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 cl America and the American Mathematical Society. Abstracts of papers be presented at the meeting must be recalved at the headquarters of the Society in presented at a meeting of the Society are published in the joumal Abstracts of papers Providence, Rhode Island, on or before the deadline given below for the meeting. Note presented to the American Mathematical Society I~ th~ issue co~respon_dlng to that of that the deadline for abstracts for consideration for presentation at special sessions is the Notices which contains the program of the maeting, msofar as IS possible. Abstracts usually three weeks earlier than that specified below.

Meetings -----·-----

Abstract Program Meeting# Date Place Deadline Issue 880 * April9-10, 1993 Salt Lake City, Utah Expired April 881 * April17-18, 1993 Washington, D.C. Expired April 882 * May 2Q-23, 1993 DeKalb, Illinois Expired May-June 883 * August 15-19, 1993 (96th Summer Meeting) Vancouver, British Columbia May18 July-August (Joint Meeting with the Canadian Mathematical Society) 884 * September 18-19, 1993 Syracuse, New York May18 September 885 * October 1-3, 1993 Heidelberg, Germany May18 September (Joint Meeting with the Deutsche Mathematiker-Vereinigung e.V.) 886 * October 22-23, 1993 College Station, Texas August4 October 887 * November6-7,1993 Claremont, California August4 October January 12-15, 1994 (100th Annual Meeting) Cincinnati, Ohio October1 December March 18-19, 1994 · Lexington, Kentucky March 25-26, 1994 Manhattan, Kansas April 9-1 0, 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 March 24-25, 1995 Chicago, Illinois November 3-4, 1995 Kent, Ohio January 1Q-13, 1996 (102nd Annual Meeting) Orlando, Florida March 22-23, 1996 Iowa City, Iowa *Please refer to page 267 for listing of Special Sessions. Conferences

June 7-18, 1993: ~5-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 Ufe Cycles, UniVersity of British Co!umbia, Vancouver, Canada. Snowbird, Utah. July 1Q-August 6, 1993: Joint summer Research Conferences in the Mathematical Sciences, UniVersity of Washington, Seattle, Washington. Other Events Cosponsored by the Society ·-~------····--·-·-··--·-

May 3Q-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 NetworlaJ, 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

May-June Issue July-A~ust Issue September Issue October Issue Classified Ads• April 1, 1993 June 24, 1993 July 29, 1993 • September 2, 1993 · News Items March 19, 1993 June 8, 1993 July 15, 1993 August 20, 1993 Meeting Announ~ments** March 23, 1993 June 14, 1993 July 19, 1993 August 20, 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 219 Letters to the Editor 243 News and Announcements 221. 1992 Steele Prizes 247 Meetings and Conferences of The 1992 Steele Prizes were awarded at the Joint Mathematics Meetings in theAMS San Antonio to Jacques Dixmier for expository writing, to James Glimm for Knoxville, TN research work of fundamental importance, and to Peter 0. Lax for the career March 26-27, 247 award. Salt Lake City, UT April 9-10, 259 226 1993 Award for Distinguished Public Service Washington, DC Apri/17-18, 262 The third Award for Distinguished Public Service was presented at the Joint DeKalb,IL Mathematics Meetings in San Antonio to I. M. Singer of the Massachusetts May 20-23, 265 Institute of Technology in recognition of his outstanding contributions to his Invited Speakers and Special profession, to science more broadly, and to the public good. Sessions, 267 1993 Summer Seminar in Applied 229 1be 1993 Ruth Lyttle Satter Prize Mathematics, 271 the 1993 Ruth Lyttle Satter Prize in Mathematics was awarded at the Joint 1993 Summer Research Institute, Mathematics Meetings in San Antonio to. Lai-Sang Young for her work on 272 statistical (or ergodic) properties of dynamical systems. 1993 Symposium on Some Mathematical Questions in Biology, 273 231 Joint Mathematics Meetings In San Antonio 1993 Symposium, Mathematics of The January Joint Mathematics Meetings in San Antonio featured. some Computation, 274 excellent mathematical talks and lively social In addition, were events. many 275 Mathematical Sciences Meetings discussing the bleak job market and the recommendations of the Council and Conferences and the MAA Board of Govemors to move the 1995 Joint Meetings from Denver. Allyn Jackson describes some of the main events. 288 New Publications Offered by the AMS 294 AMS Reports and FEATURE COLUMNS· Communications Recent Appointments, 294 236 Computers and Mathematics Keith Devlin 297 New Members of the AMS Two reviews make up this month's column. Ira Gessel looks at the 300 Classified Advertising Macintosh version of Maple V, and Marvin Margolis reports on the Student Edition of Mlnitab. · 311 Forms

242 Inside the AMS A description of the AMS' Sponsored Membership Program is provided, along with some information about a new reciprocity agreement with the Union of Bulgarian Mathematicians.

MARCH 1993, VOLUME 40, NUMBER 3 217 -·-···-··············-·····--·------r------,--

From the Executive Director ...

PUBLISHING ROLE If one attempts to capture, in a single phras~. the activities of the Society, AMERICAN MATHEMATICAL SOCIETY it might be "communicating mathematics". This is done primarily through the publishing of mathematical books and journals. Indeed, publishing accounts for approximately 70%, in fiscal terms, of all Society activities, and the AMS is one of a small number of scholarly publishers that maintains a complete in-house publishing operation: editing, design and art work, composition, typesetting, EDITORIAL COMMmEE printing, warehousing, and distribution. A major part of the remaining activities Michael G. Crandall of the Society also comes under the general rubric of"communicating mathemat­ Amassa Fauntleroy Robert M. Fossum (Chairman) ics". These activities include holding meetings and conferences, advocating for Carolyn S. Gordon (Forum Editor) mathematics, and promoting public awareness and understanding of mathemat­ D. J. Lewis ics. All of these activities connect to varying degrees with publishing. Meetings L. Ridgway Scott (Letters Editor) and conferences generate abstracts and proceedings, advocacy generates position Robert E. L. Turner papers and reports, and attempts to raise public awareness and understanding of made MANAGING EDITOR mathematics are often through published material. To carry out the mission John S. Bradley of the Society, to achieve its goals, and to communicate mathematics, the AMS has a major publishing role. ASSOCIATE EDITORS Currently, the Society is undertaking a major effort to broaden and enhance its Jeffrey C. Lagarias, Special Articles role as a publisher, positioning itself to respond to change and to be the publisher of choice for mathematics. While there is little option but to meet change, the SUBSCRIPTION INFORMATION path to achieving this, and to broadening and enhancing the Society's role as a Subscription prices for Volume 40 (1993) are $139 list; $111 institutional member; $83 lndMd­ publisher, is not clearly marked, and its discovery presents many challenges. ual member. {The subscription price for members The growth in published material and available information is phenomenal; is included in the annual dues.) A late charge of some estimates are that, as individuals, we now have available to us over thirty 10% of the subscription price will be imposed upon orders received from nonmembers after January 1 times the amount of information that we had less than a decade ago. Electronic of the subscription year. Add for postage: Surface communication is rapidly changing the way we communicate and our expecta­ delivery outside the United States and lndla-$15; tions for the delivery of information. At the same time, costs of publications are to lndia--$28; expedited delivery to destinations in soaring while library budgets shrink and storage space disappears. The library North America-$32; elsewhere-$67. Subscrip­ community that just recently wanted to enlarge its collections is now turning tions and orders for AMS publications should be addressed to the American Mathematical Society, away from collections and seeking means for economical and efficient access to P.O. Box 1571, Annex Station, Providence, Rl information. In this changing environment, what is the role of the publisher in 02901-1571. All orders must be prepsid. communicating mathematics in the future? The publisher of mathematical literature performs numerous steps, each pro­ ADVERTISING viding opportunities to add value to the process. A publisher organizes editorial Notices publishes situations wanted and classified advertising, and display advertising for publishers boards through which incoming material is screened and refereed, providing and academic or scientific organizations. both legitimacy and selectivity to mathematical literature. The publisher's edi­ Copyright @ 1993 by the American Mathematical torial process adds value in language use and style, consistency of presentatiop, Society. All rights reserved. Printed in the United and control of error. The composition process and the composition language States of America. (for the AMS, 'lEX) add style and clarity to the printed page and are becom­ The paper used In this journal is acld-free and falls ing increasingly important as a factor in the electronic portability of material. within the guidelines established to ensure perma­ High-resolution typesetting enables aesthetic and effective presentation on the nence and durability. §Most of this publication printed page. Publishers widen the dissemination of literature through their mar­ was typeset using the TEX typesetting system. keting, promotions, and distribution systems. They also help to organize the entire [Notices of the American Mathematical Society is publishing process and make accessible the available literature. published monthly except bimonthly in May, June, July, and August by the American Mathematical So­ Each of these steps has a cost, and the differences we notice among various ciety at 201 Charles Street, Providence, Rl 02904- publications are directly related to the emphasis on these different steps. Which 2213. Second class postage paid at Providence, steps are indispensable, which are cost-effective, and which add cos!jn excess Rl and additional mailing offices. POSTMASTER: of value? To enhance the Society's publishing activities and to J:ffiilfe the AMS Send address change notices to Notices of the American Mathematical Society, Customer Service the publisher of choice, these questions must be answered. The AMS is looking Depsrtment, American Mathematical Society, P. 0. at its current policies and procedures to better understand where the Society, as Box 6248, Providence, Rl 02940-6248.] Publica­ a publisher, adds value and where the value added does not justify the cost. The tion here of the Society's street address, and the future of publishing brings quite a challenge, and the AMS hopes to provide other Information .in brackets above, is a technical leadership for this challenge of communicating mathematics. requirement of the U. S. Postal Service. All corre­ spondence should be mailed to the Post Office Box, NOT the street address. Tel: 401-455-4000. William Jaco

218 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY but can handle any written material. This in a U.S. federal prison. In 1954 it had Letters alternative is facsimile (FAX) transmis­ cost him his job, in 1952 his passport. sion. Of course, fax usage costs money By 1962 he had to emigrate, as others to the Editor (the price of a telephone call) while e­ before and since, to find work. mail is free, but I can think of no better To this day, Professor Davis remains illustration than this of the maxim "You stigmatized in U.S. government records get what you pay for." as a convicted criminal for his refusal E-mail (In this regard I'd like to encourage to inform the House Committee on Un­ For several reasons I am not a fan of e­ individuals and departments to list their American Activities (what a concept) as mail, but I sometimes find myself forced fax numbers in the Combined Member­ to what political affiliations he might to use it. In doing so I have noticed a ship List.) or might not have had. Despite requests number of prevalent practices which to Steven H. Weintraub from the AMS, U.S. authorities have me represent extreme rudeness. I would Louisiana State University failed to decriminalize him. like to urge my colleagues to exercise (Received September 14, 1992) Others, like Louis Weisner (cf. No­ common courtesy and remedy these. tices, volume 35, 1988, page 1117 and 1. When writing letters, we are all page 967), who did state publicly their careful to proofread them. E-mail Those Were the Days present or past political affiliations, were messages, however, often are sent Professor I. R. Shafarevich seems de­ dismissed and driven from the U.S. for full of (glaring) typographical er­ termined to offset his deservedly posi­ refusing to name others. rors. They should be proofread as tive world-wide reputation as a partic­ Some were driven to suicide. A dis­ carefully as letters. (To be sure, the ularly outstanding scientist by gaining tinguished cancer researcher, Dr. Sher­ easiest way to send e-mail mes­ an equally well deserved, but entirely wood, was employed on grant money at sages is to issue them one line at a negative, world-wide reputation as a so­ the Stanford University medical school. time, whereupon they are collected cial commentator. He is not the first Subpoenaed by that notorious Congres­ into a buffer, with no possibility to set and achieve such goals. I would sional committee, he was well aware of correcting a line once it is com­ not wish to exaggerate his importance that in the atmosphere then prevailing, plete. But it is only slightly more for the growing and widespread world his research funds (and scientific oppor­ difficult to create the message as problems of nationalism, national ex­ tunities) would come to a quick end. In clusivism, or racism, but neither can I a file, whereupon it can then be despair, he took his own life. Congress­ counsel silence. I hope that those moved corrected in its entirety, and sent man Walters, Committee Chair, would to action by his outpourings will remain thereafter. To use the first method not allow his widow to enter a statement . to address world-wide sores. rather than the second is to save into the Committee records. Instead, he yourself ·a small amount of time at His letter volume 39, 1992, (Notices, mocked her late husband as a coward. page 683) defines his societal objectives the expense of sending someone Walters died a few years later-from as a Soviet dissident solely in terms of else a mess-a perfect example of cancer. rudeness.) freedom of speech and thought. (Noth­ The list is long, the consequences 2. In writing someone a letter, I don't ing about freedom from racism, anti­ humiliating and intimidating. Professor think any of us would dream of Semitism, sexism, homophobia, unem­ including a copy of a letter we had ployment, poverty, burdensome arma­ ments, or the like. Nothing about health Letters to the Editor received from a third party, with­ Letters submitted for publication in the Notices out asking that party's permission care, day care, or any social net.) are reviewed by the Editorial Committee. first. Yet it is not un¢ommon for He is, of course, entitled to define The Notices does not ordinarily publish com­ people to send e-mail. messages his objectives as broadly or as narrowly plaints about reviews of books or articles, al­ though rebuttals and correspondence concerning which include the text. of e-mail as he wishes. This done, he offers the reviews in Bulletin ofthe American Mathematical they have received, witliout first U.S. of the cold war era as his model of Society will be considered for publication. having asked the sender for per­ "a society where speech and thought are Letters should be typed and in legible form or mission. This is a serious breach free." This distorts history and mocks they will be returned to the sender, possibly re­ sulting in a delay of publication. All published let­ of confidence. Don't do it. those who suffered in that period. ·ters must include the name of the author. Letters I've said I'm not a fan of e-mail. "Speech is not free if it costs people which have been, or may be, published elsewhere Let me suggest an alternative method of their jobs," as Henry A. Wallace, former will be considered, but the Managing Editor of the Notices should be informed of this fact when the rapid communication, which is not only U.S. Vice President, stressed in protest letter is submitted. far more reliable (actually, e-mail is the against the dismissals of large numbers The committee reserves the right to edit let­ most unreliable method of communica­ of his supporters in the 1948 Presidential ters. tion I know, and this is my principal, election campaign. Letters should be mailed to the Editor of the Notices, American Mathematical Society, P. 0. though not my only, objection to it) but In 1960 it cost Chandler Davis, cur­ Box 6248, Providence, RI 02940, or sent by e­ also infinitely more versatile, in that it is rently Vice President of the American mail to [email protected], and will be ac­ not restricted to handling typed matter, Mathematical Society, several months knowledged on receipt.

·-·-······--···-···-············--···-···············--····-························-·-··············--·--·-·-······------·····················································································································--····-···········--- MARCH 1993, VOLUME 40, NUMBER 3 219 1992 Steele Prizes

Three Leroy P. Steele Prizes were awarded at the Joint Mathematics Meetings in San Antonio, Texas. The Steele Prizes are made possible by a bequest to the Society by Mr. Steele, a graduate of Harvard College, Class of 1923, in memory of George David Birkhoff, William Fogg Osgood, and William Caspar Graustein. Three Steele Prizes are awarded each year: One for expository mathematical writing, one for a research paper of fundamental and lasting importance, and one in recognition of cumulative influence extending over a career, including the education of doctoral students. The current award is $4000 in each of these categories. Traditionally, the Steele Prizes have been awarded each year at the AMS Summer Meeting. Because there was no summer meeting in 1992, they were awarded at the following winter meeting. The recipients of the Steele Prizes for 1992 are JACQUES DIXMIER for the expository award; JAMES GLIMM for research work of fundamental importance; and PETER D. LAX for the career award. The prizes were presented at the AMS-MAA Prize Session on January 15, 1993, at the Joint Mathematics Meetings in San Antonio. The Steele Prizes are awarded by the Council of the Society, acting through a selection Committee whose members at the time of these selections were Sylvain E. Cappell, Alexandre J. Chorin, William J. Haboush, Arthur M. Jaffe, Vaughan F. R. Jones, Harry Kesten, Joseph J. Kohn, George Lusztig, Mark Mahowald (chair), Jane Cronin Scanlon, and Jean E. Taylor. The text that follows contains the Committee's citations for each award, the recipients' responses, and a brief biographical Jacques Dixmier (Photo courtesy of Maurice Rougemont.) sketch of each recipient. The biographical sketches were written by the recipients or were· based on information provided by them. "Rings of Operators" were introduced by F. Murray and J. von Neumann in a series of papers from 1936 to 1943. They Jacques Dixmier are *-closed algebras of bounded operators in a Hilbert space closed in the topology of pointwise convergence. But until Citation the appearance of Dixmier's von Neumann Algebras, in 1956, The Steele Prize for expository writing in mathematics the Murray-von Neumann papers remained the only source recognizes this year the extraordinary books, von Neumann work on the subject. Because of the rather forbidding nature Algebras, C*-Algebras, and Enveloping Algebras by Jacques of these papers the material remained difficult and mysterious. Dixmier. All three were first written in French and then Everything was changed by Dixmier's book, which allowed translated into English because of the great demand. for a smooth and systematic introduction to the subject and

MARCH 1993, VOLUME 40, NUMBER 3 221 1992 Steele Prizes access to the most advanced material. It also cleared up almost of the relevant authorities (in order not to be sued, I prefer all of the foundational questions and, incidentally, gave the to give no examples). Well, my book was the first book on name ''von Neumann algebras" to what had previously been the subject, and that has advantages and disadvantages: a first called ''rings of operators". The book became the bible for book has to create some traditions; a second, a third book, etc., workers in the subject and remained this way through many have to circumvent them. When writing my book, I had, as far years and editions. It is still one of the best introductions for as I remember, the following main objectives. 1) The key idea beginners. of the Murray-von Neumann classification was the dimension The subject of C* -algebras (closure in norm topology function, and then a very difficult proof constructed the traces rather than pointwise convergence) developed alongside von from the dimensions. Now, in the main examples, the traces Neumann algebras, and Dixm.ier's book was once again could be obtained directly. So I decided to make the traces fundamental. Results of Glimm showed that there is a beautiful the main characters of the play and to push back the "difficult class of C* -algebras whose representation theory is smoothly proor' to the very end (with some simplifications, obtained parametrizable. An axiomatic development of C* -algebras simultaneously and independently by R. V. Kadison and me: (independent of any particular Hilbert space representation) in fact, the whole thing had been made very simple by F. had also been perfected by Gelfand, Naimark, and others. J. Yeadon in 1971). 2) The construction, by von Neumann, Applications of both the philosophy and the results were of type ill factors seemed at the time quite formidable. But, appearing in group representation theory. Dixmier's book put without any new idea, a careful presentation made the thing all this together in a unified and accessible form. relatively easy. 3) It was already clear that the notion of In the early 1960s physicists became interested in operator Hilbert algebra was useful in the theory; I tried to use it as algebras as an abstract framework for quantum field theory, often as possible. 4) Although I realize that, by now, I take and the two books ofDixm.ier were indispensable for the work serious risks in saying so, I tried to make a Bourbaki expos~ of Haag, Kastler, Araki, and others in algebraic quantum field of the subject. theory and quantum statistical mechanics. In the introduction of my book about C* -algebras in The book Enveloping Algebras is about a different subject. 1964, I said that the theory of von Neumann algebras had The study of representations of a group can be converted to reached a stable state; and I repeated this statement in 1969 a study of representations of associative algebras, and in the for the second edition. Now, rather ironically, I saw the theory case of a Lie group the relevant algebra is the enveloping exploding under my eyes at the beginning of the 1970s, associative algebra of the lie algebra. It carries a Hopf algebra because I was the (again very lucky) thesis advisor of a structure coming from the tensor product of representations. young student named Alain Connes. When my book was Dixmier's book gives the first systematic exposition of this translated into English in 1981, Professor E. C. Lance was point of view which gives, for instance, the natural context kind enough to write a preface giving, without proof, some of for the important Casimir operators as elements of the center the revolutionary recent developments. of the enveloping algebra. The idea of studying a group via I still often receive letters from colleagues asking for Hopf algebras is very much in fashion these days with the information concerning operator algebras. But, in fact, I have advent of quantum groups where the concepts exposed in not worked on the subject for twenty years, and I don't Dixmier's book are now the only way to talk correctly about understand the theory any more. Well, I suppose that such a familiar ideas from group representation theory. The book situation frequently occurs when one grows old. also contains an extremely elegant exposition of the theory of semisimple Lie algebras. Biographical Sketch As well as these research-oriented textbooks, Dixmier has Born in 1924, Dixmier was a student at Ecole Normale written many texts at the graduate and undergraduate level Su¢rieure from 1942 to 1946; Maftre de Conferences at which enjoy the same clarity and conciseness of exposition as the Universities of Toulouse (1947-1949) and Dijon (1949- the three works mentioned above. 1955); Maftre de Conferences and later Professeur at the University of Paris (Paris VI since 1969) (1955-1984); and Response invited guest at the lnstitut des Hautes Etudes Scientifiques I felt extraordinarily honored when I heard that I was awarded (1984-1988). He spent a sabbatical leave in 1966-1967 as a the Steele Prize. Thanks to the AMS I professor at Tulane University. To make things shorter, I'll restrict my answer to comments concerning my book on von Neumann algebras. First, I must James Glimm say that I slightly disagree when the citation talks about ''the rather forbidding nature" of the Murray-von Neumann papers. Citation On the contrary, I think that I was really lucky at the beginning To James Glimm for his ground-breaking paper, "Solution of my career; the Murray-von Neumann papers are in fact in the large for nonlinear hyperbolic systems of conservation written very carefully and very clearly. I cannot imagine what laws," Communications on Pure and Applied Mathematics, would have hapPened to me had I chosen some other subjects, XVIII, (1965) 697-715. This paper contains the first proof very important for sure, but for which the introduction was not of global existence of solutions for this extremely important made easy for beginners by the haughty or secretive manners class of equations, where classical tools of functional analysis

222 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY 1992 Steele Prizes fail because the solutions are typically discontinuous. Even is being awarded is a landmark in the theory of partial today, Glimm's method of proof is the only one that yields differential equations, as well as in their applications, existence in the general case of systems without Riemann and a true masterpiece of hard analysis. invariants. Response It was Peter Lax who taught me the beautiful and fascinating subject of conservation laws, and I thank him for the encour­ agement he so generously gave to me and other workers in this field. Jumping a decade of history, I will add to the information in the citation by recounting a comment of van Leer's, that his development of the higher-order Godunov Methods was influenced by Chorin's proposals to use random choice methods for serious computations. Coming to the present, we find a dramatic flowering of novel phenomena and new unifying ideas for the under­ standing of Riemann solutions, i.e., scale symmetry invariant solutions of conservation laws. In addition to the mathematical depth of this body of work, an additional point should be noted. Here, pure and applied mathematics have shown the power to interpret and rewrite basic equations of engineering and physics. For example, the basic equations of three-phase flow (Stone's model) of petroleum reservoir engineering have lost favor to another set of equations (Pope's model) due in large part to studies of Riemann problems. I will conclude with the observation that the subject of conservation laws has provided an early demonstration of two trends which are currently energizing a number of areas of mathematics: the synergism to be found in joining theory with applications and theory with computations.

Biographical Sketch James Glimm was born March 24, 1934, in Peoria, lllinois. He received his A.B. (1956), A.M. (1957), and Ph.D. (1959) University. He spent the years 1959- James Glimm (Photo courtesy of Ed Bridges.) degrees from Columbia 1960 at the Institute for Advanced Study in Princeton, then Glimm's proof is of broad interest and has been very became assistant professor at the Massachusetts Institute of influential. The major problem in trying to prove existence for Technology in 1960, advancing to the rank of professor by nonlinear hyperbolic equations lies in finding strong enough 1968. From 1974 to 1982 he was professor of mathematics estimates to ensure compactness for a class of trial solutions. at Rockefeller University. He was a visiting professor at Glimm discovered that delicate estimates of wave interactions the Courant Institute of Mathematical Sciences (1980-1982) provide compactness for a class of small trial solutions. and became professor of mathematics there in 1982. He is Glimm's trial solutions were random. Later analysis, building currently a professor at the State University of New York at on Glimm's ideas, largely removed the randomness from the Stony Brook. proof, but the imaginative idea of using random trial solutions Glimm has served on several of the Society's committees, has been very fruitful. Glimm's proof is a source of inspiration including the Science Policy Committee, and has delivered for many of the recent applications of probabilistic tools in a number of invited addresses. He was a fellow of the Na­ the theory of partial differential equations. tional Science Foundation (1959-1960) and a fellow of the The results of this paper have led directly to the Lax­ Guggenheim Foundation (1964-1966). He was awarded the Glimm theory of the decay of solutions of conservation Physical and Mathematical Sciences Award of the New York laws. In addition, the ideas in the proof have been extremely Academy of Sciences in 1979 and the Heineman Prize in 1980. useful in applications. The random choice method of com­ He is a member of the National Academy of Sciences and putational fluid mechanics is a computer implementation of the American Academy of Arts and Sciences. His major re­ Glimm's construction, and various recent implementations of search interests are nonlinear differential equations, functional front tracking can be viewed as generalizations of his wave analysis, operators on Hilbert space, mathematical physics, analysis. The concise and elegant paper for which the prize quantum field theory, and computational fluid dynamics.

MARCH 1993, VOLUME 40, NUMBER 3 223 ~- ·· ·· ··---~------.------r------1992 Steele Prizes

Peter D. Lax formation and decay of shock waves. Lax's analysis of complete integrability produced the celebrated method of Lax Citation pairs, a wonderfully flexible tool for producing completely To Peter D. Lax for .his numerous and fundamental contribu­ integrable systems. In addition, Lax and Levermore have given tions to the theory and applications of linear and nonlinear rigorous results on the small dispersion limit and, in his study partial differential equations and functional analysis, for his of dispersive approximations to hyperbolic equations, brought leadership in the development of computational and applied forward illuminating analogies with the closure problem of mathematics, and for his extraordinary impact as a teacher. turbulence. Lax's work encompasses the approximation as well as the theory of partial differential equations and has thereby had a major impact on developments in many fields of science. The Lax-Wendroff scheme is the starting point of the modern computational methodology for solving hyperbolic systems. The Lax equivalence theorem is the key observation on the relation between boundedness and convergence. Many important results on the stability of approximations are due to Lax, as is the basic theorem that affirms the possibility of ·approximating ergodic mappings. Lax's contribution to mathematics has been magnified by his Ph.D. students, of whom he has had more than fifty, and by the numerous young mathematicians, in many countries, whom he has influenced by example, by the vistas he has opened, and by kind and timely suggestions. His lecture notes on hyperbolic equations and on shock waves and his book (with R. Phillips) on scattering have been exceptionally influential. The mathematical community and science at large have greatly benefited from his service as Director of the Courant Institute, President of the AMS, member of innumerable panels and advisory bodies, and tireless and farsighted advocate of scientific computing and modern methods of problem solving. In summary, Lax is, and has been for four decades, one of the major forces in mathematics. His achievements in a broad spectrum of topics are characterized by rare elegance and insight. His influence on mathematics and science is enormous.

Response Many thanks for the kind words and for this honor that eases my passage into becoming what Americans kindly call an Peter D. Lax (Photo courtesy of NYU/ L. Pellettieri photo.) old-timer, and whom the French describe more frankly as "un Lax's contribution to partial differential equations is of viellard". exceptional breadth and significance. His pioneering work From the very beginning, my way into mathematics was on singular integral operators and problems with oscillatory guided by helping hands. My parents, both prominent physi­ initial data has marked indelibly the development of pseu­ cians, didn't press me to become a doctor, but wholeheartedly dodifferential and Fourier integral operators; his work with supported the choice of a mathematical career. My first teacher Phillips on scattering theory gave new perspectives to that was my uncle, a distinguished electrical engineer, who in 1916 field and led, in particular, to beautiful new results in harmonic had won the Eotv()s competition in mathematics. The Hungar­ analysis. ian community, always on the lookout for talented youngsters, In the nonlinear realm, Lax has been a leader in the theory took over. I was tutored by the outstanding logician and of nonlinear hyperbolic equations and shock waves; his work pedagogue R6sza P6ter and given problems to solve by Paul includes incisive contributions to the Riemann problem for Turan and later by Paul Erd6s. When the time came for my systems of hyperbolic conservation laws, the formulation of family to flee to America at the end of 1941, Denes K6nig, the the Lax shock conditions, and a study of the role of entropy creator of graph theory, wrote to von Neumann asking him to in shock theory. His work on Riemann problems influenced look out for me, which he did. Added to the good fortune of Glimm's work on global solutions to nonlinear hyperbolic getting to America, I got into Stuyvesant High School, and systems, which was continued in the Glimm-Lax work on I basked in the stimulation and companionship of members

------224 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY 1992 Steele Prizes

of the math club and math team of 1942-1943. Two of their and studying new mathematical phenomena. members, Rolf Landauer and Marshall Rosenbluth, became leading scientists. Biographical Sketch I was taken into the Army in 1944; after basic training, Lax was born on May 1, 1926, in Hungary. He received his I was sent to study engineering at Texas A&M (I have had Ph.D. in 1949 from New York University, where he became a warm spot in my heart for Texas ever since) and then to assistant professor in 1951 and full professor in 1958. In 1963, the Los·· Alamos National Laboratory. I took a staff position he became the Director of the ABC Computing and Applied there for a year after I got my Ph.D. in 1949 and have been Mathematics Center of the Courant Institute of Mathematical associated with them ever since. The stimulation of applied Sciences. He was Director of the Courant Institute from problems and the early introduction to computing shaped my 1972 to 1980, and at present is the Director of the Courant mathematical outlook. Mathematics and Computing Laboratory. He served in the I was fortunate to be taken under the wings of Courant and United States Army and was a staff member of the Los Friedrichs at the Courant Institute, where I spent most of my Alamos Science Laboratory in 1945 and 1950 and has been a scientific career. There I learned to look at mathematics in a frequent visitor there.' large context, although I am keenly aware of how much there Lax has assisted the Society in many professional, sci­ is that I don't know, or rather know just a little about, so that I entific, and educational tasks; he served on invitation and wish I knew more. In the early days of the Courant Institute organizing committees for summer symposia, on the com­ we were spared the external pressures of competition and mittee to select Gibbs lecturers, the committee to select the the internal pressures were softened by the fatherly attitudes Birkhoff prize winner, plus many other committees concerned of Courant and Friedrichs. That my wife is a mathematician with Society affairs. He served on the Council (1962-1964) and part of the Courant family has created common ground and the Executive Committee (1963-1964), was Vice Presi­ and enough common interests to provide agreements and dent of the Society (1970-1971), and President (1979-1980). disagreements for a lifetime. Peter Lax gave as well as received: invited addresses and I learned a great deal of analysis from Gabor Szeg6, lectures, and talks at symposia of the AMS and Summer an uncle by marriage. Because of him I frequently visited Research Institutes. He delivered the Colloquium Lectures in Stanford University, and there I had the good luck to meet and San Antonio in January 1987 and an invited address, ''The start collaborating with Ralph Phillips, one of the outstanding Flowering of Applied Mathematics," at the AMS Centennial. analysts of our time. He presented the Weyl Lectures at the Institute for Advanced I had many outstanding students who became distin­ Study in 1972 and the Hedrick Lectures of the Mathematical guished mathematicians; I bask in their friendship. Association of America (MAA) in 1973. I have always preached and practiced .changing the un­ Lax was a Fulbright Lecturer at 06ttingen in 1958 and a dergraduate curriculum in light of our modem understanding. Sloan Fellow from 1959 to 1963. He was awarded the MAA's In 1976, Anneli, Sam Burstein, and I wrote a Calculus with Chauvenet Prize in 1974, the AMS Norbert Wiener Prize Computing that contained many new ideas; therefore, I didn't in Applied Mathematics in 1975, the National Academy of expect it to become popular. Its lack of popularity, however, Sciences Prize in Applied Mathematics in 1983, the National exceeded my wildest expectations. Since these days the winds Medal of Science in 1986, and the Wolf Prize in 1987. of change are blowing, Anneli and I plan to revise it He served on the National Science Board from 1980-1986 My mathematical tastes have changed from my Hungarian where he chaired an influential panel on large-scale computing. start, although I retain a residual love for analytic function He is a member of the National Academy of Sciences, and theory, number theory, and combinatorics. In POE my taste Foreign Associate of the Acad6mie des Sciences and of the· has turned from the general to the more special. I love theory, Russian Academy of Sciences. but even more when it has ·a practical surprise hidden in it. His major areas of research interest include partial differ­ I find computing a royal road to applications and an indis­ ential equations, numerical analysis and computing, scattering pensable tool in theory as well. Above all, I enjoy finding theory, functional analysis, and fluid dynamics.

··········-········--·-············································--·-···························---·-·······························································-···········--············--·-··-·--- ·······································-·-·····-···-······-·······································-·························-··········· ···············································································--············· MARCH 1993, VOLUME 40, NUMBER 3 225 1993 Award for Distinguished Public Service

Proper recognition for mathematicians who contribute valu­ Response able service to the profession is a matter of great importance to I am honored to receive the Society's Award for Distinguished the Society. The continued growth and health of the discipline Public Service and join the company of the two previous win­ depends in large part on those individuals who contribute their ners, Ken Hoffman and Harvey Keynes, who have dedicated time to public service activities in support of mathematics. themselves to education and public service. And I am touched To provide encouragement and recognition for such service, by the gracious citation full of warmth and appreciation for the AMS Council, responding to a recommendation from my efforts on behalf of science and mathematics. the Committee on Science Policy, established the Award for Distinguished Public Service. The $4000 award is presented to a research mathematician who has made a distinguished contribution to the mathematics profession through public service during the previous five years. The 1993 Award for Distinguished Public Service was presented to I. M. SINGER of the Massachusetts Institute of Technology, on January 15, 1993, at the AMS-MAA Prize Session during the Joint Mathematics Meetings in San Antonio. The award was made by the AMS Council, acting through a selection Committee consisting of William Browder (chair), Robert M. Fossum, Kenneth M. Hoffman, John C. Polking, and David P. Roselle. The text below includes the Committee's citation, the recipient's response, and a brief biographical sketch of the recipient.

I. M. Singer

Citation The third American Mathematical Society Award for Dis­ tinguished Public Service is presented to I. M. Singer in recognition of his outstanding contributions to his profession, to science more broadly, and to the public good by bringing the best of mathematics and his own insights to bear on the activities of the National Academy of Sciences; on com­ mittees of the National Research Council, including the two so-called David Committees on the health of the mathematical sciences, and the Committee on Science, Engineering, and Public Policy; on the President's Science Advisory Council; on decisions of Congress, through testimony concerning the I. M. Singer support of mathematics and mathematical research; and on a host of critical situations over many years in which his wisdom Over the past two decades I served on several key and intervention helped gain a hearing for the problems of his committees in Washington. Those twenty years have given me community and the contributions it makes to the nation. a perspective on science policy not common in mathematical

226 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY 1993 Award for PobHc Service circles. Since the federal support for mathematical research is tried, for most science administrators, mathematics is eroding, I thought it might be useful to review some things I an afterthought. Time and again we hear "Oh yes, we have learned germane to our present plight. forgot about mathematics." I have vivid memories of my first year as a member of the n. Our internal divisiveness is not greater than in most National Academy's influential Committee on Science, En­ fields. The David Reports document that in the competition gineering, and Public Policy (COSEPUP). Chairman Harvey for funds, we do relatively poorly. Washington says that's so Brooks tried to establish a system of priorities for science; because "we haven't got our act together." The fact is that most although he failed, it was a noble effort. When I was chairman fields have considerable internal strife, not invisible, either. I also tried and failed, as has everyone since. ' We could present a more persuasive case for mathematics (see COSEPUP did succeed in getting individual disciplines below), but our lack of unity is not the cause of our lack of to begin ordering priorities in their own fields, as they support. More likely, it is because government officials think prepared reports reviewing their subject. That was not easy to short-~~; the long-term well-being of the nation is ignored, do; ultimately disciplines realized the value of priority-setting and With 1t the case for mathematics. despite the internal pain it generated. Astronomy,' for example, ill. Scientists have abdicated their role in priority-setting; has benefited by its recent presentation of a coherent research c~nsequently, Con~.ss distributes resources among disci­ program. The cooperation implicit in creating that report grew plines largely on political grounds rather than scientific merit out of the experience with priority-setting in earlier ones. or value to the country. Science still operates on the old The White House Science Council (WHSC) was even principle: each discipline presents its own case and may the more interesting because of the urgency of many of the issues ''best" case win. In practice that means merit is secondary to and problems we discussed. The Council consisted of about political clout. twelve engineers and scientists from universities and industry, Where are we? We are engaged in an intense competition giving advice to the President on topics ranging from AIDS for scarce resources. Congress, getting no coherent advice to Zoroastrianism. from little science and too much advice from big science, is On WHSC we also tried to put order in the vast disarray schizophrenic in its support of basic research. It demands that of federal support for science. It was there that we had the scientists focus on targeted research in order to increase our idea of revitalizing the Federal Coordinating Council for competitiveness (whereas it knows full well that where we Science, Engineering, and Technology (FCCSET). President can't compete, the cause is not lack of technology transfer). Bush's science advisor, D. Allan Bromley, has used FCCSET At the s~e time .it funds huge and expensive science projects, ini~atives very. effectively to support science and engineering some havmg ment, but none able to contribute to our economic projects that directly benefit the nation. The participation of well-being in the foreseeable future. The support for science mathematics in these initiatives is vital to the country and is shockingly out of balance. furnishes us with new ideas, problems, and insights. But We have no dedicated supporters among scientific admin­ because we have not come up with our own agenda, the istrators. They have a different agenda, and, as I have stressed, support for mathematics is being skewed. mathematics is invisible to them. Our own mathematics rep­ I ~njoyed COSEPUP and WHSC because they were resentatives are sorely tried. Poor souls, they must placate conumttees of extraordinary scientists and very stimulating a bitter, complaining community, many of whose members human beings grappling with difficult problems. Here I must believe support for mathematics is an entitlement program. single out Ed David on WHSC. He ·taught mathematicians They must play the game of finding funds with rules invented that it was not enough to write reports. To implement them by, and suitable for, other disciplines, not mathematics. requires concerted efforts. do? We can find other ways of validating What have I learned relevant to the problems mathematics What shaU we the importance of mathematics. It is powerful, beautiful faces in seeking resources? I would like to make three points. and We are engaged in the· noble profession of I. As a research activity it is a. stark fact that we are ~tical. invisible. teaching, applying, and expanding mathematics. The public understands its importance. That's one reason for their concern (i) A crises management government does not call upon about mathematical education. us. We don't clean up nuclear wastes and we can't cure . In the Da~d ~eports, we succeeded in describing many cancer. Important applications of mathematics. But we have never tried to explain how pervasive the fundamental ideas of (ii) In the Washington scheme of things, mathematical mathematics are in modem science and technology, indeed in research is too small a budgetary item to worry about modem life. It is time for a serious account of the intellectual and spend any time on. impact of mathematics. The country is asking us to improve mathematical ed­ (iii) Education aside, mathematics is too hard and too ucation in grades K-16. It is asking us to apply what we esoteric to generate much public interest or enthusiasm know quicker, and it wants us to remain first in the world (though I appreciate the inventive ways mathematicians in mathematical research. Despite our differences, it seems have engaged the public). As hard as many of us have to me that we can prepare a document that spells out what

--- ··········-····-·-···-·-···-······ MARCH 1993, VOLUME 40, NUMBER 3 227 1993 Award for Publlc Service it takes to accomplish these tasks, and, if the resources are professor at Columbia University from 1954 to 1955, and not there, what diminished resources, distributed in different a member of the Institute for Advanced Study, 1955-1956. ways, will and will not accomplish. He then returned to MIT, advancing from assistant professor Before such a document is prepared, we can still go to professor between 1956 and 1977. He served as visiting before Congress and talk about mathematics. There is no professor (1977-1979) and professor at the University of one to represent us, as I have tried to explain. Even without California at Berkeley and is currently Institute Professor at an orchestrated effort, each of us could have an effect. Phil MIT. Griffiths and I appeared before the House Subcommittee The Society has benefited immensely from Singer's ac­ on Veterans Affairs, Housing and Urban Development, and tivities. He served as Vice President (1970-1971) and on the Independent Agencies [which oversees the National Science Executive Committee of the Council (1975-1982). He also Foundation] last year. Afterwards, Congressman Chet Atkins served on many publication committees, chairing several, said, "Real live mathematicians. That's a first. Come again." and was an associate editor of the Bulletin (1982-1983) and And so we should! Proceedings (1957-1959). Singer was on committees to select Once more, it is a great pleasure to be recognized the Steele, BOcher, and Wiener Prize recipients, as well as the for my efforts on behalf of mathematics, particularly by a Committee on Science Policy. In addition, Singer has given selection committee so distinguished and so knowledgable invited addresses at past AMS-MAA meetings and Summer about science policy. Research Institutes and delivered the Colloquium Lectures. Nationally, he served on the White House Science Council from 1982 to 1988 and was chairman of the National Academy Biographical of Sciences Committee on Science, Engineering, and Public Singer was born on May 4, 1924, in Detroit, Michigan. He Policy (1973-1978). received a B.S. degree from the University of Michigan in Singer was a Sloan Fellow (1959-1962), a Guggenheim 1944, and an M.S. (1948) and Ph.D. from the University of Fellow (1968-1969 and 1975-1976), and was awarded the Chicago (1950). He was an instructor of mathematics at the BOcher Prize (1969), the National Medal of Science (1983), Massachusetts Institute of Technology from 1950 to 1952, and the Eugene Wigner Medal in 1988. His major research and an assistant professor at the University of California at interests are differential geometry, geometric quantum field Los Angeles from 1952 to 1954. He was visiting assistant theories, and global analysis.

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

This volume contains a number of research-expository articles that appeared in the Bulletin of the AMS between 1979 and 1984 and that address the general area of nonlinear functional analysis and global analysis and their applications. The central theme concerns qualitative methods in the study of nonlinear problems arising in applied mathematics, mathematical physics, and geometry. Since these articles first appeared, the methods and ideas they describe have been applied in an ever-widening array of applications. Readers will find this collection useful, as it brings together a range of influential papers by some of the leading researchers in the 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 BULLRFI1NA

~ 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.

228 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY 1993 Ruth Lyttle Satter Prize

The 1993 Ruth Lyttle Satter Prize in Mathematics has been A second outstanding piece of work is her joint paper awarded to LAI-SANG YouNG of the University of California with Benedicks, in which they study the statistical properties at Los Angeles and the University of Arizona. of the Henon attractor. They show that orbits from a subset The Satter Prize was established in 1990 through funds do­ of the basin of attraction of positive measure have a common nated to the AMS by Joan S. Birman of Columbia University, distribution in the limit, giving rise to a Sinai-Bowen-Ruelle in memory of her sister, Ruth Lyttle Satter. Professor Satter measure on the attractor. This explains why we "see" the earned a bachelor's degree in mathematics and then joined the attractor on the computer. research staff at AT&T Bell Laboratories during World War II. After raising a family, she received a Ph.D. in botany at the age of forty-three from the University of Connecticut at Storrs, where she later became a faculty member. Her research on the biological clocks of plants earned her recognition in the U.S. and abroad. Professor Birman requested that the prize be established to honor her sister's commitment to research and to encourage women in science. The prize is awarded every two years to recognize an oustanding contribution to mathematics research by a woman in the previous five years. The 1993 Satter Prize was awarded by the AMS Council, acting through a selection Committee consisting of Professor Birman, Dusa McDuff (chair), and Alan Weinstein. The prize of $4000 was presented to Professor Young during the AMS-MAA Prize Session on January 15, 1993, at the Joint Mathematics Meetings in San Antonio. The text that follows contains the Committee's citation for the prize, the recipient's response, and a brief biographical sketch of the recipient.

Lai-Smig Young

Citation Young has played a leading role in the investigation of the statistical (or ergodic) properties of dynamical systems and Lai-Sang Young has developed important and difficult techniques which have done much to clarify the subject. In one major paper she established the exponential decay of correlations for a certain Response class of quadratic maps, which are one of the simplest kinds I would like to thank Professor Birman for creating this prize, of nonunifonnly hyperbolic systems. This implies that the and the AMS committee for selecting me. I also want to take limit theorems of probability hold in this case. Although this opportunity to express my gratitude to my teachers and similar results were known for Axiom A systems (which have friends for their support and guidance over the years. uniform hyperbolicity), nothing was known in the nonuniform I would like to tell you a little about my work. For the last case, and the numerical evidence was contradictory. Thus, her ten years one of my projects has been to study the dynamics result was both unexpected and deep. of strange attractors. Numerically it has been observed time

MARCH 1993, VOLUME 40, NUMBER 3 229 1993 Satter Prize and again that if we randomly pick a point near an attractor ematics. There is no doubt that our situation has improved; and plot the first n points of its orbit, then the same picture life in academia for women is easier for my generation than emerges independent of initial condition. This suggests the the generation before. I feel that more institutional support is existence of a natural invariant measure, one that governs still needed for women who try to juggle career and family, the asymptotic distribution of almost all points in the basin of and a conscious effort on our part is necessary if we are to rid attraction. ourselves of the cultural prejudices that have existed for so For uniformly hyperbolic or Axiom A attractors, the long. I want to thank Professor Birman again for giving more existence of this measure was proved ·by Sinai, Bowen, and visibility to women in mathematics, and I am very honored to Ruelle in the early 1970s (hence the name SBR measures). be the recipient of this year's award. In the 1970s and early 1980s, an ergodic theory for systems with nonuniform hyperbolicity was developed by Oseledec, Pesin, Ledrappier, etc. This theory provided the language for Biographical Sketch defining SBR measures in a more general context. But while Lai-Sang Young was born in 1952 in Hong Kong. She received we (mostly Ledrappier, I was part of it also) were able to prove her B.S. from the University of Wisconsin at Madison some abstract theorems about SBR measures, for several years (1973) and her M.A. (1976) and Ph.D. (1978) from the no one was able to either prove or disprove the existence of University of California at Berkeley. Professor Young taught at SBR measures for a single non-Axiom A attractor. This lack Northwestern University (1978-1980), then became assistant of examples was starting to get a little embarrassing. professor at Michigan State University (1980). She is currently The Henon maps were generally believed to be a real professor of mathematics at the University of Arizona and the test case. They are polynomial maps of the plane with just University of California at Los Angeles. She has held visiting about the simplest non-Axiom A attractors. A few years ago positions at the University of Warwick, England (1980--1981), Benedicks and Carleson developed an elaborate machinery the Mathematical Sciences Research Institute at Berkeley for analyzing the dynamics of a positive measure set of these (1983-1984), Universitat Bielefeld, Germany (1985-1986), maps. When they asked me to help finish the project, I was and the Institute for Advanced Study at Princeton (1989). more than happy to join the team. Benedicks and I constructed Young gave an invited address at the August 1985 SBR measures for maps in the same parameter set, resulting AMS Meeting in Laramie, Wyoming. She has been the in one of the papers cited here. These are of course only first recipient of a Sloan Fellowship (1985-1986) and a National examples. We have a long way to go before we understand Science Foundation Faculty Award for Women Scientists and the ergodic theory of strange attractors. Engineers (1991 to the present). Her research interests are in Perhaps I should say a few words about women in math- dynamical systems in the direction of smooth ergodic theory.

COLLECTED WORKS • Volume 3 A. ADRIAN ALBERT Collected Mathematical Papers Richard E. Block, Nathan Jacobson, J. Marshall Osborn, David J. Saltman, and Daniel Zelinsky, Editors

This book contains the collected works of A. Adrian Albert, a leading algebraist of the twentieth century. Albert made many important contributions to the theory of the Brauer group and central simple algebras, Riemann matrices, nonassociative algebras, and other topics. Part 1 focuses on associative algebras and Riemann matrices, and Part 2 on nonassociative algebras and miscellany. Because much of Albert's work remains of vital interest in contemporary research, this volume will interest mathematicians in a variety of areas.

1991 Mathematics Subject Classification: 11, 12, 14, 16, 17 ISBN (Set) 0-8218-0003-5; ISBN (Part 1) 0-8218-0005-1; ISBN (Part 2) 0-8218-0007-8 743 pages (Part 1); 938 pages (Part 2); 1840 pages (Set) (hardcover), January 1993 Set: Individual member $124, List price $206, Institutional member $165 Part 1: Individual member $60, List price $100, Institutional member $80 Part 2: Individual member $70, List price $117, Institutional member $94 To order, please specify CWORKS/3NA (Set), CWORKS/3.1NA (Part 1), CWORKS/3.2NA (Part 2)

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.

230 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Joint Mathematics Meetings in San Antonio

''They were wild," the taxi driver said as he tooled down mathematical "drum" is a region in the plane together with the the highway from the San Antonio airport toward downtown. wave equation defined in that region. The shape of the region "I've never seen such a wild bunch. During their conference determines periodic solutions to the wave equation which in here, they took boats down the river through town, and they turn determine the characteristic frequencies of the drum. The got so drunk they were throwing each other over the side. question is, if you know only these characteristic frequencies, The river's not deep, so there was no chance of someone can you determine the shape of the region? Gordon, Webb, drowning, but-well, I've never seen such a wild bunch." and Wolpert found some simple, distinct planar drums for No, he wasn't talking about the mathematicians who which the frequencies are exactly the same, providing a descended on San Antonio for the Joint Mathematics Meet­ resounding "No" in answer to Kac's question. Gordon closed ings in early January-much to this taxi driver's relief, the her lecture with some "music" generated by computer models mathematicians were a much quieter, more restrained crowd of mathematical drums and strings. than the conventioneers he was remembering. But despite the tamer mood of the Mathematics Meetings, there were plenty of interesting things going on-from top-quality mathematics lectures to discussions of policy matters to speculations about the job market for new Ph.D.s.

Mathematical Lectures Accessible The Invited Addresses at the Meetings seemed to be partic­ ularly accessible this year, with the speakers making a real effort to present their lectures at a technical level that insured wide appeal. The AMS-MAA Joint Invited Addresses kicked off with a winning lecture by Robert Osserman of the Math­ ematical Sciences Research Institute called "Geometry of the Universe". The talk centered on mathematical aspects of cos­ mology and attempts to understand the shape of the universe. There was a time when it was thought that if the universe were finite, one could simply peer over ~e "edge" and see what lay beyond. Riemann was the first to propose the idea that the universe could be bounded but not have an edge-that it could be a closed three-dimensional manifold without boundary. In a fanciful touch, Osserman read a quote from Dante, dating nearly 500 years earlier, which contains a very good guess at just the idea that Riemann had proposed. Osserman pointed out that this was especially surprising since in Dante's time was prevalent. Carolyn Gordon and David Webb with paper models they used in the solution the "concentric circles" model of the universe of the "Can you hear the shape of a drum?" problem. Osserman's use of pictures and three-dimensional models made the lecture especially clear and lively. This year's Claytor Lecture, sponsored by the National Another lecture much praised at the Meetings was the Association of Mathematicians (an organization that works on AMS Invited Address presented by Carolyn Gordon of behalf of African-Americans in the mathematical sciences), Dartmouth College, who spoke on her solution, with David was presented by Fern Hunt of Howard University, who Webb and Scott Wolpert, to the famous "Can you hear the currently holds a visiting position at the National Institute shape of a drum?" problem, posed originally by Mark Kac. A for Standards and Technology. Hunt's lecture, which drew a

MARCH 1993, VOLUME 40, NUMBER 3 231 San Antonio Meetings

sizeable crowd that included a large proportion of students, The letter stated that "it would be both unfair and insulting discussed some of her recent work in dynamical systems to the many homosexual members of the AMS and MAA to and chaos which focuses on comparing different methods for be asked to attend an annual meeting in an openly hostile and computing Lyapunov exponents. Starting with the definition potentially more dangerous place." Pengelley also made the of a dynamical system and leading all the way up to point that many other organizations were choosing to move her current results, Hunt's lecture held appeal both for their conventions from Colorado to protest Amendment 2. specialists and for students unfamiliar with this area. Also The Council and Board received a number of other letters drawing the younger crowd was the AMS-MAA Joint Invited and communications concerning the amendment. There is Address, "Ramanujan, the Lost Notebook, and I", by George some precedent for moving meetings under these kinds of Andrews of Pennsylvania State University. A large group circumstances; for example, the Society has avoided holding of school kids came to the talk, and, although many of meetings in states that have not passed the Equal Rights the mathematical details probably sailed over their heads, Amendment. Ramanujan's profound intuition and his fascination with This matter was taken up in a joint meeting of the Council mathematics came clearly through. and the Board-typically, the two groups meet separately during the Joint Meetings each year, but they have never met together. At the start of the discussion, many were against moving the Meetings (though no one defended Amendment 2). Those against moving argued that doing so would unfairly penalize the many in Colorado who opposed Amendment 2; in particular, the majority of Denver voters voted against it. In addition, they argued, there would be a financial loss if the Meetings were moved, since some of the contracts for the hotels and the convention center had already been signed. However, by the end of the discussion there was a clear consensus to move the meeting. Lee Lorch of York University (who was one of several observers not serving officially) summed up the feelings of many when he recalled the times when AMS and MAA meetings were held in places where African-Americans could not attend, or where women felt uncomfortable, saying that such mistakes should not be repeated. In addition, many felt that the AMS and MAA have a duty to hold meetings only in places where all members of the mathematical community will be safe from discrimination. NAM Oaytor Lecturer Fern Hunt with NAM Executive Secretary Johnny As for the financial aspect, the point was made that there L. Houston. might be a loss if the meetings were not moved, because many who would ordinarily attend might stay away in protest. Another highlight was the Gibbs Lecture, "Fluid Dynamics After agreeing on wording, the Council and Board separately and Fiber Architecture of the Heart and its Valves," by Charles passed resolutions recommending that the January 1995 Joint Peskin of the Courant Institute. Peskin explained his work on Meetings be moved from Denver. (See the news item "1995 a mathematical model of the human heart, a task demanding Joint Meetings Moved from Denver" in this issue of the insight not only into the fluid flow equations that describe Notices for the text of the Council's resolution.) the blood flow, but also into the geometry of the heart's fiber architecture. Especially intriguing were Peskin's videotapes of the heart model as it "beats". Providing a good balance Bleak Job Outlook Continues between technical details and intuitive explanations, Peskin "The solution to the employment problem is that an airplane sprinkled his lecture with several open questions. should crash into this building while I'm at lunch", said Sharon Persinger, who just finished up a one-year position at a medium-sized public college and is looking for ·another Council and Board Say "No" to Denver job. Another jobseeker suggested introducing cholera into the One of the things many were discussing at the Meetings was drinking water at the convention center. the decision to move the January 1995 Joint Meetings from Not all suggestions for improving the job market are so Denver to protest "Amendment 2". This measure, passed drastic-but it's unclear that anything less drastic would have by Colorado voters in a referendum in November, amends much effect. Budget cutbacks and the sluggish economy mean the state constitution to prohibit laws or policies that entitle colleges and universities aren't hiring much, so the job market individuals to protection against discrimination on the basis in mathematics hasn't improved. The number of employers of sexual orientation. A letter from David Pengelley of New using the Employment Register in San Antonio dipped from Mexico State University was sent to members of the AMS eighty-seven last year to only sixty-two this year. The number Council and MAA Board of Governors in late November. of jobseekers also decreased, 626 last year to 508 this year,

232 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY SanAntonio Meetings but the ratio of jobseekers to employers went up: seven-to-one provide such a definition on the spot? "They think we [Asians] last year and eight-to-one this year. don't understand the culture of these institutions", he said. He One thing that did improve was the operation of the thought the interviewer should have asked instead about his Register. For the first time, information about employers was philosophy of and commitment to teaching. provided to applicants before the Meetings, thereby eliminat­ ing crowds of anxious applicants reviewing job postings in the Register area. In addition, a new scheduling algorithm was used. The algorithm fulfilled 100% of "mutual requests" (employer and applicant requested each other) and 100% of employer-initiated requests. Applicants could designate up to four "high priority" requests, and 60% of these were fulfilled. Employers and applicants alike appreciated the improvements in the system. However, some of those interviewing at the Register said they felt there were more jobs advertised in print media this year than last. Many jobseekers believed they would get a position eventually, but that it wouldn't be ideal. "It struck me that expectations were lower", said a graduate student at the University of Wisconsin at Madison who asked not to be named. "People are beaten down, especially those who have been through it two or three times." Randall Crist, a graduate student at Texas A&M University, felt fairly optimistic about his prospects after his interviews, but still confessed to being people AMS President Michael Artin and AMS President-Elect Ronald L. Graham. "terrified". As he put it, "the huge number of desperate Graham took office on February 1, 1993. is what's depressing." Crist also remarked that graduate school does not prepare new Ph.D.s to look for a job, noting that Although many jobseekers used the Register, there did not many turned up at the Employment Register in jeans. seem to be many who felt confident that it would eventually lead to a job. In addition, many expressed disappointment at the caliber of institutions. Many of the good small colleges that used the Register in previous years were absent this year, noted Andrew Lazarus, a former visiting assistant professor in the University of California system who is not currently employed in academia. Allan Donsig, currently a graduate student at Texas A&M University, seemed to sum up the general feeling: ''The Employment Register is not harmful, but if you are interested in a research job, it's not the place to go. I'm glad to have had the experience, but I probably won't get a job this way." But given the tough job market, "it's hard to ignore [the Register]." Persinger says jobseekers go to the Employment Register because they want to do everything they can to find a job. As she put it, the Employment Register is like a "magical act" that one performs in the hope that a job will suddenly materialize, but like most magical acts, it has little effect. As The San Antonio Convention Center Theater, where the major lectures were Lazarus put it, ''There is no magic. The sad truth is that many presented. people who participated in this Register won't get jobs." One Register participant speculated that there were fewer Asian jobseekers at this year's Register, saying that those Public Policy Sessions with language difficulties find the fifteen-minute interviewing A couple of prominent public policy figures spoke during the format particularly onerous. One Asian jobseeker, who asked San Antonio Meetings, and although they made interesting, not to be named, said that he felt there was some discrimination well-informed presentations, attendance was, unfortunately, against Asian students because of the automatic assumption low. The AMS Committee on Science Policy's Government of poor English. Other assumptions about Asian students Speaker, William H. Danforth---chancellor of Washington also work against them. He said that during one interview University in St. Louis and cochair of the influential Com­ he was asked if he knew what a liberal arts institution was. mission on the Future of the National Science Foundation Not having a defiilition at the tip of his tongue, he felt he (NSF}--spoke before an audience of less than one hundred in lost points on that one. But then, how many Americans could a theater that seats 2400. After that, the Joint Policy Board

--- -·------... ___.___ ..._ ...... -. MARCH 1993, VOLUME 40, NUMBER 3 233 ·-w-··--•--·-··---• ·------San Antonio Meetings · for Mathematics (JPBM) public policy talk by H. Guyford California State University at San Marcos, as well as Ruth Stever, a physicist and former Presidential Science Adviser Gonzales of Exxon Production Research Conpany and D. J. with a dizzying list of science policy credentials, was moved Lewis of the University of Michigan. During the panel, some to a smaller room. preliminary results of the Committee's site visits and survey Frank, wise, arid well-presented, the talks by· Danforth were presented. However, the most interesting part of the and Stever discussed current trends in science policy in a discussion came when the audience chimed in. fairly broad context. Understanding the big picture is crucial ''The idea that there is a clean, beautiful way of judging to improving the funding outlook for mathematics. However, research-but that teaching is messy-is just not right", said the fact that their presentations were so far removed from Solomon Garfunkel, executive director of the Consortium for the immediate concerns of mathematics funding-such as the Mathematics and its Applications. In both cases, he noted, flat-rate funding proposal in the Division of Mathematical it is relatively easy to discern whose work stands at the Sciences (DMS) at the NSF, the declining number of principal very top and whose at the very bottom, but judging work investigators supported, and last year's zero increase for in between becomes much more subjective. He stressed the core mathematics at NSF-may account for the lack of need to change not only the reward system, but also the interest among the Meetings attendees. For example, a talk culture of the mathematical community. Starting in graduate by Frederick Wan, the new director of DMS, had better school, students are inculcated with a value system that places attendance. Also, a resolution concerning flat-rate research research above education, he noted. Although it is supposed grants, introduced duritig the Council meeting by Chandler · to be adequate preparation for teaching undergraduate and Davis of the University of Toronto, generated a heated and graduate courses, graduate school rarely addresses these somewhat bitter debate. responsibilities directly. ''We like to say that research must be Still, given the enormous grassroots response from the done when you're young or your brain cells die", he said, and scientific community to the Commission on the Future of relegate education to old age. Would anyone ever suggest, the NSF (including several letters from members of the he asked, that education be done when one is young and mathematical community; see "Commission on the Future energetic? of the NSF', Notices, December 1992, pages 1174-1185), Amy Cohen of Rutgers University remarked that at one might have expected better attendance at Danforth's Rutgers the forms on which faculty evaluations are recorded talk. He discussed the Commission's final report, released list very detailed criteria for research (such as service on last November, which reaffirmed the mission of the NSF to editorial boards, number of papers, invited talks presented, focus on basic research, while also suggesting stronger links grants received, etc.) while the evaluation for teaching simply between universities and industry. says, "describe teaching." It's clear that better and more Danforth made some interesting observations about wan­ serious means of evaluating teaching need to be developed. ing public support for scientific research. Universities are Preliminary results of the Committee's work indicate that large, rich institutions, he noted, and in lean budgetary times student evaluations, with all their vagaries, are still the most it's natural that they come under scrutiny. This scrutiny has widely used tool for evaluating teaching in mathematics turned up some less-than-flattering facts-''There's plenty to departments. This is especially telling because, as Mahoney criticize", as Danforth put it. The image that emerges is one pointed out, the Committee's questionnaire provided a large of scientists who get public funds, make their own judgments number of alternatives to choose from, such as success of about the worth of their work, and then complain when they former students, grades, evaluations by other faculty, and get cut. Add to this a bit of media hype, and erosion in public efforts to help students outside class. confidence is inevitable. Danforth suggested that universities work toward self-reliance and, instead of complaining about Social Events lack of funding, do a good job with the funds that are The AMS Annual Meeting closed with the annual banquet provided. Stever echoed Danforth's assessment of the ''black to honor those who have been members of the Society for eyes" universities have today, but he also pointed out that the twenty-five or more years. Each year during the banquet, importance of mathematics in the training of scientists and awards are presented to those who have been members for the engineers in all areas means that mathematics is central to longest amount of time and who have not previously received science policy. Because of the national interest in education, the award. This year's awardees, each of whom received mathematics has a good public image right now, he said, an engraved mantel clock, were Everett Pitcher of Lehigh ''Maybe the best you'll ever have!" University, who served as AMS Secretary from 1967 to 1988, But is the mathematical community taking seriously its and William Ted Martin of the Massachusetts Institute of responsibilities in education by rewarding contributions to Technology, who served .as AMS Treasurer from 1965 to education in the same way it rewards research contributions? 1973. In addition, Martin presented some of his reminiscences Examining this issue and providing recommendations is the on the history of the Society. task of the JPBM Committee on Professional Recognition and There were two social events that were firsts for the Joint Rewards. This Committee sponsored a panel discussion that Meetings-the Mathchats and Graduate Student Reception. included its chair, Calvin Moore of the University of California The idea of the Mathchats was to have graduate students meet at Berkeley and Committee member Carolyn Mahoney of the informally with some well-known mathematicians. Boats took

234 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY San Antonio Meetings the crowd for a tour along the San Antonio River, and then ment at the University of Texas at Austin. The lead singer, everyone loaded onto buses to head for the Cadillac Lounge Andra Mitrovich, is a part-time administrative assistant in for the reception. The graduate students in attendance seemed the department, and the keyboard player was Jack Quine, a to enjoy meeting the mathematicians who participated as well as other graduate students from around the country. Especially in these tough times for jobseekers, it was helpful for the students to be able to share stories and advice.

Boats on the San Antonio River taking mathematics faculty and graduate students for a tour during the "Mathchats". mathematician from Florida State University on sabbatical at UT Austin. To keep it all in the family, the bass guitarist was Armendariz's brother Ben, an accountant, and the drummer was his son-in-law Phil Bass. The band has been together William Ted Martin, Lucy Martin, Terry Pitcher, and Everett Pitcher at the AMS 25-year Member Banquet. for about five years now, with slight changes in personnel, and they perform regularly at clubs in the Austin area and at But probably the wildest social event was the always­ social events. Forget the Texas Two-Step, this band was into popular reception hosted by the Association for Women in vintage rock and roll. Maybe they weren't wild enough for the Mathematics, which featured dancing and a live band. The conventioneers the taxi driver remembered, but then again, no band, Ax Nelson, had a mathematical twist: Efraim Armen­ one had to be fished out of the San Antonio River. dariz played rhythm guitar and Cameron Gordon was on lead guitar-both are faculty members in the mathematics depart- Allyn Jackson Staff Writer

ADVANCES IN SOVIET MATHEMATICS Nonlinear Stokes Phenomena Yu. S. Il'yashenko, Editor Voltime 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, Institutional member $93 To order, please specify ADVSOV/14NA

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.

MARCH 1993, VOLUME 40, NUMBER 3 235 Computet"S and Mathematics

Edited by Keith Devlin

This month's column It is impossible in a short review to do justice to the The big news is that the backlog that had built up, both of lead arti~les vast capabilities of Maple. I will concentrate here on the and software reviews, has now disappeared. Indeed, for the first time Macintosh interface. A more detailed review of Maple V for since I took over this column two years ago, this month I have no feature the Macintosh has been given by Fitzpatrick and Keady [1]. article in my in-tray. So let me take this opportunity to ask you to submit any articles you think may be suitable for inclusion in future columns. In the meantime, two reviews make up this month's offering. Ira Gessel Maple V looks at the Macintosh version of Maple V and Marvin Margolis reports Maple V is the most recent version of Maple. It incorporates on the Student Edition of Minitab. numerous changes, including improved output display, new Editor's address: mathematical functions and enhancement of existing func­ tions, and structured types. The most striking addition is three­ Professor Keith Devlin dimensional graphics, which works very nicely on the Macin­ Department of Mathematics and Computer Science z cos(x2 y2)/(1 y2) Colby College tosh. For example, the graph of = + + x2 + Waterville, Maine 04901 in Figure 1 can be obtained from the command plot3d(cos(xA2+yA2)/(1+xA2+yA2), Correspondence by electronic mail is preferred, to: x=-3 .. 3, y=-3 .. 3,grid=[40,40]): kjdevlin @colby.edu.

·------...... _, __ ,_ Reviews of Mathematical Software

Maple V for the Macintosh

Reviewed by Ira M. Gessel* Figure 1: The graph of z = cos(xl + y2)/(1 + z2 + y2) Like every symbolic computation program, Maple still has some bugs. A look at one of them is instructive: To determine Maple whether a number n is odd or not, the Maple function type Maple is a powerful symbolic computation system which can be used: type (n, odd) should return true if n is odd and has been under development by the University of Waterloo false if n is not odd. However, type ( -1, odd) returns false. since 1980. Like Macsyma and Mathematica, it can expand One of Maple's useful features is that most of its functions are and factor polynomials, integrate and differentiate, solve written in terms of other Maple functions, and their definitions equations, compute with arbitrarily sized rational and floating can be examined by the user. We find that type (n, odd) is point numbers, and manipulate matrices, and has a large library defined in terms of the integer remainder function irem and of mathematical functions and a powerful programming returns the value of language. For a comparison of these programs, see Simon [2]. Maple compares well with the other two in speed, power, and type(n,integer) and (irem(n,2) = 1) correctness.

*Ira Gessel is a professor of mathematics and computer science at Brandeis Thus Maple thinks that n is odd if n is an integer and n University. His main research interest is enumerative combinatorics . leaves a remainder of 1 when divided by 2. The function irem

.. ,,_____ ...... -...... --...... ,_. _____ ,,,___ , .... _, ___ ,,_ ...... ______236 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Computers and Mathematics behaves exactly as its on-line documentation says it does (but field will then replace the old output field. More generally, the not as a mathematician would want!): irem(n,2) is 1 if n is user can edit any of the input (or output) fields of the active odd and positive, but -1 if n is odd and negative. 1 worksheet, select any contiguous section of the worksheet, and press the enter key, and each input field intersecting the selected section will be evaluated and its newly calculated Maple V for the Macintosh output will replace the corresponding old output. This is very Maple is available for many different computers and operating useful, since a computation often needs to be revised several systems. The basic computational engine is the same in all times until one gets what one really wants. In the previous versions of Maple; the differences are all in how the user versions of Maple for the Macintosh the output would have to interacts with the engine. be removed by hand. Maple V for the Macintosh (which I'll abbreviate as Text fields contain comments, which are ignored by the MVM) works with documents called worksheets. A Maple Maple engine. Input, output, and text fields can easily be session can be started either with a new worksheet or with transformed into each other. Graphic fields contain graphics a previously saved worksheet. This worksheet is the active (in the standard Macintosh PICT format) pasted in by the user. worksheet for the session. Only one active worksheet can They are similar to text fields in that they contain only what exist during a Maple session; it can be closed only by quitting is put there by the user and are ignored by the Maple engine. Maple.2 A worksheet consists of four types of fields: input, (Output from Maple plots appears in a separate window, but output, text, and graphics. An example of a worksheet with can be pasted into a worksheet or into another Macintosh all four types of fields is shown in Figure 2. application.) In earlier Macintosh versions of Maple, worksheets were Worksheet "Untitled-1" E!ll simply text files. To perform a calculation, one would select 10 11 12. 13 1.. 15 16 10 t the text to be evaluated and press the enter key; if the t t t t. -III Iii Ill !!'l:iif" ~.P'.!i!l rTt:XI selected text included any old output a syntax error would We vill solve Ue eqnttan ,..,·z- 1J far v probably result. In addition to new output replacing old, • solvec..-.,·2-y,y>; 1/2 1/2 MVM has the advantage that a Maple worksheet can now 1/2 - 1/2 <1 + 4 x> , 1/2 + 1/2 <1 + 4 x> be made to look much more like a polished document. Nov ve plot Ue aecea• solution. Ia tile fellevtnt com111and, ·refers to MVM contains a basic word processor which allows the tile pravt.. s result, and "( 2] is Ita aecand openn•. user control over fonts, margins, tab stops, and justification. • plot<"l21,x• -1/4 .. 3>; However, the mathematics still looks primitive (there are no superscripts, subscripts, or mathematical symbols in text mode )3, and the document one obtains is at best a nicely 2 formatted, commented, and illustrated record of a Maple session. (Unfortunately, Maple's word-processing abilities do not include a Find command.) 1.5 In addition to the active worksheet, other MVM worksheet files can be opened as "scratchpads". Scratchpads behave just 1 like active worksheets except that when an expression in an input field of a scratchpad is evaluated, the input field is pasted X into the active worksheet, and its output appears there also. 0.5 1 1.5 2 2.5 3 ~ (The scratchpad does not change.) Text and graphics in any lo of the four modes can be cut and pasted between scratchpads and the active worksheet. Figure 2: A Maple Worksheet Calculations in Maple involve only.input and output fields. To give Maple a command, the user types it in an input field Problems and presses the enter key. The result appears in an output field For interactive use the new interface works well, though there immediately below the input field, and the cursor moves to the are some minor problems-cutting and pasting, scrolling, and next input field. To modify the input and reexecute it, the user saving files are slow, and the active worksheet window has changes it with the usual Macintosh editing operations and a few quirks. Once Maple has begun a long calculation it presses the enter key again. The result of the modified input is not possible to switch to another application or even to another Maple window, and it is often impossible to abort a 1 Related to this bug is the fact that among the numerous mathematical functions in the Maple library there is no proper greatest integer function; only a calculation in progress. truncation function that rounds towards 0. 2More precisely, a curious "feature" allows the user to close the active 3Fortunately, Maple can also convert any expression to ''UCJBX'' code, which worksheet without quitting Maple, but no new active worksheet can be opened. can then be pasted into a 'J.EX document. Although Maple does not acknowledge The user then enters a kind of limbo in which text editing on scratchpads (see the existence of plain 'J.EX or ~-'J.EX, the ''UCJBX'' code (except for matrices) below) and file operations can be performed, but no calculations can be done! is usable with little or no modification in any variety of 'J.EX.

·-----·············--·----···--·-··-··················································································································-··---············································································-··-·····-····--··· ...... ························--········· MARCH 1993, VOLUME 40, NUMBER 3 237 Computers and Mathematics

For programming, the advantages of the new interface 2. Barry Simon, "Computer Mathematical Environments", Notices are questionable, and my experience is that writing Maple of the American Mathematical Society 37 (1990), 861-868. programs on the Macintosh is now harder than it used to be. My impression is that the designers of the MVM interface have given little thought to programming. · Maple "programs" usually consist of one or more function The Student Edition of definitions. It is often convenient for a project to use several files, which must be opened as scratchpads in MVM. When Minitab-Release 8-Statistical writing function definitions in scratchpads, one uses only Software ... Adapted for Education input fields, and it is best to keep each function definition in a separate input field. With some practice one learns how to Reviewed by Marvin S. Margolis* maintain these separate input fields when cutting and pasting, and how to split and combine them when necessary, but it Introduction would be much easier if Maple would allow scratchpads to be The Student Edition of Minita~Release 8-Statistical plain ASCII (text) files. Software... Adapted for Education is available from the There is a more serious problem. Since MVM files are not Educational Software Division, Addison-Wesley Publishing ASCII files, Maple programs written for other platforms or Company, 1 Jacob Way, Reading, Massachusetts 01867; phone for previous Macintosh versions of Maple, which are ASCII 617-944-3700; price approximately $45.00. The program is files, cannot be opened by MVM, nor can MajJle programs an easy-to-use general purpose statistical software package written with a text editor (e.g., one with a Find command). that provides a wide range of basic and advanced data anal­ MVM provides several ways to convert ASCII files to MVM ysis capabilities. Although the company producing Minitab files. Unfortunately, none of them seems to work consistently. (which is separate from Addison-Wesley) sells a similar reg­ Although they sometimes work, at other times the resulting ular commercial version to users either on mainframes or input yields spurious syntax errors: in some mysterious way microcomputers, I have not ascertained if student versions Maple fails to read the characters correctly and gives an error exist for all computers. I am only reviewing the Release 8 message even though what it shows on the screen is correct student edition for mM and compatible microcomputers. Fortunately, there is a way to use text files that works: the From the program's 1972 inception, Minitab's designers read statement will correctly read and execute a text file. (But always gave high priority to a straightforward command there does not seem to be any way to use read to convert structure. To further enhance ease-of-use, the Release 8 a text file to a MVM file.) One must be careful with this regular and student editions for the mM PC and compatibles technique, since attempting to read a MVM file rather than introduce a graphical user interface using a mouse, menus, a text file often causes fatal errors. The documentation does and dialog boxes; yet they retain the program's traditional not mention any of these problems, so the user who wants to command language for added flexibility and speed. Simplicity work with text files is likely to waste many hours trying to and ease of use still remain among Minitab's major strengths. figure out what works and what doesn't. According to company literature, users have installed some Minitab version on mainframe, mini-, and microcomputers at Conclusion over 3,000 sites in fifty-one countries worldwide. Maple Vis a powerful and useful program for mathemat­ Except for a few features, the Minitab Student Edition is ical education and research. The Macintosh implementation identical to the regular commercial program. Like the regular makes Maple available at a reasonable price for this popular program it provides students with a tool for describing, computer. Its new interface works well for interactive use, but analyzing, and displaying data. While compatible with the makes programming unnecessarily difficult. commerical program, the student edition has the following limitations: its worksheet can contain no more than 3,500 data Hardware Requirements and Availability points and 100 columns. While the new data points almost Maple V for the Macintosh requires 2 megabytes of RAM double the previous Student Edition capacity, they are still and 7 megabytes of hard disk space. It is available from less than the regular version's 16,174. The student edition Waterloo Maple Software, 160 Columbia Street West, Wa­ excludes matrix functions and selected commands, such as terloo, Ontario, Canada; 519-747-2373. The price for the ANCOVA, the multivariate commands, and GLM. These Macintosh version is $450 commercial, $395 academic. A restrictions are a major disadvantage for anyone confronting campus-wide site license is available. There is also a student multivariate statistical problems. edition available for $99 from Brooks/Cole, 511 Forest Lodge Minitab and Addiso:il-Wesley designed the student edition Road, Pacific Grove, CA 93950; 408-373-0728. The next for college instruction, and (according to the manual) various revision of Maple for the Macintosh is expected late in 1992. Minitab versions are currently available at over 2000 schools. Arguably Minitab is the "standard" statistical package for References 1. Simon Fitzpatrick and Grant Keady, Maple Vfor the Macintosh, *Marvin S. Margolis is Associate Professor of Economics, Economics Depart­ Australasian Wmgs for the mind, submitted. ment, Millersville University, Millersville, PA 17551; telephone 717-872-3561.

--·--·------238 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Computers and Mathematics

undergraduate statistical education. The evidence supporting space consists of a worksheet containing up to 100 columns, the foregoing claim is the number of schools and universities denoted by Cl, C2, ... ,ClOO. The columns correspond to the that make Minitab available to their students. H one asks "variables" in an analysis, and the rows correspond to "cases" why so many schools purchase Minitab, the answer is the or "observations". Most commands have subcommands which relatively low price, the ease-of-use for educational purposes, Minitab uses for special options or to convey additional the general purpose nature of the program, the large number of information in complicated analysis. different computers on which it works, and the large number Statistical educators at The Pennsylvania State University of ancillary statistical texts that accompany it. Hone asks why originally developed Minitab in 1972 as a teaching aid authors write so many texts that include Minitab examples, for introductory statistical courses. Because the Minitab the authors and publishers will reply because so many schools Student Edition parallels the way students think through a make Minitab available to their students. statistical problem, it has advantages as an educational tool One area in which the commercial and educational Minitab for teaching undergraduate statistics. Graduate students can versions differ involves business oriented statistical analysis. use it to good advantage for general statistical analysis, but The regular commerical Release 8 introduces additional they may also want specialized statistical software in their advanced quality control capabilities for business users; the concentration areas. Since the Student Edition of Minitab student version does not include those features. Business designers planned for interactive use, students can, ifthey like, users like Minitab for the same reason students do; its price receive immediate feedback for each statistical operation they and the time investment to ''tool up" to use it efficiently attempt. The (immediate feedback) experiences reinforce and are relatively low. Minitab nevertheless provides business encourage students to follow rules precisely. Earlier version users with significant statistical capabilities. Three-quarters error messages did not always provide helpful clues students of the companies in Fortune magazine's listing of the top 50 needed to correct errors; Release 8 improves significantly companies use the regular PC version. on earlier editions. The new menu and dialog boxes help beginning students also. Although Minitab dates from 1972, I first began using Required and Optional Facilities the mainframe version in my upper level economic statistics user needs an ffiM or compatible microcomputer with an The classes about eight years ago. At the time of acquiring Minitab, Intel80286 processor or higher (that is, at least an mM PC/AT­ my university had a computer room with sufficient terminals type computer) to run Minitab; the Release 8 manual does not for each student to connect to our mainframe. My classes that 8086 and 8088 models. For this version he/she recommend used Minitab concentrated on regression analysis more than needs a hard disk drive with at least 3.2 megabytes (3.2Mb) any other statistical technique. Once my university acquired of available hard disk storage and one floppy disk drive. For laboratories with sufficient microcomputers for all students high-resolution graphics, the user needs an additional 600Kb in my classes to access them individually, I switched to the of hard disk space and a graphics board. The program requires Minitab microcomputer version. at least 1 megabyte (1Mb) of random access memory (RAM), Typically, I, as a teacher, used Minitab to corroborate including at least 465Kb of available conventional memory many problem solutions in a required text. H the text already and 150Kb of available extended or expanded memory. For displayed a Minitab solution, I simply duplicated the text optimum performance, Minitab strongly recommends a math Minitab results to show the students the author was correct. coprocessor. The software requires DOS version 3.0 or later. After obtaining hard copies of the Minitab results, I duplicated Minitab Release 8 runs as a non-Wmdows application under and distributed them to my students. At that point in class I Wmdows 3.0 or higher and also on networks. would interpret the reported numbers for the students. I also gave students graded homework assignments to How Minitab Works hand in that required them to use Minitab. Usually, I also Minitab has a menu-driven interface providing easy access to gave data sets to the students so they could work with "real all its statistical, graphical, and data Iilanagement capabilities. world" data and not waste time entering it. I required them A data window permits data entry, editing, and browsing in a to analyze the data sets according to the statistical theory spreadsheet-like display. An on-screen help window displays I discussed in class or that was in our text. Among the information on Minitab menus, commands, and options. The many statistical textbooks that cqntain Minitab illustrations, program can import and export data and is Lotus 1-2-3 some not only cover the appropriate statistical theory but also compatible. It has statistical process control charts and similar provide coordinated data sets for students to solve applied interface, commands, and output across Macintosh and DOS problems using the Student Edition of Minitab. platforms. In addition to providing the context of the problem as­ Besides a larger worksheet and menu-driven interface, signments and the appropriate data sets in Minitab format, Release 8 features improved access to help information. Users the text publishers may provide an instructor's manual with can scroll, copy, and paste in a session window. The data editor . suggested solutions to the computer assignments. The solu­ allows data entry and editing in a spreadsheet format. Release tions include a printed copy of (1) the suggested Minitab 8 provides high-resolution graphics for histograms, box-, commands necessary to answer the assignment, (2) the results scatter-, multiple scatter-, and control plots. TheMinitab work- of using the commands, and (3) a suggested interpretation of

MARCH 1993, VOLUME 40, NUMBER 3 239 Computers and Mathematics the results. This supplemental material helps me (1) grade chapters that explain the Minitab command language and how student homework assignments quickly, (2) detect student to write macros .. cooperative cheating, and (3) significantly save time. Without A major strength of Minitab is the amount of companion it I would not assign.homework for credit. A professor giving statistical instructional materials that support the program. computer assignments worries that he/she will have many The Student Edition of Minitab User Manual's Appendix F, students coming to his/her office one at a time to ask either Statistical Reference Texts and Companion Textbooks, lists about obscure parts of an assignment or why a particular eleven pages of ancillary support books including textbooks Minitab command does not work, etc. in the following academic disciplines: Behavioral Sciences, Compared with competing computer programs that do Biological Sciences, Business, Engineering, Health Sciences, symbolic mathematical derivation, the number of competing Mathematics, Social Sciences, and others. As I have already computer programs that do general purpose statistical analysis indicated, I like many of these companion texts. is much greater; furthermore, many more specialized statistical However, a few referenced books are out of date. In programs exist. Even general purpose statistical programs the mathematics area one book suggests using Minitab in a have their own niches. While the Minitab niche is in statistical mathematical modeling course. Using Minitab in a purely education, the company is trying to include the business mathematical course may have made sense five years ago, statistical use area also. The competing program SPSS grew but does not today. Since the recommended modeling course out of the social sciences (in particular, survey analysis in had little statistical content, I would recommend against using political science), but has now evolved into a general purpose Minitab. Instead I would use symbolic manipulation programs statistical program. SAS started as a general purpose statistical such as Derive. Even ifl could not use a symbolic manipulation program, but now is almost a general purpose computer program, I would prefer to use today's advanced spreadsheet program. programs for Wmdows over Minitab as an ancillary tool for a Before microcomputers were readily available I also used purely mathematical course. Advanced spreadsheet graphics mainframe versions of (roughly) competing general purpose are as good if not better than Minitab's, and their ability statistical programs such as SAS and SPSS in upper level to create functions matches Minitab's. Finally, they are true undergraduate applied economic statistics courses at my Windows programs while Minitab is not. university. At the time I used SAS on an mM mainframe, the students first had to learn to use a program editor to write Statistical Capabilities their SAS program. Then they had to learn the SAS command Minitab can analyze most topics typically covered in first­ language. At my university only after executing a complete and second-year statistical courses for undergraduates, that SAS program could students get hard copy printouts. The SAS is, it covers plots and histograms, basic statistics, regression, command language is more difficult to learn than is Minitab's. analysis of variance, nonparametrics, tables, time series, Having said that I recognize that SAS is more thorough than exploratory data analysis, and distributions and random data. Minitab and offers more options and subcommands. When I do regression analysis, on the other hand, I have found that SAS usually will have specialized subcommands (for Documentation and Ancillary Support example, a subcommand to do an obscure statistical test) that Robert L. Schaefer of Miami University at Oxford and Eliz­ Minitab does not have. I have found the numerical accuracy abeth Farber of Bucks County Community College authored of Minitab results generally dependable. When authors show The User's Manual for The Student Edition of Minitab. The simultaneous Minitab and SASsolutions to a problem in their authors divide the manual into four parts. Part I, Getting texts, they rarely show numerical discrepancies between the Started, contains four chapters. Chapter 1 familiarizes the two printouts. reader with (the student edition of) Minitab and the basics Some users criticize Minitab's lack of sophisticated graph­ of using DOS and explains the typographical conventions ics and feel that a Minitab high-resolution plot still would used in the book. Chapter 2 shows the reader how to install not meet professional paper standards. For fast low-resolution the software. Chapter 3 describes how to start and stop the graphs, Minitab allows a user to manipulate data and draw a progr&m, and explains basic features. Chapter 4 guides the graph quickly. reader through an actual Minitab session so the reader can sample Minitab's capabilities before beginning the tutorials. Part IT, Tutorials, is the book's heart. Beginning with The Minitab Design Takes Advantage Minitab's simplest features, the fourteen tutorials introduce of Microcomputer Capabilities the software's major features in a step-by-step, hands-on Earlier versions of Minitab for the microcomputer did not take format. Most tutorials and practice problems use data sets that advantage of personal computer capabilities; Release 8 does. an included Sample Files disk contains. Part ill, Exploring Nevertheless, while Release 8 is compatible with Windows, Data, contains the package's data set descriptions. The authors it is not a true Windows product. Minitab's commands and intend that studen,ts will use the data sets to solve practice graphical and statistical results need to be more tightly linked, problems after the students complete the tutorials. Part N, for example, the way Mathematica Version 2 links the three .. Reference, describes all Minitab menu commands and gives I would like to be able to create notebooks in Minitab the the reader more information on special topics. It contains way I can in Mathematica's new version. Special buttons on

240 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY ------···--·--···· Computers and Mathematics a toolbar for my most frequently executed commands would them) as easy to use as Minitab. Of course, SPSS and SYSTAT help also. Other Wmdows features that might be added in the price their commercial Windows program significantly higher future include: Dynamic Data Exchange and Object Linking than Minitab does and require more computer hardware; I have and Embedding. not ascertained if either has a student edition with a graphical Minitab rarely reports statistical results in the final form user interface as Minitab does. Minitab nevertheless cannot that I would like to present to either my students or formally rest on its laurels if it wants to continue as the "standard" to my peers. After completing a task with Minitab I generally general purpose educational statistical program. The other want to bring the ASCII output file into my wordprocessor competing programs do have ancillary texts supporting them for further adjustment, for example, to delete some lines although the range of choices is significantly smaller. here and add others there. Minitab allows ample opportunity The Student Edition of Minitab works nicely with small to annotate my output file before, but not after, I create it; data sets; it is more cumbersome with large data sets. however, usually I realize how I want to annotate after I create Minitab now offers its regular commercial customers Release output. More flexibility with manipulating the output and also 8 Extended for DOS Computers. Release 8 Extended lets an Object Linking and Embedding capability would help me users take advantage of their computer's extended memory significantly. to dramatically increase their worksheet size. "Real World" data sets no longer require mainframe computing. A 286, 386, or 486 PC with 16 megabytes of RAM running Release 8 Concluding Remarks Extended can handle up to 3.1 million observations. The Student Edition of Minitab, Release 8, is a bargain at After many years of using the program in the classroom and a price of approximately $45.00. In terms of capability per occasionally in research I have not encountered serious bugs. dollar spent, few competing programs can match it. Because As I mentioned previously, I would hope to see improvements the retailer is Addison-Wesley and not Minitab, users get in future versions. Given the program's large size, I believe technical support from Addison-Wesley and not Minitab. the authors could provide users with a true programming Addison-Wesley does have technical support people. language. The current programming capabilities need to be The program would not be my first choice for serious more flexible. Serious researchers in multivariate statistics statistical research. As I previously mentioned, it lacks a will want more complete matrix analysis capabilities. complete programming language, and, not only the student Recently I read a book, Time Series Techniques for but also the regular commercial edition, lacks sophisticated Economists, Terence C. Mills (Mills, 1990). I expected matrix commands. The features that initially make Minitab the author to recommend existing specialized econometric easy to learn for a beginner will handicap an experienced software to analyze economic time series. Instead Mills statistical researcher. Nevertheless, it continues to be my first stressed the role of exploratory data analysis (eda) in time choice for first- and second-level statistical courses. series analysis. I am not aware of existing econometric Currently, competing statistical programs have a window software packages that provide eda commands. To my surprise of opportunity to overtake and replace Minitab as the statistical Mills recommended using Minitab (and SAS) for time series education standard. Since the "standard" ffiM microcomputer analysis because the two programs do permit researchers to operating "system" may be switching from DOS to Wmdows, do a thorough eda-type analysis. educators could adopt other statistical programs that develop a Wmdows compatible program before Minitab does. The competing general purpose statistical programs SYSTAT and References SPSS, unlike Minitab, already are shipping true Wmdows 1. Time Series Techniques for Economists, by Terence C. Mills, program versions that probably would be (I have not tried Cambridge University Press, 1990.

-----··--························-~- -...... ---- MARCH 1993, VOLUME 40, NUMBER 3 241 Inside the AMS

Sponsored Membership Program bers may join this society and members of this society may The American Mathematical Society has a sponsored mem­ join the AMS at reduced dues rates. bership program which allows individuals and organizations to "sponsor" eligible mathematicians for membership in the · Union of Bulgarian Mathematicians Society by paying their membership dues. This program en­ ables individuals who may not otherwise be able to pay the Apply to: Professor S. Grozdev, Secretary, P.O. Box 155, dues to be members of the Society. Eligibility for sponsorship Acad. G. Bonchev Str., Block 8, 1113 Sofia, Bulgaria. is limited to individuals residing in countries with currency Dues: Voluntary-to cover mailing costs. restrictions or in developing countries. The individual being sponsored need not be a current member of the Society. For Privlleges: To present papers at UBM meetings; to join such 1993 the sponsored member dues rate are $27. meetings without fees of participation; to assist scientific If you know an individual whose membership you would events that take place in Bulgaria and concern mathematics at like to sponsor or if you would like to learn more about the 30% reduced fees for participation; and to receive copies or program, please contact Cheryl Rotella, American Mathemat­ annual subscriptions ofBulgarian Mathematical Editions at a ical Society, P.O. Box 6248, Providence, RI 02940-6248 or 30% discount. via e-mail to [email protected] or [email protected]. Officers: L. Davidov (President), P. Azalov and H. Lessov (Vice Presidents), S. Grozdev (Secretary).

AMS Reciprocity Agreements Further information about other societies with which the The American Mathematical Society has recently established AMS has reciprocity agreements may be found in the complete a reciprocity agreement with the Union of Bulgarian Math­ list of reciprocity agreements in the Notices, July/August 1992, ematicians. Under the terms of this agreement, AMS mem- pages 642-649.

TRANSlATIONS American Mathematical Society Translations, Series 2 ---1111*2. Y*-1&1 Selected Papers in K-Theory Volume 154 Selected Papers inK-Theory This book contains papers ranging over a number of topics relating to K -theory, including algebraic number theory, Grothendieck and Whitehead groups, group representation theory, linear algebraic groups, selfadjoint operator algebras, linear operators, homology and cohomology, and the use of K -theory in geometry. 1991 Mathematics Subject Classification: 11, 13, 16, 18, 19, 20, 46, 47, 55; 12 ISBN 0-8218-7504-3, 195 pages (hardcover), December 1992 Individual member $50, List price $83, Institutional member $66 ·--- To order, please specify TRANS21154NA

All prices subject to change. Free shipment by swface: 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 VlSA or MasterCard. Residents of Canada, please include 7% GST.

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

John Kemeny MAA Prizes Awarded of developments leading to the computa­ 1926-1992 In San Antonio tion of more than 200 million digits of 1r John Kemeny, co-creator of the com­ During the Joint Mathematics Meetings in January 1988. The Committee award­ puter language BASIC and former pres­ in San Antonio in January of this year, ing the prize notes, ''The sheer joy of ident of Dartmouth College, died on the Mathematical Association of Amer­ mathematics shines clearly throughout December 26, 1992. ica (MAA) awarded a number of prizes. the paper." A native of Budapest, Kemeny was HENRY 0. PoLLAK, retired Assistant WILLIAM DUNHAM, Muhlenberg Col­ born May 31, 1926. He came to the Vice President at Bell Communications lege, and HowARD EvEs, University of U.S. in 1940, and his family settled Research Labs, received the Yueh-Gin Maine (retired), received George P6lya in New York. He received his B.A. Gung and Dr. Charles Y. Hu Award for Awards of $500 each. Eves' award rec­ from Princeton University in 1947. He Distinguished Service, the MAA's most ognizes his paper, "Two Surprising The­ worked on the Manhattan Project at prestigious award, consisting of $4000 orems on Cavalieri Congruence," Col­ 22, Los Alamos National Laboratory, and and a gold cup. Pollak received his Ph.D. lege Mathematics Journal, volume excellent then returned to Princeton, receiving his in mathematics from Harvard University 1991. The paper is marked by scholarship and lucid prose. Ph.D. in 1949. During that time he was in 1951 and joined Bell Laboratories as a historical He served as Dunham received the award for his pa­ a research assistant to Albert Einstein. theoretical mathematician. Mathematics and Statis­ per, "Euler and the Fundamental Theo­ He joined the faculty of Dartmouth in director of the tics Research Center at Bell Labs for rem of Algebra," College Mathematics 1953, where he taught philosophy and two decades. Currently, he is a visit­ Journal, volume 22, 1991. The awards mathematics. ing professor at the Teachers College committee noted that the paper "gives Kemeny served as president of Dart­ of Columbia University. He was Presi­ an intimate sense of the historical de­ mouth between 1970 and 1981 and was dent of the MAA during 1975-1976 and velopment of great mathematics in the changing the all-male instrumental in was chair of the Fourth International hands of great mathematicians." college into a coeducational one and Congress on Mathematical Education. GULBANK D. CHAKERIAN, Univer­ in instituting a year-round plan of a Regarding his contributions to both re­ sity of California at Davis, and DAVID three-term academic year. With Thomas search and education, Pollak was quoted LoGOTHETTI, Santa Clara University, Kurtz, Kemeny wrote BASIC, now the in an MAA news release as saying: were awarded the Carl B. Allendoerfer most widely-used computer language in "I have tried to fill the total role of Award of $500 for their joint paper, the world. He also developed a computer a mathematician and am delighted the "Cube Slices, Pictorial Triangulations, timesharing system at Dartmouth.· In profession recognizes and honors this and Probability," Mathematics Maga­ 1979, President Jimmy Carter appointed breadth of activity." zine, volume 64, 1991. Logothetti's prize Kemeny as chair of the commission to DAVID H. BAILEY, NASA Ames Re- was awarded posthumously; he died on investigate the Three Mile Island nuclear . search Center; JoNATHAN M. BoRWEIN, July 20, 1991. The paper is an exposition accident. The Kemeny Commission, as University of Waterloo; and PETER B. of the properties and applications of the it came to be called, was very critical BORWEIN, Dalhousie University, re­ result of slicing a cube of any dimension of the nuclear power industry and its ceived the Chauvenet Prize for their by the family of planes perpendicular federal regulators. joint paper, "Ramanujan, Modular Equa­ to the body diagonal. Upon notification Kemeny held twenty honorary de­ tions, and Approximations to Pi, or How of the award, Chakerian said, "David grees and received the New York Acad­ to Compute One Billion Digits of Pi," Logothetti and I derived immense en­ emy of Sciences Award (1984), the In­ which appeared in the American Mathe­ joyment from writing this article, and stitute of Electrical and Electronics En­ matical Monthly, volume 96, 1989. The I am deeply appreciative, as he would gineers Computer Medal (1986), and the prizewinners will share the cash award be, of this award. It is an encouraging Louis Robinson Award (1990). of $1000. Their paper gives an account sign for the future of our profession that

------··--···-··-···------··-··-·--·······-····---····-······---······----·····---·--·-····································-·-··- MARCH 1993, VOLUME40, NUMBER3 243 News and Announcements

its membership is actively supporting University; NORBERT J. KUENZI, Uni­ to: Andrew Sterrett, Career Information expository writing with such awards and versity of Wisconsin-Oshkosh; JACQUE­ in the Mathematical Sciences Project, trying to make mathematics pleasurable LINE C. Moss, Paducah Community Col­ Mathematical Association of America, and accessible to as wide an audience as lege; and HowARD C. SAAR, North Cen­ 1529 Eighteenth Street, NW, Wash­ possible." tral College in Naperville, Illinois. ington, DC 20036; telephone 202-387- Also receiving a $500 Allendoerfer 5200; e-mail [email protected]. Award was ISRAEL KLEINER, York Uni­ Graham to Give Pitcher Lectures versity, for his paper, "Rigor and Proof The next series of Everett Pitcher Lec­ in Mathematics: An Historical Perspec­ tures will be held April 12, 13, and News from the tive," Mathematics Magazine, volume 14, 1993, on the campus of Lehigh Uni­ Mathematical Sciences Institute 64, 1991. The paper provides a scholarly veristy in Bethlehem, Pennsylvania. The (MSI) exposition of the historical evolution of speaker will be Dr. Ronald L. Graham Come// University the role of rigor and proof in mathemat­ of AT&T Bell Laboratories. The title and SUNY Stony Brook ics, starting with the Babylonians and of his lectures is Quasi-randomness and Programs emphasizing Real Closed the Greeks and ending with today's con­ Combinatorics. Fields continue at MSI's Center for Sym­ cerns about the proper role of large-scale The lectures are open to the public bolic Methods in Algorithmic Math­ computers in mathematical proof. and are held in honor of Everett Pitcher, ematics (ACSyAM). For information, CLEMENT W. H. LAM, Concordia former Secretary of the AMS. Pitcher contact Center Director M. Sweedler at University, received the Lester R. Ford served in the mathematics department [email protected]. Award for his article, ''The Search for at Lehigh from 1938 until 1978, when The Department of Applied Mathe­ a Finite Projective Plane of Order 10," he retired as Distinguished Professor of matics and Statistics of the State Univer­ American Mathematical Monthly, vol­ Mathematics. Further information can sity of New York, Stony Brook and MSI ume 98, 1991. The award includes a be obtained by writing to Pitcher Lec­ will host the Fifth Annual Conference cash prize of $500. The article leads ture Series, Department of Mathemat­ on Biomathematics to meet at SUNY · readers through the 200-year history of ics, Lehigh University, Bethlehem, PA Stony Brook on April 16, 1993. For this problem, describing the reduction of 18015; or by calling 215-758-3753. more information, contact E. Beltrami the problem to a manageable number of at beltrami@ ams.sunysb.edu. cases and the computational problems CBMS Project R. Pemantle of the University of involved. on Career Information Wisconsin will organize a workshop on The MAA also presented for the first Acting on behalf of the Conference Random Walks, Trees, and Groups to time a new set of prizes, the Distin­ Board of the Mathematical Sciences meet in Ithaca, NY from April18-20, guished College or University Teaching (CBMS), the Mathematical Associa­ 1993. Contact MSI Center for Stochas­ of Mathematics Awards of $1000 each. tion of America (MAA) has received tic Analysis Director R. Durrett at These awards honor college or univer­ a three-year grant from the Department [email protected] for further sity teachers who have been widely of Energy to develop a comprehensive information. recognized as extraordinarily success­ program to prepare and disseminate ca­ 0. Moreno of MSI and the Univer­ ful and whose teaching effectiveness reer information in the mathematical sity of Puerto Rico, together .with T. has been shown to have had influ­ sciences. This initiative will launch a Mora of Genova and G. Cohen of Paris, ence beyond their own institutions. The sustained effort by the fifteen CBMS will organize the Tenth International awardees are: RoBERT V. Hooo, Uni­ member societies to provide up-to-date Symposium on Applied Algebra, Alge­ versity of Iowa; ANNE LESTER HUD­ career information in the mathematical braic Algorithms, and Error Correcting soN, Armstrong State College; JosEPH sciences to students, teachers, advisors, Codes to meet in San Juan de Puerto Rico A. GALLIAN, University of Minnesota­ and guidance counselors in schools and from May 10-14, 1993. For information, Duluth; FRANK MoRGAN, Williams Col.:. colleges. Andrew Sterrett of the MAA contact [email protected]. lege; V. FREDERICK RICKEY, Bowling will direct the project. From June 14-18, 1993 A. Scedrov Green State University; DoRis J. As a first step, the CBMS is collect­ of the University of Pennsylvania and SCHATTSCHNEIDER, Moravian College; ing information about existing career MSI Director A. Nerode will host a and PmLIP D. STRAFFIN, JR., Beloit Col­ information materials and programs. workshop on Linear Logic to meet at lege. Posters, brochures, videos, books, pro­ MSI in Ithaca, NY. Contact A. Scedrov Finally, the MAA awarded six Cer­ grammatic ideas-all of these would be at [email protected]. tificates of Meritorious Service to honor helpful. The CBMS would appreciate D. Heath and S. Resnick of Cornell service at the national level or service to receiving samples or references for any University will organize a workshop on a Section of the MAA. The awardees are: career materials that have been useful, Applied Probability in honor of N. U. EDWARD MAURICE BEESLEY, University as well as suggestions for where new Prabhu to meet in Ithaca, NY from June of Nevada in Reno (retired); JACK E. material is most needed. 28-29, 1993. For more information, con­ GRAVER, Syracuse University; HARoLD All correspondence and inquiries tact Heath at [email protected] or W. HAGER, Southeast Missouri State about this project should be directed Resnickat [email protected].

244 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY . News and Announcements

MSI Director A. Nerode will chair St. Petersburg, 191011, Russia. The So­ the Mathematical Association of Amer­ a meeting at the Second International ciety also has an address for electronic ica (MAA) agreed on wording for a Workshop on Logic Programming and mail: [email protected];su. resolution, passed separately by each Nonmonotonic Reasoning to meet from body, to move the 1995 Joint Mathemat­ ics Meetings from Denver. The decision June. 28-30, 1993 in Lisbon, Portugal. Reduced Rates was made in protest of the passage For information, contact W. Marek at In AMS Health Plan last November of "Amendment 2" to [email protected]. Rates for hospital room and board in the the Colorado state constitution. This Cornell University's L. Gross will AMS Comprehensive HealthCare Plan :unendment prevents the state from pass­ organize a workshop on Stochastic Anal­ are being reduced February 1, 1993. The mg any law or adopting any policies that ysis to meet at MSI from August 2--6, AMS Insurance Program Administrator would entitle individuals to protection 1993. For further information contact R. reports that a savings in the Room and Durrett at [email protected]. against discrimination on the basis of ~f the Plan, resulting Board componen! sexual orientation. P. Paule from the University of from less than antictpated use of hospital The text of the resolution passed by L~ will org~ze ~ worksh~p on Sym­ stays, has made it possible to reduce the Council reads: bolic Computation m Combmatorics to these rates for Plan participants. meet at MSI from September 21-24 "The Council of the AMS believes Ra~s will be lowered for all age that the ac~ons. taken by the majority 1993. For information contact Paule at categones and personal circumstances. of those voting m Colorado in Novem­ [email protected]. As an illustration, the Administrator ber 1992 with respect to discrimination B. Sturmfels of Cornell Univer­ cites an annual savings of $135 for a against homosexuals were wrong. The sity will host a joint US-Italian con­ forty-four-year-old member with family Council of the AMS recommends that ference on Hilbert Functions at MSI coverage and an Optional Room and the Joint Meetings not take place in from October 27-30, 1993. For fur­ Board Benefit level of $400. This is a Colorado while language similar to that ther information, contact Sturmfels at 20.5% reduction in the Room and Board in Amendment 2 of the November 1992 [email protected]. rates for members in the age forty to General Election passed by the voters R. Getoor from UCSD and H. Kesten forty-four category. of Colorado remains in the Colorado from Cornell University will host a Con­ In addition, the maximum daily ben­ constitution. One of the reasons for this ference in honor of E. Dynkin to be held efit available is being increased to $500 resolution is th~t ~e AMS has the duty to in Ithaca, NY from May 22-24, 1994. per day from the current maximum of protect all. parti~tp~t~ at their meetings For general information concern­ February 1, $400 per.

MARCH 1993, VOLUME 40, NUMBER 3 245 American Mathematical Society & Centre de Recherches Mathematiques

~p,otli!!MM·,C:'f ~) CRM Monograph Series o~DI!l>\~

Volumel Free Random Variables D. V. Voiculescu, K J. Dykema, and A. Nica This book represents the first comprehensive introduction to free probability theory, a highly noncommutative probability theory with independence based on free products instead of tensor products. Basic

o.v.v~ examples of this kind of theory are provided by convolution operators on }t.J.D7IUIIII&.. - free groups and by the asymptotic behavior of large Gaussian random matrices. In addition to researchers and graduate students in mathematics, this book is of interest to physicists and others who use random matrices.

·-_..- 1991 Mathematics Subject Classification: 46; 47, 60 ISBN 0-8218-6999-X, 70 pages (hardcover), December 1992 Individual member $23, Ust price $39, Institutional member $31 To order, please specify CRMM/lNA

Volume2 Applied Integral Transforms M. Ya. Antimirov, A. A. Kolyshkin, and Remi Vaillancourt The first section of this book, which proceeds mainly by examples and includes exercises, requires little mathematical background and can be considered 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 author's research experience and involvement in industrial applications.

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

All prices subject to change. Free shipment by surface: for air delivery, please add $6.50 per title. Prepay­ ment required. Order from: American Mathematical Society, P.O. Box 5904, Boston, MA 02206-5904, or call toll free 800-321-4AMS in the U.S. and Canada to charge with VISA or MasterCard. Residents of Canada, please include 7% GST. Knoxville, Tennessee University of Tennessee March 26-27, 1993

Program

The eight-hundred-and-seventy-ninth meeting of the Amer­ Numerical methods in optimization, Tim Kelley, North ican Mathematical Society will be held on the campus of Carolina State University. the University of Tennessee, Knoxville, Tennessee on Friday, Continua theory and dynamical systems, John C. Mayer, March 26 and Saturday, March 27, 1993. All sessions and in­ University of Alabama-Birmingham. vited addresses will be in the Humanities and Social Sciences Stochastic processes, Balram S. Rajput and Jan Rosin­ Building. ski, University of Tennessee, Knoxville. Algebraic combinatorics, Michelle L. Wachs. Abstracts for consideration for these sessions should have Invited Addresses been submitted by the December 15, 1992 deadline. This By invitation of the Southeastern Section Program Committee, deadline was previously published in the Invited Speakers and there will be four invited one-hour addresses. The speakers, Special Sessions section of the Notices. their affiliations, the titles of their talks, and the scheduled times of presentation are: Contributed Papers Paul R. Blanchard, Boston University, The dynamics and topology of iterated cubic polynomials, 1:20 p.m., Saturday, There will also be sessions for contributed ten-minute pa­ March27. pers. Abstracts should have been submitted by the January Olav Kallenberg, Auburn University, On the basic sym­ 5, 1993 deadline previously published in the Calendar of metries in probability theory, 11:10 a.m., Friday, March 26. AMS Meetings and Conferences. Late papers will not be Richard 'Thpia, Rice University, The historical develop­ accommodated. ment of computational optimization, 1:20 p.m., Friday, March 26. Registration Michelle L. Wachs, University of Miami, Homology of partially ordered sets of partitions, 11:10 a.m., Saturday, The meeting registration desk will be located in the second March27. floor lobby of the Humanities and Social Sciences Building and will be open from 8:00 a.m. to 5:00 p.m. on Friday, March 26, and 8:00 a.m. to noon on Saturday, March 27. Special Sessions · The registration fees are $30 for members of the AMS, $45 for nonmembers, and $10 for emeritus members, students, or By invitation of the same committee, there will be nine special unemployed mathematicians, payable by cash, check, or Visa sessions of selected twenty-minute paperS. The topics of these or MasterCard credit card. sessions, and the names and affiliations of the organizers, are as follows: Commutative ring theory, David F. Anderson and David Social Event E. Dobbs, University of Tennessee, Knoxville. A cash-bar reception is planned for 8:00 p.m. to 10:00 p.m. Interventions to assure success: calculus through junior on Friday, March 26 at the Campus Inn. faculty, Bettye Anne Case, Florida State University. Optimal control and applications, Ben G. Fitzpatrick and Suzanne M. Lenhart, University of Tennessee, Knoxville. Accommodations Variational problems in geometry, Alexandre S. Freire Rooms have been blocked for participants at the Campus and Conrad P. Plaut, University of Tennessee, Knoxville. Inn, Knoxville Hilton, and Radisson Hotel Knoxville. The Sturm-Liouville operators, applications, and extensions, Campus Inn is adjacent to the university campus and is a Don B. Hinton and Kenneth Shaw, University of Tennessee, short walk from the Humanities and Social Sciences Building Knoxville. (HSS). The Knoxville Hilton and Radisson Hotel Knoxville

MARCH 1993, VOLUME 40, NUMBER 3 247 ···············································------·-···-·······.. ·····································································------;r------Meetings are located downtown and are approximately three-quarters Parking of a mile from the HSS Building; morning and evening van transportation will be provided between these hotels Parking will be available in the University Center Parking and the HSS Building. Participants should make their own Garage at a reduced rate of $3 per day (no in-and-out arrangements with the hotel of their choice and ·ask for the privileges) if the parking ticket is validated at the registration AMS conference rate. All rates are subject to a 13.25% tax. table. The garage is accessed from Stadium Drive. The AMS is not responsible for rate changes or the quality of the accommodations offered by these hotels/motels. 'Iravel and Local Information Campus Inn 1706 Cumberland Avenue, Knoxville, TN 37916 The University of Tennessee, Knoxville campus is located Telephone: 615-521-5000 approximately twelve miles from the Knoxville McGhee­ The deadline for reservations is March 11, 1993. Tyson Airport, which is served by most major airlines (including American, Delta, Northwest, United, and USAir). Single $39 Double $42 Participants also can arrive by Greyhound-Trailways Bus Knoxville Hilton Lines. 501 Church Avenue, S.W., Knoxville, TN 37902-2591 Participants traveling by car from the north on 1-75 first Telephone: 615-523-2300 should take 1-275 and then follow, in order, the signs for The deadline for reservations was March 3, 1993. 1-40 West/1-75 South, 17th Street, and the university. Those traveling by car from the west or east on 1-40 or from the Single $59 Double $69 south on 1-75 may use the 17th Street exit and follow 17th Street south to the campus. Radisson Hotel Knoxville 401 Summit Hill Drive, Knoxville, TN 37902 Telephone: 615-522-2600 Weather and Local Attractions The deadline for reservations is March 11, 1993. The weather in Knoxville in late March is variable. The Single $69 Double $65 normal daily low in March is 39.3°F, the normal daily high is Food Service 60.1 °F, and the normal rainfall for the month is 5.49 inches. Knoxville and the surrounding area offer many interesting Numerous eating establishments from diners and national fast attractions, including historical sites, museums, galleries, food chains to finer restaurants are located along Cumberland an outstanding zoo, the vacation towns of Pigeon Forge Avenue within walking distance of the HSS Building. Addi­ and Gatlingburg, the "Atomic City" of Oak Ridge, the tional restaurants are located approximately one mile away Great Smoky Mountains National Park, and Big South Fork in the downtown area and from three to fifteen miles west National River and Recreation Area. Nightlife offerings along Kingston Pike, an extension of Cumberland Avenue. include lounges, sports bars, comedy clubs, and the "Old The University Center will offer only limited food service City", a restored historic neighborhood featuring restaurants because UTK will be on spring break during the meeting. and saloons with live music, antiques stores, and other shops.

- Contemporary Mathematics, Volume 142 - (Je>lliEMPOIAI\1 ri1}1iHEMATICS Several Complex Variables in China Chung-Chun Yang and Sheng Gong, Editors Among the topics covered in this volume are singular integrals, function spaces, Several Complex Variables differential operators, and factorization of meromorphic functions in several in China complex variables via analytic or geometric methods. Some of the results here are reported in English for the first time.

1991 Mathematics Subject Classification: 32 ISBN0-8218-5164-0,173pages(softcover), February1993 Individual member$22, Ust price$36,1nstitutional member$29 To order, pleasespecifyCONM/142NA

All prices subject to change. Free shipment by surface: for air delivery, please add $6.50 pertitle. Prepayment required. Order from: American Mathematical Society, P.O. Box 5904, Boston, MA 02206- 5904,orcalltollfree800-321-4AMSintheU.S.andCanadatochargewithVISAorMasterCard. Residents of canada, pleeseinclucle 7%GST.

248 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Meetings

Knoxville, TN 1-40 To Asheville, NC Downtown 1-275 To 1-75 North, & Lexington, KY Campus

To Nashville & To 1-75 South, Chattanooga

US441 To . Gatlinburg

0 Campuslnn 0 Humanities and Social 8 Knoxville Hilton Sciences Building e Radisson Hotel Knoxville 8 Parking Garage

... _, _____ ,.,,.,., _____ ,,,...... ,_,,, ...... - ...... , ___ , __ ,,,...... - ...... ,,,_,,,...... MARCH 1993, VOLUME 40, NUMBER 3 249 Presenters of Papers

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

*AartS, J. M., 12 *Fulton, C. T., 136 * Uu, Z.-d., 47 * Slutskin, L., 62 *Allen, E. E., 107 * Garsia, A. M., 108 *Lowe,B.,2 *Sorensen, D. C., 91 Anastassiou, G. A., 112 *Gessel, I. M., 21 *Lucas, T. G.,l8 *Stanton, D., 22 *Anderson, D. D., 40 *Gilmer, R., 17 *Ma. Y.,121 *Stark, C. W., 15 *Ashbaugh, M. S., 52 *Gilmore, P., 140 * Mandrekar, V., 69 *Stembridge, J., 106 *Bandt, C., 13 *Glaz, S.,36 *Marley, T.,104 * Stojanovic, S., 46 *Banks, H. T., 42 * Gorostiza, L., 67 McCoy, T. L., 110 Suh, T.-i., 33 *Baxley, J. V., 137 *Gray, M. W., 83 *McDonald, P., 130 Sun, Y., 31 *Bergeron, N., 76 * Greene, C., 77 *Minc,P., 66 * Sundaram, S., 158 * Beniozabal, M. P., 164 * Griewank, A., 7 *Misiurewicz,M.,147 * Svirsky, R., 5 Betounes, D., 113 *Guerrieri, B., 163 Mohapeloa, K. T., 32 *S~k,G.,146 *Binding, P., 56 *Hagedorn, G. A., 86 *Mott, J. L., 19 * Symes, W., 11 •Blanchard, P., 119 *Harrell, E. M., ll, 134 * Mukherjea, A., 70 * Szulga, J., 155 *Blokh, A. M.,l45 *Harris, B. J., 87 *Murphy, K. A., 10 * 'Thksar, M., 128 *Bradley, M. E., 125 * Heinricher, A., 127 * Nik:olaev, I., 131 • Tapia, R. A., 35 * Brechner, B. L., 14 *Heinzer, w. J.,101 * Oversteegen, L. G., 97 *Tapia, R., 82 *Brown, R., 85 *Helmes, K., 151 *Patterson, R. F., 153 Todorov, P. G., 109 *Bryc, W., 149 *Henderson, J., 1 *Patterson, W. M., 162 *Tolle, J. W., 61 *Burns, J. A., 57 Hill, G., 29 * Patula, W. T., 88 *Torczon, V.,l39 *Butler, L. M., 105 *Hill, T. P., 152 *Pitt, L. D., 71 * Tran, H. T., 9 *Cambanis, S.,150 *Holte, S. E., 16 *Proctor, R. A., 79 *Transue, W. R., 96 *Carlson, R., 4 *Houston, E. G., 20 *Proctor, T. G., 116 * Umeda, T., 55 *Carter, R. G., 141 *Howard, R., 50 * Protopopescu, V., 126 • Wachs, M. L., 118 *Case, B. A., 25 *Huckaba, S., 103 *Reiner, V., 160 *Walker, H. F., 93 *Chapman, S. T., 39 *Huffaker, R., 124 * Reneke, J., 43 *Walker, J. B., 81 *Clark, S., 54 *Ito, K.,143 * Reutenauer, C., 157 *Wallace, R., 6 *Cole, D., 115 • KalleJ!.berg, 0., 34 *Rishel, R., 44 * Weikard, R., 90 * Corzatt, C., 26 * ~ler, T., 133 *Rogers, J. T., Jr., 98 *White, D., 23 *Costa, D., 122 *KaUffman, R. M., 53 * Rukimbira, P., 51 *White, N. L., 80 Davis,R.,30 *Keesling, J., 144 *Sagan, B. E., 159 *Wiegand, R., 41 * Diaconis, P., 78 *Kelley, C. T., 94 *Saito, K., 72 *Wiegand, S., 38 * Dimitti6, R., 37 *Kennedy, J., 63 * Samorodnitsky, G., 154 * Wlhstutz, V., 73 *Ding, K., 161 *King, B. B., 59 * Scroggs, J. S., 92 *Wllhelm, F., 49 *Doblin, s. A., 84 *Klaus, M., 89 *Segal, J., 99 *Williamson, K. A., 8 *Dunn, J. c., 95 * Korevaar, N., 48 * Segert, J., 132 * Woyczynski, W. A., 74 *Edelman, P. H., 75 *Krall, A. M., 3 Selvavel, K., 114 *Wright, S., 60 *Elder, G. G., 123 * Kuo, H.-H., 68 *Shah, K., 102 *Ym,G.,45 *Fitzpatrick, B. G., 142 * Kuperberg, K., 64 * Shen, Z., 129 *Yorke, J. A., 148 *Frandsen, H., 28 *Lee, J. s., 65 *Shure, P., 27 * Yu, J.-T., 120 *Freeman, M., 117 *Lewis, R. M., 58 * Simion, R., 156 *Zeilberger, D., 24 Fryant, A., 111 *Lewis, R. T., 135 * Slaminka, E. E., 100 * Zettl, A., 138

250 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 m~ting will be found in the March 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.

9:00 a.m. A transfer function technique for the estimation of Friday, March 26 (9) coefficients in hyperbolic equations. H. T. Tran, North Carolina State University (879-65-106) (Sponsored by Michael Shearer)

Special Session on Sturm-Liouville 9:30a.m. Parameter estimation in the 1-D Stefan problem. Operators, Applications, and Extensions, I (10) Preliminary report. Katherine A. Murphy, University of North carolina, Chapel Hill (879-49-41) (Sponsored by Michael 8:00 a.m.-10:50 a.m. Shearer)

8:00 a.m. Focal point characterizations and comparisons for right 10:00 a.m. The inverse problem of seismic velocities es an (1) focal differential operators. (11) optimization problem. Paul W. Eloe, University of Dayton, and Johnny William Symes, Rice University (879-65-162) Henderson*, Auburn University, Auburn (879-34-03) (Sponsored by Michael Shearer) 8:30 a.m. On the construction of a potential from Cauchy data. (2) Lester Caudill and Bruce Lowe*, Texas A&M University, College Station (879-31-08) 9:00 a.m. Differential operators and orthogonal polynomials. Special Session on Continua Theory (3) Allan M. Krall, Pennsylvania State University, and Dynamical Systems, I University Park (879-34-11) 9:30 a.m. Hearing point masses In a string. (4) Robert Carlson, University of Colorado, Colorado Springs (879-34-24) 8:00 a.m.-10:30 a.m. 10:00 a.m. Spectral analysis of the double commutation method. (5) Roman Svlrsky, University of Tennessee, Knoxville 8:00 a.m. Classifying homeomorphisms on hairy arcs. (879-34-25) (12) Preliminary report. 10:30 a.m. A variational method for recovering a function and its Jan M. Aarts*, Delft University of Technology, (6) derivatives from experimental data. Netherlands, and Lex G. Oversteegen, University of Robert Wallace* and lan Knowles, University of Alabama, Birmingham (879-54-121) Alabama, Birmingham (879-65-37) 8:30 a.m. Composants of the horseshoe are homeomorphic. (13) Christoph Bandt, Ernst-Moritz-Arndt University, Special Session on Numerical Germany (879-54-120) Methods in Optimization, I 9:00 a.m. Prime ends and group actions on three dimensional (14) spaces. Preliminary report. Beverly L. Brechner* and Joo S. Lee, University of 8:00 a.m.-10:20 a.m. Florida (879-57-90) 8:00 a.m. Derivative convergence for iterative solvers. (7) Ahdreas Grlewank, Argonne National Laboratories, 9:30 a.m. Dynamics on Menger manifolds. Preliminary report. Illinois (879-65-1 07) (Sponsored by Carl T. Kelley) (15) Christopher W. Stark, University of Florida (879-54-126) 8:30 a.m. Automatic differentiation of Implicit functions with an (8) application to parameter identification. Alan carle, John E. Dennis, Jr., Karen A. 10:00 a.m. Embedding inverse limits of nearly Markov interval Williamson*, Rice University, Christian Bischof, (16) maps es attractors of planar diffeomorphisms. George Corliss and Andreas Grlewank, Argonne Preliminary report. National Laboratory, Illinois (879-65-138) (Sponsored Sarah E. Holte, University of Missouri, Rolla by Richard A. Tapia) (879-54-32)

MARCH 1993, VOLUME 40, NUMBER 3 251 Program of the Sessions

10:30 a.m. Preparing Ph.D. candidates for careers as college Friday, March 26 (cont'd) (28) professors. Henry Frandsen* and Sam Jordan, University of Tennessee, Knoxville (879-98-46)

Special Session on Commutative Ring Theory, I General Session, I 9:00 a.m.-1 0:50 a.m. 9:00 a.m.-10:30 a.m. 9:00 a.m. Primary ideals with finitely generated radical in a (17) commutative ring. 9:00a.m. On the nilpotent representations of GLn(O). Robert Gilmer*, Florida State University, and William (29) Gregory Hill, University of North Texas (879-05-43) Helnzer, Purdue UniverSity, West Lafayette 9:20 a.m. Covering algebras and q-binomial generating (879-13-06) (30) functions. 9:30 a.m. Integral closure and the ring R(X). Preliminary report. Reid Davis* and Carl Wagner, University of (18) Thomas G. Lucas, University of North Carolina, Tennessee, Knoxville (879-05-22) Charlotte (879-13-114) 9:40 a.m. Isomorphisms for convergence structures. 10:00 a.m. On t invertability and comparability. (31) Yeneng Sun, National University of Singapore, (19) J. L Mott*, R. Gilmer, Florida State University, and Republic of Singapore (879-11-07) M. Zafrullah, Winthrop University (879-13-115) 10:00 a.m. Automorphism group actions on the integral (Sponsored by Robert Gilmer) (32) cohomology of curves. Preliminary report. Khomo T. S. Mohapeloa, Pennsylvania State 10:30 a.m. On t-spec(R[[X]]). Preliminary report. University, McKeesport (879-14-149) (20) David E. Dobbs, University of Tennessee, Knoxville, and Evan G. Houston*, University of North Carolina, 10:20 a.m. Prime nonassociative rings with a special derivation. Charlotte (879-13-59) (33) Preliminary report. Ta.ll Suh, East Tennessee State University (879-17-78) Special Session on Algebraic Combinatorics, I Invited Address 9:00 a.m.-10:50 a.m.

9:00 a.m. Disjoint lattice paths and multiple q-series identities. 11:10 a.m.-12:10 p.m. (21) Ira M. Gessel, Brandeis University (879-05-84) (34) On the basic symmetries in probability theory. 9:30 a.m. Octabasic Laguerre polynomials. Olav Kallenberg, Auburn University, Auburn (22) R. Slmlon, George Washington University, and D. (879-60-21) Stanton*, University of Minnesota, Minneapolis (879-05-85) 10:00 a.m. Interpolating set partition statistics. Invited Address (23) Dennis White, University of Minnesota, Minneapolis (879-05-29) 1 :20 p.m.-2:20 p.m. 1 0:30 a.m. nGepn: A new pennutation statistic that arose in string (24) theory. (35) The historical development of computational Dominique Foata, University of Strasbourg, optimization. France, and Doron Zellberger*, Temple University, Richard A. Tapia, Rice University (879-65-151) Philadelphia (879-05-102)

Special Session on Commutative Ring Theory, II Special Session on ·Interventions To Assure Success: Calculus Through Junior Faculty, I 2:30 p.m.-5:20 p.m. 2:30 p.m. Von Neumann regular and principal projective 9:00 a.m.-10:50 a.m. (36) endomorphism rings. Sarah Glaz* and William Wickless, University of 9:00 a.m. Some successful interventions. Connecticut, Storrs (879-13-98) (25) Bettye Anne Case, Florida State University (879-98-38) 3:00 p.m. Utilization of the notion of ch_aracteristic in the theory (37) of modules over valuation rings. 9:30 a.m. An alternative Post-Doc. Radoslav Dlmltrlc, Pennsylvania State University, (26) Cliff Corzatt* and Paul Humke, Saint Olaf College Uniontown (879-13-86) (879-98-95) 3:30 p.m. Bounds for one-dimensional rings of finite 10:00 a.m. Newly-hired faculty at a large research university: (38) Cohen-Macaulay type. (27) S.etting the stage for success. Roger Wiegand and Sylvia Wiegand*, University of Pat Shure, University of Michigan, Ann Arbor Nebraska, Lincoln and Purdue University, West (879-98-142) Lafayette (879-13-87)

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

4:00p.m. Factorization sets and half-factorial sets in integral 4:30 p.m. R-contact manifolds and flows. (39) domains. Preliminary report. (51) Philippe Ruklmblra, Florida International University David F. Anderson, University of Tennessee, (879-58-()4) Knoxville, William W. Smith, University of North Carolina, Chapel Hill, and Scott T. Chapman•, Trinity University, San Antonio (879-13-80) 4:30 p.m. Commutative semirings and their lattices of ideals. Special Session on Sturm-Liouville (40) Francisco Alarcon, Indiana University of Operators, Applications, and Extensions, II Pennsylvania, and D. D. Anderson•, University of Iowa (879-13-42) 5:00 p.m. Torsion In tensor products of modules. Preliminary 2:30 p.m.-4:50 p.m. (41 ) report. Craig Huneke and Roger Wiegand*, Purdue 2:30 p.m. Eigenvalue ratios for Sturm-Liouville operators. University, West Lafayette (879-13-56) (52) MarkS. Ashbaugh*, University of Missouri, Columbia, and Rafael D. Bengurla, Pontificia University Catolica, Chile (879-34-51) Special Session on Optimal 3:00 p.m. Continuous spectrum Eigenfunction expansions and (53) the Cauchy problem in L 1 (R). Control and Applications, I David E. Edmunds, University of Sussex, England, and Robert M. Kauffman*, University of Alabama, 2:30 p.m.-4:50 p.m. Birmingham (879-47-52) 3:30 p.m. A spectral analysis for self-adjoint operators generated 2:30 p.m. Control of smart material structures. (54) by a class of second order difference equations. (42) H. T. Banks, North Carolina State University Steve Clark, University of Missouri, Rolla (879-47-53) (879-93-155) 4:00 p.m. Resolvent estimate for Dirac operators. 3:00 p.m. Covariance based control of nonlinear point dissipative (55) Chris Pladdy, Yoshlmi Saito, University of Alabama, (43) systems. Preliminary report. Birmingham, and Tomlo Umeda*, Himeji Institute of James Reneke*, Anll Bose and Alan Cover, Technology, Japan (879-47-62) Clemson University (879-93-57) 3:30 p.m. Models of stock prices, optimal portfolio management, 4:30 p.m. Eigenparameter dependent boundary conditions for (44) and nonlinear fiitering. (56) Sturm-Liouville problems. Raymond Rishel, University of Kentucky (879-93-70) Paul Binding•, University of Calgary, and Patrick J. (Sponsored by Ben Fitzpatrick) Browne, University of Saskatchewan (879-34-65) 4:00 p.m. Nearly optimal control of stochastic systems with (45) unknown parameter processes. G. Yin*, Wayne State University, and Q. Zhang, Special Session on Numerical University of Kentucky (879-93-103) Methods in Optimization, II 4:30 p.m. Nonsmooth optimization and some free boundary (46) value problems. Srd)an Sto)anovlc, University of Cincinnati 2:30 p.m.-4:50 p.m. (879-35-71) 2:30 p.m. On the use of high order CFD codes for function (57) evaluation in optimization based design of fluid flow Special Session on ·variational systems. · John A. Burns, Virginia Polytechnic Institute and Problems in Geometry, I State University (879-49-74) (Sponsored by Michael Shearer) 2:30 p.m.-4:50 p.m. 3:00 p.m. Optimization of complex, coupled systems: (58) Muitidisciplinary design optimization. 2:30p.m. On the Betti numbers of Alexandrov spaces. R. M. Lewis, Rice University (879-65-139) (Sponsored (47) Zhong-dong Llu*, University of South Carolina, by Richard A. Tapia) Columbia, and Zhongmln.Shen, University of Michigan, Ann ArbOr (879-53-47) 3:30 p.m. Control of a nonlinear beam. (59) H. T. Banks and Belinda B. King•, North Carolina 3:00p.m. Harmonic maps into nonpositlvely-curved metric State University (879-93-118) (Sponsored by Michael (48) spaces. · Nicholas Korevaar*, University of Utah and Institute Shearer) for Advanced Study, and Richard M. Schoen, 4:00 p.m. A globally and superlinear/y convergent potential Stanford University and Institute for Advanced Study (60) reduction interior point method for convex (879-53-165) programming. 3:30p.m. A soft differentiable sphere theorem. Renato Monteiro, University of Arizona, and Stephen (49) Karsten Grove, University of Maryland, College Park, Wright*, Argonne National Laboratories, Illinois and Frederick Wilhelm*, State University of New (879-90-02) (Sponsor9d by Michael Shearer) York, Stony Brook (879-51-50) 4:30 p.m. An interior-point type algorithm for constrained 4:00p.m. Some loose ends in integral geometry. (61) nonlinear optimization. (50). Michael E. Gage, University of Rochester, and Ralph Jon W. Tolle* and Paul T. Boggs, University of North Howard*, University of South Carolina, Columbia Carolina, Chapel Hill (879-65-116) (Sponsored by (879-53-154) Michael Shearer)

MARCH 1993, VOLUME 40, NUMBER 3 253 Program of the Sessions

...... - ...... - ... --...... --.-·...... ----...... -...·--··------.. ·-·-·-·---·····"''''"'''''''"'''"'""""'""""''""'''"''""''"""

(cont'd) Friday, March 26 Special Session on Algebraic Combinatorics, II

Special Session on Continua Theory 2:30 p.m.-5:20 p.m. and Dynamical Systems, II

2:30 p.m. 0 1 -classes and lexicographically first reduced words. 2:30 p.m.-4:50 p.m. (75) Paul H. Edelman, University of Minnesota, Minneapolis (879-Q5-55) (Sponsored by Michelle L. Wachs) 2:30 p.m. Cantor sets in the unit disk invariant under lifts of (62) pseudo-Anosov diffeomorphisms. Lev Slutskln, New York, New York (879-57-26) 3:00 p.m. Pieri's rule for Schubert polynomialS. (76) Nantel Bergeron*, Harvard University, and Sara C. 3:00 p.m. Pseudocircles in perturbable dynamical systems. BUley, Massachusetts Institute of Technology (63) Judy Kennedy*, University of Delaware, and James (879-05-145) (Sponsored by Michelle L. Wachs) Yorke, University of Maryland, College Park (879-54-129) · 3:30 p.m. Balanced diagrams, reduced decompositions, Schur 3:30 p.m. Fixed prime ends and fiXed points. (77) functions, and Schubert polynomials. (64) K. Kuperberg, Auburn University, Auburn (879-58-34) Curtis Greene, Haverford College (879-05-146) 4:00 p.m. Dehn's lemma and prime ends. Preliminary report. (65) Beverly L. Brechner and Joo S. Lee*, University of 4:00 p.m. Eigenvalues of random matrices. Florida (879-57-89) (78) Persl Dlaconls, Harvard University (879-o5-112) (Sponsored by Michelle L. Wachs) 4:30 p.m. Solenoids and bihomogeneity. (66) Piotr Mine, Auburn University, Auburn (879-54-124) 4:30 p.m. Orthogonal analogs of semistandard Young tableaux (79) and Gelfand patterns. Robert A. Proctor, University of North Carolina, Special Session on Stochastic Processes, I Chapel Hill (879-Q5-64)

5:00 p.m. Straightening coefficients for supersymmetric 2:30 p.m.-6:05 p.m. (80) bitableaux. Rosa Ql Huang, Virginia Polytechnic Institute and 2:30 p.m. Asymptotics of branching systems and nonlinear State University, and Nell L. White*, University of (67) pde's. Florida (879-Q5-111) Luis Gorostlza, CIEA-IPN, Mexico (879-60-15) 2:55 p.m. Finite dimensional Hida distributions. (68) I. Kubo, Hiroshima University, Japan, and H.-H. Kuo*, Louisiana State University, Baton Rouge (879-60-16) Special Session on Interventions To Assure Through Junior Faculty, II 3:20 p.m. On stability of solutions of stochastic evolution Success: Calculus (69) equations. R. Khasmlnskl, Wayne State University, and V. Mandrekar*, Michigan State University (879-60-49) 2:30 p.m.-4:50 p.m. (Sponsored by Habib Salehi) 3:45 p.m. Random walks in matrices and attractors. 2:30 p.m. Success at Michigan for African Americans in graduate (70) Arunava Mukher)ea, University of South Florida (81) mathematics programs. (879-60-140) (Sponsored by Kenneth L. Pothoven) Janice B. Walker, Xavier University (879-98-166) 4:10 p.m. Discussion (Sponsored by Bettye A. Case) 4:30 p.m. Error estimates for the numerical integration of certain (71) random fields over curves and surfaces. 3:00p.m. Nurturing.women and minority g11Jduate students. Loren D. Pitt, University of Virginia (879-60-156) (82) Richard 18pla, Rice University (879-98-153)

4:55 p.m. A semi-group generated by the Levy Laplacian. 3:30 p.m. Recruiting and retaining women and minority students. (72) Klmlakl Saito, Meijo University, Japan and Louisiana (83) Mary W. Gray, American University (879-98-96) State University, Baton Rouge (879-60-19) (Sponsored by Hui-Hsiung Kuo) 4:00 p.m. Discussion 5:20 p.m. Effects of random vibrations. (73) Volker Wlhstutz, University of North Carolina, 4:30 p.m. A comprehensive approach can make the difference. Charlotte (879-60-40) (84) Preliminary report. 5:45 p.m. Stochastic burgers' flows. Preliminary report. Stephen A. Doblln, University of Southern Mississippi (74) Wo)bor A. Woyczynskl, Case Western Reserve (879-98-61) University (879-60-133)

254 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Program of the Sessions

Saturday, March 27 Special Session on Continua Theory and Dynamical Systems, Ill

Special Session on Sturm-Liouville 8:00 a.m.-10:20 a.m. Operators, Applications, and Extensions, Ill 8:00 a.m. A homeomorphism ofR3 almost periodic but not (96) periodic on an indecomposable continuum. 8:00 a.m.-10:50 a.m. Piotr Mine and William R. R. Transue*, Auburn University, Auburn (879-54-123) 8:00 a.m. A theory of weighted Poincare inequalities. Preliminary 8:30 a.m. Group actions on R-trees. Preliminary report. (85) report. (97) R. J. Fokkink, Delft University of Technology, Richard Brown*, University of Alabama, Tuscaloosa, Netherlands, and L. G. Oversteegen*, University of David Edmunds, University of Sussex, England, and Alabama, Birmingham (879-54-119) Jiri Rakosnik, Mathematical Institute, Czechoslovakia (879-35-73) 9:00 a.m. Prime ends and dynamics of the plane. (98) James T. Rogers, Jr., Tulane University (879-58-82) 8:30 a.m. Molecular propagation through electron energy level (86) crossings. 9:30 a.m. Every attractor of a flow on a manifold has the shape George A. Hagedorn, Virginia Polytechnic Institute (99) of a finite polyhedron. and State University (879-81-91) Jack Segal, University of Washington (879-54-104) 9:00 a.m. Asymptotics of Eigenvalues for Sturm-Liouville 10:00 a.m. A Nielsen type theorem for area preserving (87) problems with an interior singular;iy. (100) homeomorphisms of the two disc. B. J. Harris*, Northern Illinois University, and D. Race, Edward E. Slaminka*, Auburn University, Auburn, University of Surrey, England (879-34-92) Morton Brown, University of Michigan, Ann Arbor, and Kenneth Boucher, University of Utah theorem 9:30 a.m. A discrete interpretation of Reid's roundabout (879-54-125) (88) for generalized differential systems. Preliminary report. Calvin D. Ahlbrandt, University of Missouri, Columbia, Stephen L. Clark, University of Missouri, Rolla, John W. Hooker and William T. Patula*, Special Session on Commutative Ring Theory, Ill Southern Illinois University,. Carbondale (879-39-93) 10:00 a.m. On the uniqueness problem in one-dimensional (89) inverse scattering. 9:00 a.m.-10:50 a.m. Martin Klaus, Virginia Polytechnic Institute and State 9:00 a.m. Formal fibers and birational extensions. (879-81-94) (Sponsored by Don B. Hinton) University (101) William J. Heinzer*, Purdue University, West 10:30 a.m. On Hill's equation with Picard potentials. Preliminary Lafayette, Christel Rotthaus, Michigan State (90) report. University, and Judith D. Sally, Northwestern Rudl Welkard, University of Alabama, Birmingham University (879-13-44) (879-34-131) 9:30 a.m. On equimultiple ideals. (102) Klshor Shah, Southwest Missouri State University (879-13-67) Special Session on Numerical 10:00 a.m. Reduction numbers, Rees algebras, and Pfaffian Methods in Optimization, Ill (103) ideals. Preliminary report. lan M. Aberbach, Purdue University, West Lafayette, Sam Huckaba*, Florida State University, and Craig 8:00 a.m.-10:20 a.m. Huneke, Purdue University, West Lafayette (879-13-30) 8:00a.m. lmplicity restarted Amoldimethods for large scale a.m. Depth formulas for certain graded rings associated to (91) Eigenvalue problems. 10:30 D. C. Sorensen*, Rice University, and Phuong Vu, (104) an ideal. Sam Huckaba, Florida State University, and Thomas Cray Research, Inc., Texas (879-65-35) (Sponsored by Marley*, University of Nebraska, Lincoln (879-13-54) Michael Shearer) 8:30 a.m. A conservative semi-Lagrangian method. (92) J. S. Scroggs, North Carolina State University (879-86-108) Special Session on Algebraic Combinatorics, Ill 9:00 a.m. A GMRES-backtracking Newton iterative method. (93) Preliminary report. 9:00 a.m.-10:50 a.m. Homer F. Walker, Utah State University (879-65-117) 9:30 a.m. Inexact Newton methods for singular problems. 9:00 a.m. Nonnegative Half polynomials. (94) C. T. Kelley* and Z. Xue, North Carolina State (105) Lynne M. Butler*, Haverford College, and Alfred W. University (879-65-12) (Sponsored by Michael Hales, Center for Communications Research, Shearer) California (879-05-113) 10:00 a.m. Sufficient conditions and the gradient projection 9:30 a.m. Some particular entries of the two-parameter (95) method in sets of functions with range in a polyhedron. (106) Kostka-matrix. J. C. Dunn, North Carolina State University John Stembridge, University of Michigan, Ann Arbor (879-49-75) (Sponsored by Michael Shearer) (879-05-36)

·------~-····· MARCH 1993, VOLUME 40, NUMBER 3 255 ···············-··············-·······---···-·--·-··-·.. -·····-···-····-·-·-····-···-·-··-·--·------Program of the Sessions

Saturday, March 27 (cont'd) Invited Address

11:10 a.m.-12:10 p.m.

10:00 a.m. The decomposition of a bi-graded left regular (118) Homology of partially ordered sets of partitions. (107) representation of Sn. Michelle L Wachs, University of Miami (879-06-134) Edward E. Allen, Wake Forest University (879-05-109)

10:30 a.m. Factorizations of Pieri rules for Macdonald Invited Address (108) polynomials. A. M. Garsla* and M. Halman, University of California 1 :20 p.m.-2:20 p.m. at San Diego, La Jolla (879-05-101) (119) The dynamics and topology of iterated cubic polynomials. Paul Blanchard, Boston University (879-30-100) General Session, II

9:00 a.m.-10:50 a.m. Special Session on Commutative Ring Theory, IV

9:00 a.m. A simple proof of the Bieberbach conjecture. 2:30 p.m.-5:30 p.m. (109) Pavel G. Toclorov, Paissii Hilendarski University, Bulgaria (879-30-10) (Sponsored by Maxwell 0. 2:30 p.m. Minimal polynomials, resultants, generalized character Reade) (120) polynomials and polynomial automorphisms. Jle-Tal Yu, University of Notre Dame (879-13-160) 9:20 a.m. Answer to a query eonceming the mapping w = z1fm 3:00 p.m. Standard bases in formal power series rings. (110) Thomas L. McCoy, Michigan State University · (121) Yonghao Ma, Southwest Texas State University (879-30-14) (879-13-13) 9:40 a.m. Constructing the spherical harmonics. 3:30 p.m. Power residue symbols and the central sections of (111) Allan Fryant, Jamestown College (879-33-76) (122) S£(2, A). Douglas Costa* and Gordon Keller, University of 10:00 a.m. On stochastic global smoothness. Preliminary report. Virginia (879-20-23) (112) George A. Anastasslou*, Memphis State University, and Heinz H. Gonska, European Business School, 4:00 p.m. The Galois module structure of the ring integers in Germany (879-41-20) (123) wildly-ramified cyclic extensions. G. Griffith Elder* and Manohar M. Madan, Ohio 10:20 a.m. Complex white noise and derivative versions of Ito's State University, Columbus (879-13-161) (113) formula. 4:30 p.m. Discussion David Betounes, University of Southam Mississippi (879-60-81) 10:40 a.m. Unbiased estimation in.the presence of an outlier. Special Session on Optimal (114) Kandasamy Selvavel, Claflin College (879-62-18) Control and Applications, II

2:30 p.m.-4:50 p.m. Special Session on Interventions To Assure Success: Calculus Through Junior Faculty, Ill 2:30 p.m. Optimal trapping strategies for diffusing (124) nuisance-beaver populations. Ray Huffakar*, Washington State University, M.G. Bhat and Suzanne Lenhart, University of Tennessee, 9:30 a.m.-10:50 a.m. Knoxville (879-49-01) · 3:00 p.m. Bilinear optimal control of a Kirchhoff plate. 9:30 a.m. Evolutionary intervention programs - The FAMU (125) M. E. Bradley*, University of Louisville, and Suzanne (115) method. Preliminary report. Lenhart, University of Tennessee, Knoxville Donald Cole* and Roselyn Williams, Florida A & M (879-35-66) Universi~ (879-98-48) 3:30 p.m. Optimal control for competitive parabolic systems. 10:00 a.m. SCAMP laboratories at Clemson University for (126) Vladimir Protopopescu, Oak Ridge National (116) Calculus and Pre-Calculus. Preliminary report. Laboratory, Tennessee (879-49-72) T. Gilmer Proctor, Clemson University (879-98-68) 4:00 p.m. · Optimal switching eontrol for diffusions. (Sponsored by Bettye A. Case) (127) Arthur Helnrlcher, Worcester Polytechnic Institute by Ben Fitzpatrick) 10:30 a.m. MathExcel, an intervention in first year Calculus on (879-93-97) (Sponsored G. (117) behaff of women, minorities, and rural students. 4:30 p.m. Diffusion approximation for controlled queues. Michael Freeman, University of Kentucky (128) Michael Taksar, State University of New York, Stony (879-98-135) Brook (879-93-148) (Sponsored by Ben G. Fitzpatrick)

256 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Program of the Sessions

Special Session on Numerical Special Session on Variational in Optimization, IV Problems in Geometry, II Methods 2:30 p.m.-4:50 p.m. 2:30 p.m.-4:50 p.m. 2:30 p.m. On the convergence of pattern search methods. (139) Virginia Torczon, Rice University (879-65-27) 2:30 p.m. A convergence theorem for Riemannian submanifolds. (Sponsored by Michael Shearer) (129) Zhongmln Shen, University of Michigan, Ann Arbor (879-53-99) 3:00 p.m. An implicit filtering algorithm for optimization of (140) functions with many local minima. 3:00 p.m. On the functionallogdet and related flows on the P. Gilmore• and C. T. Kelley, North Carolina State (130) space of embedded curves on a sphere. University (879-49-58) Dan Burghelea, Thomas Kappeler, Patrick 3:30 p.m. Fast numerical determination of symmetric sparsity McDonald*, Ohio S1ate University, Columbus, (141) patterns. and Leonid Friedlander, University of Arizona Richard G. Carter, Stoner·Associates Incorporated, (879-58-137) (Sponsored by Conrad P. Plaut) Texas (879-49-69) p.m. A Bayesian approach to robustness in the linear 3:30 p.m. Metric and topological stability in a theorem of F. 4:00 (131) Schur. (142) regulator. Ben G. Fitzpatrick, North Carolina State University Igor Nlkolaev, University of Illinois, (879-93-88) Urbana-Champaign (879-53-63) 4:30 p.m. Augmented Lagrangian method with second order 4:00 p.m. Yang-Mills connections with an SU(2) symmetry. (143) update. (132) Jan Segert*, University of Missouri, Columbia, and . Kazufuml Ito, North Carolina State University Lorenzo Sadun, University of Texas, Austin (879-65-163) (Sponsored by Michael Shearer) (879-81-136)

4:30 p.m. On the analytic torsion. Preliminary report. (133) Dan Burghelea, Thomas Kappeler*, Ohio State Special Session on Continua Theory University, Columbus, and Leonid Friedlander, and Dynamical Systems, IV University of Arizona (879-53-130) (Sponsored by Conrad P. Plaut) 2:30 p.m.-4:50 p.m. 2:30 p.m. Attractors of flows. Preliminary report. Special Session on Sturm-Liouville (144) James Keesling, University of Florida (879-58-77) 3:00 p.m. The rotation numbers for interval maps: Preliminary Operators, Applications, and Extensions, IV ( 145) report. Alexander M. Blokh, University of Alabama, Birmingham (879-58-128) (Sponsored by Lex G. 2:30 p.m.-4:50 p.m. OVersteegen) 3:30 p.m. Generic hyperbolicity in the real quadratic family. 2:30 p.m. Some new variational estimates of spectra of (146) Grzegorz Swlflek, State University of New York, (134) Sturm-Liouville and similar operators. Stony Brook (879-58-122) Evans M. Harrell, II, Georgia Institute of Technology (879-34-132) 4:00 p.m. Rotation numbers of projectivities. (147) Marc Frantz and Michal Mlslurewlcz*, Indiana 3:00 p.m. A note on the localization of bound states of N-particle University-Purdue University, Indianapolis (879-58-127) (135) systems. (Sponsored by John C. Mayer) Volker Bach, Institute for Theoretical Physics, 4:30 p.m. Riddled basins. Switzerland, Roger T. Lewis*, University of Alabama, (148) J. C. Alexander, Brian Hunt, James A. Yorke*, Birmingham, Elliott H. Lleb, Princeton University, and Zhiplng You, University of Maryland, College Park, Heinz Sledentop, Norwegian lnstHute of Technology, and lttai Kan, George Mason University (879-58-105) Norway (879-35-143)

3:30 p.m. The automatic classification of Sturm-Liouville (136) problems. Special Session on Stochastic Processes, II Charlea T. Fulton•, Florida Institute of Technology, Steven Pruess and Yuantao Xle, Colorado School of Mines (879-45-144) 2:30 p.m.-5:40 p.m. 2:30 p.m. On large deviations for Markov chains. 4:00 p.m. Positive solutions of systems of nonlinear boundary (149) Wlodzimlerz Bryc, University of Cincinnati (137) value problems. (879-60-60) (Sponsored by C. D. Minda) John V. Baxley*, Wake Forest University, and H. B. Thompson, University of Queensland, Australia 2:55 p.m. Stable generalized moving averages. (879-34-152) (150) Stamatls Cambanls*, V. Mandrekar, Jan Rosinski and Donatas Surgallls, University of North Carolina, · 4:30 p.m. Computing continuous spectrum. Chapel Hill (879-60-79) (Sponsored by Malcolm R. (138) Anton ZeHI, Northern Illinois University (879-34-164) Leadbetter)

MARCH 1993, VOLUME 40, NUMBER 3 257 Program of the Sessions

4:00p.m. Connecting characteristic and chromatic polynomials. Saturday, March 27 (cont'd) (159) Preliminary report. Andreas Blass, University of Michigan, Ann Arbor, and Bruce E. Sagan*, Michigan State University (879-52-28) 4:30 p.m. Coxeter-associahedra. 3:20 p.m. Detection of abrupt changes in stochastic dynamical (160) Victor Reiner*, University of Minnesota, Minneapolis, (151) systems. and Gilnter Ziegler, Konrad-Zuse-Zentrum, Germany Kurt Helmes, University of Kentucky (879-93-158) (879-52-45) (Sponsored by Balram S. Rajput) 5:00p.m. Cell structure of partition varieties and rook length 3:45 p.m. One-sided limit theorems and their rates of (161) polynomials. (152) convergence. Kequan Ding, University of Wisconsin, Madison Theodore P. Hill, Georgia Institute of Technology (879-05-17) (879-60-159) 4:10p.m. Discussion 4:30 p.m. Laws of large numbers for negatively dependent Special Session on Interventions To Assure (153) random variables. Success: Calculus Through Junior Faculty, IV Abolghassen Bozorgnia, Mashhad University, Iran, Ronald F. PaHerson* and Robert L. Taylor, University of Georgia (879-60-09) 2:30 p.m.-4:30 p.m. 4:55p.m. Stable processes with sample paths in Orlicz spaces. 2:30 p.m. Scholars in mathematics at Spelman. (154) Rimas Norvaisa, Lithuanian Academy of Science, (162) Wanda M. PaHerson, Spelman College (879-98-157) Lithuania, and Gennady Samorodnitsky*, Cornell 3:00 p.m. Calculus calculator or the poor man's version of University (879-60-33) (Sponsored by Jan Rosinski) (163) mathematics. 5:20 p.m. Robust decoupling inequalities. Bruno Guerrieri, Florida A & M University, (155) Jerzy Szulga, Auburn University, Auburn (879-60-141) Tallahassee (879-98-31) (Sponsored by Roselyn E. (Sponsored by Balram S. Rajput) Williams) 3:30 p.m. The San Antonio pre-freshman engineering program: (164) A mathematics-based minority intervention program. Manuel P. Berriozabal, University of Texas, San Special Session on Algebraic Combinatorics, IV Antonio (879-98-39) 4:00 p.m. Discussion 2:30 p.m.-5:20 p.m. Joseph A. Clma 2:30 p.m. q-analogues of partially ordered sets. Chapel Hill, North Carolina (156) Rodica Simion, George Washington University (879-Q5-83) Robert J. Daverman 3:00 p.m. A combinatorial presentation of the free lie Associate Secretary (157) superalgebra .. Knoxville, Tennessee Guy Melancon, University of Bordeaux, I, France, and Christophe Reutenauer*, University of Quebec (879-05-150) (Sponsored by Michelle L. Wachs) 3:30p.m. The cohomology representations of the k-equal (158) partition lattices and manifolds. Preliminary report. Sheila Sundaram*, Michelle L. Wachs, University of Miami, and Volkmar Welker, Massachusetts Institute of Technology (879-05-110)

---····-·-····----·----·····-······-· ----····----··---·--·---···----·---····-···--·------···--·-··--- 258 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Salt Lake City, Utah University of Utah Aprll 9-10, 1993

Second Announcement

The eight-hundred-and-eightieth meeting of the American versity of Utah, Roger A. Wiegand and Silvia M. Wiegand, Mathematical Society (AMS) will be held on the campus of University of Nebraska at Lincoln. the University of Utah, Salt Lake City, Utah on Friday, April Stochastic processes in population genetics, Stewart N. 9 and Saturday, AprillO, 1993. This meeting is being held in Ethier, University of Utah, and Simon Tavare, University of conjunction with a meeting of the Mathematical Association Southern California. of America (MAA). All sessions will be in the A. Ray Olpin Abstracts for consideration for these sessions should University Union Building. The invited addresses will be in have been submitted by the January 6, 1993 deadline. This the Main Ballroom of the Union Building. deadline was previously published in the Invited Speakers and Special Sessions section of the Notices. There will also be sessions for contributed ten-minute Invited Addresses papers. Abstracts should have been submitted by the January By invitation of the Western Section Program Committee, 29, 1993 deadline previously published in the Calendar of there will be four invited one-hour addresses. The speakers, AMS Meetings and Conferences. Late papers will not be their affiliations, and the titles of their talks where available accommodated. are: Michael Christ, University of California, Los Angeles, Panel Discussion Analytic hypoellipticity, nonlinear eigenvalues, and nilpotent group representations. The Joint Policy Board for Mathematics (JPBM) will sponsor Kenneth M. Golden, University of Utah, Percolation a panel discussion on the rewards system in the mathematical problems in materials science. sciences on Friday, from 5:00 p.m. to 6:30 p.m., in the Robert M. Guralnick, University of Southern California, Ballroom. Calvin C. Moore, Chair of the JPBM Committee Primitive permutation groups and coverings of curves. on Professional Recognition and Rewards, will present an MichaelS. Waterman, University of Southern California, interim report of the committee. Other panelists will react to Sequence comparison in molecular biology. the report, and questions and comments will be taken from the audience.

Special Sessions and Contributed Papers Registration By invitation of the same committee, there will be six special The meeting registration desk will be located in the West sessions of selected twenty-minute papers: The topics of these Ballroom of the University Union Building and will be open sessions, and the names and affiliations of the organizers, are from 8:00 a.m. to 5:00p.m. on Friday, April 9, and 8:00 a.m. as follows: to noon on Saturday, April10. The registration fees are $30 Partial differential equations and several complex vari­ for members of the AMS, $45 for nonmembers, and $10 for ables, M. Salah Baouendi and Linda P. Rothschild, Univer­ emeritus members, students, or unemployed mathematicians, sity of California San Diego. payable by cash, check, or Visa or MasterCard credit card. Effective properties of inhomogeneous materials, Andrej There will be a special $5 one-day fee for MAA members on Cherkaev and Kenneth M. Golden, University of Utah. Friday only. Hopf algebras and Hopf algebra actions, Davida Fis­ chman, University of Southern California. Accommodations Singularities of geometric partial differential equations, Libin Mou, University of Southern California, and Nat Rooms have been blocked for participants at the Doubletree Smale, University of Utah. Hotel, University Park Hotel, and the Quality Inn. The Commutative algebra and modules, Paul Roberts, Uni- University Park Hotel is within walking distance of the

MARCH 1993, VOLUME 40, NUMBER 3 259 Meetings campus, with the Doubletree and the Quality Inn located Parking centrally in downtown Salt Lake City. All three hotels offer There shuttle service to and from Salt Lake International Airport. is a visitor's parking lot located directly East of the University Union Building which Participants should make their own arrangements with the charges $1.00 per hour. Parking permits for Friday can hotel of their choice and ask for the AMS conference be purchased at the registration desk rate. All rates are subject to applicable tax. The AMS is for approximately $2.25. There is ample free parking not responsible for rate changes or the quality of the available on Saturdays. accommodations offered by these hotels/motels. Travel and Local Information University Park Hotel The nearest airport to the university is Salt Lake International 480 Wakara Way, Salt Lake City, UT 84108 Airport which is served by most major airlines. There is Telephone: 801-581-1000 no convenient public transportation from the airport to the Single or Double $65 university, and a taxi is the only direct means of transportation. Reservations must be made by March 26, 1993. Most hotels provide shuttle service to and from the airport. There is ample public transportation from the downtown Doubletree Inn hotels to the university. 215 West South Temple, Salt Lake City, UT 84101 Salt Lake City is organized in a cartesian coordinate Telephone: 801-531-7500 system, with the origin at the Church of the Latter Day Saints Single or Double $57 Temple in the middle of downtown. There are seven blocks Reservations must be made by March 26, 1993. to a mile (a block= 100 units in the coordinate system). The nearest comer of the university to the origin is at 100 South Quality Inn City Center Street and 1340 East Street. The two major Interstates are 1-15 154 West 600 South Temple, Salt Lake City, UT 84101 which runs North-South roughly along 300 West Street, and Telephone: 801-521-2930 1-80 which comes in from the East and merges with 1-15 for several miles, then continues West along 100 North Street. Single or Double $45 Reservations must be made by March 19, 1993. Weather and Local Attractions In the first half of April the average high temperature is Food Service between 50°F and 60°F, and the average low temperature is 40°F. Rain and some snow is possible. The University Union Building offers a reasonable variety of cafeteria-style food services on a cash basis. There are a very Lance W. Small small number of restaurants located within walking distance Associate Secretary of campus. La Jolla, California

Conference Proceedings, Canadian Mathematical Society Category Theory 1991 R. A. G. Seely, Editor Representing the diversity of the field, the subjects covered here range from topology and geometry to logic and theoretical computer science, from homotopy to braids and conformal field theory. Although generally aimed at experts in the various fields represented, the book provides an excellent opportunity for nonexperts to become acquainted with the diversity of current applications of category theory.

1991 Mathematics Subject Classification: 18; 00 ISBN o-8218-60111-6, 447 pages (softcover), October 1992 Individual member $46, Ust price $76, Institutional member $61 CMS individual members can order at the individual member price. To order, please specify CMSAMS/13NA All prices subject to change. Free shipment by surface: for air delivery, please add $6.50 per title. Prepayment re­ quired. Order from: American Mathematical Society, P.O. Box 5904, Boston, MA 02206-5904, or call toll free 800-321- 4AMS in the U.S. and Canada to charge with VISA or MasterCard. Residents of Canada, please include 7% GST.

260 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Meetings

z

·------MARCH 1993, VOLUME 40, NUMBER 3 261 Washington, D.C. Howard University April 17-18, 1993

Second Announcement

The eight-hundred-and-eighty-first meeting of the American Undergraduate research in applied mathematics, Anant Mathematical Society (AMS) will be held at Howard Uni­ P. Godbole, Michigan Technical University, and Gary J. versity in Washington, D.C., on Saturday and Sunday, April Sherman, Rose-Hulman Institute of Technology; 17 and 18, 1993. Additional related events will be held on Undergraduate research in pure mathematics, Anant P. Friday evening, April 16. Invited addresses will be held in Godbole and Gary J. Sherman; the auditoria in Just Hall, Downing Hall, and Locke Hall on Pure and applied recursion theory, Valentina Harizanov, Saturday and in Douglass Hall on Sunday. George Washington University, and Jim Owings, University Invited Addresses of Maryland, College Park; Ergodic theory, dynamical systems, and applications, By invitation of the Eastern Section Program Committee, Kevin Hockett and E. Arthur Robinson, George Washington there will be four invited one-hour addresses. The speakers, University; their affiliations, the titles of their talks, and the scheduled History of mathematics, Victor J. Katz, University of the times of presentation are: District of Columbia; Fan Chung, Bell Communications Research, Graphs in Low dimensional topology, Yongwu Rong, George Wash­ representation theory, 11:00 a.m., Saturday, Apri117. ington University; Leopold Flatto, AT&T Bell Labs, Geodesic flows and continued fractions, 1:30 p.m., Sunday, April18. Nonlinear elliptic problems in geometry and physics, Joel Joel Sprock, Johns Hopkins University, Existence the­ Sprock. orems for convex surfaces of constant Gauss curvature in Abstracts for consideration for these sessions should hyperbolic space, 11:00 a.m., Sunday, Apri118. have been submitted by the January 6, 1993 deadline. This A. Zamolodchikov, Rutgers University, Studying two deadline was previously published in the Invited Speakers and dimensional quantum field theory-Up the down staircase, Special Sessions section of the Notices. 1:30 p.m., Saturday, April17. There will also be sessions for contributed ten-minute papers. Abstracts should have been submitted by the January Special Sessions and Contributed Papers 29, 1993 deadline previously published in the Calendar of AMS Meetings and Conferences. Late papers will not be By invitation of the same committee, there will be thirteen special sessions of selected twenty-minute papers. The topics accommodated. of these sessions, and the names and affiliations of the Panel Discussion organizers, are as follows: Geodesic flows, hyperbolic geometry, and symbolic dy­ The Joint Policy Board for Mathematics (JPBM) will sponsor namics, Roy L. Adler, Thomas J. Watson Research Center, a panel discussion on the rewards system in the mathematical ffiM, and Leopold Flatto; sciences on Saturday, from 5:15p.m. to 6:30p.m. Richard Dilation and interpolation: operator theoretic methods, Herman, Chair of the JPBM, will present an interim report Joseph Ball, Virginia Polytechnic Institute and State Univer­ of the JPBM Committee on Professional Recognition and sity, and Cora Sadosky, Howard University; Rewards. Wavelets in sampling theory and signal processing, John J. Benedetto, University of Maryland, and Rodney Kerby, Council Howard University; Geometric methods in combinatorics, Joseph E. Bonin, The Council of the Society will meet at 7:00 p.m. on George Washington University; Saturday, Apri117, 1993, in the Founders Ballroom at the Graph theory, Nathaniel Dean, Bellcore; Howard University Inn located ·at 2225 Georgia Avenue, Mathematics of two-dimensional quantum field theory, N.W., Washington, D.C. 20001, on the Howard University Edward Frenkel, Harvard University; campus .

...... -...... _...... -...... , __ ...... _._,,,,.. _, .. _,.,... _.. , ____ ,,_,...... _. __ .. ____ ,_. ___ , ...... _.. ,,.,_. __ ... ____ .,. __ ._,_.__ 262 NOTICES OF THE AMERICAN MATHEMATICAL sOciETY Meetings

Registration Joplin's Restaurant. Entrees at Joplin's range in price from $15 to $20. In addition, the student cafeteria in the Blackburn The meeting registration desk will be located in the lobby by Center will be open. the auditorium in Just Hall and will be open from 8:00 a.m. to 5:00p.m. on Saturday, Aprill7, and 8:00a.m. to noon on Parking Sunday, April18. The registration fees are $30 for members and Local 'fravel Arrangements of the AMS, $45 for nonmembers, and $10 for emeritus Parking is permitted and free of charge on Saturday and members, students, or unemployed mathematicians, payable Sunday in several lots near campus. Most convenient for by cash, check, or Visa or MasterCard credit card. registration is the lot on the southeast comer of Fourth and Accommodations Bryant Streets. The Howard University-Shaw Metro stop on the Green Line of the subway system is five blocks south of A block of rooms is being held at the Howard University Inn. campus on Seventh Street, N.W. Participants should call202-462-5400 and identify themselves as being with the 881st AMS meeting. All reservations must 'fravel and Local Information be submitted and guaranteed by March 16, 1993 to insure availability and the group discount rates. The rates are $72 Washington, D.C. is served by Amtrak and by three major single, $82 double, $92 triple, and $102 quadruple. There is airports: National Airport, Washington/Dulles Airport, and an 11% sales tax and $1.50 occupancy fee per room per night. Baltimore/Washington International (BWI) Airport. Taxis are Although rooms have not been blocked at the following available at all airports, but are quite expensive. (Fares from locations, they are included for your information. Rates National, Dulles, and BWI are approximately $8, $35, and are subject to change and any applicable tax. The Silver $40 respectively.) Spring Holiday Inn is 20 minutes by car and 30 minutes National Airport is by far the most convenient airport for by public transportation to the campus; all others are 10 those using public transportation. There is a Metro station at to 20 minutes from campus. Participants should make their the airport which is on the Blue and Yellow Lines. Take the own arrangements with the hotel of their choice. The AMS Yellow Line to Gallery Place and transfer to the Green Line is not responsible for rate changes or the quality of the on the same platform. Then refer to the local travel section accommodations offered by these hotels/motels. above. Shuttle vans are available for $7 from Dulles airport to the Holldaylnn West Falls Church station on the Metro Orange Line. Take the 8777 Georgia Avenue, Silver Spring, MD 20910 Orange Line to L'Enfant Plaza and transfer to the Green Line. Telephone: 301-589-0800 Then refer to the local travel section above. Single $69 Double $79 There is a free shuttle from BWI Airport to an Amtrak station. The ticket from there to Union Station is $10 one-way Comfort Inn and $17 round trip. From there take the Metro Red Line to 500 H Street, N.W., Washington; D.C. 20001 Gallery Place and transfer on the lower level to the Green Telephone: 202-289-5959 Line. Then refer to the local travel section above. Single or Double $59 Weather and Local Attractions Capital Hilton Washington is very likely to be lovely in mid-April. The 100116th Street, N.W., Washington, D.C. 20036 cherry blossoms will no longer be in bloom but many other Telephone: 202-393-1000 flowers and blossoms will be plentiful. Average rainfall for the Single or Double $125-$150 month of April is three inches. The average daily temperature in April is 53°F. Holldaylnn Washington has numerous museums including the Smith­ 1155 14th Street, N.W., Washington, D~C. 20005 sonian Institution's Museum of American History (the one Telephone: 202-737-1200 most people call ''the Smithsonian"), the National Air and Single or Double $89 Space Museum, the Museum of Natural History, and the National Museum of Art. All of these museums are on the Quality Hotel, Capitol Hill Mall which is the parkland stretching from the Capitol to the 415 New Jersey Avenue, N.W., Washington, D.C. 20001 Lincoln Memorial (with the Washington Monument halfway Telephone: 202-638-1616 between) and all are easily accessible by Metro. In addition, Single or Double $59-$99 of course, Washington is the seat of the federal government and one can visit the Capitol, the White House, the Supreme Court, and the many monuments. Food Service Lesley M. Sibner Several fast food restaurants are located on Georgia Avenue Associate Secretary near the university, and the Howard Inn has a coffee shop and Brooklyn, New York

-· .. ------·----·------· .. ·---··---····-···--·----·-·-·--- MARCH 1993, VOLUME 40, NUMBER 3 263 Meetings

~

Parking

W Street

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

First Announcement

The eight-hundred-and-eighty-second meeting of the Amer­ Function theory, Linda R. Sons, Northern lllinois Uni­ ican Mathematical Society (AMS) will be held at Northern versity. lllinois University, DeKalb, lllinois, from Thursday, May 20, Probabilistic methods, Joel H. Spencer, New York Uni­ through Sunday, May 23, 1993. Special sessions and sessions versity, Courant Institute of Mathematical Sciences. for contributed papers will be held in DuSable Hall and Cole Discrete groups, Peter Waterman, Northern lllinois Uni­ Hall, ap.d invited addresses will be in the auditoria in Cole versity. Hall. Abstracts for consideration for these sessions should have been submitted by the February 3, 1993 deadline. This deadline was previously published in the Invited Speakers and Invited Addresses Special Sessions section of the Notices. By invitation of the Central Section Program Committee, there The sessions on Number theory, Combinatorics, Analytic will be three invited addresses. The speakers, their affiliations, number theory, Beautiful graph theory, and Probabilistic and the titles of their talks where available are: methods have been coordinated to coincide with the Paul Susan J. Friedlander, University of lllinois at Chicago, Erd6s Birthday Celebration being organized by Northern · Illinois University. Instabilities in fluid motion. Russell D. Lyons, University of Indiana, Bloomington, title to be announced. Contributed Papers Clark Robinson, Northwestern University, title to be There will also be sessions for contributed ten-minute papers. announced. Abstracts should have been submitted by the February 26, 1993 deadline previously published in the Calendar of Special Sessions AMS Meetings and Conferences. Late papers will not be accommodated. By invitation of the same committee, there will be eleven special sessions of selected twenty-minute papers. The topics Registration of these sessions, and the names and affiliations of the organizers, are as follows: The meeting registration desk will be located in the third floor Advances in linear algebf~: theory, computation, applica­ west comer foyer of DuSable Hall, and will be open from 8:00 tion, Gregory S. Ammar, Northern lllinois University. a.m. unti15:00 p.m. on Thursday, May 20, Friday, May 21, Number theory, Michael A. Filaseta, University of South Saturday, May 22, and from 8:00 a.m. until noon on Sunday, Carolina, and Carl Pomerance, University of Georgia. May 23. The registration fees are $30 for members of the Mathematical topics in fluid dynamics, Susan J. Fried­ AMS, $45 for nonmembers, and $10 for emeritus members, students, or unemployed mathematicians, payable by cash, lander. check, or Visa or MasterCard credit card. Combinatorics, Zoltan Furedi, University of lllinois, Urbana. Analytic number theory, Andrew J. Granville, Isaac Events of Other Organizations Newton Institute for the Mathematical Sciences. Northern lllinois University is celebrating the birthday of Paul Beautiful graph theory, Frank Harary, New Mexico Erd6s in conjunction with the meeting. They have arranged State University. for a one-hour mathematical address by Paul Erd6s and for Stochastic processes, Mohsen Pourahmadi, Northern a banquet in his honor (see below). The Erd6s lecture will Illinois University. be at 4:15 p.m., Thursday, May 20, in Room 100 of Cole History ofmathematics, Jeanne LaDuke, DePaul Univer­ Hall. As noted above, a number of the Special Sessions at this sity. meeting are coordinated with the Erd6s Birthday Celebration.

MARCH 1993, VOLUME 40, NUMBER 3 265 ·························~······~~········-·-··--·~-~·····---··------r- Meetings

For further information, contact John Selfridge of Northern Best Western Concord Inn (20 minutes by car from campus) Illinois University. Highway 251 and 1-88, Rochelle, IL 61068 Telephone: 815-562-5551 Social Event Single $55.11 Double $62.20 A banquet honoring Paul Erd6s is planned for Thursday, Super 8 Motel (20 minutes by car from campus) May 20. A cash bar reception from 6:30 p.m. to 7:30 601 Highway 38, Rochelle, IL 61068 p.m will be: followed by dinner at 7:30 p.m. The buffet Telephone: 815-562-2468 dinner includes choice of salads, hand-carved roast baron Single $38.40 Double $46.95 of beef b~ed chicken, mixed vegetables, rice, rolls with butter, ~pple: pie, and beverage. Tickets including tax and gratuity are $25 for each mathematician and $20 for each of their gueE>ts. Tickets must be ordered by May 6, 1993. Food Service Mail orders including your name, affiliation, and a check There are several restaurants and fast payable to :Northern Illinois University should be sent to food establishments within walking distance of campus. Math Conference Banquet, College of Continuing Education, A list of local restaurants will be available at the Registration Desk. Northern Illinois University, DeKalb, IL 60115. Credit card orders can be charged to Visa, MasterCard, or Discover by calling 815-753-0277. Parking Accommodations Free parking is available in Parking Lots S and 38 located west of DuSable Hall. Leave a note on your windshield A block of siJCty-three rooms has been reserved in the Holmes indicating that you are attending the AMS meeting. Enter Student Center Guest Rooms. This air-conditioned facility is lots S and 38 from Annie Glidden Road. ·Parking is likely located on campus and is a five-minute walk to DuSable Hall. to be at a premium on campus at this time because of The rate for~ single room is $37.74 per night. The rate for a several construction projects. Do not use other parking lots double room is $43.29 per night. The rate for a triple room is without first obtaining a visitor's permit from Campus Parking $48.84 per night. All rates include tax. To make a reservation Services. call 815-753~1444 (FAX 815-753-5099). Participants must indicate they are attending the AMS meeting. Although rooms have not been blocked at th~ following Travel and Local Information locations, information is included for your convemence. Rates are subject to change and include tax. Particip~ts s~ould make Northern Illinois University is located in DeKalb, Illinois, 65 their own arr~gements with the hotel of therr chotce and ask miles west of Chicago on the East-West Tollway (1-88) and for the AMS conference rate. The AMS is not responsible 35 miles southeast of Rockford on Route 38. The campus is for rate changes or the quality of the accommodations one-and-one-half miles north of 1-88 on Annie Glidden Road offered by tbese hotels/motels. which is the second DeKalb exit if traveling on 1-88 from the east and the first DeKalb exit if approaching from Days Inn in :f)eKalb (15-minute walk to DuSable Hall) the west. The DeKalb Limousine Service provides 1212 w. r.,incoln Highway, DeKalb, IL transportation to 60115 and from either O'Hare or Midway Telephone: 815-758-2603 International Airports. A one-way trip to or from O'Hare costs $35 per person and Single or Double $49.95 to or from Midway the cost is $45 per person. These rides are cheaper when the limousine is shared. Prior reservations Ho Jo Inn (15-minute walk to DuSable Hall) are required. Call 800-892-2988 or 815-758-0631. 1321 Visa, w. J...,incoln Highway, DeKalb, IL 60115 MasterCard and American Express are accepted. Telephone:: 815-756-7620 Single $38.85 Double $43.29 Weather and Local Attractions Motel6 (15-IJlinute walk to DuSable Hall) 1116 W. Lincoln Highway, DeKalb, IL 60115 The weather in northern Illinois in mid-May is unpredictable. Telephone: 815-756-3398 Temperatures might be as high as the high 70s or as low as . the mid 50s (Fahrenheit). It is recommended Single $24.36 Double $31.02 that participants bring clothes appropriate to either extreme, as well as for the possibility of rain. Oxford Inn ( 10 minutes by car from campus) State Route 23 (at Oakland), DeKalb, IL 60115 Andy R. Magid Telephone: 815-756-3552 Associate Secretary Single $51.06 Double $57.72 Norman, Oklahoma

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

Invited Addresses Gilles Brassard (CMS-MAA) Richard Rhoad at AMS Meetings Avner Friedman (MAA-Mu Alpha Theta The individuals listed below have accepted invitations to (AMS Progress in Lecture) Uri Treisman address the Society at the times and places indicated. For some Mathematics Lecture) (CMS-MAA) meetings, the list of speakers is incomplete. Invited addresses Robert E. Gompf (AMS-CMS) at Sectional Meetings are selected by the Section Program Rickard K. Guy Committee, usually twelve to eighteen months in advance (CMS-MAA Student Lecture) of a meeting. Members wishing to nominate candidates for invited addresses should send the relevant information to the Syracuse, NY, September 1993 the Section who will forward it to the Associate Secretary for Tadeusz Iwaniec James M. Renegar Program Committee. Section Charles A. McGibbon Alvany Rocha

Heidelberg, Germany, October 1993 Salt Lake City, UT, Apri/1993 Gerd Faltings Vaughan F. R. Jones Please see the announcement of this meeting in this issue. Michael J. Hopkins

October 1993 Washington, DC, Apri/1993 College Station, TX, A. Slaman Please see the announcement of this meeting in this issue. Steven P. Lalley Theodore Gilles Pisier Stephan A. Stolz

DeKalb, IL, May 1993 Organizers and Topics Please see the announcement of this meeting in this issue. of Special Sessions The list below contains all the information about Special Sessions at meetings of the Society available at the time this Vancouver, British Columbia, Canada issue of the Notices went to the printer. The section below describes the timetable August 1993 entitled Information for Organizers for announcing the existence of Special Sessions. Because of the special nature of this·4J_temational meeting, all invi~ed_ speakers are included in this listing, and their sponsors are m:dicated. April1993 Meeting in Salt Lake City, Utah Andrews Deborah Hughes Hallett Western Section George E. W. Small (CMS-MAA) Associate Secretary: Lance (7rJl£ Frame Lecture) Deadline for organizers: Expired James G. Arthur Aderemi 0. Kuku Deadline for consideration: Expired (CMS Jeffrey-Williams (AMS-CMS-MAA-NAM) Please see the announcement of this meeting in this issue. Lecture) H. Blaine Lawson Michael Atiyah (AMS-CMS) (MAA Hedrick Lectures) Curt McMullen April1993 Meeting in Washington, DC Eastern Section Armand Borel (AMS-CMS) Associate Secretary: Lesley M. Sibner (AMS Progress in Louis Nirenberg Deadline for organizers: Expired Mathematics Lecture) (AMS-CMS) Deadline for consideration: Expired Jonathan Borwien (CMS-MAA) Jill Pipher (AMS-CMS) Please see the announcement of this meeting in this issue.

MARCH 1993, VOLUME 40, NUMBER 3 267 Invited Addresses and Special Sessions

August 1993 Meeting in Vancouver, October 1993 Meeting in College Station, Texas British Columbia, Canada Central Section Associate Secretary: Andy R. Magid Associate Secretary: Lance W. Small Deadline for organizers: Expired Deadline for organizers: Expired Deadline for consideration: July 14, 1993 Deadline for consideration: April 21, 1993 . Josefina Alvarez, Joseph Arkin, David C. Arney, and Mathukumalli V. Subbarao, Harmonic analysis and its applications Problems in number theory in memory ofE. G. Straus Harold P. Boas, AI Boggess, and Emil J. Straube, Several complex variables David M. Austin, Four-manifolds (AMS-CMS). . Randall K. Campbell-Wright, Carl C. Cowen, John 1(. Beem and Krishan L. Duggal, Geometrzc methods zn and Barbara ~· mathematical physics MacCluer, Composition operators on spaces of analytic Alan B. Brownstein and Ronnie Lee, Topological methods in functions · Alfonso Castro, Joseph A. Iaia, John W. Neuberger, and Henry group theory . . . . . A. Nassif Ghoussoub, Variational methods zn partzal differentzal Warchall, Nonlinear partial differential equations equations(AMS-CMS) . Goong Chen and Jianxin Zhou, Control systems governed by partial Jacob E. Goodman, Discrete geometry and convexzty differential equations Tim D. Mark J. Gotay, Symplectic geometry Cochran, Lorenzo A. Sadun, and Philip B. Yasskin, Texas Linda Keen, Dynamical systems (AMS-CMS) geometry and topology David R. Larson, Non self Gerard G. Letac and Paul Sabatier, Exponential families in adjoint operator algebras mathematical statistics ·Edward S. Letzter, Representation theory and geometry of noncommutative algebras James L. Lewis and Barry Mazur, Algebraic cycles (AMS­ John C. Meakin, Amitai Regev, CMS) Mark V. Sapir, and Samuel M. Vovsi, Identities En-Bing Lin, Algebraic and geometric methods in control and varieties of algebraic structures theory Efton L. Park, Noncommutative differential geometry Gilles Pisier and Thomas Schlumprecht, Kenneth C. Millett, Random knotting and linking The geometry of Banach spaces and operator spaces Ram M. Murty and Rajiv Gupta, Number theory (AMS-CM~) Sung Yell Song and Paul M. Terwilliger, Algebraic Gregory Verchota, Harmonic analysis techniques in partial combina­ torics differential equations (AMS-CMS) ·

November 1993 Meeting in Claremont, California September 1993 Meeting in Syracuse, New York Western Section Eastern Section Associate Secretary: Lance W. Small Associate Secretary: Lesley M. Sibner Deadline for organizers: Expired Deadline for organizers: Expired Deadline for consideration: July 14, 1993 Deadline for consideration: April 21, 1993 Douglas R. Anderson, Geometric topology Robert Bruner and Charles A. McGibbon, Algebraic topology January 1994 Meeting in Cincinnati, Ohio Associate Secretary: Robert J. Daverman Steven P. Diaz and Anthony V. Geramita, Commutative Deadline for organizers: April 5, 1993 · algebra and algebraic geometry . . Deadline for consideration: September 23, 1993 Allan Greenleaf and Robert S. Strichartz, Harmonzc analyszs Wu-Teh Hsiang, Differential geometry and global analysis. March 1994 Meeting in Lexington, Kentucky Mark Kleiner and Dan Zacharia, Representations of finite Southeastern Section dimensional algebras Associate Secretary: Robert J. Daverman Juan J. Manfredi, Nonlinear potential theory Deadline for organizers: June 18, 1993 Terry R. McConnell, Topics in proba.bility . Deadline for consideration: To be announced James M. Renegar, Solving polynomzal equatzons and related problems . . . March 1994 Meeting in.Manhattan, Kansas Alvany Rocha, Lie theoretic methods zn mathematzcal physzcs Central Section Associate Secretary: Andy R. Magid Deadline for organizers: June 25, 1993 Deadline for consideration: To be announced October 1993 Meeting in Heidelberg, Germany Andrew G. Bennett and Charles N. Moore, Harmonic analysis (Joint Meeting with the Deutsche and probability Mathematiker-Vereinigung e.V.) Associate Secretary: Robert M. Fossum Andrew L. Chermak and Albert L. Delgado, Groups and Deadline for organizers: Expired geometries Deadline for consideration: April 21, 1993 Louis Crane and David N. Yetter, Quantum topology Joachim Cuntz, Operator algebras Zongzhu Lin and David B. Surowski, Representations of Klas Diederich and John Erik Fornaess, Complex analysis algebraic groups and quantum groups George 1(. Francis, Geometry Joseph M. Rosenblatt, Convergence problems in ergodic Hans-Werner Henn, Homotopy theory theory

_....;.__.. ,_ ...... ,_,,_.,,...... ,_ .. _,_ ····················-··································----.. -·-·· ...... _._ ...... _, ____ ,,,...... _.. , ...... -... - 288 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Invited Addresses and Special Sessions

Misha Vishnik, Dynamical systems and fluid dynamics Information for Organizers Hunan Yang and Qisu Zou, Computational mathematics and Special Sessions at Annual and Summer Meetings are held numerical analysis under the supervision of the Program Committee for National Meetings (PCNM). They are administered by the Associate Secretary in charge of that meeting with staff assistance from April1994 Meeting in Brooklyn, New York Eastern Section the Meetings Department in the Society office in Providence. Associate Secretary: Lesley M. Sibner According to the "Rules for Special Sessions" of the Deadline for organizers: July 9, 1993 Society, Special Sessions are selected by the PCNM from Deadline for consideration: To be announced a list of proposed Special Sessions in essentially the same manner as individuals are selected to give Invited Addresses. The number of Special Sessions at a Summer or Annual June 1994 Meeting in Eugene, Oregon Meeting is limited. The algorithm that determines the number Western Section Associate Secretary: Lance W. Small of Special Sessions ·allowed at a given meeting, while simple, Deadline for organizers: September 7, 1993 is not repeated here, but can be found in "Rules for Special Deadline for consideration: To be 'announced Sessions" on page 614 in the April1988 issue of the Notices. Each person selected to give an Invited Address is invited to generate a Special Session, either by personally organizing August 1994 Meeting in Minneapolis, Minnesota one or by having a Special Session organized by others. Pro­ Associate Secretary: Lesley M. Sibner Deadline for organizers: November 15, 1993 posals to organize a Special Session are sometimes requested Deadline for consideration: To be announced either by the PCNM or by the Associate Secretary. Other proposals to organize a Special Session may be submitted to the Associate Secretary in charge of that meeting (who is an October 1994 Meeting in StiUwater, Oklahoma ex-officio member of the committee and whose address may Central Section be found below). These proposals must be in the hands of the Associate Secretary: Andy R. Magid PCNM at least nine months prior t~ the meeting at which the Deadline for organizers: January 28, 1994 Deadline for: consideration: To be announced Special Session is to be held in order that the committee may consider all the proposals for Special Sessions simultaneously. Proposals that are sent to the Providence office of the Society, November 1994 Meeting in Richmond, Virginia to the Notices, or directed to anyone other than the Associate Southeastern Section Secretary will have to be forwarded and may not be received Associate Secretary: Robert J. Daverman in time to be considered for acceptance. Deadline for organizers: February ll, 1993 It should be noted that Special Sessions must be announced Deadline for consideration: To be announced in the Notices in such a timely fashion that any member of the Society who so wishes may submit an abstract for consideration for presentation in the Special Session before March 1995 Meeting in Chicago, IUinois the deadline for such consideration. This deadline is usually Central Section Associate Secretary: Andy R. Magid three weeks before the deadline for abstracts for the meeting Deadline for organizers: June 24, 1994 in question. Deadline for consideration: To be announced Special Sessions are very effective at Sectional Meetings and can usually be accommodated. The processing of pro­ November 1995 Meeting in Kent, Ohio posals for Special Sessions for Sectional Meetings is handled Central Section · in essentially the same manner as for Annual and Summer Associate Secretary: Andy R. Magid Meetings by the Section Program Committee. Again, no Spe­ Deadline for organizers: February 4, 1995 cial Session at a Sectional Meeting may be approved so late Deadline for consideration: To be announced that its announcement appears past the deadline after which members can no longer send abstracts for consideration for January 1996 Meeting in Orlando, Florida presentation in that Special Session. Associate Secretary: Lance W. Small The Society reserves the right of first refusal for the Deadline for organizers: April 12, 1995 Deadline for consideration: To be announced publication of proceedings of any Special Session. These proceedings appear in the book series Contemporary Mathe­ matics. March 1996 Meeting in Iowa City, Iowa More precise details concerning proposals for and orga­ Central Section nizing of Spechll Sessions may be found in the "Rules for Associate Secretary: Andy R. Magid Deadline for organizers: June 22, 1995 Special Sessions" or may be obtained from any Associate Deadline for consideration: To be announced Secretary.

MARCH 1993, VOLUME 40, NUMBER 3 269 Invited Addresses and Special Sessions

Proposals for Special Sessions to the tation at a Special Session must be received by the Providence Associate Secretaries office (Abstracts Coordinator, Meetings Department, Amer­ The programs of Sectional Meetings are arranged by the ican Mathematical Society, P. 0. Box 6887, Providence, RI Associate Secretary for the section in question: 02940) by the special deadline for Special Sessions, which is Western Section usually three weeks earlier than the deadline for contributed Lance W. Small, Associate Secretary papers for the same meeting. The Council has decreed that Department of Mathematics no paper, whether invited or contributed, may be listed in the University of Californi11, San Diego La Joll11, CA 92093 program of a meeting of the Society unless an abstract of the Electronic mail: [email protected] paper has been received in Providence prior to the deadline. (Telephone 619-534-3590) Electronic submission of abstracts is available to those Central Section who use the 1)3X typesetting system. Requests to receive Andy R. Magid, Associate Secretary the electronic package of files via e-mail should be sent to Department of Mathematics University of Oklahoma [email protected]. Users may also obtain the pack­ 601 Elm PHSC 423 age on ffiM or Macintosh diskettes, available free of charge Norman, OK 73019 by writing to: Electronic Abstracts, American Mathematical Electronic mail: [email protected] Society, Meetings Department, P.O. Box 6887, Providence, (Telephone 405-325-6711) · RI 02940, USA. When requesting the abstracts package, Eastern Section Lesley M. Sibner, Associate Secretary users should be sure to specify whether they want the Department of Mathematics plain 1)3X, ~-1)3X, or the It\1)3X package. Requests for Polytech University of New York general information concerning abstracts may be sent to Brooklyn, NY 11201-2990 [email protected]. Electronic mail: [email protected] (Telephone 718-260-3505) Southeastern Section Number of Papers Presented Robert J. Daverman, Associate Secretary Joint Authorship Department of Mathematics University of Tennessee Although an individual may present only one ten-minute Knoxville, TN 37996-1300 contributed paper at a meeting, any combination of joint Electronic mail: [email protected] authorship may be accepted, provided no individual speaks (Telephone 615-974-6577) more than once. An author can speak by invitation in more As a general rule, members who anticipate organizing Special Sessions at AMS meetings are advised to seek approval at least nine months prior to the than one Special Session at the same meeting. scheduled date of the meeting. No Special Sessions can be approved too late to An individual may contribute only one abstract by title provide adequate advance notice to members who wish to participate. in any one issue of Abstracts, but joint authors are treated as Proposals for Special Sessions at the October 1-3, 1993 meeting in a separate category. Thus, in addition to abstracts from two Heidelberg, Germany, only, should be sent to Robert M. Fossum at the Department of Mathematics, University oflllinois, Urbani!, ll 61801, Telephone: individual authors, one joint abstract by them may also be 217-244-1741, e-mail: [email protected]. accepted for an issue.

Information for Speakers Site Selection for Sectional Meetings A great many of the papers presented in Special Sessions at Sectional Meeting sites are recommended by the Associate meetings of the Society are invited papers, but any member Secretary for the Section and approved by the Committee of of the Society who wishes to do so may submit an abstract for Associate Secretaries and Secretary. Recommendations are consideration for presentation in a Special Session, provided usually made eighteen to twenty-four months in advance. it is received in Providence prior to the special early deadline Host departments supply local information, ten to twelve announced above and in the announcements of the meeting at rooms with overhead projectors for contributed paper sessions which the Special Session has been scheduled. Contributors and Special Sessions, an auditorium with twin overhead should know that there is a limitation in size of a single projectors for invited addresses, and registration clerks. The Special Session, so that it is sometimes true that all places are Society partially reimburses for the rental of facilities and filled by invitation. Papers not accepted for a Special Session equipment, and for staffing the registration desk. Most host are considered as ten-minute contributed papers. departments volunteer; to do so, or for more information, Abstracts of papers submitted for consideration for presen- contact the Associate Secretary for the Section.

270 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY 1993 Summer Seminar in Applied Mathematics The mathematics of tomography, impedance imaging, and integral geometry Mount Holyoke College, South Hadley, Massachusetts, June 7- 18

The twenty-third AMS-SIAM Summer Seminar in Applied David B3!ber, Gregory Beylkin*, Allan Cormack, Leon Mathematics will be held June 7- 18, 1993, at Mount Holyoke Ehrenpreis*, Simon Gindikin*, Sigurdur Helgason, David College, South Hadley, Massachusetts. The seminar will be Isaacson*, Frank Natterer*, Lawrence Shepp*, and Gunther sponsored by the American Mathematical Society and the Uhlmann* (those with * have accepted as of October 21, Society for Industrial and Applied Mathematics (SIAM). It 1992). It is anticipated they will give research talks as well. is anticipated that the seminar will be supported by grants A very preliminary and partial list of other possible speakers from federal agencies. The proceedings of the seminar will includes Carlos Berenstein, Jan Boman, Adel Faridani, Josip be published by the American Mathematical Society in the Globevnik, Fulton Gonzalez, Allan Greenleaf, Eric Grinberg, Lectures in Applied Mathematics series. Alberto Gruenbaum, Gabor Herman, Michael Klibanov, Al­ fred Louis, Wolodymyr Madych, Ziqi Sun, John Sylvester, of the most exciting features of tomography is the One and Michael Vogelius. strong relationship between high-level pure mathematics (such as harmonic analysis, partial differential equations, integral Those interested in attending the Seminar should send geometry, microlocal analysis, and Lie group theory) and the following information before March 15, 1993, to AMS­ applications to medicine, impedance imaging, radiotherapy, SIAM Summer Seminar Conference Coordinator, American Providence, R.I. 02940, and industrial nondestructive evaluation. Mathematical Society, P.O. Box 6887, e-mail [email protected]. Please type or print the following: The aim of the conference is to strengthen the connection between the pure and applied aspects of these areas and 1. Full name; to facilitate dialogue between researchers in the various 2. Mailing address; areas. The seminar will provide introductory talks on tomo­ 3. Telephone number and area code for office and home; graphy, impedance imaging, and integral geometry intended 4. e-mail address if available; for younger researchers and other beginners in the field (in 5. Anticipated arrival and departure dates; the first part of the conference) and a research component 6. Your scientific background relevant to the topic of .the in which researchers will have the opportunity to define and seminar; articulate the main problems of current interest and to isolate 7. Financial assistance requested (please estimate cost of common themes and approaches. A number of the anticipated travel); indicate if support is not required and if interested participants will be experts from foreign countries. in attending even if support is not offered. The organizing committee consists of Margaret Cheney, Participants who wish to apply for a grant-in-aid should Rensselaer Polytechnic Institute; Simon Gindikin, Rutgers so indicate; however, funds available .for the seminar are University;. Peter Kuchment, Wichita State University; Eric very limited and individuals who can obtain support from Todd Quinto (Chair), Tufts University; and Lawrence Shepp, other sources should do so. Graduate students who have Bell Laboratories. completed at least one year of graduate school are encouraged A tentative list of proposed introductory lecturers includes to participate.

MARCH 1993, VOLUME 40, NUMBER 3 271 1993 Summer Research Institute Stochastic analysis Cornell University, Ithaca, New York, July 11-30

The forty-first Summer Research Institute sponsored by the M. Liao, T. Lyons, P. Malliavin, P. March, S. Molchanov, C. American Mathematical Society (AMS) will be devoted to Mueller, D. Nualart, D. Ocone, B. 0ksendal, G. Papanicolaou, Stochastic Analysis and will be held at Cornell University E. Pardoux, E. Perkins, R. Pinsky, M. Rtlckner, C. Rogers, B. from July 11-30, 1993. The Cochairs of the Organizing Com­ Rozovskii, T. Shiga, I. Shigekawa, A. Sznitman, A. Truman, mittee are Mike Cranston, University of Rochester; Rick A.S. Ustunel, M. van den Berg, S. Watanabe, V. WJ.bstutz, R. Durrett, Cornell University; and Mark Pinsky, Northwestern Williams, Z. Zhao, and W. Zheng. University. The speakers were selected with the advice of a It is anticipated that the institute will be partially funded committee that consists of ROdrigo Banuelos, Purdue Uni­ by a grant from the National Science Foundation. Proceedings versity; Peter Baxendale, University of Southern California; will be published in the AMS series Proceedings ofSymposia Hans Follmer, Universitiit Bonn; Nobuyuki Ikeda, Univer­ in Pure Mathematics. It is expected that the papers for the sity of Osaka; Paul Malliavin, Universite Pierre et Marie proceedings will closely parallel the content of the lectures Curie; Alain Sznitman, ETH Zurich; and Ruth Williams, and will be distributed to the conference participants at the University of California, San Diego. time of the lectures. The topic was selected by the 1992 AMS Committee on All persons who are interested in this topic are welcome Summer Institutes whose members at the time were: Craig to attend. The organizers anticipate being able to provide par­ Evans, Nicholas Katz, Barbara Lee Keyfitz, Brian Parshall tial support .for travel and subsistence for young researchers, (Chair), Francois Treves, and Edward Witten. especially women and minorities. Those interested in receiv­ In recent years there have been exciting interactions ing an invitation to participate in the institute should send between probability theory and analysis, geometry, and math­ the following information to: Summer Institute Conference ematical physics, with these three fields furnishing a rich Coordinator, American Mathematical Society, P.O. Box 6887, source of problems for probability theory. The conference Providence R.I. 02940, prior to April 1, 1993, or through will highlight recent achievements in the field and promising electronic mail to [email protected]. directions for future research. The meeting will be divided into six two-and-one-half day periods (Sunday morning to Please type or print the following: Tuesday noon, Wednesday morning to Friday noon, etc.) that 1. Full name; will feature the following topics in the order indicated: 2. Mailing address; 3. Telephone number and area code for office and home, 1. Stochastic ordinary differential equations (7/11-7113) FAX number, and e-mail address; 2. Applications to analysis (7/14-7/16) 4. Which week or weeks you wish to attend; 3. Applications to geometry (7118-7/20) 5. Your scientific background relevant to the institute topic; 4. Stochastic flows (7/21-7/23) 6. Financial assistance required (or indicate if no support 5. Infinite-dimensional problems (7/25-7 /27) required). 6. Stochastic partial differential equations (7/28-7 /30) Information on housing, dining, travel, and the local area The institute will have approximately sixty-six one-hour will be sent to invited participants in the spring. Each par­ lectures, eleven in each period. To allow time and energy for ticipant will be required to pay a conference fee. Questions informal discussions there will be no short talks or parallel about the scientific program can be addressed to any of sessions. The precise content of the meeting will reflect the the organizers, preferably by e-mail to [email protected], interests of the following list of speakers who have indicated [email protected], or [email protected]. Ques­ that they will attend: L. Arnold, S. Albeverio, R. Banuelos, tions about local arrangements should be sent to Rick Durrett P. Baxendale, G. Ben-Arous, I. Benjamini, E. Bolthausen, J. via e-mail or write to him at the Department of Mathematics, Brossard, K. Burdzy, E. Carlen, R. Carmona, K. L. Chung, R. White Hall, Cornell University, Ithaca, NY 14853-7901. Dalang, B. Davis, D. Dawson, B. Driver, E. B. Dynkin, D. Requests for invitations will be forwarded to the Orga­ Elworthy, M. Emery, H. FHllmer, L. Gross, T. Hida, E. Hsu, nizing Committee for consideration up to the deadline of N. Ikeda, G. Kallianpur, W. Kendall, Y. Kifer, S. Kotani, P. Aprill. All applicants will receive formal invitations. Partici­ Kotelenez, N. Krylov, H. Kunita, S. Kusuoka, T. Kurtz, R. pants receiving financial support will be notified beginning in Uandre, F. Ledrappier, J.F. Le Gall, Y. Le Jan, T. Lindstrom, mid-May.

"----········--··--.. --·-··-··--·--········------·-·------··-··--·---·--·-·--- 272 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY 1993 Symposium on Some Mathematical Questions in Biology Theories for the evolution of haploid-diploid life cycles Snowbird, Utah, June 23

The twenty-seventh annual Symposium on Some Mathe­ generations; James Crow (University of Wisconsin) and matical Questions in Biology, focusing on Theories for the Alex Kondrashov (University of Oregon), The evolution evolution of haploid-diploid life cycles, will be held during of haploid-diploid life cycles under deleterious mutation; the annual meeting of the Society for the Study of Evolution, Cheryl Jenkins (University of Texas), Ecological selection June 19-23, 1993, in Snowbird, Utah. The symposium is and deleterious mutation in the evolution of life cycles; sponsored by the American Mathematical Society, the Society Richard Michod (University of Arizona), Genetic repair for Industrial and Applied Mathematics (SIAM), and the and life cycle evolution; Sarah Otto (Berkeley), Genetic Society for Mathematical Biology (SMB). prerequisites and consequences of life cycle evolution; and The AMS-SIAM-SMB Committee on Mathematics in the Veronique Perrot (Universitiit Basel), Experimental tests of Life Sciences serves as the Organizing Committee for the theories for the evolution of haploid-diploid life cycles. symposium. The committee members are Jack D. Cowan, Proceedings of the symposium will be published by the James W. Curren, Marcus W. Feldman, Eric S. Lander, Marc AMS in the series Lectures on Mathematics in the Life Mangel (Chair), and James D. Murray. Mark Kirkpatrick, Sciences. University of Texas, serves as the organizer. For further information on the symposium, contact the The session will be on Wednesday morning, June 23. Symposium Conference Coordinator, AMS, P.O. Box 6887, The speakers and their topics are: Graham Bell (McGill Providence, RI 02940, or [email protected] bye­ University), The comparative biology of the alternation of mail.

Mathematical World Volume 2 Fixed Points Yu. A. Shashkin

Shashkin's book contains a popular exposition of fixed point theory. Theorems on fixed points for continuous maps of a segment, a square, a circle~ and a two-dimensional sphere are proved. All required notions such as continuity, compactness,. and degree of a map are explained. Auxiliary propositions, such as Spemer's lemma, are proved. Applica­ tions and exercises are given. Fixed Points is accessible even to students at the high school level.

1991 Mathematics Suldect Class{ftcation: 01, 54 ISBN 0-8218-9000-X. 77 pages (softcover), December 1991 IndiVidual member $19, Ust price $24 To order, please speclfy MAWRID/2NA All prices subject to change. Free shipment by surface; for air delivery, please add $6.50 per title. Prepayment required. Order from: American Mathematical Society. P.O. Box 5904, Boston, MA 02206-5904, or call toll free 800-321-4AMS in the U.S. and Canada to charge with VISA or MasterCard. Canada residents, please add 7% GSI'.

MARCH 1993, VOLUME 40, NUMBER 3 273 1993 Symposium Mathematics of Computation 1943-1993: A half-century of computational mathematics University of British Columbia, Vancouver, BC, Canada, August 9-13

Under the auspices of the American Mathematical Society versity of Maryland; Carl Pomerance, University of Georgia; (AMS) and in celebration of the 50th anniversary of the journal Larry L. Schumaker, Vanderbilt University; Hans J. Stetter, Mathematics of Computation, an· international symposium Technical University of Vienna; G. W. Stewart, University devoted to all aspects of computational mathematics will of Maryland; and Roger Temam, Indiana University. take place at the University of British Columbia, Vancouver, The deadline for submission of contributed papers is April BC, Canada, August 9-13, 1993. The symposium will be 1, 1993. Abstracts should be prepared on AMS abstract forms held immediately prior to the joint AMS/CMS/MAA summer and should indicate whether they are being submitted for a meeting. As part of the meeting there will be a two-session poster session or for a contributed paper session. Abstract minisymposium on computational number theory dedicated forms are available at most universities or obtainable from the to the memory of D. H. Lehmer. Invited speakers will AMS upon request. Abstracts should be sent in duplicate to be presenting survey and state-of-the-art lectures in plenary Walter Gautschi, Department of Computer Sciences, Purdue sessions. There will also be poster sessions and 15-minute University, West Lafayette, IN 47907, U.S.A. Decisions on contributed paper sessions. acceptance will be made by May 1, 1993. Proceedings will be The topic was selected by the 1992 AMS Committee on published by the AMS. Summer Institutes and Special Symposia, whose members The deadline for preregistration/housing is June 6, 1993. at the time were: Lawrence Craig Evans, Nicholas Katz, Preregistration and housing forms can be obtained after Barbara Lee Keyfi.tz, Brian Parshall (Chair), Francois February 1, 1993 from the Mathematics Meetings Service Treves, and Edward Witten. Bureau, P.O. Box 6887, Providence, RI 02940-6887. There is The Organizing Committee for the symposium consists of a registration fee of $50. Inquiries with regard to registration James H. Bramble, Cornell University; Walter Gautschi, and housing should be directed to that address or by e-mail Purdue University (Chair); Eugene Isaacson, New York Uni­ to [email protected], or telephone: 401-455-4143. Other versity; Vidar Thomee, Chalmers University of Technology; inquiries should be sent to Walter Gautschi, Chair of the and Hugh C. Williams, University of Manitoba. Organizing Committee at the address indicated in the previous The invited speakers are: James H. Bramble, Cornell paragraph. University; Johannes Buchmann, Universitiit des Saarlan­ It is anticipated that the symposium will be partially des; Bjffm Engquist, UCLA; Donald Goldfarb, Columbia supported by a grant from the National Science Foundation. University; James N. Lyness, Argonne National Laboratory; Additional funds for support are being sought from other J. C. Nedelec, Ecole Polytechnique Palaiseau; Andrew M. agencies. Odlyzko, AT&T Bell Laboratories; Frank W. J. Olver, Uni-

274 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Mathematical Sciences 1993 Meetings and Conferences 1993-1994. Mittag-Leffter Institute's Aca­ demic Program for 1993-1994: Topology and Algebraic K-theory, Djursholm, Swe­ den.ODec. 1992,p. 1274) Spring 1993. IMACS Symposium on Math­ THIS SECTION contains announcements of meetings and conferences of interest to some ematical Modelllng, Wiener Neustadt, Ger­ segment of the mathematical public, including ad hoc, local, or regional meetings, and many. (Jan. 1992, p. 54) meetings or symposia devoted to specialized topics, as well as announcements of regularly 1993. Second IMACS International Con­ scheduled meetings of national or international mathematical organizations. A complete listing ference on Computational Physics, Univ. of of meetings of the Society, and of meetings sponsored by the Society, will be found inside the Colorado, Boulder, CO. (Jan; 1992, p. 55) front cover. AN ANNOUNCEMENT will be published in the Notices if it contains a call for papers, and specifies the place, date, subject (when applicable), and the speakers; a second announcement will be published only if there are changes or necessary additional information. March 1993 Once an announcement has appeared, the event will be briefly noted in each issue until it has been held and a reference will be given in parentheses to the month, year, and page of the 15-18. Arithmetic Geometry with an Em­ issue in which the complete information appeared. Asterisks (*) mark those announcements phasis on Iwasawa Theory, Arizona State containing new or revised information. University, Tempe, AZ. (Sep. 1992, p. 771) IN GENERAL, announcements of meetings and conferences held in North America carry 15-19.. IMA Workshop on Systems and Con­ only date, title of meeting, place of meeting, names of speakers (or sometimes a general trol Theory for Power Systems, Institute for statement on the program), deadlines for abstracts or contributed papers, and source of further information. Meetings held outside the North American area may carry more detailed Mathematics and its Applications, University information. In any case, if there is any application deadline with respect to participation in of Minnesota, Minneapolis, MN. (Nov. 1991, the meeting, this fact should be noted. All communications on meetings and conferences in p.1172) the mathematical sciences should be sent to the Editor of the Notices, care of the American 15-April 2. Workshop on Representation Mathematical Society in Providence, or electronically to [email protected]. Theory of Lie Groups, Trieste, Italy. (Jan. DEADLINES for entries in this section are listed on the inside front cover of each issue. In 1993,p. 54) order to allow participants to arrange their travel plans, organizers of meetings are urged to submit information for these listings early enough to allow them to appear in more than 16-18. International Conference on Typed one issue of the Notices prior to the meeting in question. To achieve this, listings should be Lambda Calculi and AppUcations (TLCA), received in Providence SIX MONTHS prior to the scheduled date of the meeting. Utrecht, The Netherlands. (Jan. 1993, p. 54) EFFECTIVE with the 1990 volume of the Notices, the complete list of Mathematical Sciences 17-'lJJ. Pure and AppUed Linear Algebra: Meetings and Conferences will be published only in the September issue. In all other Issues, The New Generation, University of West only meetings and conferences for the twelve-month period following the month of that issue Florida, Pensacola, FL. (May/Jun. 1992, p. 495) will appear. As new information is received for meetings and conferences that will occur later than the twelve-month period, it will be announced at the end of the listing in the next possible 19-'lJJ. Mississippi State Annoal Confer­ issue. That Information will not be repeated until the date of the meeting or conference falls ence on Differential Equations and Compu­ within the twelve-month period. tational Simulations, Mississippi State Uni­ versity, Mississippi State. (Jan. 1993, p. 54) 19-20. Ninth Auburn Conference on Real Kansas State University, Manhattan, KS. (Nov. 29-April 2. Valuations, Topological Fields, Analysis, Auburn University, Auburn, AL. 1992, p. 1116) and Geometries, Marseille, France. (Jan. 1993, (Jan. 1993, p. 54) 25-27. 1993 Barrett Memorial Lectures p. 55) 21. Thtorial on Distributed Computing on Infinite Dimensional Stochastic Differ­ 29-April 3. Zeta Functions in Number Using PVM and HeNCE, Norfolk, VA. (Dec. ential Equations, University of Tennessee, Theory and Geometric Analysis, in honor 1992, p. 1276) lenoxville, TN. (Dec. 1992,p. 1276) of Jun-ichi lgusa, Johns Hopkins University, 21-27. Analysis auf Lokalsymmetrischen Baltimore, MD. (Dec. 1992, p. 1276) Rllumen, Oberwolfach, Federal Republic of 26-27. Southeastern Section, University of Tennessee, lenoxville, TN. 29-April3. Quantum Probability and AppU­ Germany. (Jan. 1992, p. 55) · cations, Nottingham, UK. (Feb. 1993, p. 179) 22-24. Sixth SIAM Conference on Par­ INFORMATION: W. Drady, AMS, P.O. Box 29-April 8. Workshop on Geometric and allel Processing for Scientific Computing, 6887, Providence, RI 02940. Combinatorial Meihods in Group Theory, Norfolk, VA. (Oct. 1992, p. 947) International Centre for the Math. Sci., Edin­ 27-28. Midwest Partial Differential Equa­ 22-26. ERCIM Advanced 5-day Course on burgh, Scotland. (Nov. 1992, p. 1116) Partial Differential Equations and Group tions Seminar, University oflllinois at Chicago. (Jan. 1993, p. 55) 30-April 1. IEEE Data Compression Con­ Theory; Amsterdam, The Netherlands. (Jan. ference (DCC '93), Snowbird, Utah. (Nov. 1993,p. 54) 28-April 3. Combinatorial Convexity and 1992, p. 1116) 22-28. Workshop on Pattern Formation in Algebraic Geometry, Oberwolfach, Federal Earth Sciences and Biology, Fields Republic of Germany. (Jan. 1992, p. 56) Institute for Research in Mathematical 28-April 8. Workshop on Geometric and Sciences, Waterloo, Ontario. (Apr. 1992, p. 351) Combinatorial Methods in Group Theory, 23-28. Workshop onAppUcations ofPattern Edinburgh, U.K. (Jan. 1993, p. 55) Spring 1993 Formation, The Fields Institute, Waterloo, 29-April 2. Workshop on Diophantine Ge­ Spring 1993. Valuations, Topological Fields, Ontario. (Jan. 1993, p. 54) ometry, Mathematical Sciences Research In­ and Geometries, CIRM, Marseille, France. 24-28. Conference on Quantum Topology, stitute, Berkeley, CA. (May/Jun. 1992, p. 495) (Nov. 1992, p. 1116)

----·----"·"··--·--"""""' MARCH 1993, VOLUME 40, NUMBER 3 275 Meetings and Conferences

Spring 1993. IMACS Workshop on Inverse many. (Jan. 1993, p. 55) 19-20. IMA Minisymposium on Fuzzy Con­ Problems, Berlin, Germany. (Jan. 1993, p. 55) 14-16. Seventh SEFI European Seminar trol, University of Minnesota, Minneapolis, on Mathematics in Engineering Educa­ MN.(No~ 1992,p. 1117) tion, Eindhoven University of Technology, 19-21. SIAM Conference on Mathemati­ AprU1993 The Netherlands. (Feb. 1992, p. 149) cal and Computational Issues in the Geo­ 4-7. First International Conference on 14-16. The Mathematics of Food Produc­ sciences, Houston, TX. (JulJAug. 1992, p. 631) Mathematical Linguistics, Barcelona, Spain. tion, Processing, and Presentation, Belfast, 19-23. Cartes Cellulaires sur les Surfaces de (Sep. 1992, p. 772) Great Britain. (Sep. 1992, p. 772) Riemann (Thoorie des ''Dessins D'Enfants", 4-9. Copper Mountain Conference on 14-17. Dynamics of Complex Systems in Marseille, France. (Jan. 1993, p. 56) Multigrid Methods, Copper Mountain, Col­ Biosciences, Marseille, France. (Jan. 1993, 23. Applied Probability day at Columbia orado. (Nov. 1992, p. 1116) p. 56) University, New York City, NY. (Feb. 1993, 4-10. Topics in Pseudo-Differential Op­ 14-23. International Conference in Abstract p.180) erators, Oberwolfach, Federal Republic of Analysis, Kruger National Park, Republic of 25-May 1. Low Dimensional Dynamics, Germany. (Jan. 1992, p. 56) South Africa. (Oct. 1992, p. 948) Oberwolfach, Federal Republic of Germany. 5-7. Predictability and Nonlinear Modelling 15-22. Symposium on Analytic and Ge­ (Jan. 1992, p. 56)· in Natural Sciences and Economics, Wa­ ometric Aspects of Hyperbollc Geometry: 26-28. Methodes Spectrales et Elements geningen, The Netherlands. (Jan. 1993, p. 55) Research Level Workshop, University of Spectraux, Clamart, France. (Jan. 1993, p. 56) 5-8. British Applied Mathematics Collo­ Warwick, Coventry, UK.(~. 1992, p. 1277) 26-29. NCGA '93 Computer Graphics So­ quium (35th British Theoretical Mechanics * 16. Fifth Annual Conference on Biomathe­ lutions: Applications for Implementation, Colloquium), Glasgow, UK. (Jan. 1993, p. 55) matics, State University of New York at Stony Philadelphia, PA. (Nov. 1992, p. 1117) 5-9. IMA Thtorial: Design and Analysis of Brook. 26-29. The Mathematics of Finite Elements and Applications MAFELAP 1993, Adaptive Systems, Institute for Mathematics PROGRAM: This informal conference is be­ vm, Uxbridge, UK. (Jan. 1993, p. 56) and its Applications, University of Minnesota, ing sponsored by the department of applied Minneapolis, MN. (Nov. 1991, p. 1172) mathematics and statistics with funds pro- · 27-29. NSF/DoD's National SBIR Confer­ 5-9. Thoorie des ~rateurs, CIRM, Mar­ vided by a grant from the Army Research ences, Minneapolis, MN. (Sep. 1992, p. 772) seille, France. (Jan. 1993, p. 55) Office. Its purpose is to bring together re­ 30-May 2. Third Midwestern Geometry 6-8. NASECODE IX: The Ninth Interna­ searchers of diverse backgrounds to discuss Conference, University of Missouri, Colum­ tional Conference on the Numerical Analy­ issues of mutual concern at the interface of bia, MO. (~. 1992, p. 1277) sis of Semiconductor Devices and Integrated mathematics, biology, and medicine. The Circuits, Copper Mountain, Colorado. (Jan. opening talk is by D. Shalloway, Greater Philadelphia Professor of Biological Sci­ 1993, p. 55) May 1993 7-10. The Nbith Conference on the Mathe­ ences at Cornell University. The second matical Foundations of Programming Se­ major presentation is by S. Vermund of 2-4. Workshop on Operator Algebras, In­ mantics, New Orleans, LA. (Nov. 1992, NIH. Registration is free. stitute for Advanced Studies in Mathematics, p. 1116) INFORMATION: E. Beltrami, Dept. of Ap­ Technion, Haifa, Israel. (Oct. 1992, p. 948) plied Math. and Stats., SUNY @ Stony 8-10. Clifford Algebras in Analysis, Univer­ 2-7. Algebraic Geometry Workshop on Brook, Stony Brook, NY 11794-3600; tel: sity of Arkansas, Fayetteville, AR. (Sep. 1992, the Occasion of the 65th Birthday of F. 516-632-8367 or 516-632-9125; e-mail: p. 772) Hirzebruch, Emmy Noether Institute, Bar­ [email protected]; Fax: 516-632- Dan Univ., Ramat Gan, Israel. (Dec. 1992, 9-10. Western Section, University of Utah, 8490. Salt Lake City, Utah. p.1277) 2-8. Design and Experiments: Optimal­ INFORMATION: W. Drady, AMS, P.O. Box 16-17. Conference on Graduate Programs in the Applied Mathematical Sciences ll, ity, Construction and Applications, Ober­ 6887, Providence, RI 02940. Clemson University, Clemson, SC. (Feb. 1993, wolfach, Federal Republic of Germany. (Jan. 9-11. The Second Boise Extravaganza in p. 179) 1993,p. 56) Set Theory (BEST), Boise State Univ., Boise, 17. Fortieth Anniversary Algebra Day, * 2-8. Austrian Conference on Discrete Ge­ Idaho.(~. 1992,p. 1277) Carleton University, Ottawa, Canada. (Feb. ometry and Related Topics, (near Neuhofen), 11-17. Arbeitsgemeinschaft mit Aktuellem 1993, p. 179) Austria. Thema, Oberwolfach, Federal Republic of 17-18. Eastern Section, Howard University, PROGRAM: The conference will take place in Germany. (Jan. 1992, p. 56) Washington, DC. a hotel near Neuhofen, a small village about 100 km west of Vienna (near Amsetten), 12-16. IMA WorkshoponAdaptiveControl, INFORMATION: W. Drady, AMS, P.O. Box situated in a pleasant landscape near some Filtering, and Signal Processing, Institute for 6887, Providence, RI 02940. Mathematics and its Applications, University of the most prominent sights of Austria. The of Minnesota, Minneapolis, MN. (Nov. 1991, 18. Thtorial on Introduction to Paral­ price of full board will be approximately p. 1172) lel Computation, Houston, TX. (Dec. 1992, AS4500 (about $440) for a single room 12-16. Second IMACS International Sym­ p. 1277) or AS3250 (about $300) per person for a double room. posium on Mathematical and Intelligent 18-24. The Arithmetik of Fields, Oberwol­ INFORMATION: P. Schmitt, Institute ofMath­ Models in System Simulation, Brussels, Bel­ fach, Federal Republic of Germany. (Jan. 1992, ematics, University of Vienna, Strudl­ gium. (Feb. 1993, p. 179) p. 56) hofgasse 4, A-1090 Wien, Austria; e­ 12-16. GAMM-Jahrestagung1993,Dresden, 18-24. Mathematische Grundlagen und mail: [email protected] a8131dal@ German~(Sep. 1992,p. 772) Numerische Verfahren bei 'Ii'anssonischen awiuni11.edvz.univie.ac.at. 12-17. Tenth Easter Conference on Model Striimungen, Oberwolfach, Federal Republic Theory, Wendisch-Rietz (near Berlin), Ger- of Germany. (Jan. 1992, p. 56) 3-7. IMA Thtorial: Verification Issues in

276 NOTICES OF THE AMERICAN MATHEMATICAL SOCIElY ·------· Meetings and Conferences

J)iscrete Event Systems, as well as Perfor­ 14-16. Knots and Quantum Gravity, Uni­ 20-23. Central Section, Northern Illinois mance and Control, Institute for Mathematics versity of California, Riverside, CA. (Feb. University, DeKalb, IL. and its Applications, University of Minnesota, 1993, p. 180) INFORMATION: W. Drady, AMS, P.O. Box Minneapolis, MN. (Nov. 1991, p. 1172) 16--22. Mathematical Problems in VJSCOelas­ 6887, Providence, RI 02940. 3-7. Problemes aux Limites & Equations tic Flows, Oberwolfach, Federal Republic of 1ntegra1es dans des Domaines Non ReguHers Germany. (Jan. 1992, p. 56) 23-29. Differentialgeometrie im Grossen, (Boundary Value Problems and Integral 17-19. Third International Conference on Oberwolfach, Federal Republic of Germany. Equations in Nonsmooth Domains), CIRM, Expert Systems for Numerical Computing, (Jan. 1992, p. 56) Marseille, France. (Feb. 1993, p. 180) Purdue University, West Lafayette, IN. (Dec. 24-27. COMPEURO '93, Paris-Evry, France. 3-14. Workshop on Qualitative Aspects 1992, p. 1278) (Jul./Aug. 1992, p. 631) and Applications of Nonlinear Evolution 17-21. Algebre et Applications, Marseille, 24-27. Eurocrypt '93: A Workshop on the Equations, Trieste, Italy. (Jan. 1993, p. 56) France. (Feb. 1993, p. 180) Theory and Applications of Cryptographic 4-8. The Third International Collociuium on Techniques, Lofthus, Norway. (Nov. 1992, Cognitive Science (ICCS-93), Donostia-San 18-21. Eighth Annual Conference on Struc­ p. 1118) Sebastian, Spain. (Nov. 1992, p. 1117) ture in Complexity Theory, San Diego, CA. (Oct. 1992, p. 948) 24-28. Matroides et Matroides Orientes, 6--12. Spring School on Potential Theory CIRM, Marseille, France. (Nov. 1992, p. 1118) 18-21. Workshop in Function Theory and and Analysis, Paseky, Czechoslovakia. (Jan. * 24-28. Ergodic Theory and Its Connections Algebraic Differential Equations, University 1993, p. 56) with Harmonic Analysis, Alexandria, Egypt. of Illinois, Urbana, IL. *9-14. Conference in Harmonic Analysis to (Feb. 1993, p. 181) Honor Guido Weiss, Universidad Autonoma PROGRAM: The conference will honor the 24-28. Thiorie des Nombres et Automates, de Madrid, Madrid, Spain. work of L.A. Rubel. CIRM, Marseille, France. (Jan. 1993, p. 57) INVITED SPEAKERS: P. Auscher, R. Coif­ INFORMATION: John P. D'Angelo, e-mail: 26-29. First International Conference on man, L. Colzani, G. David, J. Duoandiko­ [email protected]. Dynamic Systems and Applications, More­ etxea, J.-P. Kahane, A. Mcintosh, Y. Meyer, house College, Atlanta, GA. (Oct. 1992, p. 948) 20-21. DIMACS Quadratic Assignment R. Rochberg, F. Ricci, S. Semmes, E. Stein. * Problem Workshop, DIMACS Center, Rut­ * 26-29. G,J. Butler Workshop in Mathe­ INFORMATION: R. Rochberg, Dept. ofMath., gers University, New Brunswick, NJ. matical Ecology, Fields Institute for Research Box 1146, Washington University, St. Louis, in Mathematical Sciences, Waterloo, Ontario. MO 63130; e-mail: [email protected]. PROGRAM: About twenty invited speakers (Please note update to Feb. 1993, p. 181) will present recent results on many differ­ PROGRAM: The workshop will be devoted 9-15. Reelle Algebraische Geometrie, Ober­ ent aspects of quadratic assignment prob­ to various topics in mathematical ecology, wolfach, Federal Republic of Germany. (Jan. lems, including algorithms, applications, epidemiology, population dynamics, and 1992, p. 56) software development, efficient algorithms related differential equations. 9-17. Jerusalem Combinatorics '93, He­ for certain classes of problems, complexity, INVITED SPEAKERS: J. Belair (Montreal), brew University of Jerusalem, Israel. (Jul./Aug. and collection of test problems. 1992, p. 631) K. Cooke (Pomona College), S. Levin INVITED SPEAKERS: A. Warren, E. Balas, (Princeton), P. Waltman (Emory), H. Freed­ 10-12. IMACS Symposium on Signal Pro­ E. Boros, D.E. Brown, C.L. Huntley, A.R. man (Alberta), H. Smith (Arizona State), cessing and Neural Networks-SPANN '93, Spillane, R.E. Burkard, P. Carraresi, F. G.S.K. Wolkowicz (McMaster), P. van Universite du Quebec at Montreal, Canada. Malucelli, B. Chen, C. Delorme, A. Frieze, Driessche (Victoria). (Jan. 1992, p. 56) K.C. Gilbert, P. Hammer, R. Bisgrove Hof­ INFORMATION: For workshop information 10-14. IMA Workshop on Discrete Event stra, F. Glover, S.W. Hadley, P. Kouvelis, please contact Professor J. Wu, Dept. of Systems, Manufacturing Systems, and Com­ V. Kumar, Y. Li, J.B. Mazzola, H. Muh­ Math and Statistics, York University, tel: munication Networks, Institute for Mathe­ lenhein, S. Poljak, A. Poore, A. Pothen, 416-736-5250,Fax: 416-736-5735. To reg­ matics and its Applications, University of Min­ K.o. Ramakrishnan, M.G.C. Resende, F. ister please contact J. Motts, Fields In­ nesota, Minneapolis, MN. (Nov. 1991, p. 1172) Rendl, WanSoo T. Rhee, C. Roucairol, H. stitute, tel: 519-725-0096, Fax: 519-725- . 10-14. TheTenthlnternationalSymposium Sherali, J. Skorin-Kapov, J. MacGregor 0704, e-mail: [email protected]. on Applied Algebra, Algebraic Algorithms, Smith, E. Tailard, E.-G. Taibi, P. Bessiere, and Error Correcting Codes, San Juan· de T. Vannelli, M.R. Wilhelm, and T.L. Ward. 27-28. Fifteenth Symposium on Mathemat­ Puerto Rico. (Oct. 1992, p. 948) INFORMATION: Organizers, P. Pardalos ical Programming with Data Perturbations, ([email protected]) or H. Wolkowicz George Washington University, Washington, 10-14. Geometrie Topologie des Sous­ et ([email protected].). · DC. (Jan. 1993, p. 57) Varietes, CIRM, Marseille, France. (Nov. 1992, p. 1117) * 28-30. Algebraic Geometry-Interactions be· 20-22. International Symposium on Ordi­ tween Commutative Algebra and Algebraic 10-14. International Geometric Colloquium, nary Differential Eq"Qations and Applica­ Geometry, Columbia, MO. Moscow. (Jan. 199~. p. 56) tions, Western Michigan University, Kalama­ 12-14. Detonique. Rocquencourt, France. zoo, MI. (Nov. 1992, p. 1117) PRINCIPAL SPEAKERS: Partial List: L. Avra­ (Jan. 1993, p. 56) 20-22. International Conference on Ap· mov, W. Heinzer, M. Hochster, R. Hoobler, J. Lipman, J. Sally, B. Ulrich. 13-15. The Twelfth Pacific Coast Re· pro:ximation, Probability, and Related Fields, INFORMATION: S.D. Cutkosky or H. Srini­ source Modeling Conference, Tucson, AZ. University of California, Santa Barbara. (Dec. vasan, Dept. of Math., University of Mis­ (Jan. 1993, p. 56) 1992, p. 1278) souri, Columbia, MO 65211; 314-882- 13-16. ASL Spring Meeting in Conjunction 20-23. International Conference on Ap­ 3680; e-mail: [email protected]. with a Meeting of the Society for Exact proximation Probability and Related Fields, Philosophy; York University, Toronto, Canada. University of California, Santa Barbara, CA. 30-June 1. Canadian Society for the History (Nov. 1992,p. 1117) (May/Jun. 1991, p. 477) and Philosophy of Mathematics, Carleton

MARCH 1993, VOLUME 40, NUMBER 3 277 Meetings and Conferences

University, Ottawa, Ontario, Canada. (Sep. including ordinary differential equations, 7-12. Internatioual Conference in Honour 1992, p. 772) functional differential equations, impUlsive of Bernard Malgrange, Grenoble, France. 30-June 2. Fourteenth Annual Meeting of differential equations, partial differential (No~ 1992,p. 1119) the Canadian Applied Mathematics Socl­ equations, and applications to real world 7-12. Methodes Geometriques et Topolo­ ety!Sodete Canadienile de Mathematiques problems in various disciplines. Topics of giques en Physique Theorique, Lyon, France. Applique, York University, North York, On­ interest include: maximum principles, the (Jan. 1993, p. 58) method of moving planes, upper and lower tario.(Jan. 1993,p.57) 7-12. Workshop solutions, monotone flows, monotone iter­ on Pattern Formation and 30-June4. NSF Calculus Reform Workshop: Lattice-Gas ative techniques, large scale systems, the Automata, The Fields Institute, Core Approach to Calculus. (Feb. 1993, Waterloo, Ontario. (Feb. 1993, p. 182) p. 181) method of Lyapunov functions, applica- . tions to control theory, ecological models, 7-12. Seminar on Stochastic Analysis, 30-June 5. Funktioualanalysis uud Nicht­ and compleK chemical and electrical net­ Random Fields, and Applications, Ascona, Hueare Partielle Differentialgleichungen, works. The conference is sponsored by Switzerland. (Feb. 1993, p. 182) Oberwolfach, Federal Republic of Germany. the Fields Institute and the Applied ~ath­ 7-13. Workshop on Pattern Formation (Jan. 1992, p. 56) ematics Department at the University of and Cellular Automata, Fields Institute for 30-June 13. First Caribbean Spring School Waterloo. Research in ~athematical Sciences, Waterloo, of Theoretical Physics and Mathematics on INVITED SPEAKERS: T.A. Burton (Carbon­ Ontario. (Apr. 1992, p. 352) InfiniteDimensioual Geometry,Nonoommu­ dale, Illinois), B.L. Clarke (Edmonton), 7-18. AMS-SIAM Summer Seminar in tative Geometry, Operator Algebras, and C. Corduneanu (Arlington, Texas), C. Cos­ Particle Physics, Guadeloupe (French West Applied Mathematics: The Mathematics of ner ~ami), ~.W. Hirsch (Berkeley), Tomography, Impedance Imaging, and In­ Indies). (Nov. 1992, p. 1118) V. Lakshmikantham ~elbourne, Florida), tegral Geometry, ~ount Holyoke College, 31-June 4. Workshop on Nonnegative Ma­ A.A. ~artynyuk (Kiev, Ukraine), C.V. South Hadley, ~- trices, Applications, and Generalizations, Pao (Raleigh, North Carolina), D.D. Sil­ Technion, Haifa, Israel. (Nov. 1992, p. 1118) jak (Santa Clara, California), W. Walter INFORMATION: D. Salter, ~s. P.O. Box (Karlsruhe, Germany). 6887, Providence, RI 02940. INFORMATION: For workshop information June 1993 please contact X.Z. Liu or D. Siegel, e­ 13-18. The Householder Symposium XII mail ([email protected]) or (siegel@ Meeting on Numerical Algebra, UCLA Con­ June 1993. Fourth IMACS Internatioual fields.uwaterloo.ca). To register please con­ ference Center, Lake Arrowhead, CA. (Dec. Symposium on Computatioual Acoustics, tact!. Taylor, Fields Institute, tel: 519-725- 1992, p. 1279) Cambridge, England. (Jan. 1992, p. 56) 0096, Fax: 519-725-0704, e-mail: (stab@ 13-18. NSF Calculus Reform Workshop: June 1993. GAMMIIFIP - Workshop on fields.uwaterloo.ca). Calculus in a Real and Complex World. Stochastic Optimization: Numerical Meth­ (Feb. 1993, p. 182) ods and Technical Applications, Neubiberg/ 3-9. Fifteenth NevanHuna Colloquium, Ann 13-18. NSF Calculus Reform Workshop: ~Unchen,Gennany.(Sep. 1992,p. 773) Arbor, ~- (Jan. 1993, p. 57) Ithaca College Program. (Feb. 1993, p. 182) June 1993. Summer Workshop: Calcu­ 4-7. Sixth Meeting of European Women 13-18. NSF Calculus Reform Workshop: lus, Computers, Concepts, and Cooperative in Mathematics, Warsaw, Poland. (Jan. 1993, Harvard Consortium Program. Learning, Purdue University, West Lafayette, p. 58) (Feb. 1993, p.182) IN. (No~ 1992,p. 1118) 6-9. Annual Meeting of the Statistical 13-19. Differential-Algebraic 1-4. Rigidite et Deformation pour les Society of Canada, Wolfville, Nova Scotia, Equations: Theory and Applications in Technical Sim­ Systemes Hyperboliques, C~. ~arseille, Canada. (Feb. 1992, p. 149) France. (Nov. 1992,p. 1118) ulation, Oberwolfach, Federal Republic of 6-12. Aualysis auf Kompakten Varietiiten, Germany. (Jan. 1992, p. 56) 1-5. CBMS-NSF Conference on Appli­ Oberwolfach, Federal Republic of Germany. cations of the Representation Theory of (Jan. 1992, p. 56) 14-17. The Fifth Asian Logic Conference, Quantum Affine Lie Algebras to Solvable National University of Singapore, Singapore. 7-10. SIAM Conference on Mathematical (~ay/Jun. 1992, p. 496) Lattice Models, North Carolina State Univer­ and Numerical Aspects ofWavePropagation sity, Raleigh, NC. (Jan. 1993, p. 57) Phenomena, University of Delaware, Newark, 14-17. IMACS Symposium on Symbolic 2-4.. The Lars Onsager Symposium. Cou­ DE.. (JUl./Aug. 1992, p. 631) Computation,Lille,France.(Feb.1993,p.182) pled Transport Processes and Phase Transi­ 7-10. The Eighth Haifa Matrix Theory 14-18. IMA Workshop on Mathematical tions, Trondheim,Norway. (Dec.1992,p.1278) Conference, Technion, Haifa, Israel. (Nov. Finance, Institute for ~athematics and its 2-4. DIMACS Workshop on Parallel Al­ 1992, p. 1119) Applications, University of ~nnesota, ~­ gorithms f01; Unstructured and Dynamic neapolis,~- (Nov. 1991, p. 1172) 7-11. IMA Thtorial: Mathematical The­ Problems, Rutgers University, Piscataway, NJ. ory which Has become an Integral Part of 14-18. Linear Logic Workshop, ~athe­ (Feb. 1993, p. 181) Modem Financial Economics, Institute for matical Sciences Institute, Cornell University, 2-5. Ninth Biennial Conference of the As­ ~athematics and its Applications, University Ithaca, NY. ~ay/Jun. 1992, p. 496) sociation of Christians in the Mathematical of ~innesota, ~nneapolis, ~-(Nov. 1991, 14-18. Homologie des Algebres et Applica­ Sciences, Westmont College, Santa Barbara, p. 1172) tionS, C~. ~arseille, France. (Nov. 1992, CA. (Sep. 1992, p. 773) 7-11. Colloque Internatioual en l'Honneur p. 1119) * ~- Symposium on Comparison Methods de G. Freiman. La Methode Additive Inverse 14-18. Geometrical and Topological Meth­ and Stability Theory, The Fields Institute, et ses Applications, C~. ~arseille, France. ods in Theoretical Physics, Universite Claude Waterloo, Ontario. (No~ 1992,p. 1119) Bernard, Lyon 1, France. (Feb. 1993, p. 182) PROGRAM: The conference will focus on 7-11. Art and Mathematics Conference 14-18. Workshop in NonHuear Differential comparison methods and stability the­ (AM93), State University of New York, Al­ Equations, University of Campinas (UNI­ ory for nonlinear differential equations, bany, NY. (Dec. 1992, p. 1279) C~). Campinas, Brazil. (Feb. 1993, p. 182)

278 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY ------~-----······----·--·--Meetings and Conferences

14-19. Groups of Lie Type and Their 22-25. Third International Conference on there will be no focus on one particu­ Geometries, Como, Italy. (Jan. 1993, p. 58) Algebraic Methodology and Software Tech­ lar project, approach, or technology. There 14-22. Integrable Systems and Quan­ nology (AMAST '93), Enschede, The Nether­ will be more emphasis on contributed pa­ tum Groups, Villa La Querceta, Montecatini lands. (Nov. 1992, p. 1119) pers and discussion and less on formal rerme, Italy. (Feb. 1993, p. 182) 22-26. Cech Birthday Conference, North­ presentation this year. Two- and four-year eastern University, Boston, MA. (Jan. 1993, college, university, and secondary school 15-17. mEE Computer Society Conference faculty are welcome. on Computer Vision and Pattern Recogni­ p.59) PROGRAM COMMITTEE: D. Hughes Hallett, tion, Omni Park Central, New York City, NY. 23. Symposium on Some Mathematical Harvard U.; H. Keynes, U. of Minnesota; ~0~ 1992,p. 1119) Questions in Biology: Theories for the Evo­ lution of Haploid-Diploid Life Cycles, Snow­ W. Roberts, Macidester College; and T. 15-17. Second GAMM/IFIP Workshop on Tucker, Colgate U. Stochastic Optimization, Mlinchen, Federal bird, Utah. KEYNOTE SPEAKER: D.J. Lewis, U. of Republic of Germany. (Jan. 1993, p. 58) ~RMATION: D.Salter,~S,RO.Box Michigan. 15-17. Computer Security Foundations 6887, Providence, RI 02940. FORUM TOPICS: Lean and lively: Is lean Workshop VI, Franconia, NH. (Jan. 1993, necessary? Is lean possible?; Can we agree p.58) * 23-24. Test Site Workshop, Harvard Univer- sity, Cambridge, MA. on content? Should we agree on content?; 16-18. Third IMACS International Work­ Technology: high level and low. level?; shop on Qualitative Reasoning and Deci­ PROGRAM: The objective of this workshop, Pedagogy: Is the lecture method really sion Technologies-QR&DT-3, Polytechnique sponsored by the Calculus Consortium that bad?; What can we learn from client of Barcelona, Spain. (Please note date change based at Harvard U., is to prepare at­ disciplines about teaching mathematics?. fromJan. 1992,p.56) tendees on teaching with the Consortium's CoNFERENCE ToPics: Technology: High, 16-18. Fifth International Conference on materials. This workshop is for a maximum middle, or low level?; What next? Dif­ Rewriting Techniques and Applications, Mon­ of two attendees from any school partici­ ferential equations, multivariable calculus, treal, Canada (Jan. 1993, p. 58) pating as a Test Site for the Consortium's linear algebra; What is happening in cal­ materials for the first time in Fall1993. As 17-19. ATLAST 1993 Linear Algebra culus in the secondary schools?; Calculus part of the application for admission to the Workshops, Michigan State University, East reform: experiences from the field. workshop, a letter of commitment from the Lansing, MI. (Dec. 1992, p. 1279) CALL FOR PAPERS: Parallel fifteen minute institution to use the Consortium's materi­ sessions, which will be an important part of 18-19. Conference on Integration of Pre­ als in Fall1993 is required. Space is limited the program, are available for contributed calculus with Calculus, Moravian College, to eighty persons. Partial travel expenSes papers. The title of the paper and a 25- Bethlehem, PA. (Dec. 1992, p. 1279) may be available through the Consortium word abstract should be submitted by April 20-23. Eighth Annual mEE Symposium on for those who qualify. 15 to K. or J. Thrash, Dept. of Math., Logic in Computer Science (LICS), Mon­ INFORMATION: H.O. Sudholz, Harvard Uni­ SS Box 5045, Univ. of Southern Missis­ treal, Canada. (Nov. 1992, p. 1119) versity, Dept. of Math., Science Center, sippi, Hattiesburg, MS 39406-5045; e-mail: 20-25. NSF Calculus Reform Workshop: Room 325, One Oxford St., Cambridge, [email protected]. MA 02138; tel: 617-496-5421. Oregon State Program. (Feb. 1993, p. 183) ~RMATION: H.O. Sudholz, Harvard Uni­ 20-26. Konvexgeometrie, Oberwolfach, Fed­ 23-26. Convergence in Ergodic Theory and versity, Dept. of Math., Science Center, eral Republic of Germany. (Jan. 1992, p. 56) Probability, Ohio State University, Columbus, Room 325, One Oxford St., Cambridge, 20-July 2. NATO Advanced Study Insti­ OH. (May/Jun. 1992, p. 496) MA 02138; tel: 617-496-5421. tute: Real & Complex Dynamical Systems, 23-27. Seventeenth Summer Symposium in 27-July 2. NSF Calculus Reform Workshop: Hillerod, Denmark. (Jan. 1993, p. 58) Real Analysis, Macalester College, St. Paul, St. Olaf College Program. (Feb. 1993, p. 183) 21-23. Colloquium on Elementary and An­ MN. (Jan. 1993, p. 59) alytic Number Theory, LillafUred; Hungary. 27-July 3. Algebraische K•Theorie, Ober­ 24-26. Twenty-fifth Anniversary of the wolfach, Federal Republic of Germany. (Jan. (Jan. 1993, p. 59) Classification Society of North America, 1992, p. 57) 21-25. Twenty-second Conference on Sto­ Pittsbur,gh,PA.(Dec. 1992,p. 1280) chastic Processes and their Applications, 28-30. Second International Workshop 24-26. ATLAST 1993 Linear Algebra on Logic Programming and Nonmonotonic Amsterdam, The Netherlands. (Sep. 1992, Workshops, Los Angeles Peirce College, p. 773) Reasoning, Lisbon, Portugal. (Nov. 1992, · . Woodland Hills, CA. (Dec. 1992, p. 1280) p.1120) 21-25. Graphs on Surfaces, Johns Hopkins 24-26. Ninth Snmmer Conference on Gen­ 28-July 1. Fifth Conference on Computer­ University, Baltimore, MD. (Sep. 1992, p. 773) eral Topology and Applications, Slippery Aided Verification,· Heraklion, Crete, Greece. 21-25. Fifth International Conference on Rock University, Slippery Rock, PA. (Jan. (Jan. 1993, p. 59) Formal Power Series and Algebraic Com­ 1993,p.59) 28-July 2. Geometrie Algebrique et Theorie binatorics, University of Florence, Florence, * 25-26. Second Conference on the Teaching Italy. (Oct. 1992, p. 949) of Calculus, Harvard University, Cambridge, des Codes, CIRM, Marseille, France. (Nov. 1992, p. 1120) 21-26. Homogeneisation et Methodes de MA. Convergence en Calcul des Variations, CIRM, * 28-July 2. IMA Workshop on Applications PROGRAM: The Calculus Consortium based Marseille, France. (Nov. 1992, p. 1119) of Mathematics to Manufacturing Logistics, at Harvard University will host a summer 21-29. Algebraic Cycles and Hodge Theory, Institute for Mathematics and its Applications, conference, in conjunction with the NSF University of Minnesota, Minneapolis, MN. Villa Gualino, Torino, Italy. (Feb. 1993, p. 183) and John Wtley & Sons, Inc. A program 22-24. The Twenty-third Annual Interna­ of open forums, presentations, and con­ INFORMATION: Institute for Mathematics tional Symposium on Fault-Tolerant Com­ tributed papers should provide something and its Applications, University of Min­ puting (FTCS 23), Toulouse, France. (Nov. .of interest for everyone interested in the nesota, 514 Vmcent Hall, 206 Church St., 1992, p. 1119) way calculus is taught. The scope is broad; S.E., Minneapolis, MN 55455.

------·-·-·------··------··-··--··---·-···----···---· MARCH 1993, VOLUME 40, NUMBER 3 279 Meetings and Conferences

28-July 3. Conference in Honour of Jean­ postela; V.I. Krinsky, Pushchino, Russia; Center; C. Chardaire-Riviere, Inst. Francais Pierre Kahane, University Paris-Sud at Orsay. C. Perez-Garcia, Barcelona. du Petrole; T.A. Ciriani, IBM-SEMEA; J. ONo~ 1992,p. 1120) INVITED SPEAKERs: T. Arecci, Firenze; Allen Cox, Honeywell, Inc.; U.F. D'Elia, 28-July 3. Sixth International Vilnius Con­ L.O. Chua, Berkeley; P. Coullet, Nice; P. ALEMIA; R.E. Ewing, Texas A&M U.; L. ference on Probability Theory and Math­ DeKepper, Bordeaux; H. Haken, Stuttgart; Gurvits, Siemens Corp. Res.; P.S. Hagan, ematical Statistics, Vilnius, Lithuania. (Jan. P. Hanusse, Bordeaux; S. Miiller, Dort­ Los Alamos Nat'l Lab.; I. Hagiwara, Nissan 1993, p. 59) mund; Y. Pomeau, Paris; M.G. Velarde, Motor Co.; S.A. Halvorsen, Elkem Res.; D. 28-July 9. Conference on Matrix Analysis Madrid; and D. Walgraef, Brussels. Isaacson, Rensselaer Polytechnic Inst.; M. for Applications, University of Wyoming, CALL FOR PAPERS: An abstract and a list Maes, Philips Res. Lab.; T. Monks, BHP Laramie, WY. (Dec. 1992, p. 1280) of recent publications should be submitted Melbourne Res. Lab.; P. Neittaanmaki, U. before the end of April 1993. Indicate if of Jyvaskyla; J. Periaux, Avions Marcel 29-July 2. Number Theoretic and Algebraic oral or poster presentation is desired. Dassault; A. Preuer, SFT-Voest Alpine Methods in Computer Science, International INFORMATION: V. Perez-Munuzuri, Dept. Stahl; D.S. Ross, Eastman Kodak Co.; G.R Center of Scientific and Technical Information Fisica de la Materia Condensada, Fac­ Shubin, The Boeing Co.; V. Shankar, Rock­ (ICSTI), Moscow. (Sep. 1992, p. 773) ultad de Fisicas, Universidad de Santi­ well Int'l. Sci. Ctr.; H.-G. Stark, Techmath; ago de Compostela, 15706 Santiago de P. Vestrucci, MIER-Bologna; M. Vogelius, Compostela, Spain; tel: +34.81.52.20.89; Rutgers U.; K. Yoda, Mitsubishi Electric. July 1993 Fax: +34.81.52.06.76; e-mail: vicente@ INFORMATION: SIAM, 3600 University City 2--4. T.I.TedK.E.S. Conference on Non­ euscvx.decnet.cern.ch. Science Center, Philadelphia, PA 19104; linear and Convex Analysis in Economic tel: 215-382-9800; Fax: 215-386-7999; 5-31. NSF Regional Geometry Institute: Theory, Tokyo,Japan.ODec. 1992,p. 1280) e-mail: meetings@ siani.org. Discrete Geometry, Smith College, Northamp­ Fuzzy 4-9. Fifth International Systems ton,MA.ONo~1992,p. 1120) 9-11. 1993 Annual Meeting of the Aus­ Association World Congress, Seoul, Korea. 6-9. European Multigrid Conference '93, tralasian Association for Logic, University of (Mar. 1992, p. 250) Amsterdam, The Netherlands. (May/Jun. 1992, Adelaide, South Australia. . 4-10. Freie Randwertprobleme, Oberwol­ p. 496) 10-August 6. Joint Summer Research Con­ fach, Federal Republic of Germany. (Jan. 1992, ferences in the Mathematical Sciences, Uni­ p.57) 6-23. IMA Summer Program on Modeling, Mesh Generations, and Adaptive Numerical versity of Washington, Seattle, WA. 4-10. Fifth International Congress on Al­ Methods for Partial Differential Equations, INFORMATION: C. Kohanski, AMS, P.O. gebraic Hyperstructures and Applications, University of Minnesota, Minneapolis, MN. Iasi, Romania. (Sep. 1992, p. 773) Box 6887, Providence, RI 02940. ONo~ 1992,p. 1120) 4-10. Methoden der Modul-und Ring­ 7-9. Fourth IMACS International Con­ * 11-15. Second World Congress on Neural theorie, Oberwolfach, Federal Republic of ference on Computational Aspects of Elec­ Networks (WCNN '93), Portland, OR. Germany. (Jan. 1993, p. 59) tromechanical Energy Converters and PLENARY SPEAKERS: C. Mead: Learning 4-16. Probability Theory of Spatial Dis­ Drives-IMACS-TC1 '93, Ecole Polytechnique in VLSI; S. Grossberg: 3-D vision; B. order and Phase Transition, Isaac Newton de Montreal, Canada. (Feb. 1993, p. 183) Kosko: Neural fuzzy systems; W. Singer: Institute, University of Cambridge, England. 7-10. The Second International Confer­ Coherent cortical function; K. Narendra: (Feb. 1993, p. 183) ence on Fluid Mechanics (ICFM-11), Beijing, Neutral control. 5-9. Communications et Reseaux d'Inter­ China. (Sep. 1992, p. 773) TECHNICAL SESSION ThPics: Biological vi­ connexion, CIRM, Marseille, France. ONov. 8-10. A'fLAST 1993 Linear Algebra Work­ sion; local circuit neurobiology; robotics 1992, p. 1120) shops, University of Houston-Downtown, and control; intelligent neural systems; sig­ 5-9. The Thirty-seventh Annual Meeting of Houston, TX. (Dec. 1992, p. 1281 nal processing; biological sensory-motor the Australian Mathematical Society (AMS control; neurodynamics; electro-optical neu­ * 8-10. Symposium on Inverse Problems and '93),. University of Wollongong, Australia. rocomputers; neural fuzzy systems; speech Optimal Design in Industry, Philadelphia, ONo~ 1992,p. 1120) and language; machine vision; cognitive PA. 5-9. CTAC93 Conference and Workshops, neuroscience; applications; unsupervised Australian National University, Canberra, PROGRAM: A three-day symposium imme­ learning; supervised learning; pattern recog­ A.C.T., Australia. (Dec. 1992, p. 1280) diately preceding the SIAM annual meeting nition; associative memory. 5-9. British Combinatorial Conference, that will bring together academe and indus­ TuTORIALS: Cognitive neuroscience, R. Keele University, Staffordshire, UK. (Dec. try on the complex inverse problems in a Desimone; Structural and mathematical ap­ 1992, p. 1281) broad segment of industry. proaches to signal processing, S.Y. Kung; SPONSORS: Sponsored by ECMI and SIAM Adaptive resonance theory, G. Carpenter; 5-10. Summer School on Nonlinear Dy­ * with the cooperation of IMA, INRIA, and Practical applications of neural network namics and Pattern Formation, Santiago de SIMAI. theory, R. Hecht-Nielsen; Cognitive sci­ Compostela, Spain. ORGANIZING COMMITTEE: V.C. Boffi, ence, D. Rumelhart; Neural fuzzy sys­ PuRPosE: The aim of this meeting is to SIMAI, Istituto per le Applicazioni del tems, F. Watkins; Neurobiology and chaos, bring together experts involved in the field Calcolo; G. Chavent, Institut National de W. Freeman; neural control and robotics, of nonlinear dynamics and to assess the re­ Recherche en Infonnatique et en Automa­ M. Kuperstein; Neural computation and cent developments in this area. The follow­ tique; D.L. Colton, U. of Delaware; H.W. VLSI, E. Schwartz; Biological vision, V.S. ing topics will be covered: spatio-temporal Engl (cochair), Johannes-Kepler U.; A. Ramachandran; Supervised learning, H. pattern formation in chemical and biologi­ Friedman, IMA; J.R. McLauglin (cochair), White. cal systems and hydrodynamical and laser Rensselaer Polytechnic Inst. REGISTRATION: Please note that registration unstabilities. INVITED SPEAKERS: K. Baba, Mitsubishi fees for AMS members are reduced. ORGANIZING COMMITTEE: V. Perez-Villar Heavy Industries; M. Bertero, U. di Gen­ INFORMATION: WCNN '93, Talley Man­ and V. Perez-Munuzuri, Santiago de Com- ova; L. Borucki, Motorola Advanced Tech. agement Group, 1825 I St., NW, Suite

280 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Meetings and Conferences

400, Washington, DC 20006; 609-845- La Querceta, Montecatini Terme, Italy. (Feb. Barbilian spaces, which are spaces that 1720; Fax: 609-853-0411. 1993, p. 184) emerged from the papers of the Romanian 15-17. ATLAST 1993 Linear Algebra mathematician, Dan Barbilian, published a 11-17. Nonlinear Evolution Equations, So­ Workshops, Georgia State University, Atlanta, half century ago, will be organized. lutions and the Inverse Scattering Trans­ GA. (Dec. 1992, p. 1281) ORGANIZERS: R. lordanescu (Math. lnst., form, Oberwolfach, Federal Republic of Ger- Calculus Reform Workshop: Bucharest), C. Udriste (Politechnica U., many. (Jan. 1992, p. 57) . . 18-23. NSF Project Calc. (Feb. 1993, p. 184) Bucharest). 11-30. Summer Research Institute on CONFERENCE TOPICS: Algebraic systems 18-23. NSF Calculus Reform Workshop: Stochastic Analysis, Cornell University, Ithaca, in differential geometry, quatemionic-like Iowa State University Program. (Feb. 1993, structures, geometric tensor fields, metriz­ NY. p. 184) ability of nonlinear connections, differen­ INFORMATION: W. Drady, AMS, P.O. Box 18-24. Dynamische Systeme, Oberwolfach, tial invariants and calculus of variations, 6887, Providence, RI 02940. Federal Republic of Germany. (Jan. 1992, Riemannian problems for submanifolds, p. 57) 12-16. SIAM Annual Meeting, Philadelphia, continuous bendings of surfaces, convex­ PA. (Please note update to Dec. 1992, p. 1281) 18-24. Twelfth International Conference ity of Riemannian manifolds, Finslerian­ on Near-rings and Near-fields, University of Lagrangian-Harniltonian structures. MEETING THEMES: Partial List: Compu­ New Brunswick, Fredericton, N.B., Canada. INVITED SPEAKERS: (Confirmed until Jan­ tational fluid dynamics, materials science, (Dec. 1992,p. 1281) uary 20, 1993): J. Dorfmeister(Kansas U.), biotechnology, inverse problems, optimiza­ 18-24. International Conference on Com­ J.R. Faulkner (Vtrginia U.), V.T. Fomenko tion, combinatorics, finance, dynamical binatorics, Keszthely, Hungary. (Jan. 1993, (Ped. Inst. Taganrog), M. Ooze (Haute Al­ systems, nondestructive testing, industril!l p. 60) sace U.), S. Marchiafava (La Sapienza U.), problems, and discrete mathematics and J.M. Masque (CSIC), Gr. Stanilov (Math. ·applications. 19-23. Singularites, CIRM, Marseille, France. (No~ 1992,p. 1121) Inst., Sofia), L. Tamassy (Math. Inst., De­ CALL FOR PAPERS: If you are planning to brecen), Gr. Tsagas (Aristotle U.). give a presentation and have not submitted 19-23. International Congress on Com­ puter Systems and Applied Mathematics, St. CALL FOR PAPERS: Deadline for Abstracts: an abstract, about 100 words in length, June 15, 1993. now is the time to do it. Contact: SIAM, Petersburg, Russia. (Dec. 1992, p. 1282) INFORMATION: R. Iordanescu, Math. Inst., 215-382-9800; Fax: 215-386-7999; e-mail: 19-23. Seventh ACM International Confer­ P.O. Box 1-764 70700 Bucharest, Roma­ meetings@ siam.org. ence on Supercomputing, Tokyo, Japan. (Jan. nia; Fax: 0040-1-3129829; or C. Udriste, 1993, p. 60) 12-16. Chaotic Numerics (An International Polytechnica University, Dept. of Math I, 19-24. The Arithmetic of Elliptic Curves, Workshop on the Approximation and Com· Splaiul Independentei 313, 79590 Bucharest, Anogeia, Crete, Greece. (Jan. 1993, p. 60) potation of Complicated Dynamical Behav· Romania; Fax: 0040-1-3120189. ior), Deakin University, Geelong, Australia. 19-August 13. CRM Summer School on 25-31. Geometric Methods in Theoretical (Oct. 1992, p. 949) MathematiCal Biology, University of British Columbia. (Jan. 1993, p. 60) and Computational Mechanics, Oberwol­ * 12-16. Workshop on Algebraic Graph The­ fach, Fed. Rep. of Germany. (Jan. 1992, p. 57) ory, International Centre for Mathematical 20-29. 1993 ASL European Summer Meet­ 26-30. NATO Advanced Research Work· Sciences, Edinburgh, Scotland. ing (Logic Colloquium '93), University of Keele, United Kingdom. (Nov. 1992, shop: Classical and Axiomatic Potential PROGRAM: The workshop is concerned with p. 1121) Theory, Les Arcs, Savoy, France. (Oct. 1992, relations between graph structure and al­ 21-23. Second International Symposium on p. 950) gebraic invariants. Topics will include the ffigh Performance Distributed Computing 26-30. Groupes Ordonnes et Groupes de Laplacian spectrum and star partitions. (HPDC-2), Spokane, WA. (Jan. 1993, p. 60) Permutations lnfinis, Marseille, France. (Jan. INVITED SPEAKERS: N.L. Biggs, London; 22-24. ATLAST 1993 Linear Algebra 1993, p. 60) R.A. Brualdi, Madison, WI; D. Cvetkovic, Workshops, University of Maryland, College 26-30. Cryptography and Computational Belgrade; R. Merris, Hayward, CA. Park, MD. (Dec. 1992, p. 1282) Number Theory, North Dakota State Univer­ INFORMATION: P. Rowlinson, Dept. of sity, Fargo, ND. (Jan. 1993, p. 60) Math. and Stats., University of Stirling, · * 23-24. The Fourth Annual Conference on Scotland FK9 4LA; e-mail: p.rowlinson@ Technology, Houston, TX. * 26-30. ICASFJLaRC Short Course on Par- allel Computation. Hampton, VA. stirling.ac.uk; Fax: 0786-464551; tel: · PROGRAM: The emphasis of the conference 0786-467464. will be on graphics calculators and their PROGRAM: The objective of this short use in teaching mathematics. course is to provide scientists and en­ 12-17. Colloque Takeuti: Theorie de Ia INVITED SPEAKERS: C. Beckman, T. Dick, gineers with a fairly broad overview of Demonstration et Applications en Informa­ G. Dion, I. Petta, G. Foley, J. Kenelly, C. parallel computing and the issues that af­ tique, CIRM, Marseille, France. (Nov. 1992, Vonder Embse, B. Waits. fect the performance of programs running p. 1121) INFORMATION: San Jacinto College Central, on multiprocessor machines. The course is 12-17. Third International Conference on 8060 Spencer Highway, P.O. Box 2007, intended for scientists and engineers who Nonassociative Algebra and its Applica­ Pasadena, TX 77505-2007; 713-476-1501. would like to exploit the potential perfor­ tions, University of Oviedo, Spain. (Nov. 1992, mance of the new parallel architectures for p.l121) * 25-30. International Workshop on Dif. their application needs. The course will and its Applications, 12-23. Conference on Universal Algebra ferential Geometry be divided into three broad themes. There and Category Theory, Mathematical Sciences Bucharest, Romania. will be two three-hour lectures a day, each Research Institute, Berkeley, CA. (May/Jun. PROGRAM: 1\vo-hour lectures given by the covering a particular subtopic. 1992, p. 496) invited speakers (in morning sessions), 45- CONFERENCE TOPICS AND LECTURERS: 1). 13-21. Modeling and Analysis of Phase minute talks and short communications Parallel architectures and their perfor­ Transitions and Hysteresis Phenomena, Villa (in afternoon sessions). A round-table on mance: G. Fox, Syracuse U.; D. Nicol,

MARCH 1993, VOLUME 40, NUMBER 3 281 ------~------·-­Meetings and Conferences

The College of William and Mary. 2). Par­ ference, University of Georgia, Athens, GA. Structural Safety and Reliability (ICOSSAR allel programming languages and tools: D. (Jan. 1993, p. 61) '93), Innsbruck, Austria. (Sep. 1992, p. 774) Walker, Oak Ridge Nat'l Labs; P. Mebro­ 4--6. SIAM Conference on Simulation and 9-13. Analysis Colloquium, Szeged, Hun­ tra, ICASE; D. Reed, U. of Illinois; K. Monte Carlo Methods, San Francisco, CA. gary. (Jan. 1993, p. 61) Kennedy, Rice U:; J. Saltz, U. of Maryland. ODec. 1992,p. 12822) 9-13. Symposium on Mathematics of Com­ 3). Parallel numerical methods: A. Sameh, 4-8. Summer School in Mathematical Quan­ putation 1943-1993: A Half-century of Com­ Center for Supercomputing Research and tum Theory, University of British Columbia, putational Mathematics, University of British Development; J. Van Rosendale, ICASE; Vancouver, B.C. (Feb. 1993, p. 184) Columbia, Vancouver, Canada. D. Keyes, Yale U. INFORMATION: E. Todd, ICASE, Mail Stop 6-19. Stochastic Analysis and Applications INFORMATION: W. Drady, AMS, P.O. Box 132C, NASA Langley Research Center, in Physics, NATO Advanced Study Institute 6887, Providence, RI 02940. Hampton, VA 23681-0001; tel: 804-864- at the Universidade de Madeira. (Jan. 1993, 2175.; Fax: 804-864-6134; e-mail: emily@ p. 61) * 9-14. Analysis of Dynamical and Cognitive icase.edu. 7-21. Semigroups and their Applications, Systems, Huddinge (Stockholm). York, England. (Sep. 1992, p. 774) PROGRAM: One of the most interesting 26-August 6. SMS-NATO ASI: Complex * 8-11. Workshop on ffierarchical Test Gen­ areas of application for dynamical systems Potential Theory, Universite de Montreal, eration, Virginia Polytechnic Institute and is the borderland between network theory Montreal,Canada.ODec. 1992,p. 1282) State University, Blacksburg, VA. and the theory of cognitive processes. This 27-30. Seventh Workshop on Operator combined workshop and summer school Theory and Boundary Eigenvalue Problems, SCOPE: Complex VLSI systems present sig­ nificant problems for test generation. Gate aims at presenting an overview of recent Vienna Technical University, Vienna, Austria. results in this area with a certain bias (Jan. 1993, p. 60) level fault models yield high-quality tests, but their application to circuits with hun­ !owards nonlinear image processing, chaos 31-August 1. Conference on Logic and m type dreds of thousands of gates is prohibitively cellular neural networks, and ffi>del Linguistics, Ohio State University. (Jan. 1993, expensive. Better approaches to test gener­ theorems for cognitive systems. Invited p. 61) ation for these systems is a necessity. speakers will lecture in the mornings, while the afternoons will be devoted research * 31-August 6. Joint Summer Research Con­ PROGRAM: The workshop will bring to­ to ferences in the Mathematical Sciences, Uni­ gether researchers from the hardware de­ seminars during which participants will be able to present their projects. versity of Washington, Seattle. WA. scription language, test, and related com­ munities to discuss these issues in a focused INviTED SPEAKERS: G. Chaitin (IBM Re­ ADDITIONAL INFORMATION: The follow­ search): Algorithmic information theory: ing information was not included in the and interactive forum. Areas of interest include behavior-assisted gate-level and information-theoretic incompleteness the­ full announcement that appeared in the orems; L. Chua (U. of California, Berke­ November 1992 Notices for Distributions switch-level test generation, test construc­ tion from sub-component tests, and test ley): Cellular neural networks: five years with Fixed Marginals, Doubly Stochastic later; J. Leo van Hemmen (TU Miinchen): Measures, and Markov Operators. Women, generation from behavioral models. The workshop will assess the current state of Neural coding: a theoretical vista of mech­ minority, and young investigators are es­ anisms, techniques, and applications; J. pecially encouraged to attend. For more hierarchical test generation and establish research directions and goals for further Nossek (TU Miinchen): Signal processing information please contact contact H. Sher­ F. development of test generation techniques with nonlinear dynamical systems; Pase­ wood (cochair of the organizing com­ mann (TU Clausthal, Clausthal-Zellerfeld): mittee) as soon as possible at the Dept. that can be applied to large and complex circuits. A concrete, immediate result of Attractors, bifurcations and meaning in of Math., University of Central Florida, nonequilibrium neural networks; T. Roska Orlando, FL 32816, or. by e-mail: the workshop will be the creation of a hi­ erarchical test generation model suite that (Hungarian Acad. of Sci.): Programmable [email protected]. Please be sure analog 3D array dynamics-the CNN uni­ to include a vita and bibliography. researchers can use to evaluate and compare hierarchical test generation techniques. versal machine and its use in modelling the INFORMATION: Program Chair, F. Gail Gray, visual pathway. CALL FOR PAPERS: Submit papers before August 1993 Electrical Eng., VIrginia Tech, Blacks­ burg, VA 24061; 703-231-7059; Fax: 703- June 15, 1993. August-December. A Semester at CRM: 231-3362; [email protected]; Pro­ INFORMATION: Course Supervisor, S.I. An­ Spatial and Temporal Dynamics, Universite gram Chair (Europe), W. Geisselhardt, dersson, Chalmers Science Park, S-142 88 +46 de Montreal. (Jan. 1993, p. 61) Univ. Duisburg, Fachbereich 9 Datenverar­ rn>teborg, Sweden; Fax: 31 827421 or +46 31 772 42 40. August 1993. International Conference on beitung, Bismarckstr.81, W-4100 Duisburg New Trends in Computer Science I (NET­ 1, Germany; tel: +49-203-379- 10-14. Summer School in Mathematical COMS 1), University oflbadan, Nigeria. (Nov. 2729; Fax: +49-203-37 04 39; gd@ Quantum Theory, University of British Co­ 1992, p. 1121) du9ds3.uni-duisburg.de; Program Chair lumbia, Vancouver, B.C. (Feb. 1993, p. 185) (Asia), K. Kinoshita, Osaka Univ., Suite 1-7. AbeJsche Gruppen, Oberwolfach, Fed­ 13-17. Second International Colloquium on 565, 2-1 Yamadaoka, Japan; +81-06-879- eral Republic of Germany. (Jan. 1992, p. 57) Numerical Analysis, Plovdiv, Bulgaria. (Dec. 2013; Fax: +81-06-877-2900; kozo@ 1-14. Groups 93 Galway/St. Andrews, Gal­ 1991, p. 1341) ap.osaka-u.ac.jp. way, Ireland. (Nov. 1992, p. 1121) 14-17. First Workshop on Oscillation The­ 2--6. Second Gauss Symposium, Munich, 8-14. Konstruktive Approximationstheorie, ory, Plovdiv, Bulgaria. (Oct. 1992, p. 950) German~ODec. 1992,p. 1282) Oberwolfach, Federal Republic of Germany. 15. Thtorial on Numerical Methods in 2--6. International Symposium on the Math­ (Jan. 1992, p. 57) Control, Signal, and Image Processbig, Uni­ ematical Theory of Networks and Systems, 9:-12. Joint Statistical Meetings, San Fran­ versity of Washington, Seattle, WA. (Jan. 1993, Regensburg, Germany. (Sep. 1992, p. 774) cisco, CA. (Nov. 1991, p. 1172) p. 61) 2-13. Georgia International Topology Con- 9-13. Sixth International Conference on 15-19. Joint Mathematics Meetings, Uni-

282 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Meetings and Conferences

versity of British Columbia, Vancouver, British 22-29. Twenty-ninth International Con­ opments in Geometry and Topology, CIRM, Columbia (including the summer meetings of gress of History of Science, Zaragoza, Spain. Marseille, France. (Please note additional in­ the AMS, AWM, CMS, MAA, and PME). (Apr. 1992, p. 352) formation to Jan. 1993, p. 62) INFORMATION: H. Daly, AMS, P.O. Box 23-27. Lattices, Ordered Sets, and Universal PRooRAM: Exact formulas for the number Algebra (Sixteenth Algebraic Conference in 6887, Providence, RI 02940. of lattice points in polyhedra and develop­ Szeged), Szeged, Hungary. (Jan. 1993, p. 62) ments in different branches of mathematics 15-21. Noncommutative Algebra and Rep­ 23-28. International Conference on AI· which are in some way related to this, e.g.: resentation Theory, Oberwolfach, Federal Re­ gebra Dedicated to the Memory of M.L Dedekind sums and their generalizations, public of Germany. (Jan. 1992, p. 57) Kargapolov, Krasnoyarsk, Russia (JulJAug. Witten invariants and other connections 15-27. XI Latin American School of Mathe· 1992, p. 632) with topology, various invariants in alge­ matics (ELAM), Mexico. (Nov. 1992, p. 1121) 23-September 4. NATO Advanced Study braic geometry (Verlinde formula ... ), spe­ values of zeta functions, and multiple 16-19. Third SIAM Conference on Linear Institute on Polytopes: Abstract, Convex, cial zeta functions and polylogarithms. Algebra in Signals, Systems, and Control, and Computational, Scarborough, Ontario, ORGANIZERS: D. Zagier (MPI-Bonn) and University of Washington, Seattle, WA. (Dec. Canada (Dec. 1992, p. 1283) Kantor (Paris 7). 1992, p. 1283) 24-27. Third Kurt G&lel Colloquium, Bmo, J.-M. Czech Republic. (Jan. 1993, p. 62) INVITED SPEAKERS: J. Barge, A. Gon­ 16-20. First European Nonlinear Oscilla­ charov, N. Huxley, L. Jeffrey, R. Kirby, 24-28. Equadiff 8, Bratislava, Czecho- tions Conference, Hamburg, Germany. (Sep. J. Pommersheim, R. Sczech, D. Wigner. 1992, p. 774) Slovakia (Dec. 1992, p. 1283) 16-20. Conference on Variational Problems 25-September 3. Forty-ninth Biennial Ses· 6-10. Sommes de Dedeklnd en Geom~trie, in Differential Geometry and Partial Dif. sion of the International Statistical Institute, Marseille, France. (Feb. 1993, p. 186) ferential Equations, Trieste, Italy. (Jan. 1993, Firenze, Italy. (Nov. 1991, p. 1172) 6-11. Eleventh International Conference on p. 61) 29-30. Conference on Rings, Extensions, Topology,Trieste, Italy. (Jan. 1993, p. 62) 16-20. Twenty-second Annual Conference: and Cohomology on the Occasion of the 9-15. IMA Tutorial, Institute for Mathematics 1993 International Conference on Parallel Retirement of Daniel Zelinsky, Northwestern and its Applications, University of Minnesota, Processing, The Pennsylvania State Univer­ University, Evanston, IL. (Dec. 1992, p. 1283) Minneapolis, MN. (Jan. 1993, p. 62) sity, University Park, PA. (Jan. 1993, p. 61) 29-September 4~ Random Graphs and Com­ 12-16. Third Dublin Differential Equations 17-20. The Mathematical Heritage of Sir binatorial Structures, Oberwolfach, Federal Meeting, Dublin City University, Dublin, Ire­ William Rowan Hamilton, Dublin, Ireland. Republic of Germany. (Jan. 1992, p. 57) land. (Jan. 1993, p. 62) (May/J\Jll: 1992, p. 497) 30-September 3. Inverse Problems: Princi­ 12-18. Topologie, Oberwolfach, Federal Re­ 17-20. International Symposium on Statis­ ples and Appllcations in Geophysics, Tech­ public of Germany. (Jan. 1992, p. 57) nology, and Medicine, Potsdam (near Berlin), tics with Non-precise Data, Innsbruck, Aus­ 13-17. Fourth European Software En­ Germany.(Sep. 1992,p. 774) tria (Sep. 1992, p. 774) gineering Conference, Garmisch, Germany. 17-21. Second International Conference 30-September 3. Representations des Groupes (JulJAug. 1992, p. 632) ~tAnalyse Complexe, CIRM, Marseille, France. on Finite Fields: Theory, Applications, and 13-17. Tenth Conference on Problems (Nov. 1992,p. 1121) Algorithms, University of Nevada, Las Vegas. and Methods in Mathematical Physics (10. (Sep. 1992,p. 774) 30-September 3. Eleventh International TMP), Chemnitz, Federal Republic of Ger­ New Quallty Philoso­ 18-22. Fourth International Colloquium Conference on the many. (Feb. 1993,p. 186) phy in Statistical Research and Education, on Differential Equations, Plovdiv, Bulgaria. 13-17. Logique de Ia Connaissance et Firenze, Italy. (Jan. 1993, p. 62) (Dec. 199l,p. 1341) Thoorie de Ia Dkision, Marseille, France. 30-September 3. Conference on the Finite IS-September 4. Twenty-third Ecole d'Ete (Feb. 1993, p. 186) * Element Method: Fifty Years of the Courant de Calcul des Probabilltes, Saint-Flour (Can­ 13-18. Different Aspects of Differentiability, Element, Jyvliskylll, Finland. (Jan. 1993, p. 62) tal). Warsaw, Poland. (May/Jun. 1992, p. 497) 30-September 3. International Workshop 14-17. Mathematical Modelling and Sci­ INVITED SPEAKERS: P. Biane (Paris VI): on Valldated Computation, University of * entific Computation (MMSC-93), Sozopol, Calcul stochastique non commutatif; R .. Oldenburg, Germany. (Feb. 1993, p. 185) Durrett (MSI, Cornell U.): Systems of par­ Bulgaria ticles; R. Karp (U. of Berkeley, California): PRooRAM: The purpose of the conference Probabilistic algorithms in computer sci'- . is to make new methodologies for scientific ences. September 1993 computation and new software tools widely Bernard, Univ. Blaise INFORMATION: P. 5-11. Novikov Conjectures, Index Theorems available, to promote contacts between Appliquees, F63177 Pascal, Mathematiques and Rigidity, Oberwolfach, Federal Republic software companies and diverse groups tel: 73.40.70.52 or Aubiere Cedex; of Germany. (Jan. 1992, p. 57) of specialists, and to train and encourage 73.40.70.50; telefax: 73.40.70.64; e-mail: beginning researchers. 5-11. Nonlinear Numerical Methods and [email protected] or CoNFERENCE ToPics: Advanced numerical Rational Approximation, University of [email protected]. methods · (involving interval and parallel Antwerp, Belgium. (Oct. 1992, p. 950) techniques) and applications, mathematical Crypto '93, University of California, 22-26. 5-12. First World Conference on Branching models with interval-valued input data, Santa Barbara (Jan. 1993, p. 61) Processes, Varna, Bulgaria. (Jan. 1993, p. 62) enclosure methods with automatic result 22-27. Colloquium on Topology, LillafUred, 6-8. Bi-National France-Israel Symposium: verification, interval methods in automatic Hungary. (Jan. 1993, p. 62) The Brownian Sheet-New Results and De­ theorem proving, program packages, and 22-28. Speclal Complex Varieties, Oberwol­ velopments, Bar-nan University (Israel). (Feb. applied modeling. fach, Federal Republic of Germany. (Jan. 1992, 1993,p. 185) CALL FOR PAPERS: Papers, nominally four p. 57). * 6-10. Lattice Points In Polyhedra and Devel- pages long, should be submitted via e-mail ·------·------MARCH 1993, VOLUME 40, NUMBER 3 283 Meetings and Conferences

and in printed form to one of the contact * 21-24. Sixth International Workshop on * 4--6. Second International Conference of the persons by Aprill, 1993. Stochastic Geometry, Stereology, and Image ACPC (Austrian Center for Parallel Com­ INFORMATION: S. Markov (chair}, N. Dim­ Analysis in honor of L.A. Santalo, Valencia, putation), Gmunden (near Salzburg}, Austria. itrova (secretary}, Inst. of Biophysics, BAS, Spain. PROGRAM: We invite submissions of pa­ Acad. G. Bonchev str. bl. 21, BG-1113 ORGANIZERS: L. Cruz (U. of Berne), F. pers presenting original research in topics Sofia, Bulgaria, [email protected]; Montes (U. of Valencia). including the following areas: algorithms, D.V. Shiriaev, Karlsruhe, e-mail: dima@ INFORMATION: F. Montes, Universitat de languages, compilers, programming envi­ iamk4058.mathematik.uni-karlsruhe.de; I. Valencia, Departament d'Estadistica i I. 0., ronments, applications, and architectures Dimov, Sofia, [email protected]; R.B. Dr. Mollner, 50, E-46100 Burjassot, Spain; for parallel computation including high­ Kearfott, Dept. of Math., Univ. of South­ tel: +34 6 3864306; Fax: +34 6 3864735; performance computing. western Louisiana, U.S.L. Box 4-1010, e-mail: [email protected]. INFORMATION: A. Spalt, Dept. for Com­ Lafayette, LA 70504-1010, work: 318- puter Graphics and Parallel Processing 231-5270, home: 318-981-9744, e-mail: 26-29. SCAN-93 (Sdentifc Computation, (GUP-Linz), University of Linz, Alten­ [email protected]; Ch. Ullrich, Basel, ecmail: Computer Arithmetic, Validated Numerics), bergerstr. 69, A-4040 Linz, Austria; tel: ullrich @urz.unibas.ch; A.P. Voshinin, Mos­ Wien, Austria. (Feb. 1993, p. 186) ++43-732-2468-885 (887); Fax: ++43-732- cow, e-mail: [email protected]; K. Madsen, 26-0ctober 2. Diophantische Appro:xima­ 2468-822; e-mail: spalt@ gup.uni-linz.ac.at. Lyngby, e-mail: [email protected]; tionen, Oberwolfach, Federal Republic of Ger­ J. Wolff von Gudenberg, Wuerzburg, e­ many. (Jan. 1992, p. 57) 6-8. Games, Logic, and Process, CIRM, inail: [email protected]. 27-28. Workshop on Large Eddy Simula­ Marseille, France. (Jan. 1993, p. 63) 17-20. Technology in Mathematics Teaching tion in Aerodynamics and the Environment, 6-9. Second IMACS International Con­ (TMT '93): A Bridge between Teaching and Universite de Montreal. (Jan. 1993, p. 63) ference on Computational Physics, . Parks Learning, The University of Birmingham, 27-0ctober 1. Orbites P~riodiques des College of St. Louis University, Cahokia, IL. England. (Dec. 1992, p. 1283) Systemes Dynamiques, CIRM, Marseille, (Feb. 1993, p. 186) 18-19. Eastern Section, Syracuse University, France.(Jan. 1993,p.63) 10-16. Invariant Ordering in Geometry Syracuse, NY. * 27-0ctober 1. Fourth Conference on Dis­ and Algebra, Oberwolfach, Federal Republic crete Mathematics, University of Potsdam, of Germany; (Feb. 1993, p. 186) INFORMATION: W. Drady, AMS, P.O. Box Germany. 10-16. Adaptive Methoden filr Partielle 6887, Providence, RI 02940. Ditferentialgleichungen, Oberwolfach, Fed­ PROGRAM: The conference is designed to eral Republic of Germany. (Feb. 1993, p. 186) 19-25. Mathematical Game Theory, Ober­ bring together mathematicians working ac­ wolfach, Federal Republic of Germany. (Jan. tively with algebraic methods in discrete 11-14. Gestion de Projets Statistiques, 1992,p.57) . mathematics. CIRM, Marseille, France. (Jan. 1993, p. 63) 20-24. Methodes Numeriques dans Ia CONFERENCE ToPICS: Clone theory and its * 14-20. Wavelets: Theory, Algorithms, and Theorie des Surfaces de Riemann, CIRM, applications in universal algebra and mul­ App6cations, Taormina, Sicily, Italy. Marseille, France. (Nov. 1992, p. 1122) tivalued logic; equational theory and ap­ ORGANIZERs: C.K. Chui, L. Montefusco, plications; lattice theory and applications; 20-24. Thirteenth Congress of the Austrian and L. Puccio. discrete methods in system identification; Mathematical Society, Linz, Austria. (Dec. INFORMATION: L. Puccio, e-mail: gina@ algebraic theory of automata; algebraic 1992, p. 1284) imeuniv or L. Montefusco, montelan@ questions in the theory of formal languages. 20-24. IMA Workshop on Probability and INVITED SPEAKERS: Germany: B. Bosbach, dm.unibo.it. Algorithms; Institute for Mathematics and its R. Poeschel, H.-D. Gronau, H. Kaiser, D. Applications, University of Minnesota; Min­ * 15-16. Thirteenth Meeting of the South­ Lau, D. Schweigert; Hungary: B. Csakany, neapolis, MN. (Jan. 1993, p. 63) eastern-Atlantic Regional Conference on J. Demetrovic; Russia: G. Gavrilov, V. Ku­ 20-24. Ordinary Differential Equations and Differential Equations, University of North drjavcev, 0. Lupanov; Poland: K. Halkow­ Carolina at WJ.lmington, Wilmington, NC. Their Appllcations, Firenze, Italy. (Feb. 1993, ska, J. Plonka; Canada: I.G. Rosenberg; p. 186) Latvia: I. Strazdin; Bulgaria: K. Cimev; INviTED SPEAKERS: T.H. Banks (N.C. State), * 20-25. International Conference on Number Saarbruecken: P. Maass; US: W. Taylor. T.J. Beale (Duke U.), I. Stakgold (U. of Theory, Tula State Pedagogical Institute, Tula, INFORMATION: Organizers, H. Kaiser, R. Delaware). Russia. Denecke, H.-J. Vogel, Dept. of Math., Uni­ CALL FOR PAPERS: Deadline for submitting versity of Potsdam, Am Neuen Palais 10, abstracts for 20-minute talks is July 31, PROGRAM: All branches in number theory 0-1571 Potsdam, Germany. 1993. and its applications to problems of numer­ INFORMATION: G. Lugo, Dept. of Math. ical mathematics, coding theory, theory of Sci., UNCW, WJ.lmington, NC 28403-3297; transmission of information, teaching of 919-395-3246; [email protected]. number theory at high school. PROGRAM COMMITTEE: S.B. Stechkin, A.B. October 1993 * 15-17. Second International Conference Shidlowsky. 1-3. Joint Meeting with the Deutsche on Ordinal Data Analysis, University of CALL FOR PAPERS: Abstracts should be Mathematiker-Vereinigung V., University Massachusetts, Amherst, MA. submitted before April. 2, 1993 and not e. of Heidelberg, Heidelberg, Germany. exceed one page. SPONSORS: The meeting is sponsored by INFORMATION: pr.Lenina 125, Ped.lnstitute, INFORMATION: H. Daly, AMS, P.O. Box the AMS, the University of Massachusetts, Tula, 300026, Russia; [email protected]. 6887, Providence, RI 02940. the Technische Hochschule Darmstadt, as well as the Classification Societies of North 20-26. Seventh Symposium ·on Classical 3-9. Arbeitsgemeinschaft mit Aktuellem America and Germany. Analysis, Kazimierz Dolny, Poland. (Dec. Thema, Oberwolfach, Federal Republic of PROGRAM: Ordinal data. occur quite fre­ 1992, p. 1284) Germany. (Jan. 1992, p. 57) quently, but theoretical tools for handling

284 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Meetings and Conferences

ordinal data are not sufficiently developed. 6-7. Western Section, Harvey Mudd College, 5-7. Semigroup Theory, Hobart, Tasmania, Several approaches to the analysis of or­ Claremont, CA. Australia. (Feb. 1993, p. 187) and explored. dinal data will be compared INFORMATION: W. Drady, AMS, P.O. Box * 9-15. Algebraic Combinatorics: Assocla· time for It is planned to reserve enough 6887, Providence, RI 02940. tion Schemes and Representation Theory, discussion and the exchange of information Oberwolfach, Federal Republic of Germany. during the conference. Courses on formal 15-19. IMA Workshop on Random Dis· CHAIRMEN: E. Bannai, Fukuoka; A.A. concept analysis will be offered immedi­ crete Structures, Institute for Mathematics Ivanov, Moscow; A. Kerber, Bayreuth; U. ately before the conference (October 14) at and its Applications, University of Minnesota, Ott, Braunschweig. UMASS. Minneapolis, MN. (Jan. 1993, p. 63) PLENARY SPEAKERS: Preliminary: J.-P. INFORMATION: Mathematisches For­ 15-19. SysUmes d'Equations Alg~briques, Barthelemy, J.-P. Doignon, H. Friedman, schungsinstitut Oberwolfach Geschtift­ CIRM, Marseille, France. (Jan. 1993, p. 63) H.J. Henning, M.F. Janowitz, B. Leclerc, sstelle: Alberstrasse 24 W-7800 Freiburg B. Monjardet, I. Rival, F.S. Roberts, S. 21-27. Mathematische ModeUe in der Bi· im Breisgau. Strahringer, R. Wille. ologie, Oberwolfach, Federal Republic of Ger­ many. (Mar. 1992, p. 251) 12-15. Joint Mathematics Meetings, Cincin­ CALL FOR PAPERS: Abstracts due by July 1, nati, OH. (including the annual meetings of the 22-26. ~m~trie Symplectique et Physique 1993. Contributed papers will be allotted AMS, AWM, MAA, and NAM) 20 minutes, including discussion. Math~matique, CIRM, Marseille, France. (Jan. INFORMATION: M.F. Janowitz, Dept. of 1993, p. 63) INFORMATION: H. Daly, AMS, P.O. Box Math. and Stats., University of Massachu­ 22-27. Gb»metrie Symplectique, Marseille, 6887, Providence, RI 02940. setts, Amherst, MA 01003; tel: 413-545- France. (Feb. 1993, p. 187) · Integral- und Pseudo­ 2871; Fax: 413-545-1801; e-mail: * 23-29. Singulare 28-December 4. Nonlinear Equations in Differential-Operatoren und Ihre Anwen­ ordinal @math.umass.edu; or S. Strahringer, Many-Particle Systems, Oberwolfach, Fed­ dungen, Oberwolfach, Federal Republic of Fachbereich Math., Technische Hochschule eral Republic of Germany. (Mar. 1992, p. 251) Germany. Darmstadt, 6100 Darmstadt, Federal Re­ public of Germany; tel: 061511163415 CHAIRMEN: E. Meister, Darmstadt; S. Pr6b­ or 163094; Fax: 061511164011; e-mail: December 1993 dorf, Berlin; B. Silbermann, Chemnitz. [email protected]. INFORMATION: Mathematisches For­ 5-11. Dynamical Zeta Functions, Oberwol­ schungsinstitut Oberwolfach Geschtift­ 17-23. Geometrie, Oberwolfach, Federal Re­ fach, Federal Republic of Germany. (Feb. 1993, sstelle: Alberstrasse 24 W-7800 Freiburg public of Germany. (Jan. 1992, p. 57) p. 187) im Breisgau. 18-22. IMA Workshop on Finite Markov 5-11. Model Selection, Oberwolfach, Federal Chain Renaissance, Institute for Mathematics Republic of Germany. (Feb. 1993, p. 187) 24-28. IMA Workshop on Mathematical for Mathemat­ and its Applications, University of Minnesota, 6-10. International Congress on Modelling Population Genetics, Institute ics and its Applications, University of Min­ Minneapolis, MN. (Jan. 1993, p. 63) Simulation, 1993, University of Western Aus­ nesota, Minneapolis, MN. (Jan. 1993, p. 64) 19-22; 1993 International Conference on tralia, Perth. (Feb. 1993, p. 187) und Network Protocols (ICNP-93), San Francisco, .12-18. General Principles of Discretization * 30-February 5. Nichtstandardanalysis Anwendungen, Oberwolfach, Federal Repub­ CA. (Jan. 1993, p. 63) Algorithms, Theory, and Applications, Ober­ lic of Germany. 20-22. Stage de Bibliothkaires de Math&­ wolfach, Federal Republic of Germany. (Feb. matiques, CIRM, Marseille, France. (Jan. 1993,p. 187) CHAIRMAN: S. Albeverio, Bochum. 1993,p.63) 12-18. Methoden und Verfahren der Math· INFORMATION: Mathematisches For­ ·22-23. Central Section, Texas A&M Univer­ ematischen Physik, Oberwolfach, Federal Re­ schungsinstitut Oberwolfach Geschtift­ sity, College Station, Texas. public of Germany. (Feb. 1993, p. 187) sstelle: Alberstrasse 24 W-7800 Freiburg im Breisgau. INFORMATION: W. Drady, AMS, P.O. Box 6887, Providence, RI 02940. January 1994 Federal 24-30. Mengenlehre, Oberwolfach, January-June 1994. A Semester at CRM: p. 186) February 1994 Republic of Germany. (Feb. 1993, Bifurcations and the Geometry of Vector 25-29. Third SIAM Conference on Geo· Fields, Universite de Montreal. (Jan. 1993, February 1994. WorkshoponDynamicalDis­ metric Design, Seattle, WA. (JulJAug. 1992, p. 63) ease, Laurentian Mountains north of Montreal. p.632) ' * 2-8. Modelltheorie, Oberwolfach, Federal (Jan. 1992, p. 64) 27-30. Seventh International Conference on Republic of Germany. 2-4. IMACS Symposium on Mathemati­ Domain Decomposition Methods, Penn State cal Modelling, Vienna, Austria. (Sep. 1992, A. Pres­ University, State College, PA. (Oct. 1992, CHAIRMEN: U. Feigner, Tiibingen; p. 775) p. 950) tel, Konstanz; M. Ziegler, Freiburg. INFORMATION: Mathematisches For­ * 6-12. · C* -Algebren, Oberwolfach, Federal 31-November 6. Algorithmische Methoden schungsinstitut Oberwolfach Geschlift­ Republic ofGermany. der Diskreten Mathematik, Oberwolfach, sstelle: Alberstrasse 24 W-7800 Freiburg Federal Republic of Germany. (Mar. 1992, CHAIRMEN: J. Cuntz, Heidelberg; U. Haag­ im Breisgau. p. 251) erup, Odense; L. Zsido, Rome. INFORMATION: Mathematisches For­ 4-7. International Symposium on VISCO· schungsinstitut Oberwolfach Geschtift­ Elastic Fluids, Tobago (In the Republic of sstelle: Alberstrasse 24 W-7800 Freiburg Trinidad and Tobago). (Feb. 1993, p. 187) November 1993 im Breisgau. 4-8. International Conference on Harmonic 1-5. Third SIAM Conference on Geometric Analysis and Operator Theory, Caracas, * 13-19. Funktionentheorie, Oberwolfach, Design, Tempe, AZ. (Dec. 1992, p. 1284) Venezuela. (Jan. 1993, p. 64) Federal Republic of Germany.

MARCH 1993, VOLUME 40, NUMBER 3 285 Meetings and Conferences

CHAIRMEN: G. Franak, Berlin; W.K. Hay­ schungsinstitut Oberwolfach Geschiift­ CHAIRMEN: D. Jungnickel, GieSen; J.H. man, Heslington; N. Steinmetz, Dortmund. sstelle: Alberstrasse 24 W-7800 Freiburg van Lint, Eindhoven. INFORMATION: Mathematisches For­ im Breisgau. INFORMATION: Mathematisches For­ schungsinstitut Oberwolfach Geschiift­ schungsinstitut Oberwolfach Geschiift­ sstelle: Alberstrasse 24 W-7800 Freiburg 25-26. Central Section, Kansas State Univer­ sstelle: Alberstrasse 24 W-7800 Freiburg im Breisgau. sity, Manhattan, KS .. im Breisgau. INFORMATION: W. Drady, AMS, P.O. Box * 20-26. Harmonische Analyse und Darstel­ * 24-30. Geschichte der Mathematik, Ober- lungstheorie Topologischer Gruppen, Ober­ 6887, Providence, RI 02940. wolfach, Federal Republic of Germany. wolfach, Federal Republic of Germany. * 27-April 2. Algebraische Gruppen, Ober- CHAIRMEN: K. Chemla, Paris; E. Knobloch, CHAIRMEN: R.E. Howe, New Haven; E. wolfach, Federal Republic of Germany. Berlin; J. Peiffer, Paris. Kaniuth, Paderbom. CHAIRMEN: P. Slodowy, Hamburg; T.A. INFORMATION: Mathematisches For­ INFORMATION: Mathematisches For­ Springer, Utrecht; J. Tits, Paris. schungsinstitut Oberwolfach Geschiift­ schungsinstitut Oberwolfach Geschiift­ INFORMATION: Mathematisches For­ sstelle: Alberstrasse 24 W-7800 Freiburg sstelle: Alberstrasse 24 W-7800 Freiburg schungsinstitut Oberwolfach Geschiift­ im Breisgau. im Breisgau. sstelle: Alberstrasse 24 W-7800 Freiburg * 27-March 5. Mathematical Economics, im Breisgau. Oberwolfach, Federal Republic of Germany. The following new announcements will not * 27-April 2. Endllche Modelltheorie, Ober- be repeated until the criteria in the last CHAIRMEN: G. Debreu, Berkeley; W. Hilden­ wolfach, Federal Republic of Germany. paragraph in the box at the beginning of this brand, Bonn; D. Sondermann, Bonn. CHAIRMEN: H.-D. Ebbinghaus, Freiburg; J. section are met. INFORMATION: Mathematisches For­ Flum, Freiburg; Y. Gurevich, Ann Arbor. schungsinstitut Oberwolfach Geschiift­ INFORMATION: Mathematisches For­ sstelle: Alberstrasse 24 W-7800 Freiburg schungsinstitut Oberwolfach Geschiift­ im Breisgau. sstelle: Alberstrasse 24 W-7800 Freiburg May 1994 im Breisgau. 28-March 4. IMA Workshop on Stochastic * 1-7. Gruppentheorie, Oberwolfach, Federal Networks, Institute for Mathematics and its Republic of Germany. Applications, University of Minnesota, Min­ neapolis, MN. (Jan. 1993, p. 64) CHAIRMAN: O.H. Kegel, Freiburg. INFORMATION: Mathematisches For­ Aprll1994 schungsinstitut Oberwolfach Geschiift­ * 3-9. Arbeitsgemeinschaft Mit AktneUem sstelle: Alberstrasse 24 W-7800 Freiburg Thema (wird in den Mitteilungen der DMV im Breisgau. Heft 111994 Bekanntgegeben), Oberwolfach, March 1994 * 2-6. International Conference on Topolog­ Federal Republic of Germany. * 6-12. Mathematische Stochastik, Oberwol- ical Vector Spaces, Algebras, and Related fach, Federal Republic of Germany. INFORMATION: Mathematisches For­ Areas, McMaster University, Hamilton, On­ schungsinstitut Oberwolfach Geschiift­ tario, Canada. CHAIRMEN: M. Nussbaum, Berlin; A. Wakol­ sstelle: Alberstrasse 24 W-7800 Freiburg PROGRAM: The conference is in honor ofT: binger, Linz. im Breisgau. INFORMATION: Mathematisches For­ Husain on the occasion of his 65th birthday. schungsinstitut Oberwolfach Geschiift­ * 5-11. Effective Methods in Algebraic Ge- Its purpose is to bring together national and sstelle: Alberstrasse 24 W-7800 Freiburg ometry (MEGA '93), Santander, Spain. international researchers in an environment im Breisgau. conducive to further research. CHAIRMAN: L. Gonzalez-Vega, Santander. INVITED SPEAKERS: M.A. Akoglu, Toronto; * 13-19. Elementare und Analytische Zahlen­ INFORMATION: T. Recio, Dept. de Mat., S.T.L. Choy, Singapore; M. DeWilde, Liege; theorie, Oberwolfach, Federal Republic of Estadistica y Computation, Universidad de J. Giles, Newcastle; V. Klee, Seattle; A. Germany. Cantabria, E-39071 Santander. Lau, Edmonton; M. Oudadess, Rabat; T. Radjavi, Halifax; W. Roelcke, Munich; CHAIRMEN: H.L. Montgomery, Ann Arbor; 9-10. Eastern Section, Polytechnic Univer­ A.H. Siddiqi, Aligarh; I. Tweddle, Strath­ W. Schwarz, Frankfurt; E. Wrrsing, Ulm. sity, Brooklyn, NY. INFORMATION: Mathematisches For­ clyde; W. Zelazko, Warszawa. schungsinstitut Oberwolfach Geschiift­ INFORMATION: W. Drady, AMS, P.O. Box INFORMATION: H.P. Heinig, E.T. Sawyer, sstelle: Alberstrasse 24 W-7800 Freiburg 6887, Providence, RI 02940. or M. Ttku, Dept. of Math. and Stats., Mc­ im Breisgau. Master Univ., Hamilton, Ontario, Canada * 10-16. Numerical Linear Algebra with L8S 4K1; Fax: 416-522-0935; e-mail: 18-19. Central Section, University of Ken­ Applications, Oberwolfach, Federal Republic sawyer@mcmaster. tucky, Lexington, Kentucky. of Germany. 8-14. Variationsrechnung, Oberwolfach, CHAIRMEN: G.H. Golub, Stanford; W. * INFORMATION: W. Drady, AMS, P.O. Box Federal Republic of Germany. 6887, Providence, RI 02940. Niethammer, Karlsruhe; R.S. Varga, Kent. INFORMATION: Mathematisches For­ CHAIRMAN: E. Zeidler, Leipzig. * 20-26. Regelungstheorie, Oberwolfach, Fed- schungsinstitut Oberwolfach Geschiift­ INFORMATION: Mathematisches For­ eral Republic of Germany. sstelle: Alberstrasse 24 W-7800 Freiburg schungsinstitut Oberwolfach Geschiift­ im Breisgau. sstelle: Alberstrasse 24 W-7800 Freiburg CHAIRMEN: H.W. Knobloch, Wtlrzburg; M. im Breisgau. Thoma, Hannover. * 17-23. Designs and Codes, Oberwolfach, INFORMATION: Mathematisches For- Federal Republic of Germany. * 15-21. Critical Phenomena in Spatial Sto-

286 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Meetings and Conferences

chastic Models, Oberwolfach, Federal Repub­ CHAIRMEN: G. Felder, ZUrich; J .M. Frtlhlich, lic of Gennany. ZUrich; H. Kntlrrer, ZUrich. INFORMATION: Mathematisches October 1994 CHAIRMEN: H.-0. Georgii, Miinchen; G.R. For­ Grimmett, Bristol. schungsinstitut Oberwolfach Geschiift­ 28-29. Central Section, Oklahoma State sstelle: Alberstrasse INFORMATION: Mathematisches For­ 24 W-7800 Freiburg University, Stillwater, Oklahoma. im schungsinstitut Oberwolfach Geschiift­ Breisgau. INFORMATION: W. Drady, AMS, P.O. Box sstelle: Alberstrasse 24 W-7800 Freiburg 6887, Providence, RI 02940. im Breisgau. * 19-25. Integrable Systems from a Quantum Point of View, Oberwolfach, Federal Republic * 22-28. Dlskrete Geometrie, Oberwolfach, ofGennany. Federal Republic of Gennany. November 1994 CHAIRMEN: P. van Moerbeke, Louvain-la­ 11-13. Southeastern Section, University CHAIRMEN: L. Danzer, Dortmund; G.C. Neuve; W. Nahm, Bonn. of Richmond, Richmond, VA. Shephard, Norwich. INFORMATION: Mathematisches For­ INFORMATION: Mathematisches For­ schungsinstitut Oberwolfach Geschlift­ INFORMATION: W. Drady, AMS, P.O. Box schungsinstitut Oberwolfach Geschiift­ sstelle: Alberstrasse 24 W-7800 Freiburg 6887, Providence, RI 02940. sstelle: Alberstrasse 24 W-7800 Freiburg im Breisgau. im Breisgau. March 1995 * 29-June 4. Singulare Storungsrechnung, * 26-July 2. Graphentheorie, Oberwolfach, Oberwolfach, Federal Republic of Gennany. Federal Republic of Gennany. 24-25. Central Section, DePaul University, Chicago, IL. CHAIRMEN: J. Hale, Atlanta; W. Jliger, CHAIRMEN: B. Toft, Odense; C. Thomassen, Heidelberg; L. Modica, Pisa. Lyngby. INFORMATION: W. Drady, AMS, P.O. Box INFORMATION: Mathematisches For­ INFORMATION: Mathematisches For­ 6887, Providence, RI 02940. schungsinstitut Oberwolfach Geschiift­ schungsinstitut Oberwolfach Geschlift­ sstelle: Alberstrasse 24 W-7800 Freiburg sstelle: Alberstrasse 24 W-7800 Freiburg im Breisgau. im Breisgau. November 1995 3-4. Central Section, Kent State University, Kent, Ohio. June 1994 August1994 INFORMATION: W. Drady, AMS, P.O. Box * 12-18. Nichtlinearitaten vom Hysteresis­ 6887, Providence, RI 02940. typ, Oberwolfach, Federal Republic of Ger­ 3-11. The International Congress of Math­ many. ematicans 1994, ZUrich, Switzerland. (Oct. 1992,p.951) Janaury 1996 CHAIRMEN: K.-H. Hoffmann, Miinchen; I. MUller, Berlin; J. Sprekels, Essen. 15-17. Mathfest, University of Minnesota, 10-13. Joint Mathematics Meetings, Or­ INFORMATION: Mathematisches For­ Minneapolis, MN (including the summer meet­ lando, Florida (including the annual meetings schungsinstitut Oberwolfach Geschlift­ ings of the AMS, AWM, MAA, and PME). of the AMS, AWM, MAA, and NAM). sstelle: Alberstrasse 24 W-7800 Freiburg INFORMATION: H. Daly, AMS, P.O. Box im Breisgau. INFORMATION: H. Daly, AMS, P.O. Box 6887, Providence, RI 02940. 6887, Providence, RI 02940. 16-18. Western Section, University of Ore­ gon, Eugene, Oregon. * 20-26. International Conference on Rings March 1996 INFORMATION : W. Drady, AMS, P.O. Box and Radicals, Shijiazhuang, China. 22-23. Central Section, University of Iowa, 6887, Providence, RI 02940. CHAIRMEN: S.X. Liu, Beijing Nonnal Univ.; Iowa City, Iowa. Y.S. Zhu, Hebei Teacher's Univ. * 19-25. Quantenmechanik von Vieltellchen INFORMATION: Hebei Teacher's University, INFORMATION: W. Drady, AMS, P.O. Box Systemen, Oberwolfach, Federal Republic of Dept. of Math., Shijiazhuang, 6887, Providence, RI 02940. Gennany. P. R. China 050016.

MARCH 1993, VOLUME 40, NUMBER 3 287 New Publications Offered by the AMS

method to the Rogers-Ramanujan identities; J, Galambos, Extensions of some extremal properties of prime divisors to Poisson limit theorems; E. Gethner, CONTEMPORARY MATHEMATICS Rational period functions with irrational poles are not Heeke eigenfunctions; D. Goldfeid and J, Hoffstein, On the number of Fourier coej]icients that determine a modular form; S. M. Gonek, An explicit formula of lAndau and - its applications to the theory of the zeta-function; B. Gordon and K. Hughes, ~¥l'N'tEfiltP\\)R~R'Y Multiplicative properties of n-products IT; M. J, Grady and M. Newman, ~~~Tflt!MA!ll~ A Tribute to Emil Grosswald: Number Counting subgroups of given index in Heeke groups; J, L. Hafner and K. S. McCurley, Relatively prime values of polynomials; P. Hagls, A new proof that Theory and Related every odd triperfect number has at least twelve prime factors; J, H. HawkiDs A Tribute to Emil 8roawotd: Number Theory and M. L Knopp, A Hecke-Weil correspondence theorem for automorphic and Related Topics Analysis Mark Sheingorn integrals on (1'0)(N), with arbitrary rationol period functions; J, Lehner, Lagrange's theorem for Heeke triangle groups; M. R. Murty and V. K. Murty, and Marvin Knopp, Base change and the Birch-Swinnerton-Dyer conjecture; D. J, Newman, A Editors "notural" proof of the non-vanishing of L-series; A. M. Odlyzko and C. M. Sldnner, Nonexistence of Siegel zeros in towers of radical extensions; L. A. - .t"'w.;r;t;mM!'.1M!'I'W..:iittt->.'>\": Volume 143 Parson, Modular integrals and indefinite binary quadratic forms; R. A. Rankin, Emil Grosswald was a mathematician of great accomplishment and remarkable breadth of vision. This volume Diagonalizing Eisenstein series IT; D • .Rosen, Multiplier systems for the Heeke pays tribute to the span of his mathematical interests, which is reflected groups G(../i) and G(v'j); M. Sheingorn, Law height Heeke triangle group in the wide range of papers collected here. With contributions by geodesics; T. R. Shemanske and L. H. WalliDg, On the Shimura lift for Hilbert leading contemporary researchers in number theory, modular functions, modular forms; H. M. Stark, Dirichlet's class-number formula revisited; combinatorics, and related analysis, this book will interest graduate D. Zeilberger, Closed form (pun intended!); D. Zeilberger, Gert Almkvist's students and specialists in these fields. The high quality of the articles generalization of a mistake of Bourbaki. and their close connection to current research trends make this volume 1991 Mathematics Subject Classification: 05A16, 05A30, 11-06, 14H45, 33C05 a must for any mathematics library. ISBN 0-8218-5155-1, LC 92-39436, ISSN 0271-4132 612 pages (softcover), March 1993 Contents Individual member $47, List price $79,1nstitutional member $63 In appreciation of Emil Grosswald; PhD. students of Emil Grosswald; To order, please specify CONM/143N Publications of Emil Grosswald; M. L Knopp and M. Sheingom, Preface; G. Almkvlst, A rather exact formula for the number of plane partitions; G. E. Andrews, On Ramanujan's empirical calculation for the Rogers-Ramanujan - ~~NTEMP\\)R:A!RY Banach Spaces identities; P. T. Batenum, Integers expressible in a given number of ways !VIA.THEMA!'tl~$ Bor-Luh Lin and William B. as a sum of two squares; B. C. Berndt and J, L. Hafner, A theorem of ------Ramanujan on certain alternating series; D. M. Bressoud and S.-Y. Wei, Johnson, Editors .

Combinatorial equivalence of definitions of the Schur function; N. J, Celnicker, Banach Spacea Volume 144 S. C. Poulos, A. A. Terns, C. E. Trimble, and E. L. Velasquez, Is there This volume contains the proceedings life on finite upper half planes?; Y. Choie and D. B. Zagier,#!.atianal of the International Workshop on Banach period functions for PSL(2, Z); L. A. Parson, Rational period functions Space Theory, held at the Universidad · and indefinite binary quadratic forms m; D. V. Chudnovsky and G. V. de Los Andes in Merida, Venezuela in Chudnovsky, Hypergeometric and modular function identities, and new rational January 1992. These refereed papers approximations to, and continued fraction expansions of classical constants ------"'"'"~..l·!t· .,"')",:ih; Vit contain the newest results in Banach and functions; H. Cohn, Orbital modular equations; F. Delmer and J.-M. space theory, real or complex function Deshouillers, On a generalization of Farey sequences I; H. G. Diamond, spaces, and nonlinear functional analysis. There are several excellent H. Halberstam, and H.-E. Richert, Sieve auxiliary functions IT; B. A. survey papers, including ones on homogeneous Banach spaces and Datskovsky, A mean-value theorem for class numbers of quadratic extensions; applications of probability inequalities, in addition to an important W. D. Duke and H. Iwaniec, A relation between. cubic exponential and research paper on the distortion problem. This volume is notable for the Kloosterman sums; L. Ehrenprei.s, Function theory for Rogers-Ramanujan-like breadth of the mathematics presented. partition identities; P. Erdos, J, C. Knappenberger, and M. Newman, Forcing two sums simultaneously; R. J, Evans, K. B. Stolarsky, and J, J, Wavrik, Contents Difference polynomials; J, E. Friedman, An application of Ehrenpreis's basis R. Alencar, An application of Singer's theorem to homogeneous polynomials; D. E. Alspach, A~-predua1 which is not isometric to a quotient of C(a);

Use the ~ form in the back of this issue or call 800-321-4AMS (800-321-4267) in the U.S. and Canada to use VISA or MasterCard.

288 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY ------New PubHcations Offered by the AMS

R. M. Aron, Y. S. Cboi, and M. L. Louren, and 0. W. Paques, Boundaries for den Ban and H. Schllchtkrull, Multiplicities in the Plancherel decomposition algebras ofanalytic functions on infinite dimensional Banach spaces; 0. Blasco, for a semisimple symmetric space; C. Benson, J. JenkiDs, and G. Ratcllfl', Multipliers on weighted Besov spaces of analytic functions; P. G. Casazza, Some O(n)-spherical functions on Heisenberg groups; F. Bien, Orbits, multiplicities, questions arising from the homogeneous Banach space problem; S. J. Dilworth, and differential operators; M. Fleusted-Jensen, A simple approach to Some probabilistic inequalities with applications to functional analysis; S. J. D).. -modules; J.-S. Li, Theta series and construction ofautomorphic forms; B. H. Dilworth and M. Girardi, Bochner vs. Pettis norm: examples and results; Lian and G. J. Zuckerman, An application of infinite dimensional Lie theory P. N. Dowling, Z. Hu, and M. A. Smith, Extremal structure of the unit ball of to semisimple Lie groups; H. Matumoto, On the existence of homomorphisms C(K, X); J. M. Dye, T. Kuczulnow, P.-K. Lin, and S. Reich, Rarulom products between scalar generalized vermo modules; S. Sabi, Unitary representations on ofnonexpansive mappings in spaces with the Opial property; J. Farmer and the Shilov boundary of a symmetric tube damain; W. Schmid and K. Vilonen, w. B. Johnson, Polynomial Schur and polynomial Dunford-Pettis properties; A. Characters, fixed points, and Osborne's conjecture; D. Vogan, The local Garda del Amo and F. L. Hem&ndez, On embeddings offunction spaces into Lang lands conjecture; Part IV. C* -algebras: R. P. Boyer, Representation V + Lq; B. V. Godun, B.-L. Lin, and S. L. 'ftoyanski, On Auerbach bases; theory of infinite dimensional unitary groups; M. Didlrlat, C* -algebras and B. V. Godun and S. L. 'Ii"oyanski, Renorming Banach spaces with fundamental applications; G. A. Elliott, Are amenable C* -algebras classifiable?; E. C. biorthogonal system; Y. Gordon, Quantitative estimates on rarulom subspaces · Gootman, Spectra for group actions; V. Nistor, Higher McKean-Singer index which miss arbitrary measurable sets on the sphere; z. Hu and B.-L. Lin, formulae and noncommutative geometry; R. T. Powers and G. L. Price, Binary Three-space problem for the asymptotic-norming property of Banach spaces; shifts on the hyperjinite lit factor; M.A. Rielfei, Compact quantum groups K. Jarosz; /sometries ofBlock spaces; W. A. Kirk, Property (/3) and Edelstein's associated with Toral subgroups. algorithms for constructing nearest and farthest points; H. Knanst, p -Hilbertian 1991 Mathematics Subject Classification: 22E30, 22E35, 22E50, 22E65, 46L05 subsequences in I. (X); D. N. Kutzarova, B.-L. Lin, and W. Zhang, Some ISBN 0-8218-5168-3, LC 92-43340, ISSN 0271-4132 geometrical properties ofBanach spaces related to nearly uniform convexity; 491 pages (softcover), March 1993 . V. D. Milman and N. Tomczak-Jaegermann, Asymptotic lp spaces and Individual member $30, List price $50, Institutional member $40 bounded distortions; E. Odell, On Schreier unconditional sequenes. To order, please specify CONM/145N 1991 Mathematics Subject Classification: 46-06, 46B03, 46B04, 46B07, 46B09, 46B10,46B15,46B20,46B22,46B26,46E15,46E25,46E30,46E50,~15, New Series from the AMS! 46020 ISBN 0-8218-5157-8, LC 92-46467, ISSN 0271-4132 201 pages (softcover), March 1993 Graduate Studies in Mathematics will offer English-language books Individual member $25, List price $42, Institutional member $34 as well as translations. This new series offers instructors a selection To order, please specify CONM/144N of graduate-level textbooks. Exam copies are available by calling l-800-321-4AMS (U.S. and Canada) or 401-455-4000. Librarians wishing to recommend suitable books to graduate students will find Representation Theory this series useful as well. of Groups and Algebras Ronald L. Lipsman, Jeffrey Repre•ntaflon Theory of Glroups and Algebras Adams, Rebecca A. Herb, GRADUATE STUDIES IN MATHEMATICS Stephen S. Kudla, Jian-Shu Li, and Jonathan M. Rosenberg, Editors • Volume 145 The General Topology Touching on virtually every important of Dynamical Systems topic in modern representation theory, this book contains proceedings Ethan Akin of the activities of the Representation Theory Group at the University Volume 1 of Maryland at College Park during the years 1989-1992. Covered here are the latest results in the field, providing a readable introduction Topology, the foundation of modern analysis, arose historically as a way to the work of some of the best young researchers in representation theory. The book spans a very broad spectrum-for example, within to organize ideas like compactness and connectedness which had emerged real representation theory, both semisimple and nonsemisimple analysis are discussed; within C* -algebras, both geometric 'and nongeometric from analysis. Similarly, recent work approaches are studied. In addition, the articles are exceptionally in dynamical systems theory has well written and range from research papers aiined at specialists to both highlighted certain topics in the expository articles accessible to graduate students. pre-existing subject of topological dynamics (such as the construction of Lyapunov functions and various notions of stability) and also generated Contents new concepts and results (such as attractors; chain recurrence, and basic Part L Keynote Speakers:A. A. KiriUov, The orbit method, 1: Geometric sets). This book collects these results, both old and new, and organizes quantization; A. A. KiriUov, The orbit method, IT: Infinite-dimensional them into a natural foundation for all aspeCts of dynamical systems Lie groups and Lie algebras; J. Cuntz, Quantized differential forms in theory. No existing book is comparable in content or scope. Requiring non-commutative topology and geometry; G. Kasparov, Novikov's conjecture background in point-set topology and some degree of "mathematical on higher signatures; D. Voic:ulescu, lit factors of free groups and random sophistication", Akin's book serves as an excellent textbook for a matrices; Part n. p -adic Groups:T. Hales, A simple definition of transfer graduate course in dynamical systems theory. In addition, Akin's factors for unramified groups; M. Heumos, Models and periods for automorphic reorganization of previously scattered results makes this book of interest forms on GLn; L. Morris, The admissible dual via restriction to open compact to mathematicians and other researchers who use dynamical systems in subgroups; F. M111'11llgban, Asymptotic behavior of supercuspidal characters; their work. (continued) Part m. Symmetric Spaces, Real Groups, and the Orbit Method: E. van

MARCH 1993, VOLUME 40, NUMBER 3 289 New Publications Offered by the AMS

Contents Introduction: Gradient systems; Closed relations and their dynamic TRANSLATIONS OF MATHEMATICAL extensions; Invariant sets and Lyapunov functions; Attractors and basic sets; MappingHnvariant subsets and transitivity concepts; Computation ofthe chain MONOGRAPHS recurrent set; Chain recurrence and Lyapunov functions for flows; Topologically robust properties of dynamical systems; Invariant measures for mappings; Examples---circles, simplex, and symbols; Fixed points; Hyperbolic sets and axiom A homeomorphisms; Historical remarks. Arithmetic of Probability 1991 Mathematics Subject Classification: 58Fxx; 34Cri, 34Dxx Distributions, and ISBN 0-8218-3800-8, LC 92-41669, ISSN 1065-7339 261 pages (hardcover), March 1993 Characterization · Individual member $30, List price $50, Institutional member $40 Problems on Abelian To order, please specify GSM/lN Groups GennadiT M. Fel'dman ISRAEL MATHEMATICAL CONFERENCE Volume 116 This book studies the problem of PROCEEDINGS the decomposition of a given random variable into a sum of independent random variables (components). Starting from the famous Cram6r theorem, which says that all components of a normal random variable Set Theory of the Reals are also normal random variables, the central feature of the book is Fel'dman's use of powerful analytical techniques. In the algebraic case, Haim Judah, Editor one cannot directly use analytic methods because of the absence of a Volume6 natural analytic structure on the dual group, which is the domain of The branch of mathematics concerned characteristic functions. Nevertheless, the methods developed in this with set theory of the reals began with book allow one to apply analytic techniques in the algebraic setting. The Cantor's work in abstract analysis and first part of the book presents results on the arithmetic of probability was continued by Hausdorff, Lebesgue, distributions of random variables with values in a locally compact Sierpinksi, Luzin, Fraenkel, Zermelo, abelian group. The second part studies problems of characterization Rothberger, Godel, and others. Today of a Gaussian distribution of a locally compact abelian group by the the most important research directions independence or identical distribution of its linear statistics. are based on the work of Paul Cohen Contents on the size of the continuum. The central problem in this area is to Auxiliary results; Arithmetic of distributions; Characterization problems; understand the structure of the continuum when its size is at least ~3· It is still generally believed that the size of the continuum should be Appendix 1. Group analogs of the Marcinkiewicz Theorem and the Lukacs the guiding light for further research in set theory. This book presents Theorem; Appendix 2. On decomposition stobility of distributions; Appendix the proceedings of a Wmter Institute on "Set Theory of the Reals" 3. Structure of infinitely divisible Poisson distributions; Appendix 4. On held at Bar-nan University in January 1991. Containing mostly survey distributions with mutually singular powers. papers, the book provides an excellent account of present knowledge in 1991 Mathematics Subject Classification: 60B 15, 60E05; 22805, 43A25 this area and an outline for future research. Set Theory of the Reals is ISBN 0-8218-4593-4, LC 92-45025, ISSN 0065-9282 accessible to graduate students in set theory, abstract analysis, topology, 223 pages (hardcover), March 1993 measure theory, model theory, and logic. Individual member $76, List price $127, Institutional member $102 This volume was published by Bar-nan University and is distributed To order, please specify MMONO/ll6N bytheAMS. Contents Uncountably Categorical S. Shelah, The future of set theory; T. Bartoszynski and H. Jodab, Strong Theories measure zero sets; A. Blass, Simple cardinal characteristics of the continuum; J. Brendle, Set theoretic aspects of nan-abelian groups; L. Bukovsky, Boris Zilber Thin sets related to trigonometric series; M. Burke, Liftings for Lebesgue Volume 117 measure; D. FremUn, Real-valued-measurable cardinals; M. Goldstem, The 1970s saw the appearance and Tools for your forcing construction; H. Jodab, Ll~-sets of reals; H. Jodab development in categoricity theory of and A. Rollbmowsld, On Shelah's amalgamation; A. Miller, Special sets of a tendency to focus on the study and reals; M. Repicky, Cardinal invariants related to porous sets; M. Sc:heepers, description of uncountably categorical Gaps in w"'; 0. Spiuas, Cardinal invariants and quadratic forms; J. Stepriins, the9ries in various special classes Combinatorial consequences of adding Cohen reals; P. Vojtas, Generalized defined by natural algebraic or syntactic Galois-Tukey-connections; Arnie Miller's problem list. conditions. There have thus been studies 1991 Mathematics Subject Classification: 04; 03E35, 03FAO, 03E50, 03E60, of uncountably categorical theories of groups and rings, theories of a 04A15, 04A20 one-place function, universal theories of semigroups, quasivarieties ISSN 0792-4119 categorical in infinite powers, and Hom theories. In Uncountably 654 pages (softcover), March 1993 Categorical Theories, this research area is referred to as the special Individual member $37, List price $6l,lnstitutional member $49 classification theory of categoricity. Zither's goal is to develop a To order, please specify IMCP/6N structural theory of categoricity, using methods and results of the special classification theory, and to construct on this basis a foundation

------·································-----·------·------210 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY New Publications Offered by the AMS

for a general classification theory of categoricity, that is, a theory aimed maps to spheres; W. H. Meeks Ill, The geometry, topology, and existence of at describing large classes of uncountably categorical structures not periodic minimal swfaces; F. Morgan, Soap films and mathematics; L. H. restricted by any syntactic or algebraic conditions. Mou, Uniform boundary reguhlrity estimates for minimo of certllin quadratic functionals; V. OUker, Self-similar solutions and asymptotic behavior offlows of Contents nonparametric swfaces driven by Gauss or mean curvature; P. L. Robinson, A Survey ofpreliminary results and terminology; Three types of uncountably report on geometric quantization; J. E. Taylor, Motion of curves by crystalline categorical structures; Classification of infinite locally finite homogeneous curvature, including triple junctions and boundary points; C.-L. Terng, Recent pregeometries; Description ofstrongly minimal quasi-algebras; Global structure progress in submanifold geometry; P. Tomter, Constant mean curvature swfaces ofuncountably categorical structures. in the Heisenberg group; H. C. Wente, Complete immersions of constant mean 1991 Mathematics Subject Classification: 03-02, 03C35, 03C60, OSB25 curvature; H. Wu, Banach manifolds of minimal swfaces in the 4-sphere; ISBN 0-8218-4586-1, LC 92-31151, ISSN 0065-9282 S. Zheng, On the isolatedness for the solutions ofPlateau's problem; 122 pages (hardcover), March 1993 Part 2: Geometry In Mathematical Physics and Related Topics: Individual member List price $97, Institutional member $78 $58, M. Adams, C. McCrory, T. Sbifrin, and R. Varley, Invariants ofGauss maps To order, please specify MMON0/117N of theta divisors; A. Banyaga, On characteristics of hyperswfaces in symplectic manifolds; J. K. Deem, Disprisoning and pseudoconvex manifolds; L. B. Bergery and A. Ikemakhen, On the holonomy ofLorentzian manifolds; J.-P. PROCEEDINGS OF SYMPOSIA IN PURE Bourguignon. Spinors, Dirac operators and changes of metrics; C. P. Boyer MATHEMATICS and B. M. Mann, The Hyperkiihler geometry of the ADHM construction and quaternionic geometric invariant theory; S. B. Bradlow, Non-abelian vortices and a new Yang-Mills-Higgs energy; E. Calabi and H. Gluck, What are the best almost-complex structures on the 6-sphere?; L. A. Cordero, M. Fermindez, and A. Gray, The failure of complex and symplectic manifolds to be Kiihlerian; Differential Geometry K. Corlette, Nonabelian Hodge theory; X. Dai, Geometric invariants and Robert E. Greene and their adiabatic limits; A. Derdzlnsld, Geometry of elementary particles; D. De'l'urdt, H. Goidsdunidt, and J. 'IBivac:c:bla, Existence of connections S. T. Yau, Editors with prescribed Yang-Mills currents; L. D. Drager and R. L. Foote, Vector Volume 54 bundles over homogeneous spaces and complete, locally symmetric spaces; These three parts contain the T. A. Drumm, Margulis space-times; D. Duncan and E. Ihrig, Incomplete proceedings of the AMS Summer flat homogeneous geometries; P. E. EhrHch and G. G. Emch, Geodesic and Institute on Differential Geometry, held causal behavior of gravitational plane waves: astigmatic conjugacy; J. H. G. at the University California, Los Angeles Fu, Curvature of singuhlr spoces viO the normal cycle; R. 0. Fulp, The in July, 1990. This was q.te largest nonintegrable phase factor and gauge theory; G. J. Galloway, The Lorentzian AMS Summer Institut~t.,~er; reflecting version of the Cheeger-Gromoll splitting theorem and its application to general the wide-ranging and mtense research relativity; P. Gauduchon. Weyl structures on self-dual conformal manifolds; activity in the subject. The parts contain many extensive survey articles J. F. Glazebrook and F. W. Kamber, Chiral anomalies and Dirac families presenting perspectives on relatively bioad topics; these articles would in Riemannian foliations; S. G. Harris, What is the shape of space in a be accessible to advanced graduate students. In addition, the authors of spacetime?; A. D. Helfer, The kinematics of the gravitational field; S. Helgason, the research articles were encouraged to survey the relevant literature. Support theorems in integral geometry and their applications; O.Hijazi, Killing The three parts together offer the deepest and most comprehensive spinors and eigenvalues of the Dirac operator; G. R. Jensen and M. RigoH, survey of recent research in differential geometry available today. Einstein metrics on circle bundles; T. Jiang and S. S.-T. Yau, Topological and differentiable structures of the complement of an arrangement of hyperplanes; Com.nts H. Kim, The relationship between the moduli spaces of vector bundles on Part 1: Partial Differential Equatio~ on Manifolds: K3 swfaces and Enriques swfaces; C. LeBrun and Y. S. Poon, Self-dual S. T. Yau, Open problems in geometry; F. Almgren, Questions and answers manifolds with symmetry; E. H. Lieb, Remarks on the Skyrme model; E. B. abaut area-minimizing swfaces and geometric measure theory; D. Bao Lin, Geometric settings for quantum systems with isospin; J. Lott, Heat kernels and T. Ratiu, On the geometrical origin and the solutions of a degenerate on covering spaces and topological invariants; Q.-K. Lu, The heat kernels of Monge-AmJMre equation; R. W. Brockett, Differential geometry and the design symmetric spaces; J. J. Miiison, CR-geometry and deformations of isolated of gradient algorithms; Y.-J. Cbiang, S'pectral geometry of V -manifolds and singularities; L. K. Norris, Generalized symplectic geometry on the frame its application to harmonic maps; H. L Cboi and A.. Treiberp, Constructing bundle of a manifold; D. H. Pbong, Complex geometry and string theory; harmonic maps into the hyperbolic space; D. De'l'urdt·and W. Ziller, Spherical L. Sadun and J. Segert, Constructing non-self-dual Yang-Mills connections minimal immersions ofspherical space forms; J. DorfmeJster, Banach manifolds on S4 with arbitrary Chern number; A. Sengupta, The Yang-Mills measure of solutions to nonlinear partial differential equations, and relations With for the two-sphere; L. M. Sibner, Examples of nonminimal critical points in /mite-dimensional manifolds; R. Hardt, Some new harmonic maps; J. Bass, gauge theory; N. K. Stanton. Spectral invariants ofpseudoconformal manifolds; J. T. Pitts, and J. H. Rubinstein, Existence of unstable minimal swfaces in M. Stern, ~-cohomology and index theory ofnoncompact manifolds; W.-W. manifolds with homology and applications to triply periodic minimal swfaces; Sung, On Calabi-Yau three-folds fibered over smooth complex swfaces; G. 'Dan, W.-Y.llsiang. Closed minimal submanifolds in the spheres; G. Hulsken. Local Degeneration ofKiihler-Einstein manifolds. I; Y. L. L. Tong, Flat connections and global behaviour of hypersurfaces moving by mean curvature; T. I1manen, on products of determinant bundles; M. 1ioyanov, Swfaces Riemonniennes The level-set flow on a manifold; J. Jost, Unstable solutions of two-dimensional d singularitls simples; S. T. Yau and F. Zheng, Remarks on certllin · geometric variotional problems; J. Jost and S. T. Yau, Harmonic maps and higher-dimensional quasi-Fuchsian domains; S. Zucker,IJ'-cohomology: superrigidity; A. Kasue, Harmonic functions ofpolynomial growth on complete Banach spaces and homological methods on Riemannian manifolds; manifolds; N. Korevaar and R. Kusner, The structure of constant mean Part 3: Riemannian Geometry: curvature embeddings in Euclidean three space; z. Li, Uniformization of R. E. Greene, Some concepts and methods in Riemannian geometry; K. Abe spherical CR manifolds and the CR Yamobe problem; P. Li, The theory of and A. Haas, Isometric immersions of H" into If"+1; S. B. Alexander, L D. harmonic functions and its relation to geometry; Y. Y. Li and G. 'Dan, Harmonic Berg, and R. L. Bishop, The distance-geometry ofRiemannian manifolds With maps With_prescribed singularities; F. H. Lin, Some recent results on harmonic boundary; S. B. Alexander and R. J. Currier, Hyperswfaces and nonnegative

MARCH 1993, VOLUME 40, NUMBER 3 291 New Publlcations Offered by the AMS

curvature; S. J. Altschuler, Shortening space curves; M. T. Anderson, Degeneration of metrics with bounded curvature and applications to critical AMERICAN MATHEMATICAL SOCIETY metrics of Rie11UJ111Jian functionals; A. JlasJruQian. The geometry of totally geodesic hypersuifaces in "yperbolic manifolds; R. Brooks, P. Perry, and TRANSLATIONS-sERIES 2 P. Petersen V, Finiteness of diffeomorphism types of isospectral mailifolds; P. Buser, B. Colbois, and J. Dodziuk, Small eigenvalues of the Laplacian on negatively curved manifolds; R. D. Cauary, Geometrically tame hyperbolic 3-manifolds; L Chavel and E. A. Feldman, Isoperimetric constants and large Proceedings of the time heat diffusion in Riemannian manifolds; L Chavel and L. Karp, Large St. Petersburg time behavior of solutions of the heat equation; H. Chen, Manifolds with 2-nonnegative curvature operator; D. De'I'orck, H. Gluck, C. Gordon, and Mathematical Society, D. Webb, The geometry of isospectral deformations; L Dimitric, Quadric Volume I representation ofa submanifold and spectral geometry; H. Donnelly, Embedded 0. A. Ladyzhenskaya eigenvalues for asymptotically flat suifaces; P. Eberlein, U. Hamenstidt, and V. Schroeder, Manifolds of nonpositive curvature; F. T. Farrell and L. E. Jones, and A.M. Vershik, Editors Topological rigidity for compact nonpositively curved manifolds; K. Fukaya Volume 155 and T. YlllllllgUdd, Almost nonnegatively curved manifolds; P. Gbanaat, Local This is the inaugural volume of a new structure of framed manifolds; S. Gigena, Constant ajJine mean curvature book series published under the auspices hypersuifaces of decomposable type; P. B. GDkey, Heat equation asymptotics; of the St. Petersburg Mathematical R. E. Greene and H. Wu, Nonnegatively curved manifolds which are flat outside Society. The book contains contributions by some of the leading a compact set; D. Gromoll, Spoces of nonnegative curvature; K. Grove, Critical mathematicians in St. Petersburg. Ranging over a wide array of topics, point theory for distance functions; D. Gurarle, Spectral geometry in higher these papers testify to the diverse interests and productive mathematical ranks: closed geodesics and flat tori; C.-K. Han, Ellipticity of local isometric life of the St. Petersburg Mathematical Society. embeddings; J. Bass and P. Scott, Curve flows on suifaces and intersections of curves; N.Hhlgston, Curve shortening, equivariant Morse theory , and closed Contents geodesics on the 2-sphere; D. Kalish, Morse theory for geodesics; M. Kuranishi, A. L Barvinok and A. M. Versbik, Polynomial-time computable approximation On some metrics on $2 x $2; A. Liunfr, Curve-straightening; Z.·D. Liu, Ball offamilies of semialgebraic sets and combinatorial complexity; Yu. N. Bibikov, covering property and nonnegative Ricci curvature outside a compact set; Construction of invariant Tori of systems of differential equations with a C. M. Margerin, General conjugate Loci are not closed; Y. Otsu, Collapsing small parameter, L Baesler and L K. Daugavet, Approximation of nonlinear ofRiemannian manifolds and their excesses; P. Petersen V, Gromov-Hausdorff operators by Volterra polynomials; N. A. Vavilov, Subgroups of Chevalley convergence of metric spaces; E. A. Rub, Cartan connections; A. G. Setti, groups containing a maximal torus; V. Maz'ya and A. Solov'ev, On the Eigenvalue estimates for the Laplacian with lower order terms on a compact boundary integral equation of the Neumann problem in a domain with a peak; Rie11UJ111Jian manifold; J.-P. Sha and D. Yang, Positive Ricci curvature on A. V. Megretsldt and V. A. Yakubovieh, Singular stationary nonhomogeneous compact simply connected 4-manifolds; Z. Shen and G. Wei, Volume growth and linear-quadratic optimal control; S. A. Nazarov and B. A. Plamenevskil, finite topological type; K. Sbiohama, Recent developments in sphere theorems; The Neumann problem for selfadjoint elliptic systems in a domain with T. Sbioya, On the excess of open manifolds; U. Simon and C. P. WBDg, Local piecewise-smooth boundary; S. Yu. Pllyugin, Limit sets of domains in flows. completely theory of ajJine 2-spheres; R. J. Spatzier, Riemannian manifolds with 1991 Mathematics Subject Classification: 05A05, 22E40, 31A10, 31A35, integrable geodesic flows; Y. Suyama, Differentiable structure on spheres and 34A47, 41Al0, 47AS8, 47Cl5, 49115, 58Fl2, 65Y20; 20006, 35155, 58F2S curvature; Z. L Szabo, Spectral theory for operator families on Rie11UJ111Jian ISBN0-8218-7505-1, ISSN006S-9290 manifolds; P. Tondeur, Riemannian foliations and tautness; J. 'I)sk, Eigenvalue 223 pages (hardcover), March 1993 problems for manifolds with singularities; G. Walsc:hap, Some rigidity aspects of Individual member $59, List price $99, Institutional member $79 Riemannian ftbrations; J .• Y. Wu, Hausdorff convergence and sphere theorems; To order, please specify TRANS2/15SN R. J. Zimmer, Automorphism groups and fundamental groups of geometric manifolds. 1991 Mathematics Subject Classifications: 32Cxx, 53Axx, 53Bxx, 53Cxx, MEMOIRS OF THE AMS 58Gxx, 81Exx, 83Cxx 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, LC (Part 1) 92-32827; LC (Part 2) 92-32831; LC (Part 3) 92-34056, ISSN 0082-0717; 560 pages (Part 1); 655 pages (Part 2); 710 pages (Part 3) (hardcover), March 1993 ------Enright-Shelton Theory Set: Individual member $155, List price $259, Institutional member $207 M f:i\lr Generalized Principal Series Brian D. Boe and ...... BdllftD.Boe _,._ David H. Collingwood Volume 102, Number 486 This book investigates the • composition series of generalized principal series representations induced from a maximal cuspidal parabolic subgroup of a real re

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

modules. Connections with two different flag variety decompositions approach is based on a technique of Tadic and involves an analysis of are discussed. Jacquet modules. This is used to obtain a more general result on induced representations, which may be used to deal with the problem when the Contents inducing representation satisfies a regularity condition. The same basic Some Sp,.IR results; Inducing from holomorphic discrete series; The S0.(2, N) argument is also applied in a case-by-case fashion to nonregular cases. cases; The SU(p, q) case; The exceptional cases; Loewy length estimates; Appendix: Exceptional data. Contents Notation and preliminaries; The Heeke algebra approach; Irreducibility 1991 Mathemotics Subject Classification: 22E46, 22E47 of ISBN 0-8218-2547-X, LC 92-38215, ISSN 0065-9266 certain representations a Ia Tadic; Irreducibility criteria for degenerate principal 107 pages (softcover), March 1993 series in SR,(F), SP6(F), a Ia Tadic. Individual member $18, List price $30, Institutional member $24 1991 Mathematics Subject Classification: 22E50 To order, please specify MEM0/102/486N ISBN 0-8218-2549-6, LC 92-42412, ISSN 0065-9266 111 pages (softcover), March 1993 - Weak Type Estimates for Individual member $18, List price $30, Institutional member $24 MI:\J()]]\~ To order, please specify MEM0/102/488N Cesaro Sums of Jacobi ~ Polynomial Series ------MLI\1()11\~ Extension of Positive­ Weak 'l)'pe Estimates Sagun Chanillo and for Cooaro Sums Definite Distributions of Jacobi Polynomfal Series Benjamin Muckenhoupt - and Maximum Entropy eeq:tn~pt Volume 102, Number 487 Jean-Pierre Gabardo f> This work completely characterizes Volume 102, Number 489 · the behavior of Cesaro means of any order In this work, the maximum of the Jacobi polynomials. In particular, entropy method is used to solve the pointwise estimates are derived for the extension problem associated with a Cesaro mean kernel. Complete answers are given for the convergence almost everywhere of partial sums of Cesaro means of functions positive-definite function, or distribution, belonging to the critical LP spaces. This characterization is deduced defined on an interval of the real line. Garbardo computes explicitly the entropy maximizers corresponding to from weak type estimates for the maximal partial sum operator. The various logarithmic integrals depending on a complex parameter and methods used are fairly general and should apply to other series of special functions. investigates the relation to the problem of uniqueness of the extension. These results are based on a generalization, in both the discrete and Contents continuous cases, of Burg's maximum entropy theorem. An absolute value estimate for 3(1- y) ~ 2(1- x); A basic estimate for Contents· 3(1- y) ~ 2(1-x);A kernel estimatefor3(1- y) ~ 2(1-x)and -1 ~ (J ~ 0; The discrete case; Positive-definite distributions on an interval (-A,A); A reduction lemma; A kernel estimate for 3(1 - y) ~ 2(1 - x) and (J ~ -1; A The non-degenerate case; A closure problem in L~(lt); Entropy maximizing Cesaro kernel estimate fort ~ 8/2; A basic estimate for separated arguments; measures in.l.t(Q); Uniqueness of the extension. A reduction lemma for separated arguments; A kernel estimate for separated arguments; Cesaro kernel estimate for t ~ 8 - b; Cesaro kernel estimate for 8 1991 Mathemotics Subject Classification: 42A70, 42A82; 46F99 near t; Kernel estimotes; A weak type lemma; Lemmas for the upper critictil ISBN 0-8218-2551-8, LC 92-42413, ISSN 0065-9266 value; Proofs of theorems (1.1)-(1.3); Norm estimotesfor p not between the 94 pages (softcover), March 1993 critical values; A polynomial norm inequality; A lower bound for a norm of the Individual member $17, List price $29, Institutional member $23 To order, please specify MEM0/102/489N kernel; Some limitations of the basic result; Growth ofCesaro means. 1991 Mathematics Subject Classification: 33E, 40C, 41, 42A, 42C ISBN 0-8218-2548-8, LC 92-38214, ISSN 0065-9266 Mathematical Sciences 90 pages (softcover), March 1993 Mathematical Sciences Professional Directory Individual member $17, LiSt price $29, .Institutional member $23 Professional To order, please specify MEM0/102/487N Directory This annual directory provides a handy reference to various organizations - in the mathematical sciences community. M E\1( )II\~ Degenerate· Principal Listed in the directory are: officers ·

~ Series for Symplectic and committee members of over thirty Groups · professional mathematical organizations (terms of office and other pertinent Chris Jantzen information are also provided in some Volume 102, Number 488 cases); key mathematical sciences This paper is ooncerned with induced personnel of selected government agencies; academic departments f> representations for p-adic groups. in the mathematical sciences; mathematical units in nonacademic In particular, Jantzen examines the organizations; and alphabetic listings of colleges and universities. question of reducibility in the case where Current addresses, telephone numbers, and electronic addresses for the inducing subgroup is a maximal individuals are listed in the directory when provided. parabolic subgroup of SP2n(F) and the inducing representation 1991 Mathematics Subject Classification: 00 is one-dimensional. Two different approaches to this problem are ISBN 0-8218-0179-1, ISSN 0737-4356 used. The first, based on the work of Casselman and of Gustafson, 227 pages (softcover), March 1993 reduces the problem to the corresponding question about an associated List price $45, Institutional member $36 finite-dimensional representation of a certain Heeke algebra. The second To order, please specify PRODIR/93N

MARCH 1993, VOLUME 40, NUMBER 3 293 AMS Reports and Communications

Recent Appointments tion; continuing members are William Happening in Mathematics. Abikoff (1993), James H. Curry (1994), M. Susan Montgomery (ex officio) Committee members' terms of office William H. Jaco (ex officio), Brian was appointed to the Investment Com­ on standing committees expire on Markus (1994), and Diane Meuser mittee by then Chair of the Board of January 31 following the year given (1993); Trustees, Paul J. Sally. Continuing mem­ in parentheses following their names, Philip J. Hanlon (1995) to the Math­ bers of the committee are Franklin P. unless otherwise specified. ematical Reviews Editorial Committee; Peterson (ex officio), chair, T. Benny Professor Hanlon has also been ap­ Rushing (1994), and B. A. Taylor (ex The following committees have been pointed chair; the continuing members officio). discharged with thanks: Committee on of the committee are Wendell H. Flem­ M. Susan Montgomery was ap­ Applications of Mathematics, Cooper­ ing (1994), John L. Selfridge (1994), pointed chair of the special Committee ation with Latin American Mathemati­ and Hans F. Weinberger (1993); on Copyright Policy by Ex-President cians, Coordinating Committee for the Walter Gautschi (1995) and Lars Michael Artin. Continuing members of Doctoral Program in Mathematics, Com­ B. Wahlbin (1995) to the Mathemat­ the committee are Sheldon Axler, Samuel mittee to Study Relations with ·Soviet ics of Computation Editorial Commit­ M. Rankin III, and Jeremy Soldevilla. Mathematicians, Committee to Select tee; Professor Gautschi has also been Jerrold E. Marsden (1995) was ap­ the Winner of the Cole Prize, and the appointed chair; the continuing mem­ pointed by Ex-President Michael Artin AMS-LMS Joint Program Committee. bers of the committee are Andrew M. to the Program Committee for National Bhama Srinivasan (1994) was ap­ Odlyzko (1994) and Frank W. J. Olver Meetings and Nancy K. Stanton (1993) pointed chair of the Editorial Boards (1993); was appointed chair. Continuing mem­ Committee by Ex-President Michael Clifford J. Earle, Jr. (1996) to the bers of the committee are Hermann Artin. Continuing members of the com­ Proceedings Editorial Committee; con­ Flaschka (1994), Robert M. Fossum (ex mittee are Bryan J. Birch (1995), Fan R. tinuing members of the committee are officio), H. W. Lenstra (1994), Dusa K. Chung (1995), Richard James Mil­ Andrew M. Bruckner (1993), Theodore McDuff (1993), and Mary F. Wheeler gram (1993), Nolan R. Wallach (1993), W. Gamelin (1994), James G. Glimm (1994). and Robert J. Zimmer (1994). (1995), Jeffry Kahn (1993), Barbara Stefan Burr (1995) and Lisl No­ Ex-President Michael Artin ap­ Lee Keyfitz (1995), Irwin Kra (1994), vak Gaal (1995) were reappointed, and pointed Carol S. Wood (1994) chair chair, Peter W. K. Li (1994), M. Su­ Ingrid Daubechies (1995) and Robert of the Nominating Committee. Contin­ san Montgomery (1995), Charles Pugh L. Devaney (1995) were appointed to uing members of the committee are (1994), Ronald M. Solomon (1994), and the Short Course Subcommittee by Ex­ Michael Aschbacher (1993), Daniel M. Franklin Tall (1993). President Michael Artin. James J. Tat­ Burns, Jr. (1994), Jerome A. Goldstein Upon recommendation of the Nom­ tersall (1993) was appointed chair. Con­ (1995), Vaughan F. R. Jones (1995), inating Committee, the Council has tinuing members of the committee are Jerry L. Kazdan (1993), Joseph Lipman elected Sheldon Axler (1996), Susan J. Jeffrey C. Lagarias (1994) and Patrick (1994), Walter David Neumann (1993), Friedlander (1996), and Carl R. Riehm D. McCray (1994). and Nancy K. Stanton (1995). (1996) to the Notices Editorial Com­ Ex-President Michael Artin ap­ The following individuals have been mittee. The continuing members of the pointed Christel Rotthaus (1994) and elected by the Council upon recommen­ committee are John S. Bradley (ex of­ Karl Rubin (1994) to the Central Section dation of the Editorial Boards Commit­ ficio), Amassa C. Fauntleroy (1994), Program Committee. Rodrigo Banuelos tee: Robert M. Fossum (ex officio), chair, (1993) was appointed chair. Continu­ RichardS. Palais (1995) to the Bul­ Carolyn S. Gordon (1994), and Ridg­ ing members of the committee are Julia letin Editorial Committee; continuing way Scott (1994). Knight (1993) and Andy Roy Magid (ex members are Murray H. Protter (1994), Fan R. K. Chung, Avner Friedman, officio). chair, and FrankS. Quinn (1993); James G. Glimm, Benedict H. Gross, Birgit Speh (1994 was appointed Efraim P. Aimendariz (1995) and David Siegmund, and William Thurston by Ex-President Michael Artin to the Judy Green (1995) to the Committee were appointed by Ex-President Michael Eastern Section Program Committee. to Monitor Problems in Communica- Artin to the Advisory Board for What's Gregg J. Zuckerman (1993) was ap-

294 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY AMS Reports and Communications pointed chair. Other members of the was reappointed to the Committee on William James Lewis, Donald E. Mc­ committee are Roy Adler (1993) and Human Rights of Mathematicians by Clure, Alan Newell, Alan C. Tucker, and Lesley M. Sibner (ex officio). Ex-President Michael Artin. Continu­ David A. Vogan, Jr. to the Committee on Steven L. Batterson (1994) and Mat­ ing members of the committee are Resource Needs for Excellence in Math­ thew Miller (1994) were appointed to Raymundo Bautista (1994), Sufian Y. ematics Instruction. Professor Haas will the Southeastern Section Program Com­ Husseini (1994), Wen-Ching Wmnie Li serve as chair. mittee by Ex-President Michael Artin. (1993), Alice T. Schafer (1993), chair, Harvey B. Keynes (1997) was ap­ Donald St. P. Richards (1993) was ap­ JonathanM. Wah1(1994), andHung-Hsi pointed to the Committee to Select the pointed chair. Continuing members of Wu (1993). Winner of the Award for Public Service the committee are Robert J. Daverman Joseph P. Brennan (1995) was ap­ by Ex-President Michael Artin. Con­ (ex officio) and Jean Larson (1993). pointed to the Pi Mu Epsilon Liai­ tinuing members of the committee are Josefina Alvarez (1994) and Ruth son Committee by Ex-President Michael William Browder (1995), chair, Kenneth J. Williams (1994) were appointed to Artin. Other members of the committee M. Hoffman (1996), John C. Polking the Western Section Program Committee are David W. Ballew (1993), Mary B. (1994), and David P. Roselle (1993). by Ex-President Michael Artin. Robert Martin (1994), Bruce Reznick (1993), Cathleen S. Morawetz (1994) was R. Phelps (1993) was appointed chair.. and De Witt Sumners (1994). appointed by Ex-PresidentMichael Artin Continuing members of the committee Simon Hellerstein (1995) was ap­ to the Committee to Select the Winner are F. Michael Christ (1993) and Lance pointed by Ex-President Michael Artin of the Satter Prize for 1993. Contin­ W. Small (ex officio). to the Committee on Professional Ethics. uing members of the committee are Ex-President Michael Artin ap­ Donald J. Lewis (1994) was appointed Dusa McDuff (1993), chair, and Alan D. pointed Carl C. Cowen (1994) andRe­ chair. Continuing members of the com­ Weinstein (1993). becca A. Herb (1994) to the Committee mittee are Leonard D. Berkovitz (1993), M. Beth Ruskai · (1993) was ap­ on Agenda for Business Meetings. The Albert Marden (1994), and Judith Roit­ pointed chair of the Liaison Commit­ continuing member of the committee is man (1993). tee with AAAS by Ex-President Michael Robert M. Fossum (ex officio), chair. Richard Ewing (1995), Raymond L. Artin. Continuing members of the com­ Michael G. Crandall (1995) was ap­ Johnson (1994), John W. Morgan (1995), mittee are Efraim P. Armendariz (ex pointed by Ex-President Michael Artin and Melvyn Nathanson (1995) were ap­ officio), Ronald L. Graham (ex offi­ to the Committee on Progress in Math­ pointed to the Committee on Science cio), Deborah Tepper Haimo (ex offi­ ematics. Haynes R. Miller (1993) was Policy by Ex-President Michael Artin. cio), Alfred W. Hales (1993), Raymond appointed chair. Continuing members of Other members of the committee are L. Johnson (ex officio), Philip C. Kutzko the committee are John B. Friedlander Michael Artin (ex officio), James A. (1993), Warren Page (ex officio), Louise (1994), Peter W. K. Li (1993), and James Donaldson (1993), Eric M. Friedlander A. Raphael (1993), V. Frederick Rickey B. Serrin (1994). (1994), Ramesh A. Gangolli (ex offi­ (ex officio), Chih-Han Sah (ex officio), Murray Gerstenhaber (1995), Si­ cio), Ronald L. Graham (ex officio), Alice T. Schafer (ex officio), and Melvin mon Hellerstein (1995), and Rhonda Rhonda J. Hughes (1993), William H. Thornton (ex officio). J. Hughes (1995) were appointed to Jaco (ex officio), Linda Keen (1993), Joaquin Bustoz (1995), Leon A. the Committee on Academic Freedom, Donald L. Kreider (ex officio), William Henkin (1995), and James C. Turner Tenure, and Employment Security by James Lewis (1994), Linda Preiss Roth­ (1995) were appointed, and Gloria F. Ex-President Michael Artin. Josefina schild (1994), and Frank W. Warner m Gilmer (1995) was reappointed and as Alvarez (1993) was appointed chair. (1993), chair. chair to the joint AMS-AAAS-MAA Continuing members of the committee Hyman Bass, John S. Bradley (ex Committee on Opportunities in Mathe­ are Leon Brown (1994) and Lawrence officio), Arthur M. Jaffe, Linda Keen, matics for Underrepresented Minorities E. Morris (1993). John W. Morgan, John C. Polking, Frank by Ex-President Michael Artin. Con­ Jerry L. Bona (1995), Deborah W. Warner ill, Margaret H. Wright, and tinuing members of the committee are Hughes Hallett (1995), Judith Roitman Robert J. Zimmer were appointed by Ex­ Shirley Malcom (ex officio) and Argelia (1995), and Alan H. Schoenfeld (1995) President Michael Artin to the Federal Velez-Rodriguez, consultant. were appointed, and Harvey B. Keynes Policy Agenda Subcommittee. Professor M. Beth Ruskai (AMS, 1995) was (1995) was reappointed by Ex-President Warner will serve as chair. reappointed, and Berit Stensones (AMS, Michael Artin to the Committee on Edu­ Chandler Davis, Lee D. Mosher, 1995) and Ttlla Weinstein (AMS, 1995) cation. Continuing members of the com­ and Frank S. Quinn were appointed were appointed by Ex-President Michael mittee are Ramesh A. Gangolli (1994), by Ex-President Michael Artin to the Artin to the joint AMS-ASA-AWM­ chair, Ronald L. Graham (ex officio), special Committee on Ethical Conduct. IMS-MAA-NCTM-SIAM Committee on William H. Jaco (ex officio), Alan C. Professor Davis will serve as chair. Women in the Mathematical Sciences. Tucker (1993), and Frank W. Warner ill Ex-President Michael Artin ap­ Professor Ruskai was also appointed (ex officio). pointed Richard W. Beals, John B. Gar­ chair. Continuing members of the com­ Murray H. Protter (1995) was ap­ nett, Felix Haas, Raymond L. Johnson, mittee are Lynne Billard (IMS, 1994), pointed, and Cora S. Sadosky (1995) Barbara Lee Keyfitz, Joan P. Leitzel, Lynne Butler (SIAM, 1995), Kathryn

MARCH 1993, VOLUME 40, NUMBER 3 295 AMS Reports and Communications

M. Chaloner (ASA, 1995), Margaret B. Michael Artin to the joint AMS-IMS­ co-chairs. William H. Jaco, Kenneth A. Cozzens (SIAM, 1995), Susan Groshen MAAData Committee. Continuing mem­ Ross, Lance W. Small, and Marcia P. (IMS, 1995), Joan Hutchinson (AWM, bers of the committee are Edward A. Sward will serve ex officio. 1994), Patricia C. Kenschaft (MAA, Connors _(AMS, 1993), Lincoln K. Durst, James W. Demmel (1995) and Tai­ 1994), Don J. Lewis (MAA, 1994), J. consultant,JohnD.Fulton(MAA, 1994), Ping Liu (1995) were appointed to the Peter May (AMS, 1994), Anita McDon­ James F. Hurley (AMS, 1994), Don 0. joint AMS-SIAM Committee on Applied ald (MAA, 1994), Joyce R. McLaugh­ Loftsgaarden (MAA, 1993), David J. Mathematics by Ex-President Michael lin (SIAM, 1993), Frances Rosamond Lutzer (MAA, 1993), James W. Maxwell Artin (AMS) and Past President Robert (MAA, 1992), Evelyn Silvia (AWM, (ex officio), Donald E. McClure (AMS, E. O'Malley (SIAM). Continuing mem­ 1993), Sandra Stinnett (ASA, 1994), 1993), and Donald B. Rubin (IMS, bers of the committee are Marsha J. and Patricia S. Wilson (NCTM, 1993). 1993). Berger (1994), Paul C. Fife (1994), James D. Stasheff (AMS, 1995) was Ex-President Michael Artin ap­ James M. Hyman (1993), chair, and appointed and as chair to the joint AMS­ pointed Suzanne Lenhart (AMS, 1995) Michael Shub (1993). ASL-IMS-SIAM Committee on Trans­ to the joint AMS-MAA Committee on Past President Robert E. O'Malley, lations from Russian and Other Slavic Teaching Assistants and Part-Time In­ Jr. (SIAM) and Ex-President Michael Languages by Ex-President Michael structors (TA/PTI). Continuing members Artin (AMS) appointed Constantine M. Artin. Continuing members of the AMS of the committee are Reuben C. Drake Dafermos, Bjorn Engquist, and An­ subcommittee are V. I. Arnol' d, con­ (MAA, 1994), Deborah Hughes Hal­ drew Chi-Chih Yao to the AMS-SIAM sultant, Luchezar Avramov (1994), Igor lett (AMS, 1993), Timothy L. Lance Committee to Select the Winner of the Dolgachev (1994), S. G. Gindikin, con­ (AMS, 1994), Daniel J. Madden (AMS, Birkhoff Prize for 1993. Professor En­ sultant, Askol' d Georgievic Khovanskll, 1994), Shelba J. Morman (MAA, 1995), gquist will serve as chair. consultant, Arunas Liulevicius (1993), Stephen B. Rodi (MAA, 1994), and Leah Edelstein-Keshet (1994), Mich­ N. K. Nikol'skii, consultant, and Washek Raymond 0. Wells (MAA, 1995). ael S. Waterman (1995), and Carla Pfeffer (1993). The ASL subcommit­ David Boyd, Afton H. Cayford, Wofsy (1995) were appointed by Ex­ tee members are George Boolos (1995), Alan Cooper, Katherine Heinrich, David President Michael Artin (AMS), Past Vladimir Lifschitz (1993), Grigori Mints Leeming, Dale Rolfson, and Denis Sjerve President Robert E. O'Malley (SIAM), (1993), and Boris I. Zil'ber (1994). The were appointed to the joint AMS-CMS­ and President Alan Perelson (SMB) to IMS subcommittee members are M. I. MAA Arrangements Committee for the joint AMS-SIAM-SMB Committee Freidlin, chair, B. Pittel, A. Rukhin, and the Vancouver Meeting by Past Presi­ on Mathematics in the Life Sciences. W. J. Studden. dents Deborah T. Haimo (MAA) and Other members of the committee are Donald C. Rung (AMS, 1995) was S.D. Riemenschneider (CMS), and Ex­ James W. Curran (1993) and Eric S. reappointed, and Ann K. Stehney (AMS, President Michael Artin (AMS). Profes­ Lander (1993). 1995) was appointed by Ex-President sors Cayford and Sjerve were appointed

CONTEMPORARY MATHEMATICS

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

ORDINARY MEMBERS Alfred James Robert Sneyd, Univ of Nina L Sharp Florida /nst of Tech Sun Shin Ahn, Seoul, Korea California Los Angeles Mary H Stephens DeAnn CBohm Gianni Arioli, Milan, Italy Gregory I Spivakovsky, Stevens McCarty Woods Lalitha Rangarajan Janusz Marlborough, MA Badur, Polish Academy of Bawling Green State University Yunfeng Ym Sciences, Gdansk, Poland John Thornton, Monterey, CA Jatyana Gorchakova Grad School & University Piotr Bajorski, Univ of British James D Tolliver, Los Angeles, CA Center, Columbia, Vancouver, Canada Eberhard Zeidler, Univ of Leipzig, Bucknell University CUNY Martin Bendersky, Hunter College Germany Karen Davis Reigle Daniella Bak Gary A Greenfield (CUNY), New York City College (CUNY) Valery B Bogorad, San Ramon, CA Chris McCarthy Leslie M Bobb Paul J Bowron, La Jolla, CA Artur Piotr Sowa Amaro J R Da Silva, Institute RECIPROCITY MEMBERS Jun Chen Grinnell College Superiore Technology, Lisbon, Claremont Graduate School Deutsche Mathematiker-Vereinigung Kristopher R Tapp Portugal e. V. Giray Okten Karen M Daniels, Belmont, MA Hofstra University Rainer Bruck Rachel E Solarczyk-Patrick Benoit Desjardins, Monroeville, PA James Paul Mancuso Martin Epkenhans College of Charleston Jerzy R Dominczak, Providence, RI Donald John Rumignani Hermann Render Kevin George Haborak Samuel Dubois, Smyrna, GA Ira Harwyn Somach Rimantas Eidukevicius, Vilnius State London Mathematical Society Rozalyn Schieble Humboldt State University Univ, Rep of Lithuania David J Green Colorado State University Elizabeth A Coleman Charles Hartford, D C Heath & Mathematical Society of Japan Mark R Manning Company, Lexington, MA Indiana State University Yun-Gang Chen Andrew C Humphrey, Cambridge, Concordia University Noriya Kadota ShuChuan Chiang MA Layla Le Normand Toshiyuki Namba Alexis R Diaz Jerry R Kissick, Long Beach, CA Cornell University J Patrice Dreher Herbert Koch, Northwestern Univ, Norsk Matematisk Foreningros Carlos A Sin Ron Paul Humpolick Evanston, IL Stein A Stromme David Reed Solomon Bong H Lian, Univ of Toronto, Ke-Ching Karin Liu Ontario Canada Yongjian Xiang Ke-Jien Katy Liu Ina Lindemann, Springer-Verlag New Wei Yuan Jyotsna Vasant Mainkar York, NY NOMINEE MEMBERS Dalhousie University Wen Zhao Peter Litvanyi, Fairbanks, AK American University Alka Chopra /nst for Advanced Study David F McEivogue, Tucson, AZ AiLi Walter Bruno Gubler Chantal Menini, Toulouse, France Robert H Baran Hartrnut Maennel Yuri V Mikhlin, Dneprodzerzhinsk, Katia France Foret Dartmouth College Rep of Ukraine Jonathan Lev Kurlander Benjamin Jacob Tilly Vladimiz Voevodsky Lara S Minock, Ann Arbor, MI Makoko Motlamedi Shatera Drexel University Kent State University, Kent Benoit F Morel, Carnegie Mellon Muhammad I Siddique Kristin Elizabeth Allen Andrey Petukhov Univ, Pittsburgh, PA Erika L Solberg Marta Anna Blotuy Lamar University Tod J Peterson, The Haag, Albert M Tou Salvatore Michael Savino Susan G Hutchison Netherlands Peggy L Winfield Debra Ann Polignone, Univ of Ann Marie Veca Loyola Marymount University Arkansas State University Vrrginia, Charlottesville Duke University Melissa Jane Bowers Jason D Holland llya I Polyak, Texas A&M Univ, Paul R Taylor Maca/ester College College Station Auburn University Emory University Aaron Hutchin Schlafiy William R Raser, Lawrenceville, GA Neal Audet Adam J Ferrari McMaster University David E Rumelhart, Stanford, CA Susan Serrano Binker Edward Wayne Goddard Mark Stanley Bryant Sriprakash Partha Sarathy, Syracuse, MarkS Cox NY Yigong Liu Albert Arthur Gordon Miami University, Oxford Baruch Shnaider, Bar-llan Univ, John C Nardo Christopher Morgan Holt Colleen Ann Fyfe Ramat Gan, Israel Michael Glenn Solomon Kathryn Anne Langham Robert A Rastetter Peter Sin, Univ of Florida, Benjamin David Ternko Gainesville Zhenxu Ma Joni C Schnitzler Lubos Thoma R Skalak, Univ of California San Ken William Maudsley Kerry D Smith Diego, La Jolla David Angus Pike Victoria Vysotina John A Terilla

MARCH 1993, VOLUME 40, NUMBER 3 297 New Members of the AMS

Montana State University Providence College Nicolas N M N Roselli Robert A Prussak Steven Alfred Fladhammer Anne M Anguish Clifford D Smyth Eunjai Rhee Naval Postgradoote School Maggie E Barszcz Chih-Huei Wendy Wang Kerry Ritter Gary William Krahn Catherine C Ciotola Texas A & M University Michael Sato Bruce T Robinson Michael Gerard Gimtnarco Michael Andrew Mathews Darren Semmen Michael Sean Kirby Koichi Yamaguchi North Carolina State University Trenton State College Mary Margaret Slazas Shelton Juan Chesson Jr Thomas G Corley University of California, Los Angeles John Patrick Sullivan Baishali Guha Debra A Gardner Wilson Louie Sarah Katherine Thiery Maria L Hernandez Jane T Lamberty Vladimir Masek Purdue University Michael Allen Jeffris Husam Mazahreh Sarah A Reznikoff Elham Ghashghai Semion Davidovich Shteingold Archimedes J Kyrillidis Gian Picco Kathryn Marie Lewis Paul Rado Slavich Tianjiao Liu Aditya Roy Kinichi Takekawa David Todd Miller Queen's University Mark W Stewart Frederick Douglas Ryan Rekha Agrawah Chamont Wang University of Chicago Somasundaram Velummylvm Andrew G Day Jennifer S Wilkinson Alan Jaffray Naser Bashir Elkum Daniel Edward Wessell Trinity University University of Colorado, Boulder Yasuhiro Goto Yue Zhang Rebecca Nha Hai Arnie Elcan Jennifer Leslie Heymans William Conrad Thill Karen D Janda Northeastern Illinois University Paul J Hubbard University of Alabama-Birmingham University of Georgia Manouchehr Azad Richard Alan Lodge Alan Davis Gary Duane Bender Kenneth A Krzywicki Andrew L McKellips Eddie Easterling Donald John Bindner Northeastern University Roman Smimov WeiHu Michael Alan Brewer Joan M Campbell Ondrej Such Ida K Jones Randy Dean XiDu Alexander A Toutov Brett Stiefel Nicolae Gonciulea Hongfan Yu Melissa Beth Hanzsek S Greg Stocks Wenjie He Queens College, CUNY Oakland University Huaikuan Sun Sasa Kresic-Juric Charlotte E Fischer Jacqueline Florence Hassett University of Alberta Kelle Lynn Langham Robert Romer Jacquelyn Marie Marr Petr Hajek Shuguang Li Valerie Mia Wolf Michael R Rozdilski Roberta La Haye Jianxiang Liu Jennifer Lynn Sobczynski Rensselaer Polytechnic lnst Wee-Kee Tang Sridar Kuttan Pootheri Oberlin College Billy Gene Tollison Pheng Kim Ving Johnny Preyer Jr Susan Judith Patterson Rice University University of Arizona Pamela A Rhoadhouse Ohio State University, Columbus Chang you Wang Juengen Peter Aldinger Behnaz Rouhani Damon Todd Buckwater SUNY at Buffalo Kevin Roger Anderson Stephanie Menee Smith Alexander Gorokhovsky Yigong Ni Martin Zdenek Bazant Annicia Jamelia Thomas Alexander Shor SUNY, College at Potsdam Richard Anthony Brazier Patrice Yvonne Thrash Anne Shor Monica Lee Gabriel Reva Rani Chopra Jason Yeager Whitt Jonathan D Stadler Charles Joseph Judge Laura B Dinitz Jianhua Yuan. Christine V Sylanov San Jose State University Quanyuan Feng University of Hawaii Matthew T Szekely Elizabeth Shore Milanovich Brandon Dominic Gallas Oliver Davis King Hoseog Yu Derek Mitchem Gonzalez Rodrigo Gonzalez University of Houston Pennsylvania State University, Jeffrey Peter O'Connel Alain I Goriely John Patrick Burke University Park Jeanne Marie Powell Fred Allan Griffin University of Illinois at Karl Paul Haller Peggy J Beck Karl Edward Yorston · Urbana-Champaign Anupama M N Rao Mihai Caragiu Santa Clara University Louis J D' Andria Howard F Hall Eleanor Ann Barbara University of California, Davis Kevin Martin Leuthold Michael P Challender Takayuki Hasegawa Michelle Lynn Brooks University of Louisville Michael George Contos LiHe Paul Oscar Lampe Carrye Yvette Wilkins Jennifer Erin Dance Shui-Kwang Hwang Nicole M Mayer University of Maryland, College Park Mduduzi Keswa Alex S Frentz Seton Hall University Alessandra Gallinari Don-May Lee Eric E Schadt Muzaffar Ali Rahmani Pallabi Guha Roy Mauricio Mata University of California, Irvine Southwest Missouri State University Po-hsun Hsieh Ling Shen Paul Bailey Michael David Shepard Amanda J Lubell Quan Shen Andrey Belenkiy Chun-Gil Park Stanford University Barbara Brennan Andrew Victor Sills Annegret Paul Christopher Eric Hoffman Joan Buenconsejo Longji Tang Par Martin Kurlberg Felix C G Santos Jui-Fang Tsai Jenny Chang George Tzav~las Stephen F Austin State University Jerry Chow Hang Xu Weichung Wang Jerry Woodward Jennifer Hahn Oleg Zabluda Tonghai Yang Stevens lnst of Tech Susan B Hughes Polytechnic University Mark Farag Arthur Ying-Wei Lee University of Massachusetts at Lowell Jean W Richard David Barry Kagan Gordon K Moore Guy T Moore Jr Princeton University Lawerence William Kazmierczak Mark Norman University of Massachusetts, Amherst Alex Eskin Linda Ellen McGuire Daniel Pick Donna Marie Bedinelli

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

William Arthur Birchenough Lisa LaVon Sitton Hirsch Adam David Kessler Andres Villaveces PhilipS Blau Scott Kirk Imig Lee Anna Loehr Jaechil You Todd David Blessinger University of Puerto Rico, Mayaguez Pariwatana Pacheenburawana University of lifyoming Adam Ray Eisner Paul E Castillo Hui Pan Richard Bell Yaniris M Fernandez Carmen Diaz-Torres Hsueh-ru Tsai Bryan Bornholdt Joseph Lawrence Heisler Velez Gomes Esperanza David Willis Tyrrell Clark Brown Sonja Theresa Kinzlmaier Astrid del C Guardisle Darrin Bernardo Visarraga Paul Johnson Catherine McCune Martin Eduardo Sanchez Chris Mark Wilkowski Greg Kissel Mark David Pietras Hsien-Chung Wu University of Puerto Rico, Rio Lisa Lister Richard William Tabor Piedras Nathan Howard Zook Pete Morris Katsuhisa Takurni Julio E Berra Perez University of Texas-Pan American Pauli Peter University of Missouri-Rolla Anabel Lopez Roberto Morales Rich Raposa Katherine Marie Adams Javier Rodriguez University of Tulsa Saib Suwilo Daniel T Collins Juan F Rodriguez Vazquez William Marden Klindera Garnini Wickramage Shawn David Edwards VIrgen E Serrano Andrew Stuart Lang Utah State University Glenn Russell Aetcher VIctor Manuel Vega Igor Marusic Jordan Eric Cahn Douglas James Haas University of South Alabama University of Vermont Chi Keung Choi Yan Liu Elliot Tremaine Pimped Nancy A Haad Polly Dee Christiansen Leslie Newton McAdoo University of South Carolina University of Waterloo Rocky M Keele David James Ryden B A Kelly David McPetrie Walker Gretchen Gengenbach Moisen Jeffrey Allen Stevenson Zsolt Lengvarszky Nancy Roberts David Bruce Vlieger University ofWisc, Stevens Point Chunliang Pan Tan Zhang Andrea Lynn Vorwark Stephen P Johnson Washington & Lee University Adam Lee Wineinger University of Southern California University of Wisconsin, La Crosse Lauren Danielle Hartman Natasha Maria Chen Susan Elaine Kelly University of Missouri-St Louis Christopher Evans VInyard Harvey I Finkelstein University of Texas at Austin David N Mitchell Washington State University Robert J Anduiza Brenda Sue Neprud University of Montana Rafic Habib Fahs Martin Joel Battle Angela M Pearse James Robert Lowdennilk Lijian He Chinyoung Chang University of Wisconsin, Madison University of N C at Wilmington Jamie Russell Nordstrom Ta-Mou Chen Daniel Minor Redd Bettendorf Suzette Renee Shipley Scott Alan Wilde Yu-Heng Fu Oliver D Eng University of New Brunswick Jane Antoinette Wilson Klavs Gerdes Yuko Fukatsu Daniel Paradis Sherry L Graves Joseph R King West Chester University of Pa University of North Texas Vu Xuan Ha Xinsong Li Marilyn C Reich Deborah Lynn Johnston JayneAnn Harder Darko Milinkovic Worcester Polytechnic lnst University of Oregon Roy Joseph Harris Jeffrey Mark Riedl Kimberly Ann Coombs Egidio Barrera-Yanez Dara Leigh Johnson Kristine Kay Stacy Kevin Michael King Elisabeth Naomi Boonin Teresinha Fumi Kawasaki Jeffrey A Strom Michael David Tocci Israe{ Matliematica{ Conference Proceedings Set rrfieory of tlie !Rga{s Haim Judah, Editor Volume 6 This book presents the proceedings of a Winter Institute on "Set Theory of the Reals", held at Bar-Han University in January 1991. Containing mostly survey papers, the book provides an excellent account of present knowledge in this area and an outline for future research. The book is accessible to graduate students in set theory, abstract analysis, topology, measure theory, model theory, and logic. This volume was published by Bar-Han University and is distributed by the AMS .

1991 Mathematics Subject Classification: 04; 03 ISSN 0792-4119, 654 pages (softcover), March 1993 Individual member $37, List price $61, Institutional member $49 To order, please specify IMCP/6NA

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.

MARCH 1993, VOLUME 40, NUMBER 3 Classified Advertisements

SUGGESTED USES for classified advertising are positions available, books or lecture notes for Send vita, copies of graduate transcripts sale, books being sought, exchange or rental of houses, and typing services. and at least three letters of reference to: THE 1993 RATE IS $65 per inch on a single column (one-inch minimum), calculated from the M. Scott, Chairperson, Department of Mathe­ top of the type; $35 for each additional Jb inch or fraction thereof. No discounts for multiple ads or matics, Western Illinois University, Macomb, IL the same ad in consecutive issues. For an additional $10 charge, announcements can be placed 61455. anonymously. Correspondence will be forwarded. . THE SELECTION PROCESS WILL BE­ Advertisements in the "Positions Available" classified section will be set with a minimum GIN MARCH 22, 1993. WIU IS AN EQUAL one-line headline consisting of the institution name above body copy, unless additional headline OPPORTUNITY/AFFIRMATIVE ACTION EM­ copy is specified 'by the advertiser. Advertisements in other sections of the classified pages will PLOYER. APPLICATIONS ARE ESPECIALLY be set according to the advertisement insertion. Headlines will be centered in boldface at no extra INVITED FROM MINORITIES, WOMEN, AND charge. Classified rates are calculated from top of type in headline to bottom of ~ in body copy, PERSONS WITH DISABILITIES. including lines and spaces within. Any fractional text will be charged at the next Jb 1nch rate. Ads will appear in the language in which they are submitted. . · Prepayment is required of individuals but not of institutions. There are no member d1scounts for classified ads. Dictation over the telephone will not be accepted for classified advertising. DEADLINES are listed on the inside front cover or may be obtained from the AMS Advertising KANSAS Department. U. S. LAWS PROHIBIT discrimination in employment on the basis of color, age, sex, race, UNIVERSITY OF KANSAS religion or national origin. "Positions Available" a~ertisements from institutio~s o.uts.ide the U. S. Assistant Professor PosHion cannot be published unless they are accompanied by a statement that the 1nst1~ut1on does ~ot Theoretical and Computational Science discriminate on these grounds whether or not it is subject to U. S. laws. Details and specific wording may be found near the Classified Advertisements in the January and July/August 1ssues The Kansas Institute for Theoretical and Com­ of the Notices. putational Science, through the departments of SITUATIONS WANTED ADVERTISEMENTS from involuntarily unemployed mathematicians Chemistry, Mathematics, and Physics and As­ are accepted under certain conditions for free publication. Call toll-free 800-321-4AMS (321-4267) tronomy at the University of Kansas, is seeking in the U.S. and Canada for further information. candidates for a tenure-track junior faculty posi­ SEND AD AND CHECK TO: Advertising Department, AMS, P. 0. Box 6248, Providence, tion to begin Jan. 1, 1994. The person sought Rhode Island 02940. AMS location for express delivery packages is 201 Charles Street, for this position will be active in the field of theo­ Providence, Rhode Island 02904. Individuals are requested to pay in advance, institutions are not retical and/or computational science, preferably required to do so. AMS FAX 401-455-4004. with a proven research record in some aspect of nonlinear sciences. Relevant research prob­ lems under study by Institute faculty members are classical and quantum chaos, nonlinear cational center, invites applications for one or partial differential equations and their geo­ possibly two anticipated tenure-track positions CALIFORNIA metrical visualization; atomic, molecular, and with rank open, and an anticipated one-year particle astrophysics; modeling of systems in UNIVERSITY OF CALIFORNIA instructor position beginning August 1993. Ap­ atmospheric science; frontier problems in scien­ plicants for tenure-track positions should have Department of Mathematics . tifiC computing; atomic, molecular, and optical Riverside, C&IHornla a doctorate, or equivalent experience, or will physics. Scientists with a Ph.D., in fields related complete Ph.D. requirements by August 1993. to any of the above topics in theoretical and Applications are invited for one or more Vis­ We seek applicants with a strong commitmenl computational chemistry or physics, in mathe­ iting Assistant Professor positions beginning to teaching and excellent research accomplish­ matics, and computational science in general, September 1993, which are anticipated, subject ments/potential. The instructor position requires are encouraged to apply. . to availability of resources and administrative a Master's degree. Industrial or consulting ex­ Applicants should submit a statement of pro­ perience is desirable. Salary is competitive approval. Applicants must show strong promise fessional interest and a curriculum vitae (includ­ and based on qualifications and experience. in research and teaching. The positions are ing a list of publications). The applicant should open to applicants from all research areas in Send applications including CV, transcript, 3 arrange for at least three letters of recommen­ letters of reference (at least one of the letters mathematics, but preference will be given to dation to be sent to Professor D. McKay, Kansas areas compatible with current research interests should address candidate's teaching ability) to Institute for Theoretical and Computational Sci­ of the faculty. The teaching load is six quar­ Search Committee, Department of Mathematics ence, clo Department of M~thematics, 405 ter courses per year. Candidates should have & Statistics, SlUE, Edwardsville, 1162026-1653. Snow Hall, The University of Kansas, Lawrence, Closing date for applications is April 1, 1993 or received a Ph.D. degree by September 1993. KS 66045, 913-864-4626, FAX: 913-864-5262, until positions are filled. Women/minorities are Applicants should send their curriculum [email protected]. The Search vitae, including their publication list, and urged to apply. AAIEOE. Committee will begin its evaluations on April have at leaat three letters of recommendation 1, 1993. Later Applications will be considered, sent to however, until the position is filled. Temporary Faculty Search Committee The successful candidate is expected to es­ Attn: Julie Martin, Admin. Asst. WESTERN ILLINOIS UNIVERSITY tablish a vigorous interdisciplinary research pro­ Department of Mathematics gram. The appointment will be jointly between University of California, Riverside Department of Mathematics two of the three participating department&­ Riverside, CA 92521-0135 The Department of Mathematics invites appli­ chemistry, mathematics, and physics and as­ by Friday, Aprll16,1993. UCR is an Affirmative cations for two tenure-track positions at the tronomy. Research, teaching, and other aca­ Action/Equal Opportunity Employer. Assistant Professor level beginning Fall 1993 demic responsibilities will be shared between subject to funding. Position 1-Mathematics the participating departments. The salary will Education (elementary or middle school ex­ be commensurate with qualifications and expe­ perience preferred). Position 2-Mathematics rience. ILLINOIS Education (secondary school experience) pre­ The University of Kansas is committed to ferred/will consider Applied and Computational increasing the ethnic and gender diversity of its SOUTHERN ILLINOIS UNIVERSITY Mathematics. Doctorate is required. Successful · faculty, and we strongly encourage female and Edwardsville, IL candidates must demonstrate superior teaching minority individuals to apply. The University of and participate in research and service activi­ Kansas is an AAIEEO employer. SlUE, a state University, 20 miles from down­ ties. The department offers both the Bachelors town St. Louis, MO, a major cultural and edu- and Masters degrees in mathematics.

300 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY ------~---~·Classified Advertisements

UNIVERSITY OF KANSAS Please send a vita, and have three letters of depend on experience and qualifications. Pos­ Kansas Institute for Theoretical & recommendation sent to Dr. Gail Ratcliff, Depart­ sible Postdoc positions available. Ph.D. and research Computational Science ment of Mathematics and Computer Science, serious commitment to teaching and University of Missouri-St. Louis, St. Louis, MO required for all positions. The applicant should Openings expected for Postdoctoral Researchers 63121-4499. E-mail inquiries should be sent to send vitae and a short abstract of current in frontier areas of theoretical and computational [email protected]. Review of applications research interest; and should indicate which po­ science: atomic, molecular, and optical physics; will begin on March 31, 1993. Applications will sition and at what rank for which she/he wishes nonlinear dynamics and chaos; atmospheric be considered until the position is filled. The Uni­ to be considered. Address to Professor R. F. science; nonlinear PDEs and their geometric versity of Missouri is an Affirmative Action/Equal Anderson at the above address. The applicant visualization; particle astrophysics; and frontier Opportunity Employer. should also arrange for 4 letters of reference, problems in scientific computing. Candidates addressed to Professor Anderson. For full con­ with Ph.D. degree in theoretical and compu­ sideration, applications should be submitted by tational chemistry or physics, mathematics, or January 15, 1993; otherwise, applications will computational science in general are encour­ NEW MEXICO be accepted until positions are filled. aged to apply. Candidates should submit an UNCC IS AN AFFIRMATIVE ACTION/EQUAL application letter, vita, list of publications, tran­ THE COLLEGE OF SANTA FE OPPORTUNITY EMPLOYER. scripts, reprints of relevant publications, and Department of Math and Sciences arrange to have three letters of reference sent to: Rodney Carr, PA9309, University of Kansas The College of Santa Fe, a private four year liberal arts institution, is now accepting resumes Center for Research, Inc., 2291 Irving Hill Road, OHIO Lawrence, KS 66045-2969. EEO/AA. for an Assistant or Associate Professor of Mathematics, tenure track, to begin in mid­ BOWLING GREEN STATE UNIVERSITY August 1993. The successful candidate will be a superior teacher with interest and ability Department of Mathematics in teaching all Mathematics courses at the and Statistics MISSISSIPPI undergraduate level. The department anticipates a position in (Ap­ Requirements: Qualified candidates will pos­ plied Analysis/Computational Mathematics) and/ THE UNIVERSITY OF MISSISSIPPI sess a Ph.D. in Mathematics and demonstrated or (Group Theory or Combinatorics). We have Department of Mathematics experience in teaching at the college level. 33 faculty, 65 full-time graduate students, and a University, Mississippi 386n Additional experience with teaching Computer growing doctoral program (15 Ph.D.'s awarded Science courses is preferable. A commitment in the last three years). The selected candidate, Applications are invited for one-and possibly to involving students in professional activities who must have a Ph.D. in Mathematics, will be two-tenure track positions beginning Fall 1993 and a commitment to institutional participation expected to pursue research, teach two courses at the assistant professor level. Applicants is also required. Candidates must be able. to per semester, work with graduate students, and should hold the Ph.D. degree by September demonstrate prior experience in delivery of ser­ eventually direct Ph.D. dissertations. Those with 1993. Strong commitment to excellence in vices through a student-centered approach with postdoctoral experience are encouraged to ap­ teaching and research is essential. sensitivity to a multicultural environment. Appli­ ply. Candidates are expected to have a strong Applications, including a vita and three letters cation materials must address these issues. research record (or potential) in an area com­ of reference, should be sent to: An attractive package of benefits, including patible with current faculty. Salary competitive. Search Committee free tuition for the employee and immediate Please provide a vita, publication list, official Department of Mathematics dependents, is offered by the college. transcript, and have three letters of recommen­ University of Mississippi The following materials must be submitted dation (one concerning teaching) sent by 2/1/93 University, MS 386n by March 22: Resume, cover letter discussing (or until position is filled) to: The selection process will begin March 31, philosophy and professional interests, teaching Andrew Glass, Chair 1993 and will continue until the position is filled. history, and names, addresses, and salary Mathematics & Statistics Dept. The University of Mississippi has a strong of three professional contact telephone numbers Bowling Green State University institutional commitment to the principle of references. Materials should be submitted to diversity. In that spirit, it is particularly interested Bowling Green, OH 43403-0221 the: EOE Employer. Female & minorities are en­ in receiving applications from a broad spectrum Human Resources Department couraged to apply. of people, including women, members of ethnic The College of Santa Fe minorities, and differently abled individuals. 1600 St. Michael's Drive AAIEOE Santa Fe, New Mexico 87501-5634 APPLICATIONS FROM WOMEN AND MI­ NORITIES ARE ENCOURAGED. CSF IS A OKLAHOMA DRUG FREE, EQUAL OPPORTUNITY WORK­ UNIVERSITY OF TULSA MISSOURI PLACE. Department of Mathematical UNIVERSITY OF MISSOURI-ST. LOUIS and Computer Sciences The Department of Mathematics and Computer NORTH CAROLINA The Department of Mathematical and Com­ Science seeks applicants for a tenure-track puter Sciences at the University of Tulsa invites position in the field of Algebraic Geometry at UNC-CHARLOTTE applications for tenure track positions in Math­ the rank of assistant professor. Duties include The Department of Mathematics ematics beginning inFall1993. Salary is open teaching and research. Charlotte, NC 28223 and competitive. Responsibilities include teach­ Candidates for the position should hold the ing 6 hours per semester at the undergraduate Ph.D. degree in mathematics (or equivalent Two tenure-track positions at Assistant Profes­ and graduate levels and continuing scholarly terminal degree). Preference will be given to sor level, one each in the areas of Statistics activity. Minimum qualifications are a Ph.D. in candidates with at least three years experience and Mathematics Education. Another Assistant Mathematical Sciences or a related discipline, in teaching and research. Professor position, in an open area, is possible. and a strong commitment to teaching and re­ The University of Missouri-St. Louis is lo­ Possible senior level positions (Associate/Full search. The Department has research programs cated in suburban St. Louis, Missouri, and is Professor level) in the area of Applied Math­ in Numerical Analysis, Statistics, and Scientific one campus of the four-campus University. of ematics. Possible visiting positions. Rank and Computing and is seeking candidates in applied Missouri System. salary for senior positions and visiting positions mathematics who will support these research

MARCH 1993, VOLUME 40, NUMBER 3 301 Classified Advertisements

areas. However, outstanding candidates in other Science. The candidate should have extensive Texas A&M University is an Equal Opportu­ related areas will also be considered. teaching credentials, evidence of scholarly activ­ nity/Affirmative Action employer. Women and The mathematics faculty offers B.S. and B.A. ity in the discipline, and, preferably, experience minority applicants are especially encouraged. degrees in Mathematics, and an M.S. degree as a department chair. The position requires in Applied Mathematics; and collaborates in excellent interpersonal skills, the ability to plan, the Ph.D. program in Computer Science. In and the vision to maintain the department as addition to campus and college computing an effective academic until as the College facilities, the departmental research computing completes its strategic planning process. facilities include desktop computing for each The position is available July 1, 1993. faculty member, a network of 18 Sun servers Applications will be accepted beginning March TEXAS A&M UNIVERSITY and workstations, 2 DEC workstations, a BBN 1993 and thereafter until an appointment is Department of Mathematics Butterfly, and Intel Hypercube, and a high­ made. A curriculum vitae and the names of resolution 24-bit color graphics system on an three references should be sent to: Applications are invited for one or more tenure­ Alliant FX-40. The department is also a member · Search Committee track or tenured faculty positions beginning of NSFnet. Chair, Mathematics and Physics in the 1993-1994 academic year. Outstand­ The department has Computer Science re­ Philadelphia College of Pharmacy and ing candidates in all fields of mathematics search efforts in Artificial Intelligence and Knowl­ Science are encouraged to apply. Significant research edge Based Systems, Numerical Learning Sys­ 600 South 43rd Street accomplishments or, in the case of a junior ap­ tems, Parallel Computing, Scientific Computing, Philadelphia, PA 191 04-4495 pointment, exceptional promise plus an earned Databases, and Computer Graphics. The de­ EOE Ph.D., together with evidence of good teaching partment is housed in the College of Engineer­ ability, will be expected of successful applicants. ing and Applied Sciences, creating a strong Salary will be commensurate with qualifications. opportunity for interdisciplinary collaborations. Candidates should send a letter of application, Applications will be evaluated beginning SOUTH CAROLINA full vita, and arrange to have at least 3 letters of March 1, 1993. Late applications will be ac­ recommendation sent to cepted until the position is filled. Send vitae, UNIVERSITY OF SOUTH CAROLINA William Rundell, Interim Head transcripts (for recent graduates), and three Department of Mathematics Department of Mathematics letters of reference to: Texas A&M University Dr. Richard A. Redner The Department of Mathematics invites applica­ College Station, Texas n843-3368 Search Committee Chairman tions for expected tenure-track faculty positions Texas A&M University is an Equal Opportu­ Mathematical and Computer Sciences for Fall 1993, at all ranks. Applications in all nity/Affirmative Action employer. Women and University of Tulsa areas of mathematics will be considered. Re­ minority applicants are especially encouraged. 600 S. College, Tulsa, OK 74104-3189 search is supported by excellent inhouse library (e-mail: [email protected],edu) and computing facilities. The Ph.D. degree or The University of Tulsa, an equal opportu­ its equivalent is required. Appointments will be nity/affirmative action employer, is committed consistent with the Department's commitment to diversifying its faculty and staff. Members to excellence in research and in teaching at the of underrepresented groups (people of color, undergraduate and graduate levels. A detailed people with disabilities, women, veterans, etc.) resume, containing a summary of research ac­ UNIVERSITY OF TEXAS AT EL PASO are strongly urged to apply. complishments and goals, and four letters of Department of Mathematical Sciences recommendation should be sent to: Dr. George F. McNulty, Chairman The Department of Mathematical Sciences is Department of Mathematics authorized to hire two non tenure track lectur­ PENNSYLVANIA University of South Carolina ers to teach undergraduate courses. Teaching Columbia, SC 29208 load will be fifteen undergraduate credit hours PHILADELPHIA COLLEGE OF The University of South Carolina is an Affirma­ per semester. (Usually several sections of the PHARMACY AND SCIENCE tive Action/Equal Opportunity Employer. same course will reduce the number of actual Department Chairperson preparations.) Ph.D. or equivalent in an area of Mathematics and Physics Mathematical Sciences is required; dissertation approved by August 31 and award of doctorate The Philadelphia College of Pharmacy and TEXAS in 1993 is acceptable. Candidates must have an Science (PCPS) is seeking an experienced, excellent teaching record or show strong poten­ energetic leader to chair the Department of TEXAS A&M UNIVERSITY tial for teaching excellence. Lecturers will have Mathematics and Physics. The department pro­ Research Instructorships In Mathematics some teaching related service activities. Initial vides required course in Mathematics, Physics, appointment will be for one year; renewable for and Computer Science as part of the recently The department expects to have several Re­ two further years on the basis of first semester adopted core curriculum. Statistics is also a search instructorships available for the 1993· performance. Subsequent renewals are possi­ required courses in two undergraduate ma­ 1994 academic year. These are two year ble. Send curriculum vitae, and transcript and jors and in the Graduate Programs. Academic positions, and candidates should have recently arrange for three letters of reference to be sent minors are available within the department. received their Ph.D., show promise of re­ to Lecturer Screening Committee, Department The department has thirteen full-time faculty search excellence in an area of pure or ap­ of Mathematical Sciences, The University of members. plied mathematics, and have a commitment Texas at El Paso, El Paso, Texas 79968-0514. PCPS offers undergraduate, professional, to teaching. Preference will be given to appli­ Consideration of applications will begin March and graduate programs to 1650 full-time stu­ cants whose expertise augments our existing 31 , 1993 and continue until the positions are dents. Baccalaureate or first professional de­ research strengths. filled or the search abandoned. The right to gree programs are available in Biochemistry, Application material consisting of a vita leave positions unfilled is reserved. Biology, Chemistry, Medical Technology, Micro­ which should include a statement of research The University of Texas at El Paso does biology, Pharmacology and Toxicology, Physical goals, and 3 letters of recommendation should not discriminate on the basis of race, color, Therapy, and Pharmacy. Five graduate pro­ be sent to national origin, sex, religion, age, or disability in grams offer the Master of Science and Doctor William Rundell, Interim Head employment or the provision of services. of Philosophy degrees. Department of Mathematics The College is seeking an individual with Texas A&M University a Ph.D.· in Mathematics, Physics, or Computer College Station, Texas n843-3368

302 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY -- Classified Advertisements

male and female candidates. In acoordance with WEST VIRGINIA - Can~dian immigration requirements, priority will be g1ven to Canadian citizens and permanent WHEELING JESUIT COLLEGE ~~sidents _of Canada. U.B.C. welcomes all qual­ out­ Wheeling, West Virginia ified applicants, especially women, aboriginal SENDERO SCIENTIFIC PRESS seeks visible minorities, and persons with standing expository books accessible to grad­ Wheeling Jesuit College announces a tenure people, disabilities. uate students in mathematics and physics. track position in Mathematics at the Assistant Prompt, careful, courteous review of manu­ Professor level beginning In August 1993. scripts is our policy. For more information see Candidates must have an earned doctorate our Notices ads beginning in Novemb~r (p. in Statistics or Mathematics with some back­ 1156) or write to Stephen Parrott, Director, 1678 ground in statistics, experience in teaching at CYPRUS Shattuck Ave. #70, Berkeley, CA 94709. the college level, and a strong commitment to teaching a wide variety of courses in a liberal UNIVERSITY OF CYPRUS send a resume arts program. Applicants should Department of Mathematics and Statistics to or: transcripts, and three letters of reference POSITIONS WANTED Ted Erickson, Chair, Dept. of Mathematics & Applications are invited for faculty positions at Comp. Sci., Wheeling Jesuit College, Wheeling all levels within the areas of Pure, Applied WV26003. ' Mathematics, Probability and Statistics. Married couple, daughter, son, son-in-law with Evaluation of candidates will begin in March Applicants are asked to furnish (by March 4 doctoral degrees, 2 U.S. passports, 3 green and ~ntinue u~til the position is filled. Wheeling 30, 1993) a curriculum vitae, a brief review ?ards, 107 publications, exp_erience in industry, equal opportunity employer. Jeswt College 1s an of their research work (in Greek), copies of 1n ~hools, 1n ~alleges teaching math, computer representative publications, and to arrange for sc1ence, phys1cs, and successfully supervising three letters of recommendation to 16 doctoral dissertations will share 1-5 teaching Administration and/or research positions. Specialties include University of Cyprus algebra, geometry, logic. Martin Greendlinger, P. 0. Box 537 887 North Taney Street, Philadelphia, PA 19130. Nicosia, CYPRUS Tel (02) 366186, Fax (02) 366198.

CANADA PUBLICATIONS FOR SA THE UNIVERSITY OF BRITISH COLUMBIA Mathematics Department ENGLAND Essentially complete set of Mathematical Re­ Room 121 -1984 Mathematics Road views from Volume 1, Number 1 , through UNIVERSITY OF BIRMINGHAM Vancouver, B.C. CANADA V6T 1Z2 Volume 57, 1982. Unbound, good condition. School of Mathematics and Statistics Contact J. P. King, Mathematics Dept., Lehigh The Mathematics Department at the University MASON CHAIR OF PURE MATHEMATICS University, Bethlehem, PA 18015. Tel. 215-758- of British Columbia expects to have a number of Applications are invited for the vacant Mason 3748. postdoctoral fellowships, sessional lectureships Chair of Pure Mathematics. The appointment and visiting positions at the Assistant, Associate: will take effect from 1st September 1993 or as and Full Professor level for the year starting soon as possible thereafter. Candidates should July 1 , 1993, subject to the availability of funds. have a proven research record and demonstrate MATH SCI PRESS, 53 Jordan Rd., Brook­ We also expect a number of summer session strong academic leadership qualities. line, MA 02146, 617-738-0307. Constrained teaching positions during the months of May There is a vacant lectureship post in Pure Mechanics and Lie Theory and Geometric through August 1993. A Ph.D. or equivalent and Mathematics which will be filled in consultation Structures in Nonlinear Physics, both by R. University teaching experience and evidence of with the successful candidate. Hermann and $95. 44 titles. Write or phone for high potential for research in Mathematics are The closing date for applications is Wednes­ Special Sale Prices. required. Since some positions will be partially day 31st March 1993. Further particulars may be supported by research grants, these positions obtained from the Director of Staffing Services, will be filled by persons having research inter­ !he University of Birmingham, Edgbaston, Birm­ ests relating to the grant holders. The salary will mgham, B15 2TT (Telephone: 021-414-3841; WANTED be commensurate with experience and research PUBLICATIONS Fax: 021-414-4802; from overseas replace 021 record. by 44-21). Applications, including C.V. and names of. Informal enquiries may be directed to Pro­ Wanted: Mathematical books, journals, reprints, references should be sent to: The Head De­ fessor J.R. Blake, Telephone 021-414-6581· ephemera. Contact R. K. Dennis, Math. Dept., partment of Mathematics, University of British E-mail: [email protected]; Fax: 021-414: White Hall, Cornell U., Ithaca, NY 14853-7901. Columbia, Vancouver, B.C. Canada V6T 1Z2. 3389; or Dr A.H.M. Hoare; Telephone: 021-414- Tel: 607-255-4027, FAX: 607-255-7149. e-mail: Applications received after March 31, 1993 will 6584. [email protected] be considered only if vacancies remain to be Working towards equal opportunities. filled. The University of British Columbia offers equal opportunity for employment to qualified

MARCH 1993, VOLUME 40, NUMBER 3 303 • REALITY RULES 1: • CHAOTIC AND FRACTAL From Pitman BaMNCb Npfaa In Picturing the World In Math· DYNAMICS: An Introduction Matb....,.tlc&.. ematics-The Fundamentals for Applied Scientists and • BANACH C(K)-MODULES REALITY RULES II: Engineers F.C. Moon AND OPERATORS PRESERVING Picturing the World In Math· 1-54571-6 528pp Sep. 1992 $59.95 Dls.JOINTNESS ematics-The Frontier Y.A. Abramovich and A.K. Kitover J. Casti 0-2207o-8 164pp Jan. 1993 $41.95p 1: 1-57021-4 416pp Aug. 1992 $39.95 11:1-57798-7 448pp Aug. 1992 $44.95 Solutions Manus/ available an rsqUBSl from the publisher • PRINCIPLES OF • EMERGING APPLICATIONS CONTINUUM MECHANICS IN FREE BOUNDARY M. Narasimhan PROBLEMS • CONTEMPORARY DESIGN 1-54000-5 584pp Dec. 1992 $69.95 J.M Chadam and H. Rasmussen THEORY: A COLLECTION OF 0-22099-6 288pp Apr. 1993 $56.95p SURVEYS Edited by J. Dinitz and D.R. Stinson • STOCHASTIC PARTIAL 1-53141-3 656pp June 1992 $79.95 • COMPUTING FOR DIFFERENTIAL EQUATIONS SCIENTISTS AND ENGINEERS: AND APPLICATIONS A Workbook of Analysis, Nu· • NETWORK MODELS IN G. Da Prato and L. Tubaro rnerics and Applications 0-21967-X 292pp Sept1992 $42.00p OPTIMIZATION AND THEIR W.J. Thompson APPLICATIONS IN PRACTICE 1-54718-2 464pp Ocl1992 $54.95 F. Glover, D. Klingman and N. Phillips • PROGRESS IN VARIATIONAL 1-57138-5 304pp July 1992 $54.95 METHODS IN HAMILTON IAN SYSTEMS AND ELLIPTIC • NUMERICAL METHODS EQUATIONS • APPLIED AND COMPUTA· FOR LARGE EIGENVALUE M. Girardi, M. Matzeu and F. Pacella TIONAL COMPLEX ANALYSIS, PROBLEMS 0-21852-5 184pp Apr. 1992 $34.00p Volume Ill: Discrete Fourier Y. Saad Analysis-Cauchy Integrals­ 0-21820-7 346pp June 1992 $64.95 • HAMILTONIAN FLOWS AND Construction of Conformal EVOLUTION SEMIGROUPS Maps-Univalent Functions H. Gzyl P. Henrici 0-21715-4 124pp Jan. 1991 $39.95p 1-58986-1 656pp Mar. 1993 $39.95p • THE SCHWARZ FUNCTION A Wiley Classics Library paperbaclc AND ITS GENERALIZATION TO HIGHER DIMENSIONS • LIMIT ALGEBRAS: H.S. Shapiro AN INTRODUCTION • MATRIX COMPUTATION 1-57127-X 128pp Feb. 1992 $59.95 TO SUBALGEBRAS OF C*• Tha University of Alkansas Lectum Notes In tha ALGEBRAS Second Edition Mathamstlcal Sclflncss P.A. Jennings S.C. Power 1-93527-1 550pp Dec. 1992 $39.95p 0-22080-s 224pp Apr. 1993 $41.95p • Send for 15 day exam with bill -----• Payment enclosed------(prepaid orders are sent postpaid) • APPLIED CHAOS NAME: ______Edited by Jong Hyun Kim and John Stringer ARM: ______1-54453-1 576pp Sept. 1992 $64.95 ADDRESS: ______

CITY/STATE/ZIP:------• AN INTRODUCTION TO THE SIGNATURE: ______FRACTIONAL CALCULUS AND TO ORDER BY PHONE, CALL TOLL-FREE 1-800-52~368 FRACTIONAL DIFFERENTIAL All other inquiries, call (212)850.6418 EQUATIONS K. Miller and B. Ross • indicates a tentative prepublication. price 1-58884-9 320pp May 1993 $59.95* Prices subject to change without notice &: higher outside the U.S. NEW AND CLASSIC TITLES FROM BIRKHAUSER

FUNDAMENTALS OF Forthcoming- Nf!'IP fro"! the PTCS series! THE THEORY OF THE GEL'FAND OPERATOR ALGEBRAS MATHEMATICAL Second Edition! Special Topics SEMINARS, 1990-1992 CATEGORICAL COMBIN­ R.V. Kadison, University of Pennsylvania, L. Corwin, I.M. Gel'fand, J. Lepowsky, all ATORS, SEQUENTIAL Philadelphia, PA & J.R. Ringrose, University of Rutgers University, NJ (Eds.) of Newcastle, Newcastle upon Tyne, UK ALGORITHMS, lND ·FUNC­ The world famous Gel' fand Seminars began in TIONAL PRoGRAMMING Readers of the highly acclaimed treatise on Moscow in November 1943 and have contin­ which these volumes are based will enthusias­ ued uninterrupted up to the present. They P.·L. Curien, CNRS-LIENS tically welcome the detailed solutions to the have always been known for their breadth stimulating exercises that appeared in the first This 'a thoroughly revised edition of a. of topics and diversity of styles - a true monograph that presents examples of ' two volumes. With clarity, thoroughness, and globalization of the art and science of math­ fruitful interaction among computer. sci­ depth, these solutions supplement the basic ematics. Most of the talks contained within ence, category theory and mathematical theory and provide an invaluable tool for stu­ this volume were given at their new location, logic. It will be .of interest to researchers in dents and researchers in mathematics and Rutgers University - with some originating the syntax and semantics ofprogranyning theoretical physics and engineering. from Seminars in Moscow and Paris. languages, rewriting .systems, and appli· VOLUME III: Elementary Theory- An 1993 Approx. 250 pp., 19 illus. Hardcover cations of categorical algebra. . Exercise Approach $55.00 (tent.) ISBN 0-8176·3689-7 199.3 ~x. 420 pp., 5 illus . .Hardcover " ... a fitting companion to the existing volumes and $64.50: .IS8N 0-8!76-36544. a welcome addition to the literature on functional Second Printing! PrOgress lri Theoretical CompUter Science analysis. Theexercises ...were carefully designed by the authors to illustrate the results of the text and to RIEMANNIAN GEOMETRY expand its scope ....theauthors' solutions ... are models NONDETERMINISM IN of clarity and efficiency, reflecting their vast expe­ M.P. do Carmo, Instituto de Matematica rience and insight into the subject." Pura e Applicada, Rio de Janeiro, Brazil ALGEBRAIC .SPECIFICA­ (Translated from the Portuguese by Flaherty, -MATHEMATICAL REVIEWS F. TIONS ~D · ALGEBRAIC Oregon State University, Corvall, OR) CONTENTS: Preface • Linear Spaces • Basics of Hilbert PROGRAMS , Space and Linear Operators • Banach Algebras • Elementary "Well-written text for a first graduate course in C*-Algebra Theory • Elementary von Neumann Algebra differential geometry." H. Hussmann, Technische Universitiit . Theory -AMERICAN MATHEMATICAL MONTHLY Miinchen, Germany · 1991 273 pp. Hardcover $34.50 ISBN 0-8176-3497-5 1991 300 pp . Hardcover Presentsamathematicaltheoryfortheirite-· $39.50 ISBN 0-8176-3490-8 gration ofthree<;<>ncepts: NortdetenniniSm, VOLUME IV: Advanced Theory- An Mathematics: Theory and Applications axioJru\ti~ spe<;ificittion, and term wri~. Exercise Approach The general framework is used to ~plore CONTENTS: Comparison Theory of Projections • Normal · connections between logic progranmrl.ng States and Unitary Equivalence of von Neumann Algebras and algebraic programming. Many ~­ • The Trace • Algebra and Commutant • Special Representa­ amples . from various areas of' computer tions of c•-Algebras • Tensor Products • Approximation by science ate given, including results of com- Matrix Algebras • Crossed Products • Direct Integrals and Three Easy Ways to Order! Decompositions • Index . puter ~riments with .a prototypical implementation. · · · · 1992 586 pp. Hardcover CAU: Toll-Freel-800-777-4643. In NJ please $49.50 ISBN 0-8176-3496-3 call (201) 348-4033. Your reference number 1993 Approx. 270 pp.,.15 illus. Hardcover isY692. $49.50 ISBN 0-8176-3700-1 . PrOgress iri Theo~l Computer Science WRITE:. Birkhiiuser, Dept. Y692, 44 Hartz Forthcoming- Way, Secaucus, NJ 07096-2491 ALGEBRA VISIT: Your local technical bookstore, or THE GRAPH urge your librarian to order for your I.M. Gel'fand, Rutgers University & department. ISOMORPHISM PROBLEM A. Shen, Moscow State Its Stnlctural Complexity Coming in Fall 1993 - An elementary algebra Payment can be made by check, money Kobler.and l:J. Schoning, both of Unic J. text from one of the leading mathematicians order or credit card. Please enclose $2.50 versity of Uln\; Germany &: Toran, Uni­ J. of the world - a major contribution to the for shipping & handling for the first book versity of Politecnica de Catalunya, Spain teaching of the very first high school level ($1.00 for each additional book) and add Summarizes a recent variety of results on course in a centuries old topic - refreshed by appropriate sales tax if you reside in NY, the complexity status of the graph isomor­ the author's inimitable pedagogical style and NJ,MA, VT,PAorCA. Canadian residents phism problem. The t~t is self-contained deep understanding of mathematics and how please add 7% GST. Prices are valid ·in though some elementary knowledge of it is taught and learned. North America only, are payable in U.S. complexity and probability theories is rec­ currency or its equivalent, and are subject 1993 Approx. 157 pp., 27 illus. Softcover to change without notice. oll\Jl\ended. It can be used to teach a semi­ $14.50 (tent.) ISBN 0-8176-3677-3 nar or a monographic graduate course. For price and ordering information outside 1993 Approx. 170 pp. Hardcover North America, please contact Birkhiiuser $34.50 (tent.) ISBN 0-8176-3680-3 VerlagAG,Klosterberg23,CH-4010,Basel, 7666. Progress. In Theoretical Computer Science Switzerland. FAX 061 2712 Birkhiiuser 3/93 Reference IIY692 Boston Basel Berlin Every other month UME Trends brings you:

A Reviews of the latest in computer software, instructional videos, books, and much more.

A The Whene and Wheree of mathematics education meetings.

A Tried and tested suggestions for teaching undergraduate mathematics you can use in your classroom.

A Informative and interesting articles emphasizing education issues.

Don't miss these exciting articles:

~o Got the Money?-The National Science Foundation has granted o.;er$7 million for Calculus Reform and other curriculum reform projects. 'Nno got it and for what'?

Advioe on Advt5tng -A new MM committee asks readers to contribute examples of suc­ cessful advising experiences, locally created materials, and inno;ative advising prcxgrams.

; Profe55ional Reward5 for Contrlbutlon5 to Education - Discusses the fundamental changes that are emerging in the system of re'A'arding faculty to take into consideration work in course development, teaching methods, and research in learning.

UME Trends is a publication of the Joint Policy Board for Mathematics, whose member societies are the American Math­ ematical Society, the Mathematical Association of America, and the Society for Industrial and Applied Mathematics. UME Trends is published six times per year. Annual subscriptions: $16.00; $24.00 foreign. r:~- ~- ~- -.,(-~- ~- ~- ~- ~- -.,4--- -~- ~- ~ -, :DYEs! Please send me a free copy of UMETrends. : 1 And enter my trial subscription for one year at the low rate of $16 (foreign $24). If I am not com- I I pletely satisfied I can return your invoice marked "cancel" and will owe absolutely nothing. The first I I issue is mine to keep. This offer is for new subscribers only. This offer is good through April 1, 1993 I I Name I I Address I I I I City State Zip 1 1 Lsimply------return this form to: UME Trends, MAA, 1529 18th Street NW, Washington, DC 20036-1385_jl Ekm,ntary Classical AnabJsu, W. H. proofofTh001'<1112 Dofme tbe function G: A c R• x R•--. R• x R• by 0', and the id

0 I

0 ... I 0 ... 0· oF, oF, oF, oF, ax, ... ax. o/1 ... o/.

-, niCally /.\' . - It's a breeze. ~~~-

·:. ·.. ·saENI!iRC Scientific Word is a front end to TF){. It includes a Windows version of If.TF){ WDirl and a Windows previewer. It stores files It will have you typing mathematics in in ASCII If.TF){ format and imports most minutes. It's so easy, you can compose existing If.TF){ documents. and edit directly on the screen without being forced to think in TF){. So chill out! Let Scientific Word make your life a breeze. All you need is a PC And it gets even better! With Windows with Windows 3.0 or higher, running in 3.0, you simply use the mouse to click standard or enhanced mode... and on symbols and objects such as Scientific Word. fractions, brackets, etc., and they appear in your document. Or, you can enter the same symbols with keyboard shortcuts. Call 800-874-2383 to order your copy today. Ask about our 30 day money-oack guarantee and our educational discount.. ... lt's that easy.

1190 Foster Road • Las Cruces, NM 88001 TEL: (505) 522-4600 • FAX: (505) 522-0116 TELEX: 317629 SOFTWARE RESEARCH, INC. Scientific Word is a registered trademark of TC! Software Research Inc T EX is a trademark of the American Mathematical Society. Windows is a trademark of Microsoft. ESSENTIAL MATHEMATICS FROM CAMBRIDGE

Fourier Integrals in Classical Analysis Aspects of Combinatorics ChrirtopherD.Sogge A Wide-ranging Introduction Cambridge tracts in Mathematics 105 Victor Bryant 1993 246 pp. 43464-5 Hardcover $39.95 1993 274 pp. 41974-3 Hardcover $64.95 42997-8 Paper $29.95 Analysis and Geometry on Groups Nicholas T. Varopou/os, L. Sa/off-Corte, · Computation with Finitely and T. Coulhon Presented Groups Cambridge tracts in Mathematics 100 Charles C. Sims 1993 168 pp. 35382-3 Hardcover $44.95 Encyclopedia ofMathematics and its Applications 48 1993 500 pp. 43213-8 Hardcover $99.95 A Primer of Nonlinear Analysis Antonio Ambrosetti and Giovanni Prodi Vortex Dynamics Cambridge Studies in Advanced Mathematics 34 P. G. Saffman 1993 160 pp. 37390-5 Hardcover $44.95 Cambridge Monographs on Mechanics 1993 322 pp. 42058-X Hardcover $69.95 Sporadic Groups Michael Aschbacher Available in bookstores or from Cambridge tracts in Mathematics 104 1993 250 pp. 42049-0 Hardcover about $44.95 CAMBRIDGE Algebraic L-theory and Topological Manifolds UNIVERSITY PRESS A. A. Ranicki 40 West 20th Street, New York, NY 10011-4211 Cambridge tracts in Mathematics 102 Call toll-free 800-872-7423 1993 358 pp. 42024-5 Hardcover $69.95 MasterCard/VISA. accepted. Prices subject to change.

Nil Rings and Periodic Groups by Efim Zelmanov

A comprehensive introduction to the restricted Burnside problem.

CHAPTER I CHAPTERW 2. Lows on cosets and identities for ASSOCIATIVE NIL ALGEBRAS LIE ALGEBRAS Lie algebras of pro-p-groups 3. Restricted Burnside problem 1. The structural approach 1. Sandwiches 2. A direct combinatorial approach 2. Theorem of A. I. Kostrikin 1991 Mathematics Subject Classification: 3. Golod-Shafarevich inequality and 3. Sketch of the proof of the general 17,20 Golod's counter examples theorem 1992/X + 79 pp., softcover $15.00 4. Linearized Engel's identity CHAPTERll 5. Coming down from L to L Order from: JORDAN ALGEBRAS 6. Proof of the Main Theorem for Lie algebras satisfying a linearized Korean Mathematical Society 538 Dowha Dong, Mapo Ku 1. Definitions and examples Engel's identity Sung Ji Bldg., Rm. 706 2. Relations to Lie algebras Seoull21-743, Korea 3. The Kurosh-Levitzky Problem in CHAPTER IV Jordan algebras PERIODIC GROUPS Prepayment required, by check or money order. 4. Quadratic Jordan algebras and Please enclose $5.00 for optional air shipping Jordan pairs 1. Lie algebras of residually p-groups ($1.00 per each additional book). 1993 CRM-UBC Summer School on MATHEMATICAL BIOLOGY University of British Columbia Vancouver, B.C. July 19 to August 13, 1993 UNDER THE SCIENTIFIC DIRECTION OF ROBERT M. MIURA (UBC) In the 1993 Summer School •. there will be courses on a numbet: of different subjects in ~ematical Biology, with lectlJ!es by C.W. Clark (UBC), A. Dobson (Princeton), L. Keshet (UBC), S. Levm {Pr!Il<;eton), D.A. Ludwtg (UBC), M. Mari_gel (UC Davts), J. Milton (Chicago), R.M. Miura (UBC), S. Pimm (Tennessee), J. Rinzel (NIH), L.A. Segel (Weizmann), and JJ. Tyson (Virgima Tech). The various courses will cover a wide range of topics in mathematical biology. These themes include prt?blems of conservation biology, evolutionary biology, developmental biology, poP.ulation biology, molecular and cellular biology, infectious diseases, pattern formation, cell division, physiological control, stocliastic effects, exctiable media, neurophysiology, unmunology, neural networks, and nonlinear waves. The mathematical tol)!cs involved include optimization theory, game th~. ordinary differential equations, partial differential equations, differential-delay equations, statistical methods, and ~bation methodS. Numerical computations also play an important role in understanding complex mathematical systemst as Will be evident in these lectures. Most Important, the participants will learn some of the backgrowid biology and modeling givmg rise to the mathematical problems.

The lectures are intended for an audience of grcWuate students, and in keeping with this objective, only ~uate students and postdoctoral fellows are invited to attend (prior experience in mathematical biology IS not an absolute prerequisite). • Fellowships are available • The registration deadline is Aprill, 1993 • For further information and an application form contact LOUIS PELLETIER at: CRM Summer School, Universite de Montreal,, C.P. 6128, succ. «A», Montreal (Quebec), CANADA H3C 3J7 FAX: (514) 343-2254, E-mail: [email protected]

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 This journal publishes high quality papers on relationship with the world famous mathemati­ subjects related to classical analysis, partial differen­ cian S.S. Chern. It includes a biography and a tial equations, algebraic geometry, differential comment by Chern himself. Historically interest­ geometry, and topology. There will be four issues ing photographs are included. published annually. To prevent a backlog, the publisher may occasionally increase the number of Series in Mathematical Physics 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 January 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 a well as papers describing more recent results. To Order. contact: Elizabeth Johnstone To Order. conta.ct: Elizabeth Johnstone International Press International Press Company P.O; Box 2872 P.O. Box2872 Cambridge, MA 02238-2872 Cambridge, MA 02238-2872 American Mathematical Society

Journal of the American Mathematical Society

When the Journal of the American Mathematical Society first appeared in 1988, it gained instant respect for its careful selection of relevant, important, and timely research. The editors are devoted to publishing research articles of the highest quality in all areas of pure and applied mathematics. Editors of this journal include: Michael Artin, H. Blaine Lawson, Jr., Richard Melrose, Wilfried Schmid, and Robert E. Tarjan.

1993 Subscription Prices List $144*, Institutional member $115*, Individual member $86* (ISSN 0894-0347). Back volumes are also available. Call AMS Customer Services for prices. To order, please specify 93JAMS/NA

Transactions of the American Mathematical Society

American Mathematical Society journals are respected worldwide for publishing high-quality research. Transactions of the American Mathematical Society features well-written papers devoted to pure and applied mathematics. This impor­ tant monthly journal was first published in 1900.

1993 Subscription Prices List $893**, Institutional member $714** (ISSN 0002-9947). Back volumes are also available. Call AMS Customer Services for prices. To order, please specify 93TRAN/NA

*Postage surcharge: India $18; other foreign $8. Optional delivery: First class $1 3; airmail $36. **Postage surcharge: India $50; other foreign $27. Optional delivery: First class $38; airmail $127. All prices subject to change. Prepayment required. Order from: American Mathemati­ cal Society, P.O. Box 5904, Boston, MA 02206-5904, or call toll free 800-321-4AMS in the U.S. and Canada to charge with VISA or MasterCard. Residents of Canada, please include 7% GST. Application for Membership 1993 AMERICAN MATHEMATICAL SOCIETY (January-December) Date ...... 19 ......

P/tNJSe read the reverse side of this form to determine what member­ Fields of Interest ship category you are eligible for. Then fill out this application and If you wish to be on the mailing lists to receive informa­ retum it as soon as possible. tion about publications in fields of mathematics in which Subscriptions to the Notices and the Bulletin (New Series) are in­ you have an interest, please consult the list of major cluded as part of your membership. headings of the 1991 ·Mathematics Subject Classifica­ tion below. Select no more than five category num­ bers and fill in the numbers where indicated on the left...... These categories will be added to your computer record so that you will be informed of new publications or spe­ Please indicate below the way your name should appear in the Combined cial sales in the fields you have indicated. Membership List. 00 General 01 History and biography ····························································· 03 Mathematical logic and foundations 04 Sat theory Place of Birth •••••••••••••••••••••••••••••• • • • • •••••• • • • ••••••• 05 Combinatorics City ..,. CDuntry 06 Order, lattices, ordered algebraic structures 08 General algebraic systems Date of Birth ••••••••••••••••••••••••••••••••••••••••••••••••••• 11 Number theory Dey Month YHT 12 Field theory and polynomials If formerly a member of AMS, please indicate dates •••••••••••••••••• 13 Commutative rings and algebras 14 Algebraic geometry Check here if you are now a member of either MAA D or SIAM D 15 Unear and multilinear algebra; matrix theory 16 As!iociative rings and algebras and dates •••••••••••••••••••••••••••••••. Degrees, with institutions 17 Nonassociative rings and algebras 18 Category theory, homological algebra 19 K-theory ····························································· 20 Group theory and generalizations 22 Topological groups, Ue groups ····························································· 26 Real functions 28 Measure and integration Present position ...... 30 Functions of a complex variable 31 Potential theory Firm or institution ...... 32 Several complex variables and analytic spaces 33 Special functions 34 Ordinary differential equations ····························································· 35 Partial differential equations 39 Finite differences and functional equations Primary Fields of Interest (choose five from the list at right) 40 Sequences, series, summability 41 Approximations and expansions 42 Fourier analysis ·········· 43 Abstract harmonic analysis Secondary Fields of Interest (choose from the list at right) 44 Integral transforms, operational calculus 45 Integral equations 46 Functional analysis ·········· 4 7 Operator theory Address for all mail 49 Calculus of variations and optimal control; optimization 51 Geometry ····························································· 52 Convex and discrete geometry 53 Differential geometry ····························································· 54 General topology ...... 55 Algebraic topology . 57 Manifolds and cell complexes Telephone number(s) •••• ~ ••••••••••••••••••••••••••••••••••••••• 58 Global analysis, analysis on manifolds 60 Probability theory and stochastic processes Electronic address ••••••••••••••••.•••••••••••••••••••••••••••••• 62 Statistics 65 Numerical analysis 68 Computer science ······· ·····················••!"••••••••••···················· 70 Mechanics of particles and systems 73 Mechanics of solids 76 Fluid mechanics 78 Optics, electromagnetic theory Prepayment Methods and Mailing Addresses 80 Classical thermodynamics, heat transfer All p~~yments must be in U.S. Funds. 81 Quantum theory Send checks, money orders, UNESCO coupons to American Mathemat­ 82 Statistical mechanics, structure of matter ical Society, P.O. Box 5904, Boston, MA 02206-5904 83 Relativity and gravitational theory 85 Astronomy and astrophysics To use VISA or MasterCard, fill in information requested and mail to 86 Geophysics American Mathematical Society, P.O. Box 6248, Providence, Rl 02940- 90 Economics, operations research, programming, 6248 or call (401) 455-4000 or 1-800-321-4AMS. games 92 Biology and other natural sciences, behavioral For Foreign Bank Transfers: The name and address of the AMS bank sciences is State Street Bank and Trust Company, ABA #011000028, Account 93 Systems theory; control #0128-262-3, 225 Franklin St., Boston, MA 02110. 94 Information and communication, circuits VISA D MasterCard D . . . • ...... • . . • • ...... •...... M3NO Membership Categories Reciprocating Societies Please read the following to determine what membership category you D Allahabad Mathematical Society are eligible for, and then indicate below the category for which you are D Asociaci6n Matem6tica Espanola applying. D Australian Mathematical Society For ordin11ry members whose annual professional income is below $45,000, D Berliner Mathematische Gessellschaft e.V. the dues are $81, for those whose annual professions/ income is $45,000 or D Calcutta Mathematical Society more, the dues are $108. . D Dansk Matematisk Forening The CMS Coopeflltive R11te applies to ordinary members of the AMS who D Deutsche Mathematiker-Vereinigung e.V. are slso members of the Csnsdisn Mathematical Society and reside out3ide of D Edinburgh Mathematical Society the U.S. For members whose annus/ professions/ income is $45,000 or less, D Gesellschaft fOr Angewandte the dues are $69 and for those whose snnus/ professions/ income is above Mathematik und Mechanik $45,000, the dues are $92. D Glasgow Mathematical Association For s joint f11mily membership, one psys ordinary dues, besed on his or D Indian Mathematical Society her income, and the other psys ordinary dues besed on his or her income, less $20. (Only the member psying full dues will receive the Notices and the D Iranian Mathematical Society Bulletin ss a privilege of membership, but both members will be accorded all D Irish Mathematical Society other privileges of membership.) D rslenzka Staer6frae8afelagi6 Minimum dues for contributing members are $162. D Israel Mathematical Union For either lltudents or unemployed individu11/s, dues are $2 7, and annual D J6nos Bolyai Mathematical Society verification is required. D Korean Mathematical Society The annual dues for reciprocity members who reside outside the U.S. and D London Mathematical Society Csnsde are $54. To be eligible for this classification, members must belong to D Malaysian Mathematical Society ona of those foreign societies with which the AMS has established a reciprocity D Mathematical Society of Japan agreement and annusl verification is required. Reciprocity members who D Mathematical Society of the Philippines reside in the U.S. or Csnsde must JJIIY ordinary member dues ($81 or $108). The annual dues for Clltegory-S members, those who reside in develop­ D Mathematical Society of the Republic of China ing countries are $27. D New Zealand Mathematical Society Members can purchase s multi-ye11r membership by prepaying their cur­ D Nigerian Mathematical Society rent dues rete for either two, three, four or five years. This option is not D Norsk Matematisk Forening available to either unamployed or student members. D Osterreichische Mathematische Gesellschaft D Polskie Towarzystwo Matematyczne 1993 Dues Schedule (January through December) D Punjal:> Mathematical Society For any category of membership where more than one dues level is given, D Ramanujan Mathematical Society see the above for descriptions of Members' Categories. D Real Sociedad Matem6tica Espanola D Sociedad Colombians de Matem6tica Ordinary member •••••••••••••••••••••••••••••••••• D $81 D $108 D Sociedad de Matem6tica de Chile CMS Cooperative rate ••••••••••••••••••••••••••••••• D $69 D $92 D Sociedad Matem6tica de Ia Republica Dominicans Joint family member (full rate) ••••••••••••••••••••••• D $81 D $1 08 D Sociedad Matem6tica Mexicana D Sociedade Brasileira Matem6tica Joint family member (reduced rate) •••••••••••••••••••• D $61 D $88 D Sociedade Brasileira de Matem6tica Contributing member (minimum $162) ••••••••••••••••••••••••••• D Aplicada e Computacional D Sociedade Paranaense de Matematica Student member (please verify) 1 •••••••••••••••••••••••••••• D $27 D Sociedade Portuguese de Matem6tica D Societat Catalana de Matemlltiques Unemployed member (please verify)2 •••••••••••••••••••••••• D $27 D Societe de Mathematiques Appliquees Reciprocity member (please verify)3 •••••••••••• D $54 D $81 D $1 08 et lndustrielles D Societe Math&matique de Belgique Category-S member ••••••••••••••••••••••••••••••••••.••••• D $27 D Societe Mathematique de France Societe Math&matique Suisse Multi-year membership ••••••••••••••••••••• $ ...... for •••••• years D D Southeast Asian Mathematical Society 1 Student Verificlltion (sign below) D Suomen Matemaattinen Yhdistys D Svenska Matematikersamfundet I am a full-time student at ••••.•••..•••••.•.•.••••.•.•.••..•.•...• D Union Mathem6tica Argentina ••••••••••••••••••••••••••••••••• currently working towards degree. D Union of Czechoslovak Mathematicians and .Physicists 2 Unemployed VerifiCIItion (sign below) I em currently unemployed and D Unione Matematica ltaliana actively seeking employment. My unemployment status is not s result of D Vijnana Parishad of India of retirement from my last position. voluntary resignation or D Wiskundig Genootschap 3 Reciprocity Membership Verificlltion (sign below) I am currently a mem­ ber of the society indicated on the right and am therefore eligible for reciprocity membership. Order Form

Ordered by: Mail to (if different): Nrune ______Nrune ------Address ______Ad~ess ______

City------State---- Zip----­ City------State---- Zip----­ Country------Country------Code ______Code ______

For orders with remittances: For VISA or MasterCard orders: American Mathematical Society American Mathematical Society P. 0. Box 5904 P. 0. Box 6248 Boston, MA 02206-5904 Providence, Rhode Island 02940-6248 401-455-4000 800-321-4AMS (321-4267)

Qty Code Title Price Total $ $

Optional delivery by air to foreign ad~esses, add $6.50 per copy. Residents of Canada, please include 7% GST. Total due $

NOTI _Check or Money Order VISA MasterCard

Card Number ______Expiration Date.______

Signahrre------~------

CHARGE BY PHONE IN THE UNITED STATES AND CANADA 800-321-4AMS (321-4267)

Customers in these areas should request price information and order directly from the indicated distributors: EUROPE, MIDDLE EAST, AFRICA: Oxford University Press, Walton Street, Oxford OX2 6DP England, Tel: 0865 56767, Telefax 0865 56646, Telex 837330 OXPRES G; exclusive distributor of AMS books. JAPAN: Maruzen Co. Ltd., P. 0. Box 5050, Tokyo Intemational100-31, Japan. Tel. Tokyo 03-3272- 7211, Telex J26516; exclusive distributor of AMS books and journals. INDIA: Allied Publishers Pvt. Ltd., 15, J. N. Herdia Marg., Ballard Estate, Bombay 400038, India; exclusive distributor of AMS books.

Publications, videotapes, and miscellaneous items are sent via UPS to U.S. residential Please send me information addresses, RPS or UPS to U.S. business addresses, and as printed matter elsewhere unless another about AMS membership delivery method is requested. Charges for surface delivery are paid by the AMS. For air delivery outside the U.S., please include an additional $6.50 per item. Software is sent via UPS Second __ individual membership Day Air to U.S. addresses and via U.S. Postal Service air parcel post to addresses outside the __ institutional membership United States. Add shipping and handling for software: $8 per order in the U.S. and Canada; outside the U.S. and Canada $35 per order ($15 per order for AMS-TeX and/or AMSFonts only). __ corporate membership Journal back numbers, Mathematical Reviews indexes, and review volumes are sent via surface institutional associate mail to any destination unless air delivery is requested. Postage for surface mail is paid by the AMS. Air delivery rates, which will be quoted upon request, must be paid by the purchaser. Staple here

Fold here ···············································································································································

NO POSTAGE NECESSARY IF MAILED IN THE UNITED STATES BUSINESS REPLY MAIL FIRST-CLASS MAIL PERMIT NO. 554B PROVIDENCE, R1

POSTAGE WILL BE PAID BY ADDRESSEE

Membership and Customer Services AMERICAN MATHEMATICAL SOCIETY P. 0. Box 6248 Providence, RI 02940-9943

············································································································································ Fold here

Fasten PAYMENT securely Change of Address Members of the Society who move or who change po­ of members' honors, awards, and information on Society sitions are urged to notify the Providence Office as soon service. Information of the latter kind appears regularly as possible. in Notices. Journal mailing lists must be printed four to six weeks When changing their addresses, members are urged to before the issue date. Therefore, in order to avoid dis­ cooperate by supplying the information requested below. ruption of service, members are requested to provide the The Society's records are of value only to the extent that required notice well in advance. they are current and accurate. Besides mailing addresses for members, the Society's If your address has changed or will change within the records contain information about members' positions next two or three months, please fill out this form, supply and their employers (for publication in the Combined any other information appropriate for the AMS records, Membership List). In addition, the AMS maintains records and mail to the address given below.

Name:----'------Customer code:------

Change effective as of:------

Old mailing address:------­

NEW mailing address:------.,.------

New position:------If mailing address is not that of your employer, please supply the following information:

New employer:------

Location of employer:------City State/Province Country Zip Code

Telephone number(s): ------

Electronic address(es): ------

Recenthonorsandaward~------

Personal items for publication in Notices: ------

Mail completed form to: Customer Services, AMS, P.O. Box 6248, Providence, RI 02940 or send the above information by e-mail to: [email protected] or [email protected] Staple here

Fold here

,......

NO POSTAGE NECESSARY IF MAILED IN THE UNITED STATES BUSINESS REPLY MAIL FIRST-CLASS MAIL PERMIT NO. 554B PROVIDENCE, RI

POSTAGE WILL BE PAID BY ADDRESSEE

Membership and. Customer Services AMERICAN MATHEMATICAL SOCIETY P. 0. Box 6248 Providence, RI 02940-9943

············································································································································ Fold here

Fasten PAYMENT securely TRANSLATIONS OF MATHEMATICAL MONOGRAPHS

Typical Singularities of Differential 1-Forms and Pfaffian Equations M. Ja. Zhitomirskii Volume 113

In addition to collecting results on the geometry of singularities and classification of differential forms and Pfaffian equations, this monograph discusses applications and closely related classification problems. Zhitomirskil presents proofs with all results and ends each chapter with a summary of the main results, a tabulation of the singularities, and a list of the normal forms . The main results of the book are also collected together in the introduction.

1991 Mathematics Subject Classification: 58; 35, 53, 93 ISBN 0-8218-4567-5, 176 pages (hardcover), December 1992 Individual member $70, List price $116, Institutional member $93 To order, please specify MMON0/113NA

Diffusion Equations Seizo Ito Volume 114

This book presents a self-contained exposition of the theory of initial-boundary value problems for diffusion equations. Intended as a graduate textbook, the book is of interest to mathematicians as well as theoretical physicists. Because it uses as little knowledge of functional analysis as possible, the book is accessible to those with a background in multivariable calculus, elementary Lebesgue integral theory, and basic parts of the theory of integral equations. Ito treats diffusion equations with variable coefficients associated with boundary conditions and the corresponding elliptic differential equations.

1991 Mathematics Subject Classification: 35 ISBN 0-8218-4570-5, 225 pages (hardcover), December 1992 Individual member $56, List price $93, Institutional member $74 To order, please specify MMON0/114NA

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. Proceedings of Symposia in APPLIED MATHEMATICS

Volumes 45 & 46

New Scientific Applications of Geometry and Topology De Witt L. Sumners, Editor

Based on an AMS Short Course held in January 1992, this book contains articles by a c hemist and a biologist about mathematics, and l four articles by mathematicians writing about science. All are exposi­ { tory and require no specific knowledge of the science and mathematics involved. Because this book communicates the excitement and utility of mathematics research at an elementary level, it is an excellent textbook in an advanced undergraduate mathematics course. 1991 Mathematics Subject Class!fication: 53, 57; 82, 92 ISBN 0-8218-5502-6, 250 pages (hardcover}, November 1992 List price $49, Individual member $29, Institutional member $39 -~- - To order, please specify PSAPM/45NA

The Unreasonable Effectiveness of Number Theory Stefan A. Burr, Editor

This book is based on the AMS Short Course, The Unreasonable Effectiveness of Number Theory, held in Orono, Maine, in August 1991. This short course provided some views into the great breadth .of applications of number theory outside cryptology and highlighted the power and applicability of number theoretic ideas. This book will appeal to a general mathematical audience as well as to researchers in other areas of science and engineering who wish to learn how number theory is being applied outside of mathematics. All of the chapters are written by leading specialists in number theory and provide excellent introductions to various applications. 1991 Mathematics Subject Class!fication: 11 ISBN 0-8218-5501-8, 125 pages (hardcover}, November 1992 List price $37, Individual member $22, Institutional member $30 To order, please specify PSAPM/46NA

All prices subject to change. Free shipment by surface; for air delivery, please add $6.50 per title. Prepayment required. Order from: American Mathematical Society, P.O. Box 5904, Boston, MA 02206-5904, or call toll free 800-321-4AMS in the U.S. and Canada to charge with VISA or MasterCard. Residents of Canada, please include 7% GST. Kazhdan-Lusztig Theory and Related Topics Vinay Deodhar, Editor This book is perhaps the first to discuss all aspects of the theory and will give readers a flavor of the range of topics involved. The articles present recent work in Kazhdan­ Lusztig theory, including representations of Kac-Moody Lie algebras, geometry of Schubert varieties, intersection cohomology of stratified spaces, and some new topics such as quantum groups.

1991 Mathematics Subject Classification: 14, 17, 20, 22; 51, 55 ISBN Q-8218-515o-o, 277 pages (softcover), December 1992 Individual member$28, Listprice$46,1nstitutional member$37 Toorder,pleasespecifyCONM/139NA

Geometric Analysis · Eric L. Grinberg, Editor This volume contains the refereed proceedings of the Special Session on Geometric Analysis held at the AMS meeting in Philadelphia in October 1991. The papers in this Geometric Analysla collection should help to better define the notion of geometric analysis by illustrating emerging trends in the subject. Containing articles varying from the expository to the techni­ cal, this book presents the latest results in a broad range of analytic and geometric topics.

1991 Mathematics SubjeCt Classification: 53, 58, 52, 44 ISBN G-8218-5153-5, 167 pages (softcover), December 1992 Individual member$24,.Ustprice$40,1nstitutional member$32 To order, pleasespecifyCONM/140NA

All prices subject to change. Free shipment by surface: for air delivery, please add $6.50 per title. Prepay­ ment required. Order from: American Mathematical Society, P.0. Box 5904, Boston, MA 02206-5904, or call toll free 800-321-4AMS in the U.S. and Canada to charge with VISA or MasterCard. Residents of canada, please include 7"k GST. AMS Electronic Reference Collection-Choose Your Format

MathSci® Disc-Mathematical Reviews (MR) and Current Mathematical Publications ( CMP) are updated regularly and delivered on high quality SilverPlatter CO's. Abstract and review text is available and searchable from 1980 up to the present for use on a PC or Macintosh. And the MR Index archival disc provides an index to articles reviewed from 1940-1979.

Powerful and easy to use. • Search by author, title, or over 20 other fields. • Over 1 ,000,000 records and references will be yours.

MathSci® Online-You can immediately access evaluative reviews and ab­ stracts of the world's literature on mathematics, statistics, computer science, and their applications, including operations research, econometrics, engineering, physics, biology and many other related fields. Anyone with a personal computer and modem or an Internet account can easily access this online interactive database.

MathSci Online includes information published in the following printed publications: • Mathematical Reviews dating back to 1940, with reviews from 1980 forward. • Current Mathematical Publications • Current Index to Statistics (American Statistical Association and the Institute of Mathematical Statistics) • Index to Statistics and Probability from 1910-1968 (from the information access series) • Computing Reviews and ACM Guide to Computing Literature (Association for Computing Machinery) • Technical Reports in Computer Science (Stanford University)

MathSci Online is available on DIALOG, the European Space Agency (ESA-IRS), and NACSIS (Japan). Both DIALOG and ESA can be accessed via the Internet.

MathSci<~ Tapes-All the information from MathSci Online is also available for lease on magnetic tape. Updates are provided monthly in ASCII format. Current and retrospective files are available. Retrieval software is not included.

For more information call or write: American Mathematical Society 1-800-321-4AMS (North America) Database Services 1-401-455-4166 (elsewhere) Post Office Box 6248 ·[email protected] (Internet) Providence,. Rl 02940 USA 1-401-455-4004 (fax)

DIALOG information: 1-800-3DIALOG ESA-IRS information: 39(6)941801 NACSIS information: 81-3-3942-2351 Mathematica ·

THE DEFINITIVE SYSTEM FOR TECHNICAL COMPUTATION

"Not merely a product but a revolution" ming constructs. Transformation rules and pat­ -Macworld tern matching. Fully compatible on all pladonns. No built-in lintitations on computation size. "The importance of the program cannot

be overlooked" , • Programming -New York Times loq[l) • 0 log(Bl = 1 log(x_ y _ ] : • log(xl + log[y] log(X_ "'n_ ) ;z n log[x] log' [x_ ] = l /x (* derivative •) Basic function: Integrated environment for log/: InversaPunction(l·og) • exp numerical, symbolic, graphical computation, l og/: serias[log[X_ ], (x_ . 1 , n ....)J :"' su.m[-(-l)"k (x-1) "k/k, (k, 1, n}] + interactive programming. O[x, 1] "(n+l) Users: Scientists, engineers, mathematicians, programmers, financial analysts, students. External interface: Input of data (numbers, Over 150,000 worldwide. Includes all 50 records, text) from files, programs. Output in largest U.S. universities. TeX, C, Fonran; PostScript. Calling of external Numerical computation: Arbitrary-preci­ programs and functions. General MathLin f<® sion arithmetic, complex numbers, special interprocess·communication mechanism. functions (hypergeometric, elliptic, etc.), com­ User interface: Electronic book interaCtive binatorial and integer functions. Matrix opera­ documents mixing text, graphics, animations, tions, root finding. function fitting. Fourier calculations. Graphics, animation, sound in­ transforms, numerical integration, numerical terapplication compatibility. Style sheets, hi­ solution of differential equations, function erarchical outlining. Computation kernel can minimization, linear programming. run on remote computer (most versions). Additional material: Journal. newsletters, • N••merical Computation more than 30 books. Add-on packages, free 3"'70 MathSourcenl electronic resource. &..<{!,. 25 03155504 9932 4 160131557198608584 9 rl. Versions: Macintosh ~ Microsoft Windows • Hyperqeometric2Pl[7, 5, 4.1, 3 -IJ MS-DOS • NEC PC • DEC RISC, VAX • HP • IBM RISC • MIPS • NeXT • SGI • Sony • -0 . 004 03761 - 0 . 00295663 I ll . SPARC, Sun-3 • CONVEX and others • Net­ work licensing available. Student versions. Symbolic computation: Equation solving, Now shipping Version 2.1. symbolic integration, differentiation, power series, limits. Algebraic operations, poljinonti­ For the latest information call Wolfram Research at: al expansion, factorization, simplification. Op­ 1-800-441-MATH erations on matrices, tensors, lists, strings.

• Symbolic Computation ]

IntQOrate [x I {a + B:xp [x) l, x) l

i x Log{l + fJ PolyL.og[2, -(f) J I 2a · a

Graphics and sound: 2D, 3D plots of func­ tions, data, geometrical -objects. Contour, density plots. 3D rendering with intersecring surfaces, lighting models, symbolic descrip­ Wolfram Research Wolfram Research, Inc. tions. Color PostScript output, com bitting and 100Trade Center Drive. Champaign, 1l61820-7237. USA labeling, publication quality graphics, anima­ +1 -217-398-0700; fax: +1-217-398-0747; email: [email protected] tion (most versions). Sound from waveforms and data (most versions). Wolfram Research Europe ltd. (European inquiries) Even]ode Court, Main Road. long Hanboiuugh, Oxon OXB ZLA. UK Programming: High-level, interactive, symbol­ +44-(0)993-8834oo; fax.: t44-(0)993-883ro); !!mail:infcr.euro@wri .com ic language. Procedural and functional program- Represe"ntatives in over 30 coontries; contact main office. SPRINGER FOR MATHEMATICS

S. LANG, Yale University. New Haven. CT C. CASACUBERTA, Universitat de Z.-M. MA, Institute of Applied Mathematics. Barcelona. M. CASTELLET, Universitat Academia Sinica, Beijing, China, REAL AND FUNCTIONAL Autonoma de Barcelona. Bellaterra (Eds.) M. ROcKNER, University of Bonn, Germany ANALYSIS MATHEMATICAL INTRODUCTION TO This book is meant as a text for a RESEARCH TODAY AND THE THEORY OF first-year graduate course in analysis and is treated in a manner suitable for TOMORROW: (NON-SYMMETRIC) people who will be using it in further Viewpoints of Seven Fields Medalists DIRICHLET FORMS mathematical investigations. The In many fields of scientific research. purpose of this book is to give book begins with point-set topology. the highest distinction is the Nobel The introduction to the moves into Banach and Hilbert spaces Prize. In mathematics, there is no a streamlined of (not necessarily symmet­ and then turns to the subject of Nobel Prize, however. the Fields theory ric) Dirichlet forms on general state integration and mea~ure. It covers Medal awarded every 4 years for It includes both the analytic duality and representation theorems. "Outstanding Discoveries in Math­ spaces. components of the applications such as Dirac sequences ematics" carries similar prestige and probabilistic A substantial part of the book and Fourier transforms. integration and distinction. In this book, 7 Field theory. for a one-year graduate and measures on locally compact Medalists explain their view of the is designed covering both the well­ spaces. the Riemann-Stjeltes integral, current development of research in course: studied "classical" theory of regular distributions, integration on locally their respective fields. The material forms on locally compact compact groups and differential originates in lectures given at a June Dirichlet state spaces and all recent extensions calculus. Functional analysis; a 1991 Symposium at the Institut state spaces. discussion of compact and Fredholm d'Estudis Catalans, Barcelona, to infinite-dimensional 1992/209 pp./Softcoverj$39.00 operators, and spectral theorems for Spain, on the "Current State and are covered. The ISBN 0-387-55848-9 Hermitian operators Prospects of Mathematics." All UNIVERSITEXT final part, on global analysis, provides papers are expository. Some parts an introduction to differentiable include precise technical statements A.T. FOMENKO, Moscow University, Russia manifolds. The text includes worked of recent results, but the greater part examples and numerous exercises. It consists of narrative text addressed VISUAL GEOMETRY AND is organized so that chapters are as to a very broad mathematical public. TOPOLOGY independent as possible, allowing a A transcription of a round-table Mathe~6Call~gesin course to omit material from some discussion held during the sympo­ the Real World chapters without compromising the sium is also included. The book will exposition of material from later appeal to every mathematician and This book narrates, in an accessible chapters. graduate student of mathematics, and and visual language, some classical 1993/app. 600 pp., 30 illus./Hardcover provides a fascinating insight and and modem achievements of $49.50/ISBN 0-387·94001-4 commentary on present-day geometry and topology. Fomenko GRADUATE TEXTS IN MATHEMATICS, VOL.142 mathematics as a growing and lays special emphasis upon visual moving research discipline. explanations which includes G.E. BREDON, Rutgers University, sheets drawn by the author. CONTENTS: R. Thorn: Leaving graphical Piscataway, NJ Mathematics for Philosophy Although about mathematics. the TOPOLOGY AND GEOMETRY • S. Novikov: Role of Integrable book is written and illustrated so Models in the Development of everyone will find something of A textbook for a first-year graduate Mathematics • S.-T. Yau: The Current interest within its pages. course on algebraic topology. which State and Prospects of Geometry and has a strong flavoring in smooth Nonlinear Differential Equations 1993/app. 344 pp., 337 lllus./Hardcover 0-387-53361·3 manifold theory. Starting with • A. Connes: Noncommutative $89.00/15BN general topology. it discusses Geometry • S. Smale: Theory of differentiable manifolds. cohomo­ Computation • V. Jones: Knots in logy. products and duality. the Mathematics and Physics • G. Failings: fundamental group. homology Recent Progress in Diophantine ORDER TODAY!: Geometry theory. and homotropy theory. CALL Toll-Free 1-800-5PRINGE(R): 1-800- It covers many of the topics all 1992/112 pp./Softcover /$23.00 777-4643.1n NJ call 201-348-4033 (8:30 topologists will want students to see. ISBN 0-387-56011-4 AM - 5:30 PM EST). Your reference num­ VOL. 1525 including surfaces. Lie groups. and LECTURE NOTES IN MATHEMATICS. ber is S261. baby bundle theory. With a modem WRITE: Send payment plus $2.50 for point of view, it is truly the first new shipping and handling for first book textbook in topology since Spanier. and $1.00 for each additional book to: written almost 25 years ago. Al­ Springer-Verlag New York, Inc .. though the book is comprehensive. Dept. 5261. New York, PO Box 2485. there is no attempt to present the Secaucus. NJ 0709&2491. CA. NY, NJ, material in its most general form. MA, PA, VA, or VT residents add sales except where generality improves tax. Canadian residents add 7% GST. the efficiency and clarity of the VISIT: your local technical bookstore. presentation. INS11IUCTOIIS: Call or write for informa­ 1993/app. 560 pp., 85 illus./Hardcover tion on textbook examination copies! $69.00(tent.)/ISBN 0-387-97926-3 3/93 REFERENCE #: 5261 GRADUATE TEXTS IN MATHEMATICS, VOL.139