TICE OF l'HE
MATHEMATICAL SOCIETY
International Congress of Mathematicians Kyoto, Japan page 1209
1990 Annual AMS-MAA Survey page 1217
NOVEMBER 1990, VOLUME 37, NUMBER 9 Providence, Rhode Island, USA ISSN 0002-9920 Calendar of AMS Meetings and Conferences
This calender lists ail meetings which have been approved prior to Mathematical Society in the issue corresponding to that of the Notices the date this issue of Notices was sent to the press. The summer which contains the program of the meeting, insofar as is possible. and annual meetings are joint meetings of the Mathematical Associ Abstracts should be submitted on special forms which are available in ation of America and the American Mathematical Society. The meet many departments of mathematics and from the headquarters office ing dates which fail rather far in the future are subject to change; this of the Society. Abstracts of papers to be presented at the meeting is particularly true of meetings to which no numbers have been as must be received at the headquarters of the Society in Providence, signed. Programs of the meetings will appear in the issues indicated Rhode Island, on or before the deadline given below for the meet below. First and supplementary announcements of the meetings will ing. Note that the deadline for abstracts for consideration for pre have appeared in earlier issues. sentation at special sessions is usually three weeks earlier than that Abstracts of papers presented at a meeting of the Society are pub specified below. For additional information, consult the meeting an lished in the journal Abstracts of papers presented to the American nouncements and the list of organizers of special sessions. Meetings
Abstract Program Meeting# Date Place Deadline Issue 863 t January 16-19, 1991 San Francisco, California Expired December (97th Annual Meeting) 864 tt March 15-16, 1991 South Bend, Indiana January 3 March 865 • March 22-23,1991 Tampa, Florida January 3 March 866 • June 13-15, 1991 Portland, Oregon March 26 MayfJune 867 • August 8-11, 1991 Orono, Maine May 29 July I August (94th Summer Meeting) 868 • October 12-13, 1991 Philadelphia, Pennsylvania August 1 October 869 • October 25-26, 1991 Fargo, North Dakota August 1 October 870 • November 9-11, 1991 Santa Barbara, California August 1 October 871 • January 8-11 , 1992 Baltimore, Maryland October 2 December (98th Annual Meeting) March 13-14, 1992 Tuscaloosa, Alabama tt March 20-21, 1992 Springfield, Missouri June 29-July 1, 1992 Cambridge, England (Joint Meeting with the London Mathematical Society) January 13-16, 1993 San Antonio, Texas (99th Annual Meeting) August15-19, 1993 Vancouver, British Columbia (96th Summer Meeting) (Joint Meeting with the Canadian Mathematical Society) January 12-15, 1994 Cincinnati, Ohio (100th Annual Meeting) January 10-13, 1996 Orlando, Florida (102nd Annual Meeting) • Please refer to page 1274 for listing of Special Sessions. t Preregistration/Housing deadline is November 16 tt These dates are earlier than previously published. Conferences
January 14-15, 1991: AMS Short Course on Probabilistic July 7-26, 1991: AMS Summer Research Institute on Combinatorics and Its Applications, San Francisco, Algebraic Groups and their Generalizations, location to be California. announced. June 22-August 2, 1991: Joint Summer Research Conferences in the Mathematical Sciences, University of Washington, Seattle, Washington. Deadlines
January Issue February Issue March Issue April Issue Classified Ads* December 6, 1990 January 10, 1991 January 31, 1991 February 28, 1991 News Items November 28, 1990 January 2, 1991 January 22, 1991 February 21, 1991 Meeting Announcements•• November 29, 1990 January 7, 1991 January 24, 1991 February 25, 1991 • 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
ARTICLES DEPARTMENTS
1207 Letters to the Editor 1209 ICM-90 1252 Forum This article contains an overview of ICM-90 and brief discussions of the works of the Fields Medalists and the Nevanlinna Prize recipient. 1264 News and Announcements 1267 Funding Information for the 1217 1990 Annual AMS-MAA Survey First Report Mathematical Sciences The first report on the 1990 Survey includes the 1990 survey of new 1269 1991 AMS Elections doctorates, starting salaries of new doctorates, faculty salaries, and a list 1272 Meetings and Conferences of the of names and thesis titles for members of the 1989-1990 Ph.D. class. AMS San Francisco, CA 1251 The David II National Plan January 16-19, 1272 The David II Report will have impact only if it is widely distributed and if Invited Speakers, 1274 individuals in the community are able to use the report effectively in Joint Summer Research their own institutions. To address this issue, the Board on Mathematical Conferences in the Mathematical Sciences has developed a dissemination plan for the report, which is Sciences, 1278 described in this article by Allyn Jackson. 1282 Mathematical Sciences Meetings and Conferences FEATURE COLUMNS 1290 New AMS Publications 1294 AMS Reports and 1254 Computers and Mathematics Jon Barwise Communications Reports of Past Meetings, 1294 This month's column contains two articles that show, in quite different ways, the profound influence that computers can have on mathematicians 1295 Miscellaneous and mathematics. The first, by Wilfrid Kendall, has to do with computers Personal Items, 1295 and stochastic calculus. The second, by Keith Devlin, is a response to Deaths, 1295 Barwise's editorial (October Notices, p. 1016} about the problems in our Visiting Mathematicians, 1295 research universities in keeping teaching and research in balance. 1296 New Members of the AMS 1299 Classified Advertising 1260 Inside the AMS 1331 Forms Taissa T. Kusma, Manager of Database Services, describes the development of MathSci over the last decade and the role of the AMS in its development, distribution and user support.
NOVEMBER 1990, VOLUME 37, NUMBER 9 1205 From the Executive Director ...
ELECTRONIC INFORMATION
AMERICAN MATHEMATICAL SOCIETY One of the central activities of the Society is facilitating the exchange of mathematical information. Traditionally, this has taken place through meet ings and publications. Today, however, the advent of computer technology is redefining the Society's role in facilitating information exchange.
EDITORIAL COMMITTEE This is a challenging, exciting, and costly effort; and not everyone agrees on Robert J. Blattner (Forum Editor) Michael G. Crandall exactly what is challenging, what is exciting, or who ought to pay the cost. For Robert M. Fossum (Chairman) example, it is very easy to imagine an electronic information system where Lucy J. Garnett, D. J. Lewis all one must do to accomplish "perfect" results is A, B, and C. But typically Nancy K. Stanton one finds that A is very time consuming, B is prohibitively expensive, and C Robert E. L. Turner (Letters Editor) cannot be done. MANAGING EDITOR Donovan H. VanOsdol Many in our community are not excited by electronic media. Indeed, it can be ASSOCIATE EDITORS quite frustrating to grope with the intricacies of operating system commands, Ronald L. Graham, Special Articles scanning screens of information, to have a machine make you feel stupid Jeffrey C. Lagarias, Special Articles when you have given it a perfectly logical command (unfortunately using SUBSCRIPTION INFORMATION your own form of logic), or to stare at screen after screen of TEX coding Subscription prices for Volume 37 (1990) are without proper equipment or software to view the typeset result. Nonetheless, $113 list: $90 institutional member: $68 individual electronic information exchange is a powerful tool that can be brought to the member. (The subscription price for members is science of mathematics. The role of the AMS is to develop ways to facilitate included in the annual dues.) A late charge of the community's use of this tool. 10% of the subscription price will be imposed upon orders received from nonmembers after January 1 of the subscription year. Add for post One of the most important services provided to the mathematical community age: Surface delivery outside the United States by the Society is Mathematical Reviews (MR), with nearly 55,000 reviews and lndia-$11: to lndia-$22; expedited deliv annually, and Current Mathematical Publications (CMP), with nearly 58,000 ery to destinations in North America-$24: else entries annually. Together the databases for the two publications, going back where-$49. Subscriptions and orders for AMS publications should be. addressed to the Amer to 1940 (not all of which is in electronic form), constitute the MR Database. ican Mathematical Society, P.O. Box 1571, An A good portion of the MR Database is available electronically both "on-line" nex Station, Providence, Rl 02901-1571. All or and on CD-ROM (Compact Disc) through MathSci (sec the Inside the AMS ders must be prepaid. department in this issue for a brief history of MathSci). The AMS develops ADVERTISING and maintains electronically the Combined Membership List (CML), and Notices publishes situations wanted and classi publishes the World Directory of Mathematicians. The AMS now has full fied advertising, and display advertising for pub time staff committed to the collection, analysis, and maintenance of several lishers and academic or scientific organizations. of the professional data surveys. These are the sources of the regular AMS Copyright @ 1990 by the American Mathemat ical Society. All rights reserved. Printed in the Survey Reports in Notices; it is hoped that bringing this activity under the United States of America. Society will lead to the development of a useful electronic database. And, of The paper used in this journal is acid-free and course, the Society is closely identified with the support of TEX as a coding falls within the guidelines established to ensure and typesetting language for mathematics; the Society both develops and permanence and durability. §Most of this publi delivers software and documentation for TEX. cation was typeset using the TEl( typesetting sys tem. The Society's newest electronic information venture is known as e-MATH. (Notices of the American Mathematical Society is This is what I call a centrally located information node-an electronic bul published monthly except bimonthly in May, June, July, and August by the American Mathemati letin board service-on the Internet. You may have seen announcements cal Society at 201 Charles Street, Providence, Rl about e-MATH in previous issues of Notices. Supported by the NSF and 02904-2213. Second class postage paid at Prov AMS, e-MATH became available this October 15. Its central features are: idence, Rl and additional mailing offices. POST a name server, which allows access to the CML; electronic bulletin boards, MASTER: Send address change notices to No including "moderated boards" (precursors to electronic journals in which tices of the American Mathematical Society, Cus tomer Service Department, American Mathemati moderators will have duties similar to those of journal editors); on-line con cal Society, P. 0. Box 6248, Providence, Rl 02940- ferencing; mathematically-oriented databases; software libraries; and docu 6248.] Publication here of the Society's street ment delivery. As the latest effort in the Society's commitment to the delivery address, and the other information in brackets of mathematical information, e-MATH is an exciting step in electronic ex above, is a technical requirement of the U. S. Postal Service. All correspondence should be change of information. mailed to the Post Office Box, NOT the street William Jaco address.
1206 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY lars. But does the emperor have mention a panel sponsored by the Letters clothes? AMS-MAA Committee on Employ Joseph Lipman ment and Educational Policy, to be to the Editor Purdue University held at the January 1991 Joint Math (Received September 5, 1990) ematics Meetings in San Francisco, entitled "The Employment Process: EDITOR'S NOTE: Edward A. Con How Can We Do Better?" Impending Shortage nors, in his capacity as chair of the Edward A. Connors of Mathematicians? committee that oversees the AMS Chair of AMS-MAA Data There have been numerous state MAA Annual Survey and as author Committee and Chair of ments in Notices about an impending of the recent reports in Notices on the AMS-MAA Committee on shortage of mathematicians in this survey, was contacted by the editors Employment and Educational Policy country. No doubt there are statis of Notices regarding the statements (Received September 9, 1990) tics to back these predictions up, but in the previous letter. He provided from my admittedly limited point the following comments: of view, things don't look that way. Quite the contrary - of 12 people All the predictions of shortages I who had essentially completed their have seen have been long-term, usu of the cen Policy on Letters to the Editor Ph.D. requirements in mathematics ally focused on the turn Letters submitted for publication in Notices at Purdue in June 1989, only about tury. Demographic reasons are usu are reviewed by the Editorial Committee, half got job offers, a number of which ally supplied to support the claims whose task is to determine which ones are were for somewhat exploitative one of pending shortfalls in the supply suitable for publication. The publication Five of the remaining of mathematicians, for example an schedule normally requires from two to year positions. in faculty, four months between receipt of the letter students chose to postpone getting aging mathematical sciences Providence and publication of the earliest their degrees, hoping for better luck coupled with increases in segments issue of Notices in which it could appear. this year; their plight was not re of the population traditionally un Publication decisions are ultimately flected in the annual Employment derrepresented in the production of made by majority vote of the Editorial Status survey. These five did get of doctoral scientists. For the short-term Committee, with ample provision for prior the increase discussion by committee members, by mail fers this year, but now there are five job prospects we have or at meetings. Because of this discussion more in the same position. in the number of employment seek period, some letters may require as much Our experience here may be ers because of the political events as seven months before a final decision is skewed by the fact that we have had in Eastern Europe and China, the made. Letters which have been, or may be, three U.S.-born Ph.D.'s in the downturn in the traditional college published elsewhere will be considered, but only be the effects of a the Managing Editor of Notices should past years (all of whom did get po age population, and informed of this fact when the letter is sub- sitions). But in my discussions with sluggish economy. The short-term sit mitted. colleagues from other highly-ranked uation might be somewhat alleviated The committee reserves the right to schools, the conclusion has invariably by a vigorous campaign by depart edit letters. that the job market seems tight ment heads and chairs to increase the Notices does not ordinarily publish been books or arti in the mathe complaints about reviews of for all but a few of the best. allocation of positions cles, although rebuttals and correspondence What these selected observations matical sciences at their own institu concerning reviews in Bulletin of the Amer suggest is that while there may well be tions, complemented by a concerted ican Mathematical Society will be consid too few native-born mathematicians national effort to increase the num ered for publication. All published letters the pipeline, there are still con ber of multi-year post-doctoral ap must include the name of the author. in and in legible Heads Letters should be typed siderably more qualified candidates pointments in mathematics. form or they will be returned to the sender, altogether than there are openings, at and chairs should also note with possibly resulting in a delay of publication. least in academic "core" mathemat considerable interest and attention Letters should be mailed to the Editor ics. the quality of advising and counsel of Notices, American Mathematical Soci A shortage of mathematicians ing provided for their own students ety, P.O. Box 6248, Providence, RI 02940, mar or sent by email to [email protected], would indeed be a serious national who are about to enter the job and will be acknowledged on receipt. matter, calling for more federal dol- ket for the first time. In closing, I
NOVEMBER 1990, VOLUME 37, NUMBER 9 1207 American Mathematical Society
Position Open
The American Mathematical Society is seeking applications and nominations of candidates for an open position of Associate Executive Director of the Society.
Much has been written recently about concerns of maintaining the vitality of mathematics research in this country and renewing the mathematical sciences research enterprise. These concerns are often coupled with those indicating a need for reform in mathematics education. The Society is committed to lending its prestige and resources to assist in addressing these concerns. To this end, the Society is developing a plan of programmatic initiatives in the mathematical sciences.
The person filling this position will work in the Society's Providence office with the Executive Director and be responsible for the development and administration of the programmatic activities of the Society, as well as serving as Managing Editor of Notices. The Associate Executive Director will assist in all phases of these initiatives and, as such, will work with the AMS Board of Trustees, Council, committees, and staff; as well as governmental agencies, corporations and foundations, professional societies. and mathematicians throughout the world. As Managing Editor of Notices, the Associate Executive Director works closely with the Secretary of the Society and the Notices Editorial Committee.
The Society is seeking a candidate who is sensitive to the concerns of the mathematical research community and understands the need for involvement of research mathematicians in addressing the broad issues of the profession. Such a candidate should
• have earned a Ph.D. in one of the mathematical sciences • have a good command of the English language and be capable of writing well and easily • have an interest in administration and an ability to work harmoniously with mathematicians and nonmathematicians alike • be familiar with national issues and activities that impact on the mathematics profession.
The initial appointment will be for two years and can be continued thereafter on an indefinitely renewable term or continuing basis.
Applications and nominations should be sent to:
Dr. William H. Jaco Executive Director American Mathematical Society P.O. Box 6248 Providence, R.I. 02940
Completed applications and appropriate letters of reference received by 31 December 1990 will be assured of full consideration. It is desirable that duties begin as soon as possible and hopefully before I July 1991.
The Society is an equal opportunity employer and has a generous fringe benefit program including TIAA/CREF. Salary for the position will be commensurate with the background of the appointee. ICM-90 Kyoto, Japan
polynomial invariants that grew out of his work on Editor's Note: This article contains an overview of operator algebras; ICM-90 and brief discussions of the works of the Fields Medalists and the Nevanlinna Prize recipient. SHIGEFUMI MORI of the Research Institute for Math ematical Sciences, Kyoto, for his work on the classi ICM-90 fication of 3-folds; The International Congress of Mathematicians, 1990, EowARD WITTEN of the Institute for Advanced (ICM-90) was held from August 21-29, at the Kyoto Study, Princeton, for his work connecting theoretical International Congress Hall, Kyoto, Japan. The KICH is physics to modern mathematics. a modern building in the northern part of Kyoto, well designed for a large conference; it was crowded but not Laszlo Lovasz, Chairman of the Committee to award the overwhelmed by the nearly four thousand mathemati Nevanlinna Prize, announced that the winner was cians who attended. On opening day bus service was provided from the downtown hotels and on other days ALEXANDER RAZBOROV of the Steklov Institute, there was frequent charter bus service to and from the Moscow, for his proof that the number of and North Kyoto bus and subway terminal. and or- gates required to compute certain natural At the Opening Ceremony on August 21, Professor monotone Boolean functions grows faster than any Hikosaburo Komatsu of the University of Tokyo took polynomial in the number of arguments. the chair as President of the Congress and welcomed The prizes were then presented by the Minister of the mathematicians to Japan. The Minister of Education Education. of Japan, the Governor of Kyoto Prefecture, the Mayor In the afternoon descriptions of the work of the prize of Kyoto, and the President of Kyoto University also winners were given. Joan Birman spoke about the work addressed the meeting. It was announced that a special of Vaughan Jones, Michio Jimbo read Yuri Manin's ap stamp memorializing the Congress had been printed and praisal of Drinfel' d's work, Heisuke Hironaka described a representative of the Minister of Telecommunications Mori's contributions, Ludwig Faddeev discussed Wit presented the first sheet of stamps to President Ko ten's work, and Laszlo Lovasz explained Razborov's. At matsu. Two performances of traditional Japanese dance the end of the day there was a reception in the Event accompanied by musicians from Kyoto University were Hall of the KICH that gave everyone a chance to meet presented. and make friends. The climax of the opening ceremony was the award of The following days were filled with mathematics. the Fields Medals and the Nevanlinna Prize. Academi There were 15 plenary talks given in the mornings and cian Ludwig Faddeev, President of the International 145 sectional talks given in parallel sessions in the after Mathematical Union and Chairman of the Fields Medal noons. It is a pleasure to report that no invited speaker Committee, announced that the medalists were: failed to appear for political reasons. On the 29th, there VLADIMIR DRINFEL1D of the Physio-Technical Insti were three plenary speakers followed by a brief closing tute of Low Temperature Physics in Kharkov, for ceremony at which Academician Faddeev reported on his work on quantum groups and for his work in the meeting of the International Mathematical Union number theory; (IMU) which had taken place in Kobe on the 18th and 19th. The most important outcome of that meeting was VAUGHAN JoNES of the University of California, that IMU had accepted the invitation of Switzerland, Berkeley, for introducing into knot theory some new so that the next International Congress will take place
NOVEMBER 1990. VOLUME 37, NUMBER 9 1209 ICM-90 in Zurich in 1994. He also reported that the Emperor and Empress had received and congratulated the five prize winners at the Imperial Palace in Tokyo. Srishti Chatterji, the IMU delegate from Switzerland, invited everyone to come to Zurich in 1994. The Congress was formally adjourned by President Komatsu, who then invited all to attend a reception in the Event Hall. There were 24 separate specialized conferences that met either just before or just after the Congress at various cities in Japan. For accompanying members and mathematicians who wanted to take a break, there was a full supplementary program of tours to nearby points of interest, presenta tions of Japanese culture, and a concert of traditional music. The entire Congress ran smoothly. For this we owe a great debt to the members of the Organizing Committee who worked hard for the last four years. From the opening ceremony through the munificent spread at the final party, our Japanese colleagues were most gracious and genial hosts. Andrew M. Gleason Harvard University
Vladimir Drinfel' d
Drinfel' d defies any easy classification; it would be Fields Medals wrong to think of the works we have chosen to describe below as delimiting the profile of his mathematical inter ests. His breakthroughs have the magic that one would At the 1924 International Congress in Toronto, a resolution was expect of a revolutionary mathematical discovery: they adopted that at each international mathematical congress (two) have seemingly inexhaustible consequences. On the other gold medals should be awarded. Professor J.D. Fields, a Cana dian mathematician who was secretary of the 1924 Congress, hand, they seem deeply personal pieces of mathemat later donated funds establishing the medals which were named ics: "only Drinfel'd could have thought of them!" But in his honor. Consistent with Field's wish that the awards should contradictorily they seem transparently natural; once recognize both existing work and the promise of future achieve understood, "everyone should have thought of them!" ment, it was agreed to restrict the medals to mathematicians not Drinfel' d would enjoy his towering mathematical rep over forty years of age. In 1966, it was agreed that, in light of utation had he been responsible for only one of his the great expansion of mathematical research in the world, up magnificent achievements. To be specific, let us men to four medals could be awarded at each congress. tion Drinfel' d's encounter with the Langlands program. Drinfel' d solved Langlands' conjecture in a very special, but quite important case: GL 2 over function fields. In doing this, for example, he formulated the concept of an Vladimir Drinfel' d elliptic module. One feels that elliptic modules* should Vladimir Drinfel' d is a 36 year old mathematician. Sym have been discovered by the great mathematicians of bolic of the renewed interchange between mathematics the 191h century: they have already formed an important and physics, he is employed as a Senior Staff Member new branch of number theory with applications quite far at the Physio-Technical Institute of Low Temperature from Langlands' enterprise. Physics in Kharkov. Drinfel'd's interests can only be Let X be a complete smooth algebraic curve over a described as "broad." Not only do they span work in al finite field Fq admitting an Fq-rational point. Let K be gebraic geometry and number theory, but his most recent the field of fractions of X. The Langlands conjecture ideas have taken a strikingly different direction: he has asserts that there is a natural, one-one correspondence been doing significant work on mathematical questions between (A) and (B): motivated by physics, including the relatively new theory of quantum groups. *and, perhaps, Drinfel'd's more general theory of "Shtukas"
1210 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY ICM-90
(A) Compatible families of irreducible 1-adic N "self-dual" equations. At the time it was believed that no dimensional representations of Gal(K I K). Here other solutions existed, but recently Uhlenbeck and the compatible family means that you give an irreducible Sibners have found non-self-dual solutions. Drinfel' d's 1-adic N-dimensional representation for each prime interests in physics continued with his investigation of number I not dividing q, and these representations the Yang-Baxter equations with Belavin. Ultimately, this for different prime number I are required to have lead to Drinfel'd's constructing representations of the the property that the trace of any Frobenius element algebras associated with classical quantum groups, a field must be independent of I in an appropriate sense. in which he has been a consistent leader. Arthur Jaffe (B) Cuspidal automorphic representations of GLN Barry Mazur over K. Harvard University
The "one-one correspondence" between (A) and (B) Vaughan F. R. Jones is expected to be natural in the sense that the theory of In 1983 Vaughan Jones provided a startling discovery L-functions and the "E-factors" for (A) and for (B) are within the context of von Neumann algebras. Not only supposed to correspond. Before Drinfel'd's work, we had did his work open up entirely new directions within that (thanks to Grothendieck, Langlands, and Deligne) a way subject, but it was to have a profound effect on knot of passing from (A) to (B), for N = 2. It was a complete theory and exhibit strong connections with the study of mystery how to pass from (B) to (A). By Drinfel'd's Heeke algebras, quantum statistical mechanics, quantum theory we now can go from (B) to (A) in the function field theory and the prediction of DNA configurations field case. in certain biological interactions. One aspect of the With a completely different and utterly ingenious connection to physics was made by Witten, [ 11], who has argument (his vanishing cycles theorems), Drinfel'd was shown that some of the more recent developments on able to go from (A) to (B) in case N = 2, even if knots can be interpreted within the context of topological he were given just one and not a "compatible family" quantum field theory. of irreducible 1-adic (2-dimensional) representations of Gal(K I K). This completely settled the Langlands con jecture for N = 2, with a vengeance! As an immediate by-product, Drinfel' d finds that any single, irreducible /-adic 2-dimensional representation of Gal(K I K) occurs, after twist by a character, as a member of a compatible family of representations, and also yields the Ramanujan conjecture for cuspidal automorphic representations of GL2 over function fields. In the course of his work, Drinfel'd constructs the so-called Drinfel'd modular curves (and varieties) over X, as moduli spaces of elliptic modules. By studying the analytic properties of these modular curves (especially the p-adic analytic uniformization of them), Drinfel' d discovered his "upper-half-plane" and was led to develop his deep ideas concerning p-adic uniformization and the strange phenomenon known as the "Drinfel' d switch," where one can understand the "bad fibre" of a Shimura variety at a prime p, by understanding the bad fibre of another totally different Shimura variety at another prime q. This is used in an essential way by Ribet in his recent work on the Serre conjectures. Finally, we should mention Drinfel'd's pioneer ing work with Manin on the construction of instan tons. These are solutions to the Yang-Mills equations which can be thought of as having particle-like prop Vaughan F. R. Jones erties of localization and size. Using ideas from alge braic geometry, they complemented the work of Ward, The original motivation of Jones's work, [4], was Atiyah, and Hitchin to give explicit solutions for the to provide an analysis of subfactors of a I I 1 factor.
NOVEMBER 1990, VOLUME 37, NUMBER 9 1211 ICM-90
Factors of type I I 1 were discovered by Murray and ( 3) gJ = ( q - 1) gi + q' von Neumann. They are weakly closed, star algebras of operators on a Hilbert space, with center consisting of the scalars and supporting a finite, positive, trace functional. Such a factor provides a scale by which to measure the relative dimension of the Hilbert space, H, Thus within the {ei }-algebra, {1, e1, e2, ... }, we see the on which it acts. We write this number as dimN(H). In presence of a quotient of the Heeke algebra, H ( q, n) this case there are no restrictions on the number. Indeed (defined by relations (1), (2), and (3) for i = 1, 2, ... , it may vary continuously from 0 to x. Jones varied this n- 1). Having H(q,n) we also have a representation of idea and looked at a pair of factors, N c M considering the n-string braid group. Now each knot or link arises the dimension of M relative to its subfactor N. This as the closure of a braid. Moreover there is a similarity he defined as [M: N] = dimN(H)/ dimM(H), showing it between the defining properties of the trace and its to be independent of the Hilbert space. The importance Markov property in this setting with Markov moves of this idea became evident in the restrictions found on braids. As the latter gives link equivalence, Jones on the index. The allowable set of indices is precisely was led to look for a link invariant using the Markov {4cos 2(n/n),n 2: 3} and the interval [4,oc]. Moreover, trace on the {e i }-algebra. He was able to construct each of these instances was shown to occur for the the "Jones polynomial", VL(t), a Laurent polynomial hyperfinite factor, a fundamental object in the theory. associated to each oriented link. It then appeared that Many questions arose immediately. Before this work, knowledge gathered from understanding the algebraic classification of subfactors of a given factor seemed situation oft times translates into information about quite out of reach. Yet a vast amount of progress has knots, e.g., knowing the number of strings required to been made on this problem. By analogy with the theory represent a knot, [7]. of crossed products it is natural to ask what, if any, Other algebras yielded other invariants via this route additional restrictions occur if we ask that N' n M = CI including the two variable polynomial which specializes (If M is the crossed product of N by a finite group to both the Alexander and Jones polynomial. Interestingly action, this is asking for the action to be free.) While this enough this last was arrived at separately by specialists condition is automatic in the discrete range given above, in knot theory and in operator algebras. it is not in the continuous range. Again this is an object In [5], Jones provides detailed information about rep of much study and substantial progress. resentations of the braid group arising from the Heeke To understand the connection with knot theory we algebras of type A. Moreover, a penetrating analysis of consider the "basic construction". Consider N and M the two-variable and Jones polynomials appears there, acting on L 2(M), the Hilbert space of M formed using including discussion of connected sums, reversing ori the trace, tr(·). There one finds the projection eN onto entation, and mirror images. It is in this paper that the Hilbert space L 2(N). In essence this is the only a connection is pointed out with work in statistical given information. Now form the factor M 1 =< M, eN > mechanics, in particular the Potts model. generated by M and eN. It turns out that [M, : M] = Kauffman brought in further ideas from statistical [M: N] and tr(eN) = 1/[M: N], as long as the index is mechanics by constructing a "states" model of the Jones finite. The idea now is to continue the construction, ob polynomial, [ 10]. Jones extended this idea, but he opened taining a tower of algebras and a sequence of projections [9] a whole new direction upon realizing that under { ei }, with the following property: certain conditions solutions of the Yang-Baxter equations could be used for constructing invariants of links. These eiei±Iei =rei, where r = [M: Nr' equations arise, in particular, in Baxter's treatment [ 1,6] via transfer matrices of exactly solvable models. There and eieJ = eJei, if li- Jl 2: 2. they depend on a parameter, the spectral parameter, The algebra Mn in the tower possesses a trace extending which we include as a superscript. The equations are that on Mn-l and satisfying the Markov condition
tr(enx) = rtr(x), X E Mn-1· RiR) = R)Ri li- Jl 2: 2. The next point is to define gi = qei - ( 1 - ei) where 2 q q- 1 = [M: N]. We have + + One immediately notes a similarity with the braid ( 1) ifli-}12:2, group relations. This brought another direction into play, viz., quantum groups. The theory of quantum groups, non-commutative and non-cocommutative Hopf (2) algebras, was devised by Jimbo and Drinfel'd to produce
1212 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY ICM-90 solutions of the Yang-Baxter equations. Eventually it was University. Since 1987 he has spent one quarter of every seen that every irreducible representation of a simple Lie academic year at the University of Utah. algebra led, via this method, to a link invariant. In the setting of quantum field theory some recent work has focused on the study of superselection sectors with braid group statistics. In this context, Markov traces have arisen as well. All of this comes from considering a lower dimensional version of the theory of superselection sectors of Doplicher, Haag and Roberts. Vaughan Jones has shown himself to be a mathema tician of enormous vision and originality. His work has influenced many and we look forward, with anticipation, to future contributions. Richard H. Herman University of Maryland
References [I] R. J. Baxter, Exactly Solved Models in Statistical Me chanics, Academic Press, New York, 1982. [2] J. S. Birman, "The Work of Vaughan F. R. Jones," To appear in the Proceedings of ICM-90. [3] E. M. Goodman, P. De La Harpe, V. F. R. Jones, "Cox eter Graphs and Towers of Algebras," MSRI Publications, No. 15, Springer-Verlag, New York, 1989. [4] V. F. R. Jones, "Index for Subfactors," Invent. Math., 72 (1983), pp. 1-25. [5] V. F. R. Jones, "Heeke Algebra Representations of Braid Groups and Link Polynomials," Annals of Math., 126 ( 1987), Shigefumi Mori pp. 335-388. Mori has received several prizes in Japan in recog [6] V. F. R. Jones, Baxterization, in Yang-Baxter Equations, nition of his mathematical works: Yanaga Prize ( 1983), Conformallnvariance and Integrability in Statistical Mechanics and Field Theory, Ed. Michael N. Barber and Paul A. Pierce, Chunichi Culture Prize ( 1984), Japanese Mathematical World Scientific, Singapore, New Jersey, London, Hong Kong, Society Prize ( 1988), Inoue Prize ( 1989), and Japan 1990. Academy Prize ( 1990). He also received the Frank Nel [7] V. F. R. Jones, "A New Knot Polynomial and von Neu son Cole Prize of the American Mathematical Society in mann Algebras," Notices of the A.M.S., 33 ( 1986 ), pp. 219-225. 1990. [8] V. F. R. Jones, "Knot Theory and Statistical Mechanics," Mori's main research interest is the study of higher To appear in ScientUic American, November 1990. dimensional algebraic varieties. Algebraic curves, that [9] V. F. R. Jones, Notes on a talk in Atiyah 's seminar, is, compact Riemann surfaces, were well understood in (November 1986). the XIXth century. In dimensions two and higher, the [10] L. Kauffman, "A States Model for the Jones Polyno classical approach to understanding varieties has been to mial," Topology, 26 ( 1987), pp. 385-407. begin to study a variety X by trying to find a variety Y [II] E. Witten, "Quantum Field Theory and the Jones Poly nomial," Communications in Mathematical Physics, 121 ( 1989), such that Y is obtained from X by some understandable pp. 351-359. "surgery operations" and so that Y is "simpler" than X. The strategy is to understand X by first studying the "simpler" variety Y and then analyzing the "surgery Shigefumi Mori operations". Professor Shigefumi Mori was born February 23, 1951 The "surgery operations" necessary to this program in Nagoya, Japan. He received his BA ( 1973), MA occur in the context of what is called "bimeromorphic ( 1975) and Ph.D ( 1978) from Kyoto University, Japan. equivalence". Two algebraic varieties (or compact com He worked at Kyoto University ( 1975-1980), Nagoya plex manifolds) X and Y are said to be bimeromorphic University ( 1980-1990) and is currently at the Research if there is a (partially defined) map f: X -+ Y such that Institute for Mathematical Sciences at Kyoto. He held both f and J- 1 are meromorphic. visiting positions at Harvard University, the Institute for In dimension two, one can define "simpler" in topo Advanced Study, Max-Planck Institute and Columbia logical terms: If X and Y are bimeromorphic, then Y
NOVEMBER 1990, VOLUME 37, NUMBER 9 1213 ICM-90
is "simpler" than X if the second Betti numbers satisfy the exterior differential is conjugated by e-th, with t a the inequality b2(Y) < b2(X). However this is not the positive real number. As t goes to infinity, the support conceptually correct definition in general. of the harmonic forms shrinks to the critical points The two fundamental results of complex 2-dimensional of h. This picture led to a new proof of the Morse geometry are the following: inequalities and of the description of the cohomology of 1. Any bimeromorphic map between 2-dimensional M in terms of the critical points and the gradient flow compact complex manifolds is the composite of a single between them. Floer would later use such a definition of elementary step (called blowing up) and inverses of cohomology in a situation where no traditional device blowing ups (called blowing down). was available. This paper also influenced Lauman's 2. For any surface X, either a) there is a unique work on the geometric Fourier transform in positive Y bimeromorphic to X which is the "simplest" among characteristic. Furthermore, it was one of the first papers those bimeromorphic to X, or b) one can give a complete to use supersymmetry and geometry of the loop space in structure theory for X. These results were proved around the study of the index of differential operators. Since then the turn of the century by the Italian school of algebraic these notions have become very central in differential geometry. geometry. In the same vein, Witten subsequently gave Before Mori's pioneering work, it was generally be a string theory interpretation of the elliptic genus and lieved that the study of three-dimensional algebraic provided arguments for its rigidity which led to the varieties was hopelessly complicated and that there was proofs of this property by Taubes and Bott-Taubes. no possibility of understanding them. In 1978, Mori de vised a completely new way to produce non-trivial maps of the complex projective line into algebraic varieties and realized that this technique was central to the gener alization of classification theory for curves and surfaces to varieties of arbitrary dimension. In higher dimension there should be several series of elementary bimeromor phic maps in 1 above. Also, the "simplest" variety Y (as in 2a) is slightly singular and is not completely unique. (In many applications, however, these singularities cause only minor technical difficulties.) After ten years of work, Mori solved the three dimensional problem completely in 1989. (The higher dimensional case is still very much open.) It is this outstanding achievement that was recognized by the International Mathematical Union. C. Herbert Clemens Janos Kollar University of Utah
Edward Witten Edward Witten (born 1951) is a Professor at the Institute for Advanced Study at Princeton. Over the last decade, while exploring the use of advanced mathematical tools in theoretical physics, he has shown a unique talent in Edward Witten applying physical ideas to discover new and beautiful mathematics. Another piece of new mathematics stemmed from Witten's first major mathematical contribution was Witten's papers on global gravitational anomalies. He a new proof of the positive energy theorem of Schoen discovered that the holonomy of the determinant line and Yau for the Einstein equations. The proof, which bundles of families of Dirac operators is given by certain appeared in 1981, employed in a subtle way the idea of eta invariants. The full proof and further developments supersymmetry. This became the centerpiece of many of were due to Bismut-Freed, Cheeger and Bismut-Cheeger. Witten's subsequent works, like the fundamental 1982 In recent years, Witten focused his attention on paper "Supersymmetry and Morse Theory". topological quantum field theories. These correspond to Given a Morse function h on a Riemannian manifold Lagrangians such that the associated Feynman functional M, Witten considered the de Rham complex of M where integrals are metric-independent, formally giving man-
1214 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY ICM-90 ifold invariants. Witten described in those terms the best known version of this problem is the P versus invariants of Donaldson and Floer (extending the earlier NP question. It asks whether there are polynomial ideas of Atiyah) and generalized the Jones knot polyno time algorithms for certain computational tasks which mial to the case of an arbitrary ambiant 3-manifold M. seem to require exhaustive search. In 1985, Razborov, In the latter case, given a compact simple Lie group G, then a student at Moscow University and unknown to he considered the Chern-Simons Lagrangian leading to researchers in the West, obtained a major breakthrough functional integrals over connections in a fixed G-bundle by settling a monotone analog to the P versus NP over M, with the integrand dependent on the choice of a question. knot in M. Though the integrals arc formal, they may be rewritten as explicit mathematical quantities using knot surgery on M and the 2-dimensional conformal field theory related to affine Lie algebras and quantum groups. When G = SU(2) and M = S3, one recovers the Jones polynomial. In the case of G = SU(2) and M general, Reshetikhin-Turaev, within their own approach to these invariants, proved their independence of the choice of surgeries. Last year, the relentless exploration of mathematicsn physics led Witten to a prediction, verified up to genus 3, of the stable intersection numbers on moduli spaces of curves. His conjecture postulated the equality of the topological and combinatorial versions of 2-dimensional quantum gravity theory and related the intersection numbers to an asymptotic behavior of the numbers of surface triangulations, found recently by other physicists to be governed by the KdV flows. Although mostly not in the form of completed proofs, Witten's ideas have triggered major mathematical devel opments by the force of their vision and their conceptual clarity, his main discoveries soon becoming theorems. His Fields Medal at the 1990 International Congress of Mathematicians acknowledged the growing impact of his work on contemporary mathematics. Krzysztof Gaw~dzki Alexander Razborov Christophe Soule Institut des Hautes Etudes Scientifiques Razborov developed a brilliant new technique for analyzing computation on the Boolean circuit model. A Boolean circuit is an acyclic network of gates which N evanlinna Prize represent Boolean functions from a basis such as AND, OR, or NOT. Any Boolean function computable in polynomial time is definable by a family of circuits The University of Helsinki has granted funds to award a Nevan over this basis whose size is polynomial in the input linna Prize in the mathematical aspects of information sci length. It may thus be possible to show that a function ence to a young mathematician, to be given at the International is not computable in polynomial time by showing that Congress of Mathematicians. The Nevanlinna Prize was first it requires circuits of superpolynomial size. Though this awarded in 1982. remains beyond our present ability, a number of workers have succeeded in establishing such bounds for restricted classes of circuits. Alexander Razborov A monotone circuit is over the basis AND and OR, In a beautiful series of papers, Alexander Razborov without NOT. Razborov proved that such circuits require solved a number of outstanding problems in circuit superpolynomially many gates to test whether a graph has complexity, a notoriously difficult branch of complexity a clique, i.e., a complete subgraph, of a specified size. To theory. The central problem of complexity theory is appreciate the magnitude of this contribution, consider to determine the number of steps (or the amount of that the best prior lower bound for monotone circuits memory) necessary to compute various functions. The was not even superlinear. An obstacle to proving lower
NOVEMBER 1990, VOLUME 37, NUMBER 9 1215 ICM-90 bounds on circuit size is that for any given circuit the It is early to say whether Razborov's approximation intermediate functions computed by sub-circuits may method will be the key to general circuit lower bounds be extremely difficult to grasp. Razborov introduced and the P versus NP question. In one of his other the method of approximation to overcome this. In his results he gives a monotone circuit lower bound for the method the AND and OR operations are adjusted slightly matching function, i.e., testing whether a graph has a so that the intermediate functions remain manageable. collection of disjoint edges of a specified size. The proof Each adjustment changes the output of the circuit in only of this theorem is quite similar to the lower bound for a small way. Yet, after all adjustments have been made, the clique function. But, since the matching function is the resulting function differs greatly from the original computable in polynomial time, this indicates that the function. Hence there must have been many adjustments, approximation method may not be getting at the heart and therefore many gates. of the difficulty of the clique function. In a later paper, Razborov also applied this method to the bounded Razborov considers two forms of the approximation depth circuit model. Earlier work on this model by Ajtai, method. He shows that the weaker form is insufficient Furst-Saxe-Sipser, Yao, and Hastad showed that under for proving lower bounds on the general circuit model. the basis AND, OR, and NOT, circuits of significantly On the other hand the stronger form is universal for less than logarithmic depth require superpolynomial size general circuit lower bounds, in the sense that it must to compute the parity of the input string. Using the give a bound which is close to the correct one. Whether approximation method, Razborov sharply improved and the technical obstacles which arise when trying to apply simplified this result to prove similar bounds over AND, this method can be met, only time will tell. OR, and PARITY for the function which tests whether there are a majority of O's or a majority of 1's in the Michael Sipser input string. Massachusetts Institute of Technology
LIE ALGEBRAS AND RELATED TOPICS Georgia Benkart and J. Marshall Osborn, Editors Contemporary Mathematics, Volume 110 The 19R4 classification of the finite-dimensional restricted simple Lie algebras over an algebraically closed field of characteristic p > 7 provided the impetus for a Special Y car of Lie Algebras, held at the University of Wisconsin, Madison, during 19X7-RR. Work done during the Special Year and afterward put researchers much closer toward a solution of the long-standing problem of determining the finite-dimensional simple Lie algebras over an algebraically closed field of characteristic p > 7. This volume contains the proceedings of a conference on Lie algebras and related topics, held in May 19RR to mark the end of the Special Year. The conference featured lectures on Lie algebras of prime characteristic, algebraic groups, combinatorics and representation theory, and Kac Moody and Virasoro algebras. Many facets of recent research on Lie theory are ret1ectcd in the papers presented here, testifying to the richness and diversity of this topic.
19XO Mathematics Su~ject Classijicatio11s: 17, 20, All prices subject to change. Free shipment by 22;5R surface; for air delivery, please add $6.50 per title. ISBN O-R21R-5119-5, LC 90-44712, Prepayme11t required. Order from American ISSN 027 I -4132 Mathematical Society, P.O. Box 1571, Annex 313 pages (softcover), October 1990 Station, Providence, RI 02901-1571, or call toll Individual member $26, List price S44, free R00-321-4AMS (321-4267) in the continental Institutional member $35 U.S. and Canada to charge with Visa or Master To order, please specify CONM/IIONA Card. ~
1216 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY 1990 Annual AMS-MAA Survey (First Report)
Report on the 1990 Survey of New Doctorates, Donald E. McClure Salary Survey for New Doctorates Faculty Salary Survey Doctoral Degrees Conferred, 1989-1990
,------This first report on the 1990 Survey includes a report on the 1990 survey of new doctorates, a report on salaries of new doctorates, salary data Highlights on faculty members in four-year colleges and universities, and a list of names and thesis titles for members of the 1989-1990 Ph.D. class. The I. 933 doctorates in the mathematical sciences report is based on information collected from questionnaires distributed were awarded hy U.S. institutions in the period .July I, 19R9 in May to departments in the mathematical sciences in colleges and through June 30, 1990. This is an increase (d' 3 percent o\'er universities in the United States and Canada, and later to the recipients of doctoral degrees granted by these departments between July 1989 last year and is 15 percent greater than the a\'erage (~{the and June 1990, inclusive. A further questionnaire was distributed in fall counts for the last four years. September, concerned with data on fall enrollments, majors, and de partmental size. This data will appear in the second report on the 1990 Survey, in a spring 1991 issue of Notices. 2. 401 U.S. citi:ens are reported to ha1·e receii·NI For these reports, departments are divided into groups according to in the mathematical sciences. This is 43 percent the highest degree offered in the mathematical sciences. The groups doctorates are described in the box below. (~{the total awarded hy U.S. institutions, the lowest percent The 1990 Annual AMS-MAA Survey represents the thirty-fourth in an age e\'er reported. In part, the low percentage is explained annual series begun in 1957 by the Society. The 1990 Survey is under the direction of the AMS-MAA Data Committee whose members are hy the relati1·ely high numhers (~t' new doctorates awarded Edward A. Connors (chair), Lincoln K. Durst (consultant), John D. to non-U.5). citi:ens. The numher (Jf' U.S. citi:ens receil'ing Fulton, James F. Hurley, Charlotte Lin, Don 0. Loftsgaarden, David J. doctorates is slightly lower than the numher reported last Lutzer, James W. Maxwell (ex officio), Donald E. McClure, and Donald C. Rung. Comments or suggestions regarding this Survey may be year, and still strikingly lower than the numhers reported up directed to the committee. to the early 19ROs, hut it remains more than /()percent
Groups I and II include the leading departments of mathematics in the ahol'e the record low nwnhers reported in /9R6-R7 and U.S. according to the 1982 assessment of Research-Doctorate Pro 19R7-RR. grams conducted by the Conference Board of Associated Research Councils in which departments were rated according to the quality of their graduate faculty.1 3. 22 percent (~t' the U.S. citi:en doctorates were Group I is composed of 39 departments with scores in the 3.0-5.0 range awarded to women, less than the historical high (~t' 24 Group II is composed of 43 departments with scores in the 2.0-2.9 range. percent ini9RR-R9, and equal to the percentage awarded to Group Ill contains the remaining U.S. departments reporting a doctoral women o\'er the preceding four years. program. Group IV contains U.S. departments (or programs) of statistics, biosta tistics and biometrics reporting a doctoral program. 4. 17 percent (~t' the new doctorates hired in U.S. Group V contains U.S. departments (or programs) in applied mathe doctorate-granting departments were women, while /R matics/applied science, operations research and management science which report a doctoral program. percent (~t' the new doctorates (regardless (~t' citi:enship) Group Va is applied mathematics/applied science; Group Vb is opera were wome 11. tions research and management science. Group VI con\ains doctorate-granting departments (or programs) in the mathematical sciences in Canadian universities. 5. 4 of the 401 U.S. citi:en doctorates were hlack. Group M contains U.S. departments granting a master's degree as the The highernumher (9) reported in /9RR-R9 apparent/_)' does highest graduate degree. Group B contains U.S. departments granting a baccalaureate degree not signal a trend (~t' increased representation of hlacks only. among new doctorates. 1These findings were published in An Assessment of Research-Doctorate Programs m the United States: Mathematical and Physical Scienc.,s. edited by Lyle V. Jones. Gardner Lindzey. and Porter E. Coggeshall, National Academy Press. Washington. D.C .. 1982. The information on mathematics. statistics and computer science was presented in digest form in the April1983 6. The median starting salary (d'new doctorates re issue of Notices, pages 257·267, and an analysis of the above classifications was given in the June 1983 Notices, pages 392·393. For a listing of departments in Groups I and II see Aprii t 988 porting teaching (or teaching and research) was $32,000 Notices. pages 532·533. for men and $32,500for women.
NOVEMBER 1990, VOLUME 37, NUMBER 9 1217 Annual AMS-MAA Survey
Report on the 1990 Survey Table 2C: New Doctorates Awarded by Groups I-Va of New Doctorates 85-86 86-87 87-88 88-89 89-90 Donald E. McClure I-Va 698 743 760 854 864** **This is a fall count. The other entries in Table 2C are spring counts. This report presents a statistical profile of new doctorates in the Table 2C will be updated to include a spring count for 1989-90 in a spring 1991 issue of Notices. mathematical sciences awarded by univer~ities in the United States and Canada during the period July I, 1989, through June 30, 1990. It includes the employment status of reciplcnts of 1989-90 doctor Employment Status of ates in the mathematical sciences (as of October 5, 1990), an New Doctorates, 1989-1990 analysis of the data by sex, racial/ethnic gfoup and citizenship, and Table 3A shows the employment status, by type of employer and reports trends in the number of doctoral degrees for each of Groups field of degree, of the 991 recipients of doctoral degrees conferred I through V (see box on preceding page for description of groups). by the mathematical sciences departments in the U.S. and Canada Table I provides the response rates for the 1990 Survey of New between July I, 1989, and June 30, 1990. The names of these Doctorates. individuals arc listed with their thesis titles in a later section of this First Report of the 1990 Annual Survey. Again this year we present TABLE 1 : Response Rates the employment status of the 183 women new doctorates in Table Group I 39 of 39 38. The employment information was obtained initially from the Group II 41 of 43 including 2 with 0 degrees departments granting the degrees and subsequently from data Group Ill 75 of 86 including 18 with 0 degrees provided by the degree recipients themselves. Group IV 54 of 74 including 6 with 0 degrees The first five rows of Table 3A give the numbers of new Group Va 9 of 16 doctorates who have accepted appointments in U.S. doctorate Group Vb 18 of 33 including 4 with 0 degrees granting mathematical sciences departments (Groups I-V). The Group VI 18 of 30 including 4 with 0 degrees next two rows give the numbers who have accepted appointments in mathematical sciences departments granting masters and bache Doctorates Granted lors as the highest degrees. of new doctorates hired The number of new doctorates reported in 1989-90 by lJ .S. and There was an increase in the number last year and 207 two years Canadian mathematical sciences departments is 991. Table 2A in Groups I-V (259 compared to 240 Group III departments. gives the fall counts for the past five Annual Surveys. This year's ago). Most of the increase occurred among is essentially the same fall count will be updated in the Second Report of the 1990 Survey, The number hired by Group I departments year, and still over 40 percent above the levels reported in to appear in a spring 1991 issue of Notices. Table 28 reports for as last whose employment status comparison the fall and spring counts in the years 1985-86 through 1986-87 and 1987-88. Excluding those 1988-89. is unknown, 28 percent of the men and 25 percent of the women new doctorates accepted appointments in Group 1-V departments. Table 2A: New Doctorates, Fall Counts Most new doctorates accepted academic positions. Of the 678 new doctorates employed in the lJ .S., 66 percent (446) assumed po 85-86 86-87 87-88 88-89 89-90 sitions in university or four-year college mathematical sciences U.S. 756 779 804 905 933 departments, a two percentage point decrease from last year. Six Canada 45 66 52 53 58 teen percent (I 07) assumed positions in government, business and Total 991 801 845 856 958 industry, a fraction of a percentage below last year. The marginal decreases in these percentages do not reflect reductions in total Table 28: New Doctorates, Fall and Spring Counts employment in these sectors; instead, they arc due to increased 85-86 86-87 87-88 88-89 89-90 employment overall weighted towards other types of employers, Fall/Spring Fall/Spring Fall/Spring Fall/Spring Fall/Spring for example, research institutes and other academic departments. U.S. 756 782 779 808 804 828 905 919 933 * Table 3A shows as "not yet employed" about 5.7 percent of the Canada 45 45 66 66 52 55 53 62 58 * 1989-90 new doctorates, excluding those whose employment status Total 801 827 845 874 856 883 958 981 991 * is unknown. At the same time last year, 6.8 percent of the 1988-89 * To appear in a spring 1991 issue of Notices. new doctorates were reported as "not yet employed". The data in Table 3A were obtained in many instances early in the summer of 1990 and do not reflect subsequent hiring; an update of Table 3A In Table 2C we record the number of new doctorates in the is planned for the Second Report in a spring 1991 issue of Notices. mathematical sciences in the U.S. from the years 1985-86, exclu In a similar update last year, the percentage of 1988-89 new sive of Group Vb. The response rate for Group Vb, which includes doctorates who had reported not finding employment was 3.1 departments in engineering and management science, is the lowest percent (see Notices, November 1989, page 1157, and July/August of all groups. 1990, page 660).
1218 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Annual AMS-MAA Survey
Table 3A: Employment Status of 1989-1990 New Doctorates in the Mathematical Sciences tJ ~ ~ .!!J §"' .$. s# f C5 Table 38: Employment Status of 1989-1990 New Doctorates in the Mathematical Sciences Females Only tJ /i ~ ~ I .!!J §"' ~ s -~ f 0 ~ C5 NOVEMBER 1990, VOLUME 37, NUMBER 9 1219 Annual AMS-MAA Survey TABLE 4: Sex, Racial/Ethnic Group, and Citizenship of New Doctorates July 1, 1989 -June 30, 1990 U.S. DEGREES MEN WOMEN TOTAL CITIZENSHIP CITIZENSHIP Total Total RACIAL/ETHNIC GROUP -NOt Not U.S. Canada Other Men U.S. Canada Other lw Known Known -- r-----· Asian, Pacific Islander 13 1 255 1 270 10 52 ~l~ Black 3 6 1 1 1 1 o American Indian, Eskimo, Aleut 2 2 : I Mexican American, Puerto Rican, 5 29 34 3 1 4 38 or other Hispanic None of those above 276 7 127 72 1 25 98 11 508 Unknown 13 1 21 2 410437 3 2 1 6 43 Total 312 9 438 , I "' 89 1 80 1 171 933 ~- ----,---- CANADIAN DEGREES MEN WOMEN __J TOTAL I f--· CITIZENSHIP --~;-lE CIT,-IZ=-:E=-:N-SHIP ~Total 1 f---- RACIAL/ETHNIC GROUP u.s. Canada Other Canada Other Not Women K.fl_illYil_No1 ~n ~ ______Known ----~------1 Asian, Pacific Islander 3 2 1 3 3 9 1 6 I Black American Indian, Eskimo, Aleut Mexican American. Puerto Rican, I I or other Hispanic None of those above 1 23 5 1 30 I 2 3 33 I ~okoowo 9 1 10 1 4 46 9 --2------T--1-:-~~ Total 1 35 8 2 1 ------ Sex, Racial/Ethnic Group, and Citizenship Women comprise 22 percent of the U.S. citizens receiving doc of New Doctorates, 1989-1990 torates in the mathematical sciences, equal to the percentage of Table 4 presents a breakdown according to sex, racial/ethnic group, U.S. citizen doctorates granted to women over the preceding four and citizenship of the new doctorates. The information reported in years. The numbers of U.S. citizen women receiving doctorates in this table was obtained from departments granting the degrees and the mathematical sciences have been quite stable for the last nine in some cases from the recipients themselves. years, except for a dip in 1986-87 and 1987-88. The increased per Of the 933 doctorates awarded by U.S. universities, the citi centage of women from the levels of ten or more years ago mainly zenship is reported as known for 929 recipients, with 40 I reporting reflects the decline in the number of U.S. citizen men receiving U.S. citizenship. Thus, only 43 percent of the doctorates awarded doctorates. Table 6 presents data for the period 1973-74 through by U.S. institutions went to U.S. citizens. This is a record low for 1989-90. the percentage of U.S. citizens since citizenship data started being Citizenship and Sex of reported in 1973-7 4. U.S. Doctorates, 1973 to 1990 Two factors are reflected in the low percentage of U.S. citi Again this year. information is presented on the annual number of zens: (I) the number of U.S. citizens receiving doctorates remains doctorates granted by U.S. universities to U.S. citizens since 1973 low, down from last year and barely over 400 for only the second (Table 5). This number is divided into male and female doctorates time in the past six years, and (2) the number of non-U.S. citizens (Table 6). In Table 5 the column headed "Adjusted Total of receiving doctorates has been increasing (528 this year compared Doctorates given by U.S. Universities" gives the number of doctor to 473 last year and 435 two years ago). Refer to Table 5 and the ates granted between July I and June 30 of the indicated years accompanying graphs. whose citi:cnship is known. Column 2 gives the number who are Among the U.S. citizens receiving doctorates in the mathe U.S. citizens and column 3 the percentage that this represents. In matical sciences, 4 were black (3 men, l woman) and 8 were Table 6 the number in column 2 of Table 5 is further divided into Mexican American, Puerto Rican or other Hispanic (5 men, 3 men and women. Note that in both tables all years prior to /982- women). 83 include doctorates granted by computer science departments. 1220 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Annual AMS-MAA Survey TABLE 5: U.S. Citizen Doctorates Adjusted Total Total of Graph for Table 5: U.S. Citizen Doctorates of Doctorates Doctorates Total of Doctorates by Percent given by U.S. who are U.S. % universities citizens % 80 1973-1974 938 677 72 1974-1975 999 741 74 1975-1976 965 722 75 70 1976-1977 901 689 76 1977-1978 868 634 73 1978-1979 806 596 74 1979-1980 791 578 73 60 1980-1981 839 567 68 1981-1982 798 519 65 1982-1983 744 455 61 50 1983-1984 738 433 59 1984-1985 726 396 55 1985-1986 755 386 51 40 1986-1987 739 362 49 1973- 1978- 1983- 1988- 1989- 1987-1988 363 45 798 74 79 84 89 90 1988-1989 884 411 46 1989-1990 929 401 43 Graph for Table 5: U.S. Citizen Doctorates 1000 TABLE 6: U.S. Citizen Doctorates, Male and Female 900 Doctorates who are U.S. Male Female % citizens Female 800 1973-1974 677 618 59 9 1974-1975 741 658 83 11 700 1975-1976 722 636 86 12 1976-1977 689 602 87 13 600 1977-1978 634 545 89 14 1978-1979 596 503 93 16 1979-1980 578 491 87 15 500 1980-1981 567 465 102 18 1981-1982 519 431 88 17 455 400 1982-1983 366 89 20 1983-1984 433 346 87 20 1984-1985 396 315 "81 20 1985-1986 386 304 82 21 1973- 1978- 1983- 1988- 1989- 1986-1987 362 289 73 20 74 79 84 89 90 1987-1988 363 287 76 21 ··-· ·- Adjusted total of doctorates given by U.S. universities 1988-1989 411 313 98 24 - Total of doctorates who are U.S. citizens 1989-1990 401 312 89 22 NOVEMBER 1990, VOLUME 37, NUMBER 9 1221 Annual AMS-MAA Survey Bibliography [20] Commission on Professionals in Science and Technology. Oc [1] Plans and Expectationsj(1r Retirement: Survey ofTIAA-CREF casional Papers, prepared by Betty M. Vetter. Look Who's Coming to Participants Ages 55-70, Research Dialogues, Issue No. 25, April 1990, School (89-0), Dec 1988. Women in Science. Progress and Prohlems (89- Teachers Insurance and Annuity Association, New York, NY. 1), Feb 1989. Recruiting Doctoral Scientists and Engineers (89-2), Feb [2] National Science Foundation. Science and Technology Data 1989. American Minorities in Science and Engineering (89-3), Sep 1989. Book, (NSF 88-332), National Science Foundation, Washington, DC, Replacing Science and Engineering F acuity in the 1990s (89-4 ), Dec 1989. 1989. Supply and Demand./(1r Engineers in the 1990s (90-1 ), Apr 1990. Who is [3] Scient(f/c Manpower - 1987 and Beyond. Today's Bmlgets- To in the Pipeline? Science, Math and Engineering Education (90-2), Jul morrow's Workf(n-ce. Proceedings of a Symposium, Oct 1986, Washing 1990. CPST, Washington DC. ton, DC, Commission on Professionals in Science and Technology. [21] Meeting the Needs 1!(a Growing Emnomy: The CORETECH [4] Rand Publication Series. Reports on teaching and education: Agendafin· the Scient(flc and Technical Workf(nw. CORETECH, Wash Beyond the Commission Reports: TheComingCrisisinTeaching. R-3177- ington, DC, 1988. RC, Jul 1984. Steady Work: Policy, Practice and the Re./(mn 11j"American [22] Measuring National Needs for Scientists to the Year 2000. Education. R-3574-NIE/RC, Feb 1988. The Em/wion of'Teacher Policy. Report to the National Science Foundation. Commission on Professionals JRE-0 I, Mar 1988. Assessing Teacher Supply and Demand. R-3633-ED/ in Science and Technology, Washington, DC, July 1989. CSTP, May 1988. [231 Bernard L. Madison and Therese A. Hart, A Challenge of [5] Bettye Anne Case, Keys to lmprmw/lnstmction hy Teaching As Numhers: People in the Mathematical Sciences. Washington, DC: Na sistants and Part-time lnstmctors, MAl\ Notes No.I I, Mathematical As tional Academy Press, 1990. sociation of America, Washington, DC, 1989. [24] National Research Council. Renewing U.S. Mathematics: A [6] D. J. Albers, R. D. Anderson, and D. 0. Loftsgaarden, Under Plan.f(n· the 1990s. Washington, DC: National Academy Press, 1990. graduate Programs in the Mathematical and Compllter Sciences. The [25] National Science Board. Science and Engineering Indicators /985-1986 Swwy, MAA Notes No.7. - 1989. Washington, DC: U.S. Government Printing Office, 1989 (NSB [7] The Annual Report on the F:"conomic Status of" the Prof(•.uion 89-1 ). 1988-1989. Academe: Bulletin of the American Association of University [26] Commission on Professionals in Science and Technology. Professors, March-April 1989, Washington, DC. Salaries of' Scientists, Engineers and Technicians: A Summary 1!( Salary [8] The Underachie1·ing Curriculum: Assessing U.S. School Mathe Sun·eys. 14th Ed. Washington, DC, 1990. maticsfi·om an International Perspectire. Stipes Publishing Co., Cham [27] Commission on Professionals in Science and Technology. paign, Illinois, January 1987. Pr11(essional Women and Minorities- 1989. Washington, DC, December [9] Competition .fin· Human Resources in the 1990s. Proceedings of 1989. a Symposium, Commission on Professionals in Science and Technology, [28] 1989-1990 Faculty Salary Surl'ey hy Discipline. Office of May 1988. Institutional Research, Oklahoma State University, Stillwater, OK, 1990. [10] Science and Engineering Doctorates: 1960-86, NSF 88-309, [29] Report on the National Science Foundation Disciplinary Work Washington, DC 1988. shops on Undergraduate Education. Recommendations of the discipli [ll] Educating Scientists and Engineers: Grade School to Grad nary task forces concerning critical issues in U.S. undergraduate education School U.S. Congress, Office of Technology Assessment, OTA-SET-377, in the Sciences, Mathematics and Engineering. National Science Founda Washington, DC, June 1988. tion, Washington, DC, April 1989. [12] Boon or Bane- Foreign Graduate Students in U.S. Engineering [30] Mathematical Sciences Education Board. Mathematics Educa Programs, Institute of International Education Research Report Series, tion: Well.1pring i!f"U.S. Industrial Strength. Report of a Symposium held No. 15, 1988. December, 1988. National Research Council, 1990. [13] National Research Council. Summary Report 19RR, Doctorate [31] David Blackwell and Leon Henkin, Mathematics: Report I!{ the Recipients.fi·om U.S. Unil'ersities, National Academy Press, Washington, Pr1!ject 2061. Phase I Mathematics Panel. American Association for the DC, 1989. Advancement of Science, Washington, DC, 1989 (AAAS Pub 89-03S). [14] Edward A. Connors, A Decline in Mathematics Threatens [32] National Academy of Sciences. Engineering Personnel Data Science - and the U.S., The Scientist, November 28, 1988. Needsfor the 1990s. National Academy Press, Washington, DC, 1988. [15] Edward A. Connors, America's Scient(f/c Fwure is Threatened [33] . Commission on Professionals in Science and Technology. hy the Decline in Mathematical Education, The Chronicle of Higher Proceedings of a symposium "Human Resources in Science and Technol Education, January II, 1989. ogy: Improving U.S. Competitiveness" held March I990. CPST, Wash [16] National Research Council. Evel}'hodyCounts: A Report to the ington, DC, July 1990. Nation on the Future !!{'Mathematics Education, National Academy Press, [34] Roman Czujko and David Bernstein, Who Takes Science? A Washington, DC, I9&9. Report on Student Coursework in High School Science and Mathematics. [17] Elementary and Secondary Education .fin· Science and American Inst of Physics, New York, NY, Dec 1989 (AlP Pub No. R-345). Engineering. U.S. Congress, Office of Technology Assessment, OTA [35] A Guide to NSF Science/Engineering Resources Data. National TM-SET-41. Washington, DC, December 1988. Science Foundation, Washington, DC 1987. [18] Higher Education for Science and Engineering: A Background [36] Christine M. Matthews, Congressional Research Service Issue Paper. U.S. Congress, Office of Technology Assessment, OTA-BP-SET- Brief, Science, Engineering and Mathematics Precollege and College 52. Washngton, DC, March 1989. Education. Library of Congress, Washington, DC, I 989. [19] Changing America: The New Face 11{Science and Engineering. [37] Recruitment, Retention and Utilization of Federal Scientists Interim Report, Task Force on Women, Minorities, and the Handicapped and Engineers. A report to the Carnegie Commission on Science, Tech in Science, September 1988. nology &Governnment. National Academy Press, Washington, DC, 1990. 1222 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Annual AMS-MAA Survey Salary Survey for New Recipients of Key to Tables. Salaries are listed in hundreds of dollars. Nine-month salaries are based on 9-10 months teaching and/or Doctorates, 1989-1990 research, not adding extra stipends for summer grants or summer The figures for 1990 were compiled from questionnaires sent to teaching or the equivalent. Years listed refer to the academic year individuals who received a doctorate in the mathematical sciences in which the doctorate was received. M and F are Male and Female during the 1989-90 academic year from universities in the United respectively. One year experience means that the persons had States and Canada. experience limited to one year or less in the same position or a Questionnaires requesting information on salaries and profes position similar to the one reported; some persons receiving a sional experience were distributed to 820 recipients of degrees doctorate had been employed in their present position for several using addresses provided by the departments granting the degrees. years. (X + Y ) means there are X men and Y women in the 1990 Of these, II were returned by the postal service as undeliverable sample. Quartile figures are given only in cases where the number and could not be forwarded. There were 421 individuals who of responses is large enough to make them meaningful. returned forms between late June and mid-September. The tables Graphs. The horizontal line represents the median salary for below are based on the responses from 367 ofthese individuals (297 1989 in hundreds of dollars. The points plotted are the median men and 70 women). Data from 54 responses were not used in the salaries for each year converted to 1989 dollars using the implicit compilation of the tables below; forms with insufficient data, or price deflator prepared annually by the Bureau of Economic Analy from individuals who indicated they had part-time employment, sis, U.S. Department of Commerce. (Because the deflator is not yet were not yet employed, or were not seeking employment, were avai )able forth is year, the 1990 figures do not appear on the graphs). considered unusable. The boxes show the middle half of the population, where the Readers should be warned that the data in this report arc quartile data arc available. obtained from a self-selected sample and inferences from them may Note that salaries for teaching, or teaching and research, have not be representative of the population. For more comprehensive yet to return to their high point of 1970, although steady progress information on the recipients of new doctorates granted last year in has been made since 1980. (For further details, see Donald Rung's the mathematical sciences in the U.S. and Canada, see the preceding article, "A Fifteen Year Retrospective on Academic Salaries of article by D. McClure. U.S. Doctorate Holding Faculty," in the November 1985 issue of Notices, pages 772-773.) Nine-Month Salaries Reported Nine-Month Teaching Ph.D. Min 0, Median 03 Max Median in Year 1989$ TEACHING OR TEACHING AND RESEARCH 600 (187 +50) 1960 49 65 80 266 1965 70 80 105 299 500 ~ 1970 85 110 195 331 ..!!1 1975 90 120 128 135 173 273 0 0 400 1980 105 155 171 185 250 252 0 en 1985 170 230 250 270 380 283 '0 1986 170 250 269 290 400 298 Q) -g 300 1987 165 260 280 300 517 301 :::J 1988 200 275 293 314 575 305 :r 1989 290 330 200 310 478 310 200 1990 230 305 320 350 710 1987M 165 260 280 300 517 100 1987F 230 251 280 325 420 1988M 200 274 290 315 520 0 1988F 216 275 299 314 575 60 65 70 75 80 85 89 ····------1989M 200 290 305 330 478 1989F 220 295 310 330 470 1990M 230 306 320 350 710 1990F 250 300 325 360 493 ---- One year experience (169 + 39) 1990M 230 309 320 350 710 1990F 250 305 325 360 470 NOVEMBER 1990, VOLUME 37, NUMBER 9 1223 Annual AMS-MAA Survey Nine-Month Salaries Nine-Month Research Reported Ph.D. Min Median Max Median in Year 1989$ RESEARCH (7 + 0) 1960 52 65 80 266 1965 71 81 90 303 Graph omitted because 1970 78 105 160 316 sample size too small. 1975 100 11 0 1980 125 137 180 202 1985 205 235 250 268 1986 215 245 280 272 1987 250 300 300 322 1988 260 280 385 292 1989 235 270 330 270 1990 230 300 404 1987M 250 300 300 1987F ------· 1988M 260 280 385 1988F 1989M 235 270 330 1989F 1990M 230 300 404 1990F One year experience (7 + 0) 1990M 230 300 404 1990F Twelve-Month Salaries Twelve-Month Teaching Reported Ph.D. Min Max Median in Year 01 Median 03 1989$ TEACHING OR TEACHING AND RESEARCH (29 + 6) 1960 ...... No data ...... 600 1965 78 104 121 389 1970 95 128 200 385 1975 87 145 204 309 500 1980 143 195 350 287 en 1985 220 230 273 300 470 311 ~ 1986 220 265 320 360 480 355 8 400 1987 200 283 315 357 520 338 0 en 1988 220 313 330 360 480 344 1J ~ 300 370 620 315 1J 1989 238 290 315 c 1990 225 318 365 404 670 :::J ------I 1987M 200 270 300 358 520 200 1987F 300 320 339 357 450 ------1988M 220 308 330 355 480 100 1988F 329 335 350 365 441 ------· --- ·--- 1989M 238 295 315 370 620 1989F 275 290 314 380 435 60 65 70 75 80 85 89 ~----·· ------1990M 225 316 360 400 670 1990F 250 320 383 420 425 ------One year experience (24 + 5) 1990M 225 305 338 404 670 1990F 250 365 400 420 425 ------ 1224 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Annual AMS-MAA Survey Twelve-Month Salaries Twelve-Month Research Reported Ph.D. Min Median Max Median in Year 01 03 1989$ RESEARCH (25 + 2) 1960 97 105 140 429 600 1965 81 93 107 348 1970 90 120 205 361 1975 90 119 180 254 500 1980 120 180 321 265 1985 190 295 342 400 520 390 1988M 200 240 280 330 505 1988F 280 320 330 350 360 100 1989M 180 250 300 393 623 1989F 200 295 350 373 400 60 65 70 75 80 85 89 1990M 180 280 300 360 546 1990F 330 330 365 400 400 One year experience (22 + 2) 1990M 180 280 300 360 546 1990F 330 330 365 400 400 Twelve-Month Salaries Twelve-Month Government Reported Ph.D. Min Median Max Median in Year 01 03 1989$ GOVERNMENT {10 + 3) 1960 72 93 130 380 1965 70 126 160 471 1970 100 150 223 451 600 1975 78 182 247 388 1980 156 244 501 360 1985 263 294 325 381 440 370 500 1990M 320 345 375 430 587 60 65 70 75 80 85 89 1990F 330 354 378 429 480 One year experience (8 + 3) 1990M 320 338 350 429 587 1990F 330 354 378 429 480 NOVEMBER 1990, VOLUME 37, NUMBER 9 1225 Annual AMS-MAA Survey Twelve-Month Salaries Twelve-Month Industry Reported Ph.D. Min Median Max Median in Year ~ 03 1989$ BUSINESS AND INDUSTRY (39 + 9) 5,2501 -:- 5,250 1960 78 110 150 450 1965 100 136 180 508 700 1970 96 170 235 511 1975 114 187 240 398 1980 190 284 400 419 600 1985 260 360 400 420 493 456 1986 324 373 425 477 750 471 ~ .!11 1987 290 400 451 500 1500 484 0 500 1988 300 400 440 490 1100 458 0 0 1989 250 420 464 505 5250 464 (/) '0 1990 320 438 495 533 700 Q) 400 ------oc :0 1987M 290 400 465 517 1500 I 1987F 300 394 424 466 502 300 1988M 300 400 431 490 1100 1988F 375 437 454 495 660 200 1989M 250 420 464 513 5250 1989F 375 430 470 500 516 100 1990M 320 443 490 533 630 1990F 390 440 500 525 700 60 65 70 75 80 85 89 One year experience (24 + 4) 1990M 320 430 470 513 622 1990F 420 430 465 495 500 1990 CBMS Survey Faculty Salary Survey Questionnaires for the 1990 Survey of Undergraduate Pro grams in the Mathematical Sciences and Computer Science, 1990-1991 conducted by the Conference Board of the Mathematical Sciences and funded by NSF, were mailed in fall to selected The charts on the following pages display faculty salary data for departments. Donald C. Rung, director of the 1990 CBMS Groups I-VI, M and B: faculty salaries by rank, mean salaries by Survey, expects to have preliminary results in spring 1991. rank, the number of faculty within that rank, and the number of Survey reports will be published as quickly as possible, and usable returns for the group. Departments were asked to report the copies will be available from the Mathematical Association number of faculty whose 1990-91 academic-year salaries fell of America. within given salary intervals. In addition to the usual detailed enrollment and faculty profile data, the 1990 CBMS Survey contains questions on both the undergraduate major in the mathematical sciences and mathematical sciences libraries. Although the deadline for survey returns was November I, 1990, late returns will be accepted. Departments in the sample who have not yet responded are urged to complete and return their questionnaires as soon as possible to: CBMS Survey, Attn: Monica Foulkes, AMS, P.O. Box 6248, Providence, RI 02940-6248. 1226 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Annual AMS-MAA Survey FACULTY SALARIES 1990-91 GROUP I - Doctorate granting departments FACULTY AS 33 of 39 reporting (85%) A PERCENT OF TOTAL RANK NUMBER REPORTED MEAN SALARY FACULTY Assistant Professor 186 $37,883 WITHIN RANK Associate Professor 267 47,354 Full Professor 1075 50 ...... ········· 68,549 Assistant Professor 40 ...... Associate Professor .. Full Professor 30 ...... 20 ...... /lOOJe 120K 1990·1991 ACADEMIC-YEAR SALARY FACULTY SALARIES 1990-91 FACULTY AS GROUP II- Doctorate granting departments A PERCENT 38 of 43 reporting (88%) OF TOTAL RANK NUMBER REPORTED MEAN SALARY FACULTY WITHIN RANK Assistant Professor 235 $39,827 Associate Professor 360 43,021 50 .. Full Professor 727 59,732 Assistant Professor .. Associate Professor .. Full Professor 30 20 ...... 75· /lOOJe 60K 65K ?OK 80K 85K 120K 1990·1991 ACADEMIC· YEAR SALARY NOVEMBER 1990, VOLUME 37, NUMBER 9 1227 Annual AMS-MAA Survey FACULTY SALARIES 1990·91 GROUP Ill • Doctorate granting departments FACULTY AS 72 of 86 reporting (84%) A PERCENT OF TOTAL RANK NUMBER REPORTED MEAN SALARY FACULTY Assistant Professor 460 $34,977 WITHIN RANK Associate Professor 522 40,737 Full Professor 779 50 ..... 55,917 Assistant Professor 40 .. .. Associate Professor .. Full Professor 30 ...... 20 ...... 10 .. 65- H:o.e 60K ?OK 85K 120K 1990-1991 ACADEMIC-YEAR SALARY FACULTY SALARIES 1990·91 FACULTY AS GROUP IV • Doctorate granting departments A PERCENT 50 of 74 reporting (68%) OF TOTAL RANK NUMBER REPORTED MEAN SALARY FACULTY Assistant Professor 162 $35,883 WITHIN RANK Associate Professor 158 45,118 50 ...... Full Professor 360 65,703 Assistant Professor 40 ················· .. Associate Professor .. Full Professor 30 ...... 20 ...... 10 ...... 0 "=""~~~.....~...... ,_ Below 25- 30- H:o.e 25K 30K 35K 120K 1990-1991 ACADEMIC-YEAR SALARY 1228 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Annual AMS-MAA Survey FACULTY SALARIES 1990-91 GROUP V - Doctorate granting departments FACULTY AS 14 of 49 reporting (29%) A PERCENT RANK NUMBER REPORTED MEAN SALARY OF TOTAL FACULTY Assistant Professor 32 $44,162 WITHIN RANK Associate Professor 28 49,156 Full Professor 72 69,801 50 Assistant Professor 40 al Associate Professor .. Full Professor 30 ...... 20 ...... 10 ... 0~-.....----+ Below 75- 25K 60K ?OK 80K 85K 1990-1991 ACADEMIC-YEAR SALARY FACULTY SALARIES 1990-91 GROUP VI - Canadian doctorate granting departments FACULTY AS (Salaries reported in Canadian $) A PERCENT 15 of 30 reporting (50%) OF TOTAL FACULTY RANK NUMBER REPORTED MEAN SALARY WITHIN RANK Assistant Professor 77 $39,475 Associate Professor 50 122 56,506 Full Professor 185 . 68,960 Assistant Professor 40 ... al Associate Professor .. Full Professor 30...... 20 ...... 10 ...... 0 t-,---1--lo--1-...... -i Below ltDJe 25K 120K NOVEMBER 1990, VOLUME 37, NUMBER 9 1229 Annual AMS-MAA Survey FACULTY AS A PERCENT Of TOTAL FACULTY WITHiN RANK 50 .Ass1stant Prc;iessor Bl Full Protessor FACUL AS A PEHCENT OF TOTAL Fil,CULTY WITHIN RANK Associate Pr..:lfessor Profe'?:sor ·~ 990-1991 t"CADEfv11CcV'E;\R SALAHY 1230 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Annual AMS-MAA Survey Doctoral Degrees Conferred 1989-1990 ARIZONA CALIFORNIA The annual list of doctoral degrees in the mathematical sciences and related subjects Arizona State University (6) California Institute of Technology (9) reports 991 degrees conferred between July 1, 1989, and June 30, 1990 by 224 depart MATHEMATICS APPLIED MATHEMATICS ments in 153 universities in the United States Al-Musallam, Fadell Abdulazeez, An up Hayes, Catherine Kent, Diffusion and and Canada. Each entry contains the name per estimate for the distance to the stress driven flow in polymers. of the recipient and the thesis title. The num essentially G1 operators. Kovacic, Gregor, Chaos in a model of ber in parentheses following the name of the the forced and damped Sine-Gordon university is the number of degrees listed for Duncan, Della, Symmetries in flat space that university. times. equation. Elkhader, Abder-Rahman, Systems of McLachlan, Robert I., Separated viscous ordinary dijJ"erential equations with flows via multigrid. some monotonicity. Morlet, Anne Chantal Marie, /. Numeri Kim, Young Ik, Bifurcation of a general cal experiments for the computation of ized logistic delay iterative map having invariant curves in dynamical systems. ALABAMA one real control parameter. II. Numerical convergence results for a one-dimensional Stefan problem. Auburn University ( 3) Rosenthal, Joachim, Geometric methods for feedback stabilization of multivari Shinn-Mendoza, Rachel Elizabeth, Shocks ALGEBRA, COMBINATORICS able linear systems. and instabilities in traffic. AND ANALYSIS Wang, Xiaochang, Additive inverse eigen Calahan, Rebecca, Automorphisms of MATHEMATICS value problems and pole placement of Steiner triple systems. Abram, A Theory of linear systems. Ashlock, Daniel FOUNDATIONS, ANALYSIS permutation polynomials using compo AND TOPOLOGY University of Arizona (7) sitional attractors. Smiley, Mark D., Metric dimensions of MATHEMATICS Kafkoulis, George, Homogeneous se fractals. quences ofcardinals for ordinal defmable Alawneh, Zakaria, A numerical method Yang, Zhan-Bo, On homogeneity prob partition relations. for solving certain nonlinear integral lems. Magaard, Kay, The maximal subgroups arising in age-structured pop equations of the Chevalley groups F (F) where F University of Alabama, Huntsville ( 1) dynamics. 4 ulations is a .finite or algebraically closed field of MATHEMATICS Barrera-Mora, Fernando, On radical ex characteristic ;;/; 2, 3. and radical powers. Grinstead, Dana Leigh, Algorithmic tem- tensions Uzcategui, Carlos, Smooth sets for Borel plates and multiset problems in graphs. Fahlberg-Stojanovska, Linda, Stochastic equivalence relations and the covering stability of Lozi-mappings. University of Alabama, Tuscaloosa (7) property for a-deals of compact sets. Freeman, Jonathan Dennis, Estimation MANAGEMENT SCIENCE AND STATISTICS of astronomical images from the bis Claremont Graduate School (2) Bowen, Larry J., Comparing estimators pectrum of atmospherically distorted MATHEMATICS of exponential reliability using Pitman's infrared data. measure of closeness. Fang, Weifu, Identification of transistor Halpren, David, The squeezing of red contact resistivity. Cobb, Richard, Development of design blood cells through tubes and channels Huang, Wenzhang, Stability and bifur guidelines for carrier sense multiple of near critical dimensions. access with collision detection (CSMA/ cation for a multiple group model for Powell, James, Nonlinear fronts in a dynamics of HIV/AIDS transmission. CO) local area network. quintic amplitude equation. deSa, Derek J. M. M., Vulnerability of Valdez-Torres, Jose, Multivariate discrete Stanford University ( 14) flow networks. failure rates with some applications. ENGINEERING-ECONOMIC SYSTEMS Kim, Young Hwan, A forecasting method ology for maintenance cost of long-life ARKANSAS Bosch, Deborah Karen, Decision analysis equipment. using hierarchical value functions. Margavio, Thomas, Multivariate moving University of Arkansas ( 1) Cranshaw, Mark Bernard, Strategic be average control charts for the process havior in dynamic settings. MATHEMATICAL SCIENCES mean. Davis, Donald Boyce, The effect of ambi Munshi, Arpana, Mis-classification in Jang, Wuufang, Automata, transforma guity of lottery preferences. logistic regression. tion semigroups, and languages: Stan Garcia-Bulle, Mauricio, Multi-agent net Pittman, Terry Obert, X bar charts with dard automata for varieties of formal work equilibrium with applications to bone tests. languages. transportation systems. NOVEMBER 1990, VOLUME 37, NUMBER 9 1231 Annual AMS-MAA Survey Pichler, Pegaret Schuerger, Optimal pric Yang, Hee Joong, The influence ofhuman Xu, Ping, Morita equivalence of Poisson ing policies of a monopolistic market errors on nuclear incidents. manifolds. maker. MATHEMATICS Xuan, Xiaohua, Nonlinear boundary Smith, James E., Moment methods for value problems: Computation, conver decision analysis. Carboncra, Carlos Daniel, Linearizations gence, and complexity. of ordinary differential equations. MATHEMATICS Zheng, Yuxi, Concentration-cancellation Carroll, Catherine Andree, On the closing phenomena for weak solutions to certain Dai, Jiangang, Steady-state analysis of lemma for flows on the torus. nonlinear partial differential equations. reflected Brownian motions: Characteri Eggleston, Trent Alan, A functional cal zation, numerical methods and queueing culus and its applications to inner University of California, applications. functions. Davis (7) Hunt, Brian Ramen, Analysis of turbulent Geller, William, Orbit types and topolog MATHEMATICS and ergodic problems. ical entropy. Baber, Farhat-Un Nisa Farhat, Power Jorgenson, Jay, Canonical and Arakelov Ginzburg, Viktor, On closed characteris groupo ids of groupo ids of order ~ 3. metrics, and Faltings delta function. tics of2-forms. Borges, Carlos Freitas, Numerical meth Khuri, Hala Halim, Determinants of Gross, Mark William, Surfaces in the ods for illumination models in realistic Laplacians on the moduli space of four-dimensional Grassmannian. image synthesis. Riemannian surface. Hirsch, Michael David, Applications of Dad-Del, Ali Akbar, Covering cyclic Lundelius, Rolf Eric, Asymptotics of topology to lower bound estimates in groups by sections. the determinant of the Laplacian on computer science. hype,rbolic surfaces offinite volume. Frezza, Ruggero, Models of higher-order Kleiner, Bruce Alan, Riemannian four and mixed-order Gaussian reciprocal Morris, Macdonald Scott, Mathematical manifolds with nonnegative curvature processes with application to the smooth methods for molecular sequence analysis and continuous symmetry. ing problem. and genome map assembly. Laca, Marcelo Enrique, Representations Howard, Eric Jordan, A multidimensional Ross, Martin, Stability properties of com of Cuntz algebras and endomorphisms Perron integral and the divergence theo plete 2 dimensional minimal surfaces in of type I factors. euclidean space. rem. Lazarus, Andrew Joseph, The class num Wehrly, Albert C., Uniform spaces. Tillman, Ulrike, K -theory of topological ber and cyclotomy of simplest quartic Yamaoka, Kenya, The global determi group algebras. fields. nation of the glass of finite regular University of California, Lim, Chong Hai, Endomorphism rings of semigroups. Berkeley ( 34) Jacobian varieties of Fermat curves. Ling, San, On the arithmetic of modular University of California, BIOSTATISTICS curves. Irvine (2) Lock, Michael Daniel, Optimizing density Lopes-Filho, Milton da Costa, Microlocal MATHEMATICS estimates based on unweighted and regularity and symbols for distributions. weighted mean integrated square error. Melles, Garvin Norman, Classification Lu, Jiang-Hua, Multiplicative and affine theory and generalized recursive func INDUSTRIAL ENGINEERING AND Poisson structures on Lie groups. tions. OPERATIONS RESEARCH Oldham, Janis Marie, Connections in Thau, Kuo-Tong, A numerical solution Ando, Toshiya, An extension of super principal fiber bundles. of Abel's integral equation in terms of Levengerg-Marquardt method for un Quaife, Arthur William, Automated de Fresnel integrals. constrained optimization. velopment offundamental mathematical Datta, Koushik, Predicting risk reduction theories. University of California, of aircraft collision avoidance systems. Sanker, David Vincent, A characteriza Los Angeles ( 8) Irony, Telba Zalkind, Modeling, informa tion of irrationality. BIOSTATISTICS tion extraction and decision making: A Shearer, James William, Global existence Go, Oscar Tin, Efficient estimation in a Bayesian approach to some engineering and compactness in LP for systems of generalized regression model. problems. conservation laws. Watson, George A., Influential observa Smith, Gene Ward, Generic cyclic poly Kim, Jong Soo, Short-term production tions in survival models with censored planning of multi-stage processing lines. nomials and some applications. data: An approach based on the influence Lin, Woo-Tsong, An object-oriented sys Sommer, Richard D., Transfinite in function. tem for knowledge-based production duction and hierarchies generated by scheduling. transfinite recursion within Peano arith MATHEMATICS Min, Kyung Jo, Pricing delivery priority metic. Cunningham, Daniel Wendell, The real and spec. level of custom semiconductor Tanbay, Betti!, Extensions of pure states core model. chips. on algebras of operators. Liu, Jian-Guo, Homogenization and nu Taleb-lbrahimi, Mounira, Modeling and Tang, Tai-Man, On C* -algebras related merical methods for hyperbolic equa analysis of container storage in ports. to Schrodinger type operations. tions. 1232 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Annual AMS-MAA Survey Schusteff, Aaron, Product formulas for University of California, University of Colorado, Boulder ( 6) relative Nielson numbers of fiber map Santa Barbara (7) MATHEMATICS pairs. MATHEMATICS Varadi, Ferenc, Hamiltonian perturba Bardwell, Robert A., Asymptotic behav tion theory applied to planetary motions. Chang, Shu-Chu, Two-sided equivalence ior of certain estimators under mild with respect to subgroups of the modular regularity conditions. Yamanouchi, Takehiko, Duality for ac Cole, Rodney Elias, Lp spectral analysis tions and coactions of measured group group. with an Loo upper bound. aids on von Neumann algebras. Eudave-Munoz, Mario, Band sums of knots and composite links. The cabling Darby, Carl, Countable Ramsey games Zhou, Qing, Three-dimensional geometric conjecture for strongly invertible knots. and partition relations. cone structures. Moulin, Herve Claude, Problems in the Khalfan, Humaid F., Topics in quasi University of California, inverse dynamics solution for flexible Newton methods for unconstrained opti Riverside ( 1) manipulators. mization. Marshall, Kristen H., The asymptotic dis STATISTICS MATHEMATICS AND COMPUTER SCIENCE tribution of the likelihood ratio statistic AND APPLIED PROBABILITY under nonstandard conditions. Mehlman, Marc Harvey, Moving average Boneh, Shahar, Optimal stopping rules representation and prediction for multi Thunder, Jeffrey Lin, An asymptotic esti- for sums of non-negative independent dimensional strongly harmonizable pro mate for heights of algebraic subspaces. random variable. cesses. University of Colorado, Denver (2) Butler, Steven, The final size distribution University of California, and approximations for contact epi MATHEMATICS San Diego (II) demic models, and for some epidemic Liu, Chaoqun, Multilevel adaptive meth models in random environments. ods in computational fluid dynamics. MATHEMATICS Kafai, Mohammad, Some nonparametric Cai, Zhiqiang, Theoretical foundations Altschuler, Steven Jeffrey, Singularities tests based on "near-matches". for the finite volume element method. of the curve shrinking flow for space Sengupta, Debasis, Statistical inference University of Northern Colorado (3) curves. on discrete life-history data and some reliability problems. Au, Thomas Kwok-Keung, Approximat MATHEMATICS AND APPLIED STATISTICS ing epsilon-homotopy equivalences by University of California, Amin, Rashad M., Estimation of the homeomorphisms on 3-manifolds. Santa Cruz ( 1) power function for the Cochran Q test Bergeron, Nantel, On the hyperoctahedral and determination of confidence inter group. MATHEMATICS vals. Compton, Robert Christopher, Hamilton Valdes, Linda, Cycles and spanning trees Obrzut, Ann, Early ident(fication of cycles in the Cayley graph of SN and a in cubic graphs. school dropouts using modified inter doubly adjacent Gray code. action detection and two-group discrim inant analysis. Dong, Rui-Tao, Nodal sets of eigenfunc COLORADO tions on Riemann surfaces. Pelkey, William L., An investigation into the spatial randomness of crime series. Hong, Ho Siao, Generic determinantal Colorado School of Mines (2) identities and expansion theorems by MATHEMATICS CONNECTICUT diagonal elements. L., Marson, Mark Evan, Holomorphic exten Anderson, Paul Asymptotic results University of Connecticut (9) sion for solutions of locally integrable and identification for cyclostationary systems of complex vector fields. time series. MATHEMATICS Kovari, Louis D., Global constrained Slack, Michael David, A classification Hwang, Sunwook, Aspects ofcommutative theorem for homotopy commutative H null controllability of nonlinear neutral Banach algebras. spaces with finitely generated mod 2 systems. Jen, Kuo-Ching, Numerical investigation of periodic solutions for a suspension cohomology rings. Colorado State University ( 3) bridge model. Twainy, Fadi, The time decay of solu tions to the scalar wave equation in STATISTICS Ko, Seok-Ku, Embedding Riemann sur Schwarzschild background. Haas, Timothy Cadwell, Cognitive mod faces in Riemannian manifold. Welfert, Bruno Denis, A posteriori error eling with Bayesian belief networks. Shaker, Aihua, Maximum principle meth ods for semilinear elliptic problems. estimates and adaptive solution of fluid Ouyang, Zhao, Investigation on some flow problems. estimators and strategies in sampling, Xu, Xingwang, On Mobius groups of Riemannian manifolds. Wu, Lang-Fang, The Ricci flow on 2- proposed by Srivastava. dimensional orbifolds with positive cur Taylor, Charles H., Optimal measure Yom, Peter Dongjun, A characterization vature. ment designs when errors are correlated. of a class of torsion-free Abelian groups. NOVEMBER 1990, VOLUME 37, NUMBER 9 1233 Annual AMS-MAA Survey STATISTICS DELAWARE FLORIDA pa Chung, Younshik, On estimation of University of Delaware (2) Florida State University (5) rameters from compound power series distributions. MATHEMATICAL SCIENCES MATHEMATICS Liu, Pei-San Liao, On estimation of Kedzierawski, Andrzej Wladyslaw, In Diao, Yuanan, On the knotting of ran parameters and reliability from general verse scattering problems for acoustic domly embedded n-gons in 3-space. ized life models. waves in an inhomogeneous medium. Hu, Fang-Qiang, Confined supersonic Solanky, Tumulesh K. S., Some para Xu, Yongzhi, Direct and inverse scattering mixing layers: A computational in metric and nonparametric accelerated of acoustic waves in shallow oceans. vestigation of instability and mixing sequential procedures for selecting the enhancement. best treatment. DISTRICT OF COLUMBIA STATISTICS Wesleyan University ( 1) Pesnell, Brett D., Nonparametric meth American University ( 4) ods for imperfect repair models. MATHEMATICS MATHEMATICS AND STATISTICS Proschan, Michael A., Contributions to Garcia Ferreira, Salvador, Various order the theory of arrangement increasing Boria, Vittorio, Marin Mersenne: Educa functions. ings on the space of ultrafilters. tor of scientists. Ramakrishnan, Viswanathan, Analysis of Yale University ( 13) Modarres-Hakimi, Mohammad Reza, Fur cross-classified data using negative bino ther aspects of the tests of the equality mial models. MATHEMATICS of correlation matrices. University of Florida ( 3) Costanzo-Aivarez, Sabatino, A new link Mokatrin, Ahmad, The interval hypothe isotopy invariant. sis with applications to the problem of MATHEMATICS bioequivalence. Fang, Xiang, The Cauchy integral of Davidson, Jennifer, Lattice structures in Kate, The relationship of gen Calderon and analytic capacity. Sheehan, the image algebra and applications to der bias and standardized tests to the image processing. Hsieh, Chun-Chung, Direct and inverse mathematics competency of university Vondracek, Zoran, Special classes of scattering theory for the operator fh - men and women. a2 a2 excessive functions satisfying Harnack's iJXi- ayr· Catholic University of America (I) principle. Kang, Seok-Jin, Gradations and structure of Kac-Moody Lie algebras. MATHEMATICS STATISTICS Kim, Minhyong, Lower bounds for lat Susilo, Frans, A theory of Dirac integral Hoekstra, Robert Michael, Asymptoti tice vectors and arithmetic intersection spaces and the isomorphism between the cally pointwise optimal stopping rules in theory. category of these spaces and the category multiparameter estimation. Liu, Li-shi, Kostant 's formula for Kac of Lebesgue measure spaces. University of South Florida ( 4) Moody Lie algebras. George Washington University (5) MATHEMATICS Nakano, Daniel Ken, Projective modules of cer over Lie algebras of Cart an type. MATHEMATICS Chen, Li-Chen, On asymptotic tain hypergeometric functions and 6 - j Sedaghat, Hassan, New constructions in Rudnick, Zeev, Poincare series. symbols. semigroup compactification theory. Wu, Der-Chyi, A 2 x 2 scattering problem Li, Xin, Topics in approximation theory. associated nonlinear evolution and its OPERATIONS RESEARCH Shin, Ki-Yeon, Zeros of M-accretive op equation. Lindsay, Kenneth S., On accelerating an erators and abstract evolution equations singular integrals Wu, Sijue, Nonlinear iterative method to calculate the steady in Banach spaces. and analytic dependence. state distribution for finite aperiodic Sinkala, Zachariah, Existence ofsolutions Zhu, Chen-bo, Two topics in harmonic irreducible Markov chains. to boundary value problems for non analysis on reductive groups. Samuelson, Douglas Alan, Controlling linear systems of ordinary differential Zhu, Yongchang, Vertex operator alge queuing systems used for acquisition. equations at resonance. bras, modular forms and elliptic func tions. STATISTICS/COMPUTER AND GEORGIA INFORMATION SYSTEMS OPERATIONS RESEARCH/MANAGEMENT Lindblad, Anne, A nonparametric esti Emory University ( 1) SCIENCE mate of the optimum of a response MATHEMATICS AND Caldis, Grant Henry, Convertible bonds: curve. COMPUTER SCIENCE Pricing, tests of market efficiency, and Verme, Dante America, Effects of out Robinson, David Guy, Symmetric chain the intertemporal relation between mar liers on the cross-correlation function in decompositions of the lattice of sub ket and model prices. transfer function models. spaces of a finite vector space. 1234 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Annual AMS-MAA Survey Georgia Institute of Technology (4) ILLINOIS Kimura, Shun-ichi, On varzetzes whose Chow groups have intersection products MATHEMATICS Illinois Institute of Technology (2) with Q-coefficients. Jacquin, Arnaud E., A fractal theory of MATHEMATICS Martinez-Gamba, Irene, Asymptotic be iterated Markov operators with applica Horwitz, Judith A., Nonlinear stability of havior at the boundary of a semiconduc tions to digital image coding. a viscous axisymmetric jet. tor device in two space dimensions. James, Glenn E., Models of intracavity Makrides, Gregoris, Some numerical Merriman, Barry Lynn, Smooth particle frequency doubled lasers. studies of tubes conveying fluids. methods on bonded domains. Jones, Martin T., Universal constants in Perkinson, David Mark, Jet bundles and optimal stopping theory. Illinois State University (2) curves in Grassmannians. Smith, Dale Treece, Exponential decay MATHEMATICS Rich, Andrew Forrester, A Lefschetz of banded infmite matrices of resolvents Benson, Carol L. Trinko, Effect of com theorem for foliated manifolds. of linear difference and asymptotics puter instruction in finite mathematics Shen, Zhongwei, Layer potentials and equations. on student achievement and attitude. boundary value problems for parabolic University of Georgia (5) Zander, Shirley J., Applied mathematical lame systems of elasticity and a non module for use in a linear algebra service stationary linearized system of Navier MATHEMATICS course. Stokes equations in Lipschitz cylinders. Ding, Hongming, Some results on the Wu, Jyh-Yang, Finiteness theorems for Northwestern University ( 4) harmonic representation of U(p, q). Riemannian manifolds and Riemannian Elshamy, Maged A., On a stochastic MATHEMATICS fibre bundles. integrodifferential equation with respect Dinwoodie, Ian Hepburn, Large devia STATISTICS to a semiartingale taking values in the tions for censored data. Handcock, Mark Stephen, Inference for dual of a countably Hilbert nuclear Kraft, Roger, Intersections ofthick Cantor spatial Gaussian random fields when the space. sets. objective is prediction. Krishnamurti, Deepa, Resource alloca STATISTICS Kolassa, John Edward, Topics in series tion mechanisms for finite sets. Kim, Young Won, Empirical Bayes esti approximation to distribution functions. Snavely, Mark Richard, Markov parti mation for autoregressive processes. Rizzo, Louis P., Predictive regression tions for hyperbolic automorphisms of Lee, Sungduck, Large sample test for estimators of the finite population mean the two-dimensional torus. the multiplicative seasonal time series using functions of the probability of models. Southern Illinois University, selection. Carbondale ( I ) Lee, Sungho, Laws of large numbers for University of Illinois, Chicago ( II) 1 L (R). MATHEMATICS MATHEMATICS, STATISTICS AND Kocik, Jerzy, Lie tensors. HAWAII COMPUTER SCIENCE University of Chicago ( 18) Cao, Wei, Stability ofFredholm properties University of Hawaii ( 1 ) MATHEMATICS and interpolation of operators. MATHEMATICS Boisen, Paul Rudolph, The representation Cohen, Steven M., A geometric presen tation of some fundamental modules of Varieties with theory offully group-graded algebras. Wong, Chock You, Lattice Chevalley groups. weak distributivity. Buckley, Stephen Michael, Harmonic analysis on weighted spaces. Itai, Masanori, On strong Martin conjec ture. IDAHO Burchard, Paul, D-modules and singular varieties. Kwembe, Tor Anthony, Nonlinear diffu sion problems of mathematical biology. Idaho State University (2) Carlip, Walter, Regular orbits ofNilpotent groups in non-coprime. Mankus, Margo Lynn, Asymptotic anal MATHEMATICS of a voice-data communications Daskalopoulos, Georgios, The topology ysis Denseness of the gen Burgoyne, Janet, of the space of stable bundles over a model. eigenvectors of a restricted Cp eralized compact Riemann surface. Meng, Fan-Chin, Contributions to multi discrete operator in a Banach space. reliability theory. Farkas, Peter, Mathematical foundations state Kunicki, Catherine Mae, Normal preserv for fast methods for the biharmonic Pu, Kewei, Contributions to fractional ing linear transformations. equation. factorial designs. University of Idaho ( 1 ) Iozzi, Alessandra, Invariant geometric Siadat, Mohammad Vali, Norm inequali structures: a nonlinear extension of the ties for integral operators on cones. MATHEMATICS AND STATISTICS Borel density theorem. Srinivasan, Murali Krishna, Optimiza Lotspeich, Mark, On some recent de- Jabon, David Carl, The supercuspidal tion problems on posets and graphs. velopments of the Cauchy-Davenport representations of U(2, I) and GSP4 via Zhao, Wenxun, Optimal repeated mea Theorem. Heeke algebra isomorphisms. surements designs. NOVEMBER 1990, VOLUME 37, NUMBER 9 1235 Annual AMS-MAA Survey Zhou, KeCheng, Norm inequalities for Purdue University (23) STATISTICS Lacunary series. INDUSTRIAL ENGINEERING El-Krunz, Sadi Mahmoud, Bayesian opti mal designs for linear regression models. University of Illinois, Chao, Ping-Yi, Determination of manu Fan, Tsai-Hung, Convolution of t-densi Urbana-Champaign ( 12) facturability and machining parameters ties with application to Bayesian infer based on a new classification method for MATHEMATICS ence for a normal mean and scientific machinability. reporting. Charalambous, Hara, On lower bounds Drolet, Jocelyn, Scheduling virtual cellu Lee, Chung-Bow, Comparison offrequen- for the Betti numbers of finite length lar manufacturing systems. modules. tist coverage probability and Dutta, Debasish, Variable radius blends Bayesian posterior coverage probability, Chen, Mei-Qin, The updated subspaces and Dupin eye/ides. method in optimization and in solving and applications. Gibson, David C., Knowledge structures linear systems of equations. Oh, Man-Suk, Statistical multiple inte in human problem solving: Implication gration via Monte Carlo importance Ellers, Harald, Blocks and virtually irre for human-interactive tasks. ducible lattices. sampling. lrizarry-Lopez, Vilma, A methodology Girardi, Maria, Dunford-Pettis operators for the automatic generation of pro University of Notre Dame (6) on L 1 and the complete continuity cess plans in an electronic assembly MATHEMATICS property. environment. Holsey, Mickey Charles, Boolean valued Gao, Weiqi, The unimodular Mange Roy, Utpal, Computer aided represen dimensional probabilistic metric spaces. Ampere equation: the two tation and analysis of geometric toler case. Keum, Byoung Joon, Numerical varia ances. lvo, Some model theory of mod tional methods in differential geometry Herzog, Shodhan, Ronak, COMAND: A computer ules. and applications to computer science. consultant for the design, operations, Hurlburt, Kelleen, Sufficiency conditions Lou, Shituo, A new upper bound in the and control of flexible manufacturing for theories with recursive models. linear sieve and its applications. systems. Lahtonen, Jyrki, Composition factors of Sheu, Tsung-Luen, On the nilpotent in Fataneh, Scheduling and con Taghaboni, induced modules. jectors of the genera/linear groups. trol of manufacturing systems with criti Leganza, Krystina Kay, Representations Julie Dennery, Bounds on the cal material handling. Simon, of exceptional Lie algebras restricted to cardinalities of families of neighborly Efficient faces of a Trafalis, Theodore, subalgebras. and nearly neighborly polytopes. polytope: Interior methods in multiob Ru, Min, The second main theorem for com jective optimization. Streid, David, The computational moving targets. plexity of prefix classes of logical theo Trappey, Juifen, Methodology for auto ries. matic fixture design in computer inte IOWA Sun, Ye Neng, Nonstandard theory of grated environment. University (16) vector measure. MATHEMATICS Iowa State Zivaljevic, Bosko, Hyperfinite transversal Campbell-Wright, Randall K., On the MATHEMATICS theory. equivalence of composition operators. Amin, Wael A. Ahmad, Compact posets Chen, Jui-Hsin, Estimates ofthe invariant and ramifiability of large cardinals. INDIANA metrics on complex domains in en. Anderson, Jeffrey R., Qualitative studies Choi, Sangki, Betti numbers and the of a convective porous medium equation Indiana University (6) integral closure of ideals. with a nonlinear forcing at the boundary. MATHEMATICS Ghorpade, Sudhir Ramakant, On the enu Babakhani, Ali, Theory of multidimen transforms and boundary Basak, Gopal Krishna, Stability and meration and independence of standard sional Laplace value problems. functional central limit theorems for Young tableaux of higher width. degenerate diffusions. Joshi, Sanjeevani Balkrishna, Various Coyle, James J., The numerical solution of differential-algebraic systems using Eden, Alp Osman, An abstract theory correspondences between multitableaux Runge-Kutta methods of special type. of L-exponents with applications to and multimonomials. dimensions analysis. Marley, Thomas John, Hilbert functions Fuh, Cheng-Der, The bootstrap method for Markov chains. Horton, Clark Dean, Stability of non of ideals in Cohen-Macaulay rings. singular group orbits. Noh, Sun Sook, Multiplicities and reduc Tantawy, Abdalla Sayed, Oscillation and nonoscillation of third-order functional Kyung-Hee, On unbounded Bergman tions of adjacent integrally closed ideals Jin, differential equations. operators. in a 2-dimensional regular local ring. Martin, Nicholas Anthony, Special prop Thoma, Apostolos Thomas, Complete STATISTICS erties of Bishops's operator. intersections. Andrews, Douglas Martin, Nonpara Woodard, Mark Richard, Invariants of Yang, Agnes, A construction of Krein metric analysis of unbalanced paired surgered, sewn link exteriors. spaces of analytic functions. comparison or ranked data. 1236 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Annual AMS-MAA Survey Davis, Paula Marie, Evaluation and pre KANSAS University of Southwestern diction ofmaize response to early-season Louisiana (9) Kansas State University ( 3) injury from stalk borer. MATHEMATICS Funo, Eiichiro, Proving admissibility us MATHEMATICS Clay, Ellen, Semicontinuous groups ing the stepwise Bayes technique: With Uvah, Josaphat, Monotone iterative tech- applications to maximum likelihood es Obeid, Mustafa Ali, Pastings and centeria nique for nonlinear first order singular timation. of orthoalgebras. systems of differential equations. Gotway, Carol Anne, Inference from Park, Eunsoon, Path-connected ortho parabolic spatial processes. modular lattices. Wong, Benedict, Singular boundary value problems. Grondona, Martin Oscar, Design and STATISTICS estimation with correlated observations. STATISTICS Tafour, Aly, Maximum likelihood esti Hulting, Frederick Landis, Some Davis, Robert, The mathematical theory mators of regression parameters with Bayesian and non-Bayesian procedures of evolutionary size games. randomly censored lifetime data. for the analysis of comparative exper Hebert, Jaimie Layne, Risk Antagonism iments and for small-area estimation: University of Kansas ( 1) in two-person noncooperative games. Computational aspects, frequentist prop Laviolette, Michael James, On the efficacy MATHEMATICS erties, and relationships. offuzzy representations of uncertainty. Lin, Chiou-Hua, Powers of two-sample Jenab, Albert, Harmonic analysis on Maine, Mary Keller, Using order statistics rank tests under Lehmann alternatives. symmetric Hilbert manifolds and second to detect the number of components in Sullivan, Gary Robert, The use of added quantization. a finite mixture having normal compo error to avoid disclosure in microdata nents. releases. KENTUCKY Nayebpour, Mohamad R., Economic de Symanowski, James Thomas, Multivari sign ofon-line quality control procedures ate distributions with applications to University of Kentucky ( 5) for attribute characteristics. logistic regression models for correlated MATHEMATICS Saadat, Majid, Estimation of parameters categorical responses. in a mixture of gamma distribution Belshoff, Richard George, On Mattis Zakaria, Rahmat Syahni, On the non failure models when data are grouped. monotonicity of component importance reflexive modules. measures for linear consecutive-K-out Choe, Hi Jun, Regularity for the mini MARYLAND ofN systems. mizers of certain singular functionals. Johns Hopkins University (6) Goddard, Mark Arden, Projective covers University of Iowa (8) of complexes. BIOSTATISTICS APPLIED MATHEMATICAL SCIENCES Vogel, Andrew Lee, Boundary regular Qaqish, Bahjat, Multivariate regression Wills, Randall Gordon, Resolution of the ity and symmetry for regions having models using generalized estimating multiplicity problem for U(N) using a solution to certain over determined equations. shift operators. boundary value problems. Waclawiw, Myron, Extension of the Stein Yen, Jeng, Numerical methods for con through the use of STATISTICS estimating procedure strained equations of motion in mechan estimating functions. ical systems dynamics. Truszczynska, Helena, Robustness in Bayesian analysis. MATHEMATICAL SCIENCES MATHEMATICS Chang, Yaw Oliver, Network program Lund, Eric, Right orders in semisimple LOUISIANA ming models for ecodevelopment global semigroups. optima. Park, Chin-Hong, The direct product and Louisiana State University, Krass, Dmitry, Contributions to the the module-like properties of automata. Baton Rouge (2) ory and applications of Markov pro Timm, Mathew, The local topology of cesses. MATHEMATICS some nonisolated singularities. MATHEMATICS Palfrey, Thomas, Density theorems for STATISTICS AND of reciprocity equivalences. Ishibashi, Makato, Effective version ACTUARIAL SciENCE the Tschebotareff density theorem in Helmuth, Lp-regularity Dobler, Carolyn Pillers, A class of rank Ruge, Michael function fields. and extrapolation. multiple contrast tests for one-sided Kameko, Masaki, Products of projective comparisons of treatments. Tulane University (2) spaces as Steenrod modules. Nandram, Balgobin, Bayesian predictive University of Maryland, Baltimore (2) inference for longitudinal and multivari MATHEMATICS ate surveys. Park, Mi Ai, Model equations in fluid MATHEMATICS Rathmann, Mark, Strong limiting bounds dynamics. Pal, Nabendu, Decision theoretic estima for statistics based on moving subsets of Pickett, Douglas, Scattering theory for tion of location and scale parameters in random variables. higher order equations. exponential families. NOVEMBER 1990, VOLUME 37, NUMBER 9 1237 Annual AMS-MAA Survey Wang, Ping, Homogenization of an inho Winters, Robert, Bifurcations in fam MATHEMATICS mogeneous degenerate elastic material. ilies of antiholomorphic functions in DiPippo, Stephen A., Spaces of rational biquadratic maps. University of Maryland, functions on curves over finite fields. College Park ( 17) Brandeis University (2) Hildebrand, Martin, Rates ofconvergence MATHEMATICS of some random processes on finite MATHEMATICS Bremigan, Ralph Joseph, Reductive groups, groups. Chen, Kang, An economic model of algebraic quotients, and real structures. Kouvidakis, Alexander, Divisors on some China. Ding, Songqing, Cohen-Macaulay ap moduli spaces. Chen, Senhuei E., A discontinuous so proximations over Gorenstein local Lu, Steven Shin-Yi, On meromorphic lution to a nonlinear elliptic-hyperbolic rings. maps between algebraic varieties with system. log-general targets. Harvard University (29) Draper, Patricia, Pick-Nevanlinna inter Shi, Wan-Xiong, Ricci deformation ofthe polation on an annulus. APPLIED SCIENCES metric on complete noncompact Kahler Drumm, Todd A., Fundamental polyhe Fu, Michael Chung-Shu, Optimization manifolds. of queueing systems using perturbation dra/or Margulis space-times. Shpiz, Edward, Deligne's conjecture in analysis. Guo, Meihui, Inference for nonlinear the constant coefficient case. Gereb-Graus, Mihaly, Lower bounds on time series. A., Nonexistence ofalmost parallel, distributed, and automata com Stong, Richard Heil, Christopher Edward, Wiener amal on topologicalfour putations. handlebody structure gam spaces in generalized harmonic manifold pairs. analysis and wavelet theory. Graham, Paul, The state of a program and its use. Tan, Ki-seng, Refined conjecture of the Johnson, Aimee Sue, Measures on the and Swinnerton-Dyer type. Hu, Jian-Qiang, Strong consistency of Birch circle invariant under a nonlacunary infinitesimal perturbation analysis esti Wang, Yang, Image segmentation by subsemigroup of the integers. mates. variational method and elliptic boundary Kerby, Rodney, The correlation function Mihail, Kalomira-Eieni, Combinatorial value problems. and the Wiener-Wintner theorem in aspects of expanders. higher dimensions. STATISTICS Montgomery, Michael T., Potential vor estimation in Almond, Russell G., Fusion and propa Lee, Chin San, Parameter ticity and diabatic processes in frontal with application to gation of graphical Beliep models. branching processes dynamics. tumor growth. Gelman, Andrew Eric, Topics in image Myers, Joseph Dwan, Streamwise vortices emmision tomogra McElvany, Michelle Carter, Guaran in laminar-turbulent transition. reconstruction for deadlines for hard real-time fault phy. teed Neal, Lisa F., The role of user models in tolerant distributed system. system design. Massachusetts Institute of divisibil Nestor, Jean-Bernard, Linear Reiter, Ehud R., Generating appropriate Technology (24) ity recurrence sequences and primality natura/language object descriptions. testing. MATHEMATICS Zhang, Bin, Performance gradient esti Phillips, Mark Bryan, Dirichlet polyhedra mation for very large Markov chains. Gonzalez-Barrios, Jose M., On von Mises in complex hyperbolic space. functionals with emphasis ontrace class BIOSTATISTICS Schwab, Christoph, Dimensional reduc kernels. Eric, Issues of efficiency in tion/or elliptic boundary value problems. Buyse, Marc cancer clinical trials. Howell, Louis Hill, Computation of Swearingen, Daniel, Graph continuity of conformal maps by modified Schwarz Hilton, Joan Frances, Exact size and the Cauchy-Riemann operator. Christoffel transformations. power of conditional tests for categorical Wang, Wen-Yu, Statistical inference for data. Huang, Rosa Huang, Combinatorial meth Markov processes. aggregated Larholt, Kay Marice, Statistical methods ods in invariant theory. Woo, Ching Wah, Nonlinear P.D.E. and and heterogeneity in meta-analysis. Loeb, Daniel E., The iterated logarithmic optimal control with integral constraint. Ng St. Louis, Jennifer, Compartmental algebra. Yang, George Keith, Applications of models of chronic disease. Lu, Shirong, Modular invariant represen Wiener-Tauberian theorem to afiltering Pampallona, Sandro, I: Alcohol con tations and their applications. problem and convolution equations. sumption and breast cancer; 2: Group McDonald, Patrick, The Laplacian for sequential methods for clinical trials. spaces with cone-like singularities. MASSACHUSETTS Sleeper, Lynn A., Regression spline Newman, Mark J., Randomness and methodology for covariate effects in robustness in hypercube computation. Boston University (2) the proportional hazards model. Prato, Elisa, Some symplectic invariants MATHEMATICS Walsh, Steven J., Exact nonparametric of Hamiltonian K-actions. Odell, Patricia M., Interval-censored out methods. Purtill, Mark R., Andre permutations, comes and time-dependent covariates in Wang, Fong, Methods for analyzing lon lexicographic she/lability, and the cd accelerated failure time models. gitudinal random effects models. index of a converse polytope. 1238 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Annual AMS-MAA Survey Reiner, Victor Schorr, Quotients of Cox Ould-Rouis, Hamid, Invariance pnnct Richard, Philip Henry, Dilation of oper eter complexes and P partitions. ples and self-normalizations for sums ator valued measures in Banach spaces Sadofsky, Henry J., The root invariant trimmed according to choice of influ and Harmonizable Banach spaces val and v 1-periodic families. ence function. ued processes. Shi, Yingqi, On sequential procedures Shastri, Aditya, On some extremal prob University of Massachusetts, based on the minimum distance estima lems in combinatorics and graph theory. Amherst (5) Souza, Regina P., Multiplicity-free actions tor and robustness. MATHEMATICS AND STATISTICS and the image of the moment map. University of Michigan, Stenzel, Matthew B., Kahler structures Khan, Mizan Rahman, Computation of Ann Arbor (22) on cotangent bundles of real analytic partial zeta values at s = 0 for a totally BIOSTATISTICS Riemannian manifolds. real cubic base field. Wagner, David Gustav, Enumerative Krone, Stephen M., Local times for Ploughman, Lynn M., Estimating the combinatorics of partially ordered sets, superprocesses. power of a proposed linkage study. and total positivity of Hadamard prod Moran, Judith F., The role of the corona Tan, Hsien-Jane, A canonical approach ucts. in determining global properties of ho for grouping categories in tables and Waleffe, Fabian A., The 3-D instability mogeneous tilings in the euclidean and other problems. of a strained vortex and its relation to hyperbolic planes. INDUSTRIAL AND OPERATIONS turbulence. Riedel, Thomas, Cauchy's equations on a ENGINEERING Wu, Siyc, Functional determinants in space of distribution functions. mathematical physics. Benson, Peter, A calculus for infinite Wilce, Alexander Griffin, The signed horizon optimization. The residue complex Yekutieli, Amnon, weight space of a tensor product. and duality for some noncommutative Gan, Jacob, Spherical algorithms for rings. setup orientations of workpieces with MICHIGAN sculptured surfaces. OPERATIONS RESEARCH Houshmand, Ali, Discriminant function Caulkins, Jonathan P., The distribution Michigan State University ( 13) analysis for autocorrelated data; Appli and consumption of illicit drugs: some cations in cutting tool monitoring. and their policy MATHEMATICS mathematical models Kim, David S., Aggregation in large scale implications. Curtis, Frank J ., Cohen-Macauley Markov chains. Eckstein, Jonathan, Splitting method for unions of lines in Pi: and the Cohen Lee, Heungsoon, A design methodology monotone operators with applications to Macauley type. for flexible assembly systems. parallel optimization. Dimitric, lvko, Quadric representation Lifshitz, Yair, Models of upper limp Hall, Leslie Ann, Two topics in discrete and submanifolds offinite type. ergonomic stresses based on analysis of optimization: polyhedral structure of Nikolopoulos, Panagiotis V., An algo job attributes. capacitated trees and approximation for non-negative least error mini rithm Radson, Darrell, Experimental design in algorithms for scheduling. solutions. mal norm the presence of an uncontrollable vari Luo, Zhi-Quan, Communication com Tazawa, Yoshihiko, Differential geometry able: model characteristics and design plexity of some problems in distributed of slant surfaces. augmentation in a front end alignment computation. Yamashita, Masahiro, Geometry of the experiment. Tan, Kok-Choon, Newton's method for Melnikov vector. parametric center problems. MATHEMATICS Zhang-Sun, Hong, On the Galerkin Zhang, Hongtao, Cyclic scheduling in a method with vector basis functions. Aberbach, Ian M., Finite phantom projec stochastic environment. tive dimension and a phantom analogue STATISTICS AND PROBABILITY Northeastern University ( 3) of the Auslander-Buchsbaum theorem. Gogate, Jagadish P., Compound esti Boucher, Kenneth M., Similitudes of sur MATHEMATICS mation of parameters of right-censored face mapping class groups, and reducible Estimation of Poisson Chen, Yah-Wei, exponential families. outer automorphisms offree groups. mean under restricted parameter space. Gunawardena, Chitra, Finite state k Cochran, Webb George, Random Blaschke Lin, Hwei-Jen, On two-dimensional iso extended set compound decision prob products. metric array grammars and applications lem. Coker, Curtis Charles, Two problems in to pattern recognition. Kinateder, John, An invariance principle algebraic combinatorics. Ma, Xiaoyun, The Laplacian on complete application to the bootstrap. Khodja, Mohamed, Nonlinear stability of manifolds with warped cylindrical ends from some and its application. Lahiri, Soumendra Nath, Bootstrap ap oscillatory traveling waves proximations to the distributions of systems of hyperbolic conservation laws. Tufts University (2) M -estimators. Lee, Jungseob, On the constant in the MATHEMATICS Perera, Priyantha Liyanage, Behavior ofa Turan-Kubilius inequality. Chen, Liang, On the shadowing property diffusion process on 2-dimensional torus Malarkey, Martin M., Cyclotomy and for piecewise monotone maps. with application to phase locked loops. block designs in cyclic neofields. NOVEMBER 1990, VOLUME 37, NUMBER 9 1239 Annual AMS-MAA Survey Park, Chan-Young, Homotopy groups of Ondich, Jeffrey Robert, Partially invari Perez, Carlos, Weighted norm inequalities automorphism groups of some Seifert ant solutions of differential equations. for potential and maximal operators. fiber spaces. Ouyang, Tiancheng, On the positive solu Soria, Javier, Tent spaces based on Rickert, John H., Simultaneous rational tions of semilinear equation !!u + 1\u + weighted Lorentz spaces. Carleson mea approximations and related diophantine huP = 0 on Riemannian manifold. sures. equations. Padron, Victor, Sobo!ov regularization of NEBRASKA Wass, Noel C., Algebraic independence of some nonlinear ill-posed problems. University of Nebraska ( 3) the values at algebraic points of a class Postol, Michael Samuel, Realization of offunctions considered by Mahler. homotopy equivalences by homeomor MATHEMATICS AND STATISTICS STATISTICS phisms. Diaz, Gerald, Applications of cone theory Tabara, Tatsuhiko, An asymptotic analy Chang, Chienming, Bayesian nonpara to boundary ~·alue problems. sis and stokes multipliers for a second metric prediction based on censored Goddard, Bartley Earl, A .finite Dirichlet order linear d(fferential equation with data. series related to Newman polynomials. polynomial coefficients. Chen, Zen-Yi, Robust linear discrimi Peil, Timothy Scott, Criteria for discon Taboada, Mario, Long-time beha1•ior of nant procedures using projection pursuit jugacy and disfoca!ity for an nth-order the Kuramoto-Sivashinsky equation and methods. linear difference equation. related problems. Gunderson, Brenda Kirsten, Estimating Taylor, Stephen William, Gevrey regular NEW HAMPSHIRE the dimensionality in canonical correla ity for solutions of evolution equations tion analysis. Dartmouth College ( 1 ) and exact boundary controllability. Wayne State University ( 1 ) MATHEMATICS AND Wang, Xuefeng, On Cauchy problems for COMPUTER SCIENCE relation-d(flusion equations. MATHEMATICS Stellpflug-Mandych, Karen Marie, Dis Lai, Hongyuan, All over designs. MISSISSIPPI crete representations of semiorders. Western Michigan University (3) University of Mississippi ( 1) NEW JERSEY MATHEMATICS AND STATISTICS MATHEMATICS Princeton University ( 10) Kubicka, Ewa Maria, The chromatic sum Mortabit, Abdes-Samad, A periodic re MATHEMATICS and efficient tree algorithms. sult for a nonlinear functional integral Demichelis, Stefano, Group actions on Kubicki, Grzegorz, Greatest common sub equation. four-dimensional manifolds. graphs. MISSOURI ofKloosterman Rao, Sudhakar, Measures of partial asso Fisher, Benji, Distinctness University of Missouri, Columbia ( 1) ciation based on rank estimate. sums. STATISTICS Hu, Sen, A proof of C' stability for 3-dimensiona/.flows. MINNESOTA Bandyopadhyay, Dipankar, Some uni Kenyon, Richard, Self-similar tilings. University of Minnesota, variate and multivariate problems with Pan, Yibiao, Estimates for oscillatory Minneapolis ( 16) applications in reliability theory. singular integral operators. University of Missouri, Kansas City MATHEMATICS Rognes, John, The rank filtration in Chen, Bin, On singularities of a class of (I) algebraic K -theory. p-harmonic maps. MATHEMATICS Schramm, Oded, Packing two-dimen bodies with prescribed combina Chen, Hwa-Nien, On the stability of a So, Shing Seung, Nets and convergence sional population model with sexual reproduc spaces. torics and applications to the construc tion on zd (d ;::: 2). tion of conformal and quasiconformal University of Missouri, Rolla (2) Cooke, David Barton, Hamiltonian sys mappings. tems of evolution equations. MATHEMATICS AND STATISTICS Seco, Luis Angel, Lower bounds for the ground state energy of atoms. Finnegan, Timothy Patrick, Siegel Kuhlmann, Dietrich William, Properties Hilbert modular forms of level one of estimators of concave regression func Silverman, Judith Hava, Subgroup condi over.fields with narrow class number one tions. tions for groups acting freely on products of spheres. are theta series. McKee, Rhonda L., Semigroups of func Hu, Bei, Nonlinear problems in partial tions on nearness spaces and near Smith, Hart Francis, The subelliptic differential equations. completely homogeneous spaces. oblique derivative problem. Kim, DaeSan, Galois symmetric square Washington University ( 3) Rutgers University, New Brunswick L-functions. ( 19) Kim, Dongsu, A combinatorial approach MATHEMATICS to biorthogonal polynomials. Paulsen, William Harold, Upper and MATHEMATICS Norton, Douglas, A metric approach to lower bounds for the Hausdorff dimen Hurlbert, Glenn, Universal cycles: On the Conley decomposition theorem. sion of self-affine sets. beyond DeBruijn. 1240 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Annual AMS-MAA Survey Husu, Christiano, Extensions of the Ja Merrin, Christine Rossi, Simply presented MATHEMATICS cobi identity for vertex operators and valuated modules. Chace, Charles Everette, The number of standard A i1 ) -modules. Merrin, Stephen D., Some constructive ways of writing an integer as a sum of Kang, Seong Joo, Conormal and piecewise results in the elementary theory of Lie three products of l factors . smooth solutions to quasilinear wave algebras. Chen, J ianer, Distributional properties equations. Peeples, Joanne V., Oligopoly. of graph embeddings on topological surfaces. Karwowski, Andrzej Joachim, Asymptotic University of New Mexico (2) models for a long elastic cylinder. Falbel, Elisha, Nonembeddable CR man Ostapenko, Peter, Gevrey completions of MATHEMATICS AND STATISTICS ifolds and surface singularities. enveloping algebras and Whittaker maps Fahimi, Mansour, Optimal integration of Lockhart, Paul Thomas, Diophantine for semisimple Lie groups. surveys and controlled selection. equations and the arithmetic of hy perelliptic curves. Petersen, Johannes Asmus, On the hy Tapia-Aguilar, Julian, Stochastic analysis John, Applications of poellipticity of the tangential Cauchy of the channeling problem. Trapp, Rolland Riemann operator. crossed-homomorphisms of the mapping class group M. Prevost, Shari, Vertex operators and inte NEW YORK Asymptotics gral bases of affine Lie algebras. Wentworth, Richard Alan, of the Arakelov-Green 's function and Rodriguez-Carrington, Enriqueta, Kac Adelphi University (2) Failings' delta invariant. Moody groups: An analytic approach. MATHEMATICS AND COMPUTER SCIENCE Xu, Peijun, Applications of cyclic presen Rosenbaum, Zangwill, Foundations and Glass, Richard, Polarizability of the hy tation of braid groups and the growth of techniques of dimensional analysis. drogen atom by an electric field. positive braid semigroups. Ross, Raymond A., K2 of elliptic and Harding, Nicholas James, The nerve Fermat curves. Cornell University ( 31) impulse and mathematical models of APPLIED MATHEMATICS Tesman, Barry Allen, T-colorings, list T neurons. colorings, and set T-colorings of graphs. Crone, Brian James, Existence of equi Wehr, Jan, Effects of quenched random CUNY, Graduate Center (4) libria in incomplete information games with disturbed payoffs. ness in statistical mechanics. MATHEMATICS Wysocki, Krzysztof, Weak and strong Hempel, Christian George, A globally Isaacs, Frank D., Commutation and de ergodicity for solutions of ordinary dif convergent quadratic penalty function indices: Comparing t* t and ferential equations. .ficiency method with fast local convergence prop tt*, where t is an ordinary differential erties. STATISTICS operator with smooth coefficients. Hulbert, Laurie Ann, Solving large sparse Doll, Jeanne Marie, Empirical Bayes Jia, Xing-De, Some results in additive quadratic programs with simple bounds. estimation in contingency tables with number theory. Kiemel, Tomothy Lee, Three problems constrained margins. Jiang, YunPing, Generalized Ulam-von from the mathematics of neural oscilla Hsu, Yu-Sheng, On conditional discrete Neumann transformations. tions. density estimation. Wang, Ming, AD-C.R. geometries in di Plassmann, Paul Eugene, The parallel Messig, Michael Anthony, Estimation in mension 4. solution of nonlinear least-squares prob lems. dichotomous quanta/ response models. Clarkson University ( 3) Pickering, Evelyn Hannah, Patterns of BIOMETRICS MATHEMATICS AND identity by descent in a stochastic mating Victor, On the vari COMPlJTER SCIENCE Stehman, Stephen system. ance and variance estimators of the Tappin, Linda Anne, Estimation of the Abu-Jaradeh, Nafiz D., Differential equa Horvitz-Thompson estimator for vari parameter of a selected binomial popu tions on graphs. able probability systematic sampling. lation. Bier, Martin, Singularity analysis of MATHEMATICS Zhang, Zhi Yi, Recovery of interblock chaotic behavior and related problems Bianco, Steven Anthony, A stochastic information in a balanced incomplete of nonlinear dynamics. epidemic in a large population. block design with interaction. Bradie, Brian David, Comprehensive sim Brittenham, Mark William, Essential ulation of photolithographic processes in Laminations in Seifert-Fibered spaces. NEW MEXICO two and three dimensions. Fisher, Yuval, The classification of criti Columbia University (9) New Mexico State University ( 4) cally preperiodic polynomials. STATISTICS Lee, Ping, On the vector-scalar potential MATHEMATICAL SCIENCES formulation of the three-dimensional Li, Zhaohai Li, Asymptotically optimal Losta, Mansor, Numerical methods for eddy current. sequential allocation rules. solving singular perturbation problems Lin, Ming, The convergence ofU(l) gauge appearing in elasticity and radiative Tang, Mingxin, Statistical analyses for theory on random lattices in three transfer. doubly-censored data. dimensions. NOVEMBER 1990, VOLUME 37, NUMBER 9 1241 Annual AMS-MAA Survey Lipton, James B., Relating Kripke models Ngwengwe, Alasford Mapulanga, Mea Schirmer, Pedro, Global existence for and realizability. sures of association for two-way tables spherically symmetric Yang-Mills fields McCarthy, Randolph, Cyclic homology of of continuous or binary data. on IR 3+!. Michael, An analytical and nu an exact category. New York University, Siegel, merical study of singularity formation Neuhauser, Claudia, Ergodic theorems for Courant Institute (24) the multitype contract process. in the Rayleigh-Taylor problems. MATHEMATICS Noble, Christopher Francis, Equilibrium Sneyd, Alfred James, Construction and behavior of the sexual reproduction Affouf, Mahmoud, Numerical study of analysis of a model for phototransduc process. dynamic phase transitions for a system tion in turtle coves. Wijesekera, Duminda, Constructive of conservation laws of mixed type. Sorets, Eugene, Positive Lyapunov ex modal logics. Braga, Gastao de Almeida, The two ponents for Schrodinger operators with Zhang, Yu, A power law for connectedness dimensional lattice coulomb gas at low quasi-periodic potentials. of some random graphs at the critical temperature. Tu, Cheng, A study ofstability in the com point. Bruno, Oscar, The effective conductivity putation of flows with moving emersed of an infinitely interchangeable mixture. elastic boundaries. OPERATIONS RESEARCH Cai, Xiao-Chuan, Some domain decom Wang, Lihe, On the regularity theory of Loerch, Andrew, A new approach to position algorithms for non-self-adjoint fully nonlinear parabolic equations. production planning, scheduling, and and parabolic partial differential elliptic Rensselaer Polytechnic Institute (6) due-date quotation in manufacturing equations. systems. Chang, Chih-Chung, Nonequilibrium fluc DECISION SCIENCES AND Sewell, Edward C., Stability critical tuations for a system in hydrodynamic ENGINEERING SYSTEMS graphs and the stable set polytope. scaling. Alloway, James A., Jr., Robust and non Shallcross, David Frank, Two investi Davidow, Amy Lynne, On Casson's in parametric quality control methods with gations in combinatorial optimization: variant of branched cyclic covers over extensions to the bivariate case. approximate solution of large traveling sJ. Beam, Kevin M., Constructive multi salesman problems arising from x-ray Furtado, Frederico, Structural stability of variate methods for data anlaysis and diffraction experiments; relatively tran nonlinear waves for conservation laws. modeling. sitive subgraphs. Gleason, Stewart Hart, Hessian determi Hussain, Hidayat, An experimental in Henry, Chains of bounded length Shum, nants of harmonic functions. vestigation of the interaction between and antichains of bounded width in Francis, Harmonic displays and models in multiple-criteria partially ordered sets. Grotowski, Joseph maps with symmetry. decision support. Tate, David, Due-date based performance On some nonlinear Makuch, William M., Optimizing the measures in dynamic stochastic manu Han, Zhengchao, differential equations. collection of delinquent consumer credit. facturing systems. ordinary and Cauchy problem of Park, Tae Hoon, A bivariate Pareto Distri Yamagami, Shin, Generalized linear mod Kan, Pui Tak, On the x of nonstrictly hyperbolic bution characterized by linear memory. els. a 2 2 system conservation laws. Yucesan, Enver, Simulation graphs for MATHEMATICAL SCIENCES Li, Congming, Some qualitative properties design and analysis of discrete event Wagner, Barbara, Optimum hypersonic of fully nonlinear elliptic and parabolic simulation models. airfoils with attached shocks. equations. Zhu, Yixin, Markov-modulated stochastic scale SUNY at Albany (3) storage processes. Maesumi, Mohsen, Approximate breaking nonlinear elementary waves MATHEMATICS AND STATISTICS STATISTICS for two-phase incompressible flow in Bonner, David, Circle actions on simply Behaxeteguy, Maika Marie-Francoise, Two porous layered media. connected five-manifolds. stage selection procedures with bounded Mathew, Tarek, Domain decomposition selected subset size in the first stage. and iterative refinement methods of Fontaine, Anne, Polyomino frames and the Heesch problem. Forbes, Andrew Benjamin, Asymptotic mixed finite element discretizations of properties of log odds ratio regression es elliptic problems. Rajia, Abbess, New class of nonpara timators with sparse strata and covariate Nesi, Vincenzo, Extremal microgeome metric rate function estimates under measurement error. tries for polycrystalline composites. censored and uncensored cases. Goutis, Constantinos, Improved invariant Noelle, Sebastian, Cauchy problems for SUNY at Binghamton ( 4) set estimation of a normal variance with the complex Burgers Equation in one generalizations. and two-space dimensions. MATHEMATICAL SCIENCES Greenshtein, Eitan, On some decision Quastel, Jeremy, Diffusion of colour in Chen, Maiwei, Contributions to estima theory problems in sequential analysis. the simple exclusion process. tion theory of LLPD time series. McShane, Lisa Meier, Statistical qual Rezakhanlou, Fraydoun, Hydrodynamic Holmes, M. Randall, Systems of com ity control procedures for monitoring limit for a system with finite range binatory logic related to Quines "new laboratory analyses. interactions. foundations". 1242 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Annual AMS-MAA Survey Morse, Robert F., Levi-properties in Ciriza, Eleanora, The symplectic structure NORTH CAROLINA groups. of submanifolds of Kahler manifolds of Yeh, George Fangchou, Closed subclasses nonpositive curvature. Duke University ( 4) of M -groups. Dai, Xianzhe, Adiabatic limit, non multiplicativity and Leray spectral se MATHEMATICS SUNY at Buffalo (9) quence. Grassi, Antonella, Minimal models of MATHEMATICS Dolan, Peter C., Spanning structures and elliptic threefolds. Ibbotson, Jeffrey James, The range of undecidability in random graphs. Landsberg, Joseph Montague, Minimal convolution operators in spaces of gen Lima Filho, Paulo, Homotopy groups of submanifolds defined by .first order sys eralized distributions. cycle spaces. tems ofPDE. Lu, Zhu-Qi, Gevrey regularity and growth Payne, Kevin Ray, Smooth-tame Frechet McLean, Robert Cochrane, Deformations of solutions of convolution equations. algebras and Lie groups of pseudodiffer and moduli of calibrated submanifolds. Rajan, Dayanand Sundara, Differentia ential operators. Shin, Dong Kwan, Pluricanonical maps tion and integration ofthe combinatorial Polin, Lawrence, Pseudo-differential op of threefolds of general type. species of Joyal. erators on nilpotent Lie groups with Shih, Chih-wen, On a priori estimates of dilations. North Carolina State University, nonlinear stability in spherically sym Pontecorvo, Massimiliano, On twistor Raleigh (14) metric stellar dynamics. spaces of anti-self-dual Hermitian sur Tripathi, Amitabha, Topics in number faces. MATHEMATICS theory. Thornber, Mark, Vanishing theorems for Chang, Yu-Hsien, Dichotomies for ab STATISTICS quantrionic Kahler manifolds. stract reaction-diffusion equations. Wei, Guofang, Aspects of positively Ricci Kim, Chul, A classification of the finite Brunner, Lawrence Jerome, Bayes pro curved spaces: New examples and the rings with unity by computable means. cedures for elliptically symmetric uni fundamental group. modal densities. Li, Hui, Rings with infinite sums. Oh, Changhyuck, Estimation using dis Syracuse University (3) Li, Zhongshan, The embedding of rings crete observations in the simple stochas in regular rings and n-regular rings. tic epidemic and the birth and death MATHEMATICS Marquardt, Vera Katharina, Factoring process. Anderson, Vivian, Women in engineering the group of units of a ring. Park, Hyo-Ill, Bivariate control median programs: a qualitative study. Yakubu, Abdul-Aziz, Global stability, tests for complete and right-censored Enos, Michael John, Angular momentum bifurcation, and chaos in discrete com data. optimization of rigid body trajectories. petitive systems. Park, Sang-gue, Nonparametric tests for Tin to, Patricia Price, Students' views on the simple tree alternatives. STATISTICS learning proof in high school geometry: SUNY at Stony Brook ( 15) An analytic-inductive approach. Chang, Ming-Chun, Testing for overdif ference. APPLIED MATHEMATICS AND STATISTICS University of Rochester (6) Cook, John R., Estimators for the errors Chlouverakis, Gregory, Imperfect repair in-variables problem in the ordered cat MATHEMATICS and maintenance ofstochastically failing egorical regression model. systems. Dong, Xiaoying, Families of functions Gumpertz, Marcia L., Simple estimators Chuang, Stella RweiJu, The bivariate nor whose Julia set is C and some related for the linear random coefficient regres mal distribution: Statistical properties of results. sion models and the nonlinear model the likelihood ration test for a mixture. Ravi, M. S., Regularity of non-reduced with variance components. Joh, Teng-Sheng, The performance of ideals. Martinez, Stephen W., The optimal dy factor analysis on linear recursive path namic hedging positions for grain pro STATISTICS models. ducers before harvests: A case study. Rispoli, Fred Joseph, On transportation Acuna, Edgar, Modality of mixtures of Udevitz, Mark S., Change-in-ratio meth and (0, I )-polytopes: Extreme points and distributions. ods for estimating the size of closed diameters. Choi, Sungsub, On asymptotically opti populations. Zhu, Jianping, On the history match mal tests .. Wolfinger, Russell D., Rates of con ing for three-dimensional multi-phase Kollia, Georgia, A study of some quantile vergence and asymptotic normality in reservoir models. function families: Isotones and other semi-nonparametric regression. MATHEMATICS applications. Zhang, Ji, Bootstrap methods for tests Chen, Haiwen, A rigidity theorem for Manatunga, Amita, Inference for multi about covariance matrices. cpm and 4-manifolds with 2-nonneg variate survival distribution generated Zhu, Jun, Genetic variance components ative curvature operators. by stable frailties. in the general mixed model. NOVEMBER 1990, VOLUME 37, NUMBER 9 1243 Annual AMS-MAA Survey University of North Carolina, Stromberg, Arnold, Robust efficient esti Miller, Edward Stephen, Isocompactness Chapel Hill ( 19) mation of nonlinear regression parame properties characterized by maximal ters. open ideals. BIOSTATISTICS Wu, Daxin, Some results for the two Barakat, Ali Said, A nonparametric mul NORTH DAKOTA dimensional Korteweg-de Vries equations. tivariate test for homogeneity based on Yaacob, Yusof Bin, Periodic solutions of all nearest neighbors. North Dakota State University ( 1) some functional differential equations mod Carr, Gregory John, Dose-response with state-dependent delays. els in quanta! response teratology. MATHEMATICS Cheng, Yue Mei, A modified score test Obert, David G., On the exact estimates Ohio State University (23) of exponential dichotomy roughness. for highly stratified survival data in MATHEMATICS randomized clinical trials. Andaloro, Paul, On simplicity of certain De Leon-Wong, Emelita, An empirical as OHIO infinite-dimensional Lie algebras. sessment of two compensation strategies Air Force Institute of Technology ( 1) of spherical for nonresponse in a panel survey. Bajnok, Bela, Construction t-designs. Flyer, Paul Alan, Finite population correc MATHEMATICS AND STATISTICS Banaszak, Gryzegorz, Algebraic K -theory tion for replication estimates ofvariance. of nonpara- Sultan, Ahmed, Applications of number fields and rings of integers Malott, Carolin M., Maximum likeli metric density estimation. and the Stickelberger ideal. hood methods for nonlinear regression models with compound-symmetric error Bowling Green State University (5) Bolinger, Karen, Pointwise closure models for slender nonNewtonian. covariance. MATHEMATICS AND STATISTICS McMahon, Robert Patrick, Analysis of Chen, Hua, The localization theorems of Arney, Alphonse K. A., Robustness study outcomes in clinical trials in s 3 -equivalent cohomologies. nonfatal of certain multivariate test criteria when is present. Chilakamarri, Kiran Babu, Unit-distance which mortality contaminated normal sampling from a graphs in Euclidean spaces. Murray, Sharon Cornell, Linear models model. with generalized AR ( 1) covariance Gajda, Wojciech, On epicyclic sets. Chao, Chi-Chin, Inference about covari structure for irregularly-timed data. Kwok, Wing Man, Character tables of ance matrices under repeated measure for extreme association schemes of affine type. Potter, Francis J., Methods ments model. weights in sample surveys. Lee, Doobum, Contributions to rational Fernando, Thotage S. A., Special topics Analytic expres homotopy theory of S 1 spaces. Williams, Paige Leigh, in univalent and multivalent functions. sions for maximum likelihood estima Ln+2/2-curvature pinch Maroli, John A., Tree permutation groups. Lovric, Miroslav, tors in a nonparametric model of tumor ing. Ofori-Nyarko, Samuel, Improved esti incidence and death. Oporowski, Bogdan Stanislaw, On Sey mation of the covariance matrix, the mour's self-minor conjecture for infinite MATHEMATICS precision matrix and the generalized graphs. Peterson, Gregory, Total cohomology variance. classes of the local bicomplex. Peric, Goran, The eta invariant on foli Case Western Reserve University (2) ated manifolds. OPERATIONS RESEARCH Schram, Erin, T-designs on vector spaces large OPERATIONS RESEARCH Curet, Norman David, Solving over finite fields. linearly constrained optimization. Hung, Rudy Ka Yiu, Hierarchical work Song, Yongjin, Hermitian algebraic K force scheduling. STATISTICS theory and dihedral homology. Rabinowitz, Gad, Quality control of mul- Benhenni, Karim, Sampling designs for Wu, Fang Bing, The index theorem for tistage production systems. estimating integrals of stochastic pro manifolds with cylindrical and elliptic cesses. Kent State University ( 1) value problems. Chu, Chih-Kang, Some results on non MATHEMATICAL SCIENCES STATISTICS parametric regression. theory for Crowell, John Irving, On sequential esti Marouf, Mousa Said, Summability ma Bunge, John, Distribution random record mation of the renewal function, optimal trices that preserve various types of record statistics from block replacement policies, and fixed sequential equivalence. models. Chang, Yueh-Jane, Optimal block designs width confidence bands. Ohio University (5) Murphy, Susan, Time-dependent coeffi with nested rows and columns. cients in a Cox-type regression model. MATHEMATICS Chen, Yuh-lng, Nonparametric proce of Nakamura, Miguel, Transformations to Coutant, Basil W., Cardinal function dures for structured effects in analysis symmetry in the transform-both-sides dualities between a space X and its variance. regression model. continuous real-valued functions. Hshieh, Paul B., Estimation of the sur Roginsky, Allen Leonid, On the central Gunawardena, Ananda D., Nonnegative vival function for type II censoring. limit theorems for the renewal and matrices and applications to linear sys Park, Dong-Kwon, Construction and effi cumulative processes. tems. ciencies of multi-dimensional designs. 1244 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Annual AMS-MAA Survey Peng, Nanfu, Birth and death processes MATHEMATICS PENNSYLVANIA with disastus. Davis, Bradford Dion, The effect ofequiv Carnegie-Mellon University ( 11) Soong, Wen-Chang, On multiple compar alent models on specification searches in isons for complex experimental designs. covariant structure modeling. MATHEMATICS Wei, Feifei, Optimal intergenotypic com Millsbaugh, Richard Paul, Dimension Haidar, Salim Mohammad, The Lavren petition designs and optimal weighing and mappings. tiev phenomenon in nonlinear elasticity. designs. OREGON Harche, Farid, Studies on set covering, prob University of Cincinnati (5) set partitioning and vehicle routing Oregon State University (9) lems. MATHEMATICAL SCIENCES MATHEMATICS Hou, Lisheng, Analysis and finite element approximation of some optimal control Fan, Guangwei, Existence and stabilities Robert Nels, Homotopy con Andersen, problems associated with the Navier of positive solutions of degenerate and struction techniques applied to the cell Stokes equations. periodic reaction-diffitsion systems. like dimension raising problem and to ., Existence, uniqueness Moena, Ricardo, Bifurcation of periodic higher-dimensional dunce hats. Meir, Amnon J and finite element approximations of points in a lattice of coupled logistic Bodvarsson, Gudrun Marianne, Solutions solutions of the equations of stationary, maps. to some linear evolutionary systems of incompressible MHD. Roth, Constance, An integral solution equations: A study of the double porosity existence and approach for the inverse heat conduction model of fluid in fractured rock and its Messaoudi, Salim, On local in nonlinear problem. applications. formation of singularities thermoelasticity. Shea, Edward Carl, Minimal simulta QUANTITATIVE ANALYSIS neous embeddings of central simple Samelson, Sandra L., Tchebychev nets AND INFORMATION SYSTEMS algebras. on two dimensional Riemannian mani Hsu, Chyi-Hung, A study of heteroscedas folds. tic anova models and a multivariate test STATISTICS Xu, Gan-Lin, A duality approach to for heteroscedasticity. Bedier, Mostafa, Post-stratified estima a Stochastic consumption/portfolio de a kown auxiliary variable. Pratsini, Eleni, The capacity constrained tion using cision problem in a continuous time lot sizing problem with process and set Bolouri, Maryam, Network models with market with short-selling prohibition. generalized upper bound side con up learning. STATISTICS straints. Ganio, Lisa Maria, Diagnostic tools Epstein, Leonardo David, Bayesian esti OKLAHOMA for overdispersion in generalized lin mation in multidimensional contingency ear models. tables. Oklahoma State University (4) Hall, Katherine B., Economically optimal Kim, Chul Eung, Stochastic modeling of MATHEMATICS control charts for two stage sampling. incarceration processes. Roger Mark, A method for estima Kim, Sung-Ho, Construction of and in Capehart, Steven Russell, Techniques for Sauter, linear models when terpretation from decision-support trees. accelerating interative methods for the tion of generalized variables contain measure Rossman, Allan Joseph, A Bayesian ap- solution of mathematical problems. explanatory ment error. proach to tournament design. STATISTICS Viroonsri, Boonchai, Estimation of to Drexel University ( 3) Faries, Douglas Evan, A new sequential tals for skewed populations in repeated MATHEMATICS AND approximation method. agricultural surveys. CoMPUTER SciENCE Fei, Wuchen, A new method for the University of Oregon ( 5) The acoustic profile re Robbins-Monro stochastic approxima Clavner, Hannah, MATHEMATICS one-dimensional tion procedure. construction of a Lossy Asiry, Mansour, On optimal mono medium. Mohd Nor, Abu Hassan Shaar, The effect splines with a maximal number of Douglas Scott, A new interior of initial classification on outlier testing McLeod, zeros. point algorithm for fractional linear in a linear model of constant intraclass Sarah Elizabeth, Some characteri programs. correlation. Holte, zations of Peano continua as images of Ringel, Emanuel, A stochastic analysis University of Oklahoma ( 4) dendrites. of state transitions in an air space Mooney, Lesley Jones, Massey products, management system. BIOSTATISTICS AND EPIDEMIOLOGY lower central series and Fox derivatives. Pennsylvania State University ( 13) Davis, Alan Berry, Subset selection of Randolph, Timothy W., Spectral theory in high rate counties. Banach algebras related by a continuous MATHEMATICS Torres, Carl G., Epidemiology of nosoco homomorphism. Chou, Wun-Seng, Permutation polynomi mial infections in ten Oklahoma hospi Vol pert, Klaus Ernest, On the cohomology als on finite fields and their combinato tals: A four year study. of transitive Lie algebras. rial applications. NOVEMBER 1990, VOLUME 37, NUMBER 9 1245 Annual AMS-MAA Survey Chun, Sean Ae, On the theory of blocks University of Pittsburgh (9) MATHEMATICS with modules. BIOSTATISTICS Hironaka, Eriko, Abelian coverings of Hansen, Carsten Bo, The Jacobson radi C P2 branched along configurations of Bush, James R., A nonparametric cal of certain group rings. rea/lines. method for evaluating a diagnostic test Harnchoowong, Ajchara, On the L-sylow using a minimax criterion. Johnson, Ockle E., III, Chain level Whit subgroups of the ideal class groups ney duality theorems for simplicial man Fu, John Lieo-hu, Nonparametric regres module F. ifolds. sion with right-censored lifetime data by Lee, Hee-Jung, Maximal orders in non least squares method Park, Hwasin, Idempotent relations and associative quantention algebras. Buckley-James improvements and statistical inference. the conjecture of Birch and Swinnerton Weiss, Tomasz, Martin's Axiom for a Dyer. of robustness centered partial orders and some prop Zhou, Yujing, Investigation relationship in occupa erties of special subsets of the set of real of dose-response University of Rhode Island ( 1) tional health studies. numbers. MATHEMATICS MATHEMATICS AND STATISTICS Yan, Pei-Yuan, Lower bound techniques Kuruklis, Spiridon, Oscillatory and in parallel computation. Chen, Chih-Sheng, On the age and block asymptotic behavior of certain differ STATISTICS replacement policies with or without ence equations. discounting. Furman, William, A moment matrix SOUTH CAROLINA approach to the inferential problems of Fioravanti, Mario A., Yang-Mills fields and hypersurface twistors. normal mixtures. Clemson University ( 4) Grego, John, Some extensions of the Gale, Sherry Louise, Measure-compact random effects Rasch model. spaces. MATHEMATICAL SCIENCES Johnson, Keith L., Higher order antede Gao, Ji, The geometry and the normal Barrett, Bruce Edward, Variable selection pendence models. structure in Banach spaces. and influence diagnostics in multivariate Kissinger, Terry, Using distribution Wu, Yuehua, Asymptotic theory of min regression. function metrics to measure the rate imum L 1-norm estimates and M Bowers, Melissa Cauthen, A hierarchical of convergence of the transient distribu estimates in linear models. model for production planning. tion to the steady-state distribution in Zhang, Hong, Symmetries in graphs. Narayanan, Chandrasekharan, Fase Par an M/M queue. allel algorithms and enumeration tech Kundu, Debasis, Some results in esti RHODE ISLAND niques for partial K -trees. mating the parameters of exponential Brown University ( II) Ramsier, Steven Wayne, Graphical repre- signals in noise. sentations of multivariate data. Naranjo, Joshua, Bounded-influence re- APPLIED MATHEMATICS University of South Carolina (5) gression: A modified Wilcoxon. Cai, Wei, Non-oscillatory spectral meth MATHEMATICS Temple University ( 3) ods for shock computation. Desai, Mihir, Computation in optimal Hu, Yingkang, Geometric modelling of STATISTICS control of steady state Navier-Stokes densely distributed data. Chan, Wai-sum, Some robust methods for equations. Wu, Ming-Shen, Spanning trees and other time series modeling. Jiang, Xinming, Augmented Lagrangian problems. Lee, Jong-Hyup, Outlier analysis in time method for impedance computed tomog Yeh, Roger K. C., Labeling graphs with series. raphy. a condition at distance two. Vakil, Ahmad Farough, Non-adaptive Leader, Jeffery James, The generalized STATISTICS . group-testing procedure for the hyper- theodorus iteration. geometric problem. Manbeck, Kevin Monroe, Bayesian sta Hsi, Hsiu-Li, Techniques and results for the analysis of mixture problems. University of Pennsylvania (5) tistical methods applied to emission tomography with physical phantom and Yang, Miinshen, On limit theorems of the MATHEMATICS patient data. fuzzy C-means clustering procedure. Cao, Jianguo, Applications of singular Martins, Luiz Felipe S., Limit theorems differential equations to Riemannian for networks of queues in heavy traffic: TENNESSEE geometry. Routing control and average cost per Memphis State University (2) Coli, Vincent E., Jr., Universal deforma unit time. tion formulae. Mikami, Toshio, Small random perturba MATHEMATICAL SCIENCES Jin, Zhiren, Three problems concerning tions of dynamical systems and Markov Chu, Yu-Chao, Generating asymptotically the elliptic equations and systems. processes from marginal distributions. independent uniform random vectors. Talvacchia, Janet C., Prescribing the cur Shin, Hyundoo, Chaotic sedimentation of Gibi, Debra Jane, Sufficient neighborhood vature of a principal bundle connection. nonspherical particles in a cellular flow conditions for a class of D-chromatic Zito, Jennifer Snyder, { o:, c }-critical graphs. field. subgraphs. 1246 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Annual AMS-MAA Survey University of Tennessee (3) MATHEMATICS University of Houston (2) MATHEMATICS Bogacki, Przemyslaw, Efficient Runge MATHEMATICS Kutta pairs and their interpolants. William, Periodic points Anderson, Terry G., A theory of relative Cook, Michael Marcin, Parallelization of and other boundedness and relative compactness Paprzycki, for mapping of the circle value problems software. for ordinary differential operators. boundary locally connected continua. Insall, Eugene Madison, Jr., Nonstandard Emert, John Wesley, ''Twisted" lens STATISTICAL SCIENCE methods and finiteness conditions in spaces. Carrillo-Gamboa, Olivia, Measurement algebra. McKinney, William R., Optimal error error model collinearities. estimates for high order Runge-Kutta University of North Texas (3) Texas A & M University (7) methods applied to evolutionary equa MATHEMATICS tions. MATHEMATICS Hipp, James William, Jr., The maxi Vanderbilt University (4) Arias, Alvaro, Topics in Banach space mum size of combinatorial geometries theory. excluding wheels and whirls as minors. MATHEMATICS isomor Kim, Young Sook, Finite element meth Park, Hong Goo, Polynomial Hall, Gary C., An age-size cell model ods for boundary value problems of phisms of Cayley objects over a finite with asymptotic exponential periodicity mixed type. field. in the asymmetric case. Spear, Donald W., Hausdorff packing Lai, Ming-Jun, On construction of bi capacity dimensions. Lukacs, Erzsebet, Related structures of variate and trivariate vertex splines on groups. arbitrary mixed grid partitions. University of Texas, Arlington (4) Wiener, Howard William, On an exterior Watret, John Robert, On dynamic tran MATHEMATICS Laplace equation problem with Robin sient anti-plane shear crack propagation Kelly, Theresa Diane, Partical modelling boundary condition. in a general viscoelastic layer. Yu, Xingxing, Contractible edge covers in of an elastic arch in three dimensions. 3-connected graphs. STATISTICS Mahmoudi, Mohse, Partical modelling of Ensor, Joe Edward, A two-compartment, fluid phenomena in three dimensions. TEXAS irreversible flow model with clustering. Sivapragasam, Sathananthan, Some prob Kim, Jong-Duk, Construction ofrestricted lems in impulsive integra-differential Rice University ( 6) D-optimal designs for simple polynomial equations. regression models. Zouyousetain, Mohammad, Difference MATHEMATICAL SCIENCES equations of Volterra type. Muehsam, Mitchell J., Comparison of Dobson, David Clark, Stability and reg correspondence analysis to classical sta University of Texas, Austin ( 14) ularity of an inverse elliptic boundary tistical methodology. value problem. MATHEMATICS Williamson, Karen Anne, A robust trust Texas Tech University (7) Blankenbaker, John R., Fourier analysis on the Sierpinski gasket. region algorithm for nonlinear program MATHEMATICS ming. Brahm, Matthew, The Repovs conjecture. Ayoubi, Isam S., An inverse scattering Burger, Edward B., Diophantine approxi MATHEMATICS problem for hyperbolic systems of first mation in S-integers. Chang, Sheun-Cheng, Critical Rieman order in semi-infinite media. Chang, Yang Chun, Chance constrained nian metrics. Chen, Dafeng, Some nonparametric meth programming and Chebychev systems Jones, Kerry Nelson, Cone mamfolds in ods in estimating the hazard rate func with applications. 3-dimensional topology: Applications to tion. Hong, Chan Yong, On some questions branched covers. Esparza, Sergio 0., Discrete multistate concerning weak identities, invariants, Lu, Ning, Surface mapping classes and coherent systems and the three modules and integrality. Heegaard decomposition of3-manifolds. theorem. Joubert, Wayne David, Generalized con Mou, Libin H., Some existence and McConn, Kelly, Accelerated life testing jugate gradient and Lanczos methods for uniqueness results of harmonic maps. with several type II censored samples. the solution of nonsymmetric systems of Obeyesekere, MandriN., A porous media linear equations. Southern Methodist University (5) problem arising in the study of water Kang, Joonsook Lee, The condition num transport in soil and roots. COMPUTER SCIENCE AND ENGINEERING ber and the singularity of a certain Wang, Hsing Yong, On zeros of partial interpolation matrix. Allen, David, The design and implemen sums of a mapping of the unit disk onto Miyazaki, Katura, Non-simple ribbon tation of the improved link II simulation a sector. fibered knots. model. Xie, Shishen (Sam), Observability of Oppe, Thomas Charles, The iterative Wang, Zhiming, Shortest augmenting Laplace's equation on the cylindrical solution of large sparse linear systems path algorithms for network problems. domain. using vector computers. NOVEMBER 1990, VOLUME 37, NUMBER 9 1247 Annual AMS-MAA Survey Rong, Yongwu, Degree one maps between MATHEMATICS Whitney, Coralyn, Misclassification of geometric three-manifolds. Thompson, Gary Lynn, Subgroup rigidity covariates in logistic regression: An Schumacher, Carol Smith, Sequential in group rings. application for latent class analysis. domination in Banach spaces and the MATHEMATICS Virginia Polytechnic Institute geometry of J H*. Bryan, Kurt Matthew, On an inverse and State University (9) Shi, Sheng Guang, Accurate and efficient problem for certain discontinuous con double-bootstrap methods. MATHEMATICS ductivities. Struppeck, Thomas, Inequalities for Carpenter, Lonnie Eugene, Cascade anal Nelson, Gary S., Congruences between heights of algebraic subspaces with ap ysis and synthesis of transfer functions periods of modular forms. plications to construction of auxiliary of if!fmite-dimensionallinear systems. Nielsen, Mark J., Tilings of topological polynomials. Hill, David Dean, Finite dimensional vector spaces. Sundheim, Paul, The Reidemeister and approximations ofdistributed parameter Richter, William G., Attaching maps for Markov theorems via diagrams for links control systems. the disk bundles of some Morse-Batt in 3-manifolds. Hymo, John Alexander, Problems involv decompositions. University of Texas, Dallas (2) ing relative integral bases for quartic STATISTICS fields. MATHEMATICAL SCIENCES Geyer, Charles James, III, Likelihood and Kang, Sungkwon, A control problem for exponential families. lgwe, Jerome Okwuchukwu, Some matrix Burgers· equation. identities and orderings applicable to Michalak, John Charles, Visualization of Liu, Zhuangyi, Approximation and con combining multivariate estimates. tree-based models. trol of a thermoviscoelastic system. Richardson, Paul Alton, Construction WISCONSIN Rakowski, Marek, Zero-pole interpolation of central,spin-orbit, and L-dependent of nonregular rational matrix functions. potentials. University of Wisconsin, STATISTICS Madison (30) UTAH Huang, Won-Chin, Applications of the INDUSTRIAL ENGINEERING Lai, Wenje, A statistics-based informa University of Utah ( 4) Chinese Remainder Theorem to the construction and analysis of confound tion and expert system approach for MATHEMATICS ing systems and randomized fractional activated sludge wastewater treatment DeYoung, Gary Wayne, The mathemati replicates for mixed factorial experi process control. cal basis for phase response curves. ments. Leung, Ying Tat, Single-run optimization Hernandez, Luis, Maximal representa Mercante, Donald, Analysis of multi of discrete-event simulations. tions of surface groups in the group species microcosm experiments. MATHEMATICS of isometries of a bounded symmetric Ramsey, Philip J., Estimation of group Felmer, Patricio Luis, Applications of domain. delay in the presence of short data variational methods to Hamiltonian sys Jimenez-Reyes, Jesus, The contraction records. tems. problem for rational curves on complex Fischer, Ismor, Discrete orthogonal poly varieties. WASHINGTON nomials. Li, Ya, The asymptotic behavior of solu Huan, Zhongdan, Generalized porous University of Washington ( 13) tions of nonlinear parabolic differential medium equations with force term. equations. BIOSTATISTICS Kang, Hyeonbae, Tangential Cauchy Utah State University ( 1) Cologne, John B., Nonparametric re Riemann equations on certain un gression analysis of Ames mutagenicity bounded weakly pseudoconvex domains. MATHEMATICS AND STATISTICS assay. Katzenberger, Gary Shon, Solutions of Loveland, Susan Marie, Spectral analysis Drake, Christiana, Inferring treatment a stochastic differential equation forced of the Legendre equations. effect from observational studies: Ad onto a manifold by a large drift. justment by prognostic variables vs. the Kavanagh, James P., Splittings of M VIRGINIA propensity score. matrices. University of Virginia (3) LeBlanc, Michael Leo, Recursive parti Me Dougal, Kevin F., Some combinato tioning for censored survival data. rial properties of (0, I )-matrices. APPLIED MATHEMATICS Murtaugh, Paul, Simultaneous analysis Shader, Bryan L., Biclique decomposi Cleary, Andrew James, Algorithms for of efficacy and toxicity in dose-ranging tions and tournaments. solving narrowly banded linear systems trials with new drugs. Welsh, Charles C., Some results in crossed on parallel computers using direct meth Sasieni, Peter, Beyond the Cox model: products and Lie algebra smash prod ods. Extensions of the model and alternative ucts. Harrar, David Lawrence, II, Conjugate estimators. Zhang, Bingyu, Some results for non gradient methods for redjblack systems Sharples, Katrina, Regression analysis of linear dispersive wave equations with on vector computers. correlated binary data. applications to control. 1248 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Annual AMS-MAA Survey STATISTICS WYOMING Cowan, David Francis, Wreath products and varieties of inverse semigroups. Carriere, Jacques, Customer-focused deci University of Wyoming (2) sion making. MacGillivray, Gary, The complexity of generalized colourings. Chen, Shun-Yi, Tolerance limits for com STATISTICS Oral, Haluk, Self-dual codes and graphs. plex population. Evans, Marc A., Topics in the estima Chen, Zehua, Interaction spline models. tion of population size from capture Zhu, Ruopeng, Distance regular graphs and eigenvalues multiplicities. Chough, Keumhee Danielle, Statistical recapture data using log-linear models. issues in the repeated measures data in Morsi, Morsi Ali Fawzi, Multivariate Universite de Montreal (9) the presence of treatment effects. sampling models. MATHEMATIQUES ET STATISTIQUE Gilardoni, Gustavo, Combining prior opinions. CANADA Boutin, Pierre, La super-associativite des Gu, Chong, Computing smoothing spline polynomes dans les bi-demi-groupes Dalhousie University ( 1 ) models. polynomialement distributifs. Hau, Man Cheung, Constrained experi MATHEMATICS, STATISTICS Frih, El Mostapha, Approximation holo mental designs. AND COMPUTING SCIENCE morphe sur certains non-barnes en plusieurs variables complexes. Ho, Shu-Yen, Sparse matrix methods for Clack, Rolf, Some Minkowski geometry the unbalanced multifactor ANCOVA. and the isoperimetric problem. Ghemires, Touria, Optimisation de forme et application a des problemes ther Hsu, Shih-Jian John, Bayesian inference McGill University ( 6) miques. and marginalization. Goupil, Alain, Produits de classes de Huang, Min-Ching, Piecewise linear tree MATHEMATICS AND STATISTICS conjugaison du groupe symetrique. structured regression. Blanchet-Sadri, Francine, Some logical Ladouceur, Stephane, Trois problemes Kim, Choongrak, A study on influential characterizations of the dot-depth heirar d'approximation qualitative. sets in regression. chy and applications. Leblond, Yves, Contributions ala theorie Kim, Honggie, Contributions to corre Guo, Kanghui, On the spectral synthesis d'estimation des sous-populations. spondence analysis and contingency ta property and its application to partial bles. differential equations. Maurer, Serge, Sur les graphes munis d'une connexite reguliere. Kramer, Timothy Talbot, Process control Joseph, Lawrence, The multi-path change de determina from an economic point of view. point. Perron, Daniel, Hypotheses tion et hierarchies. Lee, Jooho, On asymptotics for the Nahum, Carole, Second order sensitivity theoreme de Ia NPMLE of the probability of discov analysis in mathematical programming. Zawadowski, Marek, Un pour les pretopos. ering a new species and an adaptive rule Sawyer, Patrice, The heat equation on the descente for sequential searches. symmetric space associated to SL(n, R). Universite de Sherbrooke ( 1) Ramirez, Jose Gregorio, Sequential meth Zielinski, Jan Miroslaw, Clustering pro MATHEMATICS/INFORMATION ods in statistical process monitoring. cedures for sample paths from Poisson Robinson, James M., Modeling inference processes. Ferland, Rene, Equations de Boltzmann sea/aires: Convergence vers I 'equilibre, and forecasting techiques for the analysis Queen's University ( 1) of non-life insurance claim reserves. fluctuations et propagation du chaos Wang, Jung-Chao, Orthogonal arrays MATHEMATICS AND STATISTICS trajectorielle. and nearly orthogonal arrays with Mansourati, Zouheir Georges, Non- University of Alberta (2) mixed levels: Construction and applica classical d~ffusion equations related to a tions. class of birth-death processes with two MATHEMATICS Wei, Greg Cheng-Gang, Posterial com boundaries. Ganta, Lakshma Reddy, Some oscillation putations with applications for censored results for differential systems. Ottawa-Carleton Institute (2) regression data. Sivakumar, Natarajan, Studies in box MATHEMATICS AND STATISTICS splines. University of Wisconsin, Milwaukee (3) Grover, Parnesh, Orderings on division University of British Columbia ( 1) rings and normal subgroup structure of MATHEMATICAL SCIENCES a unitary group. STATISTICS King, Brian S., Some properties of Carte Jodayree, Aliasghar, Higher-order eigen Leroux, Brian Gilbert, Maximum like sian squares of linearly-ordered continu value asymptotics for Sturm-Liouville lihood estimation for mixture distribu ous sets. problems with one simple turning-point. tions and hidden Markov models. Pattanaik, Lalit M., Large sample prop Simon Fraser University (5) University of Saskatchewan (2) erties of density estimators based on randomly right sensored data. MATHEMATICS AND STATISTICS MATHEMATICS Sivanesen, Sivalingam, Iterates of maps Ahmad, Seema, Some results on the Eum, Kyung Lyun, Convolution operator on the interval. structure ofthe E 2 enumeration degrees. norms. NOVEMBER 1990, VOLUME 37, NUMBER 9 1249 Annual AMS-MAA Survey Tuncali, Hiiseyin Murat, Some gener Seyffarth, Karen, Cycle and path covers MICHIGAN alizations of the Hahn-Mazurkiewicz of graphs. theorem. Shepherd, Bruce, Near-pe1jection and sta Michigan State University ( 1) ble set polyhedra. University of Toronto ( 1O) MATHEMATICS Visentin, Terry 1., A character theoretic Lu, Ke-ning, Invariant manifolds for flows MATHEMATICS approach to the study of properties of in Banach spaces. in orientable surfaces. Bradley, Robert Emmett, Induced opera maps tors and alternating sequences. PURE MATHEMATICS Jarosz, Jerzy, J -unitary dilation of a Casperson, David C., Free products of continuous semigroup of operators. commuting Lie algebras and strictly NEW MEXICO Kalajdzievski, Saso, Centralizers offinite imaginary roots. subgroups of the automorphism groups Dicks, Dwayne Harold, Approximately University of New Mexico ( 1) of a free group. multiplicati1·e functions. MATHEMATICS AND STATISTICS Kirkland, Stephen James, Spectral re STATISTICS AND ACTUARIAL SCIENCE Taijeron, Henry John, Aplinwa on hyper gions for Leslie matrices. Darlington, Gerarda A., /:"_>.:tensions of spheres. MacDonald, Gordon Wilson, Invariant logistic regression with applications to subspaces for weighted translation oper genetic epidemiology and longitudinal ators. data analysis. Shank, Robert James, Polynomial alge Lesperance, Mary Louise, Mixture model NEW YORK bras over the Steenrod algebra. sum as models involving many incidental mands of H*(B(ZjsZ)5 ) and Lannes' parameters. Rensselaer Polytechnic Institute ( 4) division functors. O'Hara-Hines, R. J., Some methods for OPERATIONS RESEARCH AND STATISTICS Yildirim, Cern Yalcin, Zeta function the analysis of toxicological mortality theory: Pair correlation and value distri data grouped over time. Bhaskaran, Krishnakumar, Modeling and bution. Sitter, Randy R., Resampling procedures analytical foundations of the stochastic multiple objective optimization problem Zou, Jian, Division in spaces of holomor for complex survey data. for integrated warehouse operations. phic and C'""-functions. Ontario ( 3) University of Western Jain, Sanjay, Decision framework for STATISTICS APPLIED MATHEMATICS interruption handling in flexible manu Ferguson, Heather Gail, Asymptotic prop Meredith, David, Boundary approxima facturing systems. erties of a conditional maximum likeli tion methods for some free and moving Lath, Sukriti, The multidimensional facil hood estimator. boundary problems. ity layout problem: A hierarchical model Lee, Hyun Suk, A conditional approxima Pettigrew, Michel, On compact finite and solution method. tion to the observed levels of significance d!fference schemes with applications to Vasquez, Alberto, Concurrent resource for a real parameter. moving boundary problems. scheduling for flexible manufacturing Sowmya Narayanan, Kumbakonam S., A systems. University of Waterloo ( 15) jet calculus approach including coher APPLIED MATHEMATICS ence effects and the associated problem of moment inversion. Hewitt, Conrad Glyn, Asymptotic states OHIO of G2 cosmologies. Vinette, Francine, Symbolic computation Doctoral Degrees Conferred Ohio State University ( 1) in quantum mechanics: Determination 1988-1989 of lower bounds using the inner projec Supplementary List MATHEMATICS tion technique and some related prob Wierdl, Mate, Almost everywhere conver lems. and recurrence along subsequences The following list supplements the list of the gence in ergodic theory. COMBINA TORICS AND 0PTIMIZA TION sis titles published in the November 1989 Notices, pages 1169-1188, and the May jJune Furino, Steven Charles, a-resolvable struc 1990 Notices, page 558. tures. Gamble, Albert Bruce, Polyhedral exten CANADA sions of matching theory. LOUISIANA Hadley, Scott, Continuous optimization McGill University ( 1) approaches for the quadratic assignment Louisiana State University, problem. Baton Rouge ( 1 ) MATHEMATICS AND STATISTICS Holman, Glen Stuart, A curvilinear al MATHEMATICS Gago-Couso, Felipe, Internal weak opens, gorithm for unconstrained optimization Carpenter, J enna, Finiteness theorems for internal stability and Morse theory for using directions of negative curvature. forms over number fields. synthetic germs. 1250 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY The David II National Plan effort is Actions for Renewing U.S. Mathematical Sciences Departments, a document developed at a BMS workshop, By the end of the year, the Board on Mathematical Sciences held in June 1990, involving over two dozen chairs of will send to all 2000 mathematical sciences departments in the U.S. materials designed to aid them in using the David mathematical sciences departments. Actions provides II Report to improve their resource bases and forge partner suggestions to departments for ways to use the David II ships aimed at departmental improvement within their own report to argue for improved support for mathematical institutions. This article describes this and related efforts for sciences within their own institutions. Intended as a sort dissemination of the Report. of template for departmental improvement and renewal, the suggestions are flexible enough to be useful in a wide Last Spring, the Board on Mathematical Sciences (BMS) variety of institutions and departmental situations. of the National Research Council issued the report, "Re In approximately 25 well-referenced pages, Actions newing U.S. Mathematics: A Plan for the 1990s," known outlines steps in the renewal process and points to as the David II Report. The report found that, despite examples of successful programs in various institutions. gains in recent years, the resource base for mathemat Among the points covered in the document are: ical sciences research has seriously eroded. The report • Departmental self-assessment. Specific questions are also made recommendations to federal agencies, colleges provided which can be used as a starting point for depart and universities, and to the mathematical sciences com mental discussions that can help pinpoint a department's munity itself for renewal of the mathematical sciences strengths and weaknesses and explore its responsibilities enterprise. (Most of the report was reprinted in the past and priorities. two issues of Notices.) • Suggestions for departmental improvements. Cover In order to insure that the report will have as ing K-12, undergraduate, graduate, and postgraduate widespread an effect as possible, the BMS is developing education, as well as disciplinary and interdisciplinary a multi-faceted plan for dissemination. The first step research, the document makes specific suggestions (with is distribution: the Board has printed 8000 copies of references to existing "success stories") that can help a the report and 18,000 copies of the report's executive department build on its strengths to better meet its in summary. Copies have been sent to all mathematical stitutional responsibilities. Departments are then better sciences departments, to university presidents, to officials positioned to request the necessary resources. in federal agencies and in Congress, to the science • Reward system. When a department re-evaluates its and education press, to leaders in industry and in mission, its reward system may need to change to reflect state education and economic development departments. new faculty activities. Based on recommendations in the BMS has also conducted high-level briefings with federal David II Report, suggestions are made for criteria (in agencies, (including DoD and NASA, as well as the Office addition to research) for evaluating those activities. of Science and Technology Policy and the National A preliminary version of Actions was distributed to Security Agency) and will arrange for presentations attendees of the BMS Chairs' Colloquium, which was before such academic groups as the American Association held in mid-October. Department chairs who did not of State Colleges and Universities, the Association of attend the Colloquium should watch for Actions, which American Universities, and the Association of American is to be mailed out along with other materials by the Colleges. end of the year. Faculty members should be sure their An important aspect of the dissemination plan focuses chairs are aware of this effort and should keep abreast of on outreach to the mathematical sciences community to developments within their departments. give individuals the tools necessary to participate in Allyn Jackson the renewal of their profession. The centerpiece of the Staff Writer NOVEMBER 1990, VOLUME 37, NUMBER 9 1251 Forum the report which was the basis of one of the NRC reports, "Reshaping School Mathematics". While the The Forum section publishes short articles on issues that are report which finally emerged from the NRC maw was of interest to the mathematical community. Articles should be between I 000 and 2500 words long. Readers arc a pale shadow of the report this committee wrote, invited to submit articles for possible inclusion in Forum to: the perspective on using calculators and computers in Notices Forum Editor school mathematics which Effros deplores was retained American Mathematical Society faithfully from the committee report.) P.O. Box 6248 Where does Effros go wrong? In the belief that those Providence, RI 02940 like myself who advocate much more calculator use or electronically to [email protected] in elementary school and much less pencil-and-paper arithmetic have caused the problems he sees or may exacerbate them. But: Calculators, Computers • It cannot be that the college students Effros sees today have poor calculational skills because any math and Mathematics Education: ematics class they attended caused them to become A Response to Edward Effros "hooked on their calculators"; almost no college fresh Anthony Ralston man today saw calculators at all in their arithmetic SUNY, Buffalo classes in elementary school; indeed, there is almost no Ed Effros's piece in the Forum ("Some Thoughts on use of calculators even today in American elementary 'Everybody Counts' ", Notices, May I June 1990) requires schools. a response. Not because he is all wrong. But rather • More time is devoted to pencil-and-paper arithmetic because so much of what he says is right that it may be in American elementary school classrooms than in those too easy to believe that everything he says is right. of any other developed country. In no other country Let's start with where Effros is on target. Yes, the by the end of eighth grade have most students seen students he sees at UCLA and I see at Buffalo and most virtually no mathematics except arithmetic. Basic pencil readers of the Forum see wherever they are have less and-paper arithmetic skill is almost the only area where understanding of mathematics than ever before. And it's American students do not do much more poorly than getting worse. Yes also, some, perhaps many, certainly their counterparts in other countries. too many, of them cannot do simple calculations and • Numerous studies have suggested (no, not "shown") have little facility with any symbol manipulations. And, that, where calculators are used in the classroom, the yes, much of this is due to the inability of students to result is not a diminution of pencil-and-paper skills. concentrate on anything, to the widespread passivity they So there is no way that Effros's students or any of exhibit, the major culprit in which must be TV. Yes, yours have become "calculator idiots" through use of "low teacher salaries, low prestige, lack of support by calculators in American classrooms. But could it perhaps society" etc. are much more important in our educational be that these students have used calculators so consis malaise than anything discussed in the National Research tently outside of the classroom that their elementary Council (NRC). and National Council of Teachers of school calculational skills have atrophied to such an Mathematics (NCTM) reports Effros castigates. (Failure extent that they are, indeed, "calculator idiots" by the of these reports to address these matters is fair criticism time they arrive in college? Maybe. But, if so, there is even though, given the constraints under which NRC nothing, absolutely nothing you can do about it through committees work, it would have been very difficult for more of the same old pencil-and-paper drill and practice them to do so. I chaired the committee that drafted that Effros advocates. Whatever we do in the classroom 1252 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Forum and however we exhort the students, kids will use this mathematics as well as the ability to do certain calcu technology whenever it is convenient. lations mentally (e.g. simple arithmetic including some What besides too much calculator use outside the two-digit arithmetic, factoring simple quadratics). Effros classroom may have caused a loss of traditional calcu is correct that without the ability to do such calcula lational skill by the time students reach college? One tions instantly, there is no way students will be able to possibility is that the continual emphasis on pencil-and do the estimations which the NRC and NCTM reports paper arithmetic skills through the first nine years of emphasize. school (K-8) finally just turns too many kids off to math Calculator and computer drill and practice will be ematics in any form. Why now and not earlier when the very different from pencil-and-paper drill and practice. It readers of the Forum went to school? Because whereas will have to focus on the inductive paradigm: compute, when I went to school we could see parents and clerks conjecture and (at advanced levels) prove. It will involve etc. making use of these skills, any kid today must see students in doing many calculations with the purpose that what he or she is being taught in school has no of developing insight about numerical and symbolic pat relevance whatever to the way things are done outside of terns. Can such calculator drill and practice be effective? school. I don't know and I don't think anyone else does either. Here is the crux of the matter. Pencil-and-paper But there is no a priori reason why it cannot be. You arithmetic skills have lost almost all their pragmatic can be sure that, if the elementary school mathematics value and will soon lose what little is left. Yet, as Effros curriculum did not exist and we had to invent it, it believes and as virtually all mathematicians believe would involve calculators from the very beginning of (certainly me included), "drill and practice remain the mathematics education. You can also be sure that, even most important tools at our disposal for learning the first if we overcome all the societal barriers to better educa principles of mathematics". How can we retain the value tion, mathematics education will continue to fail so long of drill and practice without teaching skills which seem as calculators and computers do not become part of its irrelevant to students? How can we prepare students to warp and woof at all levels. study further mathematics without turning far too high But, alas, those societal barriers are not about to a percentage off to mathematics at the very beginning of be overcome in any foreseeable future. Thus, the dis their mathematical experience? agreement between those who believe as Effros does and The essential answer is: Drill and practice need those who believe as I do may not matter much. But, not mean pencil-and-paper drill and practice. A major at least, anyone interested in and involved with math challenge for mathematics educators is to devise ap ematics education should support research about and propriate drill and practice on calculators (arithmetic, experimentation with the use of the new technology at graphic and symbolic) and on computers which will result all levels of mathematics instruction. in developing both the understanding to pursue further This is the second edition of The Joy of TfX, the user-friendly 1980 Mathematics Subject Classifications: 00, 68 guide to AM5-TEX, which is a software package based on the ISBN 0.8218-2997-1, LC 90.1082 revolutionary computer typesetting language TEX. AMS-TEX 320 pages (softcover), September 1990 was designed to simplify the typesetting of mathematical Individual member $30, List price $38, quantities, equations, and displays, and to format the output Institutional member $34 according to any of various preset style specifications. This To order, please specify JOYT/NA second edition of Joy has been updated to reflect the changes tiP.~ 4~ p ••.• 'S> introduced in Version 2.0 of the AM5-TEX macro package. ... yr. '!"0' ~ , ;,; The first two parts of the manual, ··starters·· and "Main Courses," teach the reader how to typeset the kind of text and '~ mathematics one ordinarily encounters. "Sauces and Pickles," the third section, treats more exotic problems and includes A a 60-page dictionary on special techniques. The manual Gourmet Guide also includes descriptions of conventions of mathematical typography to help the novice technical typist. Appendices to Typesetting list handy summaries of frequently used and more esoteric All prices subject to change. Free shipment by symbols. surface; for air delivery, please add $6.50 per title. withtheAMS- TEX This manual will prove useful for technical typists as well as Prepayment required. Ofder from American macro package scientists who prepare their own manuscripts. For the novice, Mathematical Society, P.O. Box 1571, Annex exercises sprinkled generously throughout each chapter Station, Providence, RI029P1-1571, or call toll free encourage the reader to sit down at a terminal and learn 800-321-4AMS (321-4267) in the continental U.S. M. D. SPIVAK, Ph.D. through experimentation. and Canada to charge with VISA or MasterCard. NOVEMBER 1990, VOLUME 37, NUMBER 9 1253 Computers and Mathematics Edited by Jon Barwise This month's column clearly had a great deal to offer in probability theory and This month's column contains two articles. The first, by Wilfrid stochastic calculus. This article describes some work I Kendall, has to do with computers and stochastic calculus. It is did in following this up. First we set the scene with a a very nice illustration of the way computers and mathematics rapid informal description of stochastic calculus. can go hand in hand. The second article is a response to my The starting point is the Brownian motion or Wiener editorial of last month. In that editorial I discussed problems process B. This continuous-path random process can be in our research universities in keeping research and teaching characterized in many ways, reflecting its central impor in some sort of equilibrium and the role computers can play in solving the problem. In his article, Keith Devlin, chair of tance. For our purposes a naive approach is best: think mathematics at Colby College, discusses the situation as he sees of B as an infinitesimal random walk. Specifically, tlB it in our liberal arts colleges. He discusses ways in which the is random, independent of the past, and approximately computer can make four year colleges more attractive than in equal to ±../iii with probability i each way. (In fact the past to mathematicians concerned about staying active in nonstandard analysis makes perfect sense of this point research. Both of these articles, in quite different ways, show the of view; see Anderson, 1976.) profound influence that computers can have on mathematicians The infinitesimal increment tlB being of the order and mathematics. ../iii, it is not surprising to learn that with probability Submissions to this column should be sent to: 1 the path of B has unbounded ordinary variation but Jon Barwise has bounded quadratic variation (we find 'E~(tlB) 2 -+ t Department of Mathematics when the limit is taken over, e.g., dyadic dissections of Indiana University [0, t]). The unbounded ordinary variation means ordinary Bloomington, IN 47405 email: [email protected] calculus cannot apply to B, so the integral J f dB has fax: 812-855-4678 in general no conventional meaning. But the bounded quadratic variation allows development of a stochastic calculus for B, in which sense can be made of J f dB when (for example) f is continuous and f(t) depends for each t only on the past values {B(s) : s ::; t}. From Computer Algebra this there follows the celebrated Ito formula: ifF is a C 2 and Stochastic Calculus function then Wilfrid S. Kendall* F(Bt) = F(Bo) +lot F'(B) dB+ i lot F"(Bs) ds. (1) I first obtained regular access to a computer algebra system (REDUCE**) about four years ago and was **REDUCE is a reasonably-priced computer algebra package, immediately fascinated by the direct way in which available on a wide variety of mainframes, workstations, and well mathematical problems could be formulated within the configured personal computers (for example, 80386-based machines). It is broadly comparable to Maple and Mathematica as a computer package. In particular the mechanisms for establishing algebra package, but lacks the numerical and graphical facilities of the rewrite rules (LET rules in REDUCE) and substitutions other two. However there is a considerable quantity of contributed sub-packages, freely available and greatly enlarging the capabilities of *Wilfrid Kendall is lecturer in the Department of Statistics, Uni REDUCE. Moreover REDUCE is distributed in source form, allowing versity of Warwick, Coventry CV 4 7 AL, UK. His email address is easy modification - at least by experts! Supplier and other information, [email protected]. His research interests are in probabil and information about the contributed software, is best available by ity, its interface with differential geometry and partial differential electronic mail: in the first instance send the one-line message "help" equations, its applications to spatial statistics, and the effective imple to the network address [email protected] or (if you are based in mentation of stochastic calculus in computer algebra packages. Europe) to [email protected]. 1254 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Computers and Mathematics Furthermore one can define random processes by requir not tensorially invariant. The geometrical notions of ing that they satisfy stochastic differential equations such Riemannian metric and connection play a major part as in resolving this problem. For example suppose the continuous-path random processes X 1, ••• , xn are given by an autonomous set of stochastic differential equations Yo+ lot a(Y)dB+ lot b(Y5 )ds. (2) 1 1 1 The solution Y exists and is unique when the coefficients = ... l:~=l a 1 (X) dB + b (X) dt } (5) a, b are Lipschitz and of linear growth. 1 A very rich theory of stochastic calculus has been l:~=l a~(X) dB + bn(X) dt built up from these elements over the last 40 years, finding all kinds of applications ranging from physics where B 1, ••• , Bn are independent Brownian motions. It through chemistry and engineering to economics. In is possible to give a succinct geometric description of X if practical work one tends to use the shorthand notation the matrix~= (a{) is invertible. The inverse of the matrix of stochastic differentials. For example (2) is written as n ( l: aj aJ) endows n-space with a Riemannian metric, i=l r,s 1 dY = a(Y) dB+ b(Y) dt (3) with respect to which X= (X , ••• , xn) moves according to a Riemannian Brownian motion with intrinsic drift vectorfield That is to say on an infinitesimal scale ~X and a general form of Ito's formula ( 1) then shows that :!!. can be thought of as follows: choose a point uniformly for C2 functions F the stochastic differential of F(Y) is distributed on a (Riemannian metric) sphere of radius $t centred at X, and set X + ~X to be this point plus dF(Y) = F'(Y) d Y + ~F"(Y)(dY) 2 (4) h(X)~t. (Of course the drift vectorfield :!! is computed using both!! and!!= (bi).) using Ito multiplication rules such as (dB)2 = dt, (dB)(dt) The second problem is the second-order nature of = 0, (dt)2 = 0 to resolve occurrences of (dY)l into ( 1}, (4) leads to involved computations. Indeed the gen more conventional differentials. (For future use note eralization of (4) applied to a function of n variables that the Ito multiplication rule for stochastic differen X 1, ••• , xn leads to a sum of I (n + 1) terms, as opposed tials of two independent Brownian motions A and B is to n terms in ordinary calculus. Clearly computer algebra (dA)(dB) = 0.) should have something to offer here. The theory extends beyond Brownian motion to The key to unlock the potential of computer algebra continuous semimartingales. Loosely speaking these are in stochastic calculus turns out to be the implementation random processes admitting 'noise plus signal' decompo in REDUCE of Ito's formula (4) and the language of sitions X = M + V such that on the infinitesimal level M stochastic differentials. For we may arrange for Ito's has future increment of zero mean (IE[~M I past] :::::: 0) multiplication rules to hold using LET rules; for example and V has future increment of approximately zero vari ance (1E[~V 2 I past] :::::: 0). The statistical behavior of X LET dt**2 0, may be specified by giving Ito multiplication rules for dt*dB = 0, dM2 (or in fact for dX2 ) and other second-order prod dB**2 = dt; (6) ucts of stochastic differentials and by giving a formula for d V. Thus second-order and first-order structure of deals with the case of a Brownian differential dB. To stochastic differentials determine the statistical structure. implement Ito's formula (4) we establish a REDUCE This leads to a powerful and effective formalism procedure d such that dy expands the expression y to a for specification and investigation of continuous-path second-order Taylor series in time using the language of random processes. From basic random processes such as differentials. This is done by formal differentiation of y Brownian motions one builds others either as solutions of with respect to time, setting the formal time derivative stochastic differential equations or as functions of these ofB equal to dB/dt. It is then arranged within d that after basic processes. Their behavior may then be investigated simplification the Ito multiplication LET rules are applied, using the theory of stochastic calculus. However there thus implementing the Ito formula. The point is that the are two practical problems, both arising from the second essence of stochastic calculus is easily programmed into order nature of ( 1) and its generalization (4 ). REDUCE by implementation of d and by specification The first problem is how to interpret the stochastic of second-order structure for the stochastic differentials. differentials d Y in an invariant sense? By ( 1) and ( 4) The first-order or drift structure is also required and it is clear that they are second-order quantities and is specified by a list of substitutions (such as dB --+ 0) NOVEMBER 1990, VOLUME 37, NUMBER 9 1255 Computers and Mathematics which are performed whenever it is required to find the the statistics of the yet more general case, the diffusion of drift of a stochastic differential. With this symbolic Ito shape of k points in n-space (W.S. Kendall, 1990). Here calculus in place (and it takes only a page of REDUCE technical difficulties have to be solved connected with programming code) the scene is set to specify and to a requirement to deal with sums over symbolic ranges. solve stochastic calculus problems in a language very (For completeness note that at about the same time as directly related to the mathematical notation used by the W.S. Kendall, 1990, other workers obtained similar or theory. related results on k points in n-spaces without using Of course this implementation is proved effective computer algebra; see Bru, 1989, and Carne, 1990.) only by it being useful in the solution of real problems. More recent developments in symbolic Ito calculus The principal application so far has been to the diffusion include a facility for automatic simulation. We have of shape. Consider three points A, B, C moving inde noted that once second- and first-order statistics are pendently in Euclidean n-space according to Brownian specified for a semimartingale then its statistical behav motion (each coordinate being an independent Brownian ior is determined (actually we also need its value at motion). What do we mean by the shape of a and what time zero). Consequently it is a routine matter to write are the statistics of its movement? At least if n 2: 3 procedures that use this information to construct simu then shape is completely parametrized by the normal lations of the semimartingale. Thus on-line simulations ized squared side lengths aA = B C2 /"'£ B C2 et cetera. are available via single-line commands in the course of Symbolic Ito calculus allows the rapid derivation of the computer-aided stochastic calculus. statistics of aA,as,ac. It turns out that a= (aA,as,ac) There is also under development a set of procedures satisfies a set of stochastic differential equations which for analysis of systems of Ito stochastic differential equa are autonomous once one makes a random time-change tions. This uses recent results relating solution behavior depending on the size measure AB2+BC2+CA2 (this cor to the structure of a Lie algebra determined by the responds to the rather obvious observation that the shape system. of a Brownian triangle-whatever that may mean-will In all this a synergy is achieved: programming the change faster when the vertices are closer together be structure of stochastic calculus into REDUCE exploits cause then the Brownian movements will have greater on the one hand 40 or more years' work on the the effect). Now recall the relationship between autonomous ory of stochastic calculus and on the other hand the stochastic differential equations and Riemannian ge computational dexterity provided by computer algebra! ometry discussed after equation (5). This relationship The ultimate objective is to provide a whole suite of involves somewhat complicated calculations, but these cooperating procedures that supply within a computer can be programmed into the REDUCE package once algebra package the means for computer-aided analysis and for all as general-purpose procedures. When ap and investigation of the processes of stochastic calculus. plied to the autonomous stochastic differential system for a (in fact to a system for a A, as using the relationship a A+ as+ ac = 1) they yield the conclusion, in its intrinsic Riemannian geometry the shape diffusion a is Rieman nian Brownian motion on a (northern) hemisphere of References R.M. Anderson ( 1976), "A non-standard representation for radius ! with an intrinsic drift directed to the north pole Brownian motion and Ito integration". Israel J. Math. 25, 15- of strength n2z tan 2 dist (a, north pole). (If n = 2 then 46. the shape diffusion turns out to be Riemannian Brownian M.F. Bru ( 1989), "Processus de Wishart". C. R. Acad. Sci. motion with zero intrinsic drift on the entire sphere of Paris Ser. I Math. A308, 29-52. radius !-) T.K. Carne ( 1990), "The Geometry of Shape Spaces". Proc. The fact that such a shape diffusion lives on a London Math. Soc. (3) 61, 407-432. hemisphere (or sphere, when n = 2) was known before D.G. Kendall ( 1977), "The diffusion of shape (abstract)". symbolic Ito calculus (D.G. Kendall; 1977, 1984), and the Adv. in Appl. Probab. 9, 428-430. D.G. Kendall ( 1984), "Shape manifolds, procrustean met diffusion statistics for the cases n = 2, 3 were worked out rics and complex projective spaces". Bull. London Math. Soc. by hand. The case of general n was first fully worked out 16, 81-121. using symbolic Ito calculus without recourse to automatic W.S. Kendall ( 1988), "Symbolic Computation and the Dif calculations of Riemannian geometry (W.S. Kendall, fusion of Shapes of Triads". Adv. in Appl. Probab. 20, 775-797. 1988) but now follows easily from application of the W.S. Kendall ( 1990), "The Diffusion of Euclidean Shape". geometry procedures mentioned above. Symbolic Ito In: Disorder in Physical Systems, ed. by G. Grimmett and calculus has been further used successfully to evaluate D. Welsh. Oxford University Press, Oxford, 203-217. 1256 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Computers and Mathematics A parallel (dual?) argument can be made from the other side of the American higher educational scene: the Computers and Research four-year college. at Four-Year Colleges Everyone knows that four-year colleges provide math ematical instruction to large numbers of students every Keith Devlin* year. But these days, thanks in large part to the computer, they are also playing an increasing role in the nation's research effort, and in this article I want to argue that this can only be to the good of their students. The Package Tour I should say at the outset that what you are getting In last month's editorial, Jon Barwise considered the here is very much one person's first-impression, with growing gap that separates the two faces of present day all the advantages and disadvantages that accompany universities: teaching and research. He compared the a fresh pair of eyes. Moreover, I am at one of the situation to the distinction between a guided tour of old better known, highly selective small colleges that are able buildings (teaching) and the archeological discovery of to attract an extremely good faculty. Until recently, I new ones (research). He argued that there can be con knew nothing about the U.S. small-college system. As an siderable tension between the guided-tour-face presented English mathematician who had worked in the British to students and parents and the archeological-dig-face university system for the greater part of my twenty projected towards industry and the research funding year career, I had spent considerable periods of time agencies. at a number of large research universities in the U.S.A. A quite different situation prevails (or at least can and Canada and various European countries but was prevail) at the four-year colleges, currently enjoying a largely unaware of the rest of the U.S. system. Unaware somewhat better press than the large research universi until the increasingly intolerable deterioration in my own ties. The size and structure of such institutions enables university system forced me to consider a permanent them to avoid a lot of the problems Barwise mentions move to the U.S.A. I spent the two years from 1987 and to provide what for many students (and many fac to 1989 at Stanford as visiting faculty, and while I ulty) is probably the optimal path: the package tour, was there a number of colleagues advised me to look including a well-planned tour of the old buildings, with seriously at Colby College, which was at that time in the some time to clamber over the archeological dig as well. process of trying to find a new chair of their mathematics I suspect it is no accident that a lot of the ground department. breaking work in integrating the computer into the I liked what I saw. Small classes of good students, mathematics curriculum is being done not at the large a clear commitment to quality education, adequate re universities but the small four-year undergraduate col sources, highly competitive salaries. Plus an attractive leges such as my own. (Just take a look at the affiliations "family" atmosphere that one does not find at a larger of past contributors to this column!) Such efforts are institution. very time consuming, but bring comparatively little in In terms of my research career, there were only two the way of funding, and they are unlikely to turn the in possible negatives that I could see. One was the teaching vestigator into an academic superstar. But they represent load. At five semester-courses a year, this was a bit the leading edge when it comes to finding new ways of higher than at a research university, but the quality and attracting the next generation of mathematicians. small size of the classes easily offset this worry. Of more concern to me was the question of research isolation. And this, I assume, would be the question that looms Research and the Four-Year College uppermost in the minds of most young mathematicians The overall conclusion Barwise argues for is not that starting out on their careers. Is it possible to maintain universities should turn their backs on research. Indeed, an active research program at a small college, especially he asks for an honest declaration that research is their one located away from the major centers? principal goal. Rather he wants them to increase their A few years ago, I am sure the answer would have commitment to education while that research effort is been "No." The high level of personal interaction most maintained. of us require in order to carry out mathematical research simply could not be maintained at a small college. *Dr. Keith Devlin is the Carter Professor of Mathematics and But things have changed and, as I mentioned above, Chair of the Mathematics Department at Colby College in Maine. the main factor that has brought about that change is the He spent two years ( 1987-1989) as Visiting Associate Professor of Mathematics and Philosophy at Stanford University where he was computer and, in particular, the availability of electronic involved in the research carried out at CSLI. He is currently writing a mail and easy access to large-scale computer facilities. book about CSLI. At Colby I am the only person working on mathematical NOVEMBER 1990, VOLUME 37, NUMBER 9 1257 Computers and Mathematics logic, but my research colleagues are always (in effect) facilities often sets department against department at a just behind the screen of the terminal sitting on ?IY large school where research is paramount.) desk. In fact, in some ways it is even better than havmg them just along the corridor. For one thing, there is no Teaching Versus Research need to respond to each other immediately. If one of us So from the faculty member's point of view, the old idea is busy with other things or needs time to think or ~s that you go to a large research university to do research maybe just plain tired, a response can be put off untd and a small college to teach is no longer valid, at least later. For another thing, there is always a permanent in mathematics. But what about the college's view of record of what has been said. (Of course, as Richard things? If its sole goal is teaching, why should a small, Nixon demonstrated all too well, the telephone and undergraduate college have any interest in re~earch? . provides instant ~o~mu tape-recorder combination also Oh dear, here comes that awful phrase agam: teachmg along with a permanent record. But 1t 1s an nications versus research. As if the two were somehow at odds almost impossible medium over which to communicate with each other. Of course, they are not, and therein science or mathematics.) can be found the reason why small colleges need (and Though my own work does not require the use of increasingly want) their faculty to be active in research. supercomputers, they can be accessed from my d~sk, Surely one of the things that a college education can and are equally available to anyone whose work reqUires provide that high schools in general cannot is to expose them. the student to the fact that mathematics is not just a All this makes physical location far less important cookbook of old recipes passed on from one generation than it once was. Proper consideration can also be given to another, but a living, breathing, growing, and exciting to family issues, such as living environment, housing subject. Indeed, a subject being actively pursued by costs, schooling, and the like. Suddenly, the small college that very professor who is standing in front of the c~ass in a pleasant, livable part of the country starts to look talking. Doing research should not detract from teachmg. very attractive. And judging from the applicant pool for It should enhance it! three mathematics faculty vacancies we had at Colby the Four-year colleges such as my own are teaching last year, it looks very attractive to others too. establishments. No doubt about that. Their goal and pride is to provide a first rate, balanced educatio~ to a small (and often highly selected) group of bnght at a Small College students. So they look for faculty whose dedication to Life undergraduate teaching is total. That means faculty who What is life like for the research mathematician at like students who enjoy working with them, and who a small college? What do places like Colby look for are ready to the needs of those students above their in their faculty? In particular, what was I looking for ~ut own research programs. That is the kind of individual as I set about hiring three new mathematics faculty attention that parents pay for when they send their members last year? First rate teachers, certainly. But offspring to a prestigious, small, private coll~ge. . . also had to be accomplished (or very promising) they But who are the people giving that dedtcated, mdt researchers. By and large, what their research consisted vidual tuition? If I were paying for my son or daughter's of did not matter. We are not in the research game private college education (and I shortly will be), I would in the way that places like Stanford and MIT and want the professors to be active scholars, men and wome.n the large state universities are. We do not depend on truly involved in their subject, who could convey to thetr huge amounts of outside research funding. We have no students a genuine love and enthusiasm for scholarship graduate courses, so we are not highl~ r~stricted. as ~o ~he and for rolling back the frontiers of knowledge. I would research interests of our faculty. Wtthm certam hmtts, not care exactly what the professor's research program any good mathematician can teach most undergradu~te was all about. Indeed, I might well not understand the courses. The inter-departmental struggles that Barwtse first thing about it. But I would like to know that my alluded to in his article do not arise in an institution Alice, John, or what have you, was being taught by a commited to a liberal arts education. real academic, active in his or her own field and aware small, private, fo.ur-ye~r So professors at the better, of the latest developments, one who exemplifies the fact colleges find themselves with enormous freedo~ m thetr that mathematics is not a spectator sport. research. Interdisciplinary research of the kmd that Barwise talks of, often so problematical at the large research universities, is positively welcomed at small A Question of Degree colleges committed to a broad, multi-subject education, In the end it comes down to a question of degree: how where departmental boundaries are often no boundary much teaching and how much research? And here lies the at all. (As we all know only too well, fighting for research root of the problem Barwise raised. When the pressure 1258 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Computers and Mathematics on university faculty is overwhelmingly directed towards haps more by accident than design, the U.S.A., with its research, teaching can suffer and the student loses. Just diverse system stretching from large research universities as the student loses if the small-college professor does to the small, liberal arts colleges, is now able to offer not have the intense relationship with the subject that is today's academics an individual freedom similar to that part and parcel of research. enjoyed by our European forefathers. The difference between the research university and It will always be the case that some people need or the college should be not one of all research or all prefer to work in a large research university, while others teaching, as is so often the case (or so it seems), but of seek the deeper involvement with their students that only priorities. the small college can provide. An age of sophisticated At a research university, research has (within limits) electronic information networks can allow both groups a priority over teaching when it comes to questions to function together as a whole as far as research is of hiring, promotion, and tenure decisions. There is concerned, and that surely can only be to the good of nothing wrong with that. As Barwise notes, research everyone, faculty, students, and society at large. is not something to be ashamed of, but rather is an Things have changed a great deal for the research important function, critical to the nation's survival. mathematician. We no longer work in communities; we At a four-year college, the priorities go the other way. work in networks. For the mathematician of yesteryear, But at both kinds of institution, both types of activity getting into the right academic community was all im are important. portant. Today the critical step is plugging in to the right And both kinds of institution can provide the kind of network. computer-aided, undergraduate experience of mathemat ical discovery that Barwise thinks would be beneficial to today's mathematics students. Only two ingredients are required for that: dedicated faculty and adequate computing resources. Neither of these is the prerogative of any one type of institution. Indeed, by any reasonable Mathematical Freeware measure, both are cheap these days. If anything, it is the and Shareware small colleges that are currently leading the way in this kind of activity. In his book Algorithmic Information Theory (Cambridge University Press, 1987, 1988, 1990), Gregory Chaitin constructs a 200-page equation that shows that there is Small Colleges and the Research Game randomness in arithmetic. (For more information, see To my newcomer's eye, the U.S. is in far better educa pages 984-987 of the October 1989 AMS Notices, or tional shape than it often appears to realize. Long ago Chaitin's collection of his papers, Information, Random in Europe, before the era of centralized research funding ness e3 Incompleteness, World Scientific, 1987, 1990.) and grant applications (to say nothing of grant applica This monster equation is mostly a LISP interpreter tion consultants), scholars used to support their research clothed in algebraic language, the LISP in question being activities by teaching the sons of the wealthy and the a toy version of pure LISP invented by Chaitin expressly titled. They earned the freedom to pursue their own re for this purpose. A great deal of software was involved search exactly as they wanted, by presenting themselves in producing this LISP interpreter in the form of an as teaching scholars, not professional researchers. It was equation. This software was originally written, mostly in a system that produced vast amounts of first-rate and assembly language, to run on an IBM mainframe. Chaitin truly original research. And it probably did the students has now rewritten everything in standard C and ported a lot of good as well. it to an IBM RISC System/6000 running AIX. Readers By and large, Europe, and particularly my own interested in obtaining this experimental software may Britain, is following a centralized path that removes contact him at [email protected], or write to him at the freedom to pursue original research programs. Per- IBM, P.O. Box 218, Yorktown Heights, NY 10598. NOVEMBER 1990, VOLUME 37, NUMBER 9 1259 Inside the AMS From Mathematical Reviews Literature Searching to MathSci Until 1982, finding a specific review or piece of informa tion in MR required manual searching of several indexes Taissa T. Kusma and MR issues. For example, in order to prepare a Manager of Database Services 15-year bibliography of works by an author or on a given subject, one would need to search the following printed The following article describes the development of MR Indexes: the 1973-79 and the 1980-84 cumulative MathSci, the computerized and expanded versions indexes and the annual indexes of 1985, 1986, 1987, of Mathematical Reviews, over the last decade and 1988, and 1989. To include more current MR entries, the role of the Database Services Department in its the 1990 monthly issues would also have to be scanned. development, distribution, and user support. Once the relevant entries had been found and marked, each bibliographic reference had to be written, sorted, and typed. It seems incredible that gathering information was this time-consuming only a decade ago! In 1982 searching for information in mathematics became enormously easier with the introduction of the Introduction computerized version of MR, called MATHFILE. Now Mathematical Reviews (MR) has been in use since 1940. the searcher could simply enter the name of an author Its monthly issues are a key to the research literature for or subject terms and, in seconds, the list of citations mathematicians around the world. Over 14,000 math was ready to be displayed, downloaded or printed on ematicians also participate in its creation by writing command. evaluative or descriptive reviews for MR. Ten years ago Online searching was not only a time-saver; the MR was available in printed form only. Today there computer could also perform complex searches, almost are several electronic versions in addition to print: a) impossible to do manually. Boolean operators 'AND', MathSci Disc. The reviews of the last 10 years can be 'OR' and 'NOT' and features such as proximity operators searched and browsed by using the 2 compact discs (CD allowed the searcher to combine concepts, search for ROM) with a PC or a Macintosh. b) MathSci Online. phrases, and select or exclude records with any specified Thirty years of MR with other subfiles can be accessed attributes. via terminal and telephone from almost anywhere in the world. c) MathSci Tapes. In some institutions Math Sci is loaded on local mainframes for access by faculty and MATHFILE - MR Online students. An electronic version of MR became possible when The creation and production of MR is described in the AMS changed to a computerized typesetting sys detail in two earlier issues of Notices: In December 1989 tem, beginning with the July 1979 MR issue. The MR "From Published Paper to MR Review: How Does it cumulative index for 1973-79 was also produced in Happen?", by Dr. Jane E. Kister, Associate Executive machine-readable form. These MR files could be ma Editor of MR, and in February, 1990 "The Mathematical nipulated into different formats and used for electronic Reviews Database: The Power of Modern Technology", versions of MR information. by Dr. William B. Woolf, Associate Executive Director The Society decided to make the MR files avail of the AMS and former Managing Editor of MR. This able online through commercial vendors. At that time, article focuses on the electronic products developed from databases in other disciplines (such as chemistry, biology, the MR database since 1980. and psychology) were already online. 1260 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Inside the AMS Preparations for 'Going Online' included negotiation "***" in place of the mathematical expressions. This was of vendor contracts, design of the database format, also rejected. writing of user documentation, and development of a Finally, a decision was made to offer the complete marketing plan to promote the new service to its potential reviews online and represent the mathematical symbols users. These ongoing tasks continue to be the basis for with descriptive mnemonics (even though they would ap the Database Services Department (OS). pear strange to the eye of the mathematician). A program Vendor Contracts. Agreements were signed in 1981 was developed at MR to remove all typesetting codes with commercial vendors BRS* and DIALOG, with from the files and to change the encoded mathematics ESA-IRS (European Space Agency) in Italy in 1983, with to mnemonics. It worked in most cases; however, certain the Japanese academic vendor NACSIS (National Center complex expressions were not accurately represented. A for Science Information System) in 1987, and with better system was needed if our online database was to SilverPlatter (CD-ROM) in 1988. Financial terms and be fully transportable, mathematics and all. database file design were negotiated with each vendor. lEX and Mathematics Online. The needed improve Other terms in the contract dealt with user/usage reports, ments came in 1985, when the AMS changed its type correction of records, and other details. setting to TEX, allowing faithful reproduction of the Developing the Market. A marketing plan was pre most complex expressions without loss of accuracy. By pared to promote the new product, MA THFILE, to its a happy coincidence, TEX implementations were de potential users - the librarians (intermediary searchers) veloped for the PC and then for the Macintosh, and and the mathematicians (end users). Promotion included librarians/searchers began using PCs for searching on the preparation of brochures and press releases and line. It would now be possible to bring the reviews, with placement of ads in library journals. It was important to the mathematics, online! inform librarians/searchers about MR Online since the Efforts began at the AMS to develop MathSciTEX librarians, who perform searches on request, are often software for "TEXing" MR online records on PCs. There expected to decide which databases should be searched was also an opportunity to bring MATHFILE users and for the requested information. User-training workshops TEX users together to see how the two interact. were arranged at various libraries, to explain MATHFILE lEX Library. Librarians, accounting for over 85% of coverage, structure of the file, and various features such online searching, were not familiar with TEX and turned as the use of the MR subject classification for searching. to the AMS for help in obtaining the necessary software Exhibits of MATH FILE were planned for both library for MathSci. The AMS decided to become a distributor and mathematics meetings. A test file of MR Online was of TEX products for microcomputers (DOS machines shown at the AMS meeting in Cincinnati in January and the Macintosh). The original goal was to provide 1982 and in Toronto in August 1982. A comprehensive one convenient source for all necessary pieces of TEX for 200-page user guide was written and published by AMS MathSci users. However, the TEX Library at the AMS before the release of MATHFILE. OS also worked with soon became a popular source of TEX products for many the vendors in the preparation of system-specific MATH authors as well as for MathSci users. FILE documentation. MATHFILE became available in The AMS does not carry all available TEX imple October of 1982. mentations, since their number is increasing and some Database Design. MA THFILE was at that time a by are available in the public domain. In addition to com product of the printed MR. The MR data was keyboarded mercial TEX products, the AMS distributes ANtS-TEX exclusively for the production of the printed publication; and AMSFonts. These have recently become available mathematical symbols, "mathematics", and other special via Internet on the AMS e-MATH system (see October characters were encoded with typesetting codes. There 1990 Notices, page 1029). At the present time, users of was no satisfactory way to reproduce mathematics on MathSci on the DIALOG system can TEX records on the computer for use by the online searcher. DOS machines. Users of MathSci Disc can TEX records The AMS considered several solutions to the math on PCs or the Mac; the necessary components for use ematics problem in an online environment. The first with MathSci can be obtained from Database Services. option was to withhold the reviews and use only the bibliographic references. This solution was rejected since Expansion of MATHFILE into MathSci valuable in-depth searching of reviews would be impos In 1985 the AMS began to expand MATHFILE, con sible. Another option was to use the text of the reviews, taining MR 1973-85. The goal was to add more current but to strip out the mathematics, substituting " ... " or material, older MR files, and to broaden the coverage of applied mathematics with additional indexes. In con *MathSci is no longer available via BRS. After the purchase of junction with this expansion, the name MATHFILE was BRS by Maxwell Online, MathSci was discontinued in Sept. 1990 - the changed to MathSci to reflect the broader coverage of vendor is now focusing primarily on the biomedical market. the mathematical sciences. NOVEMBER 1990, VOLUME 37, NUMBER 9 1261 Inside the AMS Current Mathematical Publications ( CMP) was added on the project of converting the ACM files from four as the Current Awareness subfile of MathSci. The tri different typesetting formats to the MathSci format. This weekly CMP gives an advance listing of items to be included the conversion of mathematics into TfX. To reviewed in MR (or placed in the MR index). A search date, CR 1984-90 and GCL 1986-89 have been added query of MathSci now retrieved both the MR records to MathSci and work is being completed on data from and the newly-published (and some not-yet-published) 1981-1985. papers listed in CMP. To avoid duplicate records, CMP Stanford Technical Reports (STR). A more recent entries were deleted and replaced with the completed addition to MathSci is the STR subfile, a listing of MR records as they became available. 30,000 technical reports in computer science, collected Next, the MR 1959-72 bibliographic references were from various institutions by Stanford University Library. added to MathSci, increasing the MR subfile by 200,000 This is MathSci's only non-published literature subfile. entries - a valuable addition for retrospective searching. MATHFILE had proven itself as a time-saving re search tool for mathematicians and researchers from other disciplines. In fact, we were surprised to learn MathSci Disc- Compact Disc (CD-ROM) (from the librarians/searchers) that many users of Math MathSci Online is excellent for finding specific pieces Sci were not mathematicians, but researchers from fields of information from a very large volume of data. It such as computer science, statistics, engineering, and can be very economical for the occasional user, since other related disciplines who needed information on ap there is no up-front charge; although there is a usage plied mathematics. The usefulness of our online service fee. Mathematicians, however, were asking for a search could be enhanced by increasing the coverage in these ap system without usage charges; one they could use at plied areas. The AMS responded to market demands and leisure, on their own, without having to arrange the decided to add applied material from other publishers. search through an intermediary searcher. Such a system CIS. We first approached the statisticians, publish came along in 1989 in the form of a compact disc ers of the Current Index to Statistics (CIS). An annual MathSci Disc. printed bibliographic listing of the statistics literature, The compact disc (CD-ROM) medium for storing CIS contains applied material not covered in MR. The and retrieving information is an ideal system where a annual CIS is published jointly by the American Statisti high volume of usage is expected. A local self-contained cal Association (ASA) and the Institute of Mathematical system that can be used with either a DOS PC or Statistics (IMS) and is prepared by volunteer members a Macintosh, the CD-ROM has opened computerized of ASA/IMS. The annual index of approximately 10,000 searching to students and others who could not afford to records usually appears 6 months after the close of the search online. The only cost to the institution is an annual year. By making CIS available in MathSci, the infor lease fee for the CD-ROM (with semiannual updates); all mation would be available in timely updates and the usage is free - much the same as a subscription to printed comprehensive coverage of statistics would make Math MR. Users need not worry about the clock ticking as Sci useful. An agreement was signed with ASA/IMS and they search. They may, however, have to consider others the CIS (from 1980 on) was added to MathSci as a lining up to use the CD! separate CIS subfile. The AMS became the first scientific society to release TUKEY. The older literature of statistics, from 1902 its database on CD-ROM. The first issue of MathSci to 1968, has been thoroughly covered in the 4-volume Disc was distributed in March 1989. It contained all the printed Index to Statistics and Probability by John W. reviews from M R 1985-1988 and 70,000 CMP records on Tukey and Ian C. Ross, published in 1968. The files (on one 3.5 inch compact disc, with room left for updates. an old tape) were purchased from publisher Jim Dolby, Subsequent updated CDs were produced in July and converted to MathSci format (with difficulty) and added December 1989, the latter containing MR 1985-89 (plus to MathSci as the TUKEY subfile. This became the CMP) and almost filling the CD. oldest segment of our database, covering the literature In response to user requests, the AMS has recently back to the beginning of the century. expanded MathSci Disc to a two-CD system (rather ACM. Next we decided to augment the computer than continuing with a one-CD system that contained science coverage of MathSci. We began discussions with only the most recent 5 years of MR). The MR 1981-86 the Association for Computing Machinery (ACM) which records have been placed on one CD and MR 1987- publishes two secondary publications that would comple June 1990 on the other "current" CD. CMP entries are ment the MR coverage: the annual index ACM Guide to present on both CDs. The "current" CD will be reissued Computing Literature (GCL) and the monthly reviewing in December with MR 1987-1990 records and CMP service Computing Reviews ( CR). After two years of entries. The popularity of MathSci Disc is growing at a negotiations, an agreement was signed and we embarked rate exceeding our expectations. 1262 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Inside the AMS MathSci Tapes mation and for the search system that finds and delivers The CD-ROM has become an extremely useful search the information. MathSci differs from a subscription to tool in many libraries. Users love it- it is free and easy to printed MR in that MathSci Disc (CD-ROM) is licensed use! It has raised in many an awareness of the existence for use on a 12-month basis (as are MathSci Tapes); of computerized searching. Yet, as more users discover updates are received for the duration of the lease. In the CD, some expect it to perform as a mainframe-based case of cancellation, the CDs (or tape files) are returned system: to be accessible from any terminal or computer, to the AMS. in the office or at home; to serve many users at the Marketing of electronic products/services is a more same time; and to search 50 years of abstracts from the complex operation than is marketing of books and complete MathSci database in one run. journals in print. Actual demonstrations of the database As a result of these rising user expectations and are necessary to convince potential users of its benefits the CD's limitations, a growing number of universities and to expand its use. Instruction on using books and are setting up mainframe-based local search systems. journals is not necessary, but users of databases do need Database tapes are loaded on the institution's main to be shown how to use an electronic service. Thus the frame computer, accessible to the whole campus. Such DS staff must be thoroughly familiar with the products information retrieval systems, running on commercially and systems being marketed. There is much interaction available search software, combine the advantages of the between our MathSci users and DS staff. In fact, it is CD-ROM (fixed annual lease, no usage fees, no telephone input from users that helps us develop enhancements as charges) with the advantages of the commercial online well as new services and products. systems like DIALOG (large storage capacity, power of Editor's Note: An article describing the design and the computer, fast retrieval, and multiple user access search capabilities of MathSci, including sample records from any location). of output, is planned for a future issue of Notices. This new popularity of the old tape services, available before the advent of online, is due in large measure to the emergence of the CD-ROM products and the users' The MathSci Tapes increasing appetite for information. e-MATH addresses that are available include the complete online database, As stated in the note in the October Notices (p. 1029), with all seven subfiles. MathSci Tapes are currently being the Internet address for telnet access to the e-MATH loaded at two universities and several other institutions machine is are considering MathSci Tapes for 1991. e-math.ams.com which is the machine's node name. Database Services Department Some users may need to access the machine using The DS department provides all marketing and support its Internet Protocol (IP) number (rather than the services for MathSci Online, MathSci Disc, and Math node name); the IP number is Sci Tapes. Electronic products and services require a 130.44.1.100 comprehensive marketing program and intensive user Users are urged to encourage their network managers support, such as training, documentation, help line and to install domain name resolvers (which allow the use other assistance. As changes and enhancements are made of node-name addresses). Use of IP number addresses in the database, they are communicated to the users. Any is discouraged by Internet managers because it reduces questions or problems with searching are answered. flexibility in address changing. In particular, the above Electronic versions of journals are actually services e-MATH IP number is subject to change. rather than products: the user pays for the use of infor- NOVEMBER 1990, VOLUME 37, NUMBER 9 1263 News and Announcements Mathematicians Receive of his work is in the theory of repre Mathematics, both in 1990. MacArthur Awards sentations of groups, but he has also Professor Kopell uses and devel Two mathematicians were among the established results in ergodic theory, ops methods of dynamical systems thirty-six MacArthur Fellows named complex manifolds, and functional to attack problems of applied mathe in July 1990 by the John D. and analysis. His recent interests have matics. She is especially interested in Catherine T. MacArthur Foundation. centered on the mathematics related questions involving self-organization DAVID KAzHDAN, professor of math to conformal field theory. in physical and biological systems. ematics at Harvard University, will Nancy Kopell was born Novem With L. N. Howard, she has written receive $275,000 over five years. ber 8, 1942 in New York City. Shere a series of papers on pattern forma NANCY KOPELL, professor of math ceived her bachelor's degree in math tion in oscillating chemical systems. ematics at Boston University, will ematics at Cornell University and Recently, with G. B. Ermentrout, receive a total of $290,000 over five her Ph.D. from the University of she has been concerned with de years. California at Berkeley, where she fo veloping mathematics appropriate to The MacArthur Fellowships, cused on dynamical systems. After analyzing neural networks that gov which range from $150,000 to holding a C. L. E. Moore Instructor ern rhythmic motor activity, such as $375,000 over five years based on ship at the Massachusetts Institute walking, swimming, and breathing. the age of the recipient, have no of Technology (1967-1969), she be Such systems are, roughly, large col strings attached. Individuals cannot came an assistant professor at North lections of units, each of which is an apply for the fellowships. Instead, eastern University and advanced to oscillator or a close mathematical rel names are proposed to the Foun the rank of professor in 1978. In ative of an oscillator. The aim of the dation by a group of more than 100 1986, she moved to Boston Univer mathematics is to help sort out which designated nominators in a variety of sity, where she is currently professor properties of the units and their in professions and areas of the country. of mathematics. She has held vis teractions have implications for the Dmitry-David Kazhdan was born iting positions at a number of in emergent properties of the networks. on June 20, 1946. He received his stitutions, including the Centre Na The techniques include extensions of Diploma in 1967 and his Kandi tional de la Recherche Scientifique invariant manifold theory, averaging date Degree in 1969, both from ( 1970), the Massachusetts Institute theory, and geometric methods for Moscow State University. At that of Technology (1975, 1976-1977), singularly perturbed equations. The same institution, he held the posi the California Institute of Technol current work has led to the forma tion of researcher in the Laboratory ogy ( 1976), and the Science Research tion of a highly interactive group of Mathematical Methods in Biology Council in England ( 1976). She was of physiologists and mathematicians, from 1969 to 1975, when he came a Sloan Fellow (1975-1977), an In headed by Professor Kopell. In addi to Harvard University as a visiting vited Speaker at the AMS meeting tion, she is also currently interested professor. He is currently professor in Philadelphia ( 1980), a Univer in geometric techniques in dynamical of mathematics at Harvard. sity Lecturer at Northeastern ( 1980), systems. Professor Kazhdan is known for an Invited Speaker at the Interna his deep contributions to the fields tional Congress of Mathematicians Foundation Makes Awards of algebraic geometry, automorphic ( 1983), a Guggenheim Fellow ( 1984- to Women Scholars representations, differential geome 1985), an R. Bowen Memorial Lec The Educational Foundation of the try, differential equations, represen turer at Berkeley ( 1986), and a Ple American Association of University tations of finite groups, number the nary Speaker at two meetings of the Women (AAUW) has awarded fel ory and mathematical physics. Most Society for Industrial and Applied lowships and grants amounting to 1264 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY News and Announcements more than $2 million to 101 women Massey received his bachelor's de gion a sharp interface or a transition scholars. Among the awardees are gree in physics in 1958 from More layer. This portion of the program three mathematicians. house College in Atlanta. After com (September-January) was discussed TAMAR SCHLICK of New York pleting his doctorate in physics at in the July I August 1990 issue of No University will receive a Postdoc Washington University in 1966, he tices. The second half of the program toral Fellowship for her theoretical was a fellow and then a research (February-June) will focus on free investigations into the structure, en physicist at Argonne until 1968. He boundary problems and on diffusion ergetics and dynamics of supercoiled was an assistant professor of physics problems involving a singular mech DNA. MARIA BROOKS, a statistician at the University of Illinois at Urbana anism, such as a degeneracy and free at the University of North Carolina Champaign from 1969 to 1970, when boundaries. Here the physical areas at Chapel Hill, will recieve a Disser he moved to Brown University. He to be considered will include porous tation Fellowship for her research in left Brown in 1979 to become di flow, jets, cavities, lubrication, com bandwidth selection methods for ker rector of Argonne and professor of bustion, plasma, coating flows, and nel estimators of the intensity func physics at Chicago. He assumed his the dispersal of biological popula tion of a non-homogeneous Poisson current position at Chicago in 1984. tions. process. Also receiving a Disserta Massey's research has centered on During March 11-15, 1991 the tion Fellowship is TAMARA OLSON of the many-body theories of quantum IMA will present the Workshop Free New York University, whose research liquids and solids. Outside of re Boundaries in Viscous Flows, orga focuses on homogenization methods search, he has been active on many nized by R. Brown, S. Davis, and S. for coupled fields in composite ma advisory boards for scientific and ed Kistler. Viscous flows interact with terials. ucational affairs. Currently a member liquid/fluid interfaces and solidifica Information on applying for fel of the President's Council of Ad tion fronts in a wide variety of tech lowships from AAUW may be found visors on Science and Technology, nologies including the processing of in the October 1990 issue of Notices, Massey is a former member of the coatings, polymers, semiconductors page 1040. National Science Board, the policy single crystals and other advanced making body of the NSF. In addition, materials. This workshop will ad he is currently Vice President of the dress the mathematical treatment of Massey Named to Head NSF American Physical Society and for the dynamical and instability phe Walter E. Massey has been named di mer President of the American As nomena in such flows. rector of the National Science Foun sociation for the Advancement of On April 15-19, 1991 the IMA dation (NSF). Massey is professor Science. will hold the Workshop Variational of physics and Vice President of the Problems, organized by A. Friedman University of Chicago for Research News from the and J. Spruck. One aim is to highlight and for Argonne National Labora Institute for Mathematics new methods directions and prob tory. He will replace Erich Bloch, and its Applications lems in variational and free bound who served at the NSF for a six-year University of Minnesota ary theory. Some examples of topics term. The ongoing 1990-1 991 academic include noncoercive variational and Massey's nomination to the NSF year program at the Institute for quasi-variational contact problems, post has received widespread support Mathematics and its Applications free boundary problems with sur in the scientific community. Many (IMA) is Phase Transitions and Free face tension in non-variational form, have pointed to his broad experi Boundaries. The organizers are R. new variational formulations and ap ence in academia, education, and Fosdick, M.E. Gurtin, W.-M. Ni, and proximations to problems in plasma administration as key assets. In ad L.A. Peletier. The Advisory Com physics.The organizers hope also to dition, some have noted that because mittee is: H. Brezis, L.A. Caffarelli, concentrate on novel applications of Massey is a highly-regarded black sci D. Kinderlehrer, and J. Serrin. The variational methods to applied prob entist, his serving in the NSF post aim of the program is to understand lems, that connect well to current is particularly timely, as the Founda certain types of physical behavior mathematical theory. One such area tion is intensifying efforts to attract which occur in phase transitions and of concentration will be on varia more minority students into science, in phenomena which involve free tional problems for the reconstruc mathematics and engineering. boundaries. tion and segmentation of images. Until the end of the year, Massey The first half of the year is con The Workshop Degenerate Diffu is on sabbatical in France, where he cerned with phase transitions and sions will be held May 13-18, 1991. is studying technology transfer. NSF is concentrating on equilibrium and W.-M. Ni, L.A. Peletier and J.-L. Deputy Director Frederick Bernthal dynamical problems involving two or Vazquez are the organizers. The em is currently acting director. more phases, with the transition re- phasis in this workshop will be on NOVEMBER 1990, VOLUME 37, NUMBER 9 1265 News and Announcements current and new problems in nonlin teraction. Postdoctorates spend 50% MSI is accepting applications for ear diffusion equations involving free effort working with a team of sci the position of postdoctoral visitor boundaries or sharp interfaces. The entists from one of the sponsoring for the academic year beginning Au study of degenerate diffusion equa industries and 50% effort in the reg gust 1991. MSI will offer appoint tions is actively pursued in many ular IMA program. Applications for ments for research in nonlinear anal places. The objective of this work the 1991-1992 program year are due ysis, stochastic analysis and symbolic shop is to provide some focus in this January 15, 1991. methods in algorithmic mathemat endeavor. and by inviting scientists For more details concerning any ics. For complete information, con and engineers as well as mathemati of these programs, see the Stipends sult the announcement elsewhere in cians, to keep it firmly linked to section of the October issue of No this issue of Notices or contact W.V. concrete problems. The last two days tices and the Meetings and Confer Kane, Associate Director, at the ad of the workshop will be a celebration ences section of this issue. dress below. of J. Serrin 's sixty-fifth birthday. The MSI recently moved into a Finally, on May 30 and 31, 1991 News from the new and expanded headquarters. To the IMA in cooperation with the Cen Mathematical Sciences Institute attend a workshop or for information ter for Interfacial Engineering will Cornell University on MSI activities, contact the MSI host a special session on Polymer The many aspects of partial differen at their new address: Suite 321, 409 Configurations: Nonlinear and Non tial equations are being explored in College Avenue, Ithaca, NY 14850- local Diffusion Problems. This spe a special program of invited lectures 4697; 607-255-8005; Fax: 607-255- cial session will constitute the first at the Mathematical Sciences Insti 9003. two days (and the more mathemat tute (MSI). This fall we have already ical part) of the meeting Tethered heard from P. Constantin (Univ. of Chains 1: A Symposium on the Sci Chicago) on PDE's and Fluid Me ence of Polymer Surfactants, May 30- chanics, from A. Eden (Arizona State Argonne Program for June 3. The June l-3 program will be Univ.) on Exponential Attractors for Mathematics Education held in northern Minnesota. The or Navier-Stokes Equations and from Argonne National Laboratory will es ganizers of the full program are F.S. G. Ponce (Pennsylvania State Univ.) tablish a mathematics visualizaton Bates, T.P. Lodge and M. Tirrell. on Dispersive Equations. J .-C. Saut laboratory at Chicago State Univer Tethered chains refers to polymer (Univ. Paris-XU and Paris Sud) will sity, as part of a new computer chains that are attached to surfaces speak on Linear and Nonlinear Dis based educational project to improve or grafted on to structures by their persive Waves in March and April mathematics teaching in Chicago ends. The symposium will cover the 1991, and C. I. Foias (Indiana Univ.) area schools. The project, called A oretical experimental and computer will discuss Navier-Stokes Equations PRIME, is based on Mathematica simulation work on the configura during the summer of 1991. Other software and is designed to strengthen tions and manifestations of the sig visits are being planned. For fur teachers' understanding of mathe nature behavior of tethered chains. ther information, please contact P. matical principles. The mathematical theory of tehtered Holmes or E.S. Titi at the address Argonne computer scientists will chains is currently founded on the below. work with Chicago State faculty to analysis of self-consistent field equa In addition, a workshop on the develop computer files called "note tions of the Schrodinger or biased Mathematics of Computation in Par books" and classroom materials that diffusion type equations, leading to tial Differential Equations will cele illustrate mathematical concepts. a variety of nonlinear and nonlocal brate the 60th birthday of J .H. Bram Notebooks can be run interactively, diffusion problems. ble. Organized by L. Wahlbin, R. allowing users to choose topics, en The IMA Postdoctorates in In Falk, V. Thomee and A. Schatz, this ter details of problems and receive dustrial Mathematics program is now workshop will be held January 25-27, numerical and pictorial results. underway with four new postdocs in 1991. A broad range of topics related Other goals of A-PRIME include residence. These appointments are in to the mathematical theory of nu developing a college curriculum to addition to the regular IMA post merical methods for partial differen train future teachers more effectively doctoral program and are funded tial equations will be discussed. For in mathematics and science, creat jointly by the NSF and by Honey information, contact L. Wahlbin or ing a training program for in-service well, Inc. and 3M. They are designed A. Schatz at the MSI; 607-255-4013; teachers based on computer visu to prepare mathematicians for re wahlbin@mssun 7 .msi.cornell.edu or alization techniques and developing search careers involving industrial in- schatz@mssun 7 .msi.cornell.edu. graphics tools for future classrooms. 1266 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Funding Information for the Mathematical Sciences Research Opportunities deadline had not been made, but program, would be happy to provide for Women NSF staff said it would most likely program announcements and more The National Science Foundation be January 15, 1991. information. He can be reached at: (NSF) sponsors a number of activ Proposals for the Research Plan Division of Mathematical Sciences, ities to provide support for women ning Grants and the Career Advance Room 339, National Science Foun researchers in all science and engi ment Awards are handled differently dation, 1800 G Street, NW, Wash neering disciplines. As a participant from regular research grants, as they ington, DC 20550; telephone 202- in these efforts, the NSF's Division are reviewed by a panel rather than 357-3693; email [email protected] of Mathematical Sciences (OMS) en through mail review. The panel as on Internet (or use @nsf.arpa for courages women mathematicians to sessment assures that these propos CSNET and @nsf for Bitnet). apply to the Research Opportunities als compete only among themselves. for Women (ROW) program. The format for proposals also differs Call for Proposals Three kinds of awards are avail considerably from that for regular for Calculus Renewal able through ROW. Research Plan research grants, so it may be wise to The National Science Foundation ning Grants are for women who have consult with OMS staff before apply (NSF) has for the past three years not previously served as principal or ing. Funds are limited, but the OMS sponsored a program to support proj co-principal investigators on individ would nonetheless like to encourage ects aimed at improving the teach ual federal research awards or whose more qualified women to apply. ing of calculus at the collegiate level. research career has been interrupted The third category of awards is Designed to stimulate the develop for at least two of the last five years. Research Initiation Awards, which are ment of high-quality calculus curric These grants provide limited support one-time grants designed to provide ula, the program is managed by the to facilitate preliminary studies and opportunities to women to become Division of Undergraduate Science, other activities related to a research actively engaged in research as inde Engineering, and Mathematics Edu project. The maximum grant avail pendent investigators. Like the plan cation with the cooperation of the able is $18,000. Career Advancement ning grants, these awards are open to Division of Mathematical Sciences. Awards assist in developing the ca those women scientists, mathemati Computer technology, more re reers of women researchers. These cians, and engineers who have not alistic applications, development of awards are intended for women who been principal or co-principal investi mathematical intuition, laboratory ex have an established research career gators on research grants before. The periences, increased student involve in their current field or in a new procedure for applying for the Re ment in the learning process, and one. Women who have had previous search Initiation Award is the same concepts rather than manipulation research support are eligible for the as for a regular research grant; check of formulas-these are some of the program, but this is not required. The ing a box on the proposal cover sheet emphases of the projects funded in maximum grant available is $50,000. indicates that the proposal should this program. The program has also At the time of this writing, the be considered for funding under the sponsored several workshops, pro eligibility requirements for these two ROW program. As with all research vided start-up funding for the UME grants were under discussion at the proposals submitted to the OMS, TRENDS newsletter on undergrad NSF. Those interested in applying there is no deadline, but it's best to uate mathematics education reform, should consult a copy of the current get them in soon after the start of and supported a project to dissemi program announcement or discuss the fiscal year (October 1). nate descriptions and summaries of a the new requirements with NSF staff. Peter W. Arzberger, the OMS pro host of calculus reform projects. (For In addition, a final decision on a gram officer in charge of the ROW a list of the proposals most recently NOVEMBER 1990, VOLUME 37, NUMBER 9 1267 Funding Information funded, see the October 1990 issue or is significantly different from the Meetings and Conferences section in of UME Trends.) existing projects. this issue of Notices). From twelve to For the upcoming round of pro The closing date for proposals is twenty Symposia will be scheduled posals, there will be a new em February 8, 1991. The program an for 1994-1995. phasis on "Adaptation, Refinement, nouncement and more information For each proposal selected, IU and Implementation Projects." Pro are available from John S. Bradley, TAM will appoint a Scientific Com posals funded under this category USEME Room 639, National Sci mittee, the chair of which will nor may be regional or local in nature ence Foundation, 1800 G Street, mally be the individual submitting and will adapt, refine, and imple NW, Washington, DC 20550; tele the original proposal. Invitations to ment new approaches to calculus phone 202-357-7051; electronic mail attend a Symposium are made by the instruction that have already been [email protected] (Internet) or Scientific Committee solely on the developed and tested, at least on a jbradley@nsf (Bitnet). basis of scientific merit. A proposer small scale. The approaches adapted may indicate a preference for hold in these projects need not have been Proposals Sought ing his or her symposium in 1994 supported by the NSF. The projects for IUTAM Symposia or 1995, but the final decision on will involve substantial portions of The United States National Commit scheduling will be worked out jointly the calculus students and of the fac tee for Theoretical and Applied Me by the Scientific Committee and IV ulty who normally teach calculus. chanics (USNC/TAM) seeks propos TAM. Information about new approaches als from U.S. researchers for Sym IUTAM provides a small amount to calculus may be found in a report posia to be held under the auspices of of financial support to pay some of the Mathematical Association of the IUTAM (International Union of travel expenses, primarily for young America (MAA) entitled "Priming Theoretical and Applied Mechanics). scientists and scientists from devel the Calculus Pump: Innovations and The Symposia may be held anytime oping countries. Organizers of sym Resources." (The report is available during the calendar years 1994-1995. posia are encouraged to seek addi for $20 from the MAA, 1529 Eigh The aim of an JUT AM Sympo tional financial support from other teenth Street, NW, Washington, DC sium is to assemble a group of active sources. 20036.) scientists from a well-defined field Proposals to host symposia should In addition, the NSF calculus pro of research. In order to insure ef be submitted on a prepared applica gram will continue to fund promis fective communication, the number tion form. A Symposium-Invitation ing curriculum development projects of participants is limited to approxi Kit, consisting of the application that focus on topics typically covered mately sixty, and participation is by form, some examples of previously in the first two years of calculus. Cur invitation only. approved applications, and a list rently, the program supports several After a competitive screening of of recent symposia, may be ob pilot projects dealing with the differ proposals, the USNC/TAM will for tained upon request from: Profes ential equations and linear algebra ward to JUT AM a maximum of five sor Philip G. Hodge, Jr., Secretary, topics typically part of two-year cal for the two year period. Those pro USNC/TAM, 107 Akerman Hall, culus sequences; it is expected that posals will then compete against pro University of Minnesota, Minneapo proposals will now be received for posals from other countries. Final lis, MN 55455; telephone 612-625- curriculum development in those ar decisions will be made at the meet 3444 or 612-625-8000; electronic eas. Proposals that contain features ing of the General Assembly of JU mail: [email protected]. umn.edu or similar to those being addressed by T AM at the International Congress, [email protected]. Applica other projects should explain how to be held in Haifa, Israel, in August tions should be sent to the Secretary the proposed project improves upon 1992 (see the announcement in the no later than November 15, 1991. 1268 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY 1991 AMS Elections Nominations by Petition Vice-President or Member-at-Large The new members will be elected in a preferential ballot. One position of vice-president and member of the Council ex The President will name at least six candidates for these three officio for a term of two years is to be filled in the election of places, among whom may be candidates nominated by petition 1991. The Council intends to nominate at least two candidates, in the manner described in the rules and procedures. among whom may be candidates nominated by petition as de The candidate's assent and petitions bearing at least I 00 scribed in the rules and procedures. valid signatures are required for a name to be placed on the Five positions of member-at-large of the Council for a term ballot. In addition, several other rules and operational consid of three years are to be filled in the same election. The Council erations, described below, should be followed. intends to nominate at least ten candidates, among whom may be candidates nominated by petition in the manner described in the rules and procedures. Rules and Procedures Petitions are presented to the Council, which, according to Use separate copies of the form for each candidate for vice-president, Section 2 of Article VII of the bylaws, makes the nominations. member-at-large, or member of the Nominating and Editorial Boards The Council of 23 January 1979 stated the intent of the Coun Committees. cil of nominating all persons on whose behalf there were valid 1. To be considered, petitions must be addressed to Robert M. Fossum, Secretary, P.O. Box 6248, Providence, Rhode Island 02940, petitions. and must arrive by 28 February 1991. Prior to presentation to the Council, petitions in support of 2. The name of the candidate must be given as it appears in the a candidate for the position of vice-president or of member-at Combined Membership List. If the name does not appear in the list, as large of the Council must have at least 50 valid signatures and in the case of a new member or by error, it must be as it appears in must conform to several rules and operational considerations, the mailing lists, for example on the mailing label of the Notices. If the which are described below. name does not identify the candidate uniquely, append the member code, which may be obtained from the candidate's mailing label or the Providence office. 3. The petition for a single candidate may consist of several sheets Editorial Boards Committee each bearing the statement of the petition, including the name of the Two places on the Editorial Boards Committee will be filled by position, and signatures. The name of the candidate must be exactly election. There will be four continuing members of the Editorial the same on all sheets. Boards Committee. 4. On the next page is a sample form for petitions. Copies may be The new members will be elected in a preferential ballot. obtained from the Secretary; however, petitioners may make and use The President will name at least four candidates for these two photocopies or reasonable facsimiles. places, among whom may be candidates nominated by petition 5. A signature is valid when it is clearly that of the member whose name and address is given in the left-hand column. in the manner described in the rules and procedures. 6. The signature may be in the style chosen by the signer. The candidate's assent and petitions bearing at least I 00 However, the printed name and address will be checked against the valid signatures are required for a name to be placed on the Combined Membership List and the mailing lists. No attempt will be ballot. In addition, several other rules and operational consid made to match variants of names with the form of name in the CML. erations, described below, should be followed. A name neither in the CML nor on the mailing lists is not that of a member. (Example: The name Robert M. Fossum is that of a member. The name R. Fossum appears not to be.) 7. When a petition meeting these various requirements appears, Nominating Committee the Secretary will ask the candidate whether he is willing to have Three places on the Nominating Committee will be filled by his name on the ballot. Petitioners can facilitate the procedure by election. There will be six continuing members of the Nominat accompanying the petitions with a signed statement from the candidate ing Committee. giving his consent. NOVEMBER 1990, VOLUME 37, NUMBER 9 1269 NOMINATION PETITION FOR 1991 ELECTION The undersigned members of the American Mathematical Society propose the name of as a candidate for the position of (check one): D Vice-President D Member-at-Large of the Council D Member of the Nominating Committee D Member of the Editorial Boards Committee of the American Mathematical Society for a term beginning 1 January, 1992. Name and Address (printed or typed) Signature Signature Signature Signature Signature Signature 1270 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY CALL FOR SUGGESTIONS There will be a number of contested seats in the 1991 AMS elections. Your suggestions are wanted by THE NOMINATING COMMITTEE for president-elect, vice-president, trustee, and five members-at-large of the council and by THE PRESIDENT for three Nominating Committee members and two Editorial Boards Committee members In Addition THE EDITORIAL BOARDS COMMITTEE requests suggestions for appointments to various editorial boards of Society publications. Send your suggestions for any of the above to: Robert M. Fossum, Secretary American Mathematical Society Department of Mathematics University of Illinois 1409 West Green Street Urbana, IL 61801 MEETINGS San Francisco Meetings January 16-19, 1991 Supplement to Announcement in October Notices Please refer to the Preliminary Announcement for this meeting Other AMS-MAA Sessions which appears on pages I 083- 1127 of the October 1990 issue The title of the session on estate planning has been of Notices. The Important Deadlines from the preliminary an changed to Estate planning for the mathematical commu nouncement are reproduced below for convenience. The forms nity. for Preregistration/Housing, MAA Minicourses, and the Math ematical Sciences Employment Register are located at the back Other MAA Sessions of this issue. MARIA A. REID, Borough of Manhattan Community Col lege, has organized a session of contributed papers titled AMS-AWM-MAA Invited Address Hands-on strategies in teaching college mathematics. This The correct spelling of the name of this speaker is session is sponsored by the Committee on Opportunities CHRISTEL ROTTHAUS. in Mathematics for Underrepresented Minorities. The speakers are HuMBERTO CANATE, Hostos Community AMS Retiring Presidential Address College, CUNY; RoBERT GYLES, Community School The Retiring Presidential Address by G.D. MosTow has District 4, New York; CLAUDETTE BRADLEY, University been rescheduled for Wednesday at 9:00 a.m. It was of Alaska at Fairbanks, and Eo DuBINSKY, Purdue Uni originally scheduled for Saturday. versity. The session will be scheduled on Wednesday or AMS Committee on Science Policy Thursday. The AMS Committee on Science Policy government The CAS Workshop Reunion is now scheduled to speaker on Friday at I 0:05 a.m. is TIMOTHY 0. O'MEARA, begin at 6:30 p.m. on Wednesday evening instead of 7:00 Provost, University of Notre Dame. p.m. The student workshop on Thursday afternoon will be given by MARILYN DURKIN, Bentley College. The IMPORTANT DEADLINES title of the workshop is Chaos, fractals, and dynamics AMS Abstracts Computer experiments in mathematics. For Consideration for Special Sessions September 19 The title of the special lecture by LESTER LANGE Of Contributed Papers October 10 on Friday evening is Desirable scientific habits of mind MAA Abstracts learned from George P6lya. Of Contributed Papers September 25 Speakers and titles for the CCIME Panel Discussion Employment Register on Thursday at 2: 15 p.m. are DONNA BEERS, Simmons (Applicants & Employers) November 16 College, Calculus laboratories and cooperative learning; and Housing November 9 EARLY Preregistration ERIC MULLER, Brock University, Using MAPLE in a ORDINARY Preregistration and Housing November 16 calculus course; ANITA SoLow, Grinnell MAA Minicourse Preregistration November 16 large service FINAL Preregistration December 17 College, Writing materials for calculus labs. Motions for AMS Business Meeting December 10 An updated list of panelists for the MAA-NCTM Housing Changes/Cancellations with Panel Discussion on Saturday includes BERNADETTE H. Housing Bureau December 12 PERHAM, Ball State University; STEPHEN B. MAURER, Preregistration Cancellations (50% refund) January 11 Swarthmore College; and TIMOTHY V. CRAINE, Trinity Employment Register Cancellations (50% refund) January 11 College. AMS Banquet (50% refund) January 2 Further information about the Women and Mathe AWM Banquet (50% refund) January 2 matics (W AM) session on Friday morning follows: This MER Banquet (50% refund) January 2 program commemorates 15 years of service with a panel January 2 N AM Banquet (50% refund) discussion highlighting its past and present activities and 1272 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Meetings hopes for the future. EILEEN L. POIANI was the first sity, Higher order elliptic partial differential operators in director of the program, serving from 197 5 to 1981. She non-smooth domains, 4:50p.m. remains actively involved with W AM today as an advisor. The title of the AWM Emmy Noether lecture by MARY HESSELGRAVE has been coordinator of the New ALEXANDRA BELLOW is Almost everywhere convergence: York/New Jersey region since 1982, one of the three The case for the ergodic viewpoint. original regions. VIRGINIA KNIGHT, who is relatively new The AWM Open Reception has been moved from to the program, recognized the need for a W AM region in Wednesday evening to 9:30 p.m. on Thursday evening. North Carolina in 1988, organized participants, obtained Further information on the Association of Research funds, and now has a very active and growing region. Libraries (ARL) session on Friday evening follows: RosEANNA TORRETTO was one of the first participants of ANN OKERSON, Association of Research Libraries Of the W AM program, recruited by Jean Pedersen in 197 5 fice of Scientific & Academic Publishing, will give an for the Northern California region; she remains active overview of the sweeping changes occurring in schol in the program today. ALICE KELLY, the moderator, is arly publishing and communication, with the attendant the current director of WAM and has been an active effects on library budgets, library services, and implica member since its inception in 1975. Each panelist will tions for the academic community. NANCY ANDERSON, discuss her involvement in the program from her unique Mathematics Librarian, University of Illinois, will speak perspective. There will be time for questions from the on a mathematical sciences librarian's view of the infor audience and suggestions for W AM's future activities. mation "crisis" and its implications for collections and On Thursday from 9:00a.m. to 10:55 a.m. a session services to mathematicians in a research library setting. titled Intervention projects for minority students will be Emerging electronic projects to be one focus of this held. This session is being organized by WILLIAM A. presentation. A view of an AMS editor about meeting HAWKINS, Director of Strengthening Underrepresented needs of mathematics scholars; the Society's role in uti Minorities Mathematics Achievement (SUMMA). Pre lization of new technologies, creation of new products or senters include ARDEL BoEs, Colorado School of Mines, enhancements of existing products will be given by GER and CLAUDETTE BRADLEY, University of Alaska at Fair ALD JANUSZ, Executive Editor, Mathematical Reviews. banks; LLYOD GAVIN, California State University at A mathematician's view and response will be given by Sacramento; and MANUEL BERRIOZABAL, University of RICHARD A. AsKEY, University of Wisconsin, Madison. Texas at San Antonio. Remaining time will be for questions and discussions. The correct affiliation of the moderator of the CUPM Subcommittee on Quantitative Literacy Debate, Linda The Joint Policy Board for Mathematics and the Of R. Sons, is Northern Illinois University. fice of Governmental and Public Affairs (JPBM/OGPA) will hold its annual science policy session on Thursday, Activities of Other Organizations January 17. The speaker will be a distinguished federal The tentative schedule for the Association for Women policymaker with significant responsibility for mathe in Mathematics (A WM) Symposium on Wednesday, matics research and education policy. The session will January 16, follows: begin with a reception at 6:15 p.m. The address and CAROLYN DEAN, University of Michigan, Ann Ar discussion will begin at 7:00 p.m. bor, title to be announced, 8:00 a.m.; BERNADETTE Hotel Accommodations PERRIN-RIOU, University of Paris, P-adic representations Please note that the San Francisco Hilton on Hilton and L functions, 8:30 a.m.; MEI-CHI SHAW, University Square is offering a limited number of rooms at a spe of Notre Dame, Solvability and regularity for tangen cial student/unemployed rate. Persons requesting these tial Cauchy-Reimann operators, 9:00 a.m.; JIANG-HUA rooms on the Preregistration/Housing Form (found at Lu, Massachusetts Institute of Technology, A symplectic the back of this issue) are thereby certifying that they proof of a classical convexity result on complex matrices, meet the definition of student or unemployed as it ap 9:30 a.m.; RUTH J. WILLIAMS, University of California, pears on the front of the Preregistration/Housing Form, San Diego, Reflecting Brownian motions in polyhedral and should be prepared to sign a statement to this effect domains, 10:00 a.m.; LAURETTE TUCKERMAN, University if so requested. of Texas at Austin, Bifurcations and symmetry-breaking in computational fluid dynamics, 10:30 a.m.; LYNNE Miscellaneous Information M. BuTLER, Princeton University, Combinatorics and San Francisco is on Pacific STANDARD Time in Jan topology of subgroup complexes, 3:20 p.m.; SHAFI GOLD uary. WASSER, Massachusetts Institute of Technology, title to The Parent-Child Lounge will be furnished witr be announced, 3:50 p.m.; ELISE CAWLEY, SUNY at casual furniture, crib, a changing area, some assortec Stony Brook, Gibbs measures and deformations of toral toys, and a VCR and monitor. A television set will no diffeomorphisms, 4:20 p.m.; JILL PIPHER, Brown Univer- be available as previously announced. NOVEMBER 1990, VOLUME 37, NUMBER 9 1273 Invited Speakers and Special Sessions Invited Speakers Organizers and Topics at AMS Meetings of Special Sessions The individuals listed below have accepted invitations The list below contains all the information about Spe to address the Society at the times and places indicated. cial Sessions at meetings of the Society available at the For some meetings, the list of speakers is incomplete. time this issue of Notices went to the printer. The sec tion below entitled Information for Organizers describes the timetable for announcing the existence of Special San Francisco, CA, January 1991 Sessions. Please refer to the first announcement of this meeting which begins on page 1083 of the October Notices. January 1991 Meeting in San Francisco, California Associate Secretary: Andy R. Magid South Bend, IN, March 1991 Deadline for organizers: Expired Leonid G. Makar-Limanov Stephen D. Smith Deadline for consideration: Expired of this meeting Donald G. Saari Deane Yang Please refer to the first announcement which begins on page 1083 of the October Notices. Tampa, FL, March 1991 March 1991 Meeting in South Bend, Indiana Josefina Alvarez Michel L. Lapidus Central Section Associate Secretary: Andy R. Magid Ronald A. De Yore Donald St. P. Richards Deadline for organizers: Expired Deadline for consideration: December 13, 1990 Orono, ME, August 1991 Charalambos D. Aliprantis and Carl P. Simon, Mathe matical economics and dynamical systems H. W. Lenstra Richard M. Schoen Jonathan L. Alperin and Stephen D. Smith, Simpli (Progress in Mathematics (Progress in Mathematics cial complexes associated to finite groups and their Lecture) Lecture) representations Steven A. Buechler, Model theory Fargo, ND, October 1991 Frank X. Connolly, Geometric topology Ian D. Macdonald Henry C. Wente William G. Dwyer and Anthony D. Elmendorf, Algebraic Harald Upmeier Sylvia M. Wiegand topology Gail R. Letzter, Peter Malcolmson and Frank Okoh, Noncommutative ring theory Baltimore, MD, January 1992 John E. McCarthy, Hilbert spaces of analytic functions Michael E. Fisher Mohsen Pourahmadi, Probability and prediction theory (Gibbs Lecture) at Sectional Meetings are selected March 1991 Meeting in Tampa, Florida Invited addresses Southeastern Section by the Section Program Committee, usually twelve to Associate Secretary: Joseph A. Cima eighteen months in advance of a meeting. Members Deadline for organizers: Expired wishing to nominate candidates for invited addresses Deadline for consideration: December 13, 1990 should send the relevant information to the Associate Josefina Alvarez, Harmonic analysis and applications Secretary for the Section who will forward it to the Ronald A. DeYore, Edward B. Saff and B. Shektman, Section Program Committee. Approximation theory 1274 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Invited Speakers and Special Sessions David A. Drake, Chat Yin Ho and Geoffrey R. Robinson, November 1991 Meeting in Santa Barbara, California Finite groups and related topics Western Section Paul E. Ehrlich and Stephen J. Summers, Differential Associate Secretary: Lance W. Small Deadline for organizers: February 7, I99I geometry and mathematical physics Deadline for consideration: August 20, I99I Paul M. Gauthier, Several complex variables Ladnor D. Geissinger, William H. Graves and L. January 1992 Meeting in Baltimore, Maryland Senechal, Microcomputers and workstations in math Associate Secretary: Lance W. Small ematics: teaching and research Deadline for organizers: April 8, I99I .Joseph Glover and Arunava Mukherjea, Probability on Deadline for consideration: September II, I99I algebraic and topological structures March 1992 Meeting in Tuscaloosa, Alabama Michel L. Lapidus and Robert S. Strichartz, Fractal and Southeast Section spectral geometry Associate Secretary: Joseph A. Cima Sung J. Lee and Y. You, Operator methods for control Deadline for organizers: June I3, I99I problems Deadline for consideration: To be announced R. Kent Nagle and Mary E. Parrott, Nonlinear boundary value problems March 1992 Meeting in Springfield, Missouri John F. Pedersen, W. Edwin Clark, W. Richard Stark, Central Section Associate Secretary: Andy R. Magid Jospeh J. Liang and Gregory L. McColm, Mathemat Deadline for organizers: June 26, I99I ical issues in biologically motivated computing Deadline for consideration: To be announced Donald St. P. Richards, Hypergeometric functions on do mains of positivity, jack polynomials, and applications June 1992 Meeting in Cambridge, England Associate Secretary: Robert M. Fossum Deadline for organizers: September 28, I99I June 1991 Meeting in Portland, Oregon Deadline for consideration: To be announced Western Section Associate Secretary: Lance W. Small January 1993 Meeting in San Antonio, Texas Deadline for organizers: Expired Associate Secretary: W. Wistar Comfort Deadline for consideration: March 5, I99I Deadline for organizers: April 13, I992 Deadline for consideration: To be announced August 1991 Meeting in Orono, Maine August 1993 Meeting in Vancouver, Associate Secretary: Joseph A. Cima British Columbia, Canada Deadline for organizers: November I5, I990 Associate Secretary: Lance W. Small Deadline for consideration: May 8, I99I Deadline for organizers: November I I, I992 Deadline for consideration: To be announced October 1991 Meeting in Philadelphia, Pennsylvania Eastern Section January 1994 Meeting in Cincinnati, Ohio Associate Secretary: W. Wistar Comfort Associate Secretary: Joseph A. Cima Deadline for organizers: January 10, I99I Deadline for organizers: April 5, I993 Deadline for consideration: July II, I99I Deadline for consideration: To be announced Daniel B. Szyld, Numerical linear algebra January 1996 Meeting in Orlando, Florida Associate Secretary: Lance W. Small October 1991 Meeting in Fargo, North Dakota Deadline for organizers: April I2, I995 Central Section Deadline-for consideration: To be announced Associate Secretary: Andy R. Magid Deadline for organizers: January 25, I99I Information for Organizers Deadline for consideration: July I I, I99I Special Sessions at Annual and Summer Meetings are Joseph P. Brennan and Sylvia M. Wiegand, Commutative held under the supervision of the Program Committee algebra for National Meetings (PCNM). They are administered Dogan Comez, Ergodic theory by the Associate Secretary in charge of that meeting Kendall E. Nygard, Operations research with staff assistance from the Meetings and Editorial James H. Olsen and Mark Pavicic, Mathematical foun- Departments in the Society office in Providence. dations of computer graphics According to the "Rules for Special Sessions" of the Warren E. Shreve, Graph theory Society, Special Sessions are selected by the PCNM from Vasant A. Ubhaya, Approximation theory a list of proposed Special Sessions in essentially the same Harald Upmeier, Multivariate operator theory in sym manner as Invited Speakers are selected. The number metric domains of Special Sessions at a Summer or Annual Meeting NOVEMBER 1990, VOLUME 37, NUMBER 9 1275 Invited Speakers and Special Sessions is limited. The algorithm that determines the number Western Section of Special Sessions allowed at a given meeting, while Lance W. Small, Associate Secretary simple, is not repeated here, but can be found in "Rules Department of Mathematics for Special Sessions" on page 614 in the April 1988 issue University of California, San Diego La Jolla, CA 92093 of Notices. Electronic mail: [email protected] Each Invited Speaker is invited to generate a Special (Telephone 619- 534- 3590) Session, either by personally organizing one or by having Central Section a Special Session organized by others. Proposals to Andy R. Magid, Associate Secretary organize a Special Session are sometimes requested Department of Mathematics either by the PCNM or by the Associate Secretary. Other University of Oklahoma proposals to organize a Special Session may be submitted 60 I Elm PHSC 423 Norman, OK 73019 to the Associate Secretary in charge of that meeting (who Electronic mail: [email protected] is an ex-officio member of the committee and whose (Telephone 405-325-6711) address may be found below). These proposals must be Eastern Section in the hands of the PCNM at least nine months prior to W. Wistar Comfort, Associate Secretary the meeting at which the Special Session is to be held in Department of Mathematics order that the committee may consider all the proposals Wesleyan University for Special Sessions simultaneously. Proposals that are Middletown, CT 06457 Electronic mail: [email protected] sent to the Providence office of the Society, to Notices, (Telephone 203-34 7-9411) or directed to anyone other than the Associate Secretary Southeastern Section will have to be forwarded and may not be received in Joseph A. Cima, Associate Secretary time to be considered for acceptance. Department of Mathematics It should be noted that Special Sessions must be University of North Carolina, Chapel Hill announced in Notices in such a timely fashion that any Chapel Hill, NC 27599- 3902 member of the Society who so wishes may submit an Electronic mail: [email protected] (Telephone 919- 962- I 050) abstract for consideration for presentation in the Special As a general rule, members who anticipate organizing Special Session before the deadline for such consideration. This Sessions at AMS meetings are advised to seek approval at least nine deadline is usually three weeks before the deadline for months prior to the scheduled date of the meeting. No Special Sessions abstracts for the meeting in question. can be approved too late to provide adequate advance notice to Special Sessions are very effective at Sectional Meet members who wish to participate. ings and can usually be accommodated. The processing Proposals for Special Sessions at the June 29-July I, 1992, meeting in Cambridge, England, only should be sent to Professor Fossum at the of proposals for Special Sessions for Sectional Meetings Department of Mathematics, University of Illinois, Urbana, IL 6180, is handled in essentially the same manner as for Annual Telephone: 21 7-244-17 41, Electronic mail: [email protected]. and Summer Meetings by the Section Program Commit tee. Again, no Special Session at a Sectional Meeting may be approved so late that its announcement appears Information for Speakers past the deadline after which members can no longer A great many of the papers presented in Special Sessions send abstracts for consideration for presentation in that at meetings of the Society are invited papers, but any Special Session. member of the Society who wishes to do so may submit The Society reserves the right of first refusal for the an abstract for consideration for presentation in a Special publication of proceedings of any Special Session. These Session, provided it is received in Providence prior to proceedings appear in the book series Contemporary the special early deadline announced above and in the Mathematics. announcements of the meeting at which the Special More precise details concerning proposals for and Session has been scheduled. Contributors should know organizing of Special Sessions may be found in the that there is a limitation in size of a single Special "Rules for Special Sessions" or may be obtained from Session, so that it is sometimes true that all places are any Associate Secretary. filled by invitation. Papers not accepted for a Special Session are considered as ten-minute contributed papers. Abstracts of papers submitted for consideration for presentation at a Special Session must be received by the Providence office (Editorial Department, American Proposals for Special Sessions to the Mathematical Society, P. 0. Box 6248, Providence, RI Associate Secretaries 02940) by the special deadline for Special Sessions, The programs of Sectional Meetings are arranged by the which is usually three weeks earlier than the deadline for Associate Secretary for the section in question: contributed papers for the same meeting. The Council has 1276 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Invited Speakers and Special Sessions decreed that no paper, whether invited or contributed, speaks more than once. An author can speak by invitation may be listed in the program of a meeting of the Society in more than one Special Session at the same meeting. unless an abstract of the paper has been received in An individual may contribute only one abstract by Providence prior to the deadline. title in any one issue of Abstracts, but joint authors Electronic submission of abstracts is available to are treated as a separate category. Thus, in addition to those who use the TEX typesetting system. Requests to abstracts from two individual authors, one joint abstract obtain the package of files may be sent electronically via by them may also be accepted for an issue. the Internet to [email protected]. Requesting the files electronically will likely be the fastest and most convenient way, but users may also obtain the Site Selection for Sectional Meetings package on IBM or Macintosh diskettes, available free Sectional Meeting sites are recommended by the As of charge by writing to: Electronic Abstracts, American sociate Secretary for the Section and approved by the Mathematical Society, Publications Division, P.O. Box Committee of Associate Secretaries and Secretary. Rec 6248, Providence, RI 02940, USA. When requesting ommendations are usually made eighteen to twenty-four the abstracts package, users should be sure to specify months in advance. Host departments supply local in whether they want the plain TEX, A.J\ItS-TEX, or the ~TEX formation, ten to twelve rooms with overhead projectors package. for contributed paper sessions and special sessions, an auditorium with twin overhead projectors for invited Number of Papers Presented addresses, and registration clerks. The Society partially Joint Authorship reimburses for the rental of facilities and equipment, and Although an individual may present only one ten-minute for staffing the registration desk. Most host departments contributed paper at a meeting, any combination of joint volunteer; to do so, or for more information, contact the authorship may be accepted, provided no individual Associate Secretary for the Section. COMBINATORIAL GROUP THEORY Benjamin Fine, Anthony Gaglione and Francis C. Y. Tang, Editors Contemporary Mathematics, Volume 109 The AMS Special Session on Combinatorial Group Theory-Infinite Groups, held at the University of Maryland in April 1988, was designed to draw together researchers in various areas of infinite group theory, especially combinatorial group theory, to share methods and results. The session reflected the vitality and interests in infinite group theory, with eighteen speakers presenting lectures covering a wide range of group-theoretic topics. from purely logical questions to geometric methods. The heightened interest in classical combinatorial group theory was reflected in the sheer volume of work presented during the session. This book consists of eighteen papers presented during the session. Comprising a mix of pure research and exposition, the papers should be sufficiently understandable to the nonspecialist to convey a sense of the direction of this field. However, the volume will be of special interest to researchers in infinite group theory and combinatorial group theory, as well as those interested in low-dimensional (especially three-manifold) topology. 1980 Mathematics Suhject Classifications: 20 All prices subject to change. Free shipment by ISBN 0-8218-5116-0, LC 90-40475, surface; for air delivery, please add $6.50 per title. ISSN 0271-4132 Prepayment required. Order from American 191 pages (softcover), October 1990 Mathematical Society, P.O. Box 1571, Annex Individual member $22, List price S37, Station, Providence, RI 02901-1571, or call toll free Institutional member $30 800-321-4AMS (321-4267) in the continental U.S. To order, please specify CONM/109NA and Canada to charge with Visa or MasterCard. NOVEMBER 1990, VOLUME 37, NUMBER 9 1277 Joint Summer Research Conferences in the Mathematical Sciences University of Washington, Seattle, June 22 to August 2, 1991 The 1991 Joint Summer Research Conferences in the Department, American Mathematical Society, Post Of Mathematical Sciences will be held at the University of fice Box 6887, Providence, RI 02940 or by E-Mail: Washington, Seattle, from June 22 to August 2. It is an [email protected] on the Internet. ticipated that the series of conferences will be supported Please type or print the following: by grants from the National Science Foundation and other agencies. 1. Title and dates of conference desired 2. Full name There will be eight conferences in eight different 3. Mailing address areas of mathematics. The topics and organizers for 4. Telephone number and area code for office, home the conferences were selected by the AMS, Institute of and electronic-mail address Mathematical Statistics (IMS), and the Society for Indus 5. Member of AMS, IMS, or SIAM? If AMS, please trial and Applied Mathematics (SIAM) Committee on give member code Joint Summer Research Conferences in the Mathemat 6. Your scientific background relevant to the topic of ical Sciences. The selections were based on suggestions the conference made by the members of the committee and individuals 7. Financial assistance requested; please estimate cost submitting proposals. The committee considered it im of travel portant that the conferences represent diverse areas of 8. Indicate if support is not required and if interested mathematical activity, with emphasis on areas currently in attending even if support is not offered. especially active, and paid careful attention to subjects in which there is important interdisciplinary activity at The deadline for receipt of applications is March 1, present. 1991. Requests to attend will be forwarded to the Orga The conferences emulate the scientific structure of nizing Committee for each conference for consideration those held throughout the year at Oberwolfach. These after the deadline of March 1. All applicants will receive conferences are intended to complement the Society's a formal invitation and notification of financial assis program of annual Summer Institutes and Summer tance from the AMS. Requests received past the deadline Seminars, which have a larger attendance and are sub will be returned. Funds available for these conferences stantially broader in scope. The conferences are research are limited and individuals who can obtain support from conferences and are not intended to provide an entree to other sources should do so. Women and members of a field in which a participant has not already worked. minority groups are encouraged to apply and participate It is expected that funding will be available for in these conferences. a limited number of participants in each conference. Any questions concerning the scientific portion of Others, in addition to those funded, will be welcome, the conference should be directed to the chair or any within the limitations of the facilities of the campus. member of the Organizing Committee. In the spring a brochure of information will be mailed The Joint Summer Research Conferences in the to all who are requesting to attend the conferences. The Mathematical Sciences are under the direction of the brochure will include information on room and board AMS-IMS-SIAM Committee on Joint Summer Research rates, the residence and dining hall facilities, travel, local Conferences in the Mathematical Sciences. The following information, and a Residence Housing Form to use to committee members chose the topics for the 1991 confer request on-campus accommodations. Information on off ences: John A. Burns, Fan R. K. Chung, Leonard Evens, campus housing will also be included in the brochure. Martin Golubitsky, Anthony W. Knapp, Ingram Olkin, Participants will be responsible for making their own Emanuel Parzen, Stewart B. Priddy, Stephen Simpson housing and travel arrangements. Each participant will and Gregg J. Zuckerman. be required to pay nominal registration and social fees. Those interested in attending one of the confer N .B. Lectures begin on Sunday morning and run ences should send the following information to the through Thursday. Summer Research Conference Coordinator, Meetings 1278 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Joint Summer Research Conferences Saturday, June 22 to Friday, June 28 These theorems have been followed up by a con siderable amount of research activity. Further progress Stochastic modeling and statistical inference for has been made on "disjoint paths" problems in graphs selected problems in biology on fixed surfaces; embeddings of graphs in 3-space CHARLES SMITH (North Carolina State University), without knotted circuits, or without knotted or linked Co-Chair, circuits; structure theory for infinite graphs with a fixed GRACE L. YANG (University of Maryland, College infinite tree, grid, or complete graph excluded as a Park), Co-Chair minor; theorems about highly "locally planar" surface The conference will focus on problems in neuronal embeddings of graphs; "separator" theorems; "second activity, the effect of radiation on single cells, DNA order" well-quasi-ordering; and better-quasi-ordering of sequence analysis, and the transmission of infectious infinite trees with an "ordinal gap-condition". There diseases. a_re also recent related theorems in logic about Borel Major advances in measurement techniques have gen orders and the proof-theoretical analysis of well-quasi erated an abundance of data and a need for concomitant ordering theorems. Furthermore, in algorithmic theory advances in methods of analysis. Both the data and the many NP-complete problems have been shown to have new sampling techniques give rise to new problems in polynomial-time algorithms when restricted to graphs statistics and the demand for rethinking approaches to with structures arising in the theory of graph minors, existing problems. such as tree-structures of bounded width and surface Markov processes and counting processes have been structures. extensively used in the above biological research areas, The conference will bring together leading researchers e.g., in analyzing membrane channel data; studying in these areas of graph theory, computer science, oper the kinetic behavior of the ionic channels; searching ations research, and logic. It is intended to stimulate DNA sequences for regions of similarity and aligning further research on the open problems in the area which sequences; studying cell survivability, mutation, and are approachable by the new techniques. inactivation under radiation; investigating transmission Members of the Organizing Committee: Harvey M. mechanisms of infectious diseases. Stochastic differential Friedman (Ohio State University) and Bruce Alan Reed equation models have been used for investigating the (University of Waterloo). depolarization of the membrane potential of neurons. Active research areas in statistical inference include Saturday, June 29 to Friday, July 5 aggregated model identification, parameter estimation in Theory and applications of multivariate time series confidence stochastic processes, mixture of distributions, analysis sets, and partially observed data. These are emerging multidisciplinary research areas. ROBERT H. SHUMWAY (University of California, Invited speakers will be from statistics, stochastic pro Davis), Co-Chair cesses, and respective biological fields. RuEY S. TSAY (University of Chicago), Co-Chair Members of the Organizing Committee: Gopinath The theory and applications of multivariate time se Kalianpur (University of North Carolina) and Lucien Le ries analysis represent the cutting-edge of advanced study Cam (University of California, Berkeley). of stochastic processes and statistical inferences. They include many interesting and challenging research prob Saturday, June 22 to Friday, July 5 lems such as multi-dimensional and higher order spec tral analyses, exchangeable models, limiting theory of Graph minors nonstationary processes, model building, co-integration, NEIL ROBERTSON (Ohio State University), Co-Chair parameterization, and computing. Some nice results of P.D. SEYMOUR (Bell Communications Research), these problems have been obtained in the literature; Co-Chair many of them are yet to be resolved. Therefore, the main A minor of a graph G is obtained from a subgraph objectives of the conference are (a) to investigate canon of G by contracting away some of its edges. It has been ical representation of a process, (b) to discuss the recent shown that any set of finite graphs in which no graph development in multi-dimensional spectral analysis, (c) is isomorphic to a minor of another must be finite (i.e., to study asymptotic theory of nonstationary processes, that finite graphs are well-quasi-ordered). The proof is (d) to compare and discuss various model building pro through a general theory giving a structural description cedures available in the literature, (e) to investigate the of the graphs without a given graph as a minor. The same use of graphical methods in multivariate time series approach has resulted in an algorithm for the "k disjoint analysis, (f) to study the linear and non-linear dynamic paths problem", with polynomially bounded running of a system, and (g) to apply the theory and modeling time for fixed k, and in several other consequences. methodology of multivariate time series analysis to var- NOVEMBER 1990, VOLUME 37, NUMBER 9 1279 Joint Summer Research Conferences ious scientific fields such as engineering, biology, public The aims of this conference in biofluiddynamics health, geophysical sciences, and economics. include: Members of the Organizing Committee: Steven C. ( 1) to provide the mathematicians, engineers, phys Hillmer (University of Kansas) and Joseph H. Newton iologists, and biologists a forum to discuss problems (Texas A & M University). of mutual interest with the goal of leading to effective Note: We encourage recent Ph.D.'s, graduate students, collaboration on research projects, and women in multivariate time series analysis to attend (2) to point out the richness of the field from the this conference. fluid dynamicist's point of view, and (3) to point out that questions in fluid dynamics, Saturday, July 6 to Friday, July 12 suggested by the study of biological problems, have Stochastic inequalities not been tackled during all the vast development of MOSHE SHAKED (University of Arizona), Co-Chair knowledge in fluid dynamics aimed mainly at engineering Y.L. ToNG (Georgia Institute of Technology), Co-Chair applications. Example subjects of discussion are: Stochastic inequalities play an important role in External Flows: probability and statistics and are of use in many areas. High Reynolds number flows: This conference focuses on the recent developments in Flapping flight, wing optimization, locomotion of the theory and applications of stochastic inequalities large aquatic animals with special emphasis on the following topics: Movements of currents and their effects on plankton Convexity-related, majorization-related inequalities * Unsteady vortex flow, hovering flight and stochastic convexity, * Dependence-related probability and moment in Low Reynolds number flows: equalities, Microorganism locomotion, sperm motility * Optimal stopping-related and prophet inequalities, Particle capture (feeding) from low-speed laminar * Inequalities in multivariate distributions and mul flows tivariate analysis, Internal Flows: * Inequalities in reliability theory and queueing the High Reynolds number flows: ory, Flow through large blood vessels, arteries, and the * Applications in business and economics, con heart tingency table analysis, operations research, statistical Artificial heart calculations physics, and other related areas. Flow in urea, kidney and collapsible tubes It is expected that the conference will provide an Pulmonary fluids, instability of coughing opportunity for interactions among developers and users of stochastic inequalities from diverse areas. Low Reynolds number flows: Members of the Organizing Committee: J .H. B. Kem Microcirculation, flow in capillaries and arterios perman (Rutgers University), Albert W. Marshall (Uni Members of the Organizing Committee: S. Berger versity of British Columbia), and Frank Proschan (University of California, Berkeley), D. Kwak (NASA (Florida State University). Ames Research Center), and A. Mayo (IBM T.J. Watson Research Center). Saturday, July 6 to Friday, July 12 Biofluiddynamics Saturday, July 13 to Friday, July 19 A.Y. CHEER (University of California, Davis), Chair No conference scheduled C.P. VAN DAM (University of California, Davis), Saturday, July 20 to Friday, August 2 Co-Chair Motives Research in biofluiddynamics can be divided into STEVEN KLEIMAN (Massachusetts Institute of two major areas: external biofluiddynamics which is con Technology), Co-Chair cerned with animal flight and locomotion through the KARl VILONEN (Brandeis University), Co-Chair surrounding fluid media and internal biofluiddynamics The theory of motives was introduced in the middle which is mainly concerned with heat and mass transport 1960's by Grothendieck to explain the analogies among by fluid flow within biological systems such as plants and the various cohomology theories for algebraic varieties, animals. The fundamental goals of research in biofluid to play the role of the missing integral cohomology, and dynamics are not only to understand the mechanisms to provide a blueprint for proving Weil's conjectures used by these biological systems to locomote or transport about the zeta function of a variety over a finite field. internal fluids, but also to obtain an understanding of Remarkably, over the last ten years or so, researchers their evolution. in various fields- Hodge theory, algebraic K-theory, au- 1280 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Joint Summer Research Conferences tomorphic forms, L-functions, J-adic representations, The conference will be devoted to exploring and de trigonometric sums, and algebraic cycles- have discov veloping mathematical techniques relevant to the study ered that an enlarged (and in part conjectural) theory of classical fields. Although the main focus is on elu of "mixed" motives indicates and explains phenomena cidating the structure of classical field theories, related appearing in each field. Thus the theory has the potential topics with a "classical" basis, such as geometric theories of enriching each field and of unifying them all. of quantization, will also be discussed. Mathematical The purpose of the conference is to bring together aspects of relativity theory will be given particular em researchers from these diverse fields to discuss their phasis. work, discover common features through the theory of Topics to be covered during the conference include: motives, and reap the benefits. There will be about 1. CALCULUS of VARIATIONS forty invited one-hour lectures, most of them aimed at *higher order field theories the nonspecialist. The lectures will cover the following *multisymplectic structures areas, among others: (I) Grothendieck's "standard" con *exterior differential systems jectures, on which he based his theory of motives; (2) *symmetries the theory of motivic Galois groups and their represen 2. MATHEMATICAL STRUCTURE of CLASSICAL tations; (3) the theory of automorphic representations, FIELD THEORIES including the conjectures of Langlands; (4) the construc *classical BRST formalism tions of motives and motivic cohomology using absolute *geometric aspects of quantization Hodge cycles, algebraic K-theory, algebraic cycles, Grass *momentum mappings and their relation to anomalies mannians, and perverse sheaves; (5) the structure of and initial value constraints the categories of mixed motives and motivic sheaves, *Dirac theory of constraints of mixed 1-adic sheaves and mixed Hodge modules; 3. GLOBAL ANALYSIS and MATHEMATICAL REL ( 6) applications to special values of iterated integrals ATIVITY (for example, polylogarithms) and to the behavior of *initial value problem L-functions at integral points, including the conjectures *formation of singularities, cosmic censorship of Beilinson and Deligne. *new variables Members of the Organizing Committee: Alexander *asymptotics Beilinson (Moscow and Massashusetts Institute of Tech nology), Pierre Deligne (Institute for Advanced Study), Uwe Jannsen (MPI), Robert MacPherson (Massachusetts Saturday, July 27 to Friday, August 2 Institute of Technology) and Jean-Pierre Serre (College Systems of coupled oscillators de France). D.G. ARONSON (University of Minnesota, Minneapolis) Chair Saturday, July 20 to Friday, July 26 Systems of oscillators, both forced and coupled, arise Mathematical aspects of classical field theory in many areas of science and engineering and have attracted the attention of many mathematicians. Much MARK J. GOTAY (United States Naval Academy), of the literature is focused on forced oscillators since they Co-Chair are somewhat more amenable to mathematical analysis. JERROLD E. MARSDEN (University of California, However, there has been a great deal of recent progress Berkeley), Co-Chair on coupled systems, so that it seems highly appropriate VINCENT E. MONCRIEF (Yale University), Co-Chair to bring together some of the major contributors in an Classical field theory has undergone a renaissance attempt to take stock and map out directions for future during the past several years. Symplectic techniques research. have yielded deep insights into its foundations, e.g., the Specifically, the conference will focus on three main emerging role of momentum mappings and their relations areas: Theory (including recent work on small systems, to initial value constraints and the stratified structure systems equivariant with respect to some symmetry of solution spaces. A much improved understanding of group, and large systems close to continuum limit); the variational calculus has also been a contributing applications and experiments (including recent work factor. Further impetus for the study of classical field on central pattern generators, chemical oscillators, and theory comes from related areas. A case in point is Josephson junction circuits); numerical methods and BRST symmetry in quantum field theory, which is now tools (including symbolic calculation and various useful realized to have a classical counterpart. Progress has software packages such as AUTO, PhasePlane, and kaos). likewise been made recently in specific theories, such as Members of the Organizing Committee: E.J. Doedel relativity, where the full force of global analysis has been (Concordia University), G. B. Ermentrout (University of brought to bear with striking results. Pittsburgh) and Mark Roberts (University of Warwick). NOVEMBER 1990, VOLUME 37, NUMBER 9 1281 Mathematical Sciences stitute and State University, Blacksburg, VA. (May/Jun. 1990, p. 61 0) Meetings and Conferences 18-24. Komplexitiitstheorie, Oberwol fach, Federal Republic of Germany. (Apr. 1989, p. 498) 19-22. Huygens' Principle 1690-1990, Theory and Applications, Scheveningen, The Hague, The Netherlands. (May/Jun. 1990, p. 61 0) 21-23. Colloque Franco-Beige de Statis tique, Marseille, France. (Jul./ Aug. 1990, p. 740) 25-28. Mathematics and its Applications, THIS SECTION contains announcements of meetings and conferences of interest to University of Bahrain, State of Bahrain. some segment of the mathematical public, including ad hoc, local, or regional meetings, (May/ Jun. 1990, p. 61 0) and meetings or symposia devoted to specialized topics, as well as announcements 25-December I. Stochastische Approx of regularly scheduled meetings of national or international mathematical organizations. imation Und Optimierungsprobleme In (Information on meetings of the Society, and on meetings sponsored by the Society, will be found inside the front cover.) Der Statistik, Oberwolfach, Federal Re AN ANNOUNCEMENT will be published in Notices if it contains a call for papers, public of Germany. (Apr. 1989, p. 498) and specifies the place, date, subject (when applicable), and the speakers; a second 25-December I. Lineare Modelle und full announcement will be published only if there are changes or necessary additional Multivariate Statistische Verfahren, Ober information. Once an announcement has appeared, the event will be briefly noted in each wolfach, Federal Republic of Germany. issue until it has been held and a reference will be given in parentheses to the month, (Jul./ Aug. 1989, p. 769) year, and page of the issue in which the complete information appeared. Asterisks (*) mark those announcements containing new or revised information. 26-30. Seminaire Sud-Rhodanien de Ge IN GENERAL, announcements of meetings and conferences held in North America carry ometrie Differentielle, Marseille, France. only date, title of meeting, place of meeting, names of speakers (or sometimes a general (Jul./Aug. 1990, p. 741) statement on the program), deadlines for abstracts or contributed papers, and source of further information. Meetings held outside the North American area may carry more detailed information. In any case, if there is any application deadline with respect to December 1990 participation in the meeting, this fact should be noted. All communications on meetings and conferences in the mathematical sciences should be sent to the Editor of Notices, December 1990. Structural Complexity care of the American Mathematical Society in Providence. and Cryptography, Rutgers University, DEADLINES for entries in this section are listed on the inside front cover of each issue. In New Brunswick, NJ. (Oct. 1990, p. 1135) 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 2-8. Multigrid Methods, Oberwolfach, one issue of Notices prior to the meeting in question. To achieve this, listings should be Federal Republic of Germany. (Apr. received in Providence SIX MONTHS prior to the scheduled date of the meeting. 1989, p. 498) EFFECTIVE with the 1990 volume of Notices, the complete list of Mathematical Sciences 3-5. First International Symposium on Meetings and Conferences will be published only in the September issue. In all other Uncertainty and Analysis: Fuzzy Reason issues, only meetings and conferences for the twelve-month period following the month ing, Probabilistic Methods and Risk Man of that issue will appear. As new information is received for meetings and conferences agement, College Park, Maryland. (Oct. that will occur later than the twelve-month period, it will be announced at the end of the 1989, p. I 098) listing in the next possible issue. That information will not be repeated until the date of the meeting or conference falls within the twelve-month period. 3-7. Sixteenth Australasian Conference on Combinatorial Mathematics and Com binatorial Computing, Palmerston North, I 990. IMACS International Workshop rithms in Image Analysis, Rome, Italy. New Zealand. (Feb. 1990, p. 226) on Massively Parallel Methods in Com (Apr. 1990, p. 491) 3-7. SINO-JAPANESE Joint Seminar putational Physics, Boulder, Colorado. 1990-1991. Academic Year Devoted to on Nonlinear PDEs with Emphasis on (Sep. 1989, p. 914) Operator Theory and Complex Analysis, Reaction-Diffusion Aspects., Taipei, Tai 1990. IMACS Conference on Computer Mittag-Leffler Institute, Djursholm, Swe wan. (Jan. 1990, p. 61) Aided Design, Yugoslavia. (Sep. 1989, den. (Dec. 1989, p. 1432) 3-7. Workshop on General Group Repre p. 914) sentation Theory, Mathematical Sciences 1990. CWI-IMACS Symposia on Parallel Research Institute, Berkeley, CA. (Jan. 1990, p. 61) Scientific Computing, Amsterdam, The November 1990 Netherlands. (Feb. 1990, p. 216) 9-11. Canadian Mathematical Society 1990. Concentration Year on Stochastic 16-17. Tenth Annual Southeastern- Winter Meeting, University of Waterloo, Models, Statistical Methods, and Algo- Atlantic Regional Conference on Differ Ontario. (Sep. 1990, p. 933) ential Equations, Virginia Polytechnic In- 9-14. International Conference on Math- 1282 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Meetings and Conferences ematical Theory of Control, l.l.T. Bom 7-I 0. Sixth Caribbean Conference in 4-8. Winter School on Infinite Dimen bay. (Sep. 1990, p. 933) Combinatorics and Computing, Univer sional Differential Geometry, Wien, Aus 9-15. Allgemeine Ungleichungen, Ober sity of the West Indies, St. Augustine, tria. (Sep. 1990, p. 934) wolfach, Federal Republic of Germany. Trinidad. (Jan. 1990, p. 61) I 0-16. Endlichdimensionale Lie-Algebren, (Apr. 1989, p. 498) 7-11. NATO Advanced Research Work Oberwolfach, Federal Republic of Ger 11-12. Integral Valued Polynomials En shop on Asymptotics Beyond All Orders, many. (Apr. 1990, p. 499) counter, CIRM, Marseille, France. La Jolla, CA. (Oct. 1990, p. 1136) I 0-16. Affine Differentialgeometrie, Ober (Jul./Aug. 1990, p. 741) I 3-19. Combinatorical Optimization, wolfach, Federal Republic of Germany. 11-13. Third Joint IFSA-EC and EURO Oberwolfach, Federal Republic of Ger (Apr. 1990, p. 499) WG Workshop on Fuzzy Sets, Visegnid, many. (Apr. 1990, p. 499) 11-15. The Twenty-Second Southeast Hungary. (May I Jun. 1990, p. 611) 14-15. AMS Short Course on "Prob ern International Conference on Combi I 5-l 9. Curves and Surfaces: An Algorith abilistic Combinatorics and its Applica natorics, Graph Theory and Computing, mic Viewpoint, Kent State Univ., Kent, tions", San Francisco, CA. Louisiana State University, Baton Rouge, LA. (Oct. 1990, p. 1136) OH. (Apr. 1990, p. 499) INFORMATION: D. Plante, AMS, P.O. Insbesondere Com 16-22. Mathematische Logik, Oberwol Box 6248, Providence, RI 02940. 17-23. Experimentelle, fach, Federal Republic of Germany. (Apr. putergraphische Methoden in der Mathe 1989, p. 498) I 6-19. Joint Mathematics Meetings, matik, Oberwolfach, Federal Republic of San Francisco, CA. (including the an Germany. (Jul./ Aug. 1990, p. 742) 17-21. Non-linear Dispersive Wave Sys nual meetings of the AMS, AWM, MAA, tems, Univ. of Central Florida, Orlando, * 17-23. Krein Spaces and Applications NAM) FL. (Apr. 1990, p. 499) and to Differential Operators, Oberwolfach, Federal Republic of Germany. (Please I 7-21. International Conference on The INFORMATION: H. Daly, AMS, P.O. note additional information from Jul./ ory of Differential Equations and Applica Box 6887, Providence, RI 02940. Aug. 1990, p. 742) tions to Oceanography, Goa University, Informal Workshop on the Teaching Bamboli, St. Cruz, India. (Sep. 1990, * 20. PLENARY LECTURES: M. Anliker, ETH of Calculus, San Francisco, CA. (Please p. 933) Zurich (Macro- and microskopic bio note change from Sep. 1990, p. 933) 25-January I. Lineare Modelle Und Mul medical research); H. Bandemer, Berg tivariate Statistische Verfahren, Oberwol INFORMATION: G. Strange, Room 2- akademie Freiberg (Unscharfe Date fach, Federal Republic of Germany. (Apr. 240, Massachusetts Institute of Tech nanalyse); F. Goerisch, TU Clausthal 1989, p. 498) nology, Cambridge, MA 02139. ( Parameterabhangige Eigenwertauf 27-31. Holiday Symposium on Recent gaben in den Natur und lngenieurwis 20-26. Spektraltheorie Singularer Ge und Developments in Homotopy Theory, New senschaften: Ausweichphanomene wiihnlicher Differentialoperatoren, Ober H. Lipp Mexico State Univ., Las Cruces, NM. Einschliebungsmethoden); wolfach, Federal Republic of Germany. (Advances in (Jul./Aug. 1990, p. 741) mann, TU Miinchen (Apr. 1990, p. 499) the theory of translatory coal out * 21-25. IMA Workshop on Statistical bursts); 0. Olejnik, MGU Moscow Thermodynamics and Differential Geom (Mathematical problems in elastic I 991. IMACS Symposium on Parallel etry of Microstructured Material, U ni ity); P. Perzyna, IPPT-PAN War and Distributed Computing in Engineer versity of Minnesota, Minneapolis, MN. saw (Fracture phenomena in dynamic ing Systems, Athens, Greece. (Jul./ Aug. (Please note changes from Sep. 1990, loading processes); I. Ryhming, Ecole 1990, p. 741) p. 933) Polytechnique Lausanne (Numerical simulation of the flow in water tur Spring 1991. IMACS International Sym SPONSORs: This workshop is spon bines); E. Stein, Univ. Hannover (FE posium on Iterative Methods in Linear sored jointly with the Center for In Methods in nonlinear structures me Algebra, Brussels Free Univ., Brussels, terfacial Engineering. Belgium. (Mar. 1990, p. 334) chanics); J. Wittenburg, Univ. Karls 27-February 2. Harmonische Analyse ruhe (Theoretische und angewandte und Darstellungstheorie Topologischer mehrkorpermechanik); J. Zabczyk, IM Gruppen, Oberwolfach, Federal Repub PAN Warsaw (On minimum energy January 1991 lic of Germany. (Apr. 1990, p. 499) problems); F. Ziegler, TU Wien (De January 1991. Circuit and Communica 28-30. Second ACM-SIAM Symposium velopments in structural dynamic vis tion Complexity, Rutgers University, New on Discrete Algorithms, San Francisco, coplasticity including ductale dam Brunswick, NJ. (Oct. 1990, p. 1136) CA. (Jul./Aug. 1990, p. 741) age); H. Zorski, IPPT-PAN Warsaw (Dipole dynamics: Discrete and con 6-12. Automorphe Formen und Anwen tinuous distribution). The Ludwig dungen, Oberwolfach, Federal Republic Prandtl-Memorial Lecture will be given of Germany. (Apr. 1990, p. 499) February 1991 by Dr.-Ing. E. h. Julius C. Rotta, 7-9. SIAM Workshop on Automatic Dif DLR Gottingen on Aspekte turbulen 3-9. Konstruktive Methoden in der Kom ferentiation of Algorithms: Theory, Imple ter Grenzschichten. Analysis, Oberwolfach, Federal mentation, and Application, Breckenridge, plexen MINISYMPOSIA: Three topics: Applied CO. (Jul./ Aug. 1990, p. 741) Republic of Germany. (Apr. 1990, p. 499) NOVEMBER 1990, VOLUME 37, NUMBER 9 1283 Meetings and Conferences analysis, optimization of structures, PROGRAM: The area of concentration gen, Oberwolfach, Federal Republic of and exact numerical algorithms for will be the recovery of unknown coef Germany. (Apr. 1990, p. 500) differential and integral equations. ficients in differential equations with 25-27. Fifth SIAM Conference on Par CALL FOR PAPERs: The length of the a particular emphasis on constructive allel Processing for Scientific Computing, manuscript must not exceed five pages methods. Topics will include inverse Houston, TX. (Jul./ Aug. 1990, p. 742) in standard, double-spaced typing for spectral problems, inverse scattering 25-28. International Conference on Math the short lectures. Deadline: April 22, problems, impedance tomography. ematical Linguistics - ICML '91, Barce 1991. INFORMATION: M. Pilant or W. Run lona, Spain. (Jul./ Aug. 1990, p. 742) INFORMATION: GAMM-Congress 1991, dell, Dept. of Math., Texas A&M 31-April 6. Arbeitsgemeinschaft mit Ak G. Szefer, lnst. of Structures Me Univ., College Station, Texas 77843- tuellum Thema, Oberwolfach, Federal Re chanics, Cracow Univ. of Techn., ul. 3368; email: [email protected] public of Germany. (Apr. 1990, p. 500) Warszawska 24, PL-31-155 Krakow; or [email protected]. tel: 33-84-51; Teletex: 322 468 pk pl; Telefax: 4812/335 773. I 0-16. Mathematische Stochastik, Ober wolfach, Federal Republic of Germany. April1991 18-23. Ninth International Seminar on (Apr. 1990, p. 500) 1-4. Eighth International Conference on Model Optimization in Exploration Geo 11-15. NSF-CBMS Regional Research Mathematical and Computer Modeling, physics, with a Workshop on Geophysical Conference on Nonlinear Dispersive Wave University of Maryland, College Park, Data Inversion in Archeological Site In Systems, University of Central Florida, MD. (Oct. 1990, p. 1137) vestigation, Berlin, Free University of Orlando, FL. (Jul/Aug. 1990, p. 742) 2-4. IMACS International Symposium Berlin, Mathematical Geophysics Group 11-15. IMA Workshop on Free Bound on Iterative Methods in Linear Alge and Archeological Institute. (Oct. 1990, aries in Viscous Flows, University of Min bra, Brussels Free Universities, Belgium. p. 1136) nesota, Minneapolis, MN. (Sep. 1990, (MayjJun. 1990, p. 612) 24-March 2. Medical Statistics: Statisti p. 934) 7-13. Algebraische Gruppen, Oberwol cal Models for Longitudinal Data, Ober 13-15. IMACS Workshop on Decision fach, Federal Republic of Germany. (Apr. wolfach, Federal Republic of Germany. Support Systems and Qualitative Reason 1990, p. 500) (Apr. 1990, p. 500) ing, LAAS-Toulouse, France. (MayjJun. 8-12. Seventh International Conference 25-March I. IEEE Computer Society 1990, p. 612) on Data Engineering, Kobe, Japan. (Apr. COMPCON Spring '91, San Francisco, 13-16. Twenty-Second Annual Iranian 1990, p. 500) CA. (Jan. 1990, p. 62) Mathematics Conference, Ferdowsi Uni 8-12. NASECODE VII, The Seventh versity of Mashhad, Iran. (Sep. 1990, International Conference on the Numer p. 934) ical Analysis of Semiconductor Devices March 1991 14-16. Sixth S.E.A. Meeting, South and Integrated Circuits, Copper Moun March 1991. Computational Number eastern Approximation Theorists Annual tain, Colorado. (May/Jun. 1990, p. 612) Theory, Rutgers University, New Bruns Meeting, Memphis State Univ., Mem I 0-12. Fourth International Conference wick, NJ. (Oct. 1990, p. 1136) phis, TN. (Sep. 1990, p. 934) on Rewriting Techniques and Applications 3-9. Partielle Differentialgleichungen, 16-17. Central Section, Indiana Univer (RTA-91), Como, Italy. (Jul./ Aug. 1990, Oberwolfach, Federal Republic of Ger sity, South Bend, IN. p. 743) many. (Apr. 1990, p. 500) INFORMATION: W. Drady, American 11-13. Twenty-Fifth Annual Spring Topol 4-15. Workshop on Mathematical Physics Mathematical Society, P.O. Box 6887, ogy Conference, California State Uni and Geometry, Trieste, Italy. (Sep. 1990, Providence, RI 02940. versity, Sacramento, CA. (Oct. 1990, p. 934) p. 1137) 17-23. Elementare und Analytische 5-7. Association for Computing Machin 11-16. Assessment in Mathematics Ed Zahlentheorie, Oberwolfach, Federal ery 1991 Computer Science Conference, ucation and Its Effects, Calonge (Costa Republic of Germany. (Apr. 1990, p. 500) San Antonio Convention Center, San An Brava), Spain. (Sep. 1990, p. 935) tonio, TX. (MayjJun. 1990, p. 611) 17-24. Sixth International Conference 14-20. Brauer Groups and Represen on Geometry, University of Haifa, Israel. 7-8. Twenty-second ACM SIGCSE Tech tation Theory of Finite Groups, Ober (MayjJun. 1990, p. 612) nical Symposium on Education in the wolfach, Federal Republic of Germany. Computing Sciences, San Antonio, TX. 22-23. Southeastern Section, University (Apr. 1990, p. 500) (MayjJun. 1990, p.612) of South Florida, Tampa, FL. 15-19. IMA Workshop on Variational 7-10. International Conference on Differ INFORMATION: W. Drady, American Problems, University of Minnesota, Min ential Equations, Cadi Ayyad University, Mathematical Society, P.O. Box 6887, neapolis, MN. (Sep. 1990, p. 935) Marrakech, Morocco. (May I Jun. I 990, Providence, Rl 02940. 18-20. Determinantal Ideals and Repre p.612) sentation Theory, University of Arkansas, 22-24. Fifth SIAM Conference on Par * I 0-14. International Conference on In Fayetteville, Arkansas. (Sep. 1990, p. 935) allel Processing for Scientific Computing, verse Problems: Computational Algorithms, * 21-24. SUPER!: Supercomputing by Houston, TX. (Mar. 1990, p. 334) Texas A&M University, College Station, University People for Education and Re TX. 24-30. Gewohnliche Differentialgleichun- search, Park City, UT. 1284 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Meetings and Conferences PROGRAM: SUPER! is a higher edu learning theory, and a cooperative zamy (I.C.M., Paris), P. Enflo (Kent cation user group dedicated to issues learning environment to help students State Univ.). of high-performance computing on learn calculus concepts. A three-day INVITED SPEAKERS: B. Beauzamy IBM systems. SUPER!'s annual meet pre-workshop tutorial on the basic (I.C.M., Paris), P. Enflo (K.S.U.), ing will consist of presentations and use of the necessary computer sys H.L. Montgomery (Ann Arbor, MI), discussions on a wide variety of re tems will be offered as an option. L. Tzafriri (Jerusalem), R. Varga lated topics, including novel uses, user Participants are expected to return (K.S.U.), P. Wang (K.S.U.), A. Yger needs, product directions, training the following summer for two days (Bordeaux), H. Zassenhaus (O.S.U.). and support, international exchange, to discuss their teaching experiences INFORMATION: Institut de Calcul Math. networks, visualization, performance, based on the workshop. The program (I.C.M.), Univ. de Paris 7, 2 Place algorithms and program conversion. will provide hands-on experience with Jussieu, 75251 Paris Cedex 05- France. INFORMATION: J. Facelli or D.-A. computer software (both MS DOS 5-11. Darstellungstheorie Endlich Raynor, Utah Supercomputing Insti and Macintosh), class materials, and Dimensionaler Algebren, Oberwolfach, tute, 3330 MEB, The University of seminars on learning theory, includ Federal Republic of Germany. (Jul./ Aug. Utah, Salt Lake City, UT 84112; 801- ing viewing and discussing videos of 1990, p. 743) 581-5253; FAX: 80 1-581-8692; email: Purdue classroom and laboratory ex [email protected]. periences in cooperative learning. The 6-8. Fifth SIAM International Sympo program will feature the use of the sium on Domain Decomposition Methods 21-27. Numerical Linear Algebra, Ober mathematical programming language for Partial Differential Equations, Nor wolfach, Federal Republic of Germany. ISETL and its graphics package, in folk, VA. (Jul./Aug. 1990, p. 743) (Jul./ Aug. 1990, p. 743) addition to the symbolic computer 7-10. IMACS Symposium on Mod 23-26. Mathematical and Numerical systems Maple and Derive. Partici elling and Simulation of Control Sys Aspects of Wave Propagation Phenom pants will be encouraged to consider tems, Casablanca, Morocco. (Mar. 1990, ena, Strasbourg, France. (Jul./ Aug. 1990, piloting the Calculus course presented p. 334) p. 743) in the workshop during A Y 1991-92. 7-14. Singapore Number Theory Work 26-28. Similarity Solutions of Differen INFORMATION: E. Dubinsky or K. shop, National Univ. of Singapore, Kent tial Equations, University of Pittsburgh, Schwingendorf, Dept. of Math., Pur Ridge, Singapore. (Jul./ Aug. 1990, p. 743) PA. (Oct. 1990, p. 1137) due Univ., West Lafayette, IN 47907; * 9-11. A Conference on History, Geom 28-May 4. Deductive Systems, Ober email: [email protected] or etry, and Pedagogy in honor of the 80th wolfach, Federal Republic of Germany. [email protected]. Completed ap birthday of Howard Eves, University of 1991. (Apr. 1990, p. 50 I) plications due by February 15, Central Florida, Orlando, FL. Partial support for attending the work * 29-May 2. Joint U.S.-French Workshop shop will be available. INVITED SPEAKERS: C. Dodge, P. Hil on Applied Stochastic Analysis, Rutgers ton, M. Klamkin, B. Meserve, F. University, New Brunswick, NJ. May j June 1991. IMACS Workshop on Rickey, M. Senechal and H. Eves. CONFERENCE TOPICS: Singular stochas Decision Support Systems and Qualita CALL FOR PAPERS: There will be paral tic control, queueing networks, stochas tive Reasoning, Toulouse, France. (Mar. lel sessions for 25-minute contributed tic optimization and filtering, adap I 990, p. 334) papers in the history of mathematics, tive control, estimation for random 2-3. Twenty-Second Annual Pittsburgh in geometry, and in mathematics ed fields. Conference on Modeling and Simulation, ucation. There will also be 50-minute INVITED SPEAKERS: R. Azencott (Ple University of Pittsburgh, PA. (Sep. 1990, workshops in mathematics education nary), A. Bensoussan, M. Harrison, P. p. 935) intended to give secondary school Kumar, P.L. Lions, E. Pardoux, J.M. * 2-4. International Conference on Polyno teachers ideas they can use in the Steele. mials with concentration at low degrees: classroom. Send an abstract of the INFORMATION: D. Ocone or I. Karatzas, From Analysis and Number Theory to talk or workshop to the address be Math. Dept., Rutgers Univ., New Computer Science and Symbolic Compu low. Abstracts must be received by Brunswick. NJ 08903; email: tation, Paris, France. March I, I 991. Abstracts should be [email protected]; FAX: 201- one paragraph summaries of the paper Concentration at low de 932-5530. PROGRAM: or workshop that are approximately grees for polynomials is a concept I 00 words long. which allows quantitative estimates, INFORMATION: J. Anthony, Dept. of May 1991 independent of the degree. Existing Math., Univ. of Central Florida, Or applications include: Functional anal lando, FL 32816-6990; 407-823-2700; on *May/June 1991. Summer Workshop ysis, harmonic analysis, numerical FAX 407-281-5156. Calculus, Computer, Concepts, and Co analysis, number theory, symbolic com operative Learning, Purdue University, putation with computer implementa 12-18. Nichtlineare Evolutionsgleichun West Lafayette, IN. tion. The aim of the conference is gen, Oberwolfach, Federal Republic of bring together specialists of these Germany. (Apr. 1990, p. 50 I) PROGRAM: The two-week, intensive, to fields, and discuss their links. total-immersion program will focus various 13-1 7. Conference in Harmonic Anal COMMITTEE: B. Beau on the use of computers, research into ORGANIZING ysis in Honor of E.M. Stein, Princeton NOVEMBER 1990, VOLUME 37, NUMBER 9 1285 Meetings and Conferences University, Princeton, NJ. (Mar. 1990, 3-7. 1991 Annual Meeting of the Statisti 20-30 minutes duration. Titles and p. 334) cal Society of Canada, Toronto, Ontario, abstracts of papers should be received 13-18. IMA Workshop on Degener Canada. (Mar. 1990, p. 334 by May I, I 991. IN FORMA noN: M. Mathieu, Mathe ate Diffusions, University of Minnesota, * 3-8. International Singularity Confer- matisches Institut, Univ. Ttibingen, Minneapolis, MN. (Sep. 1990, p. 935) ence, Lille, France. 15-1 7. Third IEEE Conference on Com Auf der Morgenstelle I 0, D-7 400 puter Workstations: Accomplishments and PROGRAM: This conference will cover Ttibingen, F.R.G.; email: mimaOOl@ Challenges, Falmouth (Cape Cod), MA. singularities in algebraic topology, ge convex.zdv. un i-tuebingen.de. (Sep. 1990, p. 936) ometry and algebraic geometry. There will be general lectures on the subject 9-14. Second International Conference 17-20. Conference/Workshop on Con and a program of shorter talks. on Fixed Point Theory and Applications, tinuum Theory and Dynamical Systems, INFORMATION: Congres Singularites Dalhousie University, Halifax, Nova Sco University of Southwestern Louisianna, Mathematiques, USTL, 59655 Vil tia, Canada. (Oct. 1990, p. 1138) Lafayette, LA. (Sep. 1990, p. 936) leneuve d'Ascq Cedcx (France); email: 9-15. Singuliire Storungsrechnung, Ober 19-25. Differentialgeometrie im Grossen, [email protected]. wolfach, Federal Republic of Germany. Oberwolfach, Federal Republic of Ger ORGANIZERs: J.P. Brasselet and D. (Apr. 1990, p. 50 I) many. (Apr. I 990, p. 50 I ) Lehmann. I 0-14. Bernoulli Society Twentieth Con 20-24. Eleventh International Confer ference on Stochastic Processes and their ence on Distributed Computing Systems, * 3-13. Fifth International Workshop in Applications, Nahariya, Israel. (Nov. 1989, Arlington, TX. (Sep. 1990, p. 936) Analysis and its Applications, Kupari p. 1254) 22-24. Second International Conference Dubrovnik, Yugoslavia. 13-15. Western Sectional Meeting, Port on Algebraic Methodology and Software ORGANIZING CoMMITTEE: A.R. Blass, land State University, Portland, Oregon. Technology, (AMAST), Iowa City, lA. Univ. of Michigan, Ann Arbor; A. (Apr. 1990, p. 50 I) INFORMATION: W. Drady, American Keschris, California Institute of Tech Mathematical Society, P.O. Box 6887, 26-31. Signal Theory and Image Process nology; C.V. Stanojcvic, Univ. of Providence, RI 02940. ing, Cetraro, Italy. (Sep. 1990, p. 936) Missouri-Rolla; G. Takeuti, Univ. of 26-June I. Optimalsteuerung und Varia Illinois; A. Tclyakovskii, Steklov Math 14-1 7. Symposium on Lattice Theory tionsrechnung-Optimal Control, Ober ematical Institute-Moscow. and its Applications, in Honor of the wolfach, Federal Republic of Germany. CALL FOR PAPERS: Send abstracts to 80th Birthday of Garrett Birkhoff, Darm (Apr. 1990, p. 50 I) A.R. Blass, Dept. of Math., Univ. stadt, Federal Republic of Germany. 29-June I. Eighth Biennial Confer of Michigan, 3220 Angel Hall, Ann (Oct. 1990, p. 1138) ence of the Association of Christians Arbor, MI 48109-1003. Deadline for * 16-19. Bar-Ilan Symposium on the Foun in the Mathematical Sciences, Wheaton abstracts: January I, 1991. dations of Artificial Intelligence, Ramat College, Wheaton, IL. (Jul./ Aug. 1990, INFORMATION: C. V. Stanojevic, Inter Gan, Israel. national Workshop in Analysis and p. 743) PROGRAM: The symposium is inter its Applications, Dubrovnik-Kupari, 29-June I. Methods in Module The national in scope, with invited lec Yugoslavia. ory, University of Colorado, Colorado tures by leading researchers and con Springs, CO. (Sep. 1990, p. 936) tributed papers on foundations of * 9-12. International Workshop on Ele 30-31. Special Session on Polymer Con AI. This biennial event focuses on * mentary Operators and Applications, Hein figurations: Nonlinear and Nonlocal Diffu a range of topics of concern to schol rich Fabri-Institut der Univcrsitiit sion Problems, University of Minnesota, ars applying quantitative, combinato Ttibingen, BlaubeurenjUim, Federal Re Minneapolis, MN. (Please note changes rial, logical, algebraic and algorith public of Germany. in date and program from Sep. 1990, mic methods to AI areas as diverse p. 937) CONFERENCE TOPICS: General theory as decision support, automatic rea PROGRAM: This special session will of elementary operators on rings, Ba soning, knowledge-based systems, ma constitute the first two days (and the nach algebras, and operator algebras; chine learning, computational linguis more mathematical part) of Tethered connections to related fields such as tics, computer vision, and robotics. Chains I: A Symposium on the Sci operator equations, multiparameter INVITED LECTURES: H. Berliner (Car ence of Polymeric Surfactants, May spectral theory, derivations and auto negie Mellon), New perspectives on 30-June 3, 1991. May 30-31 will be morphisms, completely bounded op search; E. David (Courant), Actions held at the Univ. of Minnesota and erators, as well as applications to, e.g., and continuous time; M. Golumbic June 1-3 will be held in northern Hilbert space operators, operator con (IBM Israel and Bar-IIan), Mathemat Minnesota. vex functions, differential equations, ics in artificial intelligence; S. Peters mathematical physics. (Stanford), Computationally relevant June 1991 INVITED SPEAKERS: R.E. Curto, L.A. properties of linguistic systems. 2-8. Diskrete Geometrie, Oberwolfach, Fialkow. CALL FOR PAPERS: Submissions of Federal Republic of Germany. (Apr. CALL FOR PAPERS: Time will be a) extended abstracts of 4-1 0 pages or 1990, p. 50 I ) Joted for contributed talks of about full papers must arrive by I March 1286 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Meetings and Conferences 1991 and should be sent in triplicate 30-July 6. Elliptische Operatoren auf and Engineering Systems, Swansea, UK. to: (For General sessions), M. Kop Singularen und Nichtkompakten Man (Mar. 1990, p. 334) pel, Dept. of Math. and Comp. Sci., nigfaltigkeiten, Oberwolfach, Federal Re 15-18. Sixth Annual IEEE Symposium Bar-IIan Univ., Ramat Gan, Israel; public of Germany. (Apr. 1990, p. 50 I) on Logic in Computer Science, Ams email: [email protected]; or (For terdam, The Netherlands. (Sep. 1990, Special track on theoretical issues in p. 937) NLP), Inst. of Math. and Comp. Sci., July 1991 21-27. Halbgruppentheorie, Oberwol The Hebrew Univ., Ross Building, fach, Federal Republic of Germany. Giv' at Ram, Jerusalem, Israel; email: 1-5. The Mathematics of Nonlinear Sys (Jul./Aug. 1990, p. 744) [email protected]. tems. University of Bath, United King 22-26. Thirteenth IMACS World Con A. Frank, BISFAI-91 INFORMATION: dom. (Oct. 1990, p. 1138) gress on Computation and Applied Math Organizing Chair, Dept. of Math. and 2-5. European Control Conference, Greno ematics, Trinity College, Dublin Univer Sci., Bar-IIan Univ., Ramat Comp. ble, France. (Jul./Aug. 1990, p. 744) sity, Dublin, Ireland. (Apr. 1990, p. 502) Gan, Israel; email: [email protected]. * 4-1 I. International Conference on Alge- * 28-August 2. Conference on Symbolic 17-21. 1991 International Symposium braic Topology, Oaxtepec, Mexico. Dynamics and its Applications, Yale Uni on the Mathematical Theory of Networks PROGRAM: Both invited lectures and versity, New Haven, CT. (Please note and Systems (MTNS-91 ), International contributed talks, with emphasis on date change from Oct. 1990, p. 1138) Center Kobe, Kobe, Japan. Conference homotopy theory. Banquet in honor PURPOSE: The purpose of the confer p. 1254) (Nov. 1989, of Mark Mahowald's 60th birthday. ence is to honor Dr. Roy L. Adler for I 7-21. European Conference on Elliptic Viewing of total solar eclipse. his many contributions to the subject. and Parabolic Problems, Pont a Mousson, INFORMATION: P. Shick, Math. Dept., France. (May/ Jun. 1990, p. 613) John Carroll Univ., University Heights, 28-August 3. Gruppen und Geometrien, 23-29. Mathematische Methoden des OH 44118; [email protected]. Oberwolfach, Federal Republic of Ger VLSI-Entwurfs und des Distributed Com many. (Apr. 1990, p. 502) * 7-12. Fifth Gregynog Symposium on Dif puting, Oberwolfach, Federal Republic of ferential Equations, University of Wales, Germany. (Jul./Aug. 1990, p. 744) UK. 26-28. Third IMACS International Sym August 1991 The symposium is fi posium on Computational Acoustics, Har INFORMATION: 3-7. lnteramerican Conference on Math nanced by the Science and Engineer vard University, Cambridge, MA. ematics Education, U niv. of Miami, Coral ing Research Council and participa (Jul./ Aug. 1990, p. 744) Gables, FL. (Apr. 1990, p. 502) tion is by invitation. Contact N.G. * 30-July 3. Sixth Annual Conference on Oberwol Lloyd, Dept. of Math., The Univer 4-10. Efliziente Algorithmen, Structure in Complexity Theory, Univer fach, Federal Republic of Germany. sity of Chicago, Chicago, IL. sity College of Wales, Aberystwyth, Dyfed, SY23 3BZ, UK. (Jul./Aug. 1990, p. 744) PROGRAM COMMITTEE: J. Balcazar, 5-8. ICMI-China Regional Conference A. Borodin, W. Gasarch, N. Immer 7-13. Computational Number Theory, on Mathematics Education, Beijing, China. man, C. Papadimitriou, W. Ruzzo, P. Oberwolfach, Federal Republic of Ger (Jul./Aug. 1990, p. 744) Vitanyi, C. Wilson. many. (Jul./Aug. 1990, p. 744) 5-9. Fourteenth International Symposium CONFERENCE TOPICS: All areas of 8-12. Second International Conference on Mathematical Programming, Amster computational complexity theory, in on Industrial and Applied Mathematics, dam, The Netherlands. (Jul./ Aug. 1990, cluding: Structure of complexity Washington, DC. (Apr. 1990, p. 50 I) p. 745) classes, relativizations, independence 8-12. NATO Advanced Research Work 8-11. Joint Mathematics Meetings, Uni results, applications of recursion the shop: Approximation by Solutions of Par versity of Maine, Orono, ME. (including ory and of finite model theory, ran tial Differential Equations, Quadrature the summer meetings of the AMS, AWM, dom and interactive proof systems, Formulae, and Related Topics, Hanstholm, MAA, and PME) cryptographic complexity, parallel Denmark. (Oct. 1990, p. 1139) INFORMATION: H. Daly, AMS, P.O. complexity classes, and circuit com Annual Conference 8-12. Thirty-Fifth Box 6887, Providence, RI 02940. plexity. of the Australian Mathematical Soci CALL FOR PAPERs: Send I 0 copies ety, Melbourne, Australia. (Oct. 1990, Il-l 7. European Young Statisticians of an extended abstract or a full pa p. 1139) Meeting, Oberwolfach, Federal Repub per to the program chair: N. Immer 8-14. ICOR '91 International Conference lic of Germany. (Jul./ Aug. 1990, p. 745) man, Dept. of Computer & Inf. Sci., on Radicals, Szekszard, Hungary. (Apr. Univ. of Massachusetts, Amherst, MA 14-16. Short Conference on Uniform 1990, p. 502) 01003. Deadline: January 23, 1991. Mathematics and Applications (Interna INFORMATION: J. Royer, School of 14-20. Dynamische Systeme, Oberwol tional Conference on Quasi-Uniformities Computer & Inf. Sci., Syracuse Univ., fach, Federal Republic of Germany. (Apr. and Related Structures), Bern, Switzer Syracuse, NY 13244; email: struc 1990, p. 502) land. (Sep. 1990, p. 937) [email protected]. 15-17. Fifth IFACfiMACS Symposium 18-24. The Navier-Stokes Equations: on Computer Aided Design in Control Theory and Numerical Methods, Ober- NOVEMBER 1990, VOLUME 37, NUMBER 9 1287 Meetings and Conferences wolfach, Federal Republic of Germany. Germany. (Jul./ Aug. 1990, p. 746) (Jul./ Aug. 1990, p. 745) September 1991 23-29. Sixth Symposium on Classical 18-24. The Third Conference of the Analysis, Kazimierz Dolny, Poland. (Apr. Canadian Number Theory Association, 1-7. Topologie, Oberwolfach, Federal 1990, p. 502) Queen's University, Kingston, Ontario. Republic of Germany. (Jul./ Aug. 1990, 24-27. International Conference on The (Sep. 1990, p. 938) p. 745) oretical Aspects of Computer Software, IS-September 4. Twenty-first Summer 4-10. IMA Tutorial, University of Min Tohoku Univ., Sendai, Japan. (Sep. 1990, Ecole de Calcul des Probabilites, Saint nesota, Minneapolis, MN. (Oct. 1990, p. 938) Flour, France. (Jul./ Aug. 1990, p. 745) p. 1139) 25-27. Ninth GAMM Conference on 19-22. 1991 Joint Statistical Meetings, 7-9. International Workshop on Software Numerical Methods in Fluid Mechanics, Atlanta, GA. (Mar. 1988, p. 466) for Automatic Control Systems, Irkutsk, Lausanne, Switzerland. (May j Jun. 1990, 1990, p. 1139) 19-September 6. College on Singularity USSR. (Oct. p. 613) Theory, Trieste, Italy. (Sep. 1990, p. 938) 8-14. Niedrigidimensionale Topologie, 29-0ctober 5. Kombinatorik Geordneter Oberwolfach, Federal Republic of Ger * 21-23. Thirteenth Boundary Element Mengen, Oberwolfach, Federal Republic Aug. 1990, p. 745) Method International Conference, Tulsa, many. (Jul./ of Germany. (Jul./ Aug. 1990, p. 746) OK. 8-14. Knoten und Verschlingungen, Ober wolfach, Federal Republic of Germany. SPONSORs: Computational Mechanics (Jul./ Aug. 1990, p. 745) October 1991 Institute and Oklahoma State Univer 9-27. School on Dynamical Systems, sity. 6-12. Arbeitsgemeinschaft mit Aktuellem Trieste, Italy. (Sep. 1990, p. 938) CALL FOR PAPERs: Deadline for Ab Thema (wird in den Mitteilungen der stracts: December 18, 1990; Papers 10-13. IFAC/IMACS Symposium on DMV Heft 3/1991 bekanntgegeben), Ober are requested in any topics of di Fault Detection, Supervision and Safety wolfach, Federal Republic of Germany. rect relevance to Boundary Element for Technical Processes-SAFEPROCESS (Jul./ Aug. 1990, p. 746) Research. '91, Baden-Baden, Federal Republic of 7-11. Workshop on Stochastic and De INFORMATION: S. Gipson, School of Germany. (Apr. 1990, p. 502) terministic Models, Trieste, Italy. (Sep. Civil Engineering, 314 Engineering 11-13. IFAC/IFIP/IMACS Symposium 1990, p. 938) South, Oklahoma State Univ., Stillwa on Robot Control (SYROCO '91 ), Vienna, 12-13. Eastern Section, Temple U niver ter, OK 74078; 405-744-5714; FAX: Austria. (Oct. 1990, p. 1140) sity, Philadelphia, PA. 405-744-5033. * 11-14. Fourth SIAM Conference on Ap plied Linear Algebra, Univ. of Minnesota, INFORMATION: W. Drady, American 21-2 5. The International Conference on Minneapolis, MN. (Please note date Mathematical Society, P.O. Box 6887, the Theory of Rings, Algebras, and Mod change from Apr. 1990, p. 502) Providence, RI 02940. ules in Honor of A.I. Shirshov, Barnaul, * 13-1 5. Representation Theory Confer- U.S.S.R. (Jul./Aug. 1990, p. 745) 13-19. Geometrie, Oberwolfach, Federal ence, University of Oregon, Eugene, OR. Republic of Germany. (Jul./ Aug. 1990, 25-31. Klassifikation Komplex-Aigebrai p. 746) scher Varietiiten, Oberwolfach, Federal PuRPOSE: The conference is in honor Republic of Germany. (Jul./ Aug. 1990, of C.W. Curtis and will cover topics 14-18. IMA Workshop on Sparse Ma p. 745) in the representation theory of finite trix Computations: Graph Theory Issues and Algorithms, University of Minnesota, '25-31. Conference on Classifying Spaces groups of Lie type and associated Minneapolis, MN. (Oct. 1990, p. 1140) of Compact Lie Groups and Finite Loop algebraic groups. Spaces, Gottingen University. INVITED SPEAKERs: J. Alperin, M. * 16-18. SIAM Workshop on Microme- Brout\ R. Carter, E. Cline, W. Feit, chanics, Leesburg, VA. PROGRAM: The SFB Geometric and P. Fong, G. Lehrer, G. Lusztig, B. ORGANIZER: R.V. Kohn, Courant In Analysis of the Math Institute of Parshall, I. MacDonald, R. Richard stitute of Mathematical Sciences, New Gottingen will host a conference the son, L. Scott, T. Shoji, L. Solomon, T. York University. matically organized around the classi Springer, B. Srinivasan, R. Steinberg. INFORMATION: SIAM Conference Co fying spaces of compact Lie groups. INFORMATION: Representation The ordinator, Dept. CC0990, 3600 Uni ORGANIZING CoMMITTEE: G. Mislin, ory Conference, Dept. of Math., Univ. versity City Science Center, Philadel Ohio State Univ. and ETH, Zurich; of Oregon, Eugene, OR 97403. L. Smith, Yale Univ. and Univ. Gott phia, PA 191 04-2688; 215-382-9800; ingen; C. Wilkerson, Purdue Univ. 15-20. DMV-Jahrestagung 1991, Biele FAX: 215-386-7999; email: INFORMATION: L. Smith, Dept. of feld, Federal Republic of Germany. [email protected]. (Jul./Aug. 1990, p. 746) Math., Yale Univ., P.O. Box 2155 * 21-26. Third International Workshop Yale Station, New Haven, CT 06520; 15-21. Geometrie der Banachriiume, Conference on Evolution Equations, Con email: larry@lom l.math.yale.edu. Oberwolfach, Federal Republic of Ger trol Theory, and Biomathematics, Han many. (Jul./Aug. 1990, p. 746) sur-Lesse, Belgium. 22-28. Nonlinear and Random Vibra tions, Oberwolfach, Federal Republic of SPONSORs: European Community (Sci ence Plan, Project "Evolutionary Sys- 1288 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Meetings and Conferences terns"), and the universities of Mons ORGANIZER: R.E. Barnhill, Arizona CALL FOR PAPERS: Abstract deadline: and Antwerp, Belgium, in coopera State University. June 24, 1991. tion with other European laboratories CALL FOR PAPERs: Abstract deadline: INFORMATION: SIAM Conference Co belonging to the above mentioned EC May 6, 1991. ordinator, Dept. CC0990, 3600 Uni Project. INFORMATION: SIAM Conference Co versity City Science Center, Philadel ORGANIZERS: Ph. Clement (Delft U., ordinator, Dept. CC0990, 3600 Uni phia, PA 19104-2688; 215-382-9800; The Netherlands), G. Lumcr (U. of versity City Science Center, Philadel FAX: 215-386-7999; email: Mons, Belgium), J. Van Casteren (U. phia, PA 19104-2688; 215-382-9800; siamconfs@wharton. upenn.edu. Antwerp, Belgium). FAX: 215-386-7999; email: CONFERENCE WORKSHOPS/LECTURERS: [email protected]. H. Amann (Zurich), Ph. Benilan (Be Meeting, Uni June 1992 sancon), for the workshop on Nonlin 9-10. Western Sectional California, Santa Barbara. ear Parabolic Equations; G. Lumer versity of * 12-14. Canadian Mathematical Society (Mons), R. Nagel (Tiibingcn), W. INFORMATION: W. Drady, American Summer Meeting, York University, North Schappacher (Graz), for the work Mathematical Society, P.O. Box 6887, York, Ontario, Canada. shop on Evolution Equations; G. Da Providence, RI 02940. PRoGRAM CoMMITTEE: E. Campbell Prato (Pisa), W. Desch (Graz), for (Chair.), R. Buchweitz, P. Hoffman, I 1-15. IMA Workshop on Combina the workshop on Control Theory; 0. N. Madras. J. Stephrans. torial and Graph-Theoretic Problems in Dickmann (Amsterdam), K. Hadclcr INFORMATION: S. Kochman, Dept. of Linear Algebra, University of Minnesota. (Tiibingen), for the workshop on Math Math., York Univ., 4700 Keele St., Minneapolis, MN. (Oct. 1990, p. 1140) ematical Biology. There will also be North York, Ontario, M3J IP3; 416- other invited participants/lecturers in 17-23. Singularitiiten der Kontinuums 736-5250; the workshops. The workshops will be mechanik: Numerische und Konstruktive email: [email protected]. open as well for presentation of short Methoden zu Ihrer Behandlung, Ober communications. wolfach, Federal Republic of Germany. INVITED GENERAL LECTURERS: W. (Jul./Aug. 1990, p. 746) 1992 Arendt (Besancon), M. Crandall 18-22. Supercomputing '91, Albuquerque, August (Santa Barbara), W. Jager (Heidel NM. (Jan. 1990, p. 62) * 19-26. World Congress of Nonlinear berg), P. Malliavin (Paris), F. Neubran 20-26. C* -Algebren, Oberwolfach, Fed Analysts, Melbourne, FL. der (Baton Rouge), E. Sincstrari of Germany. (Jul./ Aug. eral Republic PROGRAM: There will be approxi (Roma), W. von Wahl (Bayreuth). 1990, p. 746) INFORMATION: G. Lumer, 3rd In mately 20 invited expository addresses 24-30. Numerische Methoden der Ap ternational Conference on Evolution covering recent developments in ma proximationstheorie, Oberwolfach, Fed Equations, lnst. de Mathematique, jor areas of nonlinear analysis and eral Republic of Germany. (Jul./ Aug. Universite de Mons, Place du Pare about 120 invited lectures divided 1990, p. 746) 20, B-7000 Mons, Belgi urn. It is into the following six main sections: planned to publish proceedings for 25-26. Central Section, North Dakota I. nonlinear operators; 2. calculus of this workshop-conference similar to State University. Fargo. ND. variations and optimization; control theory; and system analysis; 3. nu those for the earlier ( 1987, 1989) INFORMATION: W. Drady, American merical and computational aspects; conferences in Trieste and Delft. Mathematical Society, P.O. Box 6887, mathematical modelling; 4. dynamic Providence, RI 02940. systems; 5. stochastic analysis and ap plications; 6. real-world applications. November 1991 December 1991 INFORMATION: V. Lakshmikantham, 3-9. Mengenlehre, Oberwolfach, Federal Chairman, GSAC, Florida Institute of on Combustion. Republic of Germany. (Jul./ Aug. 1990, * 2-9. SIAM Conference Technology, Dept. of Applied Math., FL. p. 746) St. Petersburg, 150 West University Blvd., Melbourne, * 4-8. Second SIAM Conference on Geo ORGANIZER: J.D. Buckmaster, Uni FL 3290 1-6988; 407-768-8000 ext. metric Design, Tempe, AZ. versity of Illinois, Urbana. 8091 or 7412; FAX: 407-984-8461. NOVEMBER 1990, VOLUME 37, NUMBER 9 1289 New AMS Publications the Eighth Air Force, August-December 1944, Part II; Operations ANALYSIS IN THE UNITED analysis in the United States Army Eighth Air Force in World War II, OPERATIONS August-December 1944, Part Ill; Operations analysis in the Eighth Air STATES ARMY EIGHTH AIR FORCE IN Force, August-December 1944, Part IV; Operations analysis in the WORLD WAR II Eighth Air Force, the last four months of combat operations. Charles W. McArthur (History of Mathematics, Volume 4) Operations research grew out of the application of the scientific method to certain problems of war during World War II. This book tells the story of how operations research became an important activity in the Eighth Air Force. A small group of civilians, which began with four scientists and two lawyers, comprised the Operations Research Section, an advisory body attached to the Headquarters of the Eighth Bomber Command. During the course of the war in Europe, over forty operations analysts worked with the Eighth Air Force. By the end of 1943, the section had established itself as the authority on measurement and analysis of bombing accuracy, loss and battle damage, aerial gunnery, and general mission analysis, such as fuel consumption. In their dealings with visual bombing, radar, radio countermeasures, V-weapons, and flak analysis, these experts discovered that the air force could do a much better job with fewer bombs by using bombs of the correct size with the correct fuse settings. In addition, the section advised the commanding generals on McArthur was born in New Orleans on November bombing campaign in Europe, Charles Wilson major aspects of the strategic 4, 1921. He received his Ph.D. in mathematics in 1954 from Tulane including bombardment of German lines and support of Allied University. His three years with the United States Air Force (1943-45) ground troops in the Normandy invasion, the isolation of were spent in part as a bombardier. He taught at the University of Normandy by aerial destruction, and the demolition of the Maryland (1952-53), Alabama Polytechnic Institute, Auburn (1953-56}, where he advanced to the German synthetic oil industry. and Florida State University (1956-64}, rank of professor in 1964 and retired in 1986. He was chair of the The author emphasizes the people involved in these Department of Mathematics at F.S.U. from 1974 to 1980 and was historical events, rather than the technical matters with which named Professor Emeritus in 1987. they dealt. Focusing on a time of great importance in the McArthur was chair of the Florida Section of the Mathematical history of this century, the book reveals the vital role this Association of America from 1971 to 1972, and section representative on the MAA Board of Governors from 1977 to 1980. In 1987, played in the defeat of Germany~ group of civilian scientists he received an award from the Florida Section for outstanding contributions to mathematics and the mathematical community. Contents McArthur has published twenty-one papers, two in applied The beginning of operations analysis in the Eighth Air Force; The pioneer mathematics and the remainder in functional analysis. He was the operations research section organizes, October 1942-December 1942; major professor of the first doctoral student in mathematics at F.S.U., their Ph.D. degrees The operational research section of the Eighth Bomber Command as well as sixteen other students who earned under his direction. continues to organize (January 1943-June 1943); Operations research in the Eighth Bomber Command, June-December 1943; The operational 1980 Mathematics Subject Classification: 01 A60 January 1944-6 research section of the Eighth Fighter Command, ISBN 0-8218-0158-9, LC 90-829, ISSN 0899-2428 June 1944; The operations research section of the Eighth Air Force, 351 pages (hardcover), November1990 January 1944-6 June 1944; Operations analysis in the Eighth Air Individual member $49, List price $81, Force, 6 June 1944-July 1944; Operations analysis in the Eighth Institutional member $65 Air Force, August-December 1944, Part I; Operations analysis in To order, please specify HMATH/4N Use the order 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. 1290 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY New AMS Publications measurement. Examples include linear and nonlinear ROBOTICS errors-in-variables regression models, calibration and inverse R. W. Brockett, Editor regression models, factor analysis models, latent structure equations models. Such models (Proceedings of Symposia in Applied Mathematics, Volume 41) models, and simultaneous are used in a wide variety of areas, including medicine. the The central problem of robotics is the analysis and life sciences, econometrics, chemometrics, geology, sample replication of patterns of movement required to accomplish surveys, and time series. Although the problem of estimating useful tasks. Physicists have found that deeper examination the parameters of such models exists in most scientific fields, of the physical world often reveals inadequacies in the there is a need for more sources that treat measurement error vocabulary and mathematics used to describe it; in much the models as an area of statistical methodology. This volume is same way, roboticists have found it quite awkward to give designed to address that need. precise, succinct descriptions of effective movements using This book contains the proceedings of an AMS-IMS-SIAM the syntax and semantics in common use. What is needed to Joint Summer Research Conference in the Mathematical produce general purpose robots is a more expressive means Sciences on Statistical Analysis of Measurement Error Models for discussing movement. This volume focuses on some of and Applications. The conference was held at Humboldt State the ways that mathematics can be used to address problems University in Arcata, California in June 1989. The papers in in this area. this volume fall into four broad groups. The first group treats Focusing on some of the important mathematical questions general aspects of the measurement problem and features arising in the field of robotics, this book conveys a sense for a discussion of the history of measurement error models. the effectiveness of mathematics in capturing the essence of The second group focuses on inference for the nonlinear robotics problems. In addition, the book will make readers measurement error model, an active area of research which aware of the way in which computer control interacts with generated considerable interest at the conference. The geometry. The first four papers deal with kinematics and third group of papers examines computational aspects of control, relying on realistic models for kinematic processes. estimation, while the final set studies estimators possessing The last two papers have more of the flavor of computer robustness properties against deviations from common model science and are concerned with the symbolic descriptions of assumptions. motion, including the treatment of uncertainty. Contents The book is directed toward mathematically literate readers interested in finding out about the questions that arise in GENERAL PROBLEMS: Peter Sprent, Some history of functional robotics and how mathematics can help answer them. A and structural relationships; Alice S. Whittemore, Errors-in-variables mathematical background at the level of an undergraduate regression problems in epidemiology; Hans Schneeweiss, Models degree in mathematics and some knowledge of basic with latent variables: LISREL versus PLS; Wayne A. Fuller, Prediction mechanics is assumed. of true values for the measurement error model; Stephen M. Miller, Analysis of residuals from measurement error models; John L. Eltinge, Contents Errors-in-variables estimation in the presence of serially correlated observations; NONLINEAR MODELS: Leon Jay Gieser, Improvements Some mathematical aspects of robotics; Madhusudan R. W. Brockett, of the naive approach to estimation in nonlinear errors-in-variables kinematics; J. Baillieul and D. P. Martin, Raghavan, Manipulator regression models; Leonard A. Stefanski and Raymond J. Carroll, redundancy; Richard M. Murray and S. Resolution of kinematic Structural logistic regression measurement error models; Daniel W. Shankar Sastry, Grasping and manipulation using multifingered robot Schafer, Measurement error model estimation using iteratively weighted Donald, Planning and executing robot assembly hands; Bruce R. least squares; Philip J. Brown and Samuel D. Oman, Problematic presence of uncertainty; R. W. Brockett, Formal strategies in the points in nonlinear calibration; Yasuo Amemiya, Instrumental variable motion description and map making. languages for estimation of the nonlinear measurement error model; Daniel J. 1980 Mathematics Subject Classifications: 70B15, 53A17, 68G05, Schnell, A likelihood ratio test for error covariance specification in 93-02, 68-02 nonlinear measurement error models; Cliff J. Spiegelman, Plotting ISBN 0-8218-0163-5, LC 90-1220, ISSN 0160-7634 techniques for errors in variables problems; COMPUTATIONAL 196 pages (hardcover), November 1990 ASPECTS: G. W. Stewart, Perturbation theory and least squares with Individual member $31, List price $51, errors in the variables; Paul T. Boggs and Janet E. Rogers, Orthogonal Institutional member $41 distance regression; Nicholas J. Higham, Computing error bounds for To order, please specify PSAPM/41 N regression problems; ROBUST PROCEDURES: Michael W. Browne, Asymptotic robustness of normal theory methods for the analysis of latent curves; Chi-Lun Cheng and John W. Van Ness, Bounded STATISTICAL ANALYSIS OF MEASUREMENT influence errors-in-variables regression; Victor J. Yohai and Ruben H. Zamar, Bounded influence estimation in the errors-in-variables model. ERROR MODELS AND APPLICATIONS 1980 Mathematics Subject Classifications: 62-06; 62J99 Philip J. Brown and Wayne A. Fuller, Editors ISBN 0-8218-5117-9, LC 90-44278, ISSN 0271-4132 (Contemporary Mathematics, Volume 112) 248 pages (softcover), November 1990 Individual member $32, List price $53, Measurement error models describe functional relationships Institutional member $42 among variables observed, subject to random errors of To order, please specify CONM/112N NOVEMBER 1990, VOLUME 37, NUMBER 9 1291 New AMS Publications and researchers in automorphic forms, trace formulas, REDUCTION, SYMMETRY, AND PHASES IN Kleinian groups, or string theory. MECHANICS Contents J. Marsden, R. Montgomery, and T. Ratiu Riemann surfaces with nodes and regular b-groups; The space Mg; (Memoirs of the AMS, Number 436) Convergence of Green's functions (part one); Collars and nodal neighborhoods; An apriori bound for prime geodesics; Convergence of Aimed at graduate students and researchers in geometric Green's functions (part two); Continuity properties of small eigenvalues; mechanics, this book establishes a basic link between phases Asymptotic properties of the Selberg zeta function; An analog of Wey/'s and symmetry methods in mechanics. The authors show that Law. geometric phase and holonomy phenomena in mechanics are 1980 Mathematics Subject Classifications: 10015, 30F35, 30F40, instances of the reconstruction procedure for mechanical 32G15, 35P20 systems with symmetry. They systematically exploit this point ISBN 0-8218-2499-6, LC 90-1171, ISSN 0065-9266 of view for fixed systems (for example, with controls on 138 pages (softcover), November 1990 Individual member $13, List price $21, the internal, or reduced, variables) and for slowly moving Institutional member $17 systems in an adiabatic context. For the latter, they obtain the To order, please specify MEM0/437N phases as the holonomy of a connection which synthesizes the Cartan connection for moving mechanical systems with the Hannay-Berry connection for integrable systems. This SOCIETE MATHEMATIQUE DE FRANCE, ASTERISQUE synthesis allows one to treat, in a natural way, examples like the ball in the slowly rotating hoop and non-integrable The AMS distributes Asterisque only in the U.S., Canada, and Mexico. mechanical systems. Applications to coupled rigid bodies, the Orders from other countries should be sent to the SMF, B.P. 126-05, Foucault pendulum, and other mechanical systems are given. 75226 Paris Cedex 05, France, or to OFFILIB, 48 rue Gay-Lussac, 75240 Paris Cedex 05, France. Individual members of either AMS or Contents SMF are entitled to the member price. (ISSN 0303-1179) Some Examples; Reconstruction of dynamics for Hamiltonian systems; Reconstruction of dynamics for Lagrangian systems; Ehresmann connections and holonomy; Reconstruction phases; Averaging connections; Existence, uniqueness and curvature of the Hannay-Berry THEORIE HOMOTOPIQUE DES FORMES connections; The Hannay-Berry connection in the presence of additional symmetry; The Hannay-Berry connection on level sets of the DIFFERE~TIELLES (D'APRES D. SULLIVAN) momentum map; Case 1: Bundles of symplectic manifolds with the Seconde Edition Revue et Augmentee canonical connection; integrable systems; Case II: Cartan connections; D. Lehmann moving systems; The Cartan angles; the ball in the hoop and the (Asterisque, Number 45) Foucault pendulum; Induced connections on the tower of bundles; The Hannay-Berry connection for general systems. Un theoreme bien connu de de Rham exprime que 1980 Mathematics Subject Classifications: 58F, 70H l'algebre Q 0R(X) des formes differentielles sur une variate ISBN 0-8218-2498-8, LC 90-1143, ISSN 0065-9266 differentiable X permet de calculer Ia cohomologie reelle 109 pages (softcover), November 1990 de X. L'une des consequences de Ia theorie de Sullivan Individual member $11, List price $19, est que cette algebre fournit bien d'autres informations Institutional member $15 sur Ia topologie de par exemple, si est simplement To order, please specify MEM0/436N X; X connexe, elle determine entierement le .. type d'homotopie reel" de X (i.e. les groupes 7rn(X) ® IR et les invariants de Postnikov reels), resultat qui se generalise au cas des REGULAR b-GROUPS, DEGENERATING espaces nilpotents (c'est-a-dire dont le groupe fondamental RIEMANN SURFACES, AND SPECTRAL est nilpotent, et opere de fa9on nilpotente sur les groupes THEORY d'homotopie d'ordre superieur). Dennis A. Hejhal Contents (Memoirs of the AMS, Number 437) This book is concerned with the spectral theory of the Rappels de topologie: Espaces d'Eilenberg-Mac Lane; Decomposition hyperbolic Laplacian as the underlying Riemann surface de Postnikov; Espaces nilpotents; Localisation des espaces nilpotents; is ··pinched down·· to a surface with nodes. The author Algebres differentielles graduees commutatives: La categorie approaches this problem from the standpoint of regular k- ADG(c); Extensions principales et algebres minimales; Modele b-groups and the Selberg trace formula. Ideas of this kind minimal d'une k-ADG(c) connexe; Formes differentielles simpliciales: have recently become useful in connection with string Le probleme des cochaines commutatives; Construction de solutions au problema des cochaines commutatives; Transformations; Foncteur theory. Perhaps the book's most significant contribution F : (M - ADG)Q -+ TQ; Transgression: Fibrations totalement lies in the theorems dealing with the limiting behavior of transgressives; Application aux fibrations principales; Application aux Green's function, the Selberg zeta function, and the spectrai espaces nilpotents. Theoreme principal; Remarques sur /'equivalence distribution function. Providing readers with an up-to-date de categorie TQ ...... (M- ADG)Q; Quelques exemples et understanding of how the spectrum of the Laplacian behaves applications: Cas oil /'algebre de cohomologie est fibre; Spheres s2N under pinching deformations, the book is directed at students de dimension paire; Espaces projectifs complexes pn(C); Cas des 1292 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY New AMS Publications variates differentiables; Fibres principaux coo et G - ADG; Espace classifiant d'un groupe nilpotent; Espaces fonctionnels; Modele minimal d'une ADG(c) libre connexe et simplement connexe; Espaces formels. Algebraic Geometry for 1980 Mathematics Subject Classifications: 55, 58 Scientists ISSN 0303-1179 145 pages, November 1990 Individual AMS or SMF member $13, List price $18 and Engineers To order, please specify AST/45N Shreeram S. Abhyankar Mathematical Surveys and Monographs, Volume 35 This book, based on lectures presented in courses on algebraic geometry taught by the author at Purdue University, is intended for engineers and scientists (especially computer scientists), as well as graduate students and advanced under graduates in mathematics. In addition to provid ing a concrete or algorithmic approach to alge braic geometry, the author also attempts to motivate and explain its link to more modern algebraic geometry based on abstract algebra. The book covers various topics in the theory of algebraic curves and surfaces, such as rational and polynomial parametrization, functions and differentials on a curve, branches and valu ations, and resolution of singularities. The Positive Definite Unimodular Lattices emphasis is on presenting heuristic ideas and suggestive arguments rather than formal proofs. with Trivial Automorphism Groups Readers will gain new insight into the subject of Etsuko Bannai • (Memoirs of the AMS, Number 429) algebraic geometry in a way that should increase appreciation of modern treatments of the sub In this book, the author proves that there exists a lattice with trivial automorphism group in every genus of positive definite unimodular ject, as well as enhance its utility in applications Z-lattices of rank m (with m ~ 43 for the odd unimodular case and in science and industry. m ~ 144 for the even unimodular case). Siegel's mass formulas for lattices (for both orthogonal and hermitian cases) are used in the ~tS\I~M..tr'c:" proof. In addition, the author shows that, for those positive definite Sr(-w· ~f6 unimodular Z-lattices in the given genus and of rank m, the ratio of \\~~~]~ the mass of classes with nontrivial automorphisms to the mass of all ~~· • "'lJNoEP ,"tfr classes approaches 0 very rapidly as m increases. The book is intended for researchers and advanced graduate students in the areas 1980 Mathematics Subject Classifications: 14 of number theory and quadratic forms. ISBN 0-8218-1535-0, LC 90-815, ISSN 0076-5376 295 pages (hardcover), October 1990 Individual member $52, List price $87, Institutional member $70 1980 Mathematics Subject All prices subject to change. Shipment will Classification: 10 be made by surface. For air delivery add, To order, please specify SURV/35NA ISBN 0-8218-2491-0, I st book $5, each additional book $3, LC 90-31824, ISSN 0065-9266 maximum $100. Prepayment required. All prices subject to change. Free shipment by surface; for air 70 pages (softcover), May 1990 Order from American Mathematical delivery, please add $6.50 per title. Prepayment required. Individual member $10, Society, P.O. Box 1571, Annex Station, Order from American Mathematical Society, P.O. Box 1571, List price $16, Providence, RI 02901-1571, or call toll Annex Station, Providence, RI 02901-1571, or call toll free Institutional member $13 free 800-321-4AMS (321-4267) in the To order, please specify continental U.S. and Canada to charge 800-321-4AMS (321-4267) in the continental U.S. and Can MEM0/429NA with VISA or MasterCard. ada to charge with Visa or MasterCard. NOVEMBER 1990, VOLUME 37, NUMBER 9 1293 AMS Reports and Communications The Summer Meeting William Browder, President of the State University (Columbus). in Columbus Society. Ring Theory, S. K. JAIN, Ohio The August 1990 Joint Mathematics Invited Addresses. By invitation University, and S. TARIQ RIZVI, Ohio Meetings, including the 93rd Sum of the Program Committee, there State University (Lima). mer Meeting of the AMS, the 69th were two 50-minute Invited Ad Contributed Papers. There were Summer Meeting of the MAA and dresses: MICHAEL E. TAYLOR spoke seven sessions for 10-minute con the celebration of the 75th anniver on The role of microloca/ analysis in tributed papers. The titles of these sary of the founding of the MAA, the PDE, and JosEPH CoNLON spoke on sessions, and the names of the indi 1990 Summer Meetings of the Asso Statistical mechanics of Coulomb sys viduals who served as co-chairs, are ciation for Women in Mathematics, tems. The speakers were introduced as follows: and Pi Mu Epsilon, was held August by Cathleen S. Morawetz and Jan Graph theory and combinatorics, 8-11 on the campus of The Ohio Philip Solovej, respectively. WILLIAM C. ARLINGHAUS and GARY State University in Columbus, Ohio. Special Sessions. By invitation of CHARTRAND. There were 1299 registrants, includ the same committee, there were six Geometry, topology and infinite ing 795 members of the Society. special sessions of selected twenty combinatorics, JAMES CAMACHO, JR. AMS-MAA Invited Address. minute papers. The topics of these and GENE DouGLAS JoHNSON. Sponsored jointly by the American sessions, and the names and affil Group theory, BEN BREWSTER and Mathematical Society and the Mathe iations of the organizers, were as WOLFGANG KAPPE. matical Association of America, follows: Algebraic number theory and mul SAUNDERS MAC LANE spoke on Al Algebraic Geometry, GARY KEN tiplicative structures, DAviD W. gebra as a means of understanding NEDY and SusAN JANE CoLLEY, Ober JENSEN and LEROY F. MEYERS. mathematics. Professor Mac Lane lin College. Function spaces, K. SUNDARESAN was introduced by William Browder, Combinatorics, DIJEN RAY- and GREGORY B. PASSTY. President of the Society. CHAUDHURI, THOMAS A. DowLING, Numerical methods and mathe Progress in Mathematics Lectures. and NEIL ROBERTSON, Ohio State matical modeling, SANDRA L. AR By invitation of the Committee to Se University (Columbus). LINGHAUS and WILLIAM A. JONES, lect Progress in Mathematics Speak Combinatorial Games, RICHARD JR. ers, there were two 90-minute Pro K. GuY, University of Calgary, and Differential and integral equations, gress in Mathematics Lectures: MI RICHARD J. NOWAKOWSKI, Dalhousie M. N. IsLAM and JoHN JONES, JR. CHAEL G. CRANDALL spoke on Vis University. cosity solutions of partial differen Dynamics of Biological Systems, tial equations, and JoHN W. MoR ZITA M. DIVIS and DAVID TERMAN, W. Wistar Comfort GAN spoke on A-trees and their ap Ohio State University (Columbus). Associate Secretary plications. The Progress in Mathe Group Theory, SURINDER K. SE Middletown, Connecticut matics Lecturers were introduced by HGAL and RONALD SOLOMON, Ohio 1294 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Miscellaneous Personals scientific endeavour, and for services itus of the University of Arizona, Stephen H. Crandall, Ford Profes to the Society. died on September 25, 1989 at the sor of Engineering and director of John F. Price, of the Univer age of 88. He was a member of the the Acoustics and Vibration Labo sity of New South Wales, has been Society for 59 years. ratory at the Massachusetts Insti appointed Professor of Mathematics Dudley E. South, Professor Emer tute of Technology, will receive the and Chairperson of the department itus of Eckerd College, died on July Timoshenko Medal of the Ameri at Maharishi International Univer 30, 1990 a the age of 90. He was a can Society of Mechanical Engineers sity. member of the Society for 46 years. (ASME) during its winter meeting in Ian F. Putnam, of Dalhousie Uni Robert Wanner Wagner, Profes November. The medal recognizes dis versity, has won the 1990 Israel sor Emeritus of the University of tinguished contributions to the field Halperin Prize for his work on dy Massachusetts at Amherst, died on of applied mechanics. Dr. Crandall namical systems and C*-algebras. February 22, 1990 at the age of 76. is receiving it for "enduring contri Roger Richardson, of Australian He was a member of the Society for butions to research in dynamics of National University, was elected to 54 years. mechanical systems and for the pio Fellowship of the Australian Academy neering work in random vibrations". of Science at its 39th Annual General Visiting Mathematicians Roger Grimshaw, of the Univer Meeting held in Canberra on April Supplementary List sity of New South Wales, was elected 19. Mathematicians visitng other insti to Fellowship of the Australian Acad Christina M. Wohlert, of Savan tutions during the 1989-1990 and emy of Science at its 39th Annual nah, Georgia, graduated valedicto 1990-1991 academic years have been General Meeting held in Canberra rian of Armstrong State College's listed in recent issues of Notices: on April 19. class of 1990. October 1990, p. 1148; September Seok-Jin Kang, currently a re Deaths 1990, p. 9 59; July I August 1990, p. search instructor at North Carolina Ralph G. Archibald, Professor Emer 758; May/June 1990, p. 621; April State University, was named a Prize itus of the University of Chicago, 1990, p. 508; March 1990, p. 342. Teaching Fellow at Yale University died on April 25, 1990 at the age of Barry E. Johnson (United King in 1989. 88. He was a member of the Society dom), University of California, Los Michel L. Lapidus, of the Uni for 63 years. Angeles, Banach Algebras, 8/90-3/91 versity of Georgia, has accepted a Isadore I. Hirschman, retired pro and University of California, Santa new position as Full Professor of fessor from Washington University, Barbara, 3/91-6/91. Mathematics at the University of died on June 10, 1990 at the age of Yukio Kobayashi (Japan), Univer California, Riverside. 67. He was a member of the Society sity of Arkansas, Semigroups, 9/90- John Loxton, of Macquarie Uni for many years. 8/91. versity, was awarded the Medal of the James H. Moran, of Spicewood, Phillip E. Parker (U.S.A.), Uni Royal Society of New South Wales. Texas, died on August 7, 1990 at the versidade de Santiago de Compostela, The award is for contributions to the age of 65. He was a member of the Differential Geometry, Theoretical advancement of science, including Society for 30 years. Physics, and Number Theory, 2/91- administration and organization of Edwin J. Purcell, Professor Emer- 5/91. NOVEMBER 1990, VOLUME 37, NUMBER 9 1295 New Members of the AMS ORDINARY MEMBERS Peter W Brandt, New York, NY Lisa A Desposito, South Orange, Frederic K Harris, Arkport, NY Mehdi Sadik Abbas, Univ of Karl W Breitung, Univ of NJ Lawrence Harris, Quinnipiac Baghdad, Iraq Munich, Federal Republic of George Diderrich, Johnson College, Hamden, CT Terutake Abe, Buffalo, NY Germany Controls, Milwaukee, WI Rebecca E Harte, Burke, VA Taher M Abulebdeh, Louisiana Lora L Brewer, Middle Pawel Domanski, Adam Douglas C Hartman, Fremont, State Univ, Baton Rouge Tennessee State Univ, Mickiewicz Univ, Poznan, NE Fred C Adams, Center for Murfreesboro Poland Robert Hatch, Aurora, CO Astrophysics, Cambridge, Edward M Brisse, Arcachon, Brian J Doyle, Chrysalis Takao Hayashi, Doshisha Univ, MA France Associates Inc, Windham, Kyoto, Japan Bhagwan D Aggarwala, Univ of Terrell N Brown, Denver, CO NH Sabrina A Hessinger, Erie, PA Calgary, Alberta Canada Jarod J Bryan, Augusta, ME W James D Easton, Bonita, CA Arthur R Hightower Jr, Alain Vincent Albugues, ENSTP, Peggy P Budlowe, Booneville, Howard C Edinger Jr, Westfield, Philadelphia, PA Yamoussoukro, Ivory Coast MS NJ Chat Yin Ho, Univ of Florida, Dennis P Allen Jr, Spring Lake, David P Burke, Reston, VA David M Einstein, Lexington, Gainesville MI Larry A Cammack, Central MA James C Holland, Thousand Kurt Ammon, Hamburg, Federal Missouri State Univ, John E Ekstrom, Westwood, MA Oaks, CA Republic of Germany Warrensburg A S Elkhader, Univ of Debbie L Hopkins, Virginia Alan E Amundsen, La Crescenta, Debra S Carney, Burlington, Minnesota-Duluth Polytech Institute & State CA VT Brady A Elliott, Miami, FL Univ, Blacksburg Ladislav Andrey, Prague, John F R Casimir, Roseau, West Jean-Claude Evard, Auburn Joseph P Hopkins, Detroit, Ml Czechoslovakia Indies Univ, AL Neil E Hopkins, York, PA William D Ardis, Collin County Faith Y Chao, Golden Gate Ping Feng, Harvard Univ, Thomas Humphrey, The Community College, Plano, Univ, San Francisco, CA Cambridge, MA Exploratorium, San TX Yu Chin Cheng, Johns Hopkins James A Fill, Johns Hopkins Francisco, CA Fernandez Arturo Arias, Madrid, Univ, Baltimore, MD Univ, Baltimore, MD Gerald Hyde-Jaimovich, Spain Leonid Chernis, Advanced Wayne T Fischer, Saint Joseph's Irwindale, CA George M Austin, Santa Barbara, Computing Solutions Inc, High School, Metuchen, NJ Takao Inoue, Utrecht, CA Houston, TX M Gregory Forest, Ohio State Netherlands Mahdi Bannae Razari, Ferdowsi Ramona G Choos, Highland Univ, Columbus Charles M Iossi, John Wiley & Univ of Mashhad, Iran Park, IL Daniel M Gallo, Saint John's Sons Inc, New York, NY Jean-Paul Banquet, LENA-CNRS Thomas P Cieslik, Farmington, Univ, Staten Island, NY Nikolay N Ivanov, Grodno, Salpetriere, Paris, France MI James W Galvin, Hackettstown, USSR Allen Barnes, Hollis, NY Lester M Clendenning, NJ Thomas E Iverson, Central Alexander I Barvinok, Academy Humboldt State Univ, Susan L Ganter, Goleta, CA College, Pella, lA of Sciences of the USSR, Arcata, CA Peter Georgakis, Santa Barbara Dariush M Izadi, Banner, KY Leningrad H James Clifford, Gig Harbor, City College, CA Stephen Jameyson, Moraga, CA Robert J Belloto Jr, Columbus, WA James H Geronimo, Industrial Devashis Jana, Amherst, NY OH Jeffrey 0 Coleman, Bellevue, W A Press, New York, NY Mark W Jensen, San Jose, CA Earl M Bennett, Watkinsville, Scott L Contois, Jefferson City, Ahmad Gholami, Ferdosi Univ Thomas W Jensen, Evans & GA MO of Mashhad, Iran Sutherland, Salt Lake City, Thomas Lee Bennett Ill, Albany, Mary M Coppola, Convent of the John C Gibbs, Altoona, AL UT GA Sacred Heart, New York, Allen Goodrich, East Aurora, NY Edward Jezierski, Technical Univ Debra R Bergman, Potomac, MD NY Richard A Goodrum, HNSX of Lodz, Poland Dave Blackstone, New York, NY Darla C Cordes, San Antonio, Supercomputers, The Gerard J Jungman, Enrico Fermi James S Boler, Alvin Community TX Woodlands, TX Institute, Chicago, IL College, TX John Costain, Virginia Polytech Peteris E Graube, San Jose, CA Nickolas Kalivas, Kent, England Shahar Boneh, Wichita State Institute & State Univ, Michael A Guillen, Brookline, Jay Kaminsky, Newington, CT Univ, KS Blacksburg MA James Allison Kelemen, Tijeras, Steve H Bonner, Germantown, Nuno Crato, Newark, DE Yu Qi Guo, Lanzhou Univ, NM MD David V Cruz-Uribe, Oakland, Lanzhou Gansu, People's Laura L Kelleher, Ocean Bluff, Allen Frank Bowyer, East CA Republic of China MA Carolina Heart Institute, Melissa M Culver, Dresden, TN William N Halchin, Carlisle, MA Ayshhyah Eli Khazad, Eugene, Greenville, NC Joseph L Cupps, Laramie, WY Steven M Hammes, El Segundo, OR Donald J Boyce, Central State Samuel Y Dennis Ill, Nashville, CA Harald G Kiel, Middle Village, Univ, Edmond, OK TN John L Hank, Columbus, OH NY 1296 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY New Members of the AMS Michael K H Kiessling, New Mary Ellen Nolte, Fort Wayne, William T Shaw, Oxford, Jacob Zachariah, Lorna Linda, York Univ Courant IN England CA Timothy R Klassen, Enrico Arthur E Noyes, Depew, NY Patricia D Shure, Univ of Michael V Zakharyashchev, Fermi Institute, Chicago, IL Lawrence M Nudelman, Allstate Michigan, Ann Arbor Moscow, USSR Jeanne Kowalski, Chatham Insurance, Northbrook, IL Andrzej Sladek, Silesian Univ, Liang Zhongchao, Oceanographic College, Pittsburgh, PA Carol A Nugent, Escondido, CA Katowice, Poland Univ of Qingdao, People's Mark D Krajecki, Elgin, IL Esa Nummelin, Univ of Lynn R Smith, Sedro-Wooley, Republic of China Mieczyslaw Kula, Silesian Univ, Helsinki, Finland WA Jerald R Ziemke, Ames, lA Katowice, Poland Carol S O'Dell, Ohio Northern Paul V Smith, Silver Spring, MD Yun Zou, East China Institute Joseph A Kunicki, Columbus, Univ, Ada John L Snyder, Seattle, W A of Technology, Nanjing, OH Kenzi Odani, Nagoya Univ, George Lawrence Spade, People's Republic of China Shyuee-Chuan Lan, Urbana, IL Japan Columbia Falls, MT Peter Landesman, New York, Patrick I Okobi, Bronx, NY Otmar Spinas, Univ of Zurich, NY Albert J Pahk, Flushing, NY Switzerland Ying Guo Lei, Fuzhou Univ, Owen D Parham, La Habra, CA Christopher M Steinbach, Fujian, People's Republic of Paul E Parmentier, Milwaukee, Ridgewood, NJ China WI Berit Stensones, Princeton, NJ David E Lerner, Univ of Kansas, Ovidiu Pasarescu, Bucharest, James W Stewart, Piscataway, NJ RECIPROCITY MEMBERS Lawrence Catherine B Stockwell, Romania Australian Mathematical Society Charles H Levie, Baltimore, MD Andrea Pass, Brandeis Univ, Sunnyvale, CA Blanche C Lewis, Holt, AL Waltham, MA Alexander Stuebinger, Mainz, Ken W McNamara Marco Li Calzi, Stanford Univ, James Randall Pate, Conway, AR Federal Republic of Germany Terrence M Mills CA Gregory D Peiper, Carlisle, PA Nalina Suresh, Tampa, FL Dansk Matematisk Forening David A Linwood, California V Perez-Munuzuri, Univ of Ronald F Sutton, Philadelphia, Carsten Lunde Petersen State Univ Fresno Santiago de Compostela, PA Deutsche Mathematiker Nelson A Logan, Austin, TX Spain Gerald F Syms, Princeton Univ, Jose A Lombay-Quinones, Glen S Peterson, Los Angeles, NJ Vereinigung e. Caguas, PR CA Edward Szczerbicki, Univ of v. Michael P Loss, Georgia Institute Rosemarie L Picinich, Oradell, Iowa, Iowa City Martin Brokate of Technology, Atlanta NJ Anders Szepessy, New York Univ Reiner Lauterbach Godfrey L Loudner, Mission, SD Henry Pierluissi, Austin, TX Courant Michael Plum Alberto Marquez-Perez, Faculty John J Podesta, Glen Ridge, NJ Nicolai N Takhanov, Institute Dietrich Suschowk of Mathematics, Sevilla, Fernand J Prevost, New of Physics, Krasnoyarsk, Gesel/schaft fiir Angewandte Spain Hampshire State Department USSR Madhukar V Mallayya, of Education, Concord Janice H Tick, Ellington, CT Mathematics und Trivandrum, India Jack Price, Palos Verdes Estates, Eugene Tillman, Houston, TX Mechanik Sandra L Mamish, Centerville, CA John D Tracey, Cranston, Rl Panagiotis D VA Jerome J Przybylski, Elmira Leonidas N Tsitsas, Univ of Panagiotopoulos Samuel L Marateck, Long Beach, College, NY Athens, Greece Indian Mathematical Society NY Antonio Quintero, Sevilla, Spain Guizhang Tu, New Jersey K C Gupta Solomon Marcus, Institute of Anita Rado, McLean, VA Institute of Technology, Mathematics, Bucharest, Niti Rajvanshi, Meerut, India Newark Irish Mathematical Society Romania Luis Ramos, Stanford Univ, CA Brian P Turnquist, Millersville, David A Flannery Jared P Martin, Lansing, KS Claude Alvin Rhodes, Madison, MD Alastair D Wood Marsha Lakes Matyas, AAAS, AL John Urbas, Australian National Israel Mathematical Union Washington, DC Melissa B Richardson, Glen Univ, Canberra Vladimir G Berkovich Robert G Maule, Phoenix, AZ Burnie, MD Timothy P Van Zandt, Arie Leizarowitz David 0 McGoveran, Boulder John Ringland, Yale Univ, New Princeton, NJ Creek, C'A Haven, CT De Ren Wang, Shanghai Univ Korean Mathematical Society Ulrich Meierfrankenfeld, Gordon R Roberts, Bloomington, of Science & Technology, Dong-Soo Kim Michigan State Univ, East IN People's Republic of China Yoon Yong Oh Lansing Monty R Roberts, Edmond, OK Nikolai I Weaver, Harvard Univ, London Mathematical Society Carolyn L Meitler, Greendale, Michael G Rose, Pennsylvania Cambridge, MA T M G Ahsanullah WI State Univ, University Park Jerzy M Weyman, Northeastern Michael B Mensky, USSR Rosemary Kominek Ryan, Flint, Univ, Boston, MA William W Academy of Science, Ml Mary Perez Williams, Academy Crawley-Boevey Moscow Pedraam Safari, Tehran, Iran of Our Lady of Guam, John D S Jones Philip R Meyers, New York, NY Martin E Saralegi, CSIC, Agana Rowan P Mould Behnam Mirza, Isfahan, Iran Madrid, Spain Glenn J Wimbish, Huntingdon Thomas J Ransford Jerzy K Mogilski, Univ of Zoltan Sasvari, Technical College, Montgomery, AL Enric Trillas Alabama, Tuscaloosa Univ of Dresden, German Nord F Winnan, Cranbury, NJ Mathematical Society of Charles J G Morgan, Democratic Republic Fu-Hsiang Wong, National Warwickshire, England James C Schaper, East Lansing, Central Univ, Chung-Li, Japan Jack J Murphy, Colorado Ml Taiwan Hiroaki Aikawa Springs, CO Paul W Schmitt, North Syracuse, Nancy S Wong, New York, NY Nobuhiko Fujii Soebowo Musa, Woodside, NY NY Walter Wuensch, Clinton, NY Shoichi Funabashi Howard Musolf, C S Draper Blake T Scranton, Springfield, IL Alun Wyn-Jones, Wallsoft Atsushi Inoue Laboratory, Cambridge, MA Jayasiri Senevirathne, Duisburg, Systems Inc, New York, NY Masumi Kameda Kathirgama Nathan, Flushing, Federal Republic of Germany Diana M Yakowitz, Tucson, AZ Shinichi Kotani NY Judith K Seymour, Glenwood, William L Yates, Tampa, FL Takashi Sakai John Harold Nixon, Univ of East MD Christopher T Yau, Embry- Shigeo Segawa Anglia, Norwich, England Jay A Shaprio, George Mason Riddle Aeronautical Univ, Erich G Nold, Orlando, FL Univ, Fairfax, VA Prescott, AZ Masato Wakayama NOVEMBER 1990, VOLUME 37, NUMBER 9 1297 New Members of the AMS Norsk Matematisk Sociedade Portuguesa de NOMINEE MEMBERS Jean Chuang Foreningros Matemdtica Claremont Graduate School Jeyaraj J Davamani Pekka Neittaanmiiki M Eugenia Almeida Ratanamuny Ngo Cathy Ann Godbois Kristian Seip Cesar deSa DePauw University Rebecca A Heiskell Luis Sanchez Richard J Kloser Punjab Mathematical Society Louis E Smogor Jr Carole King Krueger Abdul Rahim Khan Societal Catalana de McMaster University Emily I Leland Matematiques Anneliese Schauerte Societe Mathematique de Lluis Alseda i Soler Yizeng Li Belgique Irene Llerena Oberlin College Mehran Mahdavi Andre G Leroy Griselda Pascual David S Romano Amir M Rahimi Jean-Pierre Schneiders Antoni Ras Ohio State University, Shyla Ranganath Columbus Kumars Ranjbaran Societe Mathematique de Xavier Rodriguez Yue Zhao Jean A Waldson France Marta Valencia Jian-ping Zhou Carol Petter White Gabriel Picavet Svenska Matematikersamfundet Yuhua Wu Francois Rouviere Adolf W Af Ekenstam Princeton University Press Hans-Lennart E Engquist Lilya C Lorrin Societe de Mathematiques University of Waterloo University of Illinois at Appliquees et Industrielles Unione Matematica ltaliana David Gregory Anglin Chicago J F Colombeau Alberto Cavicchioli Raghib M Abu-Saris Roland J Tapiero Paolo Dominici Yale University Laura Gotusso Evans K Afenya Jeyendran Balakrishnan Sociedad Matemdtica Sergio lnvernizzi Bin Yang Mexicana Delfina Roux Qi Yang York College, CUNY Angel Tamariz-Mascarua Yongzhi Yang 6sterreichische Dale Davis Sociedade Brasi/eira de Mathematische University of Texas at Moise J Lubin Matemdtica Gesel/schaft Arlington Najib Saylani Jorge Hounie Peter Paule Yuh-Mei Frances Chen Michael G Townsend A. J. Lohwater's [J[J RUSSIAN-ENGLISH Dictionary of the Mathematical Sciences Second Edition Edited by Ralph P. Boas Revised and expanded with the assistance of Alana I. Thorpe This long-awaited update of the popular Lohwater dictionary is the most complete and up-to-date resource for reading and translating mathematical literature written in Russian. Hundreds of new words have been added, and existing entries have been amplified, corrected, and brought up-to-date to reflect current mathematical usage (though some obsolete terms were retained for users who need to consult older literature). The grammar section has been rewritten, and an appendix contains complete paradigms of a large number of selected words. In addition, at the request of many users of the dictionary, stress markings on Russian words have been added. Intended primarily for those whose first language is English, this dictionary will prove a useful tool for researchers, editors, and translators working with Russian mathematical literature. 1980 Mathematics Subject Classification: 00 All prices subject to change. Free shipment by surface; for ISBN 0-8218-0160-0 (hardcover), air delivery, please add $6.50 per title. Prepayment 0-8218-0133-3 (softcover), LC 90-290 required. Order from 343 pages, July 1990 American Mathematical Society P.O. Box 1571, Annex Station Price $50 (hardcover), Price $35 (softcover) Providence, RI 02901-1571 To order please specify REDH/NA (hardcover), or call toll free 800-321-4AMS (321-4267) in the continental REDS/NA (softcover) U.S. and Canada to charge with VISA or MasterCard. 1298 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Classified Advertisements SUGGESTED USES for classified advertising are positions available, books or lecture notes eas may also be considered. Applicants for for sale, books being sought, exchange or rental of houses, and typing services. Assistant Professor should have or expect THE 1990 RATE IS $50.00 per inch on a single column (one-inch minimum), calculated to have a Ph.D. or the equivalent by August from the top of the type; $22 for each additional If2 inch or fraction thereof. No discounts 16, 1991. Excellence in both teaching and for multiple ads or the same ad in consecutive issues. For an additional $10 charge, research is required. Applications for visiting announcements can be placed anonymously. Correspondence will be forwarded. positions may also be considered. Women Advertisements in the "Positions Available" classified section will be set with a minimum and minorities are particularly encouraged one-line headline, consisting of the institution name above body copy, unless additional to apply. Send a curriculum vitae, reprints headline copy is specified by the advertiser. Advertisements in other sections of the classified and/or preprints, and at least three letters pages will be set according to the advertisement insertion. Headlines will be centered in of recommendation to: Search Committee, boldface at no extra charge. Classified rates are calculated from top of type in headline to Department of Mathematics, The University bottom of type in body copy, including lines and spaces within. Any fractional text will be of Alabama, Box 870350, Tuscaloosa, AL charged at the next If2 inch rate. Ads will appear in the language in which they are submitted. 35487-0350. UA is an AA/EOE. Prepayment is required of individuals but not of institutions. There are no member discounts for classified ads. Dictation over the telephone will not be accepted for classified advertising. DEADLINES are listed on the inside front cover or may be obtained from the AMS Advertising Department. U. S. LAWS PROHIBIT discrimination in employment on the basis of color, age, sex, race, ARIZONA religion or national origin. "Positions Available" advertisements from institutions outside the U. S. cannot be published unless they are accompanied by a statement that the institution NORTHERN ARIZONA UNIVERSITY does not discriminate on these grounds whether or not it is subject to U. S. laws. Details Flagstaff, Arizona and specific wording may be found near the Classified Advertisements in the February and July I August issues of the Notices. The Department of Mathematics announces SITUATIONS WANTED ADVERTISEMENTS from involuntarily unemployed mathematicians tenure-track openings in mathematics, math are accepted under certain conditions for free publication. Call toll-free 800-321-4AMS ematics education and statistics for Fall 1991. (321-4267) in the U.S. and Canada for further information. Ordinary Differential Equations. Assistant SEND AD AND CHECK TO: Advertising Department, AMS, P.O. Box 6248, Providence, Professor with specialty in the geometric Rhode Island 02940. AMS location for express delivery packages is 201 Charles Street, theory of dynamical systems supporting work Providence, Rhode Island 02904. Individuals are requested to pay in advance, institutions of our existing special research focus. Current are not required to do so. AMS FAX 401-331-3842. research of this group concentrates on planar systems with polynomial right hand sides and bifurcation theory. Mathematics Education. (1) Professor AUBURN UNIVERSITY POSITIONS AVAILABLE with commensurate record of research, lead Division of Mathematics ership at the university and regional or na Department of Foundations, tional levels, and experience with teacher ALABAMA Analysis and Topology education programs. (2) Assistant Profes AUBURN UNIVERSITY We anticipate visiting positions at various sor. Specialty in the use of technology in Department of Algebra, ranks and possibly a tenure-track position, all instruction is preferred, but all areas will be Combinatoric& and Analysis beginning Fall1991. Primary consideration will considered. be given to mathematicians whose research is Statistics. Assistant Professor with strong Applicants in combinatorics are sought for compatible with that of the current faculty. A theoretical background, interest in applied a tenure-track appointment at the rank of Ph.D. in mathematics or equivalent is required statistics and intramural consulting, and the assistant professor expected to be made for the position. Closing date for applications ability to contribute to the development of an beginning September 1991. Preference given is January 13, 1991, or until the positions are interactive research group. to candidates in discrete optimization, coding filled. Each requires a doctorate, demonstrated theory, cryptology, extremal set theory, or Applicants should submit a vita and have potential for a productive, quality research association schemes. three letters of reference sent to George program, and substantial evidence of high Some temporary one-year appointments Kozlowski, Head; Department of Foundations, quality teaching. at the rank of assistant professor are also Analysis and Topology; Auburn University, AL Flagstaff is located in the cool pine forests expected beginning September 1991. Pref 36849-5310. of Northern Arizona, near high mountains, the erence given to applicants in differential Auburn University is an equal opportu Grand Canyon and numerous other natural at equations. Those in algebra, analysis, com nity, affirmative action employer. Women and tractions. NAU has an on-campus enrollment binatorics, linear algebra or probability con minority candidates are encouraged to apply. of approximately 14,000. The Department of sidered. Research interests compatible with 34 faculty offers bachelor's and master's current faculty. degree programs. Excellence required in both teaching and UNIVERSITY OF ALABAMA Send vita and direct three letters of ref research for all positions. Send resume and THE Math Faculty Positions erence to: Screening Committee, Department arrange for at least three letters of recom of Mathematics, PO Box 5717, Northern Ari mendation to be sent to James Wall, 120 Math The department expects to fill two, or possi zona University, Flagstaff, AZ 86011. The Annex, Auburn University, AL 36849-5307. Mi bly more, tenure-track positions at the rank searches will remain open until the positions norities and women are encouraged to apply. of Assistant Professor or higher beginning are filled; however, the Screening Committee Auburn University is an Equal Opportunity I August 16, 1991. Areas for specific consid will begin reviewing applications on January Affirmative Action Employer. eration include mathematical statistics and 7, 1991. Northern Arizona University is an topology. Outstanding candidates in other ar- Equal Opportunity 1Affirmative Action lnstitu- NOVEMBER 1990, VOLUME 37, NUMBER 9 1299 Classified Advertisements tion. Women and minorities are encouraged W. Temple Ave., Pomona, CA 91768-4033. Prof. preferred. Send resume, transcripts, 3 to apply (714)869-3467. EOE/AA. reference letters to Samuel G. Councilman, Chair, Math Dept., CSU Long Beach, CA 90840-4502. Position open until filled, selec CALIFORNIA STATE UNIVERSITY, tion begins 12/1/90. CSULB is an Equal HAYWARD Opportunity I Affirmative Action/Title IX Em UNIVERSITY OF ARIZONA Dept. of Mathematics & Computer Science ployer. Department of Mathematics Tucson, Arizona 85721 Department invites applications for entry level tenure-track Assistant Professor position in The Mathematics Department at the University mathematics beginning Fall 91. Applicants of Arizona is happy to announce several should hold Ph.D. degree in mathematics, positions which will be available beginning be committed to excellence in teaching, ex CALIFORNIA STATE UNIVERSITY Fall 1991. hibit competence and potential to engage in SACRAMENTO ' Tenure-track positions. Excellent research professional activities including research and record or potential, strong commitment to (Asst. or Assoc. publication. All areas of specialization will One tenure-track position teaching required. Fields should complement at a step appropriate to be considered, including mathematics educa Prof.) for Fall 1991, but not duplicate existing department re tion. The department enrolls more than 700 the applicant's experience. Must have Ph.D. search strengths in algebra, arithmetic geom majors in its four degree programs: B.S. in in Math or Statistics by Sept. 1, 1991. Salary etry, computational science, differential equa Applicants should Mathematics, B.S. in Computer Science and range begins at $33,192. tions, dynamical systems, fluid mechanics, M.S. in both disciplines. Please send resume be committed to excellence in teaching (12 differential geometry, mathematical physics, and three references to Mathematics Fac units/semester) and must have some back nonlinear analysis, nonlinear science, number ulty Search Committee, Dept. of Mathematics ground and a willingness to work in the area theory, and probability. teacher prepa & Computer Science, California State Uni of elementary and secondary Postdoctoral Fellowships (Research As graduate transcripts, and versity, Hayward, Hayward, CA 94542-3092. ration. Send vita, sociate). Applicants with strengths in all ar (at least one comment Applications received by Jan. 1, 1991 will three letters of rec. eas compatible with department interests, be assured full consideration. Applications ing on teaching ability), by 1/31/91, to Hiring but specifically geometry and mathematical Stat Dept., Sacramento, will be accepted until position is filled. Posi Committee, Math and physics are encouraged to respond. In ad dept. is committed to tion #91-92 MATH-TT-1. CSUH is an Equal CA 95819-6051. The dition, special Center of Excellence Awards of its faculty and en Opportunity I Affirmative Action Employer. improving the diversity in nonlinear optics and fluid mechanics are courages qualified women, underrepresented available. ethnic minorities, disabled individuals, and The Mathematics Department will also Vietnam-era veterans to apply. AA/EOE. have several visiting positions for next year. CALIFORNIA STATE UNIVERSITY We encourage early application. Deadline AT LOS ANGELES date will be February 1, 1991 or when The Department of Mathematics and Com ever positions are filled. Women and minority puter Science invites applications for two applicants are especially welcome. Send ap tenure track positions at the assistant or plications to: CALIFORNIA STATE UNIVERSITY associate level for a starting date of late Alan C. Newell, Head SAN BERNARDINO June or September 1991. Our main area's Department of Mathematics Department of Mathematics of interest are Geometry, Combinatorics and University of Arizona Math Education. Ph.D. required (ABD in Math Tucson, Arizona 87521, USA Applications are being accepted for the po Education will be considered). Considerations The University of Arizona is an Affirmative sition of Assistant Professor or Associate will start February 1, 1991. Send inquiries to: Action/Equal Opportunity Employer. Professor (tenure-track); a Ph.D. in mathe Marshall Cates, Chair matics education with at least a bachelor's Department of Mathematics and degree in mathematics is required. Successful Computer Science candidates will be expected to teach twelve California State University at Los hours per week, participate in scholarly activi Angeles CALIFORNIA ties, and help implement a new MAT program. 5151 State University Drive Current salary range is $30,276-$52,896 de CALIFORNIA STATE Los Angeles, CA 90032 pendent upon qualifications and experience. POLYTECHNIC UNIVERSITY An Equal Opportunity, Affirmative Action, Applicants should submit a letter of appli Handicapped Title IX Employer. cation, vita, three letters of recommendation Tenure-track position in Mathematics at the and all transcripts. Applications received af assistant professor level, salary dependent ter February 1, 1991, cannot be guaranteed upon qualifications, Doctorate in Mathematics CALIFORNIA STATE UNIVERSITY, consideration. Materials should be sent to: or equivalent degree. Evidence of potential for LONG BEACH Dr. John Sarli excellent teaching and scholarly research re Chair, Department of Mathematics q~ired. Preference for mathematical modeling, Tenure-track position Statistics, begin Fall California State University history of mathematics, algebraic geometry 1991: Requires Ph.D. Math, Applied Math or 5500 University Parkway or mathematical physics. Application, resume, Statistics; strong coursework math, research San Bernardino, California 92407 copy of transcripts and three current letters interests stat; evidence effective teaching and AN EQUAL OPPORTUNITY/AFFIRMATIVE of reference to be postmarked by 1 /31 /91. strong research potential; knowledge actu ACTION, SECTION 504, TITLE IX EMPLOYER For additional information or to apply contact: arial math desirable. Teach 3-4 classes per Search Committee, Mathematics Department, semester undergrad math and stat, MA-Ievel California State Polytechnic University, 3801 stat; research in specialty. Asst. or Assoc. 1300 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Classified Advertisements POMONA COLLEGE Employer, and welcomes applications from ysis, applied mathematics, foundations, or Claremont, CA women and minorities. geometry and topology. Demonstrated lead ership in research is expected of applicants. Pomona College seeks to hire a tenure-track Applicants should send a curriculum vitae, list Assistant Professor of Mathematics, prefer STANFORD UNIVERSITY of publications, a few selected reprints or pre ably with postdoctoral experience. Excellent Department of Mathematics prints, and the names of three references to candidates from all fields of mathematics will The Vice Chair for Faculty Affairs at the above be seriously considered, but preference will The department expects to make one or address. We should receive this material no be given to applied mathematicians. Pomona more tenure-track or tenured appointments later than January 15, 1991. The University of College, a highly selective liberal arts college beginning September 1991 among the fol California is an Equal Opportunity I Affirmative with intellectually gifted students, is one of the lowing fields: (1) analysis, (2) geometry or Action Employer. Claremont Colleges, which together provide topology, (3) algebra, number theory, or logic, an active professional community of over 30 (4) applied mathematics or probability; in the mathematicians, an excellent research library, last case there are also possibilities for joint weekly Mathematics Colloquia, research sem appointments with other departments. At the inars, and clinics in applied mathematics. We tenured level, preference will go to individuals UNIVERSITY OF CALIFORNIA are looking for someone who can continue in the early years of their ranks, though a AT BERKELEY Pomona's tradition of excellent and innova more senior appointment may be possible for Department of Mathematics tive teaching and who will actively participate an extremely well-qualified individual. Berkeley, CA 94720 in the mathematical life of the Claremont Candidates should send a letter of appli ASSISTANT PROFESSORSHIPS Colleges. cation and a curriculum vitae with a list of Applications are to be sent to: The publications, and arrange to have three let We invite applications for one or more po Search Committee, Department of Mathemat ters of recommendation and some evidence sitions effective July 1, 1991, at the tenure ics, Pomona College, Claremont, CA 91711- of commitment to excellence in teaching sent track Assistant Professor level, subject to 6348. Applications received by January 31, to Prof. Solomon Feferman, Chairman, De budgetary approval, in the areas of algebra, 1991, will be given full consideration. Appli partment of Mathematics, Stanford University, analysis, applied mathematics, foundations, cations must include a vita and letters of Stanford, CA 94305-2125, by January 1, 1991. or geometry and topology. Applicants are recommendation, including letters evaluating Stanford is an Equal Opportunity I Affirma expected to have demonstrated outstanding teaching, graduate school transcripts, and a tive Action Employer, and welcomes applica research potential, normally including major description, written for the non-specialist, of tions from women and minorities. contributions beyond the doctoral disserta research accomplishments and plans. Please tion. Applicants should send a resume, and let us know if you will be attending the reprints or preprints, andfor dissertation ab January AMS meeting in San Francisco. stract, and ask three people to send letters of UNIVERSITY OF CALIFORNIA, BERKELEY Pomona College is an Affirmative Action/ recommendation to The Vice Chair for Fac Department of Statistics Equal Opportunity Employer and encourages ulty Affairs at the above address. We should applications from minority candidates and Pending final budgetary approval, applications receive this material no later than January 15, women. are invited for several special Neyman Visit 1991. The University of California is an Equal ing Assistant Professor positions, beginning Opportunity1 Affirmative Action Employer. Fall 1991 or Spring 1992. The appointment is of two-year duration (but can be shorter STANFORD UNIVERSITY by mutual agreement) and is not renewable. Department of Mathematics Applicants should have exhibited exceptional research potential in any of the following UNIVERSITY OF CALIFORNIA Assistant Professorships in honor of Gabor areas: Theoretical or applied statistics, com AT BERKELEY Szego. The department expects to make putational statistics, probability theory, ap Department of Mathematics three or more appointments in 1991-92 for a plied probability. Appointees will be expected Berkeley, CA 94720 term of two years. Applicants are expected to teach as well as carry out a vigorous CHARLES B. MORREY, JR. to show outstanding promise in research and program of research. Send applications or ASSISTANT PROFESSORSHIPS clear evidence of achievement. They should inquiries (including resume and names of have received the Ph.D. prior to the start of three references) by January 31, 1991 to: We invite applications for these special two the appointment but not before 1989. Stan T. P. Speed, Chair, Department of Statistics, year (non-tenure-track) positions effective ford is committed to excellence in teaching, University of California, Berkeley, California July 1, 1991. Applicants should have a recent algebra, analysis, ap and applicants should count this as one of 94720. The University of California is an Equal Ph.D. in the areas of their goals. The teaching load consists of four Opportunity, Affirmative Action Employer. plied mathematics, foundations, or geometry 3-hour quarterly courses, and may include and topology, and should have demonstrated graduate courses. The nine-month salary for superior research potential. Applicants should send a resume, and reprints, preprints andfor 1991-1992 will be at least $33,000. Candi UNIVERSITY OF CALIFORNIA dates should send a letter of application with dissertation abstract, and ask three people AT BERKELEY to send letters of recommendation to The a curriculum vitae, a list of publications and Department of Mathematics information concerning teaching experience, Vice Chair for Faculty Affairs at the above Berkeley, CA 94720 address. We should receive this material no and should arrange to have three letters TENURED POSITION of recommendation sent to Prof. Solomon later than January 15, 1991. The University of Feferman, Chairman, Department of Math We invite applications for one or more po California is an Equal Opportunity I Affirmative ematics, Stanford University, Stanford, CA sitions effective July 1, 1991, at tenure level Action Employer. 94305-2125, by January 1, 1991. Stanford (Associate or full Professor), subject to bud is an Affirmative Action/Equal Opportunity getary approval, in the areas of algebra, anal- NOVEMBER 1990, VOLUME 37, NUMBER 9 1301 Classified Advertisements UNIVERSITY OF CALIFORNIA faculty and student body as it responds to the Very strong promise in research and teach AT BERKELEY changing population and educational needs of ing required. Positions initially budgeted at Department of Mathematics California and the nation. As a consequence, the assistant professor level. Sufficiently out Berkeley, CA 94720 we are especially interested in attracting per standing candidates at higher levels will also TEMPORARY POSTDOCTORAL POSITIONS sons from groups currently underrepresented be considered. Teaching load: averaging 1.5 on the campus. Our commitment demands courses per quarter, or 4.5 quarter courses Several temporary positions beginning in Fall that, irrespective of age andjor sexual prefer per year. To apply, write to Alfred W. Hales, 1991 are anticipated for new and recent ence, we pay special attention to applications Chair, Department of Mathematics, University Ph.D.'s of any age, in the areas of algebra, from women, persons of color and persons of California, Los Angeles, CA 90024-1555. analysis, applied mathematics, foundations, with disabilities. Attn: Staff Search. UCLA is an equal oppor or geometry and topology. The terms of tunity /affirmative action employer. these appointments may range from one to three years. Applicants for NSF or other UNIVERSITY OF CALIFORNIA, IRVINE postdoctoral fellowships are encouraged to Department of Mathematics apply for these positions; combined teach Irvine, CA 92717 UNIVERSITY OF CALIFORNIA ing/research appointments may be made for LOS ANGELES up to three years. Mathematicians whose re The University of California at Irvine has made Department of Mathematics search interests are close to those of regular a significant commitment for the development department members will be given some pref of the mathematics department. A number of TEMPORARY POSITIONS erence. Applicants should send a resume, faculty appointments will be made over the (1) Two E. R. Hedrick Assistant Profes and reprints, preprints, and/or dissertation next few years. These include: sorships. Applicants must show very strong abstract, and ask three people to send letters 1. At least five full time positions at any promise in research and teaching. Salary of recommendation to the Vice Chair for Fac of the tenured professorial levels. The De $38,500. Three year appointment. Teaching ulty Affairs at the above address. We should partment is particularly interested in areas load: four quarter courses per year, which receive this material no later than January 15, of Algebra, Analysis, Applied Mathematics, may include one advanced course in the 1991. The University of California is an Equal Geometry, Mathematical Physics, Numeri candidate's field. Preference will be given to Opportunity1 Affirmative Action Employer. cal Analysis-Scientific Computing, Probabil applications completed by January 1, 1991. ity, Statistics and Topology. Selection will be (2) Subject to administrative approval, sev based on research experience and teaching eral Research Assistant Professorships in UNIVERSITY OF CALIFORNIA, DAVIS ability. Computational and Applied Mathematics. Ap Faculty Positions in Mathematics 2. At least one full time tenure-track As plicants must show very strong promise in sistant Professor position. Candidates must research and teaching. Salary $38,500. One Applications are invited for three or more have a Ph.D. and a research record either in year appointment, probably renewable up to anticipated tenure-track positions in the De Mathematical Physics or Differential Geome two times. Teaching load: at most four quar partment of Mathematics, University of Cal try. ter courses per year, which may include one ifornia, Davis, effective July 1, 1991. These Applications must include curriculum vitae, advanced course in the candidate's field. Pref positions are contingent on budgetary ap bibliography and three letters of reference. erence will be given to applications completed proval. Appointments will be made at As The COMMITTEE ON STAFFING will solicit by January 1, 1991. sistant Professor level commensurate with supplementary letters of reference. Please (3) Subject to administrative approval, one qualifications. Qualifications include a Ph.D. send applications to the COMMITTEE ON or two Assistant Professorships in the Pro and great promise in teaching and research. STAFFING at the above address. gram in Computing (PIC). Applicants must Duties include undergraduate and graduate UC Irvine is an Affirmative Action/Equal show very strong promise in teaching and re teaching and mathematical research. Opportunity Employer. The Department of search, preferably in the general area of Logic We are primarily interested in applicants Mathematics welcomes applications from and Computation. Teaching load: four quarter in one or more of the following areas. women and minority candidates. programming courses and an advanced quar Applicants should indicate in which area(s) ter course of the candidate's choice per year. they are applying. Two-year appointment, possibly renewable 1. Mathematical Biology UNIVERSITY OF CALIFORNIA once. Salary range: $38,500-$44,000. Prefer 2. Stochastic Analysis and Stochastic LOS ANGELES ence will be given to applications completed PDEs Department of Mathematics by February 1, 1991. 3. Elliptic PDEs and Functional Analysis (4) Subject to administrative approval, one 4. Non-Linear Dynamics REGULAR POSITIONS IN PURE AND AP or two Lectureships in the Program in Com 5. Applied Analysis PLIED MATHEMATICS puting (PIC). Applicants must show very To receive full consideration, applications Subject to administrative approval, two strong promise in the teaching of program should be received by December 15, 1990. regular positions in pure and applied math ming. M.S. in Computer Science or equivalent Applications will be accepted until January ematics. The six specific search areas are degree preferred. Teaching load: five quar 31, 1991, if the positions are not filled early. as follows: 1) logic and mathematical com ter programming courses per year. One-year An application consists of a curriculum vitae, puter science; 2) algebra (including algebraic appointment, possibly renewable up to five list of publications, and at least three letters geometry and representation theory), num times, depending on the needs of the Pro of reference sent to ber theory and combinatorics; 3) geometry gram. Salary is based on experience and Chair of Search Committee and topology (including dynamical systems begins at $32,676. Preference will be given to Department of Mathematics and geometric partial differential equations); applications completed by February 1, 1991. University of California 4) analysis and differential equations (includ (5) Subject to administrative approval, a Davis, California 95616-8633 ing Lie groups and mathematical physics); few Adjunct Assistant Professorships. One The College of Letters and Science at UC 5) statistics, probability and game theory; year appointments, probably renewable once. Davis is committed to building a more diverse 6) applied and computational mathematics. Strong research and teaching background 1302 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Classified Advertisements required. Salary $33,900-$38,200. Teaching UNIVERSITY OF CALIFORNIA, RIVERSIDE in extraordinary circumstances. Applications load: five quarter courses per year. Position in Algebra or Combinatorics should be completed by January 21, 1990. (6) Subject to administrative approval, sev The University of Colorado has a strong are invited for eral positions for visitors and lecturers. Applications and nominations institutional commitment to the principle of or Com To apply, write to Alfred W. Hales, Chair, a tenure-track position in Algebra diversity in all areas. In that spirit, we are 1991 or later. Department of Mathematics, University of binatorics beginning July 1, particularly interested in receiving applications Professor California, Los Angeles, CA 90024-1555. Attn: The position is at the Assistant from a broad spectrum of people, including of Algebra and Staff Search. UCLA is an equal opportu level; candidates in all areas women, members of ethnic minorities and Excellence nity/affirmative action employer. Combinatorics will be considered. disabled individuals. in research and teaching is required. Estab Applications, including a resume and four lished criteria of the University of California letters of reference, should be sent to: New determine salary. To assure full considera Appointments, Department of Mathematics, tion, applicants should send their curriculum Campus Box 426, University of Colorado, vita and list of publications and have at least Boulder, CO 80309-0426. EOE/ AA UNIVERSITY OF CALIFORNIA, RIVERSIDE three letters of recommendation sent to: Position in Analysis Professor Richard Block, Chair AlgebrajCombinatorics Hiring Applications and nominations are invited for Committee a tenure-track position in Analysis beginning UNIVERSITY OF COLORADO AT Department of Mathematics July 1, 1991 or later. The position is at the COLORADO SPRINGS University of California Assistant Professor level; candidates in all Department of Mathematics Riverside, CA 92521-0135 areas of classical and modern analysis (in Colorado Springs, CO 80933-7150 by January 22, 1991. UCR is an Affirmative cluding probability theory) will be considered. Action/Equal Opportunity Employer. Applications are invited for a tenure-track Excellence in research and teaching is re Assistant Professor position for Fall 1991. quired. Established criteria of the University Preferred area of research interest: probabil of California determine salary. To assure full ity theory. However, consideration will also consideration, applicants should send their be given to exceptionally strong candidates curriculum vita and list of publications and UNIVERSITY OF SOUTHERN CALIFORNIA if their area of expertise is consistent with have at least three letters of recommendation Los Angeles, California present research interests: harmonic anal sent to: ysis, computer vision and algebra. Current Professor David Rush, Chair The Department of Mathematics wishes to fill faculty expertise in probability theory includes Analysis Hiring Committee several tenure-track Assistant Professorships perculation theory, population genetics and Department of Mathematics and possibly tenured positions at Associate theory of large deviations. Applicants should University of California Professor and Professor. Visiting positions have significant research accomplishments or Riverside, CA 92521-0135 (at all levels) and postdoctoral appointments exceptional research promise and evidence by January 21, 1991. UCR is an Affirmative will also be available. The department is par of good teaching. Ph.D. is required. The av Action/Equal Opportunity Employer. ticularly interested in applicants who work erage weekly teaching load is 7 1/2 hours. in the areas of: Algebraic Geometry, Anal Generous support for faculty development ysis, Geometry, Number Theory, Numerical such as travel, teaching off-loads, and sum Analysis, Partial Differential Equations, and mer research. Send resume and 3 letters of Statistics, but strong candidates in all areas reference to K. M. Rangaswamy, Chairman. are encouraged to apply. UNIVERSITY OF CALIFORNIA, RIVERSIDE Screening will begin on Feb. 1, 1991 and Applicants for assistant professorships Position in Geometric Analysis continue until filled. must show strong research promise. Ap Applications and nominations are invited for plicants for senior positions must have an a tenured or tenure-track position in Geo outstanding record of research and scholas metric Analysis beginning July 1, 1991 or tic achievement. Address inquiries to: Chair later. The position is at the rank of Assis of Appointments Committee, Department of CONNECTICUT tant or Associate Professor; candidates in all Mathematics-ORB 155, University of South areas of geometric analysis will be consid ern California, Los Angeles, CA 90089-1113. TRINITY COLLEGE USC is an Equal Opportunity1 Affirmative Ac ered. Excellence in research and teaching is The Department of Mathematics at Trinity tion Employer. Women and minorities are required. Established criteria of the University College invites applications for a tenure-track especially encouraged to apply. of California determine salary and rank. To position, at the rank of assistant profes assure full consideration, applicants should sor, beginning in the academic year '91-'92. send their curriculum vita and list of pub The normal teaching load is five semester lications and have at least three letters of courses per year ("3/2"). While we will be recommendation sent to: happy to receive applications from those with Professor Bun Wong, Chair COLORADO any specialty, we will be particularly inter Geometric Analysis Hiring Committee ested in algebraists, logicians, and persons UNIVERSITY OF COLORADO AT BOULDER Department of Mathematics research interests might intersect with Department of Mathematics whose University of California current department members' areas: com Riverside, CA 92521-0135 Applications are invited for a faculty position plex analysis, functional analysis, geometry, by January 21, 1991. UCR is an Affirmative in differential geometry as related to analysis, graph theory, combinatorics, and mathemati Action/Equal Opportunity Employer. to begin in the fall of 1991. Applications at cal statistics. Requirements for the position: the Assistant Professor level are strongly Ph.D. in mathematics, evidence of teaching preferred but other levels will be considered excellence at the undergraduate level, indica- NOVEMBER 1990, VOLUME 37, NUMBER 9 1303 Classified Advertisements tions of promise in research, and interest in sity of 2500 students. Its three schools-the curriculum development. FLORIDA College of Arts and Sciences, the School of Applicants should send a c.v., three letters Business, and the School of Music-are dedi EMBRY-RIDDLE AERONAUTICAL of reference (at least one of which addresses cated to excellence in teaching and are united UNIVERSITY teaching) and a statement of teaching and by a commitment to the liberal arts. Send Department of Mathematics research interests to vitae and three letters of recommendation and Physical Science Search Committee Chair to: Professor Dennis Kletzing, Department of Daytona Beach, Florida 32114-3900 Dept. of Mathematics Mathematics and Computer Science, Stetson Trinity College Applications are invited for a tenure-track University, Deland, Florida 32720. Deadline Hartford, CT 06106 Assistant Professor position beginning in Au for applications is December 31, 1990, or No decision will be made prior to January gust 1991. A Ph.D. in Applied Mathematics is until position is filled. Stetson University is 21 after which the position may be filled at required, and a commitment to teaching excel an equal opportunity employer and enthusi any time. lence and scholarly activities is essential. The astically solicits applications from women and Representatives of the Department will normal teaching load is twelve credit hours minorities candidates. attend the employment register at the joint per semester. The Daytona Beach Campus Annual Meetings in San Francisco in January has 5200 students and twenty full-time math 1991. faculty. The department offers a BS degree UNIVERSITY OF CENTRAL FLORIDA Trinity College is an Equal Opportunity f in Engineering Physics and provides support Department of Mathematics Affirmative Action Employer. Women and courses for all other academic programs. members of minority groups are especially Send letter of application, resume, transcripts Applications are invited for at least three encouraged to apply. (unofficial), and three letters of reference tenured track positions at Full, Associate, As to: Chair, Department of Mathematics and sistant Professor level beginning August 1991. Physical Science, cjo Human Resources Ph.D. degree in Mathematics with strong re Dept., Embry-Riddle Aeronautical University, search record and dedication to teaching Daytona Beach, FL 32114-3900. Application required for appointment at Professor or deadline: February 15th, 1991. Women and Associate Professor level. Candidates with DISTRICT OF COLUMBIA minority group members are encouraged to substantial completion of Ph.D. requirements apply. Equal Opportunity Employer. with strong teaching and research potential THE GEORGE WASHINGTON UNIVERSITY will be considered for the Assistant Profes Department of Mathematics sor level. These appointments will be made Washington, D.C. 20052 FLORIDA STATE UNIVERSITY preferably in the areas of graph theory and Tenure-track assistant professorships avail combinatorics, numerical analysis, computa able beginning August 1991, pending funding, Three positions at the rank of assistant pro tional mathematics, ordinary or partial differ for applicants in Geometry/Topology, Applied fessor are anticipated. The deadline for appli ential equations, integral equations, applied Mathematics, Ergodic Theory & Dynamics, or cation is January 15, 1991, and appointments functional analysis, or applied mathematics. Mathematical Logic. Other outstanding candi would begin August 1991. Current members However, other areas of specialization may dates will also be considered. Strong research of the department engage in research in be considered provided there are no strong potential and a commitment to excellence in algebra, analysis, applied and computational candidates with preferred research areas. teaching required. Send resume and three mathematics, and topology. The candidate Candidates should send a detailed resume letters of recommendation to: Irving J. Katz, should have potential for excellence in re and arrange at least three letters of rec Chairman, Department of Mathematics, The search and teaching. Please send resume ommendation and transcript sent to: Search George Washington University, Washington, and arrange for three letters of recommenda Committee Chairman, Department of Mathe D.C. 20052, by February 1, 1991. The George tion to be sent to Fred Kreimer, Department matics, University of Central Florida, Orlando, Washington University is an Equal Opportu of Mathematics, B-154, Florida State Univer Florida 32816, postmarked by December 3, nity I Affirmative Action Employer. sity, Tallahassee, Florida 32306-3027. Florida 1990. Some Search Committee members may State University is an Equal Opportunity1 be available at the San Francisco meeting in Affirmative Action Employer. January 1991 for an interview. The Univer sity is an equal opportunity affirmative action employer. As an agency of the State of STETSON UNIVERSITY Florida, UCF makes all application materials HOWARD UNIVERSITY Department of Mathematics and selection procedures available for public review. Mathematics: Both visiting and tenure-track and Computer Science positions are anticipated (rank open) for Applications are invited for a tenure track 1991-92. Ph.D., demonstrated excellence in position in mathematics at the Assistant Pro THE UNIVERSITY OF FLORIDA teaching and active participation in research fessor level beginning Fall, 1991. A Ph.D. in required. We encourage applicants in sta Department of Mathematics mathematics is required. Applicants should tistics, algebra and in algebraic geometry, have a strong commitment to undergradu In each of the next several years, the De but other applications are welcome. Send re ate teaching in a liberal arts environment. partment of Mathematics intends to fill a sume and direct three letters of reference to: Teaching load: 9-10 hrsjwk. Responsibilities number of tenure-track faculty positions with Chairman, Mathematics Department, Howard include teaching mathematics courses at all mathematicians of exceptional caliber. In the University, Washington, D.C. 20059. Deadline: levels of the undergraduate curriculum, and coming year, special consideration will be December 31, 1990. Howard University is an continuing scholarly activity. The department given to filling positions in the following areas Equal Opportunity Employer. currently has 10 full-time faculty members. of research: algebraic geometry and num Stetson University, located in Central Florida, ber theory, topology, numerical analysis, and is a small, private, comprehensive univer- probability theory. However, outstanding can- 1304 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Classified Advertisements didates from all areas of pure and applied tics, at various levels beginning in Fall 1991. Professor beginning August 1991. Candidates mathematics are invited to apply for these Candidates with strong research and teaching should have a strong commitment to under positions. records or potential should send a resume, graduate teaching. The Ph.D. is required, and Candidates at all ranks will receive serious at least three letters of reference, and a sum continuing professional growth (publication) consideration, but it is expected that most mary of future research plans to The Hiring is required for tenure and advancement. Or positions will be filled at the level of assistant Committee, School of Mathematics, Geor dered preference will be given to applicants professor. Applications from junior candidates gia Institute of Technology, Atlanta, Georgia in the fields of applied statistics, geometric with post-doctoral experience are especially 30332-0160. Georgia Tech, a member of the topology, and commutative algebra. Salary is welcome. University System of Georgia, is an Equal competitive. The closing date is January 21, Senior candidates should have distin Opportunity 1Affirmative Action Employer. 1991, or until the position is filled. Other po guished research records, and junior can sitions may become available at a later date. didates are expected to have made significant Send Letter of application, vita, and three or research contributions. Every candidate is UNIVERSITY OF GEORGIA more letters of recommendation to: Dr. T. expected to possess a strong commitment Department of Mathematics V. Sastry, Search Committee, Department of to teaching. Candidates should forward a Athens, GA 30602 Mathematics, Bradley University, Peoria, IL resume (including a list of publications) and 61625. Bradley University is an AA/EO em should arrange for at least four letters of The department has tenure-track positions ployer. Women and minorities are encouraged recommendation to be sent to: available for the 1991-92 academic year at to apply. David A. Drake, Chair the assistant professor level. In addition there Department of Mathematics may be some visiting positions available. The University of Florida salary will be commensurate with the appli 201 Walker Hall cant's abilities and experience. The principle Gainesville, FL 32611-2082 requirement is excellence in teaching and All applications for the academic year 1991- research. Some preference will be given to UNIVERSITY OF ILLINOIS AT 92 should be complete by December 31, areas in which the department is already URBANA-CHAMPAIGN 1990. The University of Florida is an equal well represented. Send curriculum vitae and Department of Mathematics opportunity employer and energetically so four letters of recommendation to Richard licites applications from women and minority E. Bouldin Head (address above) by Jan Applications are invited for one or more candidates. uary 15, 1991. UGA is an Equal Opportunity I tenure-track or tenured faculty positions com Affirmative Action Employer. mencing in August 1991. While we are par ticularly interested in the areas of applied NEW COLLEGE OF USF mathematics, combinatorics, and optimiza tion, outstanding candidates in all fields of Tenure-track position in Mathematics starting HAWAII mathematics are strongly encouraged to ap Fall, 1991, pending budgetary approval. Du UNIVERSITY OF HAWAII ply and will be seriously considered. Some ties consist of two classes per semester, plus Department of Mathematics visiting appointments for the 1991-92 aca individual or group tutorials and supervising demic year are also anticipated. Salary and senior theses (these are required for all stu Applications are invited for some anticipated teaching load are competitive. Candidates dents). New College is a small, highly selec positions beginning Fall 1991 or Spring must have completed the Ph.D. by the time tive liberal arts college with a student/faculty 1992, one tenure-track and some tempo the appointment begins. Candidates should ratio of 10:1. We have a system of contracts rary. Rank open. Duties include mathematical send a letter of application, curriculum vitae and written evaluations rather than grades. A research and teaching 6 credit hours per and publication list, and arrange to have three report released by the Independent Colleges semester. Minimum qualifications include a letters of reference sent directly to Office ranks us sixth in productivity of Ph.D.s Ph.D., commitment to research and teach C. Ward Henson, Chair for students who graduated between 1970 ing, and achievement appropriate to rank. Department of Mathematics and 1982. Continuing faculty in Mathematics Research interests complementing those of University of Illinois at are an Analyst, an Algebraist/Computer Sci the Department are desirable. Normal salary Urbana-Champaign entist, and an Algebraic Geometer. Women range as of 7/91 is from $32,364 (minimum 1409 W. Green St. and minority candidates are especially en for assistant professor) to $73,752 (maximum Urbana, Illinois 61801 couraged to apply. Submit application by for full professor). To apply, write to Professor tel. (217)333-3352 January 31 with vita, three letters of recom L. Thomas Ramsey, Chairman, Department In order to ensure full consideration, all appli mendation, and a statement on your teaching of Mathematics, 2565 The Mall, Keller 401 A, cation materials including letters of reference philosophy to Tony Horowitz, Division of Nat Honolulu, HI 96822. Have 3 references send should be received by December 1, 1990. ural Sciences, New College, 5700 N. Tamiami confidential letters directly to the chairman. Interviews may be conducted prior to Decem Trail, Sarasota, FL 34243-2197. New College DEADLINE FOR APPLICATIONS: 01/31/91. ber 1, but all completed applications received of the University of South Florida is an AAEO The University of Hawaii is an Equal Opportu by that date will receive full consideration. employer. nity1 Affirmative Action Employer. Candidates are expected to present evidence of excellence, or potential for excellence, in research and teaching. Applications from women and minority candidates are espe GEORGIA ILLINOIS cially encouraged. The University of Illinois GEORGIA INSTITUTE OF TECHNOLOGY BRADLEY UNIVERSITY is an Affirmative Action/Equal Opportunity Department of Mathematics Employer. The School of Mathematics expects to have some visiting and tenure-track positions in Applications are invited for an entry-level several areas, including probability and statis- tenure-track position at the rank of Assistant NOVEMBER 1990, VOLUME 37, NUMBER 9 1305 Classified Advertisements Applicants should have a doctorate in Math addressed to Prof. Bart S. Ng, Chair, Depart INDIANA ematics or Computer Science, a record of ment of Mathematical Sciences, IUPUI, 1125 successful teaching and research, and a com E. 38th Street, Indianapolis, IN 46205-2810. BALL STATE UNIVERSITY mitment to promoting research, teaching, and Closing date: December 1, 1990. Late ap Muncie, Indiana other scholarly activities. Applicants should plications will be considered until position is Mathematics also possess the leadership skills necessary filled. Tenure-track positions anticipated August to chair a large department which has diverse IUPUI is an Affirmative ActionjEqual Oppor 1991. Ph.D. in pure or applied mathematics teaching and research responsibilities. The tunity Employer required. Specialty is open, though prefer Computer Science area is undergoing active Woman and minority candidates are encour ence will be given to candidates whose re development, so familiarity with Computer age to apply search interests are compatible with those of Science curricular issues is desirable. the present faculty. Present faculty research The Department offers BS and BA degrees interests include differential equations, nu in Mathematics, Mathematics Education and merical analysis, computation, combinatorics Computer Science, as well as MS and MA or combinatorial geometry, low-dimensional degrees in Mathematics and Mathematics IOWA or general topology. Appointment at assis Education. It is developing an MS degree in IOWA STATE UNIVERSITY tant professor level. Successful college or Computer Science. Salary and rank are commensurate with university level teaching level required. Pub The Department of Mathematics of Iowa qualifications and experience., Please send a lications andjor evidence of other scholarly State University invites applications to fill letter of application and vita, and have three productivity desired. Teaching responsibilities three tenure-track positions for the 1991- letters of recommendation sent to: may include introductory classes as well as 92 academic year. Start up funds will be Chairperson Search Committee courses related to specialty area. Salary ne available for the successful applicant for each Department of Mathematics and gotiable. Send resume and three letters of position. The areas of interest and the level Computer Science recommendation to Dr. Hubert J. Ludwig, are (1) a senior position in numerical analysis Indiana State University Faculty Search Committee, Department of or computational mathematics, (2) an entry Terre Haute, IN 47809 Mathematical Sciences, Ball State University, level position in control theory and (3) an The application deadline is January 14, 1991. Muncie, IN 47306. Review of applications will entry level in mathematics education. The Applications received after this date cannot begin December 10, 1990 and continue until successful candidate for each position is be guaranteed consideration. U.S. citizenship position is filled. expected to have a strong interest in teaching or eligibility for U.S. employment will be Ball State University Practices Equal Op at both the graduate and undergraduate level required. Indiana State University is an Equal portunity in Education and Employment. and maintain an active research program in Opportunity Affirmative Action Employer. 1 his or her chosen area. In addition, candidates for the senior position are expected to have BUTLER UNIVERSITY a strong research record, be willing to build a Department of Mathematical Sciences INDIANA UNIVERSITY-PURDUE strong research group in numerical analysis UNIVERSITY AT INDIANAPOLIS (IUPUI) or computational mathematics, to interact A tenure-track position teaching courses in Department of Mathematical Sciences with colleagues in related areas and to seek our undergraduate computer science and outside funds for their research. mathematics majors is available beginning The Department of Mathematical Sciences at We will begin screening applications De Fall 1991. Must have a Ph.D. in computer IUPUI is seeking applicants for a senior posi cember 15, 1990. However we shall continue science or a Ph.D. mathematical science with tion, at the level of full professor, in scientific to accept applications until the positions are at least master's level competency in com computing/numerical analysis. The preferred filled. puter science. Rank and salary are open starting date is January 1, 1991. A later Iowa State University is an Affirmative and will depend on qualifications. Academic starting date is negotiable. The successful Action/Equal Opportunity Employer. Women computing facilities include a VAX 641 0 and candidate is expected to provide leadership to a new interdisciplinary program in compu and minorities are encouraged to apply. numerous Macintosh and IBM compatible Applications and three letters of recom micro-computers. Butler University is a com tational science to be developed jointly by the Department of Mathematical Sciences and mendation should be sent to Howard A. prehensive, medium-sized, liberal arts-based Levine, Chair, Department of Mathematics, institution, with a beautiful campus located the Department of Comptuer & Information Iowa State University, Ames, Iowa 50011. in a residential area of Indianapolis. Send Science. vitae and three letters of recommendation, at Applicants must have an earned doctorate, least one addressing teaching effectiveness, a strong background in applied and numerical by February 1, 1991, to: Professor Prem analysis, a commitment to excellence in teach L. Sharma, Department of Mathematical Sci ing, and a demonstrated record of research UNIVERSITY OF IOWA ences, Butler University, 4600 Sunset Ave., accomplishments. Special preference will be Indianapolis, IN 46208 EOE/AA. given to candidates whose expertise and in The Mathematics Department of the Uni terest are in the development of asymptotics versity of Iowa invites applications for the based numerical methods and their applica following positions: INDIANA STATE UNIVERSITY tions to large-scale scientific problems. 1. Three tenure-track appointments at the Chairperson IUPUI is a rapidly growing comprehensive Assistant or beginning Associate Professor Department of Mathematics urban university with over 26,000 students. level beginning in the 1991-92 academic year. and Computer Science The department offers programs of study One of these is to be in numerical analy leading to Purdue University B.S., M.S., and sis and two are to be filled by specialists in The Department of Mathematics and Com Ph.D. degrees. The university offers compet harmonic analysis or probability theory. Selec puter Science, Indiana State University, invites itive salaries and provides excellent fringe tion will be based on evidence of outstanding applications for the position of Chairperson. benefits. Applications and inquiries should be research accomplishments or potential, and 1306 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Classified Advertisements teaching ability. A Ph.D. or equivalent training is required. KENTUCKY MAINE 2. One senior faculty position beginning MURRAY STATE UNIVERSITY BOWDOIN COLLEGE in 1991-92 academic year or later. Only Department of Mathematics and Statistics Brunswick, Maine 04011 applicants of extraordinary stature will be considered. A strong record of leadership Applications are invited for tenure-track po Mathematics Department: Two tenure-track in teaching and research in one of the sitions at the Assistant/ Associate Professor Assistant Professorships starting Fall, 1991. department's current or developing areas of level beginning August 1991. Preference will Initial appointment for three years with re strength is required. be given to applicants in statistics and math newal possible. Ph.D. required and strong 3. Pending availability of funds, one or more ematics education. research record or potential expected. Field visiting positions for all or part of the 1991- Responsibilities will include a maximum open, but a preference will be given to can 92 academic year. Selection will be based three course teaching load consisting of a didates in applied mathematics for one posi on research expertise and teaching ability. wide variety of undergraduate and graduate tion. Normal teaching load is two courses per Preference will be given to applicants whose level courses, continuing research/scholarly semester. Candidates with record of effective scholarly activity is of particular interest to activities, and university /departmental ser undergraduate teaching preferred. Review of members of the current faculty. vice. A Ph.D. in statistics or a Ph.D. in applied candidates begins 15 January, but applica Women and minority candidates are es mathematics with a statistics background is tions will be considered until both positions pecially urged to apply for any of the above required for the statistics position. The math are filled. Women and minorities are encour positions. The University of Iowa welcomes ematics education position requires a Ph.D. aged to apply. Send resume and 3 letters the employment of highly qualified profes in mathematics education or a Ph.D. in math of recommendation to Wells Johnson, Chair, sional couples on its faculty and staff, permits ematics with a background in mathematics Department of Mathematics, Bowdoin Col the appointment of faculty couples within the education. Salary will be competitive. Screen lege, Brunswick, ME 04011. Bowdoin College same department, and permits the sharing of ing will begin January 14, 1991 and continue is committed to Equal Opportunity through a single appointment by a faculty couple. until the positions are filled. Affirmative Action. Applications will be received until January Applicants who are not U.S. citizens must 31, 1991, or until the positions are filled. To provide their visa status and any other in apply send a complete vita and have three formation relevant to their ability to accept letters of recommendation sent to: employment. MARYLAND Professor W. A. Kirk, Chair Send letter of application with vita, gradu THE JOHNS HOPKINS UNIVERSITY Department of Mathematics ate transcripts or a list of graduate courses University of Iowa taken, and direct three letters of recommen Applications are invited for positions at all Iowa City, Iowa 52242 dation to: levels in fields of interest to the department. The University of Iowa is an Equal Oppor Dr. Robert Pervine, Search Committee Two of the positions represent part of the tunity Affirmative Action Employer. 1 Chair Department's commitment to increase its rep Department of Mathematics and resentation in analysis. Areas of particular Statistics interest are partial differential equations, and Murray State University geometric analysis. Outstanding research ac UNIVERSITY OF NORTHERN IOWA Murray, KY 42071 complishments and commitment to teaching Department Head MSU is an EO/AA employer. are required. Minority and women candidates are encouraged to apply. The Johns Hop Mathematics and Computer Science at the kins University is an affirmative actionjequal University of Northern Iowa, a department opportunity employer. Applications should be with a strong tradition of excellence in teach UNIVERSITY OF LOUISVILLE sent to Search Committee, Department of ing and teacher preparation and a growing Department of Mathematics Mathematics, The Johns Hopkins Univer program of scholarship and research in math sity, Baltimore, Maryland 21218. Applicants in ematics, computer science, and mathematics The Department of Mathematics is seeking statistics & probability, operations research education, is seeking a new department head. applications for at least three (3) entry level & optimization, discrete mathematics, ma Responsibilities include budgeting; faculty as tenure-track positions. Candidates will be trix analysis and numerical analysis should signment, evaluation, & development; external expected to have an active research program contact the Dept. of Mathematical Sciences relations; and some teaching and scholarly in applicable mathematical sciences. Primary which is distinct from the Department of activity. Required characteristics include be teaching responsibilities will involve courses at Mathematics. ing appointable as a full professor in the all levels including general education courses. department, leadership & academic adminis A Doctorate in the Mathematical Sciences is trative skills, and good communication skills. required. Teaching experience is desirable. Appointment will cover the academic year Interested candidates should send a letter THE JOHNS HOPKINS UNIVERSITY plus summer session and begin June or of application, curriculum vitae and at least August, 1991. Yearly salary will be near three letters of recommendation by February Applications are invited for a junior position $70,000 plus excellent fringe benefits. Appli 1, 1991 to: in statistics, to begin in Fall 1991. Selection cation screening begins January 14, 1991. For Dr. Robert B. McFadden is based on demonstration and promise of further information, contact Philip East, Math Chair, Department of Mathematics excellence in research, teaching, and inno ematics and Computer Science, University of University of Louisville vative application. AA/EOE. Applicants are Northern Iowa, Cedar Falls, lA 50614-0506. Louisville, KY 40292 asked to furnish a vita, transcripts, a letter UNI is an Affirmative Action/Equal Opportu The University of Louisville is an Affirmative describing professional interests and aspi nity Educator and Employer. ActionjEqual Opportunity Employer. rations, and arrange for three letters of recommendation to be sent to Prof. John C. Wierman, Chairman, Mathematical Sciences NOVEMBER 1990, VOLUME 37, NUMBER 9 1307 Classified Advertisements Department, The Johns Hopkins University, undergraduate mathematics curriculum and Michigan Univ., Mt. Pleasant, Ml 48859 by Baltimore, MD 21218 some computer science. A Ph.D. in one January 21, 1991. Late applications will be of the Mathematical Sciences or Computer received until the positions are filled. Central Science is required. Applicants should send Michigan University is an Affirmative Action/ in JOHNS HOPKINS UNIVERSITY a letter of application including a brief essay Equal Opportunity Employer. All persons on the role of mathematics in a liberal arts cluding members of minority groups, women, The Mathematical Sciences Department in education, a resume, transcripts, at least three handicapped persons, disabled veterans and vites applications for the 1991-92 ELIEZER letters of recommendation, to Dr. Albert W. veterans of the Vietnam Era are encouraged NADDOR POSTDOCTORAL FELLOWSHIP. Briggs, Jr. at the address above. Evaluation to apply. The Fellow is to be an outstanding grad of candidates will begin in mid-December and uating doctoral student in mathematics, sta continue until the position is filled. Interviews tistics, or operations research, who plans will be conducted at the annual meeting in FERRIS STATE UNIVERSITY an academic research career. The fellowship San Francisco. Washington College is an Head, Department of Mathematics provides full support for 12 months of post equal opportunity employer. doctoral study at the department in an area of Ferris State University invites nominations and interest to some department faculty member, applications for the position of Head of the free from teaching and administrative duties. Department of Mathematics. The Department MASSACHUSETTS Selection is made without discrimination on of Mathematics currently has 22 faculty and education the basis of race, color, religion, sex, or BOSTON UNIVERSITY is responsible for undergraduate and for bac national origin. Applicants should provide a Department of Mathematics in math and computer science current vita, a letter describing career aspira calaureate programs in Applied Mathematics tions and a research plan for the fellowship The Department of Mathematics at Boston and Actuarial Science. QUALIFICATIONS: An year, and transcripts, and should arrange for University invites applications for two antic earned doctorate in Mathematics or Ap three letters of recommendation to be sent, ipated positions in the area of Dynamical plied Mathematics, or an earned doctorate by January 15, 1991, to: Systems. One position is a permanent po in Mathematics Education with a Master's in Professor John C. Wierman, Chairman sition at the Assistant Professor level. The Mathematics; professional development and Mathematical Sciences Department successful applicant should have a strong teaching experience appropriate to senior 220 Maryland Hall commitment to research and teaching. The rank; familiarity with a broad spectrum of The Johns Hopkins University Department also seeks applications for a math instruction; ability to work with others Baltimore, Maryland 21218 Visiting Assistant Professorship in this field. in a broad array of disciplines; and personal Applicants for positions in algebra, analy Applications and 3 letters of reference should qualities of integrity, industriousness, organi sis, differential equations, geometry, number be sent to: Search Committee, Department zation, leadership and interpersonal skills. theory, and topology should contact the Math of Mathematics, Boston University, 111 Cum Ferris State University is a career-oriented, ematics Department instead of the Mathemat mington St., Boston, MA 02215. AA/EOE. open-admissions, state-funded institution in ical Sciences Department. AA/EOE western Michigan with 12,000 students and over 120 degree programs. Its Sc~.ools in clude Allied Health, Arts and Sciences, Busi MICHIGAN Pharmacy, Technology, and UNIVERSITY OF MARYLAND ness, Education, of Optometry. UNIVERSITY COLLEGE CENTRAL MICHIGAN UNIVERSITY the College Review of applications is in progress and Teach in Asia or Europe Three tenure-track positions and one tentative will continue until the position is filled. Send The University of Maryland University College tenure-track position. All are at assistant pro letter of interest, curriculum vita, 3 letters of seeks excellent teachers for openings on U.S. fessor rank. Priorities for the three indicated reference, and official transcripts to: George military bases overseas. Appointments begin positions are 1. Functional analysis/operator Wales, Search Committee Chair, Starr 120, August 1991. Requirements include M.A. or theory, 2. Combinatoricsjdesign theory and 3. Ferris State University, Big Rapids, Ml 49307. Ph.D., recent college teaching experience, Mathematics education. The tentative position and U.S. citizenship. Competence to teach in is in statistics and its status will be determined another discipline desirable. Benefits include by January 1991. Statistics candidates may GRAND VALLEY STATE UNIVERSITY transportation and military base privileges also be considered as a fourth priority for one Allendale, Michigan (PX, commissary, etc.). Frequent travel and of the three positions mentioned above. Can the cost of schooling make these positions didates for all positions should have a doc Tenure-track positions are open for Fall 1991, difficult for those with children. Send resume torate in the appropriate field of mathematics, in Mathematics, Math Education, Statistics, to Dr. Ralph E. Millis, Assistant to the Pres show promise of excellence in teaching, and Computer Science, and Information Systems. ident, Overseas Programs, The University of have demonstrated research ability. Candi Duties include teaching undergraduate andjor Maryland University College, College Park, dates in mathematics education should have graduate courses, student advising and pro MD 20742-1642. AA/EEO. teaching experience in K-12 and the ability to fessional development. Earned doctorate and teach undergraduate mathematics courses. strong teaching recommendations required. Duties include teaching and research with a The Grand Valley campuses are located semester hours. in greater Grand Rapids, the second largest WASHINGTON COLLEGE normal teaching load of 9 will be given to candidates who metropolitan area in Michigan, offering nu Department of Math and Computer Science Preference interests in merous cultural and recreational opportuni Chestertown, Maryland 21620 complement existing research the Department. Salaries are competitive and ties. Cost of living is moderate and quality Washington College announces a tenure benefits include university-paid TIAA, medical, of life is high. Send resume and names track position at the assistant professor level dental, group life. Send resume, transcripts of three references to: Search Committee, starting fall 1991. This is a teaching position and three letters of recommendation to R. Mathematics and Computer Science Dept., involving instruction throughout the normal J. Fleming, Dept. of Mathematics, Central GVSU, Allendale, Ml 49401. Applications will 1308 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Classified Advertisements be accepted until positions are filled. GVSU is UNIVERSITY OF MISSOURI-ROLLA an EO/AAI. Department of Mathematics and NEBRASKA Statistics, Rolla, MO 65401 UNIVERSITY OF NEBRASKA-LINCOLN One or more tenure-track positions are antic Applications are invited for a tenure-track ipated for the fall of 1991. Rank and salary position at the Assistant- Professor level be are open and depend on qualifications, but ginning in the fall of 1991. Candidates must applicants must have the Ph.D. completed OAKLAND UNIVERSITY have a Ph.D. in mathematics or expect to by August 15, 1991. Preference will be given Chairperson, Department of receive their degree by August of 1991. Can to those whose research area complements Mathematical Sciences didates must have excellent teaching ability departmental research or fills a need. Al and outstanding research potential in an area Applications and nominations are invited gebra is an area of need at the professor which will complement the existing exper for the position of Chairperson. Minimum or associate professor level where research tise in the department. Applications accepted qualifications include an earned Ph.D. in a accomplishment, teaching ability and expe from qualified candidates in all areas of math mathematical science, significant post-Ph.D. rience in developing Ph.D. students will be ematics, but candidates in numerical analysis, academic experience in the mathematical sci major factors in the selection. For any en differential geometry, operations research, ences or comparable activity, a substantial try level position, training, research potential operator theory and combinatorics are par research record and an active commitment and teaching ability of the candidate will be ticularly urged to apply. Women and minority to research, demonstrated experience in var considered in the selection. Submit curricu candidates are also encouraged to apply. ious academic or professional leadership lum vitae, summary of research, transcripts Send vita and three letters of recommenda positions, and an academic record to justify and three letters of reference to W. T. In tion to Search Committee Chair, Department appointment at the rank of Professor in the gram, Chairman. Applicant review will begin of Mathematics and Statistics, University of Department of Mathematical Sciences with in December 1990. In order to receive full Nebraska-Lincoln, Lincoln, NE 68588-0323. tenure. The department has 30 regular faculty consideration, please have all materials in by The review of applications will begin February members and about 30 part-time faculty and December 15. AA/EOE. 1, 1991, and continue until a candidate is graduate assistants and is in the planning selected. process for establishing a Ph.D. program. An applicant should send a letter, vita, and UNIVERSITY OF MISSOURI - ST. LOUIS the names, addresses, and telephone num bers for at least three references. Send The Department of Mathematics and Com nominations and applications to Chairperson puter Science seeks applicants for two Search Committee, Department of Mathemat tenure-track positions at the rank of assistant ical Sciences, Oakland University, Rochester, or associate professor, one each in mathe Ml 48309-4401. Review of applications will matics and computer science. Duties include NEVADA begin December 12, 1990, OU is an AA/EO teaching and research. Candidates should UNIVERSITY OF NEVADA, RENO employer. have a strong commitment to good teaching. Department of Mathematics Special consideration will be given to individ uals whose research interests overlap those The University of Nevada, Reno invites appli of present members of the department. Can cations for the combined position of Chair of didates for an associate professorship must the Department of Mathematics and Profes have a substantial publication record. sor in the Department. Employment starts 1 MISSOURI Candidates for the position of assistant or July 1991. Duties of the Chair are initially for associate professor of mathematics should three full years. The salary will be commen UNIVERSITY OF MISSOURI hold the Ph.D. degree in mathematics (or surate with qualifications of the applicant and Department of Mathematics equivalent terminal degree). Areas of partic be competitive. The University contributes to Columbia, MO 65211 ular interest are group representation theory, TIAA-CREF retirement. algebraic geometry, and special functions. The Department has 15 members and Applications are invited for two tenure-track Candidates for the position of assistant offers B.A. and M.S. degrees in mathemat positions at the rank of assistant professor or associate professor of computer science ics. It provides substantial service to other beginning in August of 1991. The positions should hold the Ph.D. degree in computer The University has a separate require a Ph.D., quality teaching, and a com departments. science (or equivalent terminal degree). Computer Science Department and several mitment to a distinguished research career. The University of Missouri - St. Louis is other departments offer Ph.D.s. The Math Selections for each position will be based located in suburban St. Louis, Missouri, and Department and its programs are primarily on demonstrated research achieve ematics is one campus of the four-campus University growing. ment in an area complementary to areas of Missouri System. Applicants should have substantial and of ongoing departmental research. Send a Please send resume, and have three let continuing records of research and scholarly curriculum vitae along with a letter of ap ters of recommendation sent to Dr. Edward and be dedicated to excellence plication, and arrange for three letters of achievement Andalafte, Department of Mathematics and in teaching. They should have the capacity to recommendation to be sent to Professor L. Computer Science, University of Missouri - the Department in a period of growth. J. Lange, Chair, at the address above. The lead St. Louis, St. Louis, MO 63121-4499, by Jan Biographical information and five letters of application deadline is January 22, 1991, or uary 15, 1991 . Review of applications will reference should be sent to A. N. Thomp until the positions are filled thereafter. Appli begin on December 1, 1990. Applications will son, Department of Mathematics, University cations received after March 1 , 1991, cannot be considered until the position is filled. The of Nevada, Reno, Reno, NV 89557, [(702)784- be guaranteed consideration. AA/EOE. University of Missouri is an Affirmative Action; 6775; email address: [email protected]; FAX: Equal Opportunity Employer. 702-784-1300] and be received by 4 Febru ary 1991. Department representatives will be NOVEMBER 1990, VOLUME 37, NUMBER 9 1309 Classified Advertisements available for preliminary interviews at the AMS ages 5 hours. Preference given to applicants professor level, but will consider outstand meetings in San Francisco in January. working in Lie theory, topology, geometric ing applicants at all levels. Candidates must The University of Nevada, Reno is an Equal analysis, and ring theory (ideally interacting have relevant postdoctoral or equivalent pro Opportunity I Affirmative Action Employer and with algebraic geometry). However, excep fessional experience beyond the Ph.D. and does not discriminate on the basis of race, tionally strong candidates in all fields are a strong research record. A commitment to creed, color, sex, age, national origin, veteran encouraged to apply and will be given careful excellence in teaching is also expected. status or handicap in any program or activity consideration. The Department of Mathematics and Sta it operates. University of Nevada employs (2) Hill Assistant Professorships. These tistics currently has 41 faculty members and only United States citizens and aliens lawfully are three-year non-renewable positions. Can an active and expanding graduate program. authorized to work in the United States. didates should have recently received the The Department has close research ties with Ph.D., show outstanding promise in research Los Alamos and Sandia National Laborato ability in pure or applied mathematics, and ries, and access to major computing facilities. have concern for teaching. Normal course Joint appointments with other departments NEW HAMPSHIRE load approx. 6 hours but one course teaching are possible. DARTMOUTH COLLEGE reduction provided in two of the three years. Review of applications will begin Decem John Wesley Young Research Instructorship (3) Lectureships. (Assistant Professor ber 15, 1990, and will continue until the level and above). Normal course load ap positions are filled. All exceptionally strong The John Wesley Young Research Instructor prox. 6 hours. Candidates must have Ph.D., candidates, especially women and minority ship is a two year post-doctoral appointment show outstanding promise in research ability group members, are urged to apply. Please for promising new or recent Ph.D.'s whose in pure or applied mathematics and have have vita and three letters of reference sent research interests overlap a department mem concern for teaching. These are one or two to: ber's. Current departmental interests include year non-tenure-track positions. Professor Alex Stone, Chair areas in algebra, analysis, algebraic geome (4) Instructorships. Responsible for teach Hiring Committee try, combinatorics, computer science, differ ing mainly at the level of precalculus and Department of Mathematics and ential geometry, logic and set theory, number below. Normal course load 12 hours. Candi Statistics theory, probability and topology. Teaching dates must have masters degree or equivalent The University of New Mexico duties of four ten-week courses spread over related experience and provide evidence of Albuquerque, NM 87131 two or three quarters typically include at least teaching ability. These are one or two year The University of New Mexico is an AAIEEO. one course in the instructor's specialty and non-tenure-track positions. include elementary, advanced and (at instruc (5) Visiting Positions; part-time and full tor's option) graduate courses. Nine-month time. Normal full-time course load approx. salary of $32,500 supplemented by summer 6 hours. These positions are intended to NEW YORK (resident) research stipend of $7,150 (two permit individuals with regular appointments JOHN JAY COLLEGE ninths). Send letter of application, resume, elsewhere to visit Rutgers for the purpose OF CRIMINAL JUSTICE graduate transcript, thesis abstract, descrip of engaging in joint research with mem THE CITY UNIVERSITY OF NEW YORK tion of other research activities and interests bers of the faculty. Candidates must have Department of Mathematics if appropriate, and 3 or preferably 4 letters of Ph.D., proven record of outstanding research recommendation (at least one should discuss accomplishments in pure or applied mathe Assistant Professor, tenure-track position, teaching) to Phyllis A. Bellmore, Department matics, and concern for teaching. These are January, 1991. Requirements: Ph.D.; demon of Math and CS, Bradley Hall, Hanover, NH one or two year non-renewable positions. strated potential for research; strong com 03755. Applications received by Jan. 15 re (6) Part-time Positions (all levels). These mitment to teaching. Computer science, nu ceive first consideration; applications will be may be used both for candidates with primary merical analysis or operations research back accepted until position is filled. Dartmouth responsibility for teaching and for candidates ground preferred. John Jay College of Crimi College is committed to affirmative action with outstanding promise in research activity. nal Justice, located in Manhattan, is a senior and strongly encourages applications from Send resume and at least three letters of college in CUNY. Send resume, graduate minorities and women. recommendation to Search Committee, De transcript, relevant reprints, dissertation ab partment of Mathematics, Rutgers University, stract and three letters of reference to Sydney New Brunswick, NJ 08903 as soon as pos Samuel, Chairperson, Department of Mathe matics, John Jay College of Criminal Justice, NEW JERSEY sible. Indicate position desired and give # of your area of specialty according to AMS 445 West 59 Street, New York, NY 10019 by RUTGERS, THE STATE UNIVERSITY Mathematics Subject Classification. Rutgers December 1, 1990. Minorities and women are OF NEW JERSEY University is an Equal OpportunityI Affirmative encouraged to apply. AAIEOE Employer. Action Employer. Rutgers, The State University of New Jersey. Department of Mathematics, New Brunswick, HOBART AND WILLIAM SMITH COLLEGES NJ anticipates the following open positions Department of Mathematics beginning September 1991. and Computer Science (1) Tenure-track and tenure positions. The NEW MEXICO Department anticipates several openings. De THE UNIVERSITY OF NEW MEXICO Two Assistant Professor, tenure-track posi pending on the qualifications of the applicants, Albuquerque, New Mexico tions starting in September 1991. Salary is appointments may be as tenure-track assis Department of Mathematics and Statistics competitive. tant professorships or as tenured associate, For the first position applicants should full, or special professorships. Candidates The Department expects to have up to three have a Ph.D. in computer science or a Ph.D. must have Ph.D., outstanding research ability tenure-track positions available, beginning in in mathematics and experience in computer in pure or applied mathematics and concern the Fall Semester, 1991. We are particu science. Duties include teaching undergrad for teaching. Normal course load now aver- larly interested in candidates at the assistant uate computer science, participating in the 1310 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Classified Advertisements Colleges' Interdisciplinary General Curricu beginning in the 1991-92 academic year. An STATE UNIVERSITY OF NEW YORK lum, and the possibility of teaching some appointment at the Assistant Professor level AT BUFFALO mathematics (depending on interests and will also be considered for candidates with Mathematics qualifications). outstanding promise. Applicants for the se For the second position applicants should nior position should have an established and The Department of Mathematics anticipates have a Ph.D. in mathematics; specialty open, recognized research program, proven ability the appointment of several tenured or tenure but preference may be given to algebraists, to attract external research support, and inter track faculty members beginning September applied mathematicians, or those with demon est in building and leading a strong research 1, 1991. Salary will be competitive. Outstand strated computer science expertise. Duties group. Candidates should also possess a ing applicants in all fields of mathematics include teaching undergraduate mathematics, proven record of excellence in teaching at are encouraged to apply. We seek appli participating in the Colleges' Interdisciplinary both the undergraduate and graduate levels cants with excellent research accomplish General Curriculum, and the possibility of and should be committed to professional ments/potential and a strong commitment to teaching some computer science (depending interaction with faculty and Ph.D. students. teaching. on interests and qualifications). While applications from all areas of Statistics Applicants should send any supporting For both positions a strong commitment are welcome, the department has special in information and have four letters of recom to teaching and promise of continued schol terests in experimental design, quality control, mendation sent to: arly activity is required. Teaching load: two and inference for stochastic processes. Dr. Nicolas Goodman courses per trimester. Hobart College for There will also be opportunities for re Search Committee Chairman men and William Smith College for women search cooperation with faculty and students Department of Mathematics are coordinate, four year, liberal arts colleges in Electrical Engineering on problems of sta SUNY /Buffalo committed to teaching and interdisciplinary tistical pattern recognition, robust detection 106 Diefendorf Hall study with a combined enrollment of 1900 and estimation theory for radar and commu Buffalo, New York 14214 students. Within an hour's drive are three nications, and adaptive statistical procedures. The deadline for applications is December major universities: Cornell, Rochester, and The review of applications will begin on 1, 1990. Late applications will be considered Syracuse. January 1, 1991. Candidates interested in the until positions are filled. Send detailed resume, three letters of position should send a letter of application, SUNY /Buffalo is an Equal Opportunity1 Af recommendation (at least one including com a curriculum vitae, the names of four people firmative Action Employer. We are interested ments on teaching), and undergraduate and who have agreed to write letters of rec in identifying prospective minority and women graduate transcripts (photocopies accept ommendation, and a description of research candidates. No person, in whatever relation able) to: Prof. Kevin Mitchell, Faculty Box 75, interests to: ship with the State University of New York Department of Mathematics and Computer Professor Burton Lieberman, Department at Buffalo shall be subject to discrimination Science, Hobart and William Smith Colleges, of Mathematics, Polytechnic University, 333 on the basis of age, creed, color, handicap, Geneva, NY 14456. Evaluation of applications Jay Street, Brooklyn, New York 11201. An national origin, race, religion, sex, marital or will begin December 15, 1990 and will con Equal OpportunityEmployer /M/F /H/V veteran status. tinue until the position is filled. Women and minorities are strongly encouraged to ap ply. An Equal Opportunity/Affirmative Action NORTH CAROLINA Employer. SPRINGER-VERLAG NEW YORK, INC. DUKE UNIVERSITY Mathematics Editorial Department of Mathematics ITHACA COLLEGE Due to the ongoing development of our math Applications are invited for one or more The Department of Mathematics and Com ematics program, Springer-Verlag New York tenure-track positions in Mathematics, rank puter Science at Ithaca College has two tenure has available editorial opportunity for individ and salary open, all fields, starting September eligible positions in mathematics available for ual with advanced degree(s) in mathematics. 1, 1991. Applicants should send a curriculum the 1991-92 academic year. Qualifications: Responsibilities will include the acquisition vitae, a research plan, and should arrange for Ph.D. preferred, active ABO's considered. and evaluation of new manuscripts and the three letters of recommendation to be sent. Rank: Assistant Professor or above. All suc supervision of pre-production manuscript de Complete applications received by January cessful candidates will be expected to teach velopment. Candidates will be considered at 1, 1991 will be guaranteed full consider a wide variety of mathematics courses at either the full editor level or associate editor ation. Address correspondence to: Faculty the undergraduate level. Screening begins level depending on experience. The position Search Committee, Department of Mathe December 17, 1990. Send vitae to Dr. Eric is New York City-based and requires travel. matics, Duke University, Durham, NC 27706. Robinson, Chair, Department of Mathematics We offer a competitive salary and an Duke University is an Affirmative Action/Equal and Computer Science, Ithaca College, Ithaca, excellent benefits package including dental Opportunity Employer. NY 14850. An Affirmative Action/Equal Op and 401 (k). Interested individuals please send portunity Employer. resume and cover letter to: Laura Jones UNIVERSITY OF NORTH Sr. Personnel Associate CAROLINA AT CHAPEL HILL Sprinver-Verlag New York, Inc. POLYTECHNIC UNIVERSITY Department of Mathematics 175 Fifth Avenue Department of Mathematics Chapel Hill, NC 27599 New York, NY 10010 As a result of retirements, the Department of Selected candidates will be interviewed at Applications are invited for tenure-track ap Mathematics anticipates a number of tenured the American Mathematical Society Annual pointments effective Fall 1991. Rank and and tenure-track openings in Statistics in the Meeting in San Francisco, CA (January 1991). salary depend on qualifications and budget next few years. A senior appointment at the considerations. Ph.D., exceptionally strong Associate or Full Professor level is available research program and commitment to excel- NOVEMBER 1990, VOLUME 37, NUMBER 9 1311 Classified Advertisements lent teaching required. Send curriculum vitae, Applicants are expected to have a Ph.D. and sity maintains an IBM 3090 mainframe and abstract of current research program and be a professional contributor in the area of a high-performance (interactive) link to the four letters of recommendation to Search flight control. Consideration will be given to Cray Y-MP/864 at the Ohio Super Computer Committee Chairman, Mathematics Depart applicants who have extensive flight control Center, on which computing time is readily ment, CB# 3250 Phillips Hall, UNC at Chapel experience within industry and government. available. Hill, Chapel Hill, NC 27599-3250. EO/AA Em Research Support: Two powerful hybrid com Application deadline is February 15, 1991. ployer. Women and minorities are encouraged puters (EAI SIMSTARS) are the heart of Applicants should submit a curriculum vitae, to identify themselves voluntarily. Completed AFIT's flight control laboratory. A high fidelity, and arrange to have three letters of rec applications received by January 15, 1991 are full flight envelope, real-time aircraft simulator ommendation sent to Per Enflo, Head of assured of full consideration. is developed for academic and research use. Search Committee, Department of Mathemat Overall, AFIT's computer resources equal or ical Sciences, Kent State University, Kent, OH exceed those found at other universities. An 44242. Kent State University is an Affirmative Employer. Women WAKE FOREST UNIVERSITY office, laboratory, the use of modern comput Action/Equal Opportunity to apply. Department of Mathematics and ers and other service support will be provided and minorities are encourged Computer Science for the visiting professor and may include support for a limited number of the visiting Applications are invited for two tenure track professor's doctoral students. Period of Ap KENT STATE UNIVERSITY positions in mathematics at the assistant pro pointment and Salary: The initial period of Department of Mathematical Sciences fessor level beginning August 1991. Duties appointment is for one full year. A shorter Senior Position in Applied include teaching mathematics at the under period and the starting date are negotiable, Mathematics/Scientific Computation graduate and graduate levels and continuing but should be prior to October 1, 1991. Ex research. A Ph.D. is required. The depart tension for a second year may be possible. Applications are invited for a faculty position ment has 22 members and offers a B.S. and Salary is commensurate with qualifications. A at the associate or full professor level be The M.A. in mathematics and a B.S. in computer per diem allowance is also paid. Application: ginning Fall Semester 1991 (or earlier). science. Send letter of application and re A resume of qualifications and experience, ideal candidate would have strong training with sume to Richard D. Carmichael, Chairman, including a list of significant publications and in classical/modern applied mathematics Department of Mathematics and Computer any need for support of Ph.D. students can extensive experience in large-scale scientific Science, Wake Forest University, Box 7311, be submitted anytime prior to March 31, computation. He/she would be expected to Winston-Salem, NC 27109. AA/EO employer. 1991 to: Dr. Charles J. Bridgman, Associate have a solid record of research, publication, Dean for Research, School of Engineering and external funding, as well as a commit (AFIT /ENR), Air Force Institute of Technol ment to quality teaching at the undergraduate ogy, Wright-Patterson AFB OH 45433-6583, and graduate level. The appointed faculty OHIO Phone: (513) 255-3633. The Flight Control member would be expected to enhance the Department's outreach and interdisciplinary AIR FORCE INSTITUTE OF TECHNOLOGY Distinguished Visiting Professor Program is made possible through a grant from the research efforts, supervise graduate students, The Air Force Flight Dynamics Laboratory Air Force Wright Research and Development and contribute to curricular planning and de and the Air Force Institute of Technology Center's Flight Dynamics Laboratory. AFIT velopment. announce the 1991-1993 Flight Control Dis is an Equal Opportunity1 Affirmative Action The Department of Mathematical Sciences and tinguished Visiting Professor Program. The Employer. at Kent State University comprises pure Air Force Institute of Technology (AFIT) at applied mathematics, statistics, computer sci Wright-Patterson Air Force Base, Dayton, ence, and the Institute for Computational Mathematics. This position is designed to Ohio announces the opportunity to join the KENT STATE UNIVERSITY complement existing strengths in applied AFIT graduate faculty as a Distinguished Vis Department of Mathematical Sciences iting Professor in the Department of Electrical analysis (especially numerical analysis and and Computer Engineering in the School of Applications are invited for a tenure-track approximation theory) and computer science Engineering. Responsibilities: The responsi faculty position in mathematics at the assis (especially symbolic computation, expert sys bilities of the AFIT Distinguished Visiting Pro tant professor level beginning Fall Semester tems, and parallel computing). fessor include providing academic leadership 1991. Applicants must have completed the The infrastructure of the Department is in teaching and research in association with requirements for a Ph.D. in mathematics by very good: the equipment inventory includes AFIT faculty and students, and initiating and August 1990. All mathematics research areas a significant workstation network plus En conducting research and consultation with the will be considered. Salary is competitive and core, Sequent, Staran, and Warp parallel Flight Dynamics Laboratory, Air Force Wright negotiable. The Department of Mathematical processing computers and a variety of pe Research and Development Center. Qualifica Sciences at Kent State University houses pure ripherals. The University also maintains an tions: The person appointed as Distinguished and applied mathematics, statistics, computer IBM 3090 mainframe and a high-peformance Visiting Professor should be an eminent science, and the Institute for Computational (interactive) link to the Gray Y-MP/864 at faculty member at a prestigious university. Mathematics. Particular strengths in mathe the Ohio Super Computer Center, on which Selection will be based upon the individual's matical research in the department include computing time is readily available. experience, proposed teaching program and several areas of analysis and algebra. Active Application deadline is February 8, 1991. If research areas. Areas of special interest and areas of computer science research include the position is not filled by February 8, 1991, activity at AFIT are: Flight Control Systems, theoretical computer science, computer alge the deadline will be extended until the posi Control Systems for Reconfigurable Aircraft, bra and scientific computing. tion is filled, or until April 26, 1991, whichever Design of Robust Multivariable Control Sys The department operates a computer lab occurs first. Applicants should submit a re tems, Quantitative Feedback Theory Design, oratory including a significant workstation sume and arrange to have three letters of Output Digital Feedback Design Technique for network, and Encore, Sequent, STARAN, recommendation sent to 0. P. Stackelberg, Multivariable Tracking Systems, Hoo Control and WARP parallel-processing computers, Chair, Department of Mathematical Sciences, Theory, and Adaptive Control and Estimation. and a variety of peripherals. The Univer- Kent State University, Kent, OH 44242. Kent 1312 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Classified Advertisements State University is an Affirmative Action/Equal enue, Columbus, Ohio 43210. The Ohio State date is January 15, 1991. Please send vita, Opportunity Employer. University is an Equal Opportunity I Affirmative transcript, and arrange for three reference Action Employer. letters to be sent to Dr. T. E. Gantner, Chair, Department of Mathematics, University MIAMI UNIVERSITY, OXFORD, OHIO of Dayton, Dayton, Ohio 45469-2316. UD Mathematics Education Position OHIO UNIVERSITY is an Equal Opportunity1 Affirmative Action Department of Mathematics and Statistics Department of Mathematics Employer. Tenure-track assistant professorship begin The Department of Mathematics anticipates ning August 1991, in the area of math the appointment of one tenure-track assis UNIVERSITY OF TOLEDO ematics education. Duties include teaching tant, associate or full professor beginning Department of Mathematics 8-9 hours per semester, continuing scholar September 1, 1991. Salary (at least $30,000) Toledo, OH 43606 ship and service. Applicants should have (by and rank dependent on candidate's qualifi 8/91) a doctorate in mathematics education cation and experience. Applicants must have Applications are invited for a tenure-track or a doctorate in mathematics with exper a Ph.D. in Mathematics before September assistant professor position beginning in tise in mathematics education. Please send 1, 1991 and have research interests in gen September 1991. Applicants should have a vita, transcripts and three reference letters eral topology and/or set theory. Only ex Ph.D. (or have completed all requirements for to John Skillings, Math Education Search, ceptionally well-qualified individuals will be the Ph.D. by Fall 1991) and be committed to Department of Mathematics and Statistics, considered for the associate or full professor excellence in both teaching and research. Mi Miami University, Oxford, Ohio 45056. Review rank. Send resume and have three letters nority and women candidates are particularly of applications will commence on January 15, of recommendation sent to Shih-liang Wen, encouraged to apply. Applicants should send 1991. Women and minorities are encouraged Chairman, Department of Mathematics, Ohio a resume and arrange for three letters of ref to apply. Miami provides equal opportunity in University, Athens, Ohio 45701. The deadline erence to be sent to Harvey Wolff, Chairman, employment and education. for applications is January 1, 1991. Department of Mathematics, The University Ohio University is an Equal Opportunity/ of Toledo, Toledo, OH 43606. The University Affirmative Action Employer. of Toledo is an Equal Opportunity1 Affirmative THE OHIO STATE UNIVERSITY Action Employer. Department of Mathematics UNIVERSITY OF CINCINNATI The Department of Mathematics of The Ohio Department of Mathematical Sciences UNIVERSITY OF TOLEDO State University hopes to have available sev Cincinnati, Ohio 45221-0025 Department of Mathematics eral positions, both visiting and permanent, Toledo, OH 43606 effective Autumn Quarter 1991. Candidates Two tenure-track Assistant Professorships in all areas of applied and pure mathe plus the Otto Szasz Assistant Professorship Applications are invited for a visiting assistant matics, including those with demonstrated (a one or two year terminal appointment for professor position beginning in September interest in pedagogical matters, are invited to a new or recent Ph.D. recipient) in areas 1991. Applicants should have a Ph.D. (or apply. Significant mathematical research ac to be determined among existing research have completed all requirements for the Ph.D. complishments or exceptional promise, and groups in the department are available for by Fall 1991) and be committed to excellence evidence of good teaching ability, will be September 1991. The Harris Hancock As in both teaching and research. Applicants expected of successful applicants. sistant Professorship (a one or two year should send a resume and arrange for three Please send credentials and have letters of terminal appointment for a new or recent letters of reference to be sent to Harvey Wolff, recommendation sent to Professor Dijen Ray Ph.D. recipient) in selected areas of non Chairman, Department of Mathematics, The Chaudhuri, Department of Mathematics, The linear analysis (Dynamical Systems, Partial University of Toledo, Toledo, OH 43606. The Ohio State University, 231 W. 18th Avenue, Differential Equations, Numerical Analysis) is University of Toledo is an Equal Opportunity/ Columbus, Ohio 4321 0. Review of resumes also available. Other visiting positions may Affirmative Action Employer. will begin immediately. become available. The Ohio State University is an Equal Op All positions require the Ph.D. and strong portunity1 Affirmative Action employer. Qual potential for quality research and teaching. OKLAHOMA ified women and minority candidates are Send curriculum vitae and direct three letters encouraged to apply. of recommendation to David Minda, Head. OKLAHOMA STATE UNIVERSITY UC is an Equal Opportunity1 Affirmative Action Department of Mathematics Employer. THE OHIO STATE UNIVERSITY Several tenured, tenure-track and visiting Department of Mathematics positions at all professorial ranks are an Research Instructorships in Mathematics UNIVERSITY OF DAYTON ticipated for Fall 1991. All areas are under consideration, but we especially encourage The Department of Mathematics of The Ohio The Department of Mathematics expects to applications in Differential Geometry, Partial State University hopes to have available a few have two positions, subject to budgetary Differential Equations, Probability, Algebraic research instructor positions for the academic confirmation, available beginning in August Geometry, Topology, Several Complex Vari year 1991-92. Candidates should hold a Ph.D. 1991: one tenure-track and one temporary. ables, Harmonic Analysis, Non-linear Anal (or equivalent) in mathematics and show Applicants should have the Ph.D. by August ysis, Numerical Analysis and Optimization strong research promise. 1991 , and must have a strong commitment Theory. Normal duties include research and Please send credentials and have letters to teaching and research. Preference for at most six hours teaching per semester. of recommendation sent to Professor Dijen the tenure-track position will be given to an Minimum qualifications are a Ph.D. in Mathe Ray-Chaudhuri, Department of Mathematics, applicant in applied mathematics who has matics or a related field, evidence of research The Ohio State University, 231 W. 18th Av- a background in numerical analysis. Closing achievement or potential, and a commitment NOVEMBER 1990, VOLUME 37, NUMBER 9 1313 Classified Advertisements to teaching. Post-doctoral experience is desir and every two weeks thereafter. Applica be considered.) Send application and three able, but not essential. For full consideration, tions will be accepted until the positions are letters of recommendation to: send a resume and arrange to have three con filled. The University of Oklahoma is an Equal Search Committee fidential letters of reference sent by January Opportunity j Affirmative Action Employer. OU Department of Mathematics 15, 1991 to Bruce Crauder, Appointments has a policy of being responsive to the needs Bryn Mawr College Committee Chairman, Department of Mathe of dual-career couples. Bryn Mawr, PA 19019 matics, Oklahoma State University, Stillwater, Telephone: (215)526 5348. OK 74078-0613. O.S.U. is an Equal Opportu Email: MSEARCH@BRYNMAWR. nity/Affirmative Action Employer. Women and minorities are especially encouraged to apply. CARNEGIE MELLON UNIVERSITY Zeev Nehari Assistant Professorship in OKLAHOMA STATE UNIVERSITY OREGON Mathematics Department of Mathematics GOOD SAMARITAN HOSPITAL Department Head & MEDICAL CENTER The Zeev Nehari Assistant Professorships have been instituted in the Department of The Department invites applications and nom 2169 N.W. Northrup Mathematics of Carnegie Mellon University to inations for the position of Department Head, Portland, OR 97210 honor the memory of Professor Zeev Nehari, starting July 1, 1991. Rank and salary are Self-structured postdoctoral fellowship is of a member of the Department from 1954 to his dependent on qualifications. Candidates must fered for a Ph.D., in Mathematics or Mathe death in 1978. The position available is for an have a Ph.D., or equivalent degree, a strong matical Physics at the R. S. Down Neurologi initial period of one or two academic years, research record, and a commitment to excel cal Sciences Institute in Portland, Oregon. We beginning in September 1991, and extend lent teaching. Oklahoma State University is are looking for a researcher who is interested able for one additional year when mutually a comprehensive research university with an in professional freedom, developing their own agreeable. It carries a reduced academic year enrollment of about 20,000. The Department interests, and asking such questions as: How teaching load of six hours per week during has 30 faculty members and offers bachelor, does an organism simplify its movement task one semester and three hours per week masters and doctoral degree programs. For and how are those simplifications reflected in during the other. Applicants are expected to full consideration send a vita and three let ensemble activity of neurons? As part of an show exceptional research promise, as well ters of reference by December 15, 1990 to established theoretical project, the fellow will as clear evidence of achievement and should Search Committee, Department of Mathemat have the opportunity to develop appropriate have research interests which intersect those ics, Oklahoma State University, Stillwater, OK mathematical formalism, then elaborate the of current faculty of the Department. Appli 74078. Applications by women and minorities structure of the resulting mathematics and cants should arrange to have three letters are encouraged. Oklahoma State University explore the empirical consequences. This po of recommendation sent to the Appointments is an Affirmative Action/Equal Opportunity sition offers ongoing collaboration with both Committee, send a vita, a list of publica Employer. experimental and clinical neuroscientists as tions and a statement describing current and well as clinical links to a major medical cen planned research. It is important that the lat ter. Please send research interests, vitae and ter explain the relation of the proposed work THE UNIVERSITY OF OKLAHOMA three reference letters to the Human Re to that currently done in the Department. All Department of Mathematics sources Management Department. AA/EOE. communications should be addressed to: Ap 601 Elm Avenue, Room 423 pointments Committee, Department of Math Norman, Oklahoma 73019-0315 ematics, Carnegie Mellon University, Pitts Applications are invited for two anticipated burgh, PA 15213. Carnegie Mellon University tenured or tenure-track positiions in Mathe is an Affirmative Action/Equal Opportunity matics beginning Fall 1991. One position at Employer. the associate professor level, with preference given to applicants with research interests in PENNSYLVANIA the areas of Geometry, Topology, or Analy BRYN MAWR COLLEGE CARNEGIE MELLON UNIVERSITY sis. One Assistant Professor position at the Department of Mathematics Department of Mathematics entry level with preference given to research interests compatible with those of our current Bryn Mawr College invites applications for a The Department expects to make one tenure faculty. Candidates must have a Ph.D. degree, tenure track assistant professorship in Math track appointment, to begin in the Fall of demonstrated excellence in research, and a ematics, to start September 1991. Candidates 1991, at the Assistant Professor level. We strong commitment to high-quality teaching. should have a doctorate in a mathemati particularly seek candidates in the area of Duties include research, normally teaching cal science, or expect to have completed computational mathematics, but also will con six credit hours per semester, and Depart it by Sept. 1, 1991. Candidates are ex sider other areas of research which strongly mental and University service appropriate to pected to show promise in research and a intersect those of the current faculty of the rank. Salary will be commensurate with qual commitment to teaching. All fields are ac Department. Applicants should send a vita, ifications and experience. There may also ceptable, with a preference for algebra or list of publications, and a statement de be visiting positions. Applicants should send applied mathematics. Bryn Mawr is an Equal scribing current and planned research, and their vita and have at least three letters of ref Opportunity 1Affirmative Action employer, and arrange to have at least three letters of erence sent to Dr. Ruediger Landes, Search seeks faculty and staff knowledgable about recommendation sent to the committee. All Committee Chair, Department of Mathemat and concerned with multicultural and interna communications should be addressed to: Ap ics, University of Oklahoma, 601 Elm Avenue, tional issues. Minority candidates and women pointments Committee, Department of Math Room 423, Norman, Oklahoma 73019-0315. are especially encouraged to apply. Closing ematics, Carnegie Mellon University, Pitts Initial screening begins December 15, 1990 date January 1, 1991. (Late applications may burgh, PA 15213. Carnegie Mellon University 1314 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Classified Advertisements is an Affirmative Action/Equal Opportunity teaching a broad spectrum of undergraduate UNIVERSITY OF PITTSBURGH Employer. courses, and to research. Send curriculum Department of Mathematics and Statistics vitae, statement of research and teaching in terests, and three letters of recommendation The department invites applications for the following positions, which will be available for CARNEGIE MELLON UNIVERSITY to: Curtis Greene, Chair, Department of Math September 1991 if funding permits. Department of Mathematics ematics, Haverford College, Haverford, PA 19041. Haverford College is an Equal Oppor 1. Assistant Professor in the area of partial The Department expects to make at least tunity 1Affirmative Action Employer. Women differential equations. one Post-Doctoral appointment for 1991-1992 and minority candidates are encouraged to 2. Assistant Professor in some branch in the area of applied analysis. The is a apply. Deadline for applications: December of pure mathematics other than differential one-year (twelve-month) appointment. Appli 7, 1990 (Late applications may be considered equations. Applicants are especially encour cants should send a vita, list of publica until the position is filled, but this cannot be aged in algebra and geometric or algebraic tions, and a statement describing current and guaranteed.) topology, but all areas will be considered. planned research, and arrange to have at least Requirements include outstanding research three letters of recommendation sent to the accomplishment and potential commensurate committee. All communications should be ad with experience, and ability and interest in dressed to: Appointments Committee, Depart excellent teaching. ment of Mathematics, Carnegie Mellon Uni Applicants should send resume and ar range to have at least three letters of rec versity, Pittsburgh, PA 15213. Carnegie Mel MILLERSVILLE UNIVERSITY OF PA lon University is an Affirmative Action/Equal ommendation sent to: S. Hastings, Chairman, Opportunity Employer. Mathematics Department. Tenure-track As Department of Mathematics and Statistics, sistant Professor in Mathematics beginning University of Pittsburgh, Pittsburgh, PA 15260. August, 1991. Duties include teaching upper The University of Pittsburgh is an Equal Op portunity I Affirmative Action Employer. EBERLY COLLEGE OF SCIENCE and lower division undergraduate mathemat Women and minorities are especially en AT PENN STATE UNIVERSITY ics courses. Must have strong commitment to excellence in teaching and scholarship. couraged to apply. Department Head and Professor, Department Ph.D. in Mathematics or near completion. of Mathematics, Penn State. The Eberly Col Candidates with specialty in any field of lege of Science at Penn State University mathematics may apply; some preference will THE UNIVERSITY OF SCRANTON invites applications and nominations for the given to the applied areas. Full considera Mathematics Department position of Head of the Department of Math tion will be given to applications received ematics. by 1/28/91, but consideration of applications The University of Scranton is a Jesuit uni Candidates for the position of Head of will continue until position is filled. Submit re versity with over 3,500 undergraduates. The the Department of Mathematics should have sume, copies of transcripts, and three letters Mathematics Department has 15 full-time fac a distinguished record of mathematical re of recommendation (at least two attesting to ulty and about 50 majors. search and teaching appropriate for appoint teaching effectiveness) to Dr. Dorothea Jane One (possibly two) tenure-track position is ment as full Professor. They should have Blum, Search Committee/ AMS1190, Depart available for Fall 1991 for faculty interested demonstrated superior administrative or lead ment of Mathematics, Millersville University, in a teaching environment where research is ership skills, qualifying them to play a key role Millersville, PA 17551. An Affirmative Ac encouraged and supported. Individuals with in the further development of the Department. tion/Equal Opportunity Employer. expertise in any area of mathematics will be Applications and nominations received by considered. Preferred areas include Applied December 1, 1990, will be given full consider Mathematics, Probability /Statistics, Actuarial ation. Later submissions will be accepted until Mathematics, Algebra, and Analysis. Rank the position is filled. Nominations and appli and salary are open and competitive. cations (including a current curriculum vitae, Submit a vita, transcripts, and three refer ences to Mathematics Faculty Search Com publication list, and the names, addresses TEMPLE UNIVERSITY mittee, University of Scranton, Scranton, PA and telephone or email numbers of at least Department of Mathematics 18510 or phone (717) 941-6113. Screening three references) should be sent to: Chair Assistant Professorship man, Search Committee for a Mathematics will begin at once and applications will be Department Head, Box Mn, 211 Whitmore The Mathematics Department anticipates a considered until all positions have been filled. Building, Penn State University, University tenure-track position opening at the junior An AA/EO Employer and Educator. Park, PA 16802. An Affirmative Action/Equal level beginning Fall 1991. All fields will be Opportunity Employer. Women and Minorities considered with preference given to Geom Encouraged to Apply. etry/Topology, Lie Theory, Nonlinear POE's, SOUTH CAROLINA and Number Theory. Vita and three letters of reference should be sent by December COLLEGE OF CHARLESTON HAVERFORD COLLEGE, MATHEMATICS 31, 1990 to Search Committee, Department Department of Mathematics Haverford, PA 19041 of Mathematics, Temple University, Philadel phia, PA 19122. Applications are invited for at least 2 tenure Haverford College announces a tenure-track Women and Minorities are especially en track positions at the Assistant Professor level opening for 1991-92 in the Department of couraged to apply. Temple University is an Af beginning August 1991. Candidates must have Mathematics, at the Assistant (or possibly firmative Action/Equal Opportunity Employer. a Ph.D. in one of the mathematical sciences, a Associate) Professor level. Applications are Email: [email protected] commitment to undergraduate teaching, and invited from candidates with research inter potential for continuing research. The normal ests in any field of mathematics. Candidates teaching load is 9 hrsjwk, with possibili should demonstrate a strong commitment to ties for reductions through internal grants. NOVEMBER 1990, VOLUME 37, NUMBER 9 1315 Classified Advertisements The salary is competitive. Applicants should matical science and at least five years of col gram. A Ph.D. in mathematics, ecology, or send a vita and have three letters of rec lege mathematics teaching experience are re related area is required as well as previous ommendation sent to William L. Golightly, quired. Applicants should provide evidence of teaching experience. Area of expertise in Chairman, Department of Mathematics, Col leadership in curriculum development, teach mathematical ecology is open. Submit a c.v., lege of Charleston, Charleston, SC 29424. ing, public service and research/scholarly transcripts, brief plan of future research, and The process of evaluating applications will activities. In this primarily undergraduate in have three letters of recommendation sent to begin on January 21, 1991, but applications stitution, the faculty is expected to exhibit Dr. Thomas G. Hallam, Chair, Math Ecology will be considered until the positions are filled. excellence in teaching while maintaining a Search Committee, Department of Mathemat The College of Charleston is an Affirmative strong commitment to research and public ics, University of Tennessee, Knoxville, TN Action/Equal Opportunity Employer. service. The mathematics department has 21 37996-1300. Review of applications will begin faculty members including a Chair of Ex December 31, 1990 and will continue until cellence in applied mathematics. Located in the position is filled. UTK is an EEO/AA Title FURMAN UNIVERSITY a very scenic metropolitan area of 400,000, IX/Section 504 Employer. Greenville, South Carolina 29613 UTC has a student enrollment of 7800. Send applications with current vita to: Dr. Paul The Department of Mathematics at Furman L. Gaston, Dean, College of Arts and Sci VANDERBILT UNIVERSITY University, an undergraduate, liberal arts col ences, 119 Holt Hall, UTC, Chattanooga, TN Department of Mathematics lege, invites applications for a tenure-track 37403-2598. Applications received by January 1326 Stevenson Center Assistant Professorship beginning Septem 31, 1991, will be assured full consideration. Nashville, TN 37240 ber 1, 1991. A Ph.D. in a mathematical Women and minorities are encouraged to science is required. All areas of specialization apply. UTC is an Equal Opportunity Employ ASSISTANT PROFESSOR. are acceptable. Excellence in teaching and ment/ Affirmative Action/Title IX Section 504 Specialization in approximation theory, continued scholarly activity are expected of all Institution. computer-aided design, or numerical anal faculty. A vita, graduate and undergraduate ysis. This position is intended for a person transcripts, and three letters of recommenda whose primary research involves computing. tion should be sent to Robert Fray, Depart UNIVERSITY OF TENNESSEE It is an initial 3 year appointment beginning ment of Mathematics. Application deadline: Fall 1991. It is renewable and tenure-track. February 1, 1991. EOE/ AAE The Mathematics Department of the Univer Outstanding research potential and evidence sity of Tennessee, in an effort to significantly of effective teaching is required. Have vita improve its research position, seeks to fill a and 4 letters of recommendation (including THE UNIVERSITY OF SOUTH CAROLINA tenure-track assistant professorship or junior one about teaching) sent to Professor Glenn Department of Mathematics associate professorship. Employment begins Webb, Chairman. August 1991. The Department's interests are Vanderbilt University is an Equal Opportu Applications are invited for anticipated tenure in the areas of algebra, analysis, applied nity 1Affirmative Action Employer. track faculty positions at all ranks. Applica mathematics, differential equations, geome tions in all areas of mathematics will be try, mathematical ecology, numerical anal considered. The department is building on ex ysis, probability, and topology. Substantial VANDERBILT UNIVERSITY isting research strengths and is increasing the research accomplishments and promise, as Department of Mathematics scope of its programs in applied mathematics. well as dedication to teaching are paramount. 1326 Stevenson Center The Ph.D. degree or its equivalent is required, Interested applicants should arrange to have Nashville, TN 37240 and all appointments will be consistent with a vita, three reference letters, and a research the department's commitment to excellence statement sent to Professor John B. Con ASSISTANT PROFESSOR. in research and teaching at the graduate ar.d way, Mathematics, University of Tennessee, Specialization in topology. Initial 3 year ap undergraduate levels. A resume, containing a Knoxville, TN 37996-1300. Review of applica pointment beginning Fall 1991 (renewable; summary of research accomplishments and tions will begin December 1 and will continue tenure-track). Outstanding research potential goals, and four letters of recommendation until the position is filled. and evidence of effective teaching required. should be sent to: UTK is an EEO/AA/Title IX/Section 504 Have vita and 4 letters of recommendation (in Dr. Colin Bennett, Chairman Employer. cluding one about teaching) sent to Professor Department of Mathematics Glenn Webb, Chairman. University of South Carolina Vanderbilt University is an Equal Opportu Columbia, South Carolina 29208 UNIVERSITY OF TENNESSEE nity1 Affirmative Action Employer. The closing date for applications is January 31, 1991. The University of South Carolina Position Available. Assistant/ Associate pro is an Affirmative Action/Equal Opportunity fessor of Mathematics and Ecology, The VANDERBILT UNIVERSITY Employer. University of Tennessee, Knoxville. A tenure Department of Mathematics track joint appointment in the Department of 1326 Stevenson Center Mathematics and the Graduate Program in Nashville, TN 37240 Ecology is available starting fall 1991. Ap TENNESSEE pointee is expected to interact with a large ASSISTANT PROFESSOR. UNIVERSITY OF TENNESSEE group of mathematical and theoretical ecol Ph.D. required with two year appointment be AT CHATTANOOGA ogists at UTK and Oak Ridge National Lab ginning Fall, 1991. This is not a tenure-track Department Head oratory (Environmental Sciences Division), appointment but is intended for a person with have or establish an active research pro demonstrated research potential who would The University of Tennessee at Chattanooga gram, teach a variety of undergraduate and like to spend time in a department with a invites applications for Head of the Depart graduate courses in mathematics, and lead vigorous research atmosphere. We are espe ment of Mathematics. A Ph.D. in a mathe- graduate seminar courses in the Ecology Pro- cially interested in someone who works in one 1316 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Classified Advertisements of the areas of departmental strengths which recommendation to be sent to Professor dation letters to address above, directed as include universal algebra, differential equa Gladwell. follows: tions, approximation theory, operator theory, SMU is an equal opportunity /affirmative Instructor and Assistant Professor: cfo mathematical biology, applied mathematics, action/Title IX employer. Recruiting Committee graph theory, and topology. Have vita and I. Gladwell's email addresses: Associate Professor and Professor: cfo four letters of recommendation (including [email protected] John Dollard, Chairman one about teaching) sent to Professor Glenn H5NR1001 @SMUVM1.BITNET The University of Texas at Austin is an Webb, Chairman. equal opportunity employer. Minorities and Vanderbilt University is an Equal Opportu women are encouraged to apply. nity I Affirmative Action Employer. UTAH UNIVERSITY OF HOUSTON BRIGHAM YOUNG UNIVERSITY Department of Mathematics Department of Mathematics M. D. Anderson Chair A senior position is available for a suitable The department seeks nominations or appli candidate who has a strong research record cations for the M. D. Anderson Professorship in analytic number theory. The appointment in Mathematics. will be at the full Professor level. A successful TEXAS Applicants for this endowed professorship candidate should be a recognized leader in should have an outstanding record of re this specialty. SOUTHERN METHODIST UNIVERSITY search and scholarly achievement, a commit Applications will be accepted until 1 0 Jan Department of Mathematics ment to excellence in teaching, and demon uary 1991. Please send a curriculum vitae strated scientific leadership. Applications are The Department of Mathematics at Southern and have three letters of reference sent to: from candidates specializing in any Methodist University invites applications for a welcome Donald W. Robinson area of pure or applied mathematics. How tenure-track position, to be filled at senior or 292TMCB ever, special consideration will be given to junior level, with employment beginning in Fall Brigham Young University whose research interests are 1991. Applicants must be active researchers mathematicians Provo, UT 84602 consonant with those of the present fac in applied or numerical mathematics, must BYU is an Equal Opportunity I Affirmative Ac ulty. The department will start the selection have a strong commitment to undergraduate tion Employer. in mid-December, 1990. teaching and must be able to contribute to process Inquiries, nominations and applications the doctoral program in applied mathematics, should be sent to: numerical analysis and scientific computation. Garret J. Etgen, Chair Candidates for a senior position should have BRIGHAM YOUNG UNIVERSITY Department of Mathematics an outstanding reseach record in applied Department of Mathematics University of Houston mathematics, a successful grant record and Houston, TX 77204-3476 Applications are invited for two positions, experience in advising doctoral students. The (Ph: 713-749-4827 FAX: 713-749-4626) one in each of two specialties: nonlinear standard teaching load is two courses (six Applicants should include a curriculum vita POE/infinite dimensional dynamical systems, hours) per semester. A visiting position may possible references. and geometric topology /geometric combina also be available. and suggest The University of Houston is an equal torial group theory. interests include Departmental research Selections will be based upon a proven and perturbation opportunity /affirmative action employer. fluid mechanics, asymptotic record of research and teaching ability. Ap bifurcation theory, methods, nonlinear waves, plications will be accepted until 1 February combustion theory, dynamical systems, math 1991. Please send a curriculum vitae and analysis of differ ematical biology, numerical have three letters of reference sent to: ential equations and mathematical software. Donald W. Robinson are applied or Thirteen of the sixteen faculty 292TMCB faculty in numerical mathematicians. Senior Brigham Young University biology), clude D. H. Anderson (mathematical THE UNIVERSITY OF TEXAS AT AUSTIN Provo, UT 84602 W. E. Ferguson (numerical partial differential Department of Mathematics BYU is an Equal Opportunity1 Affirmative Ac (mathematical soft equations), I. Gladwell Austin, Texas 78712 tion Employer. ware), R. Haberman (nonlinear waves), G. W. Reddien (bifurcation theory), D. A. Reinelt Openings are expected for Fall 1991 at (fluid mechanics) and L. F. Shampine (numer all levels, including Instructor (customarily ical ordinary differential equations). Southern appointees are new Ph.D.s), Assistant Pro UNIVERSITY OF UTAH Methodist University has a 20 processor fessor (customarily appointees have at least Department of Mathematics Sequent Symmetry for research use. two years' experience beyond the Ph.D.), As The application deadline is January 15th, sociate Professor, and Professor. Candidates invites applications for the following positions: 1991. Send a letter of application and a vita should have outstanding research ability and 1. At least two full time tenure track ap to: Professor I. Gladwell, Chairman, Depart concern for teaching. Salaries are compet pointments on the professorial levels. The ment of Mathematics, Southern Methodist itive. If you have access to email, request Department is primarily interested in appli University, Dallas, Texas 75275 (Tel: (214) a form from [email protected]. Oth cants who work in the research areas repre 692-2506). Applicants for a junior position erwise, please send vita, detailed summary sented in the Department and who received should also arrange for threP letters of of research interests, and three recommen- their Ph.D. degrees prior to 1990. Selection NOVEMBER 1990, VOLUME 37, NUMBER 9 1317 Classified Advertisements will be based on research expertise and letters of reference to: Personnel Committee, positions to begin September 1, 1991. Per teaching ability. Department of Mathematics and Statistics, sons with a strong and broad background 2. Two or more nonrenewable three-year University of Vermont 05405-3357. The dead in algebra and topology are urged to apply. Instructorships. Persons of any age receiving line for applications is January 15, 1991; A Ph.D. in mathematics is required. Teach Ph.D. degrees in 1990 or 1991 are eligible. duties begin in the Fall Semester 1991. UVM ing experience and an interest in industrial Applicants will be selected on the basis of is an Equal Opportunity I Affirmative Action applications are desirable. The Mathematics ability and potential in teaching and research. Employer. Minorities and women are strongly Department seeks to strengthen its MS, MEd Starting salary will be $31 ,500; cost of living encouraged to apply. and undergraduate programs, as well as its increases are contingent on action by the ties to local industry. Review of applications State Legislature. Duties consist of teaching will begin February 1, 1991 and continue un five courses during the three quarter academic til the positions are filled. Applicants should year. VIRGINIA send a letter of application stating objectives 3. One C. R. Wylie Instructorship. The term MARY WASHINGTON COLLEGE and philosophy in teaching and research, a of this instructorship is one year, but it may Department of Mathematics curriculum vita with graduate transcripts and be renewed for up to three years. It will be Assistant Professor in names, address and phone number of three awarded either to an incoming Instructor or to Mathematics Education references to: Dr. Ronald H. Dalla, Chairman, one of the Instructors already in residence on Mathematics Department, MS 32, Eastern the basis of ability and potential in teaching Applications are invited for a tenure-track Washington University, Cheney, WA 99004. and research. The stipend is $35,500. Duties position effective 8115191. Candidates should AAIEOE consist of teaching four courses during the have a Ph.D. in Education with an M.S. (or three quarter academic year. M.A.) in mathematics. The responsibilities 4. One of more visiting faculty positions include teaching four courses per semester of one year or less in any of the professorial (one of which is history of mathematics); lead WESTERN WASHINGTON UNIVERSITY ranks. Selection will be based on potential ing the ··outcomes assessment"· program for contributions to the department's research the department; working with elementary and Applications are invited for tenure-track and program, and on teaching ability. secondary teachers to coordinate teacher re visiting positions to begin Fall 1991. Success Applications will be accepted until January certification and in-service programs; seeking ful candidates will be expected to be active 31, 1991 or until the positions are filled. grants to enhance education in mathemat in research, to interact at the research level Applications for any of these positions ics; and advising the department on using with current department members, and to be should include curriculum vitae, bibliography computers to aid instruction. Send vita to: effective teachers with a commitment to both and three letters of reference. (Instructorship Betty Durrer undergraduate and graduate education. applications should also include an abstract Chair of the Search Committee Candidates in the following areas of math of the thesis and either a list of graduate Dept. of Mathematics ematics are especially sought: discrete math courses completed or a transcript of gradu Mary Washington College ematics (particularly graph theory), modeling, ate work.) Visiting faculty applications should Fredericksburg, VA 22401 optimization, and statistics. A Ph.D. is re indicate the portion of the three-quarter aca The search will be closed by January 31, quired. demic year during which the applicant wishes 1991. Mary Washington College is an Equal A demonstrated interest in the use of to visit. Please send your application to Opportunity1 Affirmative Action Employer. computers for instructional purposes and in Committee on Staffing, Department of Math the integration of applications of mathematics ematics, University of Utah, Salt Lake City, into classroom material is desirable. a sub Utah 84112. The University of Utah is an UNIVERSITY OF VIRGINIA Rank and salary are open, but research record will be required for equal opportunity-affirmative action employer. Lawrence E. Thomas stantial Department of Mathematics appointments above the Assistant Professor The normal teaching load for research Charlottesville, Virginia 22903 level. faculty is two courses per quarter. The Department of Mathematics is seeking Western Washington University is located VERMONT an outstanding candidate to fill its Whyburn on Bellingham Bay in an area of outstand ing natural beauty within an hour's drive of UNIVERSITY OF VERMONT Instructorship. Applicants should show ex the Seattle and Vancouver, B.C., metropoli Position in Applied Mathematics ceptional promise in teaching and research. Preference is to be given to applicants who tan areas and the Cascade Mountains. The The Department of Mathematics and Statis have received the Ph.D. within the past two department has a strong undergraduate pro tics solicits nominations and applications to fill years and who are working in algebra. The gram with a somewhat applied flavor and a tenure-track Assistant Professor position in Instructorship is a two-year appointment with a flourishing Master's program with about applied mathematics. Applicants should have reduced teaching load and partial summer twenty students. a Ph.D. in Mathematics or a related discipline support. Applications should be sent to Professor and demonstrated excellence in research and The University of Virginia is an Equal Thomas T. Read, Chairman, Department of teaching. Research interests should be com Opportunity1 Affirmative Action Employer. Mathematics, Western Washington University, patible with existing groups in fluid dynamics, Bellingham, WA 98225-9063. structural mechanics, and biomedical mathe Interested candidates should submit a let matics. Experience in modeling, computation, ter of application, complete transcripts, a and interdisciplinary research is desirable. WASHINGTON vita, and three letters of recommendation Duties include teaching two courses per EASTERN WASHINGTON UNIVERSITY addressing the candidate's qualifications in applica semester and conducting research. Salary is Department of Mathematics teaching and research. Deadline for competitive and commensurate with qualifica tions is February 1, 1991; later applications tions and experience. Applicants should send Applications are being accepted for two pro will be considered if positions remain avail a vitae, description of research, and three bationary, tenure-track assistant professor able. Positions are subject to the continuing 1318 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Classified Advertisements availability of funds. The University is an UNIVERSITY OF WISCONSIN - MADISON $53,37 4; for Associate Professors currently EO/AA employer. Department of Mathematics $45,694-$67,658. Send vitae and arrange for Employment Opportunities three letters of reference to be sent to: Pro fessor R. Bercov, Chairman, Department of The Department of Mathematics at the Uni Mathematics, University of Alberta, Edmon versity of Wisconsin-Madison solicits applica ton, Alberta, Canada T6G 2G1. In accordance tions for the following positions to begin fall with Canadian Immigration requirements, pri 1991. ority will be given to Canadian citizens and WEST VIRGINIA Tenure and Tenure-Track Positions. Ap permanent residents of Canada. Closing date pointments will be made at the Assistant Pro for applications is January 15, 1991. Please WEST VIRGINIA UNIVERSITY fessor level unless qualifications and experi quote file number when responding to this Department of Mathematics ence require appointment at higher rank-in advertisement. The University of Alberta is The Department of Mathematics intends to geometry, nonlinear P.D.E., and other areas committed to the principle of equity in employ make several faculty appointments that will of programmatic need. Deadline for applica ment. The University encourages applications commence August 1991. One appointment tions is November 30,1990. from aboriginal persons, disabled persons, Ap may be at the Associate rank; others will be at Van Vleck Assistant Professorships. members of visible minorities and women. term of three the Assistant rank. Candidates are expected pointments are for a specified to have a Ph.D. in mathematics or equiva years at an academic year salary of at least $33,000. The usual teaching load is two lent with a strong record or demonstrated UNIVERSITY OF ALBERTA courses per semester. Ordinarily only those potential in both research and teaching. Pref Department of Mathematics erence will be given to applicants whose re applicants who have received their doctorate September 1991 will search interests complement those currently since 1988 and prior to Applications are invited for a tenure-track to in the Department in algebra, analysis, applied be considered. Preference will be given position in Numerical Analysis (File NA-1) at to interact well with or numerical analysis, discrete mathematics. candidates who are likely the Assistant Professor level, beginning July Deadline for Normal responsibilities include research and a other members of Department. 1, 1991. The possibility of an appointment 31, 1990. two course teaching assignment per semester applications is December at the Associate Professor level is not pre clear evidence at the graduate or undergraduate level. Ap Candidates should provide cluded. Requirements are a Ph.D. and proven in mathe plications and inquiries should be directed of teaching ability and excellence ability or demonstrated potential for research to James Lightbourne, Department of Mathe matical research. Supporting materials should and teaching. Salary for Assistant Professors or recommendation matics, West Virginia University, Morgantown, include a vita, and three is currently $36,910-$53,374; for Associate in WV 26506. Applicants should submit a vita letters, at least one of which discusses, Professors currently $45,694-$67,658. Send qualifications. and have three letters of reference sent ( se detail, the candidate's teaching vitae and arrange for three letters of ref to nior applicants may choose to submit names Van Vleck applicants are also required erence to be sent to: Professor R. Bercov, abstract of their of references). To insure consideration, appli submit a one to three page Chairman, Department of Mathematics, Uni cation materials must be received by January dissertation. versity of Alberta, Edmonton, Alberta, Canada the 15, 1991. WSU is an Affirmative Action/Equal Application forms are available from T6G 2G1. In accordance with Canadian Immi of Mathemat Opportunity Employer. Qualified women and Hiring Committee, Department gration requirements, priority will be given to 480 Lincoln Drive, minorities are especially encouraged to apply. ics, 223 Van Vleck Hall, Canadian citizens and permanent residents Madison, WI 53706. Applications will be ac of Canada. Closing date for applications is cepted for all positions until they are filled; January 15, 1991. Please quote file number however, in order to ensure full consideration, when responding to this advertisement. The the application and all supporting materials University of Alberta is committed to the prin should be received by the above deadlines. ciple of equity in employment. The University The University of Wisconsin is an AA/EOE encourages applications from aboriginal per WISCONSIN employer and encourages women and minori sons, disabled persons, members of visible ties to apply. minorities and women. LAWRENCE UNIVERSITY The Immigration Reform and Control Act 54912 Appleton, Wisconsin of 1986 requires the University to verify Department of Mathematics the identity and work authorization of the UNIVERSITY OF ALBERTA is We will have at least two tenure-track po successful applicant. Offer of employment Department of Mathematics sitions, starting September 1991. Teach two contingent upon verification. courses per ten week term (three terms per Applications are invited for a tenure-track po year), engage in research and scholarship. sition in Approximation Theory (File AP-1) at the Assistant Professor level, beginning July Lawrence is a highly selective liberal arts CANADA college with 1200 students. Send cover letter 1, 1991. The possibility of an appointment Professor level is not pre indicating particular interest in liberal arts set UNIVERSITY OF ALBERTA at the Associate are a Ph.D. and proven ting, graduate transcript, vita, and three letters Department of Mathematics cluded. Requirements of recommendation (one of which must relate ability or demonstrated potential for research first-hand evidence of exceptional teaching Applications are invited for a tenure-track po and teaching. Salary for Assistant Professors ability) to Alan E. Parks, Chair. Closing date: sition (File GP-1) at the Assistant Professor is currently $36,910-$53,37 4; for Associate January 1, 1991. Lawrence promotes equal level, beginning July 1, 1991. The possibility Professors currently $45,694-$67,658. Send opportunity in employment for all. Women and of an appointment at the Associate Profes vitae and arrange for three letters of ref minorities encouraged to apply. sor level is not precluded. Requirements are erence to be sent to: Professor R. Bercov, a Ph.D. and proven ability or demonstrated Chairman, Department of Mathematics, Uni potential for research and teaching. Salary versity of Alberta, Edmonton, Alberta, Canada for Assistant Professors is currently $36,910- T6G 2G1. In accordance with Canadian lmmi- NOVEMBER 1990, VOLUME 37, NUMBER 9 1319 Classified Advertisements gration requirements, priority will be given to be in October 1991 at both undergraduate Canadian citizens and permanent residents and graduate levels including the doctorate. NEW ZEALAND for applications is Enrollment is expected to grow to 7,000 FTE of Canada. Closing date THE UNIVERSITY OF WAIKATO Please quote file number by 1996-1997. The medium of instruction January 15, 1991. Hamilton New Zealand The is English. Applications are invited for the when responding to this advertisement. Lecturer in Statistics University of Alberta is committed to the prin following positions: ciple of equity in employment. The University Professor: Minimum US$79,600 p.a. The University of Waikato invites applica encourages applications from aboriginal per Reader: US$58,200- US$77,300 p.a. tions for a lectureship in Statistics in the sons, disabled persons, members of visible Senior Lecturer: US$55,800- US$74,900 p.a. Department of Mathematics and Statistics. minorities and women. Lecturer: US$35,900 - US$40,700 The Statistics Section of the Department con BAR US$43, 100 - US$60,000 p.a. sists of five statisticians who, together with The Department will place major emphasis other university staff and statisticians from the UNIVERSITY OF TORONTO on applications with an appropriate compo nearby Ruakura Agricultural Research Cen Department of Mathematics nent of pure mathematics to preserve the tre, constitute the Waikato Centre for Applied integrity of the discipline. Research areas will Statistics (WCAS). Also within the WCAS is Applications are invited for one or possibly be highly interdisciplinary and will include sci the Unit for Quality and Productivity Improve two limited term Assistant Professorships, entific computation, statistics, fluid and solid ment led by Professor J. A. John, in which from July 1, 1991 to June 30, 1994. Du mechanics, mathematical physics, analysis, there is collaboration in research projects and ties consist of teaching and research, and algebra, geometry, etc. interchange of teaching and consulting. candidates must demonstrate clear strength Applicants should have a Ph.D. degree in Applicants for the post should preferably in both. Applications, including a complete the relevant fields. Appointees at the senior have completed doctoral studies, and have curriculum vitae, should be sent to Professor level are expected to have a distinguished broad active research interests. They should J. Repka, Associate Chairman, Department of record in research and have demonstrated be experienced communicators of statistical Mathematics, University of Toronto, Toronto, an ability to develop research programs; ideas and willing to participate fully in our Canada, M5S 1 A 1 Applicants. should arrange appointees at Lecturer level are expected introductory statistics program. Consulting for at least three letters of reference to be to have outstanding potential to develop experience is also highly valued. sent directly to the Associate Chair; at least research in hisjher own fields. Responsibili Current research interests in statistics in one of these should refer to teaching. The ties include undergraduate and postgraduate clude Experimental Design, Survey Methodol deadline for applications is January 15, 1991. teaching not exceeding two courses per ogy, Statistical Computation, Dynamic Linear In accordance with Canadian immigration re semester. Models, Mixture Models, Generalized Linear quirements priority will be given to Canadian Generous fringe benefits including med Models, Operations Research and Industrial citizens and permanent residents of Canada. ical and dental benefits, annual leave, and Statistics. The University of Toronto encourages both children's education allowances are provided. The current salary range for Lecturers is women and men to apply for positions. Air passages, housing or private tenancy $NZ37,440 - $49,088 per annum. allowance are also provided where appli Enquiries of an academic nature should be cable. Initial appointments will generally be made to Professor D. Bridges, telephone (64) on a three-year contract which is renewable GERMANY 71 562889 or Email: [email protected] subject to mutual agreement. A gratuity of (via Internet). UNIVERSITY OF BIELEFELD an amount equal to 25% of the total basic Information on the method of application Department of Mathematics salary drawn will be payable upon successful and conditions of appointment can be ob completion of contract. It is the intention of tained from the Academic Staff Registrar, Starting October 1st, 1990, a college for the University to introduce a superannuation University of Waikato, Private Bag 31 05, postgraduate and postdoctoral studies in scheme and arrangements will be made for Hamilton, New Zealand, telephone (64) 71 mathematics will be instituted at UniversitiH eligible staff to join the scheme as appropri 562 889, Fax (64) 71 560135. Applications Bielefeld. ate. Approved sabbatical leave will be at full quoting reference number A90j88 close on 7 The main areas of research are: finite, salary. December 1990. discrete and Lie groups, potential theory, Applications/nominations should be sent Places for appointees' children may be representation theory, topology, K-theory, with a complete CV together with the names available in the creche run by the Cam combinatorics, numerical analysis, informa and addresses of at least three references to: pus Creche Society (Inc). The University tion theory and statistics. Director of Personnel welcomes applications from suitable people Further information and application forms The Hong Kong University of Science regardless of race, creed, marital status, or may be obtained from: Prof. Dr. Andreas and Technology disability. Dress, Fakultat fur Mathematik, Universitat 12/F, World Shipping Centre Bielefeld, Postfach 8640, 4800 Bielefeld 1, 7 Canton Road West-Germany (Telefax: (0521) 106-47 43). Tsim Sha Tsui Kowloon, Hong Kong SCOTLAND Fax No.: (852) 735-7806 The search will continue until suitable ap HONG KONG UNIVERSITY OF ABERDEEN pointments are made. Department of Mathematical Sciences THE HONG KONG UNIVERSITY OF Chair of Applied Mathematics or Statistics SCIENCE AND TECHNOLOGY Applications are invited for the position of Department of Mathematics Professor of Applied Mathematics or Sta The Hong Kong University of Science and tistics in the Department of Mathematical Technology is a new publicly funded research Sciences. The new Professor will be ex University. The first intake of students will pected to develop teaching and research in 1320 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Classified Advertisements an area of Applied Mathematics or Statistics. ability in Geometry and must speak Korean Applicants with a main research interest in fluently. PUBLICATIONS WANTED Applied Analysis or Operational Research are Enquiries may be directed to: encouraged but applications from specialists Chang-Young Park Wanted: Mathematical books, journals, re in other areas would be welcome. Department of Mathematics prints, ephemera. Contact R. K. Dennis, Further particulars and application forms College of Natural Sciences Math. Dept., White Hall, Cornell U., Ithaca, are available from the Personnel Office, Uni Kyungpook National University NY 14853-7901. Tel: 607-255-4027, FAX: 607- versity of Aberdeen, Regent Walk, Aberdeen Taegu, 702-701, South Korea 255-7149. e-mail: AB9 1FX (tel 0224 273500) to whom ap Phone: Korea-53-950-5312 dennis@mssun7 .msi .cornell.edu plications (2 copies) should be returned by 10 December 1990 quoting reference number JA/135. Due to the present crisis in Kuwait, Professor S. A. Naimpally has moved to 121 Medhurst JOURNALS FOR SALE Drive, Nepean, Ontario, K2G 4J9, Canada. Since he has lost his library in Kuwait, he SOUTH KOREA American Math. Monthly, Bulletin of AMS, from requests topologists to send him preprints 1961, bound volumes. An invaluable resource and reprints in function spaces, hyperspaces, NATIONAL UNIVERSITY KYUNGPOOK for scholars and libraries. Send request for proximity, generalized metric spaces, noncon tinuous functions, uniform spaces and related We anticipate positions available at the As detailed information to Dr. Bert Ross, Univ. of topics. sistant Professor level beginning March 1991. New Haven, West Haven, CT 06516. Candidates should have outstanding research ~[;:=~~~~~~~ Festschrift in honor of I. I. PIATETSKI-SHAPIRO, Parts 1-11 S. Gelbart, R. Howe and P. Sarnak, Editors Israel Mathematical Proceedings, Volume 2-3 These two books are the second and third volumes in a new AMS book series, Israel Mathematical Conference Proceedings, published by the Weizmann Science Press of Israel. They contain the proceedings of a workshop on L-functions, Number Theory, and Harmonic Analysis, held at Tel Aviv University in May, 1989. The workshop was organized to honor and review the impact of the work of Ilya I. Piatetski-Shapiro on the occasion of his sixtieth birthday. Piatetski-Shapiro has been making major contributions to applied and theoretical mathematics for the past forty years. His work has touched such scientific areas as cell biology, geophysics, automata, homogeneous networks, and digital computers. These two volumes reflect the impact of his work on pure mathematics in areas ranging from trigonometrical series and analytic number theory to group representations, algebraic geometry, and automorphic I.-functions. Some of the papers in this volume were originally presented during the workshop, while others were solicited shortly afterward. All were prepared specially for this collection and arc dedicated to Piatetski-Shapiro. The first volume contains papers on representation theory, while the socond focuses on analysis, number theory, and automorphic L-functions. The two volumes comprise contributions by some of the top international experts in these areas. 1980 Mathematics Subject Classification: 11. 22 Volume 3 Set of Volumes 2 and 3 Volume 2 339 pages (softcover). September 1990 Individual member $68, List price $76 327 pages (softcover), September 1990 Individual member $36, List price $40 Institutional member $68 Individual member $36, List price $40 Institutional member $36 To order, please specify ISMSET/2/3NA Institutional member $36 To order. please specify ISMC/3NA To order, please specify ISMC/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 1571, Annex Station, Providence. Rl 02901-1571, or call toll free 800-321-4AMS (321-4267) in the continental U.S. ~anada to charge with VISA or MasterCard. NOVEMBER 1990, VOLUME 37, NUMBER 9 1321 Season's Readings ... Functional Analysis An Introduction for Physicists Nino Boccara Based on a third-year course for French students of physics, this book is a graduate text in functional analysis emphasizing applications to physics. September 1990, 344 pp., $44.50 ISBN: 0-12-108810-3 Difference Equations An Introduction with Applications Walter G. Kelley and Allan C. Peterson This book is intended for junior, senior or beginning graduate courses. It is written as a modem introduction to the subject, with an emphasis on computations and applica tions rather than theory. Probability, Statistics, and Pearls in Graph Theory February 1991, c. 368 pp., $34.50 (tentative) Nora Hartsfield and Gerhard Ringel ISBN: 0-12-403325-3 Queueing Theory with Computer Science This is a text for an introductory course in graph theory at the sophomore, junior, C*-Algebras and Applications and senior levels. It covers the major to Operator Theory SECOND EDITION pics and theorems but is not unnecessarily Gerard J. Murphy Arnold 0. Allen rigorous. This book constitutes a first- or second Designed for students at the upper July 1990,256 pp., $29.95 year graduate course in operator theory. It undergraduate level, this is a textbook ISBN: 0-12-328552-6 assumes a basic knowledge in functional on applied probability and statistics with analysis but no prior acquaintance with computer science applications. Of special interest... operator theory is required. August 1990, 768 pp., $49.95 The Uoreal Life of August 1990, 296 pp., $44.50 ISBN: 0-12-051051-0 Oscar Zariski ISBN: 0-12-511360-9 Principles of Real Carol Ann Parikh Ring Theory This is the first biography of Oscar Analysis Zariski-arguably one of the greatest STUDENT EDITION SECOND EDITION mathematicians of the twentieth century. It Louis Rowen Charalambos D. Aliprantis and includes a summary of his most pioneering From the reviews of the first edition: Owen Burkinshaw work as well as his personal history which spans nearly eighty years and covers most "As a textbook for graduate students, This major textbook on real analysis is of the globe. Ring Theory joins the best." the ideal text for senior undergraduate and -NOTICES OF THE AMS first-year graduate courses in real analy December 1990, c. 168 pages December 1990, c. 688 pp. sis, assuming student familiarity with $19.95 (tentative)/ISBN: 0-12-545030-3 $54.00 (tentative)/ISBN: 0-12-599840-6 advanced calculus and basic algebraic concepts. Order from your local bookseller or directly from Numerical Analysis 1990, 304 pp., $39.95/ISBN: 0-12-050255-0 An Introduction Lars Elden and Linde Wittmeyer-Koch Problems in Real ACADEMIC PRESS In addition to exceptional coverage of the Analysis Harcourt Brace Jovanovich,• Publishers A Workbook with Solutions Book Marketing Department #3711 0 normal range of topics in an introductory 1250 Sixth Avenue, San Diego, CA 92101 course, this book includes topics that have Charalambos D. Aliprantis and become particularly interesting in recent Owen Burkinshaw CALL TOLL FREE years. 1990,296 pp., $29.95/ISBN: 0-12-050256-9 1·800-321·5068 1990, 360 pp., $39.95/ISBN: 0-12-236430-9 FAX: 1·314·528·5001 Quote this reference number for free postage and handling on your prepaid order • 37110 Prices subject to change without notice. ©1990 by Academic Press, Inc. All Rights Reserved. TCISS- 37110. INSTITUTE FOR MATHEMATICS AND ITS APPLICATIONS announces a program on APPLIED LINEAR ALGEBRA ADVISORY COMMITTEE: Ake Bjorck, Tom Kailath, Victor Klee, James McKenna, Robert Ward ORGANIZING COMMITTEE: Richard A. Brualdi, George Cybenko, Alan George, Gene Golub, Paul van Dooren A one-year program with three parts: September 1991 - December 31, 1991: Discrete Matrix Analysis January 1 - March 31, 1992: Matrix Computations April 1 - June 30, 1992: Signal Processing Systems and Control POSTDOCTORAL MEMBERSHIPS All requirements for a doctorate should be completed by September 1, 1991. Applicants must show evidence of mathematical excellence, but need not be specialists in the field. The following materials must be submitted by January 15, 1991: (1) Personal statement of scientific interests, research plans, and reasons for wishing to participate in this program. (This is an essential part of the application.) (2) Curriculum vitae and a list of publications. (3) Three letters of recommendation, to be sent directly to the 11\tA. SENIOR MEMBERSHIPS Preference will be given to supplementary support for persons with sabbatical leaves, fellowships, or other stipends. POSTDOCTORATES IN INDUSTRIAL MATHEMATICS IMA announces 4 one-to-two year positions in Industrial Mathematics, effective September 1, 1991. These appointments are in addition to the regular IMA postdoctoral program and are funded jointly by the NSF and by Honeywell, Inc. and 3M. They are designed to prepare mathematicians for research careers involving industrial interaction. Familiarity with pde and/or numerical analysis is desired, but no knowledge in engineering is required. Postdoctorates will spend 50% effort working with scientists from Honeywell or 3M on one of the following topics: (1) Signal processing and computational ocean acoustics (Honeywell); (2) Diffractive optics; Maxwell equations in periodic structure (Honeywell); (3) Computational fluid mechanics - viscous free-surface flows (3M); (4) Scattering of electromagnetic waves from complex objects (3M); (5) Magneto-optic recording media; the writing process (3M); and 50% effort in the regular IMA program. Requirements and application procedure are the same as for the postdoctoral memberships listed above. All correspondence should be sent to either VISITING MEMBERSHIP COMMITTEE or INDUSTRIAL MATHEMATICS POSTDOCTORATE MEMBERSHIP COMMITTEE Institute for Mathematics and its Applications University of Minnesota 514 Vincent Hall 206 Church St. S.E. Minneapolis, MN 55455-0436 The University of Minnesota. is an equal opportunity educator and employer, and !ipecifica.lly invites and encourages applications from women and minorities. IMA PARTICIPATING INSTITUTIONS: Georgia Institute of Technology, Indiana. Univer•ity, Iowa. Stale University, Michigan State University, Northern Illinois University, Northwestern University, Ohio State University, Pennsylvania. State University, Purdue University, University of Chicago, University of Cincinnati, University of Houston, University of Illinois (Chicago}, University of Illinois (Urbana.), University of Iowa, University of Manitoba. University of Michigan, University of Minnesota., University of Notre Dame, University of Pittsburgh, Wayne State University. IMA PARTICIPATING CORPORATIONS: Bellcore, Cra.y Research, Ea.stma.n Kodak, General Motors, Honeywell, IBM, Motorola., 3M, UNISYS PRINCETON UNIVERSITY PRESS Georg Cantor Mathematics and His Mathematics and Philosophy of the Infinite Plausible Reasoning Joseph Warren Dauben Volume 1: Induction and Analogy in Mathematics One of the greatest revolutions in mathematics occurred when Georg Cantor (1845-1918) promulgated his theory of Volume II: Patterns of Plausible Inference transfinite sets. This revolution is the subject of Joseph Dauben's important study-the most thorough yet written-of G. Polya the philosopher and mathematician who was once called a Here the author of How to Solve It explains how to become a 'corrupter of youth' for an innovation that is now a vital "good guesser." Marked by G. Polya's simple, energetic prose component of elementary school curricula. and use of clever examples from a wide range of human activities, this two-volume work explores techniques of guess "Historians of mathematics can only be grateful for the ing, inductive reasoning, reasoning by analogy, and the role effort Professor Dauben has expended to create the they play in the most rigorous of deductive disciplines. synthesis of cantor scholarship found in this book. But the book can, and I hope will, be read with profit by a far more "Polya ... does a masterful job of showing just how extensive audience." -Thomas Hawkins, Historia Mathematics plausible reasoning is used in mathematics .... The Now in paper: $14.95 ISBN 0-691-02447-2 material in both volumes is fresh and highly original; the presentation is stimulating, informal, and occasionally humorous; examples from science, legal reasoning, and daily life make the arguments clear even to a nonspecialist. Exponential Sums and Polya's book is a rare event.... "-Morris Kline, Scientific American Volume 1: $12.95 Now in paper ISBN 0-691-02509-6 Differential Equations Volume II: $12.95 Now in paper ISBN 0-691-02510-X Nicholas M. Katz This book is concerned with two areas of mathematics, at first sight disjoint, and with some of the analogies and interactions Automorphic between them. These areas are the theory of linear differential equations in one complex variable with polynomial co-efficients, Representation of Unitary and the theory of one parameter families of exponential sums over finite fields. After reviewing some results from representa Groups in Three Variables tion theory, the book discusses results about differential Jonathan D. Rogawski equations and their differential galois groups (G9a1) and one parameter families of exponential sums and the1r geometric The purpose of this book is to develop the stable trace formula monodromy groups (Gmono). The final part of the book is devoted for unitary groups in three variables. The stable trace formula is to comparison theorems relating G9a1and Gmono of suitably then applied to obtain a classification of automorphic represen "corresponding" situations, which provide a systematic expla tations. This work represents the first case in which the stable nation of the remarkable "coincidences" found "by hand" in the trace formula has been worked out beyond the case of SL (2) hypergeometric case. and related groups. Many phenomena which will appear in the Annals of Mathematics Studies, 124 general case present themselves already for these unitary Paper: $22.50 ISBN 0-691-08599-4 groups. Cloth: $65.00 ISBN 0-691-D8598·6 Annals of Mathematics Studies, 123 In Japan, order from United Publishers Services Paper: $19.95 ISBN 0-691-08587-0 Cloth: $60.00 ISBN 0-691-08586-2 In Japan, order from United Publishers Services AT YOUR BOOKSTORE OR I Princeton University Press 41 WILLIAM ST. • PRINCETON, NJ 08540 • (609) 258-4900 • ORDERS: 800-PRS-ISBN (777-4726) INTERNATIONAL JOURNAL OF MATHEMATICS (IJM) International Journal of Mathematics publishes original papers in mathematics in general, but giving a preference to those in the areas of mathematics represented INTERNAliONAL JOURNAL OF by the editorial board. The journal will be published bi-monthly from 1991, to MATHEMATICS bring out new results without delay. Occasionally, expository papers of excep Volurna1,NumW2,June1190 tional value may also be published. The first issue appeared in March 1990. NEW PAPERS On Approximation Properties for Operator Spaces (E G Effros & Z J Ruan) Pro-/ Branched Coverings IP1 and Higher Circular /-Units (G W Anderson & Y lhara) SOME PAPERS Imbedding Cauchy-Riemann Manifolds into a Sphere (l Lempert) On the Existence of Holomorphic Solutions of Systems of Unear Differential Equations of Infinite Order and with Constant Coefficients (T Kawai & D C Struppa) An Application of Mordell's Conjecture to a Characterization of Galois Groups, (!):Quadratic Case (K-1 Hashimoto) Harmonic Maps Between Spheres and Ellipsoids (J Eells & A Rano) Topological Characterization of Stein Manifolds of Dimension > 2 (Y Ellashberg) A New Invariant Infinitesimal Metric (S Kobayashi) Space Curves with Nonzero Torsion (B Totaro) and others. 4 issues per year (1990) & 6 issues per year (1991) INTERNATIONAL JOURNAL OF ~ INTERNATIONAL JOURNAL OF ~ ALGEBRA AND COMPUTATION (/JAC, ~ COMPUTATIONAL GEOMETRY AND -.,.toe~ APPLICATIONS (/JCGA) The International Journal of Algebra and Computation will publish original papers in mathematics in general. Fields of interest in This is a quarterly journal devoted to the field of computational clude: Infinite groups and monoids; Theory of scientific computa geometry within the framework of design and analysis of algo tion; Combinatorics, algebra, and universal algebra; Automata, rithms, and its applications. Emphasis is placed on the compu languages, and machines; Word problems for algebraic systems; tational aspects of geometric problems that arise in various fields Theory of computation; Automatic groups. of science and engineering. Research contributions ranging from 4 issues per year (1991) theoretical results in algorithm design, implementation of geomet ric algorithms, such as numerical stability, and papers with a geo REVIEWS IN metric flavor are included. MATHEMATICAL PHYSICS (RMP) 4 issues per year (1991) REVIEWS IN MATHEMATICAL PHYSICS fills the need for a review journal in the field. The review papers - introductory and survey papers - are of interest not only to mathematical physi cists, but also to mathematicians and theoretical physicists inter ested in interdisciplinary topics. The topics that are covered by this journal include, among others, gauge fields, quantum field theory, statistical mechanics, dynamical systems, functional analysis, and interactions between theoretical physics and pure mathematics. 4 issues per year (1990) & 6 issues per year (1991) WORLD SCIENTIFIC PUBLISHING CO. PTE. LTD. •USA office: 687 Hartwell Street, Teaneck, NJ 07666-5309, USA Toll-free: 1-800-227-7562 Telefax: 1-201-837-8859 •UK office: 73 Lynton Mead, Totteridge, London N20 SOH, ENGLAND Telefax: 44-81-4463356 Tel: 44-81-4462461 •SINGAPORE office: Farrer Road, P 0 Box 128, SINGAPORE 9128 Telefax: 65-3825919 Tel: 65-3825663 NATIONAL UNIVERSITY OF SINGAPORE DEPARTMENT OF MATHEMATICS Applications arc invited for teaching appointments at the Lecturer or Senior Lecturer level from candidates who are able to teach in one or more of the following areas: Pure Mathematics Applied Mathematics Operational Research Statistics Candidates should possess a PhD degree in Mathematics and have a strong commitment to teaching and research. Gross Annual emoluments range as follows: Lecturer S$50,390 - 64,200 ScniorLccturcr S$58,680 - 100,310 (US $1.00 = S $1.81 approximately) The commencing salary will depend on the candidate's qualifications, experience and the level of appointment offered. Leave and medical benefits will be provided. Depending on the type of contract offered, other benefits may include: provident fund benefits or an end-of-contract gratuity, a settling-in allowance of S$1,000 or S$2,000, subsidised housing at nominal rentals ranging from S$100 to S$216 p.m., education allowance for up to three children subject to a maximum of S$10,000 per annum per child, passage assistance and baggage allowance for the transportation of personal effects to Singapore. Staff members may undertake consultation work, subject to the approval of the University, and retain consultation fees up to a maximum of 60% of their gross annual emoluments in a calendar year. The Department of Mathematics is a department in the Faculty of Science. There are 8 faculties in the National University of Sin gapore with a current student enrolment of some 14,000. All departments are well-equipped with a wide range of facilities for teaching and research. All academic staff have access to the following computer and telecommunication resources: an individual microcomputer (an IBM AT -compatible for Apple Macintosh); an IBM mainframe computer with 16 MIPS of computing power; an NEC SX supercomputer with 650 MFLOPS of computing power; departmental laser printers; a wide spectrum of mainframe and microcomputer software; voice-mail; BITNET to access academic institutions world-wide. An on-line library catalogue is also available. In addition, a proposed campus network based on state-of-the-art optical fibre technology will be installed by end of 1990 to facilitate resource sharing and electronic communication for the academic community. Application forms and further information on terms and conditions of service may be obtained from: The Director The Director Personnel Department North America Office National University of Singapore National University of Singapore 10 Kent Ridge Crescent 55 East 59th Street Singapore 0511 New York, NY 10022, USA Tel: (212) 751-0331 Enquiries may also be sent through BITNET to: PERPL @ NUS3090, or through Telefax: (65) 7783948. CORNELL t: :\ 1 \. I; J( S 1 T Y Mathematical Postdoctoral Positions Sciences ~ Institute The Mathematical Sciences Institute of Cornell University is beginning its search for postdoctoral visitors for the academic year beginning August, 1991. MSI will offer appointments for research in the following areas: ~ Nonlinear Analysis :J Stochastic Analysis ::J Symbolic Methods in Algorithmic Mathematics Details about each program can be obtained from: Mathematical Sciences Institute Suite 321, 409 College Avenue Ithaca, NY 14850-4697 Application Procedure for Postdoctoral Visitors The Institute prefers scientists who are not more than five years beyond the doctoral degree. Candidates are eligible for academic year appointments with possible extension to a second academic year. The salary is $33,000 for nine months, plus benefits. The deadline for '91-'92 applications is January 4, 1991, and awards will be made by February 15, 1991. In addition to a curriculum vitae, three (3) letters of recommendation are required, one of which should come from the thesis advisor. Reprints of published articles are appreciated. The candidate should specify a mathematical scientist at Cornell with whom (s)he expects to be associated. Candidates must be U.S. citizens. All appointments are contingent on award of Army Research Office contracts in the listed research areas. The Mathematical Sciences Institute has cooperative faculty from many scientific departments at Cornell University. A list of mathematical scientists is available from the MSI office. The Associate Director (W. V. Kone, 607-255-8005) is available to answer remaining questions. The Mathematical Sciences Institute is partially funded by the U. S. Army Research Office. Cornell University is an Equal Opportunity/Affirmative Action Employer. New Series! KLUWER FOR MATHEMATICS Nonlinear Topics in the Mathematical Structures Mathematical Sciences of Nonlinear Science, An International Book Series Dealing with Past, An Introduction Current, and Future Advances and Developments in the by Melvyn S. Berger, University of Massachusetts at Amherst Mathematics ofNonlinear Science Series Editor: Melvyn S. Berger, UMass/Amherst This book will provide you with the fundamentals of nonlinear analysis and its applications in science and technology. Mathematical Struc This series will publish monographs and expositions tures ofNonlinear Science presents fundamental ideas of nonlinear accessible to a l:iroad mathematically trained audience, partial differential equations, bifurcations, iteration processes, and the de~cribing new advances in the mathematics of nonlinear calculus of variations. It presents, for the first time, an exposition of sctence. basic ideas such as nonlinear desingularization, vortex bre8kdown, Hilbert spaces of almost periodic functions, nonlinear mathematical The most important current advances will be covered and aspects of type-II superconductivity, global aspects of geometry involv links between past discoveries and future developments will ing nonlinear elliptic partial differential equatiOns, and a complete new be highlighted. Typical topics include integrable systems theory of integrability with classic examples. and their perturbations, nonlinear partial differential eCluations, dynamical systems, soh tons, nonlinear exten Mathematical Structures of Nonlinear Science is intended for mathe siolll! of Maxwell's equations and high technology, vortices, maticians, physicists and engineers interested in nonlinear analysis and nonhnear quantum phenomena. its applicatiOns. The book is recommended for researchers and students. Mathematical Structures of Nonlinear Science is the first book in Kluwer's new series --Nonlinear Topics in the Mathematical Sciences. Send Your Order To: 1990 ISBN 0·7923-0728-3 Cloth 430pp. $99.00 Kluwer Academic Publishers Special AMS Price: $74.25 In North America The Rest of the World Order Department P.O. Box 322 KLUWER ACADEMIC PUBLISHERS is offering a 25% discount to individual members of the American Mathematical Society. Orders must be prepaid, sent directly to the publisher, P.O. Box 358, Accord Station 3300 AH Dordrecht and include the signed statement, "I am a member of the AMS, this purchase is for my own personal use." Hingham, MA 02018-0358 The Netherlands ARIZONA STATE UNIVERSITY Department of Mathematics The Department of Mathematics invites applications for tenure-track and visiting faculty positions beginning in August 1991. Computational Aspects The Department is in the fourth year of a major development program intended to build of VLSI Design nationally recognized research groups in Department of Computational Mathematics, Differential with an Emphasis on Mathematics Equations (including POE's), Discrete Semiconductor Mathematics, Dynamical Systems, Operator Colby anticipates having two Theory, Algebraic Geometry and Number Device Simulation regular (i.e., tenure track) faculty Theory, Systems and Control and Probability openings (at any level) in math and Statistics. During the past three years, 21 ematics/computer science, com tenure-track or tenured appointments have Randolph E. Bank, Editor mencing September 1991. Our been made, and we anticipate making at (Lectures in Applied Mathematics, aim is to fill one vacancy in least five appointments during each of the Volume 25) algebra and one in computer next two academic years, pending final science (exact interests not impor budgetary approval. Numerical simulation is rapidly becoming tant). A strong research program Although most of the appointments will be an important part of the VLSI design plus a firm commitment to made at the Assistant Professor level, the process, allowing the engineer to test, undergraduate teaching Department anticipates making a limited are evaluate, and optimize various aspects of essential for these positions. The number of appointments at the Associate and chip PhD degree is required. Full Professor levels. At all levels, preference design without resorting to the costly will be given to candidates who reinforce and time-consuming process of fabricat We particularly welcome applica existing strengths in targeted research groups. ing prototypes. This procedure not only tions from women, and well Candidates at the Assistant Professor level qualified female applicants at the must demonstrate potential for outstanding accelerates the design process, but also level of Assistant or Associate research while providing effective teaching at improves the end product, since it is Professor will in addition be con both the undergraduate and graduate levels economically feasible to numerically in a public university environment. sidered for one of the For candi college's dates at the Associate Professor level, addi simulate many more options than might Clare Boothe Luce Chairs for tional requirements include a proven record otherwise be considered. With the women scientists. of outstanding research accomplishments and enhanced computing power of today's versatile and effective teaching. At the Full Colby is a highly selective, computers, more sophisticated models arc private, liberal arts college with Professor level, applicants must be recog nized nationally for the quality and scope of now being developed. an enrollment of 1700 students. their research and leadership activities. Sala The Mathematics Department ries are competitive and commensurate with This volume contains the proceedings of has 9 full-time and one part-time experience and qualifications. faculty, and teaches bachelor's the AMS-SIAM Summer Seminar on courses in mathematics In support of its research and graduate Computational Aspects of VLSI Design, and education computer programs, the Department has science. The college installed an Advanced Computing Facility held at the Institute for Mathematics and provides generous support for centered around a network of Titan Mini Its Applications at the University of faculty research. Super Graphics computers plus a cluster of Minnesota, in the spring of 1987. The The college offers a rich com work stations. Research efforts are enhanced by direct access seminar featured presentations by some of puting environment based on to the University's CRAY XMP-18/se and IBM 3090-SOOENF super the top experts working in this area. Their VAX mainframes and Apple computers. All faculty and graduate student contributions to this volume form an Macintosh workstations (llfx, Ilcx offices are linked by Ethernet to both excellent overview of the mathematical and SE30). The Mathematics Departmental and University-wide facilities. Department in-house teaching/ and computational problems arising in research laboratory comprises 18 Arizona State University has more than 43,000 this area. students and is Macintosh Illllcx computers, a located in the rapidly growing Phoenix Metropolitan area-a center of central fileserver, and associated business, finance and high technology. The 1980 Mathematics Subject Classification: visual-display apparatus. An valley offers a wide range of educational, 35G, 65L, 65M, 65N Internet connection provides cultural and recreational opportunities. ISBN 0-8218-1132-0, LC 89-18355, access to supercomputers Pleasant and convenient housing is and widely ISSN 0075-8485 other networked resources. Colby available near the university campus. 200 pages (hardcover), February 1990 is an acknowledged national leader Applications should be received by Individual member $32, List price $53, in the development of computer December 1, 1990, and the Department Institutional member $42 aided instruction in mathematics. will begin to review applications as ofthis To order, please specify LAM/25NA Please send a letter of application date. The deadline will be extended on a and a month-to-month basis until all available resume, and the names of positions are filled. three referees, to: Professor Keith Devlin, Chair, Department of Applicants should send their resumes and ~~~~~ Mathematics, Colby College, arrange for at least three letters of "&;;;:,c;f.i(,~ recommendation to be sent to: William Waterville, ME 04901. Review of T. All prices subject to change. Free shipment by Trotter, Chair, Department of Mathematics, applications will begin December 5, surface; for air delivery please add Arizona State University, Tempe, AZ $6.50 per 1990, and continue until the posi 85287-1804. AAIEOE title. Prepayment required. Order from tions are filled. Colby is an AA/EO American Mathematical Society, P.O. Box Employer and strongly encour ARIZONA STATE UNIVERSITY 1571, Annex Station, Providence, RI 02901- ages applications from women 1571, or call toll free 800-321-4AMS (321- and minorities. 4267) in the continental U.S. and Canada to charge with VISA or MasterCard. The Faculty of Sciences at the UNIVERSITY OF BERNE, SWITZERLAND Leo Tames 'fEX. invites applications for the position of: With Leo you can write mathematics and see it on your PC's screen as you type. Leo displays PROFESSOR OF MATHEMATICS special symbols, fractions, matrices, square roots, super and sub scripts, fonts, accents. Matrices, parentheses, braces, etc. automatically adjust to the required size. Leo reads and writes T'F.X files. preferably in the field of geometry, analysis or topology. Candidates Print with Leo draft printer, or with your should exhibit outstanding research accomplishments. Willingness to 'fBX teach at all University levels is expected. Applicants should send a pro~ram. Convenient menu and control key oper curriculum vitae, a list of publications and an outline of the prospective ation. Requires IBM PC or compatible with 512k. research activities to: Specify AMS'IE;X or LA'IEX· $150. MC/VISA or check. Erziehungsdirektion des Kantons Bern Amt fur Hochschulwesen (1000.255/90) Sulgeneckstr. 70 Draft printing matches screen display: CH-3005 Bern, Switzerland The closing date for applications is December 31, 1990. [~:: -c::: l The Faculty is currently evaluating candidacies for another vacant ABK Software position in mathematics. I 4495 Ottawa Place Further information is available from Prof. H. M. Reimann, head of the Boulder, CO 80303 Department of Mathematics of the University of Berne, Sidlerstrasse 5, I (303)-494-4872 CH-3012 Bern. I ======~ ma WESTERN KENTUCKY Faculty Positions UNIVERSITY Applications are invited for several tenure-track posi DEPARTMENT HEAD tions in applied mathematics and statistics starting DEPARTMENT OF MATHEMATICS September 1, 1991. Candidates must have a Ph.D. The Department of Mathematics is seeking an energetic and enthusiastic individual to serve as Head of the Department. The and demonstrated research and teaching ability. Department consists of 28 full-time faculty and offers baccalaureate and masters degree programs with approximately Duties include teaching undergraduate and graduate 270 undergraduate majors and minors. courses, and advising student projects and theses. Western has an enrollment of 15,000 students and is located in Appointments will be made at all levels, depending Bowling Green, KY (population approximately 50,000), two hours south of LouiSVIlle and one hour north of Nashville TN along on the qualifications of the applicant. interstate 1-65. ' The successful candidate will hold a Doctorate in Mathematics NJIT does not discriminate on the basis of sex, color, han and have at least five years of college teaching experience. Appllcan~s sho~ld demonstrate administrative leadership skills dicap, religion, national or ethnic origin or age in and prov1de evidence of effective teaching, public service, and employment. research/scholarly activities. Review of applications will begin February 1, 1991, and will Send Vitae to: Personnel Box MATH-AM. cont1nue until the position is filled, with expected date of appointment July 1, 1991. Send letter of application, vita, and names, addresses and phone numbers of at least three references to: Office of Academic Affairs, Mathematics Department Head Search, Western Kentucky University, Bowling Green, KY 42101. An Affirmalive Action/Equal Opportunity Employer. Women and minorities are encouraged to apply. Theory of Singularities and its Applications V.I. Arnold, Editor The Soviet Academy rJfSciences has authorized a new hook series, co-edited hy V.I. Arnold, S.G. Gindikin, and V. Maslov, to he puhlished only in English hy the American Mathematical Society. Advances in Soviet Mathematics will contain collections oftop-quality artidesfocused on an area ofmathematical research having a strong research group in the Soviet Union. Each ofthe two to three volumes per year will have its own editor who is an outstanding mathematician connected with the research school represented hy the volume. The appearance of this new series attests to the vitality and productivity of researchers in the Soviet Union and will help to disseminate their results to a wider segment r!f the international mathematical sciences community. The theory of singularities lies at the crossroads between those branches of mathematics which are the most abstract and those which are the most applied. Algebraic and differential geometry and topology, commutative algebra and group theory are as intimately connected to singularity theory as are dynamical systems theory, control theory, differential equations, quantum mechanical and quasi-classical asymptotics, optics, and functional analysis. This collection of papers incorporates recent results of participants in the editor's ongoing seminar in singularity theory, held in the Mechanics and Mathematics Department of Moscow University for over twenty years. With its broad range of subject matter, this volume will appeal to a wide range of readers in various areas of the mathematical sciences. Among the topics covered are: construction of new knot invariants, stable cohomology of complementary spaces to diffusion diagrams, topological properties of spaces of Legendre maps, application of Weierstrass bifurcation points in projective curve flattenings, classification of singularities of projective surfaces with boundary, nonsmoothness of visible contours of smooth convex hypersurfaces, flag manifolds, hyperbolic partial differential systems, and control theory. 1980 Mathematics Subject Classifications: 35, 55, 57, All prices subject to change. Free shipment by sur 58, 14, 33, 15, 53, 32, 05, 34, 46, 93 face; for air delivery, please add $6.50 per title. ISBN 0-8218-4100-9, LC 90-45636, ISSN I 051-8037 Prepayment required. Order from American 333 pages (softcover), October 1990 Mathematical Society, P.O. Box 1571, Annex Station, Individual member $75, List price $125, Providence, RI 02901-157l,orcall toll free 800-321- Institutional member $100 4AMS (321-4267) in the continental U.S. and Can To order, please specify ADVSOV/INA ada to charge with Visa or MasterCard. Application for Membership 1991 AMERICAN MATHEMATICAL SOCIETY (January-December) Date ...... 19 ...... Please 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 return it as soon as possible. Your name will be added to our mailing tion about publications in fields of mathematics in which lists upon our receipt of your completed application, and payment for you have an interest, please consult the list of major member dues. headings of the 1 980 Mathematics Subject Classifica Subscriptions to the Notices and the Bulletin (New Series) are in tion below. Select no more than five category num cluded as part of your membership. 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 cial sales in the fields you have indicated. Family Name First Middle Please indicate below the way your name should appear in the Combined 00 General Membership List. 01 History and biography 03 Mathematical logic and foundations 04 Set theory Family Name First Middle or Initial 05 Combinatorics 06 Order, lattices, ordered algebraic structures Place of Birth ....•...... •.••.•.•••.....•....•.•.•.•..•...... 08 General mathematical systems City State Zip/Country 1 1 Number theory 1 2 Field theory and polynomials Date of Birth ...... ••...... •...... •...... •...... 1 3 Commutative rings and algebras Day Month Year 1 4 Algebraic geometry If formerly a member of AMS, please indicate dates ...... •.•...... 15 Linear and multilinear algebra; matrix theory 1 6 Associative rings and algebras Check here if you are now a member of either MAA 0 or SIAM 0 1 7 Nonassociative rings and algebras 18 Category theory, homological algebra Degrees, with institutions and dates .•••...... ••.•.•.•...•.•.. 19 K-theory 20 Group theory and generalizations 22 Topological groups, Lie groups 26 Real functions 28 Measure and integration 30 Functions of a complex variable 3 1 Potential theory Present position ...••.•...... ••..•.•.....•..•.•..•••.•...•..•• 32 Several complex variables and analytic spaces 33 Special functions Firm or institution ...... ••...... 34 Ordinary differential equations 35 Partial differential equations 39 Finite differences and functional equations City State Zip/Country 40 Sequences, series, summability 4 1 Approximations and expansions Primary Fields of Interest (choose five from the list at right) 42 Fourier analysis 43 Abstract harmonic analysis 44 Integral transforms, operational calculus 45 Integral equations Secondary Fields of Interest (choose five from the list at right) 46 Functional analysis 4 7 Operator theory 49 Calculus of variations and optimal control; optimization Address for all mail 51 Geometry 52 Convex sets and related geometric topics 53 Differential geometry 54 General topology 55 Algebraic topology 57 Manifolds and cell complexes 58 Global analysis, analysis on manifolds 60 Probability theory and stochastic processes 62 Statistics 65 Numerical analysis Signature 68 Computer science 70 Mechanics of particles and systems 73 Mechanics of solids Prepayment Methods and Mailing Addresses 76 Fluid mechanics All payments must be in U.S. Funds. 78 Optics, electromagnetic theory Send checks, money orders, UNESCO coupons to American Mathemat 80 Classical thermodynamics, heat transfer ical Society, P.O. Box 1571, Annex Station, Providence, Rl 02901-1571 8 1 Quantum mechanics 82 Statistical physics, structure of matter To use VISA or MasterCard, fill in information requested and mail to 83 Relativity American Mathematical Society, P.O. Box 6248, Providence, Rl 02940- 85 Astronomy and astrophysics 6248. 86 Geophysics 90 Economics, operations research, programming, For Foreign Bank Transfers: The name and address of the AMS bank is games Rhode Island Hospital Trust National Bank, Account #000-753-111, One 92 Biology and behavioral sciences Hospital Trust Plaza, Providence, Rl 02903, U.S.A. 93 Systems theory; control VISA o MasterCard o ...... 94 Information and communication, circuits Account number Expiration date Membership Categories Reciprocating Societies Please read the following to determine what membership category you 0 Allahabad Mathematical Society are eligible for, and then indicate below the category for which you are 0 Asociaci6n Matematica Espanola applying. 0 Australian Mathematical Society For ordinary members whose annual professional income is below $45,000, 0 Berliner Mathematische Gessellschaft e.V. the dues are $75, for those whose annual professional income is $45,000 or 0 Calcutta Mathematical Society more, the dues are $100. 0 Dansk Matematisk Forening The CMS Cooperative Rate applies to ordinary members of the AMS who 0 Deutsche Mathematiker-Vereinigung e.V. are also members of the Canadian Mathematical Society and reside outside of 0 Edinburgh Mathematical Society the U.S. For members whose annual professional income is $45,000 or less, 0 Gesellschaft fOr Angewandte the dues are $64 and for those whose annual professional income is above Mathematik und Mechanik $45,000, the dues are $85. 0 Glasgow Mathematical Association For a joint family membership, one pays ordinary dues, based on his or 0 Indian Mathematical Society her income, and the other pays ordinary dues based on his or her if1come, less $20. (Only the member paying full dues will receive the Notices and the 0 Iranian Mathematical Society Bulletin as a privilege of membership, but both members will be accorded all 0 Irish Mathematical Society other privileges of membership.) 0 islenzka Staerofraeoafelagio Minimum dues for contributing members are $150. 0 Israel Mathematical Union For either students or unemployed individuals, dues are $2 5, and annual 0 Janos Bolyai Mathematical Society verification is required. 0 Korean Mathematical Society The annual dues for reciprocity members who reside outside the U.S. and 0 London Mathematical Society Canada are $50. To be eligible for this classification, members must belong to 0 Malaysian Mathematical Society one of those foreign societies with which the AMS has established a reciprocity 0 Mathematical Society of Japan agreement, and annual verification is required. Reciprocity members who 0 Mathematical Society of the Philippines reside in the U.S. or Canada must pay ordinary member dues ($75 or $1 00). The annual dues for external members, those who reside in developing 0 Mathematical Society of the Republic of China countries which do not have any mathematical society, are $53. 0 New Zealand Mathematical Society Members can purchase a multi-year membership by prepaying their cur · 0 Nigerian Mathematical Society rent dues rate for either two, three, four or five years. This option is not 0 Norsk Matematisk Forening available to either unemployed or student members. 0 Osterreichische Mathematische Gesellschaft 0 Polskie Towarzystwo Matematyczne 1991 Dues Schedule (January through December) 0 Punjab Mathematical Society For any category of membership where more than one dues level is given, 0 Ramanujan Mathematical Society see the above for descriptions of Members' Categories. 0 Real Sociedad Matematica Espanola 0 Sociedad Colombiana de Matematica Ordinary member ...... 0$750$100 0 Sociedad de Matematica de Chile CMS Cooperative rate .•...•.....•.••.•••...... •.•.. 0 $64 0 $85 0 Sociedad Matematica de Ia Republica Dominicana Joint family member (full rate) ...... •....•.•..... 0 $75 0 $100 0 Sociedad Matematica Mexicana 0 Sociedade Brasileira Matematica Joint family member (reduced rate) •..•.•...... •... 0 $55 0 $80 0 Sociedade Brasileira de Matematica Contributing member (minimum $150) ...... 0 Aplicada e Computacional 0 Sociedade Paranaense de Matematica Student member (please verify) 1 •••••••••••••••••••••••••••• 0 $25 0 Sociedade Portuguese de Matematica 0 Societat Catalana de Matematiques Unemployed member (please verify)2 •••••••••••••••••.•••••• 0 $25 0 Societe de Mathematiques Appliquees Reciprocity member (please verify)3 •••••••••••• 0 $50 0 $75 0 $100 et lndustrielles 0 Societe Mathematique de Belgique External member • . • • . • • • . . . . . • . . . . . • . • . . • • . . • . . . • . . . . . • . . 0 $53 0 Societe Mathematique de France 0 Societe Mathematique Suisse Multi-year membership ..•.•.•.....•.•••••.. $ ...... for ....•. years 0 Southeast Asian Mathematical Society 1 Student Verification (sign below) 0 Suomen Matemaattinen Yhdistys 0 Svenska Matematikersamfundet I am a full-time student at •....••.•.••.•...... ••.•..•...... •.. 0 Union Mathematica Argentina ••....••••••.•..•••••.....•••.•.. currently working toward a degree. 0 Unione Matematica ltaliana 0 Vijnana Parishad of India 2 Unemployed Verification (sign below) I am currently unemployed and 0 Wiskundig Genootschap actively seeking employment. My unemployment status is not a result of voluntary resignation or of retirement from my last position. 3 Reciprocity Membership Verification (sign below) I am currently a mem ber of the society indicated on the right and am therefore eligible for reciprocity membership. Signature Order Form For VISA or MasterCard orders, send to: For orders with remittances, send to: American Mathematical Society American Mathematical Society P.O. Box 6248 P.O. Box 1571. Annex Station Providence. Rhode Island 02940-6248 Providence. Rhode Island 02901-1571 (800) 321-4AMS (321-4267) (401) 455-4000 Ordered by:------Mail to (if different):------ QTY CODE AUTHOR and TITLE PRICE $ D Air Delivery Total due (All orders must be prepaid in U.S. funds) $ Charge by phone in the continental U.S. and Canada 800-321-4AMS {321-4267) D Check or Money Order DVISA D MasterCard Card I Number~--~----~--~--~--~----~--~--~--~----~--~---L--~----~--~---L--~~~ Card Expiration Date Signature------ Shipping and Handling Prices are subject to change without notice. Books are sent via surface mail {UPS to U.S. addresses and printed matter elsewhere) unless air delivery is requested. The shipping and handling charges for air delivery book orders are shown in the table. Free shipment by surface: for air delivery. Journal back numbers, Mathematical Reviews indexes and review volumes are sent via surface mail to any destination unless air deliv please add $6.50 per book. ery 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. Software: Nonindividual customers need not prepay provided a Purchase Order number is given with the order. Soft ware/books are sent via UPS to U.S. addresses and via U.S. postal NOT I service air parcel post to addresses outside the U.S. Add shipping and handling for Software/Books: SB per order in the U.S. and Canada; $35 per order air delivery outside the U.S. and Canada. Customers in these areas should request price information from and direct their orders to the following distributors: Please send information about Europe/Middle East/ Africa: Clarke Assoc.-Europe Ltd., 13a Small Street, Bristol BS1 1DE. England. Tel. 01-0272- D AMS individual membership 268864, Telex 445591 CALORB G; Fax 0272-266437 D AMS institutional membership Japan: Maruzen Co. Ltd., P.O. Box 5050, Tokyo Interna D AMS corporate membership tional 100-31, Japan. Tel. Tokyo 272-7211, Telex J26516 India: Allied Publishers Pvt. Ltd., 15, J. N. Herdia Marg., D AMS institutional associate Ballard Estate, Bombay 400038, India Staple here Fold here NO POSTAGE NECESSARY IF MAILED IN THE UNITED STATES BUSINESS REPLY MAIL FIRST-CLASS MAIL PERMIT NO. 5548 PROVIDENCE, RI POSTAGE WILL BE PAID BY ADDRESSEE Customer Services AMERICAN MATHEMATICAL SOCIETY P. 0. Box 6248 Providence, RI 02940-6248 111 ••••• 1.11.1 ••• 1•• 111 ••• 1.1 •• 1.1 ••• 1•• 1•• 11.11 ••• 1 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: ______Customercode: ______ Changeeffectiveasof ______ 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): ------Recenthonorsandawards: ______ Personal items for publication in Notices: ------ Mail completed form to: Customer Services, AMS, P.O. Box 6248, Providence, RI 02940 Staple here Fold here NO POSTAGE NECESSARY IF MAILED IN THE UNITED STATES BUSINESS REPLY MAIL FIRST-CLASS MAIL PERMIT NO. 5548 PROVIDENCE, RI POSTAGE WILL BE PAID BY ADDRESSEE Customer Services AMERICAN MATHEMATICAL SOCIETY P. 0. Box 6248 Providence, RI 02940-6248 111 ••••• 1.11.1 ••• 1•• 111 ••• 1.1 •• 1.1 ••• 1•• 1•• 11.11 ••• 1 Fold here Fasten PAYMENT securely OPERATOR THEORYI OPERATOR ALGEBRAS AND APPLICATIONS William B. Arveson mperator theory has come of age during the last twenty years. The subject has developed in several directions using new and powerful Ronald G. Douglas methods that have led to the solution of basic problems previously Editors thought to be inaccessible. In addition, operator theory has had funda mental connections with a range of other mathematical topics. For example, operator theory has made mutually enriching contacts with Proceedings other areas of mathematics, such as algebraic topology and index theory, complex analysis, and probability theory. The algebraic methods em of Symposia ployed in operator theory are diverse and touch upon a broad area of in mathematics. There have been direct applications of operator theory to systems theory and statistical mechanics. And significant problems and Pure Mathematics motivations have arisen from the subject's traditional underpinnings for partial differential equations. Volume Dhis two-volume set contains the proceedings of an AMS Summer 51 Institute on Operator Theory/Operator Algebras, held in July 1988 at the University of New Hampshire. The Institute sought to summarize prog ress and examine the common points of view that now run through the American subject. With contributions from some of the top experts in the field, this Mathematical publication illuminates a broad range of current research topics in opera Society tor theory. 1980 Mathematics Subject Classification: 46L, 47 A, 478, 58G ISBN 0-8218-1486-9, LC 90-33771, ISSN 0082-0717 Part 1-640 pages, Part 2-385 pages (hardcover), July 1990 Individual member $104, List price $174, Institutional member $139 To order, please specify PSPUM/51NA 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 1571, Annex Station, Providence, RI 02901-1571, or call toll free 800-321-4AMS (321-4267) in the continental U.S. and Canada to charge with VISA or MasterCard. James G. Glimm, John Impagliazzo, and Isadore Singer, Editors Proceedings of Symposia in Pure Mathematics Volume 50 The ideas of John von Neumann have had a profound influence on modem mathematics and science. One of the great thinkers of our century, von Neumann initiated major branches of mathematics-from operator algebras to game theory to scientific computing-and had a fundamental impact on such areas as self-adjoint operators, ergodic theory and the foundations of quantum mechanics, and numerical analysis and the design of the modem computer. This volume contains the proceedings of an AMS Symposium in Pure Mathematics, held at Hofstra University, in May 1988. The symposium brought together some of the foremost researchers in the wide range of areas in which von Neumann worked. These articles illustrate the sweep of von Neumann's ideas and thinking and document their influence on contemporary mathematics. In addition, some of those who knew von Neumann when he was alive have presented here personal reminiscences about him. This book is directed to those interested in operator theory, game theory, ergodic theory, and scientific computing, as well as to historians of mathematics and others having an interest in the contemporary history of the mathematical sciences. This book will give readers an appreciation for the workings of the mind of one of the mathematical giants of our time. 1980 Mathematics Subject Classification: 28DXX, 46LXX, All prices subject to change. Free shipment by 65XX, 76XX, 81XX ~t-:~\\EM<"'?-tc surface; for air delivery, please add $6.50 per ISBN 0-8218-1487-7 I LC 90-33765, ISSN 0082-0717 $ ~ TPHTOIMH':'d~~ title. Prepayment required. Order from 334 pages (hardcover), July 1990 ii ~ S \~ American Mathematical Society, Individual member $34, List price $56, ~ < "' ~ P.O. Box 1571, Annex Station, Institutional member $45 Providence, RI 02901-1571, To order, please specify PSPUM/SONA or call toll free 800-321-4AMS (321-4267) in the continental U.S. and Canada to charge with VISA or MasterCard. AMERICAN MATHEMATICAL SOCIETY MAA Minicourse Preregistration Form, San Francisco, California January 16-19, 1991 NOTE: This is NOT an AMS Short Course Form. Please use the Joint Meetings Pregistration/Housing Form to preregister for the AMS Short Course. To register for MAA Minicourse(s), please complete THIS FORM or a PHOTOCOPY OF THIS FORM and return it with your payment to: Linda Heineman Mathematical Association of America 1529 Eighteenth Street, N.W. Washington, DC 20036 Telephone: 202-387-5200 Telephone: ------(Please print) Surname First Middle Street address City State Zip • Deadline for MAA Minicourse preregistration: November 16, 1990 (After this date, potential participants are encouraged to call the MAA headquarters at 800-331-1622.) • Deadline for cancellation in order to receive a 50% refund: January 2, 1991 • Each participant must fill out a separate Minicourse Preregistration form. • Enrollment is limited to two Minicourses, subject to availability. • Please complete the following and send both form and payment to Linda Heineman at the above address: I would like to attend D 1 Minicourse D 2 Minicourses Please enroll me in MAA Minicourse(s): # __ and#-- In order of preference, my alternatives arc: #-- and #-- • PAYMENT Check enclosed: $ __ Credit card type: D MasterCard D Visa Credit card#------Expiration date: ------ Your Employing Institution Signature (as it appears on credit card) Minicourse Number and Name Organized by Fee 1. Calculus as a laboratory science Marcelle Bessman $60 2. The use of computing in teaching linear algebra Eugene A. Herman & Charles H. Jepsen $60 3. The mathematics of computer graphics .Jack Goldfeathcr $36 4. Elementary robotics Walter Meyer $36 5. Using pocket computers to enhance the Bert K. Waits & Franklin Demana $36 teaching and learning of precalculus and calculus 6. Pedagogical uses of Derive and GyroGraphics Jerry Johnson & Benny Evans $60 7. Symmetry analysis of repeated patterns Donald W. Crowe $36 8. The theory and application of discrete dynamics James T. Sandefur $36 9. Combinatorial designs Walter D. Wallis $36 10. Chaotic dynamical systems Robert L. Devaney $36 11. A survey of educational software Virginia Knight & Vivian Kraines $60 12. Writing in mathematics courses George D. Gopen & David A. Smith $36 13. Great theorems from mathematical analysis: 1689 1881 William Dunham $36 14. Actuarial mathematics Jonathan Kane $36 15. Learning abstract algebra by programming in ISETL Ed Dubinsky & Uri Leron $60 16. A mathematician's introduction to the HP-48SX scientific John Kenelly & Don LaTorre $36 expandable calculator for first-time users 17. Instituting a mathematics placement program: Mary McCammon $36 Creating order out of chaos in freshman mathematics D I plan on preregistering for the San Francisco, California meetings ONLY in order to attend the MAA Minicourse(s) indicated above. It is my understanding that, should the course(s) of my choice be filled, full refund of the San Francisco meetings preregistration fee will be made. D I would like to preregister for the free Student Workshop organized by the MAA Committee on Student Chapters. NEW NOTICES CLASSIFIED RATES TO BEGIN JANUARY 1991 Beginning in January 1991 classified advertising rates in the Notices will be $55 per inch on a single column (one inch minimum), calculated from top of type; $25 for each additional l/2 inch or Instructions for Applicant's Form fraction thereof. on facing page The form. Applicants' forms submitted for the Em Advertisements in the "Positions Available" classified section are set ployment Register will be photographically reproduced with a minimum one-line headline, consisting ofthe institution name in the December 1990 issue of Employment Informa above body copy, unless additional headline copy is specified by the tion in the Mathematical Sciences {ElMS}. Resumes of only those attending will be posted at the meeting. advertiser. Advertisements in other sections of the classified pages The forms must be carefully typed using a fresh insertion. will be set according to the advertisement black ribbon. The best results are obtained with a carbon-coated polyethylene film ribbon, but satisfac Headlines are centered in boldface at no extra charge. Classified tory results may be obtained using a ribbon made of rates are calculated from the top of the type in the headline to the nylon or other woven fabric if suitable care is exer bottom of the type in the body copy, including lines and spaces cised. It is important that the keys be clean and make within. Any fractional text will be charged at the next l/2 inch rate. a sharp, clear impression. Do not erase-it causes smudges which reproduce when photographed. Use a Additional details may be found on the correcting typewriter or correction tape or fluid if nec Advertising Rate Card. Any questions essary. Submit the original typed version only. Copies should be directed to the AMS Adver will not reproduce properly and are not acceptable. tising Department, P.O. Box 6248, Hand lettered forms will be returned. Do not type Providence, Rl 02940; telephone 401- outside the box. 455-4000 or 800-321-4AMS (321- Applicants' forms must be received by the Society by November 16, 1990 in order to appear in the spe 4267) in the continental U.S. and cial issue of ElMS and must be accompanied by the Canada; FAX 401-331-3842. Preregistration/Housing Form printed in this issue, if attending the meeting. @ Specialties AL = Algebra AN = Analysis BI = Biomathematics BS = Biostatistics CB = Combinatorics CM = Communication FINITE GEOMETRIES CN = Control CS = Computer Science AND COMBINATORIAL DESIGNS CT = Circuits DE = Differential Equations EC = Economics ED = Mathematical Education Earl S. Kramer FA =Functional Analysis FI =Financial Mathematics and Spyros S. Magliveras, Editors FL = Fluid Mechamcs GE = Geometry HM = History of Math LO = Logic Contemporary Mathematics, Volume Ill MB = Mathematical Biology ME = Mechanics MO = Modelling MP = Mathematical Physics More than eighty participants from all over the world attended an MS =Management Science NA = Numerical Analysis AMS Special Session on Finite Geometries and Combinatorial De NT= Number Theory OR= Operations Research signs held in Lincoln, Nebraska in the fall of 1987. This volume PR =Probability SA =Systems Analysis ST = Statistics TO = Topology contains the proceedings of that Special Session, in addition to several invited papers. Employing state-of-the-art combinatorial and geomet @ Career Objectives ric methods, the papers show significant advances in this area. Topics AR = Academic Research AT = Academic Teaching range over finite geometry, combinatorial designs, their automorphism NR =Nonacademic R&D NC = Nonacad. Consulting groups, and related structures. NS =Nonacademic Supervision Requiring graduate-level background, this book is intended primar @CD Duties ily for researchers in finite geometries and combinatorial designs. T =Teaching U =Undergraduate However, the interested nonspecialist will find that the book provides G =Graduate R =Research an excellent overview of current activity in these areas. C = Consulting A = Administration S = Supervision IND =Industry GOV = Government DP = Data Processing 1980 Mathematics Subject All prices subject to change. Free Location ClassificaTions: 05, 51 shipment by surface; for air delivery, E =East S = South ISBN 0-8218-5118-7, LC 90-45302, please add $6.50 per title. Prepay C =Central M =Mountain ISSN 0065-9266 meliT required. Order from W =West 0 = Outside U.S. I = Indifferent 312 pages (softcover), October 1990 American Mathematical Society, Individual member $32, P.O. Box 1571, Annex Station, List price $53, Providence, RI 02901-1571, or call Institutional member $42 toll free 800-32!-4AMS (321-4267) To order, please specify in the continental U.S. and Canada to CONM/ll!NA charge with Visa or MasterCard. MATHEMATICAL SCIENCES EMPLOYMENT REGISTER APPLICANT FORM JANUARY 16-18, 1991 SAN FRANCISCO, CALIFORNIA 1. Form must be typed. (Please see instructions on facing page.) 2. This form CANNOT be submitted by electronic mail. 3. Hand lettered forms will be returned. Do not type beyond the box 4. Please check if Preregistration/Housing Form previously sent D 5. Return form with payment with your Preregistration/Housing Form by November 16 to AMS, P.O. Box 6887, Providence, RI 02940. APPLICANT: Name______CODE: Mailing address (include zip code)------ @ Specialties, ______@ Career objectives and accomplishments ACADEMIC: D Research, D Teaching NON-ACADEMIC: D Research and Development, D Consulting, D Supervision Near-term career goals ______ Significant achievements or projects, including role ______ Honors and offices, ______Other (e.g., paper to be presented at THIS meeting)------ Selected titles of papers, reports, books, patents'------ @ Degree Year Institution @ No. of abstracts, internal reports___ __ @ No. of papers accepted______® No. of books and patents;______EMPLOYMENT HISTORY: Present Previous Previous @Employer______------Position @Duties Years ______to ______to ______to ______DESIRED POSITION:: ______Q) Duties______Q) Available mo. __ fyr ·-- Location ______@References (Name and Institution) © Citizenship: (check one) D U.S. Citizen 0 Non-U.S. Citizen, Permanent Resident D Non-U.S. Citizen, Temporary Resident @ AVAILABLE FOR INTERVIEWS: (Interviews for Session 4 scheduled on the basis of employer's request only.) Session 1 D Session 2 0 Session 3 D Session 4 D Thurs. AM 9:30-11:45 Thurs. PM 1:15-5:00 Fri. AM 9:30-11:45 Fri. PM 1:15-5:00 I do not plan to attend the San Francisco meetings D EMPLOYER FORM MATHEMATICAL SCIENCES EMPLOYMENT REGISTER SAN FRANCISCO, CALIFORNIA JANUARY 16-18, 1991 This form CANNOT be submitted by electronic mail .. INSJRUCTIQNS: Please read carefully before completing form below. Circled letters identify corresponding items in the FORM and the SUMMARY STRIP; abbreviations to be used are provided in the notes below. Please print or type in black ink. Block capitals are suggested. The FORM itself will be placed on display at the Register exactly as submitted. The SUMMARY STRIP (be sure to complete) will be used to prepare a computer printed list of summaries for distribution at the Register sessions. Employers are encouraged to provide more than one interviewer when they are able to do so, in order to increase the number of interviews which may be scheduled. Please take care to indicate on the Form the number of interviewers for whom simultaneous interviews may be scheduled. (If all interviewers will be interviewing for the same position, or for the same set of positions, only one form should be submitted and only one employer code number will be assigned; therefore, each interviewer would then receive a separate computer schedule and separate table number.) More than one employer code will be required if some interviewers will not interview for all positions. Thus, if there are two disjoint sets of positions, two forms are required and two employer codes will be assigned. (Please refer to the secdon on the Employment Register following the San Francisco meeting announcement.) Return form with payment with your prereglstrtion/Housing form by Nov. 16. EMPLOYER CODE Institution Dept Name oflnterviewer(s) 1. 2. 3. 4. City, State, Zip @ Title(s) ofPosition(s) @ Number of Positions Number of People Supervised ©Starting I Term of Appointment Date mo. --=-yr=.----- @ @ Renewal ( ) Possible Tenure Track Position yrs. ( ) Impossible Yes ( ) No ( ) Teaching hrs./wk ® Specialties Sought @ Degree Preferred @ Degree Accepted Q)Duties __ Q) Experience ® Citizenship Resl'i.ction © Available for Interviews Session 1 ( ) Session 2 ( ) Session3 ( ) Session 4 ( ) • Thurs. AM, 9:30-11:45 Thurs. PM, 1:15-5:00 Fri. AM, 9:30-11:45 Fri. PM, 1:15-5:00 @ Number of Interviewers Interviewers Interviewers Interviewers Interviewers @start Institution City State ® Title of position ®No. mo. I yr. I I I I I I I I I I I I I I I I I I I I 1,1I I I I I I I I I I I I I I I I I,CIJ,II I I ll I I I I,[IJ[]]10] @ @ ® Specialities sought @ @ Q) Duties CDExperience @ © Sessions D,D,rnrnrnrnrn,rnrnrnrnrn,D,D,IIIIliiiii,IIIII,IIIII,DJ,DDDD NOTES: @ Inst, Lect, Asst Prof, Asso Prof, Prof, Dean, Open, MTS (Member Technical Staff), OPAN (Operations Analyst), PREN (Project Engineer), RESC (Research Scientist); © Date e.g. 01/91; ® Possible=P, Impossible=!; ® Algebra=AL, Analysis=AN, Biomathematics=BI, Biostatistics=BS, Combinatorics=CB, Communication=CM, Control=CN, Computer Science=CS, Circuits=CT, Differential Equations=DE, Econornics=EC, Mathematical Education=ED, Functional Analysis=FA, Financial Mathematics=Fl. Fluid Mechanics=FL. Geometry=GE, History of Mathematics=HM, Logic=LO, Mathematical Biology.=MB, Mechanics=ME, Modeling=MO, Mathematical Physics=MP, Management Science=MS, Numerical Analysis=NA, Number Theory=NT, Operations Research=OR, Probability=PR, Systems Analysis=SA, Statistics=ST, Topology=TO; @@ Bachelor=B, Master=M, Doctor=D; (!)(f) Teaching=T, Undergraduates=U, Graduates=G, Research=R, Consulting=C, Administration=A, Supervision=S, Industry=IND, Government=GOV, Data Processing=DP, no experience required=N; @ U.S. Citizen~U.S. Citizen or permanent resident=CP, No restriction=NR; © Periods available for in~rviews:Check 1, 2, 3, and/or 4, see the FORM above. * Interviews are scheduled in this session on the bas1s of employers request only. Preregistration/Housing Form, San Francisco, California January 16-19, 1991 Please complete this form and return it with your payment to Mathematics Meetings Service Bureau P.O. Box 6887, Providence, Rhode Island 02940- Telephone: (401} 455-4143-Telex: 797192 DEADLINES: Room Lottery Qualification November 9, 1990 Preregistration/Employment Register /Hotel Reservations November 16, 1990 Final Preregistration ONLY December 17, 1990 Housing Changes/Cancellations December 12, 1990 50% Refund Preregistration/Employment Register/ AMS Short Course Cancellation January 11, 1991 (no refunds after this date) Other Changes to Preregistration January 2, 1991 50% Refund on Banquets January 2, 1991 (no refunds after this date) REGISTRATION FEES Preregistration by At Meeting December 17, 1990 JOINT MATHEMATICS MEETINGS $ $ Member of AMS, CMS, MAA, NCTM 105 137 Nonmember 163 212 * Student, Unemployed, or Emeritus 25 33 AMS SHORT COURSE Member/Nonmember 55 70 Student, Unemployed, or Emeritus 25 30 EMPLOYMENT REGISTER -Employer fee (1st Interviewer) 120 160 - Employer fee (2nd / 3rd Interviewer) 60 75 - Applicant fee 25 40 - Posting fee for job descriptions for noninterviewing employers 25 25 (N.B.: A separate form appears in this issue for preregistration for MAA Minicourses) * All full-time students currently working toward a degree or diploma qualify for the student registration fees, regardless of income. The unemployed status refers to any person currently unemployed, actively seeking employment, and who is not a student; it is not intended to include persons who have voluntarily resigned from their latest position. The emeritus status refers to any person who has been a member of the AMS or MAA for twenty years or more and is retired on account of age or on account of long term disability from his or her latest position. PREREGISTRATION SECTION: Please check the function(s) for which you are preregistering: Joint Meetings D AMS Short Course (January 14-15, 1991} D Employer D Co-Interviewer D Applicant D Posting D 1} Telephone: ------(Please print) Surname First Middle 2} (Mailing address) I do not wish my badge, program, and/or Employment Register material to be mailed; however, the mailing address for my acknowledgement Is given above. D 3} Badge information: a) Nickname (optional}: b) Affiliation c) City&State ------4} I am a student at 5} Emeritus member D Unemployed D MR Classification # ------6} Member of AMS D CMS D MAA D NCTM D Nonmember D Member of other organizations: AWM D NAM D 7) Joint Meetings fee$ 8} AMS Short Course fee$ 9} Employer fee(s) $ 10} Co-Interviewer fee(s) $ ____ 11} Applicant fee$ 12} Posting fee$ 13} Hotel deposit$ (necessary ONLY If paying deposit by check} 14} AMS 25-Year Banquet ticket(s)@ $30 each=$ 15} NAM Banquet ticket(s)@ $32 each=$----- 16} MER Banquet ticket(s) @ $30 each = $ _____17} ____ AWM 20th Anniversary Banquet ticket(s) @ $30 each = $ _____ 18} TOTAL AMOUNT ENCLOSED FOR 7 through 17 $ NOTE: May be paid by check payable to AMS (Canadian checks must be marked "U.S. Funds") or VISA or MasterCard credit cards. Credit card type: ; Card number: ; Expiration date: ------If this is your credit card, please print your name as it appears on the credit card on the line below as well as sign your name. If this is not your credit card, please print card holder's name as it appears on the credit card on the line below, and have the card holder sign: (Printed name) (Signature} Please complete the appropriate sections on the reverse. For office use only: Codes: Options: Hotel: Room type: Dates: Hotel Deposit Total Amt. Paid: Special Remarks: Special Special Please Please I I 0 0 •• •• GUARANTEE GUARANTEE attention attention The The room room The The at at Please Please will will • • HOUSING HOUSING will will Reservations Reservations an an Participant Participant be be Mark Mark hotels hotels PLEASE PLEASE arrive arrive guarantees. guarantees. unranked unranked rank rank assigned assigned housing housing list list will will does does Twain listed listed on on hotels hotels other other SECTION: SECTION: be be CHECK CHECK (date) (date) requests, requests, a a given given must must below below for for PLEASE PLEASE REQUIREMENTS: REQUIREMENTS: room room hotel hotel in in room room choice choice Order Order order order suites suites not not to to are are be be HERE HERE at at with with handicapped handicapped participants participants occupants; occupants; have have another another a a of of full full of of SUPPLY SUPPLY must must certified certified preference preference the the service service IF IF nonsmoking nonsmoking The The Hotel Hotel King King Handlery Handlery Hilton Hilton YOU YOU FULL FULL be be hotel hotel next next Raphael Raphael Standard Standard Standard Standard Superior Superior Deluxe Deluxe THIS THIS EVEN EVEN George George with with Mark Mark hotels. hotels. needs, needs, made made indicating indicating student student (Headquarters (Headquarters WILL WILL by by at at NAME NAME available available $50 $50 Hotel Hotel special special writing writing INFORMATION INFORMATION the the rooms. rooms. Twain Twain etc.: etc.: Hotel Hotel directly directly by by IF IF The The - - NOT NOT next next Regular Regular Student Student or or check check HOUSING HOUSING Hilton, Hilton, needs. needs. ages ages 1, 1, The The unemployed unemployed rate. rate. at at available available REQUIRE REQUIRE 2, 2, Hotel) Hotel) OR OR with with hotels hotels 3, 3, of of or or Please Please Handlery, Handlery, Rates Rates etc. etc. children. children. a a Unempl. Unempl. ON ON the the credit credit rate. rate. listed listed IS IS in in listed listed note note A A PREREGISTRATION/HOUSING PREREGISTRATION/HOUSING THE THE the the Service Service NOT NOT (as (as ROOM ROOM If If ** ** card card and and below below spaces spaces that that not not below below described described REVERSE, REVERSE, Raphael Raphael NEEDED, NEEDED, guarantee guarantee Single Single 107 107 the the are are all all Bureau. Bureau. 95 95 69 69 69 69 71 71 75 75 82 82 65 65 70 70 at at are are equipped equipped hotels hotels King King the the subject subject offer offer 0 0 on on Double Double Double Double left left together together ARRIVAL ARRIVAL 1 1 with with George George 120 120 107 107 The The bed bed PLEASE PLEASE 65 65 65 65 95 95 the the 70 70 75 75 75 75 75 75 a.m./p.m., a.m./p.m., are are a a on on PLEASE PLEASE for for LIMITED LIMITED to to VISA, VISA, form, form, hotel hotel opposite opposite ranked, ranked, 11% 11% handicapped; handicapped; and and with with 2 2 N/A N/A N/A N/A DATE DATE 107 107 120 120 beds beds and and MasterCard, MasterCard, 95 95 70 70 sales/occupancy sales/occupancy the the GIVE GIVE CHECK CHECK can can and and mailing mailing and and FORM, FORM, Raphael Raphael by by number number side side depart depart supply supply 2 2 circling circling Triple Triple N/A N/A N/A N/A N/A N/A N/A N/A ARRIVAL/DEPARTURE ARRIVAL/DEPARTURE 140 140 115 115 127 127 beds beds all all however, however, address address (See (See HERE HERE 85 85 65 65 of of San San on on rooms rooms of of offer offer this this or or general general Hilton Hilton the the nonsmoking nonsmoking (date) (date) American American 2 2 Francisco, Francisco, IF IF tax. tax. for for form) form) a a the the beds beds requested requested YOU YOU limited limited Triple Triple N/A N/A N/A N/A N/A N/A have have N/A N/A N/A N/A N/A N/A N/A N/A confirmation confirmation King King 85 85 Information Information categories categories wfcot wfcot to to WILL WILL Express Express been been California California number number George George rooms. rooms. qualify qualify room room BE BE filled filled 2 2 Quad Quad N/A N/A N/A N/A N/A N/A N/A N/A of of 135 135 147 147 160 160 beds beds (for (for type type below.) below.) is is All All 95 95 65 65 of of STAYING STAYING room room for for only. only. not not twin twin DATES DATES of of at at housing housing DEPARTURE DEPARTURE and and these these equipped equipped the the 2 2 the the reservation. reservation. beds. beds. beds beds rate. rate. rooms rooms N/A N/A N/A N/A Quad Quad N/A N/A N/A N/A N/A N/A N/A N/A ranked ranked AT AT only). only). rates. rates. BELOW. BELOW. wfcot wfcot If If for for A A the the in in at at HOTEL/MOTEL HOTEL/MOTEL the the DATE DATE No No the the hotels, hotels, rate rate other other handicapped handicapped King King (starting (starting requested requested 192 192 192 192 110+ 110+ 192 192 125 125 192 192 165 165 178 178 Suites* Suites* the the credit credit George George + + + + + + + + + + assignment assignment rates) rates) cards cards is is wheelchairs. wheelchairs. with have have NOT NOT no no January January longer longer will will I I I I windows windows LISTED LISTED be be will will available, available, accepted accepted 16-19, 16-19, that that a.m./p.m. a.m./p.m. be be BELOW BELOW Special Special made made open. open. 1991 1991 you you for for Handbook of Numerical This volume contains expounded veffiions of the lectures given at the recent Colloquium. The papeffi Analysis are mostly devoted to the study of asymptotic edited by P.G. Ciarlet, Universite Pierre et Marie properties of (and stability problems relating to) Curie, Paris and J.L. Lions, College de France, solutions of ordinary and functional differential Paris equations. Also featured is the new approach to nonlinear differential equations, using the methods of series of volumes which will cover all the major abstract dynamical systems. Papers concerned with of Numerical Analysis, serving as the basic applications in mechanics, physics, biology, and work on the subject. Each volume will control, may also be found. on one, or two, particular topics and will ''""'"'ntii::.llv self-contained. Each article, written by in-depth survey, reflecting the most in the field. Classification Theory -la~1db1:>0k will cover the basic methods of and the Number of Non-Isomorphic Models Analysis, under the following general Second Revised Edition • of Equations in Rn byS.Shelah Difference Methods Element Methods (Studies in Logic and the Foundations of of Scientific Computing Mathematics, 92) Theory and Systems Science. 1990 740 pages Price: US $242. 75/Dfl. 425.00 ISBN 0-444-70260-1 In this research monograph, the author's work on classification and related topics are presented. This revised edition brings the book up to date with the addition of four new chapters as well as various corrections to the 1978 text. The additional chapters X- XIII present the solution to countable first order T of what the author sees as the main test of the theory. In Chapter X the Dimensional Proof Theory and Order Property is introduced and it is shown to be a meaningful dividing line for superstable theories. In Complexity Chapter XI there is a proof of the decomposition theorems. Chapter XII is the crux of the matter: there Volume I An Introduction (J. T. is proof that the negation of the assumption used in (Studies in Proof Theory, 1) F<:tiim"t"'" for Elliptic Problems Chapter XI implies that in models of T a relation can in Finite Element be defined which orders a large subset of miMI. This edited by J.-Y. Girard Mixed and Hybrid Methods theorem is also the subject of Chapter XIII. . Eigenvalue Problems 1987 504 pages Evolution Problems (H. Price: US $114.25/Dfl. 200.00 ISBN 0-444-98715-0 Send your orders to: Published by Bibliopolis, Naples, Italy. In the USA and Canada: Distributed in Italy by Bibliopolis, and in Elsevier Science Publishing Co. Inc., the world by Elsevier P.O. Box 882, Madison Square Station, This volume is the first in a series which will, New York, NY 10159, USA. future, be published jointly by Bibliopolis, Telex: 420643 di Filosofia e Scienze spa, Napoli, and Fax: (New York) 212-633-3990 North-Holland imprint by Elsevier Science In all other countries: Publishers, Amsterdam. "Proof and Elsevier Science Publishers, Complexity, Volume I" is the first of a attn: Marijcke Haccou, P.O. Box 103, 1000 ACAmsterdam. covering the main ideas and techniques The Netherlands. theory. This volume is introductory, Telex: 18582 espa nl Hilbert (whose second problem in the Fax: (Amsterdam) 020-5862-616 problems of 1900 was the consistency of theory), describing Hilbert's program and its We accept Access, Eurocard, MasterCard, at the hands of Godel. It then proceeds with American Express, VISA (with signature and expiry Gentzen's result (the Hauptsatz is the main result date noted) as well as Bank Draft/Eurocheque/ Part I) and improvements and generalizations to International Money Order/Postal Cheque/ w-logic. Volume II will cover more "advanced" logics. Official Purchase Order Form. US$ prices are valid only in the USA and Canada. In all other countries the Dutch Guilder (Dfl.) price is definitive. No postage will be added to prepaid book NORTH- orders.Customers in The Netherlands. please add 6% Springer for Mathematics B.L. van der Waerden, retired, University of ZUrich R.L. Bryant, Duke University, Durham, NC; S.-S. Chern, Mathematical Sciences Research Institute, Algebra Berkeley, CA; R.B. Gardner, University of North Volume I and Volume II Carolina, Chapel Hill, NC; H.L. Goldschmidt, In part based on lectures by E. Artin Columbia University, New York, NY; and E. Noether; Translated by J.R. Schulenberger P.A. Griffiths, Duke University, Durham, NC This widely known textbook, formally entitled Modem Exterior Differential Systems Algebra is now back in print. It originated from notes Provides both graduate students and researchers taken by the author from Emil Artin's lectures. Vander with a modem exposition of the theory of exterior differential Waerden then extended the scope of these notes to systems. The authors, who have worked extensively include the research of Emmy Noether and her students. in both the theory and the applications of exterior differen "The basic notions of algebra. groups, rings, modules, tial systems, place heavy emphasis on examples which fields, and the main theories pertaining to these notions will help the reader to develop computational skills as are treated in the classical two 1•olume rextbook of \'On well as gain a theoretical understanding of this tech der Waerden. Although more than half a century has nique. Only a basic, working knowledge of manifolds elapsed since the appearance of this remarkable book, it and exterior differential forms is needed. is in no way dated, and for the majority of the questions it Topics include: a review of exterior algebra, simple treats, no beller source can be found even today." exterior differential systems, the generation of integral - J.R . Shafarevich: Algebra I, Encyclopaedia of manifolds through the solution of a succession of initial Mathematical Sciences, Volume I I, 1990 value problems, involution, linear differential systems, Algebra: Volume I tableau and torsion, the characteristic variety of a differ 1990/app. 265 pp./Hardcover/$29.95 ential system, prolongation, the algebra of a linear pfaf ISBN 0-387-97424-5 fian system, and an introduction to Spencer theory. Algebra: Volume II 1990/app. 544 pp./Hardcover/$49.00 1990/app. 284 pp./Hardcover/$29.95 ISBN 0-387-97411-3 ISBN 0-387-97425-3 Mathematical Sciences Research Institute Publications, Volume 18 B.P. Palka, University of Texas at Austin, TX An Introduction to Complex J. Hubbard and B. West, Cornell University, Ithaca, NY Function Theory Differential Equations: Provides a rigourous yet elementary introduction to the A Dynamical Systems Approach theory of analytic functions of a single complex variable. This non-traditional text provides a link between the Starting from basic definitions, the text slowly and care standard course in differential equations and courses in fully develops the ideas of complex analysis to such a dynamical systems. Starting from the premise that differ degree that Cauchy's theorem, the Riemann mapping the ential equations often have extraordinarily complex solu orem, and the theorem of Mittag-Leffler can be treated tions, Beverly West and John Hubbard have developed a without sidestepping any issues of rigor. Each chapter text with interactive computer graphics programs, that concludes with a wide selection of exercises. capitalizes on the impact of visualization to make under 1990/app. 560 pp., 138 illus./Hardcover/$39.00 standable this abstruse area of mathematics. As the ISBN 0-387-97427-X authors state, "A major resulr of the computer graphics Undergraduate Texts in Mathematics approach is rhat srudents become immediately convinced of the reality of the marhemarics ... When an absrracr issue j. Hubbard and B. West, Cornell University, Ithaca, NY can be ried ro reality, ir becomes so much easier." MacMath This first volume of a three volume set includes one dimensional equations. Volume II will cover hrgher A Dynamical Systems Software Package dimensional systems and Volume III will cover partial An updated collection of twelve interactive graphics differential equations. programs for the Macintosh computer, addressing differ 1990/app. 280 pp.,l32 illus./Hardcover/$39.00 ential equations and iteration. These versatile programs ISBN 0-387-97286-2 greatly enhance the understanding of the mathematics in Texts in Applied Mathematics, Volume 5 these topics. Qualitative analysis of the pictures leads to quantitative results and even to new mathematics. The MacMath programs encourage experimentation and vastly increase the number of examples to which a stu Three Easy Ways to Order: dent may be quickly exposed. They are also ideal for • Call: Toll-Free 1-800-SPRINGE(R): 777-4643. exploring applications of differential equations and In NJ call 201-348-4033 (8:30 · 4:30 PM EST). iteration, which, roughly speaking, form the interface Your reference number is S664. between mathematics and the real world. This is how • Write: Send payment plus $2.50 for postage mathematics models a changing situation, whether it be and handling to: Springer-Verlag New York, Inc., physical forces or predator-prey populations. MacMath Attn: S. Klamkin- Dept. S664, 175 Fifth Avenue, permits easy investigation of various models, particular New York, NY 10010. ly in showing the effects of a change in parameters on • Visit: Your local technical ultimate behavior of the system. bookstore. 1990/app. 125 pp., 35 illus., plus 2 diskettes/Softcover/~9.00 Order Today! ISBN 0-387-97416-4 f Springer-Verlag New York Berlin Heidelberg • Vienna • London • Paris • Tokyo • Hong Kong • Barcelona