tiplea, Univ AI CINVESTAV del IPN, Mexico Hungary Univ, Riga, Rep of Latvia Cuza Iasi, Iasi, Romania Ferenc Moricz, Univ of Szeged, Ewaryst Rafajlowicz, Technical Univ Ossip Vladimirovith Shvartsman, Syed Ikram Tirmizi, Sultan Qaboos Hungary of Wroclaw, Poland Moscow, Rep of Russia Univ, Al-Khod, Oman S N Murthy, Indore, India I Rakhimov, Romanovskii David Sidilkover, New York Josef Tkadlec, Technical Univ of Bruno L Nachtergaele, Princeton Mathematical Institute, Univ-Courant Institute Prague, Czechoslovakia Univ, Univ, NJ Tashkent, Rep of Uzbekistan Anastasios Simalarides, Athens, Yu Sun Tong, Fudan Zbynek Nadenik, Prague, Mark Spyridonovich Rarmn, Russian Greece Shanghai, People's Republic of Czechoslovakia Academy of Sciences, St Karoly Simon, Miskolc Univ, China Trimeche, CATIPUS, Tunis, Karel Najzar, Prague, Petersburg, Rep of Russia Miskolc-Egyeternraros, Hungary Kalifa Tunisia Czechoslovakia Inder K Rana, Indian Institute of Theodore Elias Simos, Athens, Troupe, Univ des Antilles, Samyon R Nasyrov, Kazan, Rep of Technology, Bombay, India Greece Marylene of Pointe-a-Pitre, France Russia loan Rasa, Polytechnic Institute Somdatta Sinha, Center for Yu V Trubnikov, Vitebsk, Rep of Ponnammal Natarajan, Madras, India Cluj-Napoca, Romania Cellular & Molecular Biology, Byelorussia Hanna Nencka, Univ of Madeira, Valery Nickolaevich Razzhevaikin, Hyderabad, India Academy of Science, Tsvetomir Votov Tsachev, Mining & Portugal Russian Rong Situ, Zhongshan Univ, Geological Univ, Sofia, Bulgaria Max C Ng, Shatin, Hong Kong Moscow, Rep of Russia Guangzhou, People's Republic of Salah Eddine Rebiai, CNEP II, Yevgeny Fjodor Tsarkov, Riga, Rep Igor M Novitskii, Khabarovsk, Rep China B atna, Algeria of Latvia of Russia Valeriy S Sizikov, St Petersburg, Rep Andrejs Reinfelds, Latvia Academy Charalambos Gregory Tsitouras, Jan Ohriska, Safarik Univ, Kosice, of Russia Czechoslovakia of Science, Riga, Rep of Latvia Athens, Greece Alexander Leonidovich Pavlovich Okhezin, Urals Yanxia Ren, Hebei Institute Murli Dhar Upadhyay, Lucknow, Vladimir Skubachevskii, Moscow Rep of Mechanical Electrical India Univ, Ekaterinburg, Aviation Institute, Rep of Russia Russia Engineering, Shijiazhung, Yordan Stoev Vak:lev, Bulgarian Sanford F Smith, Bennington, NH Mircea Tudor Orasanu, D Emmanuel People's Republic of China Academy of Sciences, Sofia Manuela Sobral, Univ of Coimbra, Institute, Bucharest, Romania Yongcai Ren, Sichuan Univ, Vesko Marinov Valov, Univ of Portugal Cihan Orhan, Univ of Ankara, People's Republic of China Zimbabwe, Harare Jin Woo Son, Kyung Nam Univ, Turkey Jong-Han Rhee, Samsung Electron Alexander Y Vaninsky, Haifa, Israel Masan, Korea Andrzej Orlicki, Univ M Kopernika, Devices, Kyungki-Do, Korea A I Vasilev, Ekaterinburg, Rep of National Torun, Poland Anna B Romanowska, Politechnika Seok-Zun Song, Cheju Russia Univ, Korea Youssef Ouknine, Univ of Cadi Warszawska, Warsaw, Poland Claudio H Velasquez, Tordas, Thana, Ayyad, Marrakech, Morocco Branislav Rovan, Comenius Univ, Vyenkatesh M Soundalgekar, Hungary Julius W Overbeck, Richardson, TX Bratislava, Czechoslovakia India Subramanian Venkateswaran, Birla Zsolt Pa'les, Kossuth Lajos Univ, Nickolai K Rozov, Moscow State Alexander Starkov, Moscow State Institute of Technology & Debrecen, Hungary Univ, Rep of Russia Univ, Rep of Russia Science, Rajastan, India Gilda de Ia Rocque Palis, Rio de Ji-Shou Ruan, Nankai Univ, Tianjin, James W Steincamp, Huntsville, AL Andrew Brisovich Verevkin, Janeiro, Brazil People's Republic of China Ognyan S Stoyanov, Virginia Ulyanovsk, Rep of Russia Sanjay Kumar Pant, Banaras Hindu Gernady Ryabov, Liebedev Institute, Polytech Institute & State Univ, Vitezslav Vesely, Masaryk Univ, Univ, Varanasi, India Moscow, Rep of Russia Blacksburg Brno, Czechoslovakia Kihong Park, Boston Univ, MA Sergei Vladimirovich Rzhevskii, Jian Hua Sun, Nanjing Univ, Mikhail M Vishik, Univ of Texas at Leonid Pastur, Ukrainian Academy Kiev, Rep of Ukraine People's Republic of China Austin of Sciences, Kharkov, Rep of Alexey L Sadovski, Texas A & I Limin Sun, Hangzhou Univ, Albert N Voronin, Kiev, Rep of Ukraine Univ, Kingsville People's Republic of China Ukraine Sergio Plaza Salinas, Univ de Jan Samsonowicz, Polytechnic Zhi Wei Sun, Nanjing Univ, Peter Leslie Walker, Sultan Qaboos Santiago de Chile Warszawskiej, Warsaw, Poland People's Republic of China Univ, Al-Khod, Oman Anatolij M Plichko, Lviv, Rep of J Sandor, Jud Harghita, Romania Irina Suprunenko, Academy of Bing Hong Wang, Univ of Science Ukraine Mehmet Ali Sarigol, Univ of Science of SSR, Minsk, Rep of & Technology of China, Anhui, Vecheslav G Pokotilo, Institute Erciyes, Kayseri, Turkey Byelorussia People's Republic of China of Cybernetics, Kiev, Rep of Krzysztof Sarnowski, Fairbanks, AK Somporn Sutinuntopas, Dakai Wang, Northwest Univ, Ukraine K R S Sastry, Addis Ababa, Ethiopia Ramkamhaeng Univ, Bangkok, Shaanxi, People's Republic of Libor Polak, Masaryk Univ, Brno, Zoltan Sebestyen, Eotvos Univ, Thailand China Czechoslovakia Budapest, Hungary Boleslaw Szafirski, Krakow, Poland Daoliu Wang, Chinese Academy Demosthenes Polyzos, Univ of Carlos Segovia, Buenos Aires, Janusz Szczepanski, Polish Academy of Sciences, Beijing, People's Patras, Greece Argentina of Sciences, Warsaw Republic of China

MAY/JUNE 1993, VOLUME 40, NUMBER 5 533 m•••··--; mr New Members of the AMS

Dongming M Wang, LIFIA-IMAG, Hyeong Seon Yoo, Inha Univ, Raul Rojas Beloit College Grenoble, France Incheon, Korea Israel Mathematical Union Kenneth Fay Kalen Geng Wang, Anhui Normal Univ, Yeon Soo Yoon, Hannam Univ, Isaak Rubinstein Takuya Okabe People's Republic of China Taejon, Korea Alexander Guorong Wang, Shanghai Normal Nuraini Yusoff, Institute of Shnirelman Binghamton University Univ, People's Republic of Technology, Shah Alam, Hmos Bolyai Mathematical Society Collin P Bleak China Malaysia Janos Szenthe Greta Hoffmann Hong Wang, Xinjiang Univ, Vladimir Grigmjevich Zadorozhnij, Janos Sztrik Karl Lorensen People's Republic of China Voronezh State Univ, Rep of Korean Mathematical Society Douglas P Mennella Jenn-Nan Wang, Seattle, WA Russia Patrick M Ratchford Jia-gang Wang, Jun S Park East China Univ of Iordan A Zashev, Univ of Sofia, Eric D Rose Chemical Technology, Shanghai, Bulgaria London Mathematical Society Matthew P Visscher People's Republic of China Alexander G Zavadskij, Kiev Civil David Warwick Mcintyre Xiaodong Wang Jian-pan Wang, East China Normal Engineering Institute, Rep of Anthony E Solomonides Arthur Weinberger Univ, Shanghai, People's Ukraine Bo Zhang Republic of China Yun Bo Zeng, Univ of Sciene & Boston College Malaysian Mathematical Society Luqun Wang, Heilongjiang Univ, Technology of China, Anhui, Chris L Boucher Cho Seng Lee Harbin, People's Republic of People's Republic of China Joan Cloherty-Sullivan China Dian Zhou Zhang, East China Mathematical Society of Japan Elizabeth Dennin Mingyi Wang, Mianyang Teacher's Normal Univ, Shanghai, Yuusuke Iso Catherine B Dornback College, Sichuan, People's People's Republic of China Tong Ho Kim Republic Suzanne Giordano of China Gongli Zhang, Hangzhou Institute of Katsumi Shimomura Pin Chao Wang, Qufu Normal Univ, Electrical Engineering, People's Terry L Kates People's Republic of China Republic of China Mathematical Society of the Republic Gerard S Lambert Song-Gui Wang, Univ of Science & Guang-Lu Zhang, Univ of of China Chris Marino Technology of China, Hefei, Petroleum, Shandong, People's Shyi-Long Lee Helen Paulos People's Republic of China Republic of China Shen Qi Zhao Brandeis University Xue-Kuan Wang, Hubei Univ, Jifeng Zhang, Academia Sinica, Ramanujan Mathematical Society Wuha, People's Republic of Beijing, People's Republic of Roman Bezrukavhikov Neela S Sukthankar China China Andrea Bruno Xuekong Wang, Daqing Petroleum Pu Zhang, Univ of Science & Societe Mathematique Suisse Dorothy Chong Institute, Helongjiang, People's Technology of China, Hefei, Peter Littelmann Benoit Gerard Republic of China People's Republic of China Societe Mathematique de Belgique Vsevolod Vladimirovich Kashin George Alan Welch, Colby College, Zhenyue Zhang, Zhejiang Univ, Franki Dillen Upendra B Kulkarni Waterville, ME Hangzhou, People's Republic of Hua Peng Erwin Wendland, Johannesburg, China Sociedad Colombiana de Matematicas Griselda Rondon Republic of South Africa Aleksandr Aleksandrovich Zheltukhin, Carlos Orlando Ochoa Castillo Mari Sana Zbigniew I Woznicki, Institute of Ukranian Academy of Sciences, Sociedad de Matematica de Chile Kuang-Yeh Wang Atomic Energy, Otwock-Swierk, Kharkov, Rep of Ukraine Rigoberto Medina Leyton Poland Xi Zhong Zheng, Bing Xu Nanjing Univ, Jimenes Manuel Pinto Chuan Xi Wu, Hubei Univ, Wuhan, People's Republic of China Brigham Young University Sociedade Portuguesa de Matematica People's Republic of China Tongde Zhong, Xiamen Univ, Xinyu Deng Manxi Wu, Maryville, MO People's Republic of China Isabel M Da Costa Salavessa Darrin Matthew Doud Ning-Mao Xia, East China Institute Chaoshun Zhou, Huazhong Univ of Svenska Matematikersamfundet Thomas Gribovszri of Chemical Technology, Science & Technology, Wuhan, Karl Vilhelm Adolfsson Shanghai, People's Republic of People's Republic of China Denise Marie Halverson China Mei Ke Zhou, Beijing Normal Univ, Union of Czechoslovak David J Huff Li Xiang, Guizhou Univ, Guiyang, People's Republic of China Mathematicians & Physicists Eliezer P Libi Libi People's Republic of China Tianxiao Zhou, Xian, People's Vlastimil Krivan Lynn W Lindsay Jinghua Xu, Academia Sinica, Republic of China Vijnana Paris had of India Jie Liu Shanghai, People's Republic of Hui Zhu, Univ of California Anatoly Aleksandrovich Kilbas Yonghong Mao China Berkeley Jan Lyn Pitts Xiao-Quan Xu, Jiangxi Normal Univ, Xing Wu Zhuang, Fujian Normal fslenzka Staerdfraedajelagid Kenneth People's Republic of China Teachers Univ, Fuzhou, People's Rognvaldur G Moller D Reeves Zongben Xu, Xian Jiaotong Univ, Republic of China Frank Carter Wilson People's Republic of China Jan Zitko, Prague, Czechoslovakia Robert Lee Wood Sergei Yu Yakovenko, Weizmann Cheng Zu Zou, Jiling Univ, People's California Inst of Tech Institute of Science, Rehovot, Republic of China Shahin Ajoodani-Namjni Israel Geoegios E Zouraris, lraklion, NOMINEE MEMBERS Ziv Ben-Yair Vasiliy Pavlovich Yakovets, Kiev, Greece Rep of Ukraine American University Ilia Arkadievich Binder En-Hao Yang, Jinan Univ, John Foster Beyers ll David J Haroldsen Guangzhou, People's Republic of Robert E Reid Frances Yvonne Jackson China RECIPROCITY MEMBERS Andrews University Yue Lei Xiang Qun Yang, Xiamen Univ, Newell L Rose Xuhua Li People's Republic of China Asociacion Matematica Espanola Alexei Gennady Poltoratski Arizona State University Yury Petrovich Yatsenko, Ukrainian Gustavo Santos-Garcia Stanislav Konstantin Smirnov Academy of Sciences, Kiev, Samir Hammadi Dansk Matematisk Forening Slawomie Solecki Rep of Ukraine Armstrong State Lisbeth Fajstrup College Alexander V Teplyaev Jia-Chen Ye, Tongji Univ, Shanghai, Timothy Raymond McMillion lli People's Republic of China Deutsche Mathematiker-Vereinigung Qing Yang Baylor University Hong Xun Yi, Shandong Univ, e. V. California Polytech State University Phillip Allen Rhodes People's Republic of China Helmuth R Malonek Michael Scott Casey

534 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY New Members of the AMS

David A Edwards Natasha Renee Wiilliams Todd Ray Young Kansas State University John Ed Ematt College of Staten Island, CUNY Lan Zhang MarkABumby Brett J Herren Michele L Inks Limin Zhang Sarah V Gleason Mohammad Talebi Shawn A Winter-Roach Grad School & University Center, James Robin Hartfield Rengi Li California State University Hayward College of the Holy Cross CUNY Hamid Mazloom Paul Green Melissa D Aldridge Serigne Modou Diop Julie Kay Morgan Richard Lee Hom Jennifer Ann McEnery Jeffrey Litwin Timothy John O'Brien Robert Liu Monique Anne O'Brien Grand Valley State University Subashan Perera Kurt H Schleunes Kara R White Benjamin D Engelsma David A Phelps George Waters Howard Lewis Graves Colorado State University Marli L Rieck California State University Los Susan Lynne Chaffee Christopher Lee Haan Bradley B Shank Angeles Douglas Karl Heilman Wan-I Lee Scott A Sowers Nils A Mork John P Lekutis Columbia University Magdalena Velebilova Brian M Stewart California State University, Markus Bannert Manimegalai Youvaraj Matthew P Szudzik Bakersfield Niuolaos Diamantis Ying Zhang Alisa Marie Barlow Hardin-Simmons University Hessam Hamidi Tehrani Lake Forest College Dawn A Kavanaugh Dan P Dawson Bo Ilic Heather L Juenqst Kelly Jeanne Pearson Dosang Joe Harvard University Kimberly Yeaton Andrew Sean Watson Man-Cheung Leung Xi Chen Lakehead University California State University, Fullerton Yang Liu Keith Conrad Kai Deng Bret S Black Shengming Ma Charles Francis Doran Nasser Noroozi Tanya M Borg Bruno Namorado Oliveira Mikhail Grinberg Michelle Rittau Mamta Goel Hung Yean Loke Cornell University Brian Keith Stewart Smith Kelley A O'Hem Greg Henry Eric M Rains Louisiana State University, Baton Patricia L Schubert David R Kennerud Ralph Costa Teixeira George B T Sturr Eric K Wepsic Rouge Dartmouth College Dongya Zou California State University, Long Sharon M Frechette Hofstra University Loyola University of Chicago Beach Drexel University Richard G Danning Michael D Knapick Jean-Denis Stephanie Bertron Samuel Albert Scott A Drucker Robert Maxell Joseph Edward O'Donnell Jr Bruce R Frank Hope College Ethan E Threadgill Mankato State University Victor N Kravets Han Chen J Casimir de Sulima­ Heather J Killa Eckerd College Indiana University at South Bend Przyborowski Marquette University Nazarre N Merchant Richard Flint Carleton University Dianxun Xu Christopher R Stimac Steve E Henderickson Ian Jason Bercouitz Marshall University Fairfield University Molly L Naragon Norma B Chhab-Alperin Christopher Lee Cunningham Kathleen Mae Doody Geetha Ravishankar Sean R Crowe Steven L Rhoades Ronda! Joe DeLong J P Gwet Florida Internatl University Rebecca Hunter Duke Inst for Advanced Study Mohamed Ali Hemmi Marta Alpar Susan V Helton Olivier Ramare Frantisek Marko Franklin & Marshall College Weien Liu John W Schwarz Ali Ahmed Salahuddin Iowa State University Janani Mahalingam Daniel Edward Carberry Qi Wang Georgetown University Christopher Lee Pendleberry Jianlin Cheng Cleveland State University Tim Y Chen Deepesh K Randeri Shu-Meei Lee Susan M Halamek Elizabeth M Cherry Massachusetts Inst of Tech Ying Li Tianli Liu Joseph A Giliberto Alexander Astashkevich Jason Myles Mayeroff Paul C Rokicky Christos Athanasiadis Georgia Inst of Tech George Robert Peters Steve Szabo Kristen-Anne Bremke Noelle F Bandy Yi Su Xiaohong Yao Michael G Chefter Eugene A Belogay Hsin-Feng Tsai J Daniel Christensen College of Charleston Neal L Blessinger Hualin Wang Mathieu Gagne Louis Joseph Attanasi Theresa A Bright Christopher John Westermeyer Guillermo Hugo Goldsztein Kimberly Patrice Drakeford Michael Eidenschink Warren Kurt vonRoeschlaub Barbara B Glasbrenner Benjamin Joseph Elkins Anthony A Harkin John Carroll University Susana L Homte-Walters Zuzana Gedeonova Siqian He Richard A Benjamin William F Lachicotte III Tobias Haffner Jennifer Chunyan Huang Stephen D Nicholas Michael M Lanterman Alana T Hodge Colin James Ingalls Lisa Riddle Lewis Michael 0 Keeve Johns Hopkins University, Baltimore Leonid I Korogodsky Kevin C Miller Mark Douglas LaDue Guizhong Chen Edith A Mooers Terry L Moss Zhiwu Lu Huaping Chu Marat Z Rovinsky Tamara Christine Owsley Diana M Nyquest Mohammad Ghomi Daniel Alan Spielman Charles Sidney Rittenberg Steven Michael Pederson Julio Alejandro Kovacs Michelle Marie Wilson Luba M Senogva Ming Liang Pei Soonhak Kwon Christopher T Woodward David John Stanton Waltraud Rufeger Heuisu Ryu McGill University John M Thomas Domingo Salazar Jacqueline Regan Guy Dumais J Vance Waggener Jr Mary Beth Brookshire Young Stradtmann-Carvalho Manuela Mihailovici

MAY/JUNE 1993, VOLUME 40, NUMBER 5 535 New Members of the AMS

Sridhar Narayanan Alexandre Loureiro Madureira Robert J O'Connor Margaret Alice Potter Lili Pasha Anna Kathleen Tyler TriP M Van Fozia Sanober Qazi Henrik Laurberg Pedersen Portland State University Michael Yuzy Yampolsky William H Stuart Xiaohui Wang Emily Anne Asher SUNY, College at Brockport David L Weldum Xiaojin Xiong Cindy Chen Bruce C Cowley Beverly Beth Wiess Montana State University Kari L DeBower DiemHang Kennison Huynh Bonnie M Young Kristan Lynn Rose Joseph REdiger SUNY, College at Potsdam Tennessee Tech University Mount St Vincent University Lynne Pardee Erdman Eric Alan Canfield Anuja Badve Eileen Marie Felx Andrew J Flight Judy Lynn Hoskins Qianyu Chen Alix I Gitelman Aiming Guo Murray State University Robert Reinhoud Linscheer Christine S Hartshorn BinLu Lance Jason Gibbs David F Lopez Danielle Johnson Christian Edward Miller Beth Poole Nancy Sanders Miller Paula Ann Kitchen Weissman Ren Shan Dan G Thompson Alexander Dale Allen Wood Hung Viet Le San Diego State University New Mexico Highlands University Dwight Edwin Marsh Steven L Bell Trenton State College Tony Alfredo Gallegos Griffin David McClellan Kevin P Cavanaugh Eileen Arendt North Carolina State University Patricia Ann Messenger MikeS Ferreira Denise A Gauvin-Tharney Scott Thomas Gray Viorela Victoria Neagoe Dee Herma Huntington Frederick W Schuppan Edward L Moore Jack D Scrivener Holger G Kramer Michael John Shumila North Dakota State University, Fargo Providence College Alan L Krause Jr Ning Xi Richard Irvin Avery David M Gendron Allison Denise Moffett Union College Ronald Adrey Fevig Shannon Fecteau Johnston Terrie Lou Nichols James P Nau Yongzeng Lai Annunziata A LePera Sharon Lorraine Rhodes Hal Leo Poret Bradley Kent Prothero Amy Marie Lelievre Simon Fraser University James D Teresco North Georgia College Paul G Tremblay Raul Cartaya University Nac Autonoma de Mexico Dennis Abercrombie Purdue University Maria Cisnero Deborah Oliveros-Braniff Matthew Jerome Mitchell Namyong Lee Fiona Humphris Sergio Rajsbaum Susan S Roach Rockefeller University Winston Lawerence-Anand Ernesto Rosales-Gonzalez Northeastern Illinois University Estela V O'Brien Ming Li University of Akron Robert S Kocan Rockford College S Mizumi David K Johnson Northern Illinois University Karen K Hoover Joy Morris Zhaolin Mao Tian Liu Michael D Lake Chandine Perera Amy L Masters D Raychaudhuri Northwest Missouri State University David C Wilson Brian T VanPelt Mateja Sajna Philip Roger Gustin Jr Rutgers University, Newark University of Alabama-Huntsville Grace Schowalter Kari Jean Sellberg Su Hyeon Namn Susan Diane Calvin Alan Wittkopf Karen Renee Thompson Xingzhong Shi Rutgers University Han-Long Yang Norwich University Amine Mohamed Asselah Christian B Smart Southern Illinois University, Levent Bilir Terry Lee Williams Jr Cathy M Frey Carbondale Waclaw Timoszyk Richard Kevin Bonilla University of Arkansas at Fayetteville Daowen Zhang Oakland University Veronica Cavero Asad Azemi Tor K Gunston Southern Oregon State College Carl Leon Barnwell Mark Richard Bodnar Aaron Geoffrey Curtis Chander Nijhon Zuhong Han Mary P Farmer Southwest Texas State University Nancy Jean Van DeGrifz Joshua J Kutchai Regina Lynn Garner Luca Mauri Robert H Byrom Mamoun A Harnmosh Ohio State University, Columbus Siu-Hung Ng St Olaf College Karen Jean Johnson John P Cashy Jennifer Rippel Kimberly Jean Christian Cathey Ann Jordan Anthony Geniec Maika Rosenthal Tina Andre Erickson Gregory Allen Madden Savva Pavlou Joseph W Simons Kelly Ann Kaiser Olga Valerievna Poliakova Teresa Marie Przybyla Robert W Smyth Robert Scott Keller Donal Dimitri Rowlett Oklahoma State University, Stillwater Paul Socolow Richard Douglas Rupp Carol M Warner LaVerne Bitsie Jose E Sosa Matthew Royer Schrag Jiafu Yu Old Dominion University Arpad Toth Matthew R Schulze Abiy Zewde Gilbert Kerr Jeffrey Scott Vogel Syracuse University University of British Columbia Sudesh Kumar Srivastav Meijun Zhu Kevin Keith Ferland Alexander L Cheng Sang Kyu Yang SUNY at Stony Brook William J Hardin Francis Dery Xiutian Zhao Damian Ballesteros Jochen Hermann Patrick Robert Doran-wu Pennsylvania State University, Rukmini Dey Shashidhar Jagadeeshan Jennifer Sylvia Enns University Park Benjamin V Hinkle Yuan Qing Ji Philip Robert Freeman Mohammad N Abdulrahim Neil N Katz Thomas M Killoran Jean Guerin Cheryl Katherine Clark Jaeman Kim Hartrnut Xaver Lanzinger Andrew F Hare Maher Hasan Felemban Leonid B Koralov Philip J Lynn Marvin S Lee Asya Guysinskaya Janko Latschev Peter A Mechalke Yidong Liu Moisey Guysinsky Lilia Lyubich Lakshmi V Modali Petra Margarete Menz Shu-Fu Hsu David Tyrone Mcintosh Thomas John Pfaff Alexander Isaak Mogilner

536 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY -~--~···-~--~~---- ··-··-···-····-····-~ ···········-···········-··· ·············-~·····--···~·-····~'""111111111111------lllllllllllllr-- New Members of the AMS

Keith S Orpen George Michailidis David R Twisselmann Hao Wang Glen R Pugh Brian James Miller Andrei E Vityaev John Jerome Westman James Robert Ritchie Chi Wah Ng Ronghui Xu Anne Marguerite Willmore Magdalena Rucker Baa Dinh Nguyen Michael A Zabrocki Weiyu Xiong Lynn Mary Van Coller Michael Scott Post University of California, Santa Cruz BoYan Christopher Kelly Williams Daniel Stuart Rubenstein April E Allen Yongzhi Yang Qingjie Yang Kevin Patrick Scannell Phillip Edgar Dawkins Misun Yu Chaogui Yuan David M Strong Meng Kai Hong Qi Zeng University of California, Berkeley Ted Douglas Sweet Andrew S Klingler University of Illinois at Alexander Alevras Filippo Tolli Martin Renteria Landeros Urbana-Champaign Hung-Wen Chang Andrew Hoc Trieu Eric T Matsui David A Boyd Ricardo Cortez Jeannette Tyerrnan Christopher R Moss Sharon Ann Kineke Ioannis Ernrnanouil Jon Edward Tyson David Allen Newton Bryan D Mosher Andrew James Ensor Lisette Marie Valladares Tuyen The Nguyen University of Kansas Sante Gnerre Edward Vaysleb Stephen M O'Donnell Zhisheng Chen William E Grosso Janet Yoshiko Webb Dipankar Ray Eric Matthew West Corran James Webster Michael Andrew Grosvald Heidi M Sauseda University of Louisville Soren Winkler Robert Lear Jerrard University of Cincinnati John A Steele Yeung Byung-Jay Kahng ManChung Bhuvaneshwari Chandrasekharan Katherrnina Lily Yuen University of Maine, Orono Bumsig Kim Greg J Grady Yiu-Fai Yung Roger Andre Cyr Inkang Kim Misty Jena Hein Shannon C Lunn Kim University of California, Riverside Yonghoan Tikiri Banda Karunasundera Robert Dwayne Morse Alberto David Acosta David R Kohel Carl William Lingen Leigh A Snowden Rich Liebling James W Bigelow Krishnaiyer G Mahalakshmi University of Maryland, College Park Thomas R Lippincott Ching Jung Guu Huiling Pei John Thomas Barnett Gregorio Malajovich Cory E Hand Robert John Sherwood Wojciech Bulatek Jeffery C Morford Qi Christina He Shumacher Carole B Jae Ryong Kweon Nina T Morishige Linda B Hintzman Senshu Ye Aaron E Naiman Alexandru Mihai Nica Ying Yi Huang Yu Daohai Ayse Arzu Sahin Bjorn Poonen Siew Ching Lee Qian Zhang University of Massachusetts at Lowell Enrico E Schlesinger Gwoho Liu Xiaofeng Zhu Sirnic Karen L Mifflin Melinda A Barton Slobodan University of Connecticut, Storrs Umrninger John J Noga Glenn A Berger Frederick William Chin-Chieh Chiang Jonathan Walden Zhongdao Ren Joseph H Beyer University of Dayton Hong Yun Wang Diane C Robledo James W Brzowski Vicki L Beebe Feng Xu Jonathan C Ruyle Paul C Bukowiec QunHe Geoffrey W Casteel University of California, Los Angeles Frank H Shaw Ahmad A Sawtari Cheng-Chiech Cheng Tim James Bays Henrik Thistrup-Jorgensen University of Hartford Kimberly P Coyle Mattias Torvald Bergstron Laura J Thoennes Shaheeda Abdul Kader Richard F Drost Jr Jason Cameron Bond Lisa J Walker C W Tsvi James D Gasper J amylle Laurice Carter Lih-Chung Wang Joseph John M Gada Youlim Choi Karl P Weckwerth University of Illinois at Chicago Michael C Hashem Christopher John Cleveland Jian Yun Ye Brendan P Burke Marla Lynn Jeffrey Randolph Garfield Cooper University of California, San Diego Yan Cheng Pao-Ing Lai Philip B Ellis Ian Ago! Wojciech Wiktor Florek Jiann-Jong Li Rita Fioresi Jamal Z Bernhard Shlorni Gelaki RonnieAnn R LiPetri Su Gao William B Brockman Arek Jozef Goetz Elizabeth B Lucas Katharine Govea Trevor R Carson Ailen Cabasco Gonzales James E MacDougall Eric Bradley Haas Erik J Eliassen Saar David Hersonsky William J Mahoney Lal.rra Elizabeth Heath Ryan L Garibaldi Qingxuan Jiang Darryl G Messier Nora S Hintlian Conway Gee Volker Kleinschmidt Robert O'Connell Ognjen Horga Hugh Nelson Howards Silvia B La Falce James Thomas O'Donnell KaiHu Yasushi Kasahara Ding-hai Liu Jeffrey A Orvedahl Thomas Hu Thomas E Kloster John F Mathais Robert A Paoni Marlisa R Johnson Robert D Knight Laura M Monore Helen A Park Terry Kim Michael Wallace Leonard Paul Martin Musial Janice M Roden Young Koun Lee Zhengyu Li Diann R Porter Ronald J Schille Yu-Ching Li Dung KLy Julianne Geering Rainbolt Nancy M Trepanier Chi-Tien Lin Archie T Medrano Mario Reichel Sharyn M Walczewski Ing-hwa Lin Gregory A Moore XuShi Michael J Williamson Johnson Su Lin Lynn S Moore Joseph H Shive Hungrning J Wu Ling-Chun Liu Perla L Myers Howard Brian Sirota Min Zhang Julie Ann Marshall Christopher J Pollett Yu-Ru Syau University of Massachusetts, Amherst Elaine Therese McDonald Elizabeth A Smith Theodoros I Vassiliades C Petersen Masafurni Meiarashi William S Stone Feng Wang Christine

MAY/JUNE 1993, VOLUME 40, NUMBER 5 537 New Members of the AMS

University of Massachusetts, Boston University of N C at Charlotte Yunli Jiang Allan Richard Willms Chinhwa Yang Crystal D Danner Zhezhen Jin University of Western Ontario University of Michigan, Dearborn Timothy B Fowler Haobin Luo Mohammad Ozair Ahmed Steven A Herman Marcia Gail Headley - Mehran Mesbahi Anne-Marie Elizabeth Allison Tamara Renee Mitzel Khadija Laghrida University of Southwestern Louisiana Jason J Diemer Art F Okarski Suzanne T Smith Sharon N Clark Xiaolin Fan Ralph E Thompson University of Michigan, Flint University of Texas at San Antonio Louise Claire Martin Yizhou Yang Pamela R Deering Christopher Court Douglas J Moseley Naijian Yao University of Michigan Cristella R Diaz Ahmad Reza Nezarni Shuping Zhang David R Bainbridge Hal A Harwell Thomas Peter Schopflocher Patrick Bidigare University of Nebraska at Omaha Esmarie A Kennedy George Tsoupros Jeffrey Ronald Boland Paul Francis Fillmore Monica Martinez Ying Xue Dan-Florin Coman Christopher L Olson Obed Matus Honglin Ye Solomon Moore Foster University of New Mexico Dina Isabel Mercado University of the South Robert Voorhees Gill Amber D N Anderson Yunhei Park Nowlin Gerard Randolph Amy M Huston Gregory Edward Brittelle Mario Alberto Rodriguez Utah State University David Lawerence Jessup Karen Kay Champine Gabriele B Simpson Aradhana Krishna Bhat Miguel J Gutierrez John Allen Kuchenbrod Eric Tobias Villanova University Jose Gerardo Hernandez-Garcia Geoffrey Louis La Forte University of Toledo Leo Michael Howitz Glenda Ruth Kooney Gregory George Martin Michael James Johnston Stephen D Marsheck Tamra Jo Mason Stephen Charles Root University of Toronto Owen J Shoemaker Virginia Commonwealth University Acmena M Schimid Amir Arbary Susan M Weber Marlene Kay Kustesky Alex Patrick Schuster Oleg Bondar Anurag Kumar Singh Liyang Xu Wabash College John U Carvalho Jingchen He Brendan J Weickert University of North Florida Bruce W A Clord Washington State University Dale John Winter Vincent Antonio Reginald Jason Herbert Sara J Hakim Carolyn Ann Yackel Camara Paul J Hsieh Brian Karl von Dahlen Guang Li Hugh Rogers Cornell Bernard Kamte Lani D Shipley University af Minnesota-Minneapolis Heidi Ann Howard Stephen Leake David Richter Sarah Elizabeth Nagle Blair F Madore Wesleyan University Ernesto Schirmacher John David Samons Paul EMezo Scott David Sauyet Luis Valero University of Ottawa Tuyen Nguyen Sylvia Silberger Honghui Xia Mohammad A Alzohairi Alexis D Patton John Peter Tomei University of Missouri-St Louis Michele Boutin Andrzej Pienkowski Western Carolina University Sherrie L Wisdon Martin Charbonneau Carlos Ueno Michelle Diane Wagner University of Montreal Ying Chen Jason A Zimmerman Western Illinois University Elinor Friedman Claude Bernier University of Washington Siva Kumar Bhattiprow Bo Jin Bernard Boulerice Greg Arden Azamolsadat Doolab Sebti S Kerbal Kerbal Seddik Chacrone Brian L Browning Nihar Gokhale Wangjie Li Jacques Champagne Alexis C Fitzpatrick Jaehyoun Kim Klaus Georg Nolte Josiane Courteau Dave A Frazzini Sung Eun Kim Matthieu Dufour University of Pittsburgh, Pittsburgh Fredrick Baden Holt Ding Min Abdelmjid Ftouhi Recep Aslaner Felix K Huang Piyapong Niamsup Raouf Hamzaoui John M Carroll Jr David V Ingerman Amit Narenira Shah Ghislain Leveille Faisal A-Karim Fairag Thomas Kaupe Dan Zhang Mohamed A Ouldbeddi Angela Marcela Garzon Joshua Yuri Ligosky Ke Zhang Thierry Robart JeffreyS Gherman Jose Luis Martinez-Morales Lei Zhang Mary Beth Grayson University of N C at Chapel Hill Izuru Mori Western Michigan University Bin Guo Jeffrey M Bolden Esmeralda Lucilla N astase Bonnie Jo Campbell Jose Rodolfo Hendoza-Blanco Kevin Edward Bums Lee Stewart Nave Wing Chan John R Long Sally Ann Clark Pietro Poggi-Corradini Hsu Ming William Chang Bruce L Montgomery Lawrence Keith Cooper Amy Rossi Daniel Cunningham David Schmidt Alice Trotter Crow Arun M Sannuti Karen Drake Adam G Fitzgerald University of Puerto Rico, Rio Benjamin Schoenberg Allen William Emerson Maura E Gallagher Piedras Dale N Skinner Cong Fan Kristen Alynne Haring Lillian Corcino Andreas Wiegmann Ramon Manuel Figueroa Darin L Kalisak Nildo Rafael Frias Song Xu Heather D Gavlas Chawne M Kimber University of Regina University of Waterloo Boyd Hanson Loreli M Koss Ullah Bashin Toby J Donaldson Esther Joy Hunt Matthew William Mitchell Sean William Goalen Derek James Euale Kie Tae Kang Shobhana Murali Malcolm A Harper Qing Fan James Robert Kett Marcia H Richardson Zhongping Zhang Chris Grnach Richard Low Peter John Vermeire University of Southern California Vijay Kashyap Scott McKnight Wei Wang Doris Honold Taojun Lu Shanthy Nainar

538 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY New Members of the AMS

Cindy Lou Seifried Wichita State University Xia Pan Ronald Cesare Dipillo Gordana Srnrzlic Philip Garneo Dahn Fang Xie Jean B Freeman Mei Huang Wang Williams College Long Sen Ye Don E Goodlin Jr Feipeng Xie Artur Y Fridman Youg You Savithri Kalla David Wayne Zeitler Xiaojin Yuan Julianne M Landis Wright State University, Dayton Yat-To Henry Yuen Pamela Ruth Lasher Graydon Barz Western Washington University Qingning Zeng Karyn L Lebec Daniel Lee Canada Xavier University Jinyuan Zhou Tod H Matola Kristi Lynn Wulf George Peter Hartman Xingfu Zou Christina Noelle Mays Dave Himes York University Youngstown State University William Spurlock Owen Gregory Scott Newbill Jaspal Budwal Christopher Alan Bellucci Michael A Szakacs Nels Edward Postma Pok Man Chak Jeffrey A Bernstein Georgia C Theophanous Arlene Marie Prather Yuen Ming Chow Dennis Evan DeChant Traca E Tithof Vauhn Elizabeth Kamaran Hashemi Vladimir Dimitrijevic Sherry R Verholer Wittman-Grahler Liyun Linda Li

American Mathematical Society Translations, Series 2 Ordered Sets and Lattices II Volume 152

This indispensable reference source contains a wealth of information on lattice theory. The book presents a survey of virtually everything published in the fields of partially ordered sets, sernilattices, lattices, and Boolean algebras that was reviewed in Referativny{ Zhurnal Matematika from mid-1982 to the end of 1985. Of interest to mathematicians, as well as to philosophers and computer scientists in certain areas, this unique compendium is a must for any mathematical library.

1991 Mathematics Subject Classification: 06; 03, 08 ISBN 0-8218-7501-9, 247 pages (hardcover), November 1992 Individual member $77, List price $128, Institutional member $102 To order, please specify TRANS2/152NA Singularity Theory and Some Problems of Functional Analysis Volume 153 S. G. Gindikin, Editor

The papers in this volume include reviews of established areas as well as presentations of recent results in singularity theory. The authors have paid special attention to examples and discussion of results rather than burying the ideas in formalism, notation, and technical details. The aim is to introduce all mathematicians-as well as physicists, engineers, and other consumers of singularity theory-to the world of ideas and methods in this burgeoning area.

1991 Mathematics Subject Classification: 40, 51, 57, 58, 92; 12, 19, 28, 32, 35, 49, 60 ISBN 0-8218-7502-7, 199 pages (hardcover), November 1992 Individual member $61, List price $101, Institutional member $81 To order, please specify TRANS21153NA $'""M•r, 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 . .<. ..,

.CS{f;VDED \'ti

MAY/JUNE 1993, VOLUME 40, NUMBER 5 539 Classified Advertisements

SUGGESTED USES for classified advertising are positions available, books or lecture notes for of applications will continue until the position sale, books being sought, exchange or rental of houses, and typing services. is filled. Please send application, resume, and THE 1993 RATE IS $65 per inch on a single column (one-inch minimum), calculated from the three letters of recommendation to: Dr. Paul Sip­ top of the type; $35 for each additional 16_ inch or fraction thereof. No discounts for multiple ads or pen, Director, IUPUI. Columbus, 4601 Central the same ad in consecutive issues. For an additional $10 charge, announcements can be placed Avenue, Columbus, IN 47203. anonymously. Correspondence will be forwarded. · An Affirmative Action/Equal Opportunity Em­ Advertisements in the "Positions Available" classified section will be set with a minimum ployer. Women and minority candidates are one-line headline, consisting of the institution name above body copy, unless additional headline encouraged to apply. copy is specified by the advertiser. Advertisements in other sections of the classified pages will be set according to the advertisement insertion. Headlines will be centered in boldface at no extra charge. Classified rates are calculated from top of type in headline to bottom of type in body copy, including lines and spaces within. Any fractional text will be charged at the next 16_ inch rate. Ads will appear in the language in which they are submitted. MINNESOTA Prepayment is required of individuals but not of institutions. There are no member discounts for classified ads. Dictation over the telephone will not be accepted for classified advertising. THE GEOMETRY CENTER DEADLINES are listed on the inside front cover or may be obtained from the AMS Advertising UNIVERSITY OF MINNESOTA Department. Director of Technology U. S. LAWS PROHIBIT discrimination in employment on the basis of color, age, sex, race, religion or national origin. "Positions Available" advertisements from institutions outside the U. S. The Geometry Center is the National Science cannot be published unless they are accompanied by a statement that the institution does not and Technology Research Center for Computa­ discriminate on these grounds whether or not it is subject to U. S. laws. Details and specific tion and Visualization of Geometric Structures. wording may be found near the Classified Advertisements in the January and July/August issues Its mission includes research, communication of the Notices. and education, with software and tool devel­ SITUATIONS WANTED ADVERTISEMENTS from involuntarily unemployed mathematicians opment in support. The program is centered are accepted under certain conditions for free publication. Call toll-free 800-321-4AMS (321-4267) on mathematics, and built on computing and in the U.S. and Canada for further information. visualization. The Center occupies about15,000 SEND AD AND CHECK TO: Advertising Department, AMS, P. 0. Box 6248, Providence, square feet of space overlooking the Mississippi Rhode Island 02940. AMS location for express delivery packages is 201 Charles Street, and the downtown Minneapolis skyline. Providence, Rhode Island 02904. Individuals are requested to pay in advance, institutions are not The Center is searching for a director for its required to do so. AMS FAX 401-455-4004. graphics and software development program. This Director of Technology will report to the Center's director in consultation with its execu­ tive committee. Currently there are 10 full-time in our algebraic computation group. Applicants technical staff who develop mathematics and should ILLINOIS be able to work in a fast-paced en­ graphics software, participate in communication vironment and be capable of interacting well and educational activities, and consult with and SOUTHERN ILLINOIS with mathematicians and others. Applicants assist visitors in such activities. The technical should have UNIVERSITY AT CARBONDALE a broad knowledge of mathemat­ staff will report to the Technical Director who will ics. Research experience in algebraic geometry, Temporary Positions also work closely with the faculty and associates complex 1993-1994 analysis, or a related field is desirable. of the Center. Applicants should have considerable program­ Department of Mathematics It is expected that the Technical Director will ming experience: knowledge of Mathematics become a leader in the national and international is required; experience with C is preferred. Temporary positions are. anticipated starting A mathematical communities in promoting these Ph.D. in mathematics (or equivalent experience) on August 16, 1993 as Lecturer. Masters de­ activities and managing the gamut of technical is required. gree in mathematics or admission to candidacy issues that surround them. The technical issues Send resumes to: Attn: Personnel required: Ph.D. preferred. Applicants should Depart­ include interconnectivity of software, integration ment, Wolfram Research, Inc., 100TradeCenter provide evidence of excellence in teaching, and with existing tools, specifications of new tools for Drive, Champaign, IL 61820 or send e-mail foreign applicants must provide evidence of to math computing and visualization, creation of a [email protected]. Wolfram Research, ability to teach in English effectively. Preference Inc. is model environment for experimental mathemat­ an affirmative action, equal opportunity given to applicants with research interests com­ em­ ics and, not least, dissemination of information ployer. patible with those of the faculty. The duties will to the math community and scientific public. consist of 12 hours of undergraduate mathe­ In promoting these activities, the Technical matics instruction each semester. Closing date Director will be expected to maintain contact May 15, 1993 or until positions are filled. Send with appropriate people in other, related, Sci­ applications (including transcripts) to: INDIANA ence and Technology Centers, and in the com­ Temporary Positions puter graphics and experimental mathematics c/o Ronald Kirk, Chair IUPUI COLUMBUS communities in general. Department of Mathematics Purdue University School of Science Minimum requirements are a Ph.D., at least Southern Illinois University at five years experience in corporate, government, Carbondale Tenure-track position in mathematics in the or academic research labs, and a high level of Carbondale, Illinois 62901 Purdue University School of Science at IUPUI communication and interpersonal skills. A sub­ SIUC is an Equal Opportunity/Affirmative Columbus. Rank and salary dependent upon stantial record of accomplishment in computer Action Employer. qualifications. Candidate must demonstrate ex­ graphics and/or large scale scientific software cellence in teaching undergraduates and re­ development will be expected. Salary will be search. Duties include teaching undergraduate competitive. mathematics classes that support the aca­ For further information, please contact Dr. WOLFRAM RESEARCH, INC. demic programs at IUPUI Columbus. Candi­ Wilks as below. To apply, please send in Mathematics Research and Development dates should have a Ph.D. and a record of confidence before July 31, 1993 your resume scholarly activities together with evidence of an and names of three references who know your We are looking for more top quality mathe­ active program of current research. A minimum work well to: maticians to join the Mathematics research and of three years of university teaching experi­ Dr. Allan Wilks development team. We anticipate openings in ence is required. Applications postmarked by Chair, Center Search Committee several areas. At present, a position is available May 31 , 1993 will be considered first. Review AT&T Bell Laboratories

540 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Classified Advertisements

600 Mountain Avenue, Room 2C-283 versite de Lausanne, Faculte des Sciences, Murray Hill, NJ 07974 AUSTRALIA College Propedeutique, CH-1015 Lausanne, E-mail: [email protected] Switzerland, fax (+41) 21 692 24 98 e-mail: Phone: 908-582-4550 THE FLINDERS UNIVERSITY OF C.Joseph@ ULYS.UNIL.CH. Fax: 908-582-3340 SOUTH AUSTRALIA The application deadline is May 31, 1993. The University of Minnesota is an equal Faculty of Science and Engineering Candidates of either sex are equally encouraged opportunity educator and employer. School of Information to apply. Science & Technology Lecturer C in Mathematics (Continuing) NEW HAMPSHIRE A$50,225 -A$57,913 pa UNIVERSITY OF NEW HAMPSHIRE Ref 93082X. Available from July 1993 in the Discipline of Mathematics, which offers a full CRIPTS WANTED The University of New Hampshire Department range of undergraduate and postgraduate re­ of Mathematics invites applications for a three­ search degrees. The appointee will assist in year position as Chair to begin in the summer the development of teaching in information sci­ Sendero Scientific Press regrets that we can­ of 1993; renewal is possible but not expected. ence and contribute to research programmes in not publish all worthwhile submissions, but The successful candidate will possess a Ph.D. mathematics related to this area. we can promise prompt, careful, courteous in the mathematical sciences and will have Essential criteria include Ph.D. or equiva­ consideration of all. We seek books of singu­ demonstrated significant accomplishments in lent, significant achievement in research and lar expository quality accessible to graduate the areas of scholarship and teaching; proven teaching, and proven ability in administration students in mathematics and physics. Write administrative leadership desired. Send letter of and professional activities. Stephen Parrott, Director, 1678 Shattuck Ave. application, resume (hiring is contingent upon Further information, including duty statement #70, Berkeley, CA 94709 eligibility to work in the U.S.), and names ofthree and selection criteria, from Prof. W. Moran, e­ references to: Donovan VanOsdol, Chairman, mail: mathspos@ ist.flinders.edu.au, phone 618- University of New Hampshire, Department of 201-2712 or61 8-201-2890 or fax 618-201-2904. Mathematics, M312 Kingsbury Hall, Durham, Applications, addressing the selection crite­ NH 03824. Application review will begin April 28, ria, quoting the reference number, and giving 1993. Women and minorities are encouraged to full details of qualifications and experience and apply. UNH is an AA/EEO Employer. the names, addresses, and facsimile numbers POSITIONS WANTED of three referees of whom confidential enquiries may be made, should be lodged, in dupli­ cate, with the Manager, Human Resources, The Ph.D. 1969, in Computational Mathematics. Flinders University of South Australia, GPO Box Twenty years teaching experience. Seventeen VIRGINIA 2100, Adelaide SA 5001, Australia, by 18 June published papers, one recently accepted for 1993. publication. Desire 1-3 year appointment. UNIVERSITY OF VIRGINIA The University reserves the right not to make Contact: Wyman Fair, 101 8 Cardinal Drive, Department of Applied Mathematics an appointment or to invite applications. West Chester, PA 19382. "EQUAL OPPORTUNITY IS UNIVERSITY The Department of Applied Mathematics in the POLICY'' School of Engineering & Applied Science at the University of Virginia has a tenure-track opening for an assistant professor in the area Numeri­ cal Analysis/Scientific Computing/Mathematical Modelling. We seek candidates who are willing and able to work with colleagues throughout the School of Engineering & Applied Science in applying mathematics to the understanding MATH SCI PRESS, 53 Jordan Rd., Brook­ of real-world phenomena, especially to those SWITZERLAND problems that arise in modern technology. That line, MA 02146; 617-738-0307. Constrained Mechanics and Lie Theory and Geometric is, we seek candidates who demonstrate an UNIVERSITY OF LAUSANNE interest in and potential for mathematical mod­ Structures in Nonlinear Physics, both by R. elling and the development and application of The Institute of Mathematics of the University Hermann, $95. Next: Some Geometric Ideas efficient numerical methods for predicting the of Lausanne solicits applications for a faculty of Lie, Cartan and Ehresmann. behavior of such models. Finally, we seek candi­ position at the full professor level (professeur dates with a strong commitment to the education ordinaire) available from September 1, 1993. of both undergraduates and graduates within The appointee is expected to give courses an environment dedicated to engineering and to students in mathematics mainly in complex applied science. analysis and measure theory. Teaching is in Please send resume and supporting materi- French. Applicants are expected to have an als to: outstanding research record in pure mathemat­ PUBLICATIONS WANTE Chair of the Search Committee ics. The department's research interests include Department of Applied Mathematics analysis on groups, algebraic topology, algebra Thornton Hall and geometry. Wanted: Mathematical books, journals, reprints, University of Virginia Further information may be obtained from ephemera. Contact R. K. Dennis, Math. Dept., Charlottesville, VA 22903-2442 prof. H. Joris (+41) 21 692 20 43, or prof. M. White Hall, Cornell U., Ithaca, NY 14853-7901. The University of Virginia does not discrim­ Ojanguren 692 20 36, I nstitut de Mathematiques, Tel: 607-255-4027, FAX: 607-255-7149. e-mail: inate on the basis of race, creed, gender, or College Propedeutique, Universite de Lau­ dennis@ math.cornell.edu physical disability. Applications from underrep­ sanne, CH-1015 Lausanne. resented minorities are especially encouraged. Applications with list of publications, cur­ riculum vitae, and addresses (e-mail, fax) should be sent to prof. Claude Joseph, Uni-

MAY/JUNE 1993, VOLUME 40, NUMBER 5 541 ------~...... ______MATHEMATICAL REVIEWS ASSOCIATE EDITOR-HALF-TIME

Applications and recommendations are invited for a one- or two-year half-time appointment as an Associate Editor of Mathematical Reviews (MR), to commence in September 1993. In particular applications will be welcome from persons taking a sabbatical leave. The salary is negotiable and will be commensurate with the experience the applicant brings to the position.

The MR office of the American Mathematical Society is located in Ann Arbor, Michigan, close to the campus of the University of Michigan. The editors, although employees of the AMS, enjoy many privileges at the University. At present MR employs twelve mathematical editors, several consultants, and over sixty nonmathematicians. It produces Mathematical Reviews, Current Mathematical Publica­ tions, various indexes, the on-line service MathSci, and MathSci Disc. The responsibilities of an Associate Editor fall primarily in the day-to-day o~erations of selecting articles and books suitable for review, classifying these items, assigning them to reviewers, editing the reviews when they are returned, and correcting the galley proof. An individual with considerable breadth in pure or applied mathematics is sought, and preference will be given to those applicants with expertise in partial differential equations and/or numerical analysis. The ability to write good English is essential and the ability to read mathematics in major foreign languages is important.

Applications including curriculum vitae, bibliography, and names and addresses of at least three references should be sent to

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FUNDAMENTALS LOOP SPACES, CHARACTERISTIC CLASSES OF THE THEORY OF AND GEOMETRIC QUANTIZATION OPERATOR ALGEBRAS J.-L. Brylinski, The Penn State University, University Park, PA SPECIAL TOPICS Chern-Wei! theory of characteristic classes of gerbes. It also R.V. Kadison, University of Pennsylva­ This book develops the gives the construction of a holomorphic line bundle over the space of singular knots nia, Philadelphia, PA & J.R. Ringrose, discusses the Kahler structure of this space of knots. University of Newcastle, Newcastle upon in a smooth 3-manifold, and Introduction • Complexes of Sheaves and Their Cohomology • Line Tyne, UK (Eds.) 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%e Institute is committe££ to tfie princip[es of'Equa{ Opportunity ana J'Lffirmative J'Lction. RESEARCH PROFESSORSHIPS AT THE MATHEMATICAL SCIENCES RESEARCH INSTITUTE 1000 CENTENNIAL DRWE, BERKELEY, CALIFORNIA 94720

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The Journal of Engineering Mathematics promotes the Selected papers: The connection between Ekman and application of mathematics to physical problems, particu­ Stewartson layers for a rotating disk, A. I. van de Vooren • larly in the general area of engineering science. It also Mathematical modelling of chemical clock reactions, J. emphasizes the intrinsic unity, through mathematics, of the Billingham and D.J. Needham • On boundary-layer transi­ fundamental problems of applied and engineering science. tion in transonic flow, R.I. Bowles and F.T. Smith • Scatter­ ing of water waves by axisymmetric bodies in a channel, P. The Journal of Engineering Mathematics is abstracted/ Mciver and G.S. Bennett • A two-dimensional bubble near a indexed in Applied Mechanics Reviews, Current Contents, free surface, J.M. Boulton-Stone • The use of fraction Inspec Science Abstracts, Mathemo.tical Reviews, Mechan­ exponential creep kernels for longterm behavior of laterally ics Contents, and Zentralblattfur Mathemo.tik/Mathemo.tics loaded piles in permafrost, A. Foriero and B. Ladanyi Abstracts/MATH database.

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International Press Company Presents: International Press Company Presents: Communications in Analysis and Geometry Chern, A Great Geometer Editor-in-Chief: Peter Li, Univ. California, Irvine Editor: Shing-Tung Yau Editors: C. Gordon, K. Uhlenbeck, T. Wolff, This book is a presentation by distinguished R. Friedman, R. Schoen mathematicians and physicists on their personal relationship with the world famous mathemati­ This journal publishes high quality papers on cian S.S. Chern. It includes a biography and a subjects related to classical analysis, partial differen­ comment by Chern himself. Historically interest­ tial equations, algebraic geometry, differential geometry, and topology. There will be four issues ing photographs are included. published annually. To prevent a backlog, the Discount Price $20 360 pp. ISBN 962-7670-02-2 publisher may occasionally increase the number of Mathematical Physics Series, Vol. 1 pages for each issue. Accepted papers will appear General Editor: Elliott Lieb, Princeton University within three months of their acceptance. Essays on Mirror Manifolds Selected Contributors to the JanUllry 1993 issue: Editor: Shing-Tung Yau 0. Filho, S. X. He, B. Rodin, R. C. Penner, S. Chang, As part of our series in mathematical physics, this S. Y. Cheng, R. Hamilton volume is a collection of excellent papers by distinguished mathematicians and theoretical Subscriptions: Institutions/Libraries $160.00 physicists. It contains both introductory discus­ Individuals $75.00 sions on the theory of mirror manifolds as well as papers describing more recent results. To Order. contact: Elizabeth Johnstone Discount Price $20 512 pp. ISBN 962-7670-01-4 International Press P.O. Box 2872 To Order: Elizabeth Johnstone, International Press Co. Cambridge, MA 02238-2872 P.O. Box 2872, Cambridge, MA 02238-2872 Application for Membership 1993 AMERICAN MATHEMATICAL SOCIETY (January-December) Date ...... 19 ......

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Fasten PAYMENT securely Preregistration/Hotel Form, Vancouver, Canada International Joint Mathematics Meetings August 15-19, 1993 Based on form of payment, please complete this form and return to:

In U.S. Funds: Mathematics Meetings Service Bureau {MMSB) In Canadian Funds: CMS Executive Office P. 0. Box 6887 577 King Edward, Suite 109 Providence, Rhode Island 02940 U.S.A. P. 0. Box 450, Station A 401-455-4143 Ottawa, Ontario, Canada K1N 6N5 613-564-2223

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Minicourse Number and Name Organized by Fee 1. The Fibonacci and Catalan numbers Ralph P. Grimaldi US$36

2. Teaching applied mathematics via Maple Robert J. Lopez US$45

3. Environmental modeling via the qualitative, visual, and computational B. A. Fusaro US$45

4. Implementing the Harvard calculus curriculum Wayne Raskind US$45

5. Teaching finite mathematics to a large class of arts and education students J. Chris Fisher US$45

6. Combinatorial design theory Eric Mendelsohn US$36

7. Lagrange multipliers Edward J. Barbeau, Jr. US$36

8. Earth algebra: College algebra with applications to environmental issues Christopher Schaufele & Nancy E. Zumoff US$36

9. Round-robin tournaments: an introduction John W. Moon US$45

10. Iteration Ronald J. Lancaster US$36

11. Learning abstract algebra by programming in ISETL Ed Dubinsky & Rina Zazkis US$45 n I plan on preregistering for the Vancouver, Canada meetings ONLY in order to attend the MAA Minicourse(s) indicated above. It is my understanding tlia.t, should the course(s) of my choice be filled, a full refund of the Vancouver meetings preregistration fee will be made. TRANSLATIONS OF MATHEMATICAL MONOGRAPHS

Nonlinear Poisson Brackets. Geometry and Quantization M. V. Karasev and V. P. Maslov Volume 119

This book deals with two old mathematical problems. The first is the problem of constructing an analog of a Lie group for general nonlinear Poisson brackets. The second is the quantization problem for such brackets in the semiclassical approximation (which is the problem of exact quantization for the simplest classes of brackets). The authors' main goal is to describe in detail the new objects that appear in the solution of these problems. Many ideas of algebra, modem differential geometry, algebraic topology, and operator theory are synthesized here. The authors prove all statements in detail, thus making the book accessible to graduate students.

1991 Mathematics Subject Classification: 58, 81; 16 ISBN 0-8218-45%-9, 366 pages (hardcover), April 1993 Individual member $102, List price $170, Institutional member $136 To order, please specify MMON0/119NA

Gaussian Processes Takeyuki Hida and Masuyuki Hitsuda Volume 120

Aimed at students and researchers in mathematics, communications engineering, and economics, this book describes the probabilistic structure of a Gaussian process in terms of its canonical representation (or its innovation process). Multiple Markov properties of a Gaussian process and equivalence problems of Gaussian processes are clearly presented. The authors' approach is unique, involving causality in time evolution and information-theoretic aspects. Because the book is self-contained and only requires background in the fundamentals of probability theory and measure theory, it would be suitable as a textbook at the senior undergraduate or graduate level.

1991 Mathematics Subject Classification: 60 ISBN 0-8218-4568-3, 183 pages (hardcover), April 1993 Individual member $59, List price $99, Institutional member $79 To order, please specify MMON0/120NA

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Volume 1 The General Topology of Dynamical Systems Ethan Akin

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The computational Third Edition cooperative and non-cooperatiye games, methods are presented so that graduate S. GALLOT, Universite de Savoie, D. HULIN, fuzzy games, etc. students and researchers can readily learn Ecole Polytechnique, Centre de Mathe­ Topics covered include: the founda­ to use them. Many of the topics are pre­ matiques, Unite de Recherche du CNRS, tions of optimization theory and mathe­ sented in a novel way, with an exposition J. LAFONTAINE, Universite des Sciences et of the applications followed by a devel­ Techniques du Languedoc, all of France matical programming, convex and nonsmooth analysis, nonlinear analysis opment of the underlying theory. Explicit RIEMANNIAN GEOMETRY presented game-theoretically and in the examples and new theoretical develop­ ments are included at the end of each This book, based on a graduate course on framework of set valued analysis. Results are applied to the main classes of eco­ chapter. 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