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OTICES OF THE

AMERICAN MATHEMATICAL SOCIETY

Joint Meeting with the Mathematical Society page 32

JANUARY 1992, VOLUME 39, NUMBER 1 · Providence, Rhode Island, USA ISSN 0002-9920 Calendar of AMS Meetings and Conferences

This calendar lists all meetings and conferences approved prior to the date this is possible. Abstracts should be submitted on special forms which are available issue went to press. The summer and annual meetings are joint meetings of the in many departments of mathematics and from the headquarters office of the So­ Mathematical Association of America and the American Mathematical Society. The ciety. Abstracts of papers to be presented at the meeting must be received at the meeting dates which fall rather far in the future are subject to change; this is par­ headquarters of the Society in Providence, Rhode Island, on or before the deadline ticularly true of meetings to which no numbers have been assigned. Programs of given below for the meeting. The abstract deadlines listed below should be care­ the meetings will appear in the issues indicated below. First and supplementary fully reviewed since an abstract deadline may expire before publication of a first announcements of the meetings will have appeared in earlier issues. Abstracts of announcement. Note that the deadline for abstracts for consideration for presenta­ papers presented at a meeting of the Society are published in the joumal Abstracts tion at special sessions is usually three weeks earlier than that specified below. For ofpapers presented to the American Mathematical Society in the issue correspond­ additional information, consult the meeting announcements and the list of special ing to that of the Notices which contains the program of the meeting, insofar as sessions.

Meetings

Abstract Program Meeting# Date Place Deadline Issue 872 • March 13-14, 1992 Tuscaloosa, Alabama January 2 March 873 • March 20-21, 1992 Springfield, Missouri January 2 March 874 • April11-12, 1992 Bethlehem, Pennsylvania January30 April 875 • June 29-July 1, 1992 Cambridge, England February 28 May-June (Joint Meeting with the London Mathematical Society) 876 • October 30-November 1, 1992 Dayton, Ohio August 3 October January 13-16, 1993 San Antonio, Texas (99th Annual Meeting) March 26-27, 1993 Knoxville, Tennessee April9-10, 1993 Salt Lake City, Utah April17-18, 1993 Washington, D.C. May 21-22, 1993 DeKalb, Illinois August15-19, 1993 Vancouver, British Columbia (96th Summer Meeting) (Joint Meeting with the Canadian Mathematical Society) October 22-23, 1993 College Station, Texas January 12-15, 1994 Cincinnati, Ohio (100th Annual Meeting) March 18-19, 1994 Lexington, Kentucky March 25-26, 1994 Manhattan, Kansas January 25-28, 1995 Denver, Colorado (101st Annual Meeting) March 24-25, 1995 Chicago, Illinois January 10-13, 1996 Orlando, Florida (1 02nd Annual Meeting) • Please refer to page 38 for listing of Special Sessions.

Conferences

March 5-8, 1992: Joint Workshop on Changing the culture: education July 6-24, 1992: AMS Summer Research Institute on Quadratic and the research community, Oakland/Berkeley, California. forms and division algebras: Connections with algebraic K-theory June 13-July 24, 1992: Joint Summer Research Conferences in the and algebraic geometry, University of California, Santa Barbara. Mathematical Sciences, Mount Holyoke College, South Hadley, July 26-August 1, 1992: AMS-SIAM Summer Seminar in Applied Massachusetts. Mathematics, Exploiting symmetry in applied and numerical analysis, Colorado State University, Fort Collins, Colorado. Deadlines

March Issue April Issue May/June Issue July/August Issue Classified Ads* January 30, 1992 February 26, 1992 May 5, 1992 June 16, 1992 News Items January 21, 1992 February 20, 1992 April 20, 1992 June 8, 1992 Meeting Announcements•• January 23, 1992 February 24, 1992 April 23, 1992 June 11, 1992 • Please contact AMS Advertising Department for an Advertising Rate Card for· display advertising deadlines. •• For material to appear in the Mathematical Sciences Meetings and Conferences section. OTICES OF THE

AMERICAN MATHEMATICAL SOCIETY

DEPARTMENTS FEATURE COLUMNS 3 Letters to the Editor 5 Forum 8 Computers and Mathematics Keith Devlin 20 News and Announcements Keith Devlin discusses the development of computer tools to support 24 1992 AMS Elections cooperative work by possibly large research and development teams. Also, Maurino Bautista reviews Models, Roger Pinkham takes a look at 27 Meetings and Conferences of Calculator (CC), and Marvin Margolis reviews two programs, Derive 2.0 and the AMS ODE. Tuscaloosa, AL March 13-14, 27 Springfield, MO AMS 17 Inside the March 20-21, 29 Lenore Blum, Vice President of the AMS, reports on the Third Pan-African Joint Workshop on Congress of Mathematicians held in Nairobi last August and offers some Changing the Culture: suggestions for cooperative efforts between the American and African Education and the Research mathematical communities. Community, 31 Cambridge, England June 29-July 1, 32 Invited Speakers, 38 1992 Summer Seminar in Applied Mathematics, 41 1992 Summer Research Conferences in the Mathematical Sciences, 42 1992 Summer Research Institute, 44 46 Mathematical Sciences Meetings and Conferences 58 New AMS Publications 61 Miscellaneous Personal Items, 61 Deaths, 61 Visiting Mathematicians, 61 62 New Members of the AMS 63 AMS Policy on Recruitment Advertising 64 Classified Advertising 87 Forms

JANUARY 1992, VOLUME 39, NUMBER 1 From the Executive Director ...

A WASHINGTON OFFICE The AMS will open an office in Washington, DC in 1992. For many years, the AMERICAN MATHEMATICAL SOCIETY Society has contemplated, with growing frequency and concern, its distance, physical and psychological, from the Washington, DC area. Benefits of having an AMS office in Washington have been discussed and weighed, generally with positive conclusions. In a recent consensus report involving the leadership, membership, and staff of the Society, the Strategic Planning Task Force (SPTF) clarified the Society's mission EDITORIAL COMMITIEE and set a strategic direction in response to numerous issues facing the mathemat­ Michael G. Crandall ical sciences community. Most prominent among these are maintaining the health Amassa Fauntleroy and vitality of mathematical research, reforming mathematics education at all levels, Robert M. Fossum (Chairman) transferring mathematical knowledge to other disciplines and to industry, and mak­ Carolyn S. Gordon (Forum Editor) ing the public aware of the usefulness of mathematics and its connections to solving D. J. Lewis societal and economic problems. These overarching issues demand the Society's at­ L. Ridgway Scott tention. However, the Society is faced with a significant barrier to its effectiveness Robert E. L. Turner (Letters Editor) in addressing such issues; more often than not, these issues are debated, shaped, and MANAGING EDITOR settled in the nation's capital. The SPTF concluded that the AMS must have an effec­ John S. Bradley tive, proactive, and sustaining presence in the national decision-making process-a presence that can best be achieved by physically locating an AMS office and staff in ASSOCIATE EDITORS Washington. Ronald L. Graham, Special Articles Jeffrey C. Lagarias, Special Articles The AMS Washington office will develop effective liaisons for the Society, pro­ viding early knowledge of what is happening in Washington, and conversely, com­ SUBSCRIPTION INFORMATION municating the Society's thinking and activities to Washington. It will coordinate Subscription prices for Volume 39 (1992) are AMS representation of numerous Washington functions and will provide on-the-spot $131 list; $105 institutional member; $79 individ­ availability and quick and informal personal contacts, both valuable for effectiveness ual member. (The subscription price for members within the Washington structure. is included in the annual dues.) A late charge of 10% of the subscription price will be imposed upon Throughout the Society's recent strategic planning exercise, there was a constant orders received from nonmembers after January 1 and strong message that the AMS has important roles beyond its traditional activities. of the subscription year. Add for postage: Surface For the AMS to effectively respond to the needs of the community, it must find delivery outside the United States and lndia-$15; extraordinary funding and engage in sustaining programs and projects on behalf of to lndia-$28; expedited delivery to destinations in mathematics. Some of these activities will be more effectively promoted by having North America-$32; elsewhere-$67. Subscrip­ the physical location and assistance of a Washington office. tions and orders for AMS publications should be addressed to the American Mathematical Society, All Society efforts in government and public affairs will be communicated to, P.O. Box 1571, Annex Station, Providence, Rl and coordinated closely with, the Washington office of the Joint Policy Board for 02901-1571. All orders must be prepaid. Mathematics (JPBM), a partnership of the AMS, the Mathematical Association of America, and the Society for Industrial and Applied Mathematics. JPBM provides a ADVERTISING forum in which the leadership of the three organizations may propose and discuss Notices publishes situations wanted and classified advertising, and display advertising for publishers issues relating to the mathematical sciences and act in concert in areas where joint and academic or scientific organizations. action is likely to be more effective than individual action. Copyright @ 1992 by the American Mathematical Many issues before the community are of common interest to the JPBM orga­ Society. All rights reserved. Printed in the United nizations and require concerted action. On the other hand, the AMS is in a special States of America. position to distinguish the health and vitality of mathematics as a science. The Society The paper used in this journal is acid-free and falls is supporting and building on the reform efforts for mathematics education and the within the guidelines established to ensure perma­ importance of mathematics in solving science, engineering, and societal problems, nence and durability. §Most of this publication while maintaining the Society's primary role of promoting and distinguishing the sci­ was typeset using the TEX typesetting system. ence of mathematics from its service components. The AMS is uniquely positioned to [Notices of the American Mathematical Society is make the case for mathematics and for connections between research and mathematics published monthly except bimonthly in May, June, education and the applications of mathematics. July, and August by the American Mathematical So­ ciety at 201 Charles Street, Providence, Rl 02904- The current Associate Executive Director for programs and government and pub­ 2213. Second class postage paid at Providence, lic affairs will head this office, with a small staff. It is anticipated that mathematicians Rl and additional mailing offices. POSTMASTER: from the community will be recruited to join the staff of the AMS Washington office, Send address change notices to Notices of the on a temporary basis, to assist on various Society projects and programs. American Mathematical Society, Customer Service Department, American Mathematical Society, P. 0. In the near future, a formal announcement will be made about the opening of our Box 6248, Providence, Rl 02940-6248.] Publication Washington office. We invite members to visit our Washington office, as well as our here of the Society's street address, and the other Mathematical Reviews office-in Ann Arbor, Michigan, and the Society's headquarters information in brackets above, is a technical require­ in Providence, Rhode Island. ment of the U. S. Postal Service. All correspon­ dence should be mailed to the Post Office Box, NOT William J aco the street address. Tel: 401-455-4000.

2 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY the ratio of women to men students Calculus Reform Letters varies depending on the college or uni­ I have heard too much recently about versity. "Calculus Reform." I have also seen to the Editor These numbers become even more too often the trite phrase "A pump, not important when it is pointed out that a filter." Why is it that we think there 43% of the women mathematics doctor­ is something wrong with our Calculus ates and 50% of the women engineering courses, and why are we willing to doctorates produced by the nationally spend millions of dollars on Curriculum Development programs? Pipeline from Small Colleges ranked liberal arts colleges hold degrees from one of the five women's colleges This is my third year as a Profes­ The September 1991 (Vol. 38, No. sor of Mathematics at a Liberal Arts 7) issue of Notices presents a spe­ on the list (Barnard, Bryn Mawr, Mount college, and the third year that I have cial section on Women in Mathematics. Holyoke, Smith, and Wellesley). In fact, taught the Calculus sequence. I do not I applaud Notices for such a well­ after combining mathematics and engi­ include f 8 definitions and only give written and timely collection of arti­ neering (M/E), the two schools which proofs of theorems when they are ele­ cles. Among the articles was a piece produced the most, Mount Holyoke and mentary. I emphasize the deep ideas of by D. J. Lewis entitled "Mathematics Bryn Mawr, each yielded ten women Calculus rather than symbolic manipu­ and Women: The Undergraduate School M/E doctorates in the '80s, more than lation. And my classroom delivery has and Pipeline." The main point of the any other liberal arts college, and more been described by many as "extremely Lewis article is that schools need to than seven of the top 25 research uni­ animated." concentrate on retaining and encour­ versities. It is also noteworthy that the More than half of the class this aging women in the field of mathe­ two small colleges in the sample of the Fall flunked the first midterm. For the matics at the undergraduate level. The top 25 which produced the most women most part they were the students who article only mentions the contribution math Ph.D.s in the 1980s (Smith and have not been doing homework and not at the baccalaureate level of research Bryn Mawr) produced five, the same attending class. universities (Michigan, MIT, Berkeley, number as Michigan. Chicago, and Texas), and despairs that Would "Calculus Reform" help? There is additional evidence that The answer is definitely "NO." What only five Michigan women continued small schools may have a better record on to receive the Ph.D. in mathematics we need is Student Reform. The stu­ of encouraging women in the sciences. dents cannot expect to learn Calculus in the 1980s. For the coeducational schools in the However, D. J. Lewis has neglected through osmosis. The feeling I sense top 25 liberal arts college sample, the to recognize the importance of the from many students is that they want average ratio of alumnae to alumni small college, and more specifically, to do the minimum work required to the women's college pipeline to grad­ receiving physical science or engineer­ receive a passing grade. If these stu­ uate programs in this country. In fact, ing doctorates in the 1980s is 0.22, dents are to be our future scientists and the top 25 nationally ranked liberal while the average ratio for the top engineers I am very worried: I would arts colleges1 produced a total of 44 25 research universities is 0.15, not want to fly in a plane designed women Ph.D.s in the mathematical approximately equal to the national and built by individuals who strive for sciences, while the top 25 nationally average. ranked research universities produced Many of the other points made in Letters to the Editor Letters submitted for publication in Notices are 2 the D. J. Lewis article are excellent and 133 women math Ph.D.s , only three reviewed by the Editorial Committee. times that of the liberal arts colleges should be noted. For example, the dis­ Notices does not ordinarily publish com­ in this sample. These numbers are as­ cussion of academic environmental fac­ plaints about reviews of books or articles, al­ tounding considering that each year tors which influence women students is though rebuttals and correspondence concerning reviews in Bulletin of the American Mathemati­ each of the liberal arts colleges pro­ excellent and hopefully will be noted by cal Society will be considered for publication. duce between 200 and 800 graduates, many mathematics departments across Letters should be typed and in legible form while each of the research universi­ the country. Given the above numbers, or they will be returned to the sender, possibly resulting in a delay of publication. All published ties produce between 2000 and 5000 it is also hoped that more research uni­ letters must include the name of the author. Let­ graduates (with few exceptions), re­ versities will recognize the importance ters which have been, or may be, published else­ sulting in far more than three times of the pipeline from small colleges, where will be considered, but the Managing Ed­ the alumnae. Actual Ph.D. productivity itor of Notices should be informed of this fact and specifically women's colleges, to when the letter is submitted. ratios are difficult to obtain, since graduate programs in the mathematical The committee reserves the right to edit let- sciences. ters. · 1College and university samples obtained from Letters should be mailed to the Editor of No­ U.S. News & World Report, Oct. 15, 1990. tices, American Mathematical Society, P. 0. Box 2Data obtained from the Doctoral Records Files Norean Radke Sharpe 6248, Providence, RI 02940, or sent by email to Office of Scientific and Engineering Personnel: Bowdoin College [email protected], and will be acknowl­ National Research Council, April 1991. (Received November 13, 1991) edged on receipt.

JANUARY 1992, VOLUME 39, NUMBER 1 3 Letters to the Editor minimum passing acceptability. too many students have been "pumped Calculus can blossom their thinking. We certainly want as many stu­ through" their earlier classes without But a catalyst cannot make a reaction dents as possible to learn Calculus, but really learning. occur if the necessary ingredients aren't we cannot "pump" unwilling and un­ If we want a more accurate Calcu­ there. interested students unless we want to lus analogy, here is mine: Calculus is a David Sanker pump gross impurities. Perhaps Cal­ catalyst. For those who have some in­ Holy Names College culus has served as a "filter" because terest and motivation (however small), (Received October 21, 1991)

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"McArthur recounts all this amazingly well. His straightforward narrative lets the story tell itself and the chips fall where they may. The individual accounts let us hear the voices of the characters. Tragic anecdotes emerge. Personality conflicts over strategy resulted in lost lives. Errors in judgment are made. Politics sometimes prevailed over strategy. Inspirational stories are there too, of those whose contribution to the war was their intelligence, honesty and perseverence. Good ideas did not become strategy by themselves .... This fascinating book is not of math, but of men."

McArthur's book offers a careful, readable study of an important slice of history on both World War II and operations analysis-one you won't find anywhere else! Call the AMS toll free at 800-321-4AMS (321-4267) and specify the code HMATH/4NA.

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4 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Forum

get to know theTA on a first-name basis but usually view the faculty lecturer as distant and remote. The Forum section publishes short articles on issues that are of interest to the mathematical community. Articles should be between Many faculty members dislike giving large lectures 1000 and 2500 words long. Readers are invited to submit articles to beginning students, while others enjoy the theatrics of for possible inclusion in Forum to: performing before a large audience. At Berkeley more than Notices Forum Editor half the faculty has never (or almost never) taught one of American Mathematical Society the calculus lecture sections; thus there is a sharp division P.O. Box 6248 of teaching duties between those who have contact with Providence, Rl 02940 beginning students and those who don't. There is a reward or electronically to [email protected] in giving large calculus lectures in that teaching loads are reduced for the calculus faculty. Thus, we have a situation in which some professors try hard to avoid teaching the Calculus Reform II elementary courses, while others try just as hard to be successful at it and thereby get extra teaching credit. The Murray H. Protter technique for getting into either of the two categories is not University of California, Berkeley difficult to describe. In a previous article on calculus reform [2], I discussed the influence textbook publishers have in restricting the choice How to be a popular calculus lecturer. of calculus texts and the ways in which this influence affects Speak in a clear distinct voice, using a microphone if the syllabus and study habits of students. In addition, I necessary. Always write large and fill the blackboard sys­ described how the availability of sophisticated calculators tematically. Work many illustrative examples, ones similar as well as hand held computers increasingly influences the to those assigned for homework. Tell anecdotes, humorous way calculus is taught. if possible. Prove very few theorems and tell the students I now propose a change in the way calculus is taught they don't have to know proofs for the tests. Complain often in large universities and colleges, a change which I think about the textbook (unless you wrote it). Smile a lot and will improve students' understanding and appreciation of encourage students to come to your office hours. mathematics. Most advanced undergraduate mathematics courses at both large and small colleges and universities are How to be an unpopular calculus lecturer. taught in small classes of between 15 and 35 students which Be serious at all times. Write small and prove theorems in meet either three times a week for one hour (read 50 minutes) the lecture, sometimes giving a proof different from that in or twice a week for 1 112 hours. These are usually conducted the text. Use Greek letters as often as possible. Tell students in an informal manner with the teacher developing a topic they are responsible on the tests for everything discussed and allowing frequent questions and comments by students. in the lectures. Speak indistinctly or with a heavy accent Homework is assigned and discussed in class at regular (either real or simulated). Tell the class that the textbook intervals. At small institutions calculus is taught in similar is no better or worse than those being used elsewhere, fashion. However, the teaching of calculus at universities the differences being insignificant. Discourage students from with large enrollments most often proceeds by the lecture­ coming to your office hour. TA system. Here a faculty member gives a formal lecture Whether or not a lecturer is popular, attendance at the two or three times a week to several hundred students after lectures follows the same predictable path. At the beginning which teaching assistants (TAs) meet with small groups of of the course the lectures are well attended with students students (25 to 30) on the alternate days. The TAs discuss the taking notes and listening carefully. Then, empty seats in the homework, explain those parts of the faculty lectures which room are noticeable here and there, and shortly thereafter the students find difficult to understand, give quizzes, and exponential decay sets in. Lectures become sparsely attended answer miscellaneous questions about the course. Students with slight surges before midterm examinations. Of course,

JANUARY 1992, VOLUME 39, NUMBER 1 5 Forum students don't do this on the basis of the popularity or to fellowships. This is a risky offer, since the University unpopularity of the lecturers. They divide lecturers into two administrators will see an opportunity to snatch the funds for types. First, there are those teachers who follow the text in other purposes. However, the argument should be made that detail and present the exact proofs that are in the book and graduate programs must be maintained for the health of the who work examples in class that are only slight variations of department and the University; moreover, the willingness of those in the text. Students soon learn that going to class is a the faculty to take on the extra duties must be matched by waste of time since they can just as well read the book more the willingness of the administration to keep the funds intact. efficiently and get answers to their questions in the small By offering fellowships instead of teaching assistantships, TA section meetings. Students sleep through class or read the administration cannot help but make measurably higher or work on other courses. Second, there are those teachers the level of the incoming graduate students. who don't follow the text. They give alternate proofs to If we eliminate the lecture-TA system, the benefits both theorems and discuss auxiliary material that they think to calculus teaching and to graduate programs are apparent. interested students might want to know about; they don't Note that incoming graduate students can now devote all show students how to do homework problems. Students then their time to their courses and preparation for the Ph.D. reason that the lectures are irrelevant to the homework, the qualifying examinations. Incoming foreign graduate students midterm tests, the final examination, and the final grade. have ample opportunity to study English without concern They quickly learn to stay away from lectures. about communicating with freshmen. Thus, whatever the path the instructor of a large lec­ Another feature of my proposal for elimination of the ture course takes, exponential decay in attendance is the lecture-TA system involves giving additional teaching duties inevitable result. I firmly believe that when lecturers are to graduate students once they complete their course work, honest with themselves they recognize the irrelevance with have passed their qualifying exams, and are working on their which most students view their performances. theses. Unlike beginning graduate students, those at this later The lecture-TA system was developed over the last half stage are committed to a career in mathematics. Since most century as a technique for reducing faculty teaching loads. of them will end up in academic positions it is important If one were trying to devise a bad method for teaching for them to have had teaching experience. Therefore, every elementary mathematics, it is hard to think of one worse advanced student should be required to teach, on his own, than the lecture-TA system. Mathematics should always be one small calculus course per semester. He would operate taught in small classes with constant interaction between the course just as any faculty member might, but there teacher and student. To eliminate the lecture-TA system, I should be a vice-chairman of instruction who supervises the propose that for one semester of each year every faculty work of all the graduate student teachers. In this way, by member, in addition to his* regular teaching load, should the time a student is working on his thesis, he is familiar be required to teach a small class of calculus, meeting with the workings of the institution, has mastered English if three or four times a week. Since teaching loads for faculty he is foreign, and is serious about being a mathematician. members at most large universities are now two courses (or At this point he is either on a fellowship or is a Research fewer) each semester, this calculus class would be a small Assistant. In either case he should be required to teach as a addition to their regular teaching loads. Instead of 3 or 4 condition for getting his degree. courses, faculty members would teach 4 or 5 courses a year. Another alternative to the lecture-TA system is the No exceptions should be allowed. There is no doubt that self-paced method of teaching. I described that method as students would not only benefit but be delighted to have it has been used successfully at Berkeley for the last 20 such ongoing contact with the regular faculty. These days years or so in the article "The Self-Paced Calculus Program paying special attention to the teaching of undergraduates at Berkeley" [3]. Since many students cannot adapt to the has a high priority in university education. self-paced method of teaching, it is important to have it The extra time the faculty spends in this endeavor would available only as an alternative to a more conventional reduce only marginally the time the faculty devotes to program. I have observed through the years an important research. Teaching duties would be increased about 15 or facet of self-paced programs: those students who stick with 20 percent by the addition of this one course, since the the self-paced program really enjoy learning calculus while work involved in teaching a calculus class is less than that those in the lecturer-TA system frequently dislike it. required in teaching more advanced courses. If the typical If the entire faculty becomes involved in teaching calcu­ faculty member devotes 30% of his time to teaching, 20% to lus, the method of choosing textbooks (always a problem) departmental and administrative duties, and 50% to research, will improve substantially. Currently, publishers' representa­ then adding this one course would reduce research time by tives have an inordinately large influence in the way calculus less than 10 percent. texts are chosen. With the whole faculty required to live What would happen to the TAs if the entire faculty were with these choices every year, the committee (or person) to teach calculus? I propose that the department insist that that chooses the text, who will now be much more subject the University funds now earmarked for TAs be converted to criticism, will reflect carefully on the selections available. However, it is still easy to be misled. In a recent article on *I use the generic masculine throughout. the use of computers in teaching calculus, Halmos [1] raises

6 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Forum doubts about the use of computers in elementary courses or other. If they say that the graduate program will benefit (with which I generally agree). However, he does mention by attracting better graduate students, the argument may not approvingly that Courant's Calculus develops integration suffice. Second, the administration may not be willing to (which is done before differentiation) by showing that in agree to convert the teaching assistantships to fellowships. simple cases one can actually add up the Riemann sums Even if there is agreement on this point, each year, in order approximating the integral. My experience, in trying to do to save money, the administration may attempt to whittle this using Courant's book, has been a complete failure. The away the fellowship funds. It will be an ongoing struggle. trouble is that because Courant never taught a course in Finally, we have the recruitment problem. It will be difficult calculus, he wasn't aware of the background of the typical to attract the best young researchers if other universities are student. In fact, there are several calculus books written by offering them fewer teaching duties. This problem could be eminent mathematicians who have never (or hardly ever) ameliorated somewhat if new faculty members are offered taught a regular undergraduate course in calculus. Errors in a period, say 3 to 10 years, free of calculus teaching. The presentation occur more readily in these texts than in those length of time would depend, among other things, on the written by faculty who have at least a modicum of experi­ relative merits of the competing offers. ence in teaching calculus. With the whole faculty involved in lower division teaching, text selection should become a more rational process, and books with blunders such as that References in Courant's book would be avoided. [1] Halmos, P.R., Is Computer Teaching Harmful?, Notices ofthe Amer. Math. Soc. vol. 38 (1991) pp. 420--423. There are several difficulties in instituting a program [2] Protter, M. H., Calculus Reform, Math. lntelligencer, vol. 12 such as the one I have outlined above. First of all, the (1990) pp. 6-9. faculty may not be willing to increase its teaching load [3] Protter, M. H., The Self-Paced Calculus Program at Berkeley, voluntarily without additional compensation in some form Amer. Math. Monthly, vol. 98 (1991) pp. 245-249.

Mathematical World Volume 2

Fixed Points y ------: I I Yu. A. Shashkin I A1 B1 y=x: • I . I This book contains a popular exposition of q ; ' I fixed point theory. Theorems on fiXed points for continuous maps of a segment, a square, a circle, and a two-dimensional sphere are proved. All required notions such as continuity, com­ ' pactness, and degree of a map are explained. :s2 I Auxiliary propositions, such as Sperner's lemma, I are proved. Applications and exercises are given. Fixed Points is accessible even to students at the 0 x, x3 x:. high school level.

All prices subject to change. Free shipment by surface: for alr delivery. 1991 Mathematics Subject Classifications: 01, 54 please add $6.50 per title. Prepayment required. Order from: ISBN 0-8218-9000-X, 77 pages (softcover), December American Mathematical Society. P.O. Box 1571. Annex Station, Providence. Rl 02901-1571. or call toll free 800-321-4AMS tn the 1991, Individual member $19, List price $24 continental U.S. and Canada to charge with VISA or MasterCard. Please To order, please specifY MAWRLD/2NA add 7% GST to all orders totalling over $40 being shipped to Canada.

JANUARY 1992, VOLUME 39, NUMBER 1 7 Computers and Mathematics

Edited by Keith Devlin

Editorial on mathematics itself. At the moment, we are still adapting both our I just got back from a trip to Japan, where I took part in the Interna­ teaching and our research to take advantage of the ready availability tional Symposium on New Models for Software Architecture (IMSA of powerful personal computers and desktop workstations. Though we '91) held at Waseda University in Tokyo. The symposium marked the utilize email and electronic file transfer to communicate with our col­ start of a major new 8-year project, established by Japan's Ministry of leagues, for the most part we work alone, one person per machine, and International Trade and Industry, to develop new models for software to it is with such usage in mind that present-day software systems are support cooperative work by possibly large research and development designed. When working at the computer we usually work individu­ teams, rather than the single-user models at which are aimed today's ally and then communicate our results. This is largely true even in the personal computers and desktop workstations, together with much of case of instruction in an "electronic classroom." In order to do truly their software. collaborative work, we walk along the corridor, or take to the roads The development of computer tools to support teamwork is not new. or skies, and place ourselves face to face with our students or col­ Probably the first purpose-built, distributed, office-support system was leagues, be it in front of a sheet of paper, a blackboard, or a computer the Star System, developed by workers at Xerox PARC (the Palo Alto screen. Research Center in Palo Alto, California). The networked system of Now, I doubt that there will ever be a technology that completely Alto {later Star) computers, with the mouse-pointer-icon interface sub­ replaces actual face-to-face contact. But the development of mathemat­ sequently made popular by the Apple Macintosh, together with shared ical software systems designed for team use, spread over a network, printers and information storage devices, used within PARC itself for as opposed to individual users or even teams made up of individual almost the whole of the 1970s, was probably the first ever integrated users, such as we have today, will surely lead to a revolution in both office information system. research and teaching just as great as the one caused by the introduc­ "Personal distributed computing" was the name Xerox attached to tion of the personal computer. And just as we have had to learn, and this kind of integrated system. Following a conference held at the are still learning, how to do and teach mathematics on a computer, so University of Texas at Austin in 1986, the concept developed at Xerox too we will have to adapt to yet another way to approach the subject. PARC developed into the field now known as "Computer Supported Doubtless there will be those who are not happy with such a develop­ Cooperative Work" (CSCW). ment. But my guess is that regular readers of this column will find the The rationale behind the CSCW paradigm is the same as the one prospect as exciting as I do. that motivated the early Xerox PARC researchers and that made the Apple Macintosh such an incredibly successful personal computer. Editor's address: Namely, if you want to design a personal computer, or a computer system, to be used by certain kinds of people, start off by examin­ Professor Keith Devlin ing the way those people work and tailor the computer or computer Department of Mathematics system to match their needs. In other words, involve social scientists and Computer Science and cognitive psychologists in the design process right from the start, Colby College rather than letting technological or application-domain considerations Waterville, Maine 04901 dominate the whole development. Truly useful new developments in information support systems will depend on work that is not only international but also highly interdis­ Correspondence by electronic mail is preferred, to: ciplinary. It will involve not just computer science and software engi­ neering in the traditional sense, but many other disciplines as well. The [email protected] successful computer scientist of tomorrow will be both mathematician and sociologist, engineer and philosopher, linguist and psychologist. That is what I, as a mathematician, was doing at the Tokyo sympo­ sium, alongside all the computer scientists, linguists, and what have Software Reviews you. New developments in technology have always required (and led There are four software reviews this month. Maurino Bautista to) new developments within mathematics. (As it happens, one of the reviews Models. Following that, Roger Pinkham takes a look few other fully-fledged mathematicians there was Jon Barwise, my at Calculus Calculator, a program previously available as predecessor as editor of this column!) shareware (and reviewed as such in this column back But though my presence at IMSA '91 was as a mathematician whose research might help provide the mathematical underpinnings of in September 1989, pages 842-844) but now produced information systems, I could not help but speculate on the effect the in commercial form. Then Marvin Margolis reviews two evolution of sophisticated cooperative support architectures might have programs, Derive 2.0 and ODE.

8 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY m•••••••mm••••••••••••••••m••••••••••••, •••••• ---•••·--• mm•••••mm••m•••••••mmm•••m--illllill-!11'11"1--~------~r-••••••••-m•••·m··•••"•-""m-•m•--"·-"-·"""~"m"•--•-••-·•-·••·-·--·--··••••·•- Computers and Mathematics

require the numeric coprocessor. I would not recommend running complicated models without the floating point chip. Models 1.03 Obviously, the faster the machine, the better the performance Reviewed by Maurino P. Bautista* since the software performs intensive calculations. I con­ ducted my evaluation using a Mac IT running System 6.0.7 and a 6-MHz IBM PC AT with VGA graphics, Microsoft mouse and running DOS 3.30. Installation is a breeze with Program Description either platform, and even the DOS version automatically Models is a spreadsheet-like program that provides a variety selects the appropriate video driver for the highest screen of graphics and computational tools to perform iterations of resolution available on your system. discrete mathematical systems (either discrete versions of I spent several sessions with both the Mac and the DOS differential equations, difference equations, discrete dynami­ version, although I preferred working with the Mac version. cal systems, or general mathematical models) and render the All the graphics included in this review were obtained from results visually. It was developed by Martin Lapidus who has the Mac screen. I tested the program just like I have done produced other quite good programs for the Macintosh and with other programs that I have beta-tested before. Some MS-DOS machines. Two of these are Fields and Operators of these are Matlab, Maple 4.2 and Maple V, Tools for and f(z). Exploring Math, Calculus TIL, etc. In the context of this program, a model is any system of equations involving some variables and/or parameters whose current values describe the state of the system and whose Basic Operation succeeding values are computed from either the old values As an example, suppose one wants to study the classic or the most currently known ones by applying a specified predator-prey model involving rabbits and foxes, one of the set of rules. The following diagram illustrates the concept: models that come with the package. The phenomenon is described by the Volterra-Lotka differential equations:

I Parameters I dx T dt = a x(t) + b x(t)y(t) _.(0) Graphic ~~ = cx(t)y(t) + dy(t) y f----. or Initial Conditions Table where x and y represent the number of foxes and rabbits, respectively, and a, b, c, d are parameters. The first step in --·-+------' entering the model is to create the spreadsheet description Feedback of this model through the Variables Table shown below: Once the variables and parameters are identified, their 0 Predator and Prey 0 initial values fixed, and the rules for generating new val­ t 0 <0> t+.Ot 10 ues specified on the spreadsheet, Models can perform the a 0.08 <0.08> .08 iterations and display the values on the spreadsheet itself, lb 0.04 <0.04> .04 or better, graphically by creating (plotting) pens whose c 0.02 <0,02> .02 d 0.06 <0.06> .06 position in a 3-dimensional coordinate system is determined rabbitBirths 0 <0> a*"rabbits component-wise by a particular variable. These should be­ rabbitDeaths 0 <0> ID*"rabbits*"roxes come clear later. foxBirths 0 <0> c*"rabbits*"foxes foxDeaths 0 <0> d*"foxes chan~InRabbits 0 <0> rabbitBirths-rabbitDeaths Hardware Required chan~InFoxes 0 <0> foxBirths-foxDeaths The program runs on any Macintosh or DOS machine with rabbits 4 <4> rabbits+chan~InRabbits/1 foxes 2 <2> foxes+chan~InF oxes/1 at least 512 KB of memory and two floppy drives although 0 a hard drive would provide a much better environment ~ '21 and more RAM would improve animations. I recommend a mouse for the MS-DOS version. Two versions of the The first column contains all the relevant quantities for program are provided with either platform: one that requires tire model, the third column contains the initial values of a numeric coprocessor (either a 6888x for the Mac or an these quantities, the second column contains the current 80x87 for DOS) and a much slower version that does not value of the quantity, and the last column specifies how the new value is computed (the rules). Once the variable *Maurino P. Bautista is Associate Professor of Mathematics at Rochester table is complete, the model can be run using menus that Institute of Technology, Rochester, NY 14623. He received his Ph.D. in are fairly obvious. However, it does not automatically create mathematics from Purdue University (1984) and has interests in inverse any graphs. problems, partial differential equations and computer algebra systems. He is a beta-tester for a number of software companies. He can be reached at The basic mechanism for creating a plot in Models mpbsma @ritvax.isc.rit.edu. is called a pen. A pen is a locus of points in some 3-

JANUARY 1992, VOLUME 39, NUMBER 1 9 Computers and Mathematics dimensional coordinate system which Models always refers other curves are the projections of this plot to each of the 3 to as xyz-coordinates. Each of x, y or z can represent any coordinate planes. quantity defined in the first column of the variable table or There are other capabilities worth mentioning such as could be set to zero in order to obtain a 2-dimensional plot. animation (which is not the same as iterating a model) Once a pen is defined, one can show its trail by showing and the ability to import an external data file created by all the points and/or connecting them with lines or not show another program like a word processor, a spreadsheet, or a its trail by only showing its current position. There are all programming language like Fortran. Once the data points sorts of controls on the size of the points, the thickness of are read in and assigned to specific iterates of different connecting lines, which points to show, e.g. like every third variables, the model can be played, and the program simply point, etc. A more exciting feature is the ability to Link reads the next value from memory and assigns it to a pens Goin 2 points from 2 plots with a line segment) or variable or performs some computations before assigning it. The package comes with a sample model (Long Jump) Project the point to any or to all of the coordinate planes obtained by digitizing successive images of an athlete as and let the projection point trace another locus of points. he performs a long jump. Only the x and y coordinates of All of the above are set-up in the Edit Pen window which certain parts of the body are needed, such as the left and looks like this: right toe, left and right ankle, left and right knee, the middle hip, etc. Playing this model simply reads a succession of Select Pen I ol elete Pen Dk l) Rabbits&Time I graphics frames from disk or memory and does not perform Name 13 D Graph nbbits&foH any computations. The computations are done in a previous foH time H Irabbits • • • r-- stage and the resulting graphs are stored either in RAM or ®Linear y lo~llscrete disk. lfoHes 11Ilr o~~n Trail Trail z It I[B Project to planes OTrail Good Features Pen diameter IT:::] ..# ~y-z ~H-Z @No trail .Pen Color X One of the best features of this program is the ease with z ~H-y which one can plot parametric curves in 2- or 3-dimensions Line thickness ~ Link to: as well as define other points related to the curve and make .Line color OTrail I I[B®NoTrail them interact with each other. Thus, for example, you can Wait ~ iterations before displaying, start with the circle defined parametrically and plot all the and then show euery li::::J'th iteration. trigonometric functions as you follow a point around the circle. Plotting numerical approximations to solutions of The result of running this model with the four pens systems of differential equations is equally easy as soon defined above (3D Graph, Rabbits&Tzme, Rabbits&Fox, and as the discrete version of the system is obtained. I would Fox Time) showing the settings associated with the 3 D consider it a sophisticated parametric curve plotter. Another Graph pen is shown below: good feature is the large collection of files that come with the program. These can be used as templates to create other 3 D foHes - Rabbits -Time models, making it much easier to use the package. foxes

~!.L ...... •...... __-r-- Bad Features As with any new program, there are always a few bugs and design flaws. On a Mac, resizing the graphics window, zooming in or out, or rotating the axes will delete certain features of the current display, in particular links between I points (or pens). On the IBM, the entire plot disappears! I could not print the graphics window on a Mac. I also ran the software on a Mac SE/30 with a color card hooked to a color monitor. In this setup, I could not get the color settings on the points, connecting lines, or the axes. There are also a number of design flaws that can cause frustration to the user. For example, there are no controls for the speed of an I animation other than changing the number of iterations in the loop, and you cannot replay an animation without opening the file again. This means going through all the menus that you just performed in order to replay an animation. Double clicking items inside dialog boxes does not select the The thick line represents the plot of the rabbit and fox entire item. Some dialog boxes do not have cancel buttons. population as functions of time (3D Graph pen) and the Hence, if you accidentally change a setting and you do not

10 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY lmi@""ll@' RRRRRI!lii"R~I!&l'"Rf!l.WJ!.-ulr Computers and Mathematics remember the previous value, there is no way to restore available on the Mac! (I hope the developers will read this.) it. You cannot do multiple selection for deleting variables. The closest competitor on the Mac may be the Differential Closing every window including the variables table does not Equation routines written by John Hubbard and Beverly close the model, and you cannot have more than one model West of Cornell University (published by Springer-Verlag), open, making it difficult to compare 2 models. but I have not seen the latest version of these routines. If your DOS system does not have a mouse, the operation of the menus is quite confusing. Menu selection is accomplished by pressing a letter corresponding to the capitalized letter in the item you want to select. For example, Documentation if you want to change screen characteristics, you have to The documentation that comes with the package is really select the sCreen menu by pressing the letter C. However, a collection of case studies involving various mathematical you can also navigate the menus using the Up-Down arrow models. Some of these are Rectilinear Motion, Period Dou­ bling, Spiders, etc., in addition tb those already mentioned keys. Models will highlight the chosen item with a box around it. For certain items, pressing the Enter or Return earlier in the review. Each case study has associated files on key will accomplish the selection, but for others one has to the disk that essentially contain the variables table for the hit a letter as indicated above. This can be very frustrating model. One can learn to use Models by simply browsing through a case study, modifying values and variables in to the unsuspecting user! At times, the mouse cursor would order to experiment. Except for several typographical errors, disappear while running a model, and it would take a few the manual is well-written but assumes a certain amount blind clicks before it showed up again. Hopefully, you have not selected an unwanted item during that time. Printing of mathematical sophistication. The math though is rather on a Laserjet II took forever and at 300 dpi resolution, informal. A reference section at the end collects all the in­ the entire screen is reduced to a 2 inch by 3 inch image formation about the operation of menus and dialog boxes in one convenient place. I would say that it is not an easy task on paper! Printing at 75 dpi (ridiculous on a 300 dpi laser printer) produces what looks to me like a screen dump. for a novice to use the software without the documentation. Finally, there are some things that are inconsistent with However, once the basic operations are learned, the manual is almost unnecessary. our experience of mathematics. For example, one of the equations in the Lorenz model is

dx Conclusion dt = s(-x(t) + y(t)) I would recommend Models to anyone who needs to iterate discrete mathematical models. It is an excellent parametric which implies that curve plotter that allows you to make plane projections or graphical presentations of related points that cannot be dx = s(-x(t) + y(t)) dt. easily done with other programs. It has the potential to become an extremely good program for running simulations Here, s is simply a parameter. The new value of x is then of discrete mathematical systems. It would be nice if one can approximately x + dx. However, in the Lorenz Attractor file also enter continuous models, but this would require more as well as in the documentation, dx is defined as B*(-x+y) mathematical sophistication on the part of the developer. and the new value of x is computed as x + dx * dt. This does not invalidate the model but I think it is sloppy mathematics! Obtaining the Program The program costs $79.95 and can be obtained from Lascaux The Competition Graphics, 7601 N. Calle Sin Envidia #31, Thcson, AZ Other programs can be made to graph curves that Models 85718. The Mac version comes with one diskette and a plots but not as easily. It would take a much longer 126-page manual while the DOS version comes in two sf' code in Mathematica to create a plot that shows the diskettes and a 118-page manual. For orders or additional locus of several interrelated points with interconnecting information, you can also call 800-338-0993. lines, and would be impossible with current versions of other programs like Maple, Theorist, Analyzer 3.0, Tools for Exploring Mathematics, MathCad, etc. On the other hand, when it comes to handling systems of differential equations, The Reviewer the DOS packages Phaser and PhasePlane are much more Dr. Maurino P. Bautista versatile and powerful and provide more tools for studying Department of Mathematics systems without the need to discretize the equations. These Rochester Institute of Technology excellent packages allow you to choose the numerical One Lomb Memorial Drive method for integrating the system and effectively write the Rochester, NY 14623 iteration equations for you. I only wish that they were 716-4 7 5-6122

JANUARY 1992, VOLUME 39, NUMBER 1 11 Computers and Mathematics

in which histograms are displayed. Frequencies of 1,11, 17,23,24,12,8,3,1 are displayed by vertical bars having Calculus Calculator (CC) heights proportional to 1,0,11,0,17,0,23,0,24,0,12,... etc. Reviewed by Roger Pinkham* This is disconcerting to one used to reading histograms or stemleaf plots, since visually you see zero frequencies In these days of stupendous sales, massive heart attacks, between the actual counts. and incredible bargains, I am wary of describing anything The program is so good and so inexpensive I am as first class, but CC, the Calculus Calculator, is just that. seriously considering having all my students in numerical At $25 for manual and diskette, it is one of the best buys in analysis purchase CC the next time I teach the course. town. (The manual may be purchased separately for $15.) It was originally obtainable as shareware from David Meredith at San Francisco State University. It now exists References in a commercial incarnation sold by Prentice Hall. The [1] Herbert L. Holden, Notices ofthe AMS 36, September 1989, pages 842-844. original review by Herbert Holden [1] is as applicable as ever. To that review I add a brief overview and some general comment. The original intent and structure have been preserved. !IBI!Iii!IBI!Iii!IBI!Iii!IBI!Iii!IBI!Iii!IBI!Iii!IBI!Iil-''''"""""""""""""""''"'' Color has been used even more effectively-a command, Derive, Version 2 once executed, changes color on the screen. The Table command with square brackets has been altered, again a Reviewed by Marvin S. Margolis* plus, and the 40 pages of original help files have been Soft Warehouse, Inc., 3615 Harding Avenue, Suite 505, incorporated into the text. Honolulu, Hawaii 96816, produces Derive, Version 2, a The program enables doing a host of common tasks Mathematical Assistant, list price $250.00. It is a menu effortlessly. It driven symbolic manipulation program for doing mathemat­ (1) performs arithmetic calculations with both real and ics on ffiM or compatible personal computers. Version 2 complex numbers, improves upon earlier versions without increasing hard disk (2) provides evaluation of all standard mathematical requirements. Programs like Derive are significant because functions, they (1) have potential use as educational tools and (2) (3) differentiates symbolically, enable practicing mathematicians to experimentally analyze (4) integrates numerically and visually displays the mathematical problems by computer. function, the region, and the process, if so desired, Notices has previously published three reviews of Derive (5) allows effortless function definition and variable in this column. Eric L. Grinberg reviewed an earlier Derive assignment, version in the September 1989 (volume 36, number 7, page (6) solves equations of the form f(x) = 0 numerically, 838) issue. Although he does not mention which version (7) graphs in 2- and 3-D easily and with dispatch, he reviewed, Grinberg's comments comprise probably the (8) graphs lists, most comprehensive description of the program except for (9) makes histograms, the user manual. His comments still apply to program parts (10) has vector operations, that Soft Warehouse did not update in Version 2. Phil Miles (11) allows defining functions implicitly and differentia­ discussed Derive as a precalculus assistant in a second tion of implicitly defined functions, review in the March 1990 (Volume 37, number 3, pages (12) allows writing on and printing graphs, 275-276) issue. (13) has its own very convenient programming language, In the third review, Barry Simon compared Derive with which is recursive, and does not require variable typing. three other microcomputer environments in the September Perhaps the thing most noteworthy is the human-machine 1990 (Volume 37, number 7, pages 861-868) issue. To pre­ interface. The care and thoughtfulness which the result pare a review article on four mathematical packages for PC exhibits is a model other software designers would do well Magazine, Simon developed 20 trial mathematical problems. to emulate. There is a useful, informative demo and most He sent the problems to the package vendors requesting that features are illustrated by example. each supply solutions. By showing the vendors' solutions to Finally, Chapter 6 of the manual entitled "Applications" the trial problems, his Notices article allows the reader to is a delight. compare the four programs, Mathematica, Maple, Macsyma, I noted only one trivial typo in the manual. On page and Derive. Simon's article evaluating the four programs 107, the result of differentiating x squared should be based on his analysis appears in the May 29, 1990 issue 2 * x. The only design flaw, in my opinion, is the way of PC Magazine (Volume 9, Number 10). He previously reviewed Derive separately in the September 26, 1989 issue *Roger Pinkham is a Professor of Mathematics at Stevens Institute of Technology in Hoboken, New Jersey. He can be reached by email at the *Marvin Margolis is an Associate Professor of Economics at Millersville address [email protected]. University in Millersville, Pennsylvania.

12 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY ---~·~····- .. ····~--·-·"·-·····-"'""·-··--·---...... ______""''''1WIJM-!1!11-·!1!!11!17!1--·~~------·-··--- ..... - ...... Computers and Mathematics of PC Magazine. I expect there are many other Derive is probably unsuited for some high end scientific reviews in the mathematical and technical literature. applications ..." still applies. The Grinberg (Notices) and Simon (PC Magazine) re­ But, the Version 2 programming capability improvements views nicely summarize Derive's features. For readers un­ are significant if not complete. Version 2 provides an if­ familiar with Derive, I will paraphrase a few favorable and then-else conditional construct with an indeterminate result unfavorable program features from Simon's review. "For clause option plus logical and relational operators for use as only $250 and a small PC without a coprocessor, Derive conditionals. Together the two new programming features does a significant subset of the symbolic manipulation of greatly increase the users' ability to create sophisticated calculus functions offered by Mathematica and Maple. It functions. Now Derive users can create functions that rival also does numeric calculations to a user-prescribed degree those in any advanced spreadsheet program. of accuracy. The . . . graphics . . . are comparable to the The Version 2 program floppy disk includes 20 utility best programs that run on XTs. The program uses a Mi­ files, some of which illustrate the power of the new program­ crosoft Word-type menu. Derive does all this with executable ming commands. The utility files are collections of function code of less than 220K without overlays. This technically definitions and variable assignments. The files cover major impressive feat allows the program to load quickly." mathematical areas such as vectors, numerical differentiation However, Simon finds the following Derive limitations. and integration, ordinary differential equations, probability "Derive lacks a programming language and does not directly functions, and miscellaneous functions. The utility files also support output of its graphs to a printer. It doesn't understand include examples of Hypergeometric and Bessel and Airy somewhat exotic functions like Bessel and hypergeometric functions; Barry Simon noted the absence of the functions functions. It cannot solve systems of nonlinear equations." in earlier versions. Another utility file offers numerical so­ But, when he weighs the pros against the cons, Simon lutions to systems of nonlinear algebraic equations using concludes that " ... this powerful little package is an absolute 's or the fixed-point method. Thus Version 2 fills joy to use." another gap that Simon noted. In addition, the user manual Version 2 retains the favorable features mentioned above describes the utility files. and also corrects some limitations. It now understands I expect that Soft Warehouse will in future versions Bessel and hypergeometric functions and has increased expand the utility files to approach the long list of ready­ programming language features. Still, it lacks complete made specialized mathematical functions that characterize programming features and does not support output of its the larger competing programs. Derive's main program can graphics to a printer. still remain small; the user will simply fast load only the I believe the changes in Derive from the earlier to the utility file that contains the particular mathematical function latest 2.0 version are major. Soft Warehouse has attempted that he or she needs. The user can store the utility files on a to respond to the many, e.g. Grinberg and Simon, criticisms floppy instead of a hard disk. of their previous versions. Version 2 offers improvements in Version 2 still cannot send graphics screen images to a many areas such as programming capability, equation solv­ printer. The user manual now includes a list of commercial ing, matrix operations, calculus, numerical methods, plotting, screen capture programs which one can purchase. I have user interface, and documentation. Some improvements are not purchased any of these programs and therefore have not minor but others are major changes. tried to capture a Derive graphics screen on a printer. It is still true that Version 2 does not offer a complete Soft Warehouse revised the user manual to include many programming language. However, to provide one may require improvements. Many sections now include more than one an unacceptable change in the size of the program and/or example of how to use a command. There is a bibliography, the ease of use. The reason is Derive uses primarily an a list of screen capture programs, and the descriptions of the interpretive rather than a compile and execute approach­ new utility programs. analogous to interpretive rather than compiled Basic. In an Soft Warehouse is probably strongly interested in the interpretive approach, the user issues one command at a time, results of a recent MathCad competitive thrust. MathCad's receives an immediate feedback response to the command, latest update added symbolic manipulation capability which and analyzes the response before issuing a second command. it obtained from Maple to a Windows framework. Soft In the second approach, the user stores a series of commands Warehouse must consider whether to expand Derive in the in a program, compiles the program, and then executes it. Windows direction, that is, allow users to use a mouse and For a beginning student, the interpretive approach is pull down windows. They obviously cannot retain all the usually the fastest and easiest method to learn program benefits of their small program if they choose the Windows commands. Therefore, Derive has exciting possibilities as an framework. educational tool as I explain below. But, consider someone Maybe Soft Warehouse should split Derive into two who already knows the commands and repeatedly wants programs. One program would remain small like the current to step or loop through a series of commands. He or she Derive and concentrate on the educational market. Fit into a may desire to change one parameter at a time without palm sized computer as in one current use, it would enable seeing intermediate results. That person prefers a compile traveling mathematicians to carry dedicated hardware and and execute approach. Barry Simon's comment that Derive software. It also provides professors in class an alternative

JANUARY 1992, VOLUME 39, NUMBER 1 13 Computers and Mathematics to a regular PC or even a laptop. The other Derive program Purpose would be large and compete head on with the higher priced ODE solves initial value problems numerically for systems competition such as Mathematica, Maple, and Macsyma. of ordinary differential or difference equations that arise in Designed as a vehicle for research, it would be a Windows many scientific fields such as physics, chemistry, and biology. program with programmability, printer drives, and massive The program presents solution values either graphically or mathematical functions. in numeric tables. The user specifies equations in natural For readers who are familiar with statistical software, 1 notation and stores them in standard ASCII text files. A would compare Derive with the Minitab program. Derive built-in text editor helps the user create and edit a file. The does fall at the low end of the (symbolic manipulation) user can save files for later use. mathematical software spectrum just as Minitab tends to fall The author expects that users will apply ODE to teaching at the low end of the statistical spectrum. If Mathematica and small research problems. He assumes user familiarity falls at the high end of the mathematical spectrum, then with differential and difference equations and basic computer the large statistical program SAS falls at the statistical use. The author's disclaimer notes that users should not rely high end. The Minitab and Derive programs are similar upon ODE output in a situation involving possible life or in that they are easy for students to learn since they both property danger. use interpretive languages. Neither pr-ogram permits true ODE features include the following. It solves systems (i.e., branching) programming. Derive is highly suitable for of ordinary differential equations, even those coupled or use in an academic computer laboratory for mathematical nonlinear. It requires no numerical analysis knowledge and experiments just as Minitab is for statistical experiments. automatically graphs problem solutions. The user can plot When I teach I always give class priority to mathematical any variable against any other variable and can produce or statistical theory and not to computer software. In phase-space plots and/or plot with dots, lines, or splines. A teaching statistics, I have found that Minitab assignments user can examine variable values at any time and only com­ do not require extensive class time to explain the program puter memory size limits the equation order. Users can solve mechanics as the SAS program does. Although I have not equations applying numerical procedures such as the Euler, personally used Derive in a class yet, I am convinced that it Runge-Kutta, or Bulirsch-Stoer methods and can choose will also work well for mathematical courses for the same fixed or automatic stepsizes. Several examples included with reasons that Minitab works well for statistical courses. the program investigate chaotic equation systems. ODE also In teaching statistics, I could choose from among sev­ solves equations. The program extensively eral statistical textbooks that directly incorporated Minitab checks for errors and provides informative messages. assignments. The Derive user manual lists four books in an annotated bibliography that illustrate applications of Derive. Hardware Requirements I have examined two of the four and I find those two ODE requires an ffiM PC, XT, AT, PS/2 or compatible unsuitable as a text because they give Derive examples more computer with a PCDOS or MSDOS operating system and priority than the mathematical theory. I suggest authors CGA, EGA, or VGA graphics. It supports a mouse. The get busy and write a text that gives mathematical theory author recommends a numeric coprocessor although it is not first priority but does incorporate Derive examples. I am essential. He also supplies the program on either a 3.5 inch convinced it will sell well. 720K, 5.25 inch 360K, or 5.25 inch 1.4M MSDOS floppy disk. The program prints graphs on a HP laser printer. An install file installs the main program, the help file, and the

W!&l1i! 11\!-. seventeen example ODE files on a hard disk. ODE2.5 The User Manual Reviewed by Marvin S. Margolis The author printed the 47 page user manual using I5JEX. Keith Briggs, Box 75, Heidelberg West, Australia 3081, is The manual includes a table of contents, a tutorial, a fifteen page reference manual, example file listings, references, and the author of ODE 2.5-An Interactive Program for the Simulation of Discrete or Continuous Dynamical Systems­ an index. ODE applies menus with explanatory messages ffiM PC Version, Price: public domain version $Al 0, Full and additional on-line help, so that for class use, students do not need multiple copies of the user guide. version $A 75. Briggs designed ODE to provide assistance in teaching ordinary differential equations. Teachers at several Australian and American universities tested earlier versions. The ODE User Manual Thtorial As an interactive system, it allows students to experiment The user manual includes a tutorial chapter explaining how with solutions of differential equations using numerical to use ODE. The user manual does not attempt to explain methods. ODE includes 17 example files besides the main ordinary differential equation or numerical computation and help files. The public domain version, while fully theory. For users who want that information, the manual functional, has some restrictions; the author intends that lists references on differential equation theory and computer professors use it to evaluate ODE for possible class use. methods for numerical analysis.

14 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY ...... ~ ··············~~j-~--~~~1.t~\&············· Computers and Mathematics

The tutorial begins by explaining the user procedure for An algebraic equation setting an initial value must executing an existing example ODE file. A user first selects precede each differential equation. A user must rewrite (1) the file menu from the main menu bar, (2) the "load a equations of order greater than one as a system of first -order file" option from the file menu, and (3) a file from among equations by introducing new variables to represent the a file list. After ODE loads the selected file, the program higher derivatives. editor displays it. After a user examines or changes the file, she exits the editor and returns to the main menu. Then Solution Methods she selects the "solve the equation" menu option to obtain The author offers the user some solution methods such as graphical (or numeric) results. When she finishes examining difference equations solutions, Euler method, fixed step size, or printing the graph she returns to the main menu. The user second-order midpoint method, fixed step size, third-order need only press a function key to examine (a) current variable Runge-Kutta, fourth-order, fifth-order fixed or automatic value(s) instead of a graph. To continue a solution, the user step size, and the Bulirsch-Stoer method. An article by J. presses another function key. Experimenting with ODE is R. Dormand and P. J. Prince, Celestial Mechanics, 18, 23 easy; the program design encourages user experimentation. (1978) describes the fifth-order Runge-Kutta algorithm the With the program's extensive error checking, disasters rarely author uses. happen. The author discusses four example files in the tutorial. The first example illustrates exponential growth using the Solving simplest possible differential equation. The second example ODE solves problems to extended precision, corresponding examines a second-order differential equation and illustrates to 19 decimal places. Still, the user may face problems sinusoidal oscillation. ODE does not automatically provide in solving a problem, for example, an unstable numerical a phase-space plot. Users must first choose the graph solution method. Here the author recommends trying a command, establish the vertical axis as a velocity variable, higher-order method or smaller steps with a fixed step size. and the horizontal axis as a position variable. ODE will abort a solution if it calculates very slowly using The author recommends that users experiment with the an automatic step size. Then try a different order solution second example. Try increasing the initial position to see if method. ODE also aborts a solution when dividing by zero the period changes. Set the initial position equal to 0, but or taking a log or square root of a negative number. the initial velocity nonzero. Does the phase-space picture change? When the experimenter adds damping, how does Example File Listings the phase-space picture change? Seventeen example files accompany the ODE main program. The third example examines a standard chaotic system, Each contains brief comments that explain the file's purpose. the quadratic function of the plane first described by The user manual also provides a printout of the files. The Henon. The example illustrates an orbit, a strange attractor, examples illustrate an Airy differential equation, a planetary and some experiments to show the sensitive dependence on orbit in a binary star system, two coupled oscillators, initial conditions. The fourth example is a continuous chaotic a Duffing oscillator-a driven nonlinear oscillator with system, the famous Lorenz equations. After executing the chaotic solutions, an exponential growth model, a Henon four tutorial files, I felt qualified to study the other example attractor, a Lorenz chaotic attractor, a planetary orbit around files. a fixed star, a driven, damped oscillator, a real pendulum-a nonlinear oscillator, a quantumchromodynamics equation, Roessler's chaotic attractor, and stagnation point flow in The User Manual Reference Manual fluid . The author's suggestions for which variables Fifteen pages of chapter three comprise the reference manual to plot on which axes are helpful for those unfamiliar with of the user manual. The reference manual subsections refer the models. to the main menu, text editor, ODE language rules, using the mouse, and difficulties. The main menu commands are help, file, edit, solve, method, graph, print, variables, and quit. Limits The built-in text editor uses standard Wordstar commands Users may choose at most 50 parameters or variables, but lacks text move cominands. When a user must move text 150 constants, 80 program lines, 1000 solution steps, 18 differential equations, or 500 stored solution points. The to change a program file, she can save the file, quit ODE, and edit the file in any ASCII text editor or word processor. bibliography refers to 12 listings in the literature. The ODE language rules involve lines of the form: ( 1) algebraic equations, of the form variable = expression, Using the Mouse (2) differential or difference equations, of the form If users install a mouse and mouse driver on their computers, variable = expression, they may point and click to select main menu items instead (3) comments, starting with the symbol #, of using keys. The mouse cursor appears as a magenta (4) directives, starting with the symbol $, which control female symbol. The right-hand side of the help and solution the method of solution. display screens provides scroll bars. The mouse is inactive

JANUARY 1992, VOLUME 39, NUMBER 1 15 ...... ~ ...... _...... - ...... - ...... Computers and Mathematics

when using the text editor. ODE provides an easy-to-use ODE's Advantages menu system with context-sensitive help. Because ODE is simpler and not as rigidly designed as Phaser, it is somewhat easier to learn to use. Unlike Phaser, Comparisons with Phaser it has an on-line help capability. The easier to understand Because of certain similarities, ODE invites a comparison ODE user manual is a model of clarity. Simpler and more with Huseyin Kocak's Phaser program*. Each program logical ODE language rules more easily enable the user to solves differential and difference equations and uses menus. create new example files. ODE does not assume the user Each runs on IBM and compatible personal computers. Each automatically desires a phase port diagram. ODE allows contains similar example files in their libraries, for example, limited mouse use. ODE mentions connections to chaos the Henon and Lorenz equations. Each displays a problem theory in it's tutorial more than Phaser does. I find ODE's solution graphically and uses numerical analysis solution use of a built-in text editor to generate new example files methods. Still, both can optionally display numerical as well more logical and less rigid than Phaser's insistence on menus as graphical solutions. Both have many sample files that for every step. I found ODE more conducive to performing illustrate how to set up the solution to a differential equation experiments than Phaser. Finally, ODE labels numbers on problem. The main program (*.exe) files are approximately tick marks of its graphs. Phaser lists the endpoints only and the same size. As primarily graphics programs, they require not on the coordinate axes. ODE possesses a richer toolbox skill in formulating the equation files, choosing the solution of methods for solving the differential equations. The ODE method, using step sizes, specifying axes dimensions, and pull down menu method confuses less than does Phaser's. other considerations.

Phaser's Advantages Conclusions The Phaser program is more comprehensive than ODE. I had the same experience with ODE that I had with It offers more library (sample) files. The user manual Phaser. In modeling a particular equation system, I obtained contains more detail and references. Unlike ODE's manual, unexpected and/or puzzling results. I immediately began the Phaser manual tries to explain some differential and studying the references to understand the theory better. I difference equation theory. Phaser's manual contains many doubt I would have been so motivated to delve into the geometrical figure screen dumps whereas ODE's manual has theory without ODE. none. Unlike Phaser, ODE does not appear able to draw I liked ODE after only trying it for fifteen minutes. Planar Poincare Maps or stair step diagrams. Also, unlike Specifically, I liked ODE's logical program design and ODE, a Phaser user can optionally graph a vector field how easily I learned to use it. Because the program is or split a screen into two different Phaser graphs. Phaser small and students can learn it quickly, educators teaching provides more literature references for each library file of a dynamical systems can potentially use the program as an differential or difference equation. auxiliary tool. Since ODE contains no theoretical discussions, educators will not want to teach with it alone. It can *Huseyin Kocak, Differential and Difference Equations through Computer Experiments with a Supplementary Diskette Containing Phaser: An Anima­ supplement a dynamical systems course by letting students tor/Simulator for Dynamical Systems for IBM Personal Computers, Second do experiments. It can add more excitement to an already Edition, Springer-Verlag New York, 1989. exciting mathematical area.

16 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Inside the AMS

Report on the publishes a journal, Afrika Matematika, the main outlet for Third Pan-Mrican Congress dissemination of mathematical research carried out on the Continent. In addition, there are four AMU Commissions: of Mathematicians and Some Thoughts on Mathematics Education; on History of Mathematics on Cooperation Between in Africa; on Women in Mathematics in Africa; and on Pan-African Mathematics Olympiads.4 the American and Mrlcan At the opening ceremonies, each of the foreign delegates Mathematical Communities was asked to say a few words. After remarking on the inter­ Lenore Blum, Vice President nationalism of our field (clearly reflected at the Congress) American Mathematical Society and our common values and shared ideals, I presented a Last August I attended the Third Pan-African Congress bound citation to the AMU from the AMS which read: of Mathematicians in Nairobi as the official delegate of "The Council of the American Mathematical Society the American Mathematical Society at the invitation of the sends congratulations to the Third Pan-African Congress Mrican Mathematical Union (AMU). 1 Most African nations of the African Mathematical Union to be held in Nairobi were represented2 at the Congress and a number of other in August 1991. The Council is pleased that an officer of international societies sent delegates, 3 as they have in the the Society can deliver these greetings personally. It looks past. But this was the first time the AMS was officially forward to future cooperation with the Union in furthering represented. the Mathematical Sciences." I went to Africa because I felt it important that the AMS The Academic Program of the Congress included: about be represented. Indeed, I had spent much time last year fifteen one-hour plenary lectures intended to illustrate current convincing the AMS to send an official delegate (and I am directions and achievements in the mathematical sciences; grateful to AMS President Michael Artin for his support). about forty 45-minute invited lectures in parallel specialized But in truth, I had not expected to become as involved as sessions; contributed research papers; a Symposium on I did. Nor had I expected to find the high level of mathe­ "Mathematical Education in Africa for the 21st Century;" a matical activity, nor the strong commitment to mathematics day of emphasis on "Industrial Mathematical and Computer development that I found. Like many Americans, I was Science;" and the Third Pan-African Olympiad. In addition woefully ignorant and provincial with regards to most things to the academic part of the program, there were many African. And while I am hardly an expert at this stage, I discussions, both formal and informal, on the development of have tried to educate myself during the past few months. mathematics in Africa and the roles the African governments Here I will briefly report on the Congress and my and the international mathematics community could play. impressions, and then offer suggestions for cooperative I was much impressed with the level of mathematics pre­ efforts between the American and African mathematical sented at the Congress. The talks covered a broad spectrum communities. I hope this may lead to constructive discussions of topics from pure and applied mathematics. The speakers culminating in concrete programs. also represented a broad spectrum from young researchers The Third Pan-African Congress was held under the to established mathematicians, and visitors. This is all the auspices of the AMU, an association whose mandate-as more impressive given the incredibly harsh working con­ underlined by Professor Aderemi Kuku of the University ditions: few up-to-date books, lack of current international of lbadan in Nigeria in his presidential address at the journals, virtually no access to preprints, poor telephone opening ceremony-is to "propagate research and education and postal communication, no electronic mail, scarce funds in the Mathematical Sciences in their various ramifications for travel even within the Continent, little opportunity for all over the Continent of Africa." To fulfill this mandate, contact with the international mathematics community, and the AMU organizes or co-sponsors colloquia, symposia, so on. (Harley Flanders had similar impressions when he and workshops in diverse mathematical areas, as well as attended an AMU symposium in 1988 in Arusha, Tanzania.

JANUARY 1992, VOLUME 39, NUMBER 1 17 Inside the AMS

See Notices, January 1990, p. 32.) and coordinate the work of these committees, help develop I was also impressed with the commitment on the policy guidelines, raise funds, and oversee development part of African mathematicians to strive for the highest and implementation of programs. This is essentially the levels. As an example, one of the main thrusts of the recommendation presented by Raymond Ayoub in his report AMU in the direction of advancing research and high-level on the AMS Committee on Service to Mathematicians in education in the mathematical sciences on the continent is Developing Countries. (See AMS Council Supplementary the promotion and development of Centers of Excellence. Agenda, August 1991, Attachment B, p. 14.) Eighteen universities in Africa have been identified for this In that report, Ayoub also recommended setting up a purpose. In addition, there is a desire to create non-university Mathematical Sciences Book Foundation to "render aid research centers such as the National Mathematical Centre in to institutes in developing countries in need of library Nigeria (directed by Professor James Ezeilo of the University enhancements."6 (I would like to note here that the single of Nigeria). Quoting Kuku: most frequent request I received from African mathemati­ "These Centers would constitute a network that will cians was that the AMS provide CD-ROMs of Mathematical complement those in the developed countries and hopefully, Reviews to be placed in strategically located mathematics apart from maximizing the use of available resources in centers in Africa: for example, one in each of the geo­ Africa through exchange of staff, student and facilities graphical areas, north, south, east, west.) I endorse Ayoub's South-South, also promote North-South interaction through recommendation but would expand the idea to a Book exchange of staff and students. Thus while our colleagues and Communications Foundation, which would also pro­ from the developed countries are encouraged to visit us and vide technical assistance for such facilities as electronic give lectures, seminars, etc., our students who are registered communication networks. for degrees in Africa ... could spend some time ... at centers From exploratory investigations during the past weeks, of excellence abroad to be better exposed and come back I have discovered that there are a number of government to write their theses. It is our considered view that this will agencies and private foundations that have resources, pro­ help to retain the badly needed expertise for our universities grams, and possibly funds that could support development and other institutions of higher learning and stem brain of electronic networks (using low cost and appropriate tech­ drain ... " nology such as Fido-net) and such activities as exchange AMS presence at the Congress was clearly appreciated; programs with Africa. I was often called upon to be spokesperson for the foreign Clearly, this would take a great deal of work. If we are representatives. During the Congress, I met with members to do anything at all, I think it would be appropriate to of the AMU Executive Committee, the Commission on invite some of the key figures in the African mathematics Women, and the other foreign representatives. We discussed community to visit and advise and work closely with us. many possibilities for cooperative programs, mostly with the Such visits could be sponsored jointly by the AMS as well goal of increasing contact and communication. One of the as other mathematical societies, research centers, colleges, most potentially important efforts here will be in establishing and universities, and the visitors could also participate in electronic communication linkages. activities of the sponsoring institutions. I believe there is a great deal we, both as a society and I end my report by echoing Ayoub, "It is abundantly as individuals, 5 could do to assist the AMU and the African clear that the needs are great. How shall the AMS respond? mathematics community in its efforts. I also think there It is happily a situation where virtue and expedience come would be benefits for us, particularly coming from increased together." contacts with-and visibility of-African mathematicians. The question now is what are the priorities and how best to Footnotes proceed. 10ther U.S. participants at the Congress were Jim Donaldson, Joshua This question must be considered within the broader Leslie, Walter Feit, and Bill Lawvere. context of the Society's relationship to the international 2 African nations represented at the Congress included: Kenya, Zim­ mathematical community. The AMS is being asked to babwe, Nigeria, Algeria, Senegal, Tunisia, Egypt, Cote D'Ivoire, Bu­ become involved in such international issues as the health rundi, Sudan, Cameroon, Mozambique, Uganda, Tanzania, Ghana, Mo­ rocco, Sierra Leone, Burkina Paso, and (for the first time) South Africa. and preservation of mathematics in the Soviet Union and 3International mathematical societies that sent delegates to the Con­ in Eastern Europe and the development of mathematics gress included the European, German, London, French, Belgium, Japan­ in Africa and Asia, and so forth. Given the current world ese, Swedish, Moscow and Italian mathematical societies as well as the situation, these requests for AMS assistance and involvement International Mathematical Union. In addition, there were representa­ will undoubtedly increase. tives from UNESCO, the International Centre for Theoretical Physics The usual response has been to set up committees (Trieste), the Third World Academy of Sciences, and the African to investigate and make reports and recommendations. Academy of Sciences. 4 However, these committees have no way to implement In his presidential address, Professor Kuku described an impres­ sive array of activities carried out by the AMU and its Commissions their recommendations. In my formal report to the AMS during the past four years. Some highlights: Executive Committee on my trip to Africa, I recommended - During the past four years, the AMU has co-sponsored over a that the AMS secure funds for a staff person to support dozen workshops and conferences (in diverse mathematical areas such

18 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY m m•••••mm••···· ••m ···••m•mm m mmmmmmmmm "·••·•··rrmzEmzB~ Inside the AMS

as: K-Theory, General Algebra, Algebraic Geometry, Computational For a complete text of the address contact Professor A. 0. Kuku. Mathematics, Numerical Analysis in Computer Science, Mathematical Department of Mathematics, University of lbadan, lbadan, Nigeria. Analysis and Applications, Mathematical Physics, Stochastic Analysis 5 One way American mathematicians could assist their African and Education). colleagues would be to routinely send preprints of recent work to in­ -The AMU Commissions on Pan-African Mathematics Olympiads dividuals in their field as well as to libraries of selected mathematics (chaired by Professor Mohammed Akkar of Morocco) has organized departments. To facilitate this, the AMU could provide the AMS with a three Olympiads with the aim of stimulating and encouraging African list of African mathematicians and their specific mathematical interests youths to study mathematics as well as to promote positive interactions as well as a list of mathematics departments and the specific areas of and healthy competition. research of their members. - The AMU Commission on History of Mathematics in Africa has 61n his report, Ayoub outlines how such a Book Foundation might published eight newsletters that are the authoritative source on research work: on history of mathematics in Africa. [For copies of the Newsletter, "First a 503c foundation is created. All of the mathematical sciences contact AMUCHMA chair, Professor Paulus Gerdes, Rector, Higher organizations will be asked to be a part of this foundation .... They Pedagogical Institute (ISP), Maputo, Mozambique.] will be asked to provide a one time grant as 'seed' money .... The - Last year, the AMU Commission on Women (chaired by Pro­ executive director [of the foundation], with the help of cooperating fessor Grace Alele-Williams of Nigeria) organized a symposium on the organizations, will solicit funds from private foundations. from U.S. "Mathematics Education of Women in Africa" and is currently com­ government agencies and from individual citizens .... piling a comprehensive list of women in mathematics in Africa. "These funds will be used initially for shipping costs and other -AfrikaMatematika, in existence since 1978, has been invigorated collateral expenses .... Book publishers will be solicited for contribu­ with a new Editorial and international Advisory Boards. An appeal was tions of monographs and members of the mathematical sciences will made "to our colleagues from all over the world to patronize this jour­ be asked to contribute journals and monographs .... Specific projects nal." [The annual subscription is US$20.00 which can be mailed to the might be proposed and funds solicited. E.g. Funds to purchase CD­ Editor-in-Chief, Professor S. 0. lyahen, Department of Mathematics, ROM [Compact Disc-Read Only Memory] readers and the Math Re­ University of Benin, Benin City, Nigeria.] views on CD-ROM."

Series in Discrete Mathematics and Theoretical Computer Science

Discrete and Computational Geometry: Volume 6 Papers from the DIMACS Special Year Jacob E. Goodman, Richard Pollack, and William Steiger, Editors

Discrete and Computational Geometry presents some of the results growing out of the workshops and the special year activities. Containing both survey articles and research papers, this collection presents an excellent overview of significant recent progress in discrete and computational geometry. The diversity of the papers demonstrates how geometry continues to provide a vital source of ideas in theoretical computer science and discrete mathematics as well as fertile ground for interaction and stimulation between the two disciplines. All prtces subject to change. Free shipment by surface: for air 1991 Mathematics Subject Classifications: 03, 05, 12, 13, 14, delivery, please add $6.50 per title. Prepayment required. Order from: Amertcan Mathematical Society, P.O. Box 1571. 15, 32, 51, 52, 57, 68, ISBN 0-8218-6595-1, Annex Station, Providence, RI 02901-1571. or call toll free 800- 378 pages (hardcover), December 1991 321-4AMS in the continental U.S. and Canada to charge with Individual mem. $40, List price $66, Institutional mem. $53 VlSA or MasterCard. Please add 7% GST to all orders totalling Your ordering code is DIMACS/6NA over $40 being shipped to Canada.

JANUARY 1992, VOLUME 39, NUMBER 1 19 News and Announcements

Calderon Receives National Medal search methods for major environmen­ differential equations in mathematical of Science tal problems. physics. The $3000 prize is intended Alberto P. Calder6n, University Pro­ Born May 23, 1917 in Connecticut, to recognize and reward talented young fessor Emeritus of Mathematics at the Lorenz received his A.B. in mathemat­ Canadian mathematicians. University of Chicago, received the Na­ ics from Dartmouth College in 1938 Karnran was born in Belgium on tional Medal of Science on September and his Sc.D. in meteorology from the May 22, 1959 to parents of Iranian de­ 16, 1991. The medal is the nation's Massachusetts Institute of Technology scent. He received his bachelor's degree highest award for scientific achieve­ in 1948. He spent his entire career at in 1980 and his master's degree in 1981 ments. Calder6n was one of twenty MIT, first as a member of the research from l'Universire Libre in Brussels. He medalists. staff (1946-1955), and then as an as­ came to Canada to continue his stud­ A piece on Calder6n's background sistant professor (1955-1962) and pro­ ies and received a Ph.D. in 1984 from and mathematical achievements is be­ fessor (1962-1981) in the meteorology the University of Waterloo, where his ing prepared for a future issue of No­ department. Currently, he is professor thesis won an award for excellence. He tices. emeritus at MIT. His other awards and then took a postdoctoral position at the honors include the Rossby Research Centre des Recherches Mathematiques Medal of the American Meteorological (CRM) in Montreal. In 1986, he vis­ Society (1969), the Symons Memorial ited the Institute for Advanced Study in Lorenz Receives Kyoto Prize Gold Medal of the Royal Meterological Princeton and joined the mathematics Edward N. Lorenz, a meteorologist who Society (1973), election to the National department at Waterloo. Since 1989, he was one of the first to explore the idea Academy of Sciences (1975), and the has been at McGill University, where of chaos in dynamical systems, has Crafoord Prize of the Royal Swedish he is an associate professor. received the 1991 Kyoto Prize in Basic Academy of Sciences (1983). The Aisenstadt Prize, which will Sciences. The prize consists of a gold be presented on January 29, 1992, medal and 45 million Japanese yen. is named for the philanthropist Andre Poincare showed at the turn of the McMullen Receives Salem Prize Curt McMullen of the University of Aisenstadt. The prizewinner was se­ century that certain types of determin­ lected by a CRM steering commit­ istic dynamical systems could exhibit California at Berkeley has been awarded the 1991 Salem Prize for his work tee consisting of twelve distinguished chaos, but this work went largely unno­ mathematicians. ticed. In his numerical research seventy on iteration and algebraic numbers. years later, Lorenz demonstrated that The prize, established in 1968, is pre­ even a system with a small number sented each year to a young mathema­ 1991 Autumn Prize of MSJ of variables could exhibit chaos, a re­ tician judged to have done outstanding The 1991 Autumn Prize of the Mathe­ sult that implied that the important work in the field of Raphael Salem­ matical Society of Japan was awarded factor was the nonlinearity of the sys­ primarily Fourier series and related top­ to Akihiro Tsuchiya of Nagoya Uni­ tem. Very small changes in the initial ics. The committee to select the 1991 versity for his outstanding contribution conditions can have a major effect on Salem Prize consisted of J. Bourgain, to two-dimensional conformal field the­ the evolution of the system, a notion V. Ravin, Y. Katznelson, and E. M. ory. known as the "butterfly effect," for it Stein. implies that even the flapping of a but­ Graduate Student Fulbrights for terfly's wings could change the state of Kamran Receives Aisenstadt Prize 1991-1992 the system dramatically. Lorenz's the­ Niky Karnran of McGill University The J. William Fulbright Foreign Schol­ oretical research established the basis has received the first Andre Aisenstadt arship Board and the United States In­ for computer-aided atmospheric physics Prize for his research in the application formation Agency have announced the and meteorology and developed re- of differential geometry to the study of names of U.S. graduate students who

20 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY ~~-"~~---.. -~------~~~~ w~~w:.--s-.. -~.--.. ~~~-.. -----~--~ .. -~~-~ .. ~-.... -- .. ~-~--..··· News and Announcements have received Fulbright awards for the (JPBM). He will direct the JPBM Office articles that would communicate some academic year 1991-1992. The follow­ of Governmental and Public Affairs, of the major developments of the day ing lists the three recipients in the a joint effort of the three societies, in mathematics research. He notes that mathematical sciences, together with AMS, the Mathematical Association breaking into business magazines and their home institution, the countries of America (MAA), and the Society new media avenues could further raise they will be visiting, and their research for Industrial and Applied Mathematics the profile of mathematics and com­ areas: MARGARET CONROY, Univer­ (SIAM). municate the message that mathematics sity of Notre Dame, Germany, topol­ In recent years, JPBM has served is having an impact on business and ogy; JOSHUA FINKLER, Reed Col­ as an effective vehicle for heighten­ industry. lege, Hungary, applied mathematics; ing awareness of the mathematical sci­ Federal grant support for math­ and ARTHUR WoERHEIDE, Univer­ ences. Its main role has been to forge ematical sciences research poses its sity of Illinois at Urbana-Champaign, ties with government agencies and own problems of communicating about Austria, number theory. other entities that support mathemati­ mathematical sciences research. Her­ cal sciences research, to increase public man intends to try to improve ties to AAUW Announces Fellowships awareness of mathematics through print the agencies and Congress to insure and Grants media and other avenues, and to act as a that the voice of mathematics is heard The American Association of Univer­ clearinghouse for general queries from in the clamor for more funds. The job sity Women (AAUW) has announced the public and the government about market in mathematics is another press­ fellowships and grants ranging from the mathematical sciences. ing concern. "Can we allay or mitigate $1000 to $25,000 each to one hundred Herman sees his role as serving difficulties of the job market?" he asks. women recipients who will do postdoc­ all segments of the mathematical sci­ Herman has not yet laid plans for toral research, complete doctoral disser­ ences community. "I want to help the specific JPBM projects. However, he tations, or enter the final year of study entire community-MAA, SIAM, and says he would like to bring in mathe­ in a number of selected professions. AMS-to set an effective strategy to get maticians to serve as visiting scientists None of the postdoctoral fellow­ mathematics on the national agenda," at the Washington office of JPBM to ships went to recipients in the math­ he says. "This is an unparalleled oppor­ contribute their expertise to specific ematical sciences. Among the disser­ tunity in that mathematics has figured projects. Herman will share planning tation fellows is LYNN KIAER of the prominently in the public eye in recent ideas on a regular basis with Society Florida Institute of Technology, who years," particularly in the areas of im­ members through meetings, columns, is studying discrete optimization strate­ proving precollege education, insuring and so on. He says he is looking for­ gies for timetabling; and SYLVIA WIL­ a sufficient supply of mathematical ex­ ward to active, increased community LIAMSON of Emory University, who is pertise in the nation, and recognizing involvement. studying fixed-point properties in or­ the impact of mathematics research on Herman took his present position at dered sets. science and technology. "The priority the University of Maryland after being Five women in the mathematical is to clearly get mathematics on the on the faculty of Pennsylvania State sciences received selected professions table and keep it there." University for eighteen years, where fellowships: CATHERINE AXTELL of Herman sees JPBM as a route by he served as chair of the mathematics Purdue University, in statistics; ELIZA­ which the mathematical sciences com­ department from 1985 to 1990. He has BETH BRADLEY of the Massachusetts munity can contribute to these kinds of also been on the faculties of the Univer­ Institute of Technology, in nonlinear national issues. "In comparison to what sity of California at Los Angeles and dynamics; LINDA GARANT of Tufts goes on in the physics and chemistry the University of Rochester. Herman's University, in mathematics; and Su­ communities, we have a way to go," he contributions to mathematical literature SAN ZARZECZNY of the University of remarks. "A great deal has been done have been largely in the area of opera­ California at Berkeley, in statistics. through the efforts of my predecessors tor algebras and mathematical physics, For information about applying for and Lisa Thompson [JPBM Assistant with much of his recent work focusing AA UW grants and fellowships, consult for Governmental Affairs], and I hope on classification of group actions on the "Stipends for Study and Travel" to build on what they have accom­ operator algebras and the modeling of section of the October 1991 issue of plished. We need to take advantage of dynamical systems. Notices, pages 1021-1022. present opportunities, map out a long­ term agenda, and then stick to it." For Congressional Staff Request Richard Herman example, in the area of coverage of Report from AMS Appointed to JPBM Post mathematics, "thanks to Kathleen Hoi­ In July 1991, a task force of Con­ Richard Herman, dean of the College of may [JPBM public information direc­ gressional staff from the House Com­ Computer, Mathematical, and Physical tor], we have been successful in placing mittee on Science, Space, and Tech­ Sciences at the University of Maryland, many more stories than in the past." nology asked the AMS to assist in a has agreed to serve also as chair of But he would also like to encourage pilot project to assess goals and pri­ the Joint Policy Board for Mathematics more mathematicians to write popular orities in the mathematical sciences.

JANUARY 1992, VOLUME 39, NUMBER 1 21 News and Announcements

The objective of the task force, which The report received a positive re­ tion, the institutions are specifically has initiated several similar projects in sponse from the Congressional staff, asked to consider women and members a range of research and development who found it very thoughtfully pre­ of groups traditionally underrepresented programs, was "to extract general cri­ pared. After a general introduction by in mathematics. teria which could be used to assess the Artin and Glimm, the staff asked sev­ This program is made possible success or failure of the wide variety eral specific questions about various through a bequest of $185,000 made to of R&D programs which the Commit­ points made in the report. Overall, the the Society. Barbara Trjitzinsky, wife tee authorizes." In response to the task meeting was a successful exchange, of Waldemar Trjitzinsky, bequeathed force request, the Society convened a with both sides indicating a willingness one-third of her estate to the AMS "to panel of twelve mathematical scientists to continue the dialogue, which _would be held, invested and maintained as a to produce a report. likely include a second iteration of the fund to be called the 'Waldemar J. Tr­ The starting point for the report report. jitzinsky Memorial Fund,' the income was a list of fifteen questions framed The House Committee on Science, only to be used in its discretion for by the task force. The questions fell into Space, and Technology has authoriza­ assistance to needy students studying three broad categories: goals, existing tion and oversight responsibility for the in the field of mathematics." assessment process, and attainment of National Science Foundation, the Na­ Waldemar Joseph Trjitzinsky was goals. Here are some examples of the tional Aeronautics and Space Adminis­ born in Russia in 1901 and received questions asked: What are the most tration, the National Institute for Stan­ his doctorate in mathematics from the important short- and long-term goals dards and Technology, and research and University of California at Berkeley. development at the Department of En­ of the discipline? What specific criteria He taught at a number of different ergy and the Environmental Protection are used to measure progress toward universities before taking a position on Agency. As a result, this Committee goals? How successfully is the dis­ the faculty of the University of Illi­ cipline achieving or making progress oversees a large percentage of federal funding for research in the mathemati­ nois at Urbana-Champaign in 1934, toward major goals? Because the math­ where he remained for the rest of his ematical sciences generally are not or­ cal sciences. The chair of the Commit­ tee is Representative George Brown, professional life. He showed particular ganized around clearly defined, pre­ concern for students of mathematics determined goals, the questions were Democrat from California. and in some cases made personal ef­ quite difficult for the panel to answer. The full text of the report will forts to insure that financial consider­ However, the panel made every effort appear in the February 1992 issue of ations would not hinder their studies. to provide clear and comprehensive an­ Notices. swers within the framework the task He served on the AMS Council from force had laid out. 1938 to 1940 and presented Invited AMS Awards Grants Addresses at two AMS meetings. A The result is a thirteen-page report to Four Universities covering a range of issues, including member of the Society for forty-six The AMS is pleased to announce the years, he died on December 8, 1973 in mathematical sciences research, math­ first group of schools selected to receive Mattapoisett, Massachusetts, where he ematics education, technology trans­ awards through the Society's Walde­ had lived since his retirement. fer, and human resources. The Society mar J. Trjitzinsky Memorial Fund. circulated drafts to a wide range of The awards of $2500 each will assist Trjitzinsky wrote about sixty pa­ members of the mathematical sciences needy students in mathematics. The pers, primarily on quasi-analytic func­ community. Their comments and criti­ four institutions receiving the awards tions and differential equations. During cisms contributed a great deal toward are: in Durham, North a stay at Harvard early in his career, producing a focused, coherent report. Carolina; the University of Scranton in Trjitzinsky collaborated with George On December 13, 1991, the re­ Scranton, Pennsylvania; Montana State David Birkhoff on some work in linear port was delivered to the Congressional University in Bozeman, Montana; and difference equations. In a letter of rec­ task force in Washington, DC. Pre­ Howard Payne University in Brown­ ommendation dated November 1, 1931, senting the report were panel members wood, Texas. The schools were se­ Birkhoff wrote: "I am very fond of Tr­ James G. Glimm of the State Uni­ lected randomly from the pool of nearly jitzinsky for his personal qualities. He versity of New York at Stony Brook, 500 AMS institutional members. Four is modest and even retiring, attractive in John C. Polking of Rice University, awards will be made each year. appearance and unusually charming in and AMS President Michael Artin of The awards are to be used to as­ his general personality ... Trjitzinsky is the Massachusetts Institute of Technol­ sist students majoring in mathematics heart and soul devoted to mathematics ogy, in addition to Joint Policy Board whose progress might be hindered by and a hard worker." for Mathematics (JPBM) Chair Richard financial circumstances. Each school The Society is honored to have H. Herman, AMS Executive Director chooses one student to receive the the opportunity to offer these special William H. Jaco, and JPBM Assis­ $2500 award. The Society has encour­ awards and to help keep alive Trjitzin­ tant for Governmental Affairs Lisa A. aged each institution to also provide sky's commitment to mathematics and Thompson. matching funds, if possible. In addi- mathematics students.

22 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY News and Announcements

Regional Technology Centers partment of Mathematics, 231 West through August 14 there will be a pro­ Established at 18th Avenue, Columbus, OH 43210. gram in Mathematical Physiology orga­ Ohio State University The deadline for applications is Febru­ nized by Nancy Kopell and Mike Reed; The increasing use of technology in ary 15, 1992. August 10 through 21 are the dates of teaching mathematics in secondary and the summer program for students, this middle schools provides new opportuni­ News from the year devoted to Dynamical Systems. ties for mathematics faculty to become Mathematical Sciences Because of the overlap with the Phys­ involved in precollege mathematics ed­ Research Institute iology program, the student program ucation. The Ohio State University re­ Berkeley, California will be held this year at UCLA, one of ceived a grant from the National Sci­ The Mathematical Sciences Research MSRl's sponsoring institutions. ence Foundation to establish regional Institute (MSRl) has scheduled eight During the fall, MSRl will be fea­ technology centers to train technology workshops during 1992. turing programs in Algebraic Geometry, specialists. Each center will consist of a The first three workshops are part of and Symbolic Dynamics. Five work­ college or university faculty member, a the 1991-1992 programs in Lie Groups shops are planned: September 21 - 23, secondary teacher, and a middle school and Ergodic Theory, and Statistics: Workshop on Algebraic Cycles, Com­ teacher. Ohio State, with support from February 10 -11, Workshop on Amen­ mittee: A. Beilinson, W. Fulto; October the NSF grant, will provide team train­ able Ergodic Theory, Committee: H. 12 - 16, Workshop on Visualization, ing through in-service summer sessions Furstenberg, D. Ornstein and B. Weiss; Committee: A. Marden; November 2 and academic year follow-up confer­ March 30 - April 3, Workshop on Sta­ - 6, Workshop on Symbolic Dynam­ ences. The regional teams will then help tistical Methods in Molecular Biology, ics, Committee: R. Adler, J. Franks, create and/or revise in-service train­ Organizer: M. Waterman; April 13 - D. Lind and S. William; November ing modules for technology specialists. 17, Workshop on Lie Groups, Ergodic 16 - 18, Workshop on Higher Dimen­ Those interested in forming teams with Theory, and Geometry, Committee: A. sional Geometry, Committee: J. Kollar, middle and high school teachers and Katok, R. Spatzier, and R. Zimmer S. Mori; December 2 - 4, Workshop receiving team training should write (chairman). on Curves, Abelian Varieties, and their TRANSIT, c/o Frank Demana and Bert During the summer, MSRl will Moduli, Committee: E. Arbarello, A. Waits, The Ohio State University, De- sponsor two special events: July 6 Beauville and J. Harris.

.... _ Spinor Construction of Vertex Operator CoNTEMPORARY Algebras, Triality, and E 8 (l) ' MATHEMATICS Alex J. Feingold, Igor B. Frenkel, and John F. X. Ries

121 Directed at mathematicians and physicists, this book is accessible to graduate students with some background in finite-dimensional Lie algebras and their representations. Spinor Construction The reader will learn how the concepts and techniques of Lie theory can be generalized of Vertex Operator Algebras, to give the algebraic structures associated with conformal field theory. The careful reader Triality, and E~ 11 will gain a detailed knowledge of how the spinor construction of classical triality lifts to the affine algebras, and plays an important role in a spinor construction of vertex operator Alex J. Feingold Igor B. Frenkel algebras, modules and intertwining operators with nontrivial monodromies. John F. X. Ries

1991 Mathematics Subject Classifications: 17,81 ISBN 0-8218-5128-4, 146 pp. (softcover), September 1991 lndiv. mem. $20, List $34, lnst. mem. $27 , Your ordering code is CONM/121NA __ All prices subject to change. Free shipment by surface: for air delivery, please add $6.50 per !Hie. Prepayment required. Order from: American Mathematical Society, P.O. Box 1571, Annex Station, Providence, Rl 02901-1571, or call toll free 800-321-4AMS in the Amencan Mathematical Soc1ety continental U.S. and Canada to charge with VISA or MasterCard. Please add 7% GST to all orders totalling over $40 being shipped to Canada.

JANUARY 1992, VOLUME 39, NUMBER 1 23 1992 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 The President will name at least six candidates for these ex officio for a term of three years is to be filled in the three places, among whom may be candidates nominated by election of 1992. The Council intends to nominate at least petition in the manner described in the rules and procedures. two candidates, among whom may be candidates nominated The candidate's assent and petitions bearing at least 100 by petition as described in the rules and procedures. valid signatures are required for a name to be placed on Five positions of member-at-large of the Council for a the ballot. In addition, several other rules and operational term of three years are to be filled in the same election. considerations, described below, should be followed. The Council intends to nominate at least ten candidates, among whom may be candidates nominated by petition in the manner described in the rules and procedures. Rules and Procedures Petitions are presented to the Council, which, according Use separate copies of the form for each candidate for vice­ to Section 2 of Article VII of the bylaws, makes the president, member-at-large, or member of the Nominating and nominations. The Council of 23 January 1979 stated the Editorial Boards Committees. intent of the Council of nominating all persons on whose 1. To be considered, petitions must be addressed to Robert M. Fossum, Secretary, P. 0. Box 6248, Providence, Rhode Island behalf there were valid petitions. 02940, and must arrive by 28 February 1992. Prior to presentation to the Council, petitions in support 2. The name of the candidate must be given as it appears of a candidate for the position of vice-president or of in the Combined Membership List. If the name does not appear member-at-large of the Council must have at least 50 valid in the list, as in the case of a new member or by error, it must signatures and must conform to several rules and operational be as it appears in the mailing lists, for example on the mailing considerations, which are described below. label of the Notices. If the name does not identify the candidate uniquely, append the member code, which may be obtained from the candidate's mailing label or the Providence office. 3. The petition for a single candidate may consist of several Editorial Boards Committee sheets each bearing the statement of the petition, including the Two places on the Editorial Boards Committee will be filled name of the position, and signatures. The name of the candidate by election. There will be four continuing members of the must be exactly the same on all sheets. Editorial Boards Committee. 4. On the next page is a sample form for petitions. Copies The new members will be elected in a preferential ballot. may be obtained from the Secretary; however, petitioners may The President will name at least four candidates for these make and use photocopies or reasonable facsimiles. 5. A signature is valid when it is clearly that of the member two places, among whom may be candidates nominated by whose name and address is given in the left-hand column. petition 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 100 However, the printed name and address will be checked against valid signatures are required for a name to be placed on the Combined Membership List and the mailing lists. No attempt the ballot. In addition, several other rules and operational will be made to match variants of names with the form of name in considerations, described below, should be followed. the CML. A name neither in the CML nor on the mailing lists is not that of a member. (Example: The name Robert M. Fossum is that of a member. The name R. Fossum appears not to be.) 7. When a petition meeting these various requirements ap­ Nominating Committee pears, the Secretary will ascertain whether the candidate agrees Three places on the Nominating Committee will be filled to stand for election to the position in question. Petitioners can by election. There will be six continuing members of the facilitate this process by submitting a statement to this effect from Nominating Committee. the candidate along with the petition.

24 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY NOMINATION PETITION FOR 1992 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 February, 1993.

Name and Address (printed or typed)

Signature

Signature

Signature

Signature

Signature

Signature

JANUARY 1992, VOLUME 39, NUMBER 1 25 CALL FOR SUGGESTIONS

There will be a number of contested seats in the 1992 AMS elections. Your suggestions are wanted by

THE NOMINATING COMMITTEE for vice-president, trustee, and five members-at-large of the council and by

THE PRESIDENT for three Nominating Committee members and two Editorial Boards Committee members

In Addition

THE EDITORIAL BOARDS COMMITTEE requests suggestions for appointments to various editorial boards of Society publications.

Send your suggestions for any of the above to:

Robert M. Fossum, Secretary American Mathematical Society Department of Mathematics University of Illinois 1409 West Green Street Urbana, IL 61801 Tuscaloosa, Alabama University of Alabama March 13-14, 1992

First Announcement

The eight-hundred-and-seventy-second meeting of the Amer­ Approximation theory: Modern methods, Charles A. ican Mathematical Society (AMS) will be held at the Uni­ Micchelli, and R. A. Zalik, Auburn University. versity of Alabama, Tuscaloosa, Alabama on Friday, March Abstracts for consideration for these sessions should 13, and Saturday, March 14, 1992. All sessions will be held have been submitted by the December 12, 1991 deadline. in the Paul W. Bryant Conference Center. This deadline was previously published in the Calendar of Invited Addresses AMS Meetings and Conferences and in the Invited Speakers and Special Sessions section of Notices. By invitation of the Southeastern Section Program Com­ mittee, there will be four invited one-hour addresses. The Contributed Papers speakers, their affiliations, and the titles of their talks where available are: There will also be sessions for contributed ten-minute Jane M. Hawkins, University of North Carolina, Chapel papers. Abstracts for consideration of these sessions should Hill, title to be announced. have been submitted by the January 2, 1992 deadline Charles A. Micchelli, IBM, Pyramid schemes for the previously published in the Calendar of AMS Meetings and recursive computation of multivariate polynomials. Conferences. Late papers will not be accommodated. Serge Ochanine, University of Kentucky, Lexington, What is elliptic cohomology. Peter M. Winkler, Bellcore, Linear extensions of par­ Registration tially ordered sets. The meeting registration desk will be located in the main Special Sessions lobby of the Paul W. Bryant Conference Center. The registration fees are $30 for members of the AMS, $45 By invitation of the same committee, there will be eight for nonmembers, and $10 for students or unemployed special sessions of selected twenty-minute papers. The mathematicians. topics of these sessions, and the names and affiliations of the organizers, are as follows: Social Event Spectral theory of ordinary and partial differential opera­ tors, Richard C. Brown, University of Alabama, Tuscaloosa. A social event and cash bar will be held for conference Infinite groups and group rings, Jon M. Corson, Martyn participants at the University Club on Friday evening from Russell Dixon, Martin J. Evans, Frank Roehl, University 7:00p.m. to 9:00p.m. The University Club occupies a large of Alabama, Tuscaloosa. antebellum home at the corner of University Boulevard and Ergodic theory and dynamical systems, Karma Dajani, Queen City Avenue. University of South Alabama, Jane M. Hawkins, Karl Accommodations Petersen, and Mate Wierdl, University of North Carolina, Chapel Hill. Rooms have been blocked for participants at the Holiday Inn, Combinatorial problems or partially ordered sets, Peter LaQuinta Inn, and the Quality Inn. These Inns are adjacent M. Winkler, Bellcore. to the exit off of I-20 and 1-59 on McFarland Boulevard in Operator algebras, Alan Hopenwasser, and Cecelia Tuscaloosa. Morning and evening van transportation will be Laurie, University of Alabama, Tuscaloosa. provided between these motels and the Bryant Conference Geometric topology, Vo Thanh Liem, and Bruce S. Center. A block of rooms is also being held in Parker-Adams Trace, University of Alabama, Tuscaloosa. Hall, close to the President's Mansion on campus. This is Harmonic analysis and related topics, Kai-ching Lin, Ta­ a small, older residence hall that is now used only for van T. Trent, James L. Wang, and Zhijian Wu, University conference participants and university visitors. In addition, a of Alabama, Tuscaloosa. very limited number of rooms are available at Dill's Motor

JANUARY 1992, VOLUME 39, NUMBER 1 27 Meetings

Court. Participants should make their own arrangements p.m.), and dinner (4:30p.m. - 6:30p.m.) on Friday and for with the hotel of their choice and ask for the AMS meeting lunch only on Saturday. The dining room offers all you can rate. All rates are subject to an eight percent tax. The AMS eat with a good selection of items at a reasonable price. is not responsible for rate changes or the quality of the The Oak Room in the Sheraton Capstone Inn, adjacent to accommodations offered by these hotels/motels. the Bryant Center, serves moderately priced lunches as well as a lunch buffet. A list of off campus restaurants will be Holiday Inn (2.9 miles to Bryant Conference Center) available at the registration desk. 3920 McFarland Boulevard, Tuscaloosa, AL 35405 Telephone: 800-322-3489 or 205-553-1550 The deadline for reservations is February 11. Parking Double $46 Free parking for the Bryant Conference Center is available in La Quinta Inn (3 miles to Bryant Conference Center) the lot at the comer of Paul Bryant Drive and Second Avenue. 4122 McFarland Boulevard, Tuscaloosa, AL 35405 Participants staying at Parker-Adams Hall may obtain visitor Telephone: 800-531-5900 or 205-349-3270 parking permits from the University Police Department in The deadline for reservations is February 19. Gorgas Hall located at the comer of University Boulevard Double $44 and Stadium Drive or may park in the lot adjacent to the College of Continuing Education. Quality Inn 3801 McFarland Boulevard, Tuscaloosa, AL 35405 Telephone: 800-228-5151 or 205-556-9690 Travel and Local Information The deadline for reservations is February 11. Single $39 Double $112 Triple $49 Tuscaloosa is easily reached by car on Interstate 20/59. When arriving by car take exit 73 and follow McFarland Dill's Motor Court (.6 miles to Bryant Conference Center) Boulevard (U.S 82). The Tuscaloosa Airport is served by 521 University Boulevard, Tuscaloosa, AL 35405 Atlantic Southeast Airlines (affiliated with Delta Airlines) Telephone: 205-758-7571 from Atlanta and American Eagle (affiliated with American The deadline for reservations is March 10. Airlines) from Nashville. Seats are limited and early reserva­ Double $41.75 Triple $45.75 tions are recommended. The Birmingham Airport has more frequent service and is approximately a one hour drive from Parke-Adams Hall (.4 miles to Bryant Center) Tuscaloosa. AMTRAK provides daily passenger rail service Reservations must be made by calling Sidney Hennessey to and from Tuscaloosa through Atlanta and New Orleans. at 205-348-2514. All rooms include linens. Advance payment is required and should be mailed to: Sid­ ney Hennessey, Department of Housing, University of Weather Alabama, P.O. Box 870399, Tuscaloosa, AL 35487. The deadline for reservations is March 2. The weather in Tuscaloosa in March is variable. In a recent Single $18 Double $26 year, daily lows averaged 43°F and daily highs averaged 67°F. Rainfall in March can be heavy. Food Service Joseph A. Cima Barna Dining, located in Mary Burke Hall, will be open for Associate Secretary breakfast (7:00 a.m. - 9:30 a.m.), lunch (11:15 a.m. - 1:30 Chapel Hill, North Carolina

28 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Springfield, Missouri Southwest Missouri State University March 20-21, 1992 First Announcement

The eight-hundred-and-seventy-third meeting of the Amer­ Semigroups, Boris M. Schein, University of Arkansas. ican Mathematical Society (AMS) will be held at the Fourier analysis, Vera B. Stanojevic, Southwest Mis­ Southwest Missouri State University (SMSU) on Friday, souri State University. March 20, and Saturday, March 21, 1992. All sessions and Approximation theory, Xingping Sun and Xiang Min addresses will be held in Glass Hall (John Q. Hammons Yu, Southwest Missouri State University. Parkway). Geometry of affine space, David Wright, Washington University. Invited Addresses Classical complex analysis and related areas, Jang-Mei By invitation of the Central Section Program Committee, Wu, University of Illinois, Urbana, and David Drasin, there will be four invited one-hour addresses. The speakers, Purdue University. their affiliations, and the titles of their talks where available Abstracts for consideration for these sessions should are: have been submitted by the December 12, 1991 deadline. Alexander Eremenko, Institute of Low Temperature This deadline was previously published in the Calendar of Physics and Engineering, Recent progress in value distribu­ AMS Meetings and Conferences and in the Invited Speakers tion theory. and Special Sessions section of Notices. Julia Knight, Notre Dame University, Algorithms based on guessing: nested priority arguments. Contributed Papers Peter Olver, University of Minnesota, title to be an­ nounced. There will also be sessions for contributed ten-minute Ernst A. Rub, Ohio State University, Nilpotent structures papers. Abstracts for consideration of these sessions should on principal bundles. have been submitted by the January 2, 1992 deadline previously published in the Calendar of AMS Meetings and Special Sessions Conferences. Late papers will not be accommodated. By invitation of the same committee, there will be twelve Registration special sessions of selected twenty-minute papers. The topics of these sessions, and the names and affiliations of The meeting registration desk will be located in the eastern the organizers, are as follows: foyer of the second floor of Glass Hall. The registration fees Harmonic analysis, Nakhle Habib Asmar and Stephen are $30 for members of the AMS, $45 for nonmembers, and John Montgomery-Smith, University of Missouri, Columbia. $10 for students or unemployed mathematicians. Combinatorics and discrete geometry, Margaret M. Bayer, University of Kansas, Lawrence. Accommodations Partial differential equations, Wengxiang Chen and Rooms have been blocked for participants at the University Shoo Chuan Hu, Southwest Missouri State University. Plaza Hotel, the Quality Inn North Motel, and the Park Commutative algebra, William J. Heinzer and Craig Inn Motel. Participants should make their own arrangements Huneke, Purdue University, and Kishor M. Shah, Southwest directly with the hotel of their choice and ask for the Missouri State University. special AMS meeting rate. Other motels close to the Quality The geometry of connections, Louis Hernandez, Univer­ Inn are: Best Inns (417-866-6766), Best Western (417-862- sity of Chicago, and Ernst Rub, Ohio State University. 0701), Econo Lodge (417-864-3565), Holiday Inn North Lie algebras, cohomology, and new applications to quan­ (417-865-8600), Markham Inn (417-866-3581), Motel 6 tum mechanics, Niky Kamran, McGill University, and Peter (417-869-4343), Ramada Inn (417-831-3131), Red Roof Inns J. Olver, University of Minnesota. (417-831-2100), Scottish Inns (417-865-6565), and Super 8 C*-algebras and algebraic topology, Ellen Maycock Motel (417-833-9218). Rates are subject to a room tax. The Parker, DePauw University. AMS is not responsible for rate changes or the quality of

JANUARY 1992, VOLUME 39, NUMBER 1 29 ··~·.--~---····~---·~mnml••••mu•m•••m&mam·mm~••m:•r------~-~--·----·-· Meetings the accommodations offered by these hotels/motels. from the airport), then traveling south on National Avenue for about four miles. The other motels can be reached by Holiday Inn - University Plaza Hotel (one block from turning from Kearney onto I-44, heading east. campus) Arriving by car: Springfield is located on 1-44, roughly 333 John Q. Hammons Parkway Springfield, MO 65806 halfway between Oklahoma City and St. Louis on U.S. Telephone: 417-864-7333 65, which runs north and south, and on U.S. 60. Those Plate rate: $62.50 arriving by car on I-44 should turn off at Exit 80 (Glenstone Avenue, also known as U.S. 65 Bus., where numerous Park Inn International (2 miles from campus) motels, including the Quality Inn, are located. The Park Inn 1772 South Glenstone Avenue, Springfield, MO 65806 is located five miles south on Glenstone. To reach Glass Hall Telephone: 417-882-1113 or the University Plaza Hotel, proceed south on Glenstone Plate rate: $43 Avenue for four miles to Grand Avenue. Proceed west on Grand Avenue for one mile, continue past the corner of the Quality Inn North (5 miles from campus) campus at National Avenue, then turn right onto John Q. I-44 at Exit 80-B, Springfield, MO 65806 Hammons Parkway. Telephone: 417-833-3108 Those arriving from the south on U.S. 65 should turn Plate rate: $45 west onto U.S. 60 at the point where these two roads intersect southeast of Springfield. About one mile after this Food Service interchange, Glenstone Avenue (U.S. 65 Business) branches off heading north. This is also relevant to anyone coming The Bears' Den has a salad bar, serves sandwiches, pizza, in from the east on U.S. 60. Those arriving from the and a limited variety of other hot foods. It is located in the southwest on U.S. 60 will find that it becomes Sunshine basement of the Campus Union. It will be open for lunch Avenue, which eventually crosses National Avenue and then on Friday and Saturday. A complete list of local restaurants Glenstone Avenue. will be available at the meeting registration desk. Parking Free parking will be available to participants in a large lot Weather and Local Information on the south side of Glass Hall. Permits will not be required, The average high temperature in Springfield in March is as the university will be on spring break. 55°F and the average low is 32°F. Springfield is the hub of Travel the Ozarks region, a scenic area of hills, forests, rivers, lakes, and limestone caverns. Spring is especially lovely, with the Arriving by air: Springfield Regional Airport is serviced redbuds and dogwoods in bloom. Fans of country music may by American Eagle, Northwest Airlink, TWA, USAir, and be interested in attending shows in Branson (about 40 miles United Airlines. The airport is serviced by Avis, Budget, south of Springfield), which has lately begun to attract some Hertz, and National car rental agencies. Transportation from of the top entertainers in the field; those interested should the airport to the Park Plaza Hotel or the Quality Inn can contact the Branson Chamber of Commerce (417-334-4137) be accomplished by hotel courtesy van. Transportation to to find out who will be performing at the time of the meeting other motels can be accomplished by taxi; relevant phone and to get phone numbers for reservations. numbers are: Springfield City Cab 865-5787 and Yellow Cab Co. 862-5511. Participants renting a car at the airport may Andy R. Magid reach the university (and the Holiday Inn- University Plaza Associate Secretary Hotel), by traveling east on Kearney Avenue (the only exit Norman, Oklahoma

30 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Joint Workshop on Education Reform

Changing the culture: Education and the research community Oakland/Berkeley, California, March 5 -March 8, 1992

As part of the initiative to identify and cultivate educational versity of California, Berkeley, and the Office of Academic leadership in the mathematics research community, the joint Affairs, University of California. workshop is aimed at activating individual mathematicians to The workshop is limited to sixty participants. Funding become involved in education reform as the first step in the for the workshop, including funds to provide room (double process of making systematic changes. While highlighting occupancy) and board for participants, is being sought opportunities to become involved in undergraduate education from the National Science Foundation. Participants will be reform, the workshop will also present projects in precollege housed at the Waterfront Plaza Hotel in Oakland, California. mathematics education with implications for undergraduate Sessions will be held at the Waterfront Plaza Hotel, the reform. To further the view that quality mathematics edu­ University of California, Berkeley campus, and MSRI. cation is the collective commitment of the profession, the Those interested in attending the Workshop are invited program will include discussions on policy issues relating to to request an application and should send the following in­ how departments, institutions and professional organizations formation to: Joint Workshop Coordinator, American Math­ can support education efforts and the individuals involved ematical Society, P.O. Box 6887, Providence, R.I. 02940, in these efforts. email: [email protected], before January 10, 1992. Presentations will feature mathematicians who are active Please type or print the following: in educational projects. Speakers include: Donald Bushaw, 1. Full name; Washington State University; Joan Ferrini-Mundy, Uni­ 2. Mailing address; versity of New Hampshire; Avner Friedman, Institute for 3. Telephone number and area code for office and home; Mathematics and its Applications; Harvey Keynes; Univer­ 4. email address if available; sity of Minnesota; D. J. Lewis, University of Michigan, Ann Arbor; Calvin Moore, University of California, Berkeley; A registration fee of $100 must accompany applications. Hugo Rossi, University of Utah; Paul Sally, University of When returning applications please enclose a check or Chicago; Uri Treisman, University of Texas at Austin; and money order (payable to the American Mathematical Philip Wagreich, University of Illinois at Chicago. Society). Should you not be accepted, your fee will be The workshop is co-sponsored by the American Math­ refunded. Applications must be submitted by January 24, ematical Society (AMS), the Mathematical Association of 1992. Notification of acceptance or refunds will be mailed America (MAA), the Mathematicians and Education Re­ by February 7, 1992. Applications received after January 24 form Network (MER), the Mathematical Sciences Research will be considered until all spaces are filled. Full refunds Institute (MSRI), the Society for Industrial and Applied will be granted if requested by February 21, 1992. After that Mathematics (SIAM), the Department of Mathematics, Uni- time no refunds will be made for cancellations.

JANUARY 1992, VOLUME 39, NUMBER 1 31 J ({J)ilffit Mee1tilrilg

J 1Ullffi® 2Sl = J uliy Jl ~ JL SJSJ2 Cam1briccllge~ Elffiglialril

Dear Colleagues:

Tbe American Mathematical Society a1zd the London Mathematical Society have joined forces to organize a meeting to be held in Cambridge, England, from Monday, june 29 to Wednesday, july 1, 1992. A joint Program Committee consisting of members of both societies bas worked diligent~v to create an excellent scientific program consisting offive Invited Addresses and ten Special Sessions. Tbere will also be sessions for shorter contributed papers.

It is the first time that the two societies have collaborated in this way and we trust the event will be a model for future similar joint meetings. We hope this meeting will encourage cooperation between members of the two societies and among mathematicians throughout the world.

Tbe joint Meeting is being held at a propitious time for the UK mathematical community. Tbe first symposia at the Institute for Mathematical Sciences recently established in Cambridge, will start immediately after the meeting. We hope that participants will take the opportunity to visit the Institute during their stay in Cambridge.

On behalf of our two societies we cordially invite you to participate in the meeting. It will be a mathematical feast that will most certainly be memorable. We are pleased that our societies are working together to offer our members a meeting of this nature and we are sure that it will be a rewarding experience for all.

Sincerely yours,

Michael Artin President American Mathematical Society Joint Meeting of the American and London Mathematical Societies Cambridge, England June 29-July 1, 1992

The Bridge of Sighs

The first joint meeting of the American Mathematical affiliations, and the titles of their talks are: Society (AMS) and the London Mathematical Society (LMS) John M. Ball, Heriot-Watt University, Edinburgh, Energy will be held at the , England, from minimization and microstructure. Monday June 29 to Wednesday July 1, 1992. Lawrence Craig Evans, University of California, Berke­ ley, Harmonic maps and Hardy spaces. Joint Program Committee Benedict H. Gross, , Langlands pa­ rameters in representation theory and number theory. The members of the Joint Program Committee are William Nigel J. Hitchin, , Einstein metrics Abikoff, Sir , Hyman Bass, Robert M. and algebraic geometry. Fossum, and Sir . Edward Witten, School of Natural Science, Institute for Advanced Study, Princeton University, Localization and Local Organizing Committee gauge theories. The members of the Local Organizing Committee are Professor J. H. Coates (chair), Dr. W. B. R. Lickorish, Mrs. Special Sessions S. Lowe, Miss S. M. Oakes, Dr. A. R. Pears, Dr. N. I. Shepherd-Barron, and Dr. R. L. Taylor. By invitation of the same committee, there will be ten special sessions of selected twenty-minute papers. The the names and affiliations of the organizers, are as follows: Invited Addresses Discrete group actions, Alan Beardon, University of By invitation of the Joint Program Committee, there will Cambridge, William J. Harvey, King's College London, C. be five invited one-hour addresses. The speakers, their M. Series, University of Warwick.

JANUARY 1992, VOLUME 39, NUMBER 1 33 Meetings

Probabilistic combinatorics, Bela Bollobas, University Abstracts should be prepared on the standard AMS form of Cambridge, and Ronald L. Graham, AT&T Bell Labo­ available from the AMS office in Providence, the LMS ratories. office in London or in most Departments of Mathematics. Number theory, John H. Coates, University of Cam­ Abstracts should be sent to the Abstracts Coordinator, bridge. American Mathematical Society, Meetings Department, Post Discrete geometry and convexity, Jacob E. Goodman, Office Box 6887, Providence, Rhode Island 02940, USA, CUNY, City College, New York, and David Larman, so as to arrive before the February 28, 1992 abstract University College, London. deadline. Participants are reminded that a charge of $16 is The microstructure of crystals, Richard D. James, Uni­ imposed for retyping abstracts that are not in camera-ready versity of Minnesota, Minneapolis. form. Late papers will not be accommodated. Operator algebras, Vaughan F. R. Jones, University of California, Berkeley, Anthony J. Wasserman, University of California, Berkeley, and E. Christopher Lance, University Electronic Submission of Abstracts of Leeds. This service is available to those who use the 'lEX typesetting Current trends in numerical analysis of nonlinear prob­ system and can be used with abstracts of papers to be lems, Rangachary Karman, University of Texas at Arling­ presented at this meeting. Requests to obtain the package ton. of files may be sent electronically on Internet to abs­ Groups: finite and algebraic, William M. Kantor, Uni­ [email protected]. Requesting the files electronically versity of Oregon, and Jan Saxl, University of Cambridge. will likely be the fastest and most convenient way, but users Geometric topology in low dimensions, W. B. R. Lickor­ may also obtain the package on IBM or Macintosh diskettes, ish, University of Cambridge. available free of charge by writing to: Abstracts Coordinator, Classical analysis, Cora S. Sadosky, Howard University. American Mathematical Society, Meetings Department, P.O. Abstracts for consideration for these sessions should be Box 6887, Providence, RI 02940, USA. When requesting the submitted by the February 7, 1992 deadline. This deadline abstracts package, users should be sure to specify whether was previously published in the Calendar of AMS Meetings they want the plain 1}3X, ~-'lEX, or the gqp;x package. and Conferences and in the Invited Speakers and Special Sessions section of Notices of the AMS and in the IMS Other Events of Interest Newsletter. Book Exhibits All meeting participants are invited to visit the Book Contributed Papers Exhibit which will be in the Mill Lane Lecture Room Block There will also be sessions for contributed ten-minute papers. (MLLRB), 2nd floor. Books published by the two Societies together with publications of Cambridge University Press and Oxford University Press will be on display. Books will be sold at discounted prices. The Book Exhibit will be open from 9:00a.m. to 5:00p.m. on Tuesday and Wednesday. The for Mathematical Sciences The Isaac Newton Institute for Mathematical Sciences has been established in Cambridge as a British national research institute with Sir Michael Atiyah as Director. Its activities will encompass pure mathematics, applied mathe­ matics, statistics, engineering, computer science, theoretical physics, and all the other sciences in which mathematics is applied. Construction of a purpose-designed building for the Institute will be completed shortly before the meeting. There will be an "Open Day" on Thursday, July 2, from 10:00 a.m. until 3:00 p.m.

Social Events A complimentary reception will be provided by the LMS for all registered participants. It will be held in the Dining Hall of Robinson College at 9:15p.m. on Monday June 29. In order to prepare this reception for the accurate number, please so indicate on the preregistration/housing form if you King's College Chapel plan to attend this function.

34 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Meetings

A Conference Dinner will be provided for all participants resident at Robinson College. It will be held in the Dining Room of Robinson College at 7:30 p.m. on Tuesday June 30. A limited number of places at the Conference Dinner will be available to participants not resident at Robinson College. It will be necessary for non-residents to purchase tickets for the dinner at the time of preregistration. The cost of the Conference Dinner to those not resident at Robinson College will be $46.00/£24.70 and tickets must be requested at preregistration time. The deadline to receive a cancellation refund of SO% May 22, 1992.

Preregistration All participants must preregister in advance of the meeting by May 1, 1992. The registration fee is $30.00/£16.50. North American residents must preregister through the AMS Mathematics Meetings Service Bureau (MMSB) and pay a registration fee of $30. All others should preregister through the LMS. It must be stressed that those who have not preregistered will not be permitted to register at the meeting. Preregistered participants should pick up their badge and program at the meeting either at Robinson College on Monday, June 29, or at the Mill Lane Lecture Room Block on Tuesday, June 30. Preregistration through electronic mail is available to U.S. participants only. To preregister by this method please send a message to [email protected] requesting this service. A message will be sent back within 24 hours with instructions on how to complete the format required. Credit card is the ONLY method of payment which Robinson College can be accepted for electronic preregistration. Forms received through this method will be treated in the same functional. It is set on several acres of wooded gardens, manner as forms received through U.S. mail, and the same and only a ten-minute walk from the Mill Lane Lecture deadlines apply. Receipt of the Pregistration/Housing Form Room Block and the Babbage Lecture Theatre, where all and payment will be acknowledged by the MMSB. The the meeting activities will take place. same deadlines apply as for preregistration by mail. The All accommodation at Robinson College has been re­ deadline to receive a cancellation refund of SO% is June served for the meeting. There are 175 bedrooms with 21,1992. individual bathrooms and 76 bedrooms with shared bath­ Accommodation at Robinson College must be booked at rooms. All rooms are centrally heated and many have preregistration and payment in full should be made at that individual balconies. There are no double rooms available time. Accommodation at the University Arms Hotel or the but the suites of rooms with shared bathrooms are suitable Cambridge Holiday Inn can only be obtained through the for couples. Bathrooms are equipped with bathtubs, WCs, MMSB at preregistration. Reservations for these accommo­ hand basins, towels, and soap. Shaver socket outlets provide dations will be processed by the MMSB. Any reservation 115 or 230 volt supply. Rooms are furnished with comfort­ requests sent to the LMS will be forwarded by the LMS to able divan beds, easy chairs, desks, and ample closet and the MMSB. Reservations cannot be made directly through drawer space. Tea and coffee-making facilities are provided the hotels. Those who wish to arrange their own accom­ in all bedrooms. modation must still preregister and pay the conference As is traditional in Cambridge colleges, accommodation registration fee. is segregated by staircases rather than by floors. Some staircases will be designed as non smoking areas for the duration of the meeting. Accommodation It is hoped that participants will take advantage of the Robinson College opportunity to stay at Robinson College. A room and board Robinson College is Cambridge University's newest package at a cost of $424.08/£228.00 will include a bed for college. It offers hotel comfort at an economic level. the nights of Monday, Tuesday, and Wednesday; a buffet The College building is architecturally striking and highly meal on Monday evening; breakfast, lunch, and dinner on

JANUARY 1992, VOLUME 39, NUMBER 1 35 ,•'

n... 1 - Robinson College ~ 5{] 2 - University Arms Hotel 3 - Holiday Inn

4 - Mill Lane Lecture Room Block

5- Babbage Lecture Theater

6 - Isaac Newton Institute

Car Park

Clare Hall Pedestrian Street

University Rugby Ground ... Private Footpath

University Music- School Public Footpath River SidgwickSite ~ {Univeristy Depts.) •- Museum of Classical Archaeology -- ...... SCALE

I I I I I 300 yards

I I I I I 300 metres Meetings

Tuesday and Wednesday; and breakfast on Thursday. A If Northwest Airlines does not provide convenient service limited number of rooms will be available for Sunday, from your area, TRAVCON will be happy to inform you of June 28, at an extra charge of $81.84/£44.00 and includes the most convenient flights and lowest available airfare on breakfast on Monday. It is regretted that accommodation at other airlines. Each participant will receive $100,000 flight Robinson College is not available outside this period. insurance with each ticket purchased through TRAVCON aboard any airline. For further information regarding these University Arms Hotel special airfares, contact TRAVCON, Inc at 1-800-999-9780 The University Arms has been Cambridge's leading or 203-232-9939. hotel since 1834. It has been extensively modernized, but Participants arriving at Gatwick, Heathrow, or Stansted still retains the elegance of former times. Single, twin, or airports are recommended to travel to Cambridge on Premier double en suite bedrooms are available at a nightly rate of Travel Cambridge Coach Service #79. Coaches leave at $159.96/£86.00 for a single room and $195.30/£105.00 for hourly intervals. Alternatively, there is frequent train service a twin or double room. from London King's Cross and Liverpool Street stations. If Holiday Inn Cambridge travelling from the airports by car, follow motorways M25 The Holiday Inn is Cambridge's newest hotel, having then Mll. opened in 1991. Its facilities include an indoor swimming Participants in the meeting will have an opportunity pool. Single, twin, or double en suite bedrooms are available to explore the historic city of Cambridge. The University at a nightly rate of $130.20/.£70.00 for a single room and consists of over thirty self-governing colleges spread around $204.60/£110.00 for a twin or double room. the city centre in beautiful surroundings. King's College Please note that the dollar rates listed above for accom­ Chapel, the Great Court of Trinity College, and the Bridge of Sighs at St. John's College will perhaps be well-known to modation are subject to market fluctuation and may be more everyone but there are many other buildings both medieval or less than shown at the time of the meeting. and modem that must be seen. There are many museums Other Hotels and Guest Houses and galleries of which the most notable is the Fitzwilliam Information about other accommodation in Cambridge Museum. The Tourist Information Centre on Wheeler Street can be obtained from the Cambridge Tourist Information publishes a Two Hour Guide to Cambridge which describes Centre, Wheeler Street, Cambridge CB2 3BQ, United a walking tour of the main sights. For those with more time Kingdom. The Information Centre publishes a booklet titled to spare, the Tourist Centre has much more information on Accommodation for Visitors in and around Cambridge which places to visit and things to see. gives details of hotels, guest houses, and establishments providing bed and breakfast. It should be noted that the Other Conferences and Meetings City of Cambridge is a great tourist attraction. Meeting The European Congress of Mathematics (ECM) will be held participants who wish to make their own arrangements for from July 6-10, 1992, in Paris, France. This is the first accommodation are advised that it will be necessary to make Congress of the European Mathematical Society (EMS). a reservation long in advance of the date of the meeting. There will be forty-one conferences on pure and applied mathematics and fifteen round tables on the general theme Travel and Local Information Mathematics and Society. For further information write to: ECM, College de France, 3 rue d'Ulm, F75005, Paris, TRAVCON, INC,. the official travel management firm for the France. A list of meetings and conferences being held in meeting, has arranged for special discounts aboard Northwest Europe before or after this meeting will be provided upon Airlines (Northwest Airlines' London airport is Gatwick). request.

JANUARY 1991, VOLUME38, NUMBER 1 37 Invited Addresses and Special Sessions

Invited Addresses Organizers and Topics at AMS Meetings of Special Sessions The individuals listed below have accepted invitations to The list below contains all the information about Special address the Society at the times and places indicated. For Sessions at meetings of the Society available at the time some meetings, the list of speakers is incomplete. this issue of Notices went to the printer. The section below entitled Information for Organizers describes the timetable for announcing the existence of Special Sessions. Springfield, MO, March 1992 Please see the first announcement of this meeting elsewhere in this issue. March 1992 Meeting in Tuscaloosa, Alabama Southeastern Section Associate Secretary: Joseph A. Cima Deadline for organizers: E"tpired Tuscaloosa, AL, March 1992 Deadline for consideration: Expired Please see the first announcement of this meeting elsewhere Please see the first announcement elsewhere in this issue. in this issue. March 1992 Meeting in Springfield, Missouri Central Section Bethlehem, PA, April1992 Associate Secretary: Andy R. Magid Jean-Luc Brylinski Edward Y. Miller Deadline for organizers: Expired Ingrid Daubechies Douglas C. Ravenel Deadline for consideration: &pired Please see the first announcement elsewhere in this issue.

Cambridge, England, June 1992 April1992 Meeting in Bethlehem, Pennsylvania (Joint meeting with the London Mathematical Society) Eastern Section Please see the first announcement of this meeting elsewhere Associate Secretary: W. Wistar Comfort in this issue. Deadline for organizers: Er:pired Deadline for consideration: Etpired Edward F. Assmus, Jr. and Jennifer D. Key, Finite geometry Grahame Bennett, Jeffrey S. Connor, and Andrew K. Snyder, Dayton, OH, October 1992 Sequence spaces Martin Golubitsky Louis H. Kauffman Jean-Luc Brylinski and Dennis A. McLaughlin, Character- Jonathan I. Hall J. T. Stafford istic classes, algebraic K-theory, and field theory Donald M. Davis and Douglas C. Ravenel, Homotopy theory David L. Johnson and Penny D. Smith, Geometric analysis Washington, DC, April1993 Xiao-Song Lin, New invariants of links and 3-manifolds Fan R. K. Chung Joel Sprock Lee J. Stanley, Set theory Leopold Flatto A. Zamolodchikov Joseph E. Yukich, Stochastic processes

Invited addresses at Sectional Meetings are selected by the Section Program Committee, usually twelve to eighteen June 1992 Meeting in Cambridge, England (Joint Meeting with the London Mathematical Society) months in advance of a meeting. Members wishing to nomi­ Associate Secretary: Robert M. Fossum nate candidates for invited addresses should send the relevant Deadline for organizers: &pired information to the Associate Secretary for the Section who Deadline for consideration: February 7, 1992 will forward it to the Section Program Committee. Please see the first announcement elsewhere in this issue.

38 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY m ommmoo-omOmmmmo• I ~ 1 I B&!I:UJ~PF&.W"-•mmmm O Invited Addresses and Special Sessions

October 1992 Meeting in Dayton, Ohio March 1994 Meeting in Lexington, Kentucky Central Section Southeastern Section Associate Secretary: Andy R. Magid Associate Secretary: Deadline for organizers: January 30, 1992 Joseph A. Cima (until 1131193) Deadline for consideration: July 13, 1992 Robert J. Daverman (after 1/31/93) Joanne M. Dombrowski and Richard Mercer, Operator Deadline for organizers: June 18, 1992 theory and operator algebras Deadline for consideration: To be announced Anthony B. Evans and Terry A. McKee, Combinatorics and graph theory March 1994 Meeting in Manhattan, Kansas Central Section Louis H. Kauffman, Knots and topological quantum field Associate Secretary: Andy R. Magid theory Deadline for organizers: June 25, 1993 Joe D. Mashburn, Set-theoretic topology Deadline for consideration: To be announced

January 1993 Meeting in San Antonio, Texas January 1995 Meeting in Denver, Colorado Associate Secretary: W. Wistar Comfort Associate Secretary: Andy R. Magid Deadline for organizers: April 13, 1992 Deadline for organizers: April 20, 1994 Deadline for consideration: September 17, 1992 Deadline for consideration: To be announced

March 1993 Meeting in Knoxville, Tennessee March 1995 Meeting in Chicago, Illinois Southeastern Section Central Section Associate Secretary: Associate Secretary: Andy R. Magid Joseph A. Cima (until 1131/93) Deadline for organizers: June 24, 1994 Robert J. Daverman (after 1/31/93) Deadline for consideration: To be announced Deadline for organizers: June 26, 1992 Deadline for consideration: To be announced January 1996 Meeting in Orlando, Florida Associate Secretary: Lance W. Small April/993 Meeting in Salt Lake City, Utah Deadline for organizers: April 12, 1995 Western Section Deadline for consideration: To be announced Associate Secretary: Lance W. Small Deadline for organizers: July 9, 1992 Information for Organizers Deadline for consideration: To be announced Special Sessions at Annual and Summer Meetings are held under the supervision of the Program Committee for National April/993 Meeting in Washington, DC Meetings (PCNM). They are administered by the Associate Eastern Section Associate Secretary: Secretary in charge of that meeting with staff assistance from W. Wistar Comfort (until 1131193) the Meetings Department in the Society office in Providence. Lesley M. Sibner (after 1131193) According to the "Rules for Special Sessions" of the Deadline for organizers: July 17, 1992 Society, Special Sessions are selected by the PCNM from Deadline for consideration: To be announced a list of proposed Special Sessions in essentially the same manner as individuals are selected to give Invited Addresses. May 1993 Meeting in DeKalb, Illinois The number of Special Sessions at a Summer or Annual Central Section Associate Secretary: Andy R. Magid Meeting is limited. The algorithm that determines the number Deadline for organizers: August 21, 1992 of Special Sessions allowed at a given meeting, while Deadline for consideration: To be announced simple, is not repeated here, but can be found in "Rules for Special Sessions" on page 614 in the April 1988 issue of August 1993 Meeting in Vancouver, Notices. British Columbia, Canada Each person selected to give an Invited Address is Associate Secretary: Lance W. Small invited to generate a Special Session, either by personally Deadline for organizers: November 11, 1992 organizing one or by having a Special Session organized by Deadline for consideration: To be announced others. Proposals to organize a Special Session are sometimes requested either by the PCNM or by the Associate Secretary. October 1993 Meeting in College Station, Texas Central Section Other proposals to organize a Special Session may be Associate Secretary: Andy R. Magid submitted to the Associate Secretary in charge of that Deadline for organizers: January 22, 1993 meeting (who is an ex-officio member of the committee and Deadline for consideration: To be announced whose address may be found below). These proposals must be in the hands of the PCNM at least nine months prior to January 1994 Meeting in Cincinnati, Ohio the meeting at which the Special Session is to be held in Associate Secretary: order that the committee may consider all the proposals for Joseph A. Cima (until 1131193) Special Sessions simultaneously. Proposals that are sent to Robert J. Daverman (after 1/31/93) Deadline for organizers: April 5, 1993 the Providence office of the Society, to Notices, or directed Deadline for consideration: To be announced to anyone other than the Associate Secretary will have to be

JANUARY 1992, VOLUME 39, NUMBER 1 39 Invited Addresses and Special Sessions

forwarded and may not be received in time to be considered Southeastern Section for acceptance. Joseph A. Cima, Associate Secretary (until January 31, 1993) It should be noted that Special Sessions must be an­ Department of Mathematics University of North Carolina, Chapel Hill nounced in Notices in such a timely fashion that any member Chapel Hill, NC 27599-3902 of the Society who so wishes may submit an abstract for Electronic mail: [email protected] consideration for presentation in the Special Session before (Telephone 919-962 -1050) the deadline for such consideration. This deadline is usually Robert J. Daverrnan, Associate Secretary (beginning February 1, 1993) three weeks before the deadline for abstracts for the meeting Department of Mathematics University of Tennessee in question. Knoxville, TN 37996-1300 Special Sessions are very effective at Sectional Meetings (Telephone 615-974-6577) and can usually be accommodated. The processing of As a general rule, members who anticipate organizing Special Sessions at proposals for Special Sessions for Sectional Meetings is AMS meetings are advised to seek approval at least nine months prior to the scheduled date of the meeting. No Special Sessions can be approved too late handled in essentially the same manner as for Annual to provide adequate advance notice to members who wish to participate. and Summer Meetings by the Section Program Committee. Again, no Special Session at a Sectional Meeting may be Information for Speakers approved so late that its announcement appears past the A great many of the papers presented in Special Sessions at deadline after which members can no longer send abstracts meetings of the Society are invited papers, but any member for consideration for presentation in that Special Session. of the Society who wishes to do so may submit an abstract The Society reserves the right of first refusal for the for consideration for presentation in a Special Session, publication of proceedings of any Special Session. These provided it is received in Providence prior to the special proceedings appear in the book series Contemporary Math­ early deadline announced above and in the announcements of ematics. the meeting at which the Special Session has been scheduled. More precise details concerning proposals for and orga­ Contributors should know that there is a limitation in size nizing of Special Sessions may be found in the "Rules for of a single Special Session, so that it is sometimes true that Special Sessions" or may be obtained from any Associate all places are filled by invitation. Papers not accepted for Secretary. a Special Session are considered as ten-minute contributed papers. Abstracts of papers submitted for consideration for pre­ sentation at a Special Session must be received by the Providence office (Meetings Department, American Mathe­ Proposals for Special Sessions to the matical Society, P. 0. Box 6887, Providence, RI 02940) by the special deadline for Special Sessions, which is usually Associate Secretaries three weeks earlier than the deadline for contributed papers The programs of Sectional Meetings are arranged by the for the same meeting. The Council has decreed that no Associate Secretary for the section in question: Western Section paper, whether invited or contributed, may be listed in the Lance W. Small, Associate Secretary program of a meeting of the Society unless an abstract of the Department of Mathematics paper has been received in Providence prior to the deadline. University of California, San Diego Electronic submission of abstracts is available to those La Jolla, CA 92093 Electronic mail: [email protected] who use the 1E,X typesetting system. Requests to obtain (Telephone 619-534-3590) the package of files may be sent electronically via the Central Section Internet to [email protected]. Requesting the Andy R. Magid, Associate Secretary files electronically will likely be the fastest and most Department of Mathematics convenient way, but users may also obtain the package University of Oklahoma on IBM or Macintosh diskettes, available free of charge 601 Elm PHSC 423 Norman, OK 73019 by writing to: Electronic Abstracts, American Mathematical Electronic mail: [email protected] Society, Publications Division, P.O. Box 6248, Providence, (Telephone 405-325-6711) RI 02940, USA. When requesting the abstracts package, Eastern Section users should be sure to specify whether they want the plain W. Wistar Comfort, Associate Secretary (until January 31, 1993) 1E,X, .J\A4S'-1E,X, or the illFX package. Department of Mathematics Wesleyan University Number of Papers Presented Middletown, CT 06457 Electronic mail: [email protected] Joint Authorship (Telephone 203-347-9411) Although an individual may present only one ten-minute Lesley M. Sibner, Associate Secretary (beginning February 1, 1993) contributed paper at a meeting, any combination of joint Department of Mathematics authorship may be accepted, provided no individual speaks Polytech University of New York Brooklyn, NY 11201-2990 more than once. An author can speak by invitation in more (Telephone 718-260-3505) than one Special Session at the same meeting.

40 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY ··········-·············-··-······---·····----··········--······-···· ···········-·-·········~ BW+11!!!!'n - ...... Invited Addresses and Special Sessions

An individual may contribute only one abstract by title are usually made eighteen to twenty-four months in ad­ in any one issue of Abstracts, but joint authors are treated vance. Host departments supply local information, ten to as a separate category. Thus, in addition to abstracts from twelve rooms with overhead projectors for contributed pa­ two individual authors, one joint abstract by them may also per sessions and Special Sessions, an auditorium with twin be accepted for an issue. overhead projectors for invited addresses, and registration clerks. The Society partially reimburses for the rental of Site Selection for Sectional Meetings facilities and equipment, and for staffing the registration Sectional Meeting sites are recommended by the Associate desk. Most host departments volunteer; to do so, or for more Secretary for the Section and approved by the Committee information, contact the Associate Secretary for the Section. of Associate Secretaries and Secretary. Recommendations

1992 Summer Seminar in Applied Mathematics Exploiting Symmetry in Applied and Numerical Analysis Colorado State University, July 26-August 1

The twenty-second AMS-SIAM Summer Seminar in Applied Ian Melbourne, University of Houston; Hans-Detlef Mit­ Mathematics will be held July 26-August 1, 1992 at telmann, Arizona State University; K. Murota, University Colorado State University, Fort Collins, Colorado. The of Tokyo; Heinz-Otto Peitgen, University of Bremen, Ger­ seminar will be sponsored by the American Mathematical many; Tudor Ratiu, University of California, Santa Cruz; Society, the Society for Industrial and Applied Mathematics, Werner C. Rheinboldt, University of Pittsburgh; Duane and the Department of Mathematics at Colorado State Sather, University of Colorado; David Sattinger, Univer­ University. It is anticipated that it will be supported by grants sity of Minnesota; Jiirgen Scheurle, , from federal agencies. The proceedings of the seminar will Germany; Andre Vanderbauwhede, University of Ghent, be published by the American Mathematical Society in the Belgium; Bodo Werner, University of Hamburg, Germany. Lectures in Applied Mathematics series. The Organizing Committee consists of Martin Golu­ The aim of the conference is to provide a wide­ bitsky, University of Houston; Klaus W. Kirchgassner, ranging survey of the exploitation of symmetry in applied University of Stuttgart, Germany; Peter J. Olver, University and numerical analysis. The seminar will have both an of Minnesota; and the local organizers Eugene L. Allgo­ entry level summer school component intended for young wer (Co-chairman), Kurt Georg (Co-chairman), and Rick researchers and a frontier level research aspect. A number Miranda (Co-chairman), Colorado State University. of the anticipated participants will be experts from foreign Those interested in attending the Seminar should send countries. the following information to Donna Salter, Conference Co­ A purpose of the seminar is to stimulate interaction be­ ordinator, American Mathematical Society, P.O. Box 6887, tween aspects of Applied Mathematics (e.g., PDEs, integral Providence, R.I. 02940, email: DLS®MATH.AMS.COM, equations, bifurcation), Numerical Mathematics (e.g., numer­ before May 6, 1992. Please type or print the following: ical linear algebra, boundary and finite element methods), Pure Mathematics (e.g., representation theory of groups), 1. Full name; and Classical Physics (e.g., Taylor and Benard problems). 2. Mailing address; The tentative list of invited speakers includes William 3. Telephone number and area code for office and home; F. Ames, Georgia Institute of Technology; Dieter Arm­ 4. email address if available; bruster, Arizona State University; George W. Bluman, 5. Anticipated arrival and departure dates; University of British Columbia; Alain Bossavit, Electricite 6. Your scientific background relevant to the topic of the de France; Fritz H. Busse, University of Bayreuth, Ger­ seminar; many; Pascal Chossat, University of Nice, France; Peter 7. Financial assistance requested (please estimate cost A. Clarkson, ; John David Crawford, of travel), indicate if support is not required, and if University of Pittsburgh; Gerhard Dangelmayr, University interested in attending even if support is not offered. of Ttibingen, Germany; Michael Dellnitz, University of Houston; Timothy J. Healey, Cornell University; Henry Participants who wish to apply for a grant-in-aid should Hermes, University of Colorado; Darryl D. Holm, Los so indicate; however, funds available for the seminar are very Alamos National Laboratories; Gerard Iooss, University of limited and individuals who can obtain support from other Nice, France; Edgar Knobloch, University of California, sources should do so. Graduate students who have completed Berkeley; P. S. Krishnaprasad, University of Maryland, at least one year of graduate school are encouraged to College Park; Jan Mandel, University of Colorado, Denver; participate.

JANUARY 1992, VOLUME 39, NUMBER 1 41 Joint Summer Research Conferences in the Mathematical Sciences Mount Holyoke College, South Hadley, Massachusetts, June 13 to July 24, 1992

The 1992 Joint Summer Research Conferences in the Math­ Please type or print the following: ematical Sciences will be held at Mount Holyoke College, 1. Title and dates of conference desired South Hadley, Massachusetts, from June 13 to July 24. It is 2. Full name anticipated that the series of conferences will be supported 3. Mailing address by grants from the National Science Foundation and other 4. Telephone number and area code for office, home and agencies. electronic-mail addresses, FAX number There will be nine conferences in nine different areas 5. A short paragraph describing your scientific back­ of mathematics. The topics and organizers for the confer­ ground relevant to the topic of the conference ences were selected by the AMS, Institute of Mathematical 6. Financial assistance requested; please estimate cost of Statistics (IMS), and the Society for Industrial and Applied travel Mathematics (SIAM) Committee on Joint Summer Research 7. Indicate if support is not required and if interested in Conferences in the Mathematical Sciences. The selections attending even if support is not offered. were based on suggestions made by the members of the The deadline for receipt of requests for information is committee and individuals submitting proposals. The com­ March 2, 1992. Requests to attend will be forwarded to the mittee considered it important that the conferences represent Organizing Committee for each conference for consideration diverse areas of mathematical activity, with emphasis on after the deadline of March 2. All applicants will receive areas currently especially active, and paid careful attention a formal invitation, Brochure of Information, notification to subjects in which there is important interdisciplinary of financial assistance, and a tentative scientific program activity at present. (if the Chairman has prepared one in advance; otherwise programs will be distributed at registration) from the AMS These conferences are intended to complement the So­ by April 15. Funds available for these conferences are ciety's program of annual Summer Institutes and Summer limited and individuals who can obtain support from other Seminars, which have a larger attendance and are sub­ sources should do so. The allocation of grant funds is stantially broader in scope. The conferences are research administered by the AMS office, and the logistical planning conferences and are not intended to provide an entree to a for the conferences is also done by the AMS. However, field in which a participant has not already worked. it is the responsibility of the Chairman of the Organizing It is expected that funding will be available for a limited Committee of each conference to determine the amount of number of participants in each conference. Others, in addition support participants will be awarded. This decision is not to those funded, will be welcome, within the limitations of made by the AMS. Women and members of minority groups the facilities of the campus. In the spring, a brochure of are encouraged to apply and participate in these conferences. itiformation will be mailed to all who are requesting to attend Any questions concerning the scientific portion of the the conferences. The brochure will include information on conference should be directed to the chair or any member of the Organizing Committee. room and board rates, the residence and dining hall facilities, The Joint Summer Research Conferences in the Mathe­ travel, local information, and a Residence Housing Form to matical Sciences are under the direction of the AMS-IMS­ use to request on-campus accommodations. Information on SIAM Committee on Joint Summer Research Conferences off-campus housing will also be included in the brochure. in the Mathematical Sciences. The following committee Participants will be responsible for making their own housing members chose the topics for the 1992 conferences: John A. and travel arrangements. Each participant will be required Bums, Fan R. K. Chung, Leonard Evens, Martin Golubit­ to pay nominal registration and social fees. sky, Anthony W. Knapp, Peter W. K. Li, Emanuel Parzen, Those interested in attending one of the conferences Stewart B. Priddy, Michael Shub and Gregg J. Zuckerman. should send the following information to the Summer Research Conference Coordinator, Meetings Department, American Mathematical Society, Post Office Box 6887, Prov­ N.B. Lectures begin on Sunday morning and run through Thursday. Check-in for housing begins on idence, RI 02940 or by email: [email protected] on Saturday. No lectures are held on Saturday. the Internet.

42 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY ••••••••••••••• mm••••••m •••••m•• • oommmm•••••••••••••••••omOOOOOOOOOOOmmmmm;- "lili! -·mmmmmmommomommmmmmmommmmmm~-~Oommooommm mmmmm--··------~ Joint Summer Research Conferences

Saturday, June 13 to Friday, June 19 Saturday, July 4 to Friday, July 10 Conformal field theory, topological field themy, and quan­ tum groups Commutative algebra: Syzygies, multiplicities and birational algebra MOSHE FLATO (University de Dijon), Co-Chair WILLIAM HEINZER (Purdue University), Co-Chair JAMES LEPOWSKY (Rutgers University), Co-Chair CRAIG HUNEKE (Purdue University), Co-Chair PAUL SALLY (University of Chicago), Co-Chair JUDITH D. SALLY (Northwestern University), Co-Chair Saturday, June 20 to Friday, June 26 Cohomology, representations and actions offinite groups Saturday, July 11 to Friday, July 17 JON F. CARLSON (University of Georgia), Chair Change-point problems Saturday, June 20 to Friday, June 26 EDWARD CARLSTEIN (University of North Carolina), Co-Chair Nielsen theory and dynamical systems HANS-GEORG MULLER (University of California, Davis), CHRISTOPHER McCORD (University of Cincinnati), Co-Chair Chair DAVID SIEGMUND (Stanford University), Co-Chair Saturday, June 27 to Friday, July 3 The Penrose transform and analytic cohomology Saturday, July 11 to Friday, July 17 in representation theory Control and identification ofpartial differential equations ROBERT J. BASTON (Oxford University, England) Co-Chair H. T. BANKS (University of Southern California), Co-Chair MICHAEL G. EASTWOOD (Adelaide University, Australia) Co-Chair K. ITO (University of Southern California), Co-Chair

Saturday, June 27 to Friday, July 3 Saturday, July 18 to Friday, July 24 Wavelets and applications CHARLES K. CHUI (Texas A & M University), Co-Chair Adaptive designs STEPHAN MALLAT (Courant Institute of Mathematical STEVE DURHAM (University of South Carolina), Co-chair Sciences, New York University), Co-Chair NANCY FLOURNOY (The American University), Co-chair

Proceedings of Symposia in Probabilistic Combinatoric& Applied Mathematics and Its Applications Bela Bollobas, Editor Vol. 44 Probabilistic Combinatorics W1d Its Applications y X reviews the classical results in the theory of random graphs and presents several of the important recent developments in probabilistic combinatorics, together with some applications.

Topics covered in the 7 papers include: • the theory of random graphs • • explicit constructions of random-like graphs • • discrete isoperimetric inequalities • • rapidly mixing Markov Chains • • fmite Fourier analysis •

All prices subject to change. Free shipment by surface: for air delivery. please add $6.50 per title. Prepayment required. Order from: American Mathematical Sociely. 1991 Mathematics Subject Classifications: 68, 60, 05; 52 P.O. Box 1571. Annex Station, Providence, RI 02901·1571, or call toll free 800-321- ISBN 0-8218-5500-X, 196 pp. (hardcover), December 1991 4AMS In tbe continental U.S. and Canada to charge witb VISA or MasterCard. Indiv. mem. $34, List $56, Inst. mem. $45 Please add 7% GST to all orders totalling over $40 being shipped to Canada. Your ordering code is PSAPM/44NA

JANUARY 1992, VOLUME 39, NUMBER 1 43 1992 Summer Research Institute Quadratic forms and division algebras: Connections with algebraic K-theory and algebraic geometry University of California, Santa Barbara, July 6-24

The fortieth Summer Research Institute sponsored by the During the afternoons the institute will have specialty American Mathematical Society will be devoted to Quadratic lectures. These lectures will be on current research in the forms and division algebras: Connections with algebraic K­ algebraic theory of quadratic forms, the theory of finite­ theory and algebraic geometry and will take place at the dimensional division algebras, and related topics. Since it is University of California, Santa Barbara. Members of the likely that some participants will not attend the institute for Organizing Committee are: Richard Elman, University of the full three-week period, one week will be scheduled with California, Los Angeles; Burton I. Fein, Oregon State quadratic forms emphasis and another with division algebra University; William Jacob (co-chair), University of Cali­ emphasis. However, it is planned to have these topics mixed fornia, Santa Barbara; T.-Y. Lam, University of California, as much as possible in order to encourage interaction. In Berkeley; Wayne Raskind, University of Arizona; Alex addition to the research lectures, small seminars will be Rosenberg (co-chair), University of California, Santa Bar­ organized. There is particular interest in encouraging the bara; David Saltman, University of Texas at Austin; and participation of advanced graduate students, and seminars Adrian Wadsworth, University of California, San Diego. will be organized to help these students absorb the content It is anticipated that the institute will be partially of the lectures. Faculty with advanced graduate students supported by a grant from the National Science Foundation. should write to William Jacob, Department of Mathematics, Proceedings of the institute will be published in the AMS University of California, Santa Barbara, Santa Barbara series Proceedings of Symposia in Pure Mathematics. CA 93106, regarding support for these students. Questions This topic was selected by the 1991 AMS Committee on regarding the scientific program should be directed to Summer Institutes and Special Symposia whose members William Jacob at the above address. at the time were: Lawrence Craig Evens, Nicholas Katz The institute will be held on the campus of the University (chair), Barbara Lee Keyfitz, Brian Parshall, Francois of California, Santa Barbara. Participants will be housed in Treves, and Edward Witten. university apartments which are considerably more comfort­ able than traditional dormitory housing. The lecture halls, During the 1980's the closely related subjects of the beach, restaurants, and grocery stores are all located within algebraic theory of quadratic forms and the theory of a 20-minute walk from the apartments. Downtown Santa finite-dimensional division algebras benefited greatly from Barbara is accessible by express bus service from the cam­ developments in algebraic K-theory and algebraic geometry. pus. Persons with severe mobility problems should contact The organizers of the institute are particularly interested in Professor Jacob at the above address as soon as possible stimulating further progress along these lines by having two since housing adjacent to the lecture halls is extremely special lecture series, one devoted to algebraic K-theory limited. All facilities will be accessible to the handicapped. and the other to algebraic geometry. In addition there will Information on housing, dining, travel, and the local be research lectures on the two principal themes; quadratic area will be sent to invited participants in the spring. Each forms and division algebras. participant will pay a registration fee and a social fee The Organizing Committee plans to invite six distin­ to cover the costs of social events scheduled during the guished lecturers, each to give a one-week series of lectures institute. either on Algebraic K-theory or Algebraic geometry and their Those interested in receiving an invitation to participate connections to the institute topics. Two of these lectures in the institute should send the following information to will be given each morning during the three-week dura­ Summer Institute Conference Coordinator, American Math­ tion. These lectures will focus on the bows and whys of ematical Society, Post Office Box 6887, Providence, RI these tools and should be accessible to advanced graduate 02940, prior to Aprill, 1992 or through electronic mail to students. The exact topics are not yet known and will be [email protected]. decided by the invited lecturers. Possible topics include: etale cohomology, K-theory of quadric hypersurfaces and Please type or print the following: twisted forms of linear algebraic groups, generalized class 1. Full name field theories, and Witt groups of schemes. A tentative list of 2. Mailing address speakers who have agreed to be principal lecturers includes 3. Telephone number and area code for office and home, J.-L. Colliot-Thelene, A. S. Merkurjev, A. A. Suslin, and R. FAX number, and electronic mail address Swan. 4. Which week or weeks you wish to attend

44 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Summer Research Institute

5. Your scientific background relevant to the institute Requests for invitations will be forwarded to the Orga­ topic nizing Committee for consideration up to the deadline of 6. Financial assistance requested Aprill. All applicants will receive formal invitations. Partic­ 7. Indicate if support is not required, and whether inter­ ipants receiving financial support will be notified beginning ested in attending even if support is not offered. in mid-May.

Advances in Soviet Mathematics

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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 in the continental U.S. and Canada to charge with VISA or MasterCard. Please add 7% GST to all orders totalling over $40 being shipped to Canada.

JANUARY 1992, VOLUME 39, NUMBER 1 45 Mathematical Sciences January 1992 Meetings and Conferences 19-22. NineteenthAnnualACMSIGPLAN­ SIGACT Symposium on the Principles of Programming (POPL), Albuquerque, NM. (Dec. 1991, p. 1333) 19-25. Modelltheorie, Oberwolfach, Federal Republic of Germany. (Jan. 1991, p. 51) 20-25. Theorems de Lefschetz, Marseille, France. (Dec. 1991, p. 1333) 26-February 1. Applied and Computational Convexity, Oberwolfach, Federal Republic of Germany. (Jan. 1991, p. 51) 27-29. Third ACM-SIAM Symposium on THIS SECTION contains announcements of meetings and conferences of interest to some Discrete Algorithms, Orlando, FL. (Feb. segment of the mathematical public, including ad hoc, local, or regional meetings, and 1991, p. 146) meetings or symposia devoted to specialized topics, as well as announcements of regularly scheduled meetings of national or international mathematical organizations. (Information on 27-31. Conference on Scientific Computing, meetings of the Society, and on meetings sponsored by the Society, will be found inside the Benin-City, Nigeria. (Nov. 1991, p. 1165) front cover.) 27-31. Theorie des Modeles, Marseille, AN ANNOUNCEMENT will be published in Notices if it contains a call for papers, and specifies France. (Dec. 1991, p. 1333) the place, date, subject (when applicable), and the speakers; a second full announcement will be published only if there are changes or necessary additional information. Once an 27-February 1. A ColloqueFranco-Sovietiqu announcement has appeared, the event will be briefly noted in each issue until it has been de Theorie des Modeles, C.I.R.M., Luminy, held and a reference will be given in parentheses to the month, year, and page of the issue in France. (Dec. 1991, p. 1333) which the complete information appeared. Asterisks(*) mark those announcements containing new or revised information. IN GENERAL, announcements of meetings and conferences held in North America carry only date, title of meeting, place of meeting, names of speakers (or sometimes a general statement on the program), deadlines for abstracts or contributed papers, and source of further information. Meetings held outside the North American area may carry more detailed information. In any case, if there is any application deadline with respect to participation in February 1992 the meeting, this fact should be noted. All communications on meetings and conferences 1-2. First Southern California Geometric in the mathematical sciences should be sent to the Editor of Notices, care of the American Analysis Seminar, University of California, Mathematical Society in Providence. Irvine. (Dec. 1991, p. 1333) DEADLINES for entries in this section are listed on the inside front cover of each issue. In order to allow participants to arrange their travel plans, organizers of meetings are urged to 2-8. Thermodynamische Materialtheorien, submit information for these listings early enough to allow them to appear in more than one Oberwolfach, Federal Republic of Germany. issue of Notices prior to the meeting in question. To achieve this, listings should be received (Jan. 1991, p. 51) in Providence SIX MONTHS prior to the scheduled date of the meeting. 3. Joint Meeting of the ICMS and the EFFECTIVE with the 1990 volume of Notices, the complete list of Mathematical Sciences Royal Society of Edinburgh, International Meetings and Conferences will be published only in the September issue. In all other issues, only meetings and conferences for the twelve-month period following the month of that issue Centre for Mathematical Sciences, Edinburgh, will appear. As new information is received for meetings and conferences that will occur later Scotland. (Oct. 1991, p. 1008) than the twelve-month period, it will be announced at the end of the listing in the next possible 3-7. Eighth International Conference on issue. That information will not be repeated until the date of the meeting or conference falls Data Engineering, Phoenix, AZ. (Jul./Aug. within the twelve-month period. 1991, p. 643) 3-7. Twenty-third Southeastern Interna­ tional Conference on Combinatorics, Graph 1991-1992. Mittag-Leffler Institute Aca­ Lille, France. (Jul./Aug. 1990, p. 746) Theory, and Computing, Florida Atlantic demic Program for 1991-1992·: Combi­ IMACS International Conference on Com­ University, Boca Raton, FL. (Nov. 1991, natorics, Djursholm, Sweden. (Apr. 1991, putational Physics, University of Colorado, p. 1166) p. 359) Boulder, CO. (Oct. 1990, p. 1141) 9-15. Numerical Methods for Parallel Com­ 1991-1992. 1991-1992 Special Year on Au­ Spring 1992. International Conference on puting, Oberwolfach, Federal Republic of tomorphic Forms in Number Theory, Centre Finite Elements and Boundary Elements Germany. (Jan. 1991, p. 51) de Recherches Mathematiques, Universite de in Geophysics, Monteray, CA. (Oct. 1990, 10-11. Workshop on Amenable Ergodic Montreal. (Dec. 1991, p. 1332) p. 1141) Theory, Mathematical Sciences Research In­ 1991-1992. DIMACS Special Year: Graph Spring 1992. Third IMACS International stitute (MSRI), Berkeley, CA. (May/Jun. Theory and Algorithms, Center for Discrete Conference on Expert Systems in Numer­ 1991, p. 475) Mathematics, Rutgers, The State University ical Computing, Purdue University, West ll-13. International Symposium on Al­ of New Jersey. (Oct. 1991, p. 1005) Lafayette, IN. (May/Jun. 1991, p. 475) gebraic Geometry and Related Topics, In­ Spring 1992. DIMACS Workshop on Ex­ cheon, Korea. (Dec. 1991, p. 1333) 1992 pander Graphs: Theory and Applications, 11-14. Tenth International Conference on Center for Discrete Mathematics, Rutgers, Computing Methods in Applied Sciences 1992. IMACS Symposium on Symbolic The State University of New Jersey, New and Engineering, Paris, France. (Dec. 1991, Computation in Engineering Design, IDN, Brunswick, NJ. (Oct. 1991, p. 1007) p. 1333)

46 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY ~--~~~~·--·-··~-~-·······--~-·-~-··~··--·tt~.i!A~--~~~~--~·~·-·· Meetings and Conferences

16-22. Funktiontheorie, Oberwolfach, Fed­ INFORMATION: W. Drady, American Math­ 29-April 5. Sixth International Conference eral Republic of Germany. (Jan. 1991, p. 51) ematical Society, P.O. Box 6887, Povi­ on Geometry, University of Haifa, Israel 17-22. Informatics '92, Havana, Cuba. (Sep. dence, RI 02940. (postponed from March 1991 because of the 1991, p. 836) Gulf War). (Jul./Aug. 1991, p. 644) 13-15. Permian Basin Supercomputing 30-31. IMA International Conference on 23-29. p-Adische Analysis und Anwen­ Conference 1992, University of Texas of Mathematics in Industrial Maintenance, Ed­ dungen, Oberwolfach, Federal Republic of the Permian Basin, Odessa, TX. (Dec. 1991, inburgh, Scotland. (Nov. 1991, p. 1167) Germany. (Jan. 1991, p. 51) p. 1334) 30-April 2. Thirty-fourth British Theoret­ 24-28. IEEE Computer Society COMP­ 14. Midwest Group Theory Seminar, Uni- * ical Mechanics Colloquium, University of CON Spring '92, San Francisco. CA. (Jan. versity of Chicago, IL. 1990, p. 62) Keele, England. (Sep. 1991, p. 836) 24-28. Elliptic Curves and Related Topics, PROGRAM: Four talks will be given, two 30-April 3. Workshop on Statistical Meth­ Sainte-Adele, Quebec, Canada. (Please note of these by M. Broue and R. Carter. ods in Molecular Biology, Mathematical Sci­ correction to Sep. 1991, p. 836) INFORMATION: J. Alperin, Univ. of Chi­ ences Research Institute, Berkeley, CA. (Sep. cago, Dept. of Math., 5734 University 1991, p. 836) 24-March I. IMA Workshop on Iterative Ave., Chicago, IL 60637; alperin@ Methods for Sparse and Structured Prob­ zaphod.uchicago.edu; 312-702-7393; 312- lems, University of Minnesota, Minneapolis, 324-6282. MN. (Jul./Aug. 1991, p. 643) April1992 * 25-28. International Symposium on Paral­ 15-21. Regelungstheorie, Oberwolfach, Fed­ lel Computing, Chemogolovka (near Moscow), eral Republic of Germany. (Jan. 1991, p. 52) April 1992. Eighth International Confer­ USSR. 19-22. 1991-1992 Annual Meeting of the ence on Mathematical and Computer Mod­ elling. United States. (Sep. 1990, p. 939) PROGRAM: The symposium is devoted to Association for Symbolic Logic, Duke Univ., numerical algorithms for parallel comput­ Durham, NC. (Dec. 1991, p. 1334) 2-4. Twenty-sixth Annual Spring Topology ing systems; applications of parallel com­ 20-21. Central Section, Southwest Missouri Conference, University of North Carolina, puting in science and technology; hard­ State University, Springfield, MO. Charlotte, NC. (Dec. 1991, p. 1334) 3-4. 1992 Illinois Number Theory Confer­ ware, languages and software tools for INFORMATION: W. Drady, American Math­ ence, University of Illinois, Urbana, IL. (Nov. supporting parallel processing; enabling ematical Society, P.O. Box 6887, Provi­ 1991, p. 1167) technologies. dence, RI 02940. CHAIRMEN: A.A. Samarskii, V.V. Aristov. 3-4. Sixteenth Annual Meeting of the B .N. Chetverushkin. 21-27. Workshop on Fluid Dynamics and Southeast-Atlantic Section of SIAM, Uni­ INFORMATION: J.P. Boglaev, lnst. of Mi­ Statistical Physics, Institute for Advanced versity of Alabama, Huntsville, AL. (Dec. croelectronics Tech., USSR Academy of Study, Princeton, NJ. (Dec. 1991, p. 1334) 1991, p. 1334) Sciences, 142432 Chemogolovka, Moscow 22-28. Teichmiiller-Theorie und Modul­ 3-5. Southeast Dynamical Systems Confer­ Distr., USSR; tel: 524-50-69; telefax: (7- raume Riemannscher Flachen, Oberwolfach, ence, Raleigh, NC. (Dec. 1991, p. 1335) 095) 292-65-11 box 001957 ERKO; telex: Federal Republic of Germany. (Jan. 1991, 5-11. Algebraische K-Theorie, Oberwol­ 411-700; email: [email protected]. p. 52) fach, Federal Republic of Germany. (Feb. 22-28. Georgia Tech.-UAB International 1991, p. 146) Conference on Differential Equations and 5-11. Informationstheorie, Oberwolfach, Mathematical Physics, Atlanta, GA. (Jul./Aug. March 1992 Federal Republic of Germany. (Jul./Aug. 1991, p. 644) 1991, p. 644) 1-7. Klassifizierende Raume und Anwen­ 23-27. Elliptic Boundary Value Problems, 6-8. Nineteenth Conference of the Standing dungen der Steenrod-Algebra, Oberwolfach, Rostock, Federal Republic of Germany. (Dec. Committee on Regional and Urban Statis­ Germany. (Jan. 1991, p. 52) 1991, p. 1334) tics, Prague, Czechoslovakia. (Dec. 1991, 2-6. Workshop on Interfaces between 23-April 10. Representation of Lie Groups p. 1335) Physics and Mathematics, University of Vi­ (Advanced Workshop), Trieste, Italy. (Dec. 6-10. IMA Workshop on Linear Algebra enna, Austria. (Nov. 1991, p. 1166) 1991, p. 1334) for Signal Processing, University of Min­ 3-5. ACM 1992 Computer Science Con­ 24-26. Data Compression Conference­ nesota, Minneapolis, MN. (Oct. 1990, p. 1141) ference, Kansas City, Missouri. nee '92, Snowbird, Utah. (Nov. 1991, 6-10. Forty-fourth British Mathematical (Jul./Aug. 1991, p. 644) p. 1167) Colloquium, University of Strathclyde, Glas­ 5-6. Twenty-third SIGCSE ('92) Technical 24-28. GAMM Annual Meeting, Leipzig, gow, Scotland, UK. (Nov. 1991, p. 1167) Symposium, Kansas City, MO. (Jul./Aug. Germany. (Sep. 1991, p. 836) 6-10. Second International Conference 1991, p. 644) 24-28. Algebraic Groups and Their Rep­ on p-Adic Functional Analysis, Universi­ 7-8. Fifteenth Annual Texas Partial Dif­ resentations, University of California, Los dad de Santiago, Santiago, Chile. (Dec. 1991, ferential Equations Conference, University Angeles. (Oct. 1991, p. 1008) p. 1335) of North Texas, Denton, TX. (Dec. 1991, 25-28. International Conference on Hamil­ 6-1 0. Complas lll Third International Con­ p. 1334) tonian Dynamical Systems, Univ. of Cincin­ ference on Computational Plasticity, Funda­ 8-14. Mathematische Stochastik, Oberwol­ nati, Cincinnati, OH. (Nov. 1991, p. 1167) mentals, and Applications, Barcelona, Spain. fach, Federal Republic of Germany. (Jan. 27-28. Eighth South-Eastern Analysis Meet­ (Dec. 1991, p. 1335) 1991, p. 52) ing (SEAM Vlll), University of Tennessee, 7-8. Tutorial on Polynomial Iterative Meth­ 9-11. Minisymposium on Dynamical Sys­ Knoxville, TN. (Sep. 1991, p. 836) ods, Denver, CO. (Dec. 1991, p. 1335) tems, Helsinki, Finland. (Dec. 1991, p. 1334) 29-April 4. Topologische Methoden in der 7-10. Twenty-third Annual Iranian Mathe­ 13-14. Southeastern Section, University of Gruppentheorie, Oberwolfach, Federal Re­ matics Conference, Razi University, Bakhta­ Alabama, Tuscaloosa, AL. public of Germany. (Jan. 1991, p. 52) ran, Iran. (Sep. 1991, p. 836)

JANUARY 1992, VOLUME 39, NUMBER 1 47 Meetings and Conferences

7-10. Statistics in Public Resources and 27-31. Titre a Preciser, Marseille, France. dydak @utkvx. utk.edu. Utilities, and in Care of the Environment (Dec. 1991, p. 1336) 17-23. Quadratische Formen, Oberwolfach, (SPRUCE), Lisbon, Portugal. (Nov. 1991, 30-May 1. Twenty-third Annual Pittsburgh Federal Republic of Germany. (Feb. 1991, p. 1167) Conference on Modeling and Simulation, p. 146) 9-11. Symplectic Topology, University of University of Pittsburgh, PA. (Jul./Aug. 1991, Arkansas, Fayetteville, Arkansas. (Sep. 1991, p. 644) 18-22. Eighth International Conference on p. 837) the Numerical Analysis of Semiconductor Devices and Integrated Circuits: NASEC­ 9-14. Copper Mountain Conference on ODE VIII, City Club, Vienna, Austria. (Nov. Iterative Methods, Copper Mountain, CO. May 1992 1991, p. 1168) (Dec. 1991, p. 1335) * 1. Mathematical Modeling in Biology, 18-22. Algebren en Theorie des Nombres, 10-12. Structure and Representation The­ SUNY at Stony Brook, NY. Marseille, France. (Dec. 1991, p. 1336) ory of Lie Algebras, Yale University, New 18-23. Second European Conference on Haven, CT. (Dec. 1991, p. 1335) PURPOSE: The purpose of the conference is to bring together researchers of diverse Computer Vision, Santa Margherita Ligure, 11-12. Eastern Section, Lehigh University, backgrounds to discuss issues of mutual Italy. (Jul./Aug. 1991, p. 645) Bethlehem, PA. concern at the interface of mathematics, 18-23. Low-Dimensional Topology, Knox­ INFORMATION: W. Drady, American biology, and medicine. ville, TN. (Oct. 1991, p. 1009) Mathematical Society, P.O. Box 6887, INVITED SPEAKER: Leon Glass, McGill 20-June 5. Workshop on Automorphic Providence, RI 02940. Univ.-"Chaos in heart from theory to Forms and L-functions, Institute for Ad­ experiment and maybe in the clinic". vanced Studies, Hebrew Univ. of Jerusalem, 12-16. Diophantine Approximation and ICirFORl\IATION: E. Beltrami, Dept. of Ap­ Israel. (Nov. 1991, p. 1168) Abelian Varieties, Soesterberg, The Nether­ plied Math. and Stat., SUNY at Stony * 21-22. Fourteenth Symposium on Mathe­ lands. (Dec. 1991, p. 1335) Brook, NY 11794-3600; 516-632-8367 or matical Programming with Data Perturba­ 516-632-8370; ebeltrarni@ ams.sunysb.edu. 12-18. Mathematische Logik, Oberwolfach, tions, George Washington University, Wash­ Federal Republic of Germany. (Feb. 1991, 1-5. Topology and its Connections to Geom­ ington, DC. p. 146) etry and Modular Representation Theory, PURPOSE: This symposium is designed 13-17. Workshop on Lie Groups, Ergodic Northwestern University, Evanston, IL. (Dec. to bring together practitioners who use Theory, and Geometry, Mathematical Sci­ 1991, p. 1336) mathematical programming optimization ences Research Institute (MSRI), Berkeley, May 1992. Conference on Classification models and deal with questions of sensi­ CA. (May/Jun. 1991, p. 476) of Algebraic Varieties, L' Aquila, Italy. (Apr. tivity analysis, with researchers who are 13-17. Titre a Preciser, Marseille, France. 1991, p. 366) developing techniques applicable to these (Dec. 1991, p. 1335) 3-9. Wavelett (Signalverarbeitung), Ober­ problems. CONFERENCE TOPICS: Sensitivity and 18. Sixth New England Statistics Sympo­ wolfach, Federal Republic of Germany. (Feb. stability analysis results and their ap­ sium, Bentley College, Waltham, MA. (Dec. 1991, p. 146) 1991, p. 1335) 3-14. Evolutionary Stochastic Systems: plications; solution methods for problems Theory and Applications to Physics and involving implicitly defined problem func­ 19-25. Arbeitsgemeinschaft mit Aktuellem tions; solution methods for problems in­ Thema, Oberwolfach, Federal Republic of Biology, Katsively, Crimea, Ukraine (USSR). (Dec. 1991, p. 1336) volving deterministic or stochastic pa­ Germany. (Feb. 1991, p. 146) rameter changes; solution approximation 4-6. 1992 ACM Symposium on the Theory 23-25. Workshop on Classifications of techniques and error analysis. Clinical pre­ * of Computing, Victoria, British Columbia, Higher Dimensional Manifolds, Knoxville, sentations that describe problems in sensi­ Canada. (Oct. 1991, p. 1009) TN. tivity or stability analysis encountered in 4-6. 1992 IEEE Symposium on Research applications are also invited. INVITED SPEAKERS: F.X. Connolly (Notre in Security and Privacy, Oakland, CA. (Nov. CALL FOR PAPERS: Abstracts (in trip­ Dame), F.T. Farrell (SUNY Binghamton), 1991, p. 1168) licate) should provide a good technical S.C. Ferry (SUNY Binghamton), K. Grove 10-16. Geschichte der Mathematik, Ober­ summary of key results, avoid the use of (Maryland), C.B. Hughes (Vanderbilt), wolfach, Federal Republic of Germany. (Feb. mathematical symbols and references, not L.E. Jones (Stony Brook), E. Pedersen 1991, p. 146) exceed 500 words, and include a title and (SUNY Binghamton), C.W. Stark (Flor­ 11-13. Fourth SIAM Conference on Opti­ the name and full mailing address of each dia), J.E. West (Cornell). mization, Chicago, IL. (Feb. 1991, p. 146) author. Deadline is March 9, 1992. INFORMATION: R. Daverman, Dept. of 11-15. IUTAM Symposium on Inverse INFORMATION: A.V. Fiacco, Organizer, Math., Univ. of Tennessee, Knoxville, TN Problems in Engineering Mechanics, Tokyo, Department of Operations Research and 37996-1300; email: daverman@utkvx (bit­ Japan. (Sep. 1991, p. 837) the Institute for Management Science and net); [email protected]. Engineering, School of Engineering and 11-15. Rencontre Franco-Russe de Geome~ Applied Science, The George Washington 26-28. Conference on Applied Statistics in trie, Marseille, France. (Dec. 1991, p. 1336) University, Washington, DC 20052; tel: Agriculture, Kansas State University, Man­ * 14-16. Workshop on Cohomological Di- 202-994-7511. hattan, KS. (Nov. 1991, p. 1167) mension Theory, Knoxville, TN. * 24-28. Eurocrypt '92-A Workshop on the 26-29. Scalable High Performance Com­ INVITED SPEAKERS: A. Dranishnikov Theory and Applications of Cryptographic puting Conference "SHPCC '92", Williams­ (Moscow), J.J. Walsh (Riverside), R.D. Techniques, Balatonfiired, Hungary. burg, VA. (Dec. 1991, p. 1335) Edwards (UCLA). 26-May 2. Gruppentheorie, Oberwolfach, INFORMATION: J. Dydak, Dept. of Math., CALL FOR PAPERS: Original papers are Federal Republic of Germany. (Feb. 1991, Univ. of Tennessee, Knoxville, TN 37996- solicited on all aspects of cryptography p. 146) 1300; email: dydak@utkvx (bitnet) or including symmetric and asymmetric ci-

48 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Meetings and Conferences

phers, authentication, cryptanalysis, pro­ INFORMATION: B. Neta, Dept. of Math., sium on Multi·Valued Logic, Sendai 980, tocols, secure transactions, signatures, se­ Code MA/Nd, Naval Postgraduate School, Japan. (Jan. 1990, p. 62) quences and linear complexity, hardware Monterey, CA 93943; email: 3859P@ 31-June 6. Singularitaten, Oberwolfach, and software topics, security of telecom­ navpgs.bitnet or I.M. Navon, Florida State Federal Republic of Germany. (Feb. 1991, munication systems and computer net­ Univ., Dept. of Math., Tallahassee, FL p. 147) works. Send 10 copies of an extended ab­ 32306. 31-June 6. Free Resolutions in Alge­ stract of at most 10 double-spaced pages braic Geometry and Representation Theory, to the Programme Chair (address below). *27-31. NSF-CBMS Conference on Weak Turbulence and Nonlinear Waves with Ap­ Oberwolfach, Federal Republic of Germany. Deadline is January 15, 1992. (Feb. 1991, p. 147) INFORMATION: Program Chair, R.A. Ruep­ plications in Oceanography and Geophysics, 31-June 14. Summer Workshop: Calcu­ pel, R3 Security Engineering, Bahnhofs­ Case Western Reserve University, Cleveland, lus, Computers, Concepts, and Cooperative trabe 242, CH-8623 Wetzikon, Switzer­ OH. Learning, Purdue University, West Lafayette, land; tel: +41-1-930 53 58; FAX: +41-1- PROGRAM: This 5 day conference will be IN. (Dec. 1991, p. 1336) 930 74 28; email: [email protected] built around ten lectures by V.E. Zakharov or General Chair, T. Nemetz, Math. lost. of of the Landau lost. of Theoretical Physics. the HAS, P.O. Box 127, H-1364 Budapest, Moscow and the Univ. of Arizona. A Hungary; tel: +36-1-117 71 75; FAX: +36- limited number of additional lectures by June 1992 1-117 71 66; email: [email protected]. experts in these fields is also planned. June 1992. IMACS Symposium on Numer­ 24-30. Kommutative Algebra und Alge­ ORGANIZING COMMITTEE: N. Fitzmau­ rice, D. Gurarie, F. McCaughan, and W.A. ical Computing and Mathematical Mod· braische Geometrie, Oberwolfach, Federal elling, Bangalore, India. (Oct. 1990, p. 1141) Republic of Germany. (Feb. 1991, p. 146) Woyczynski. CONFERENCE TOPICS: l ). Hamiltonian June 1992. Continuum Models for the Mi­ 25-28. NATO Advanced Research Work· formalism for nonlinear wave systems, crostructure of Crystals, International Centre shop: Asymptotic-Induced Numerical Meth­ Statistical description of weak turbulence, for Mathematical Sciences, Edinburgh, Scot­ ods for PDE's, Critical Parameters, and Do­ Derivation of the kinetic equation; 2). land. (Oct. 1991, p. 1009) main Decomposition, Beaune, France. (Sep. Kinetic equation in the decay case, Kol­ 1-5. Seventh International Conference on 1991, p. 837) mogorov and thermodynamic solutions, Graph Theory, Combinatorics, Algorithms, 25-29. Endoscopie Automorphe, Marseille, Applications to the acoustic turbulence and Applications, Western Michigan Univer­ France. (Dec. 1991, p. 1336) and the capillary wave turbulence; 3). Ki­ sity, Kalamazoo, MI. (May/Jun. 1991, p. 476) * 25-June 5. School on Dynamical Systems, netic equation in the non-decay case, The 1-5. IMA Workshop on Linear Algebra for International Centre for Theoretical Physics, weak turbulence theory of surface waves: Control Theory, University of Minnesota, Trieste, Italy. Kolmogorov spectra and stability; 4). Kol­ Minneapolis, MN. (Oct. 1990, p. 1141) mogorov spectra in a strongly anisotropic DIRECTORS: J. Palis Jr. (IMPA, Rio de l-5. Third International Conference on media, Rossby wave turbulence; 5). Weak Janeiro), Ya. Sinai (Landau lost. for The­ Mathematical Population Dynamics, Uni­ turbulence in non-Hamiltonian media, An­ oretical Physics, Moscow). Honorary Di­ versity of Pau, France. (Dec. 1991, p. 1336) gular dependence of wind-generated sur­ rector: J. Moser (ETH, Zurich). face wave spectrum. * l-5. Calcul Formel et Equations Differen- CALL FOR PAPERS: Deadline: January INFORMATION: Center for Stochastic and tielles, Marseille, France. 15, 1992. INFORMATION: International Centre for Chaotic Processes in Science and Tech­ CHAIRMAN: E. Tournier, Grenoble. nology, 220 Yost Bldg., Case Western Re­ Theoretical Physics, I.C.T.P., P.O. Box INFORMATION: CIRM, Luminy Case 916, 586, 34100 Trieste, Italy. serve Univ., University Circle, Cleveland, F-13288 Marseille Cedex 9. OH 44106; tel: 216-368-2880; FAX: 216- * 26-28. First Iranian Statistics Conference, 368-5163; email: [email protected]. * l-5. NSF-CBMS Regional Research Con­ Isfahan University of Technology, Isfahan, ferences in the Mathematical Sciences: Num­ Iran. 28-30. ICCI '92-Fourth International Con­ ber Theory and Dynamical Systems, Cali­ ference on Computing and Information, fornia State University, Fresno, CA. PROGRAM: The general theme for the Toronto, Canada. (Oct. 1991, p. 1009) ORGANIZER: R.M. Najar (209-278-2462). conference is probability and statistics. * 29-30. Midwest-Great Plains Workshop Plenary and technical sessions, a workshop in Commutative Algebra-IV, University of LECTURER: J. Lagarias. on statistical computing, and a seminar on Kansas, Lawrence, KS. INFORMATION: R.M. Najar, Dept. of statistical education are planned. Math., California State Univ., Fresno, CA ORGANIZING COMMITTEE: A. Haghany PROGRAM: This will be the fourth in this 93740-0108. (Chair), A. Rejali, M. Jamshidian, F. series of workshops in commutative alge­ Kherad Pazhuh, M. Zokaee, G.A. Raiesi, bra. There will be only a limited number 7-ll. International Joint Conference on A.Z. Hamadani, S. Pooladsaz, H.R. Marz­ of talks beside the main three talks. All Neural Networks "UCNN '92", Baltimore, ban. talks should be expository in nature and MD. (Dec. 1991, p. 1337) CALL FOR PAPERS: Deadline: March 21, be designed to stimulate research. 7-13. Computational Group Theory, Ober­ 1992. INVITED SPEAKERS: L.L. Avramov (Pur­ wolfach, Federal Republic of Germany. (Feb. INFORMATION: School of Mathematics, due Univ.), M. Pavaman Murthy (Univ. of 1991, p. 147) Isfahan University of Technology, Isfahan, Chicago), A. Suslin (Steklov lost.). 8-11. Sixth SIAM Conference on Discrete 84156, Iran; FAX: (09831) 36014. INFORMATION: F. Cukierman, D. Katz, Mathematics, University of British Columbia, and S. Mandai, Univ. of Kansas, Lawrence, Vancouver, Canada. (May/Jun. 1991, p. 476) * 27-31. IMACS International Conference KS 66045-2142; [email protected]; * 8-12. Serninaire Sud-Rhodanien de Geome­ on Finite Elements and Boundary Elements tel: 913-864-5180 or 913-864-3651. trie, Marseille, France. in Geosciences, Florida State University, Tal­ lahassee, FL. 29-31. Twenty-first International Sympo- CHAIRMAN: L. Niglio, Avignon.

JANUARY 1992, VOLUME 39, NUMBER 1 49 Meetings and Conferences

INFORMATION: CIRM, Luminy Case 916, 15-19. Twenty-first International Confer­ and assessing freshman math skills, coop­ F-13288 Marseille Cedex 9. ence on Stochastic Processes and their Ap­ erative learning, faculty mentoring/team plications, Toronto, Canada. (May/Jun. 1990, teaching, teaching styles and learning * 8-12. NSF Undergraduate Faculty En­ p. 613) styles, writing across the curriculum, writ­ hancement Workshop: Algorithmic Number 15-19. Fourth Conference on Formal ing to learn, critical thinking and non­ Theory, California State University, Fresno, Power Series and Algebraic Combinatorics, quantitative problem solving, measuring CA. Universite du Quebec a Montreal. (Sep. 1991, quality in higher education. ORGANIZER: R.M. Najar (209-278-2462). p. 837) CALL FOR PAPERS: Three types of pre­ sentations are requested: 20-minute dis­ LECTURER: E. Bach. 15-19. Sixth International Conference on INFORMATION: R.M. Najar, Dept. of Domain Decomposition Methods in Science cussions/demonstrations of classroom in­ novations, faculty development activities, Math., California State Univ., Fresno, CA and Engineering, Como, Italy. (Nov. 1991, and results of educational research; 90- 93740-0108. p. 1169) minute workshops focusing on class­ 8-13. Zero-dimensional Schemes, Ravello, * 15-19. Tire a Preciser, Marseille, France. room implementation; directed discus­ Italy. (Sep. 1991, p. 837) CHAIRMAN: M.-R. Donnadieu, Marseille. sions/brainstorming sessions centered on * 8-13. Continuum Models for the Mi- INFORMATION: CIRM, Luminy Case 916, specific problems in higher education. Fi­ crostructure of Crystals, Edinburgh, Scot­ F-13288 Marseille Cedex 9. nal papers for the conference proceedings land. must be submitted by May 1, 1992. 15-27. Nonequilibrium problems in many­ INFORMATION: S. Gallagher, Director, ORGANIZERS: J.M. Ball, Heriot-Watt; particle systems, Montecatini Terme, Italy. SUNY Training Center, 750 East Adams J.W. Christian, Oxford; R.D. James, Min­ (Dec. 1991, p. 1337) St., CWB 343, Syracuse, NY 13210; nesota; 0. Penrose, Heriot-Watt. * 16-18. 1992 IFAC/IFIP/IMACS Interna­ Voice: 315-464-4078; FAX: 315-464-7303; INFORMATION: Int. Centre for Mathemat­ tional Symposium on Artificial Intelligence email: psac@snybufva. ical Sciences, Heriot-Watt Univ., Riccar­ in Real-Time Control, Delph University of ton, Edinburgh, EH14 4AS, Scotland. 21-27. Porous Media, Oberwolfach, Federal Technology, Delph, The Netherlands. Republic of Germany. (Feb. 1991, p. 147) 8-19. Dirichlet Forms, Villa Monastero, PROGRAM: The scope of this symposium 21-July 10. Sunnner Geometry Institute, Varenna, Italy. (Dec. 1991, p. 1337) includes the use of artificial intelligence in Park City, Utah. (Nov. 1991, p. 1169) * 8-19. Workshop on Dynamical Systems, the design, implementation, testing, main­ 22-24. Seventh IMACS International Con­ International Centre for Theoretical Physics, tenance, supervision and monitoring of ference on Computer Methods for Partial Trieste, Italy. real-time control systems. The objective Differential Equations, Rutgers University, of the symposium is to bring together DIRECTORS: J. Palis Jr. (IMPA, Rio de New Brunswick, NJ. (Dec. 1991, p. 1337) control systems specialists, artificial in­ Janeiro), Ya. Sinai (Landau lnst. for The­ 22-25. Seventh Annual IEEE Symposium telligence specialists, and end-users. The oretical Physics, Moscow). Honorary Di­ on Logic in Computer Science, Santa Cruz, technical program will include plenary sur­ rector: J. Moser (ETH, Zurich). CA. (Sep. 1991, p. 838) vey papers, invited sessions and regular CALL FOR PAPERS: Deadline: January sessions. 22-25. Seventh Annual Conference on 15, 1992. INFORMATION: AIRTC 1992, Congress Structure in Complexity Theory, Boston INFORMATION: International Centre for Office KIVI, P.O. Box 30424, 2500 GK University, Boston, MA. (Nov. 1991, p. 1169) Theoretical Physics, I.C.T.P., P.O. Box The Hague, The Netherlands; FAX: (31) 22-26. Fifth International Meeting on 586, 34100 Trieste, Italy. 70 3919840. Statistical Climatology (SIMSC), Toronto, 10-16. Geometric Topology Workshop, Canada. (Nov. 1991, p. 1169) 17-20. Fourth International Conference Technion, Haifa, Israel. (Nov. 1991, p. 1168) 22-26. Twelfth Conference on Probability on Computers and Learning, ICCAL '92, 12-14. Canadian Mathematical Society and Statistics in the Atmospheric Sciences, Acadia University, Nova Scotia, Canada. (Feb. Toronto, Canada. (Nov. 1991, p. 1169) Summer Meeting, York University, North 1991, p. 147) York, Ontario, Canada. (Nov. 1990, p. 1289) 22-26. The Twelfth Dundee Conference * 18-20. Eighteenth International Workshop on Ordinary and Partial Differential Equa­ 12-20. D-moduli and Representation The­ on Graph-Theoretic Concepts in Computer tions, Dundee, Scotland. (Nov. 1991, p. 1170) ory, Ca' Foscari, Venezia, Italy. (Dec. 1991, Science "WG '92", Wiesbaden-Naurod, Fed­ p. 1337) * 22-26. International Conference on Spec­ eral Republic of Germany. tral and High Order Methods, Montpellier, 13-16. Conference in Geometric Group France. Theory, Ohio State University, Columbus, INFORMATION: E.W. Mayr, J.W. Goethe­ OH. (Nov. 1991, p. 1168) Univ. Theoretische lnformatik, Robert­ INFORMATION: C. Bernardi & Y. Maday, Mayer-Str. 11-15, W-6000 Frankfurt am ICOSAHOM '92, Analyse Numerique­ 14-20. Fifth International Symposium on Main, Germany. Statistical Decision Theory and Related Top­ Tour 55-65, 5eme etage, Univ. Pierre et ics, Purdue University, West Lafayette, IN. * 18-20. Problem Solving Across the Cur- Marie Curie, 4 place Jussieu, F-75252 (Sep. 1990, p. 938) riculum, Wells College, Aurora, NY. Paris Cedex 05. 14-20. Freiformkurven und Freiform­ PROGRAM: The conference offers oppor­ * 22-26. Convergences en Analyse Multi- flachen, Oberwolfach, Federal Republic of tunities to exchange ideas about teaching vogue et Optimisation, Marseille, France. German~ (Feb. 199l,p. 147) problem solving and critical thinking in CHAIRMAN: M. Thera, Limoges. 15-18. Wave Phenomena D: Modern The­ ALL curriculum areas. Presentations in ory and Applications, Edmonton, Alberta, INFORMATION: CIRM, Luminy Case 916, the following areas are suggested: mod" F-13288 Marseille Cedex 9. Canada. (Nov. 1991, p. 1169) eling the problem solving process, prob­ 15-18. Computer Vision and Pattern Recog­ lem solving heuristics, developing learn­ * 22-26. International Conference on Non­ nition, Champaign, IL. (Dec. 1991, p. 1337) ing skills in the core curriculum, teaching linear Evolution Problems, Rome, Italy.

50 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY --~~.~-·--w~~~.v.~~~--.-.~~~.. ~·---~-~·=·~~-·~-~-.-~~ ...... v.~.--.. ~"'-·-~~~'£%:ff~!,}~,~~~~~-j'~···"· · '""~,~~~.~~.~·-~···~~--~~-·-·M-·'"·-·-~~~~·~---~·-~ .... --.~ Meetings and Conferences

ORGANIZING COMMITTEE: L. Boccardo, CONFERENCE TOPICS: Operator algebras Montreal, Montreal, Canada. (Dec. 1991, P. Marcati, A. Tesei. and its applications. p. 1338) INVITED SPEAKERS: H. Amann, H. Beirao INVITED SPEAKERS: J. Bellissard (Tou­ * 13-31. Miniworkshop on Nonlinearity and Da Veiga, P. Benilan, A. Bensoussan, M. louse), J. Cuntz (Heidelberg), U. Haagerup Chaos, Trieste, Italy. Bertsch, G.-Q. Chen, C. Dafermos, E. Di (Odensee), G. Kasparov (Chernogolvka), Benedetto, P. Fife, A. Friedman, M.A. R. Longo (Rome), A. Ocneanu (Uni­ CHAIRMEN: H. Cerdeira, H.M. Jensen, Herrero, P. Hess, L. Hsiao, A.V. Ivanov, versity Park), S. Popa (Los Angeles), Trieste. R. Kersner, P.D. Lax, P.-L. Lions, T.-P. D. Voiculescu (Berkeley), A. Wassermann INFORMATION: Int. Centre for Theoret. Liu, H. Matano, F. Murat, D. Serre, S. (Cambridge), S. Woronowicz (Varsovie). Physics, P.O. Box 586, Miramare, Strada Spagnolo, Z.-P. Xin. INFORI\IATION: Algop 92, Lab. de Math. Costiera 11, 1-34100 Trieste. INFORMATION: G. Castellini or G. Sil­ Fondamentales, Aile 45-46/3eme etage, 15-17. Premieres J ournees Marocaines de veri, Istituto per le Applicazioni del Univ. P. et M. Curie, 4 place Jussieu, * Mathematiques Appliquees, Rabat, Maroc. Calcolo-CNR, V.le del Policlinico, 137, 75252 PARIS Cedex 05, France; email: 00161-Roma, FAX: 39(6) 4404306; tel: [email protected] or renault@ PURPOSE: To get together researchers 39(6)88470213-4. univ-orleans.fr. and users interested in multiple aspects of applied mathematics. 23-26. Homotopy Theory, Sorrento, Italy. 1-10. Stochastic Analysis Workshop of CALL FOR PAPERS: Deadline for ab­ (Jul./Aug. 1991, p. 645) Guadeloupe-Silivri, Pointe-a-Pitre, France. stracts: February 29. 1992. 23-27. Workshop on Computational Ge­ (Jul./Aug. 1991, p. 645) INFORMATION: N. Mikou, Univ. Mo­ ometry, Turin, Italy. (Dec. 1991, p. 1338) 5-11. Mathematische Modellierung und hammed V, Faculte des Sciences, Dept. de 28-July 4. Hyperbolic Systems of Conser­ Simulation Elektrischer Schaltungen, Ober­ Math. et Informatique. B.P. 1014, Rabat, vation Laws, Oberwolfach, Federal Republic wolfach, Germany. (Jul./Aug. 1991, p. 645) Maroc. of Germany. (Feb. 1991, p. 147) 5-August 1. NSF Regional Geometry Insti­ 29-30. International Conference on the tute: Computational Algebraic Geometry, 19-23. Sixth ACM International Confer­ Development of Mathematics from 1900 to Amherst College, Amherst, MA. (Oct. 1991, ence on Supercomputing, Washington, DC. 1950, Luxembourg. (Sep. 1991, p. 838) p. 1010) (Dec. 1991, p. 1338) 29-July 1. Joint Meeting with the London 6-10. European Congress of Mathematics, 19-24. SIAM Annual Meeting (SIAM's Mathematical Society, Cambridge, England. Paris, France. (May/Jun. 1991, p. 476) 40th Anniversary), Los Angeles, CA. (Feb. 1991, p. 147) 6-10. Mathematical Conferences in Perth, INFORMATION: H. Daly, American Math­ 19-25. Lower-Dimensional Theories and ematical Society, Post Office Box 6248, University of Western Australia. (Sep. 1991, p. 838) Domain Decomposition Methods in Me­ Providence, Rhode Island 02940. chanics, Oberwolfach, Federal Republic of 6-10. Eighteenth Australasian Conference Germany. (Feb. 1991, p. 147) 29-July 3. International Conference on on Combinatorial Mathematics and Com­ K-Theory, Strasbourg, France. (Dec. 1991, binatorial Computing, Perth, Western Aus­ 19-25. Applications of Nonstandard-Analy­ p. 1338) tralia. (Nov. 1991, p. 1170) sis to Analysis, Functional Analysis, and Probability Theory, Heinrich Fabri-Institut * 29-July 3. Workshop on Data Analysis and 6-10. Thirty-Sixth Annual Meeting of der Universitat Tiibingen, Blaubeuren (Ulm), Robustness, Ascona, Switzerland. the Australian Mathematical Society, Perth. Federal Republic of Germany. (Jul./Aug. Western Australia. (Nov. 1991, p. 1170) ORGANIZERS: S. Morgenthaler, Lausanne; 1991, p. 645) E. Ronchetti, Geneva; F. Hampel, Ziirich. 6-31. IMA Summer Program on Environ­ 19-31. SERC Numerical Analysis Sum­ INVITED SPEAKERS: A. Buja, J. Harti­ mental Studies: Mathematical, Computa­ mer School, Lancaster University, Lancaster, gan, P.J. Huber, J. Neider, E. Tufte, J.W. tional, and Statistical Analysis, Institute for England. (Dec. 1991, p. 1338) Tukey. Mathematics and its Applications, University CALL FOR PAPERS: Deadline: January of Minnesota. (Sep. 1991, p. 838) 20-24. The Fifth International Conference on Fibonacci Numbers and their Applica­ 31, 1992. 6-August 14. Summer Program in Math­ tions, University of St. Andrews, St. Andrews, INFORMATION: S. Morgenthaler, EPFL­ ematical Physiology, Mathematical Sciences Scotland. (May/Jun. 1991, p. 476) DMA, Ch-1015 Lausanne. Research Institute, Berkeley. CA. (Sep. 1991, p. 838) 20-24. Algorithms for Approximation, * 29-July 3. Greco Calcul Formel, Marseille, Cranfield Institute of Technology, Oxford. 11-18. St. Andrews Colloquium, University France. (Sep. 1991, p. 839) of St. Andrews, Scotland. (Jul./Aug. 1991, CHAIRMAN: A. Galligo, Nice. p. 645) 20-24. Second Symposium on Logical Foundations of Computer Science (SCFS INFORMATION: CIRM, Luminy Case 916, 12-17. International Colloquium on '92), Tver University, Tver, USSR. (Dec. F-13288 Marseille Cedex 9. Automata, Languages and Programming, 1991, p. 1339) 29-July 5. Nineteenth International Collo­ Vienna, Austria. (Jul./Aug. 1991, p. 645) 20-24. Titre a Preciser, Marseille, France. quium on "Group Theoretical Methods in 12-18. Arithmetic Algebraic Geometry, * Physics", Salamance. Spain. (May/Jun. 1991, Oberwolfach, Federal Republic of Germany. CHAIRMAN: J.-M. Lemaire, Nice. p. 476) (Feb. 1991, p. 147) INFORMATION: CIRM, Lurniny Case 916, * 13-17. Titre a Preciser, Marseille, France. F-13288 Marseille Cedex 9. CHAIRMAN: J.P. Bourguignon, Palaiseau. * 20-24. Summer School in the Model Theory July 1992 INFORMATION: CIRM, Luminy Case 916, of Fields-the Field of Real Numbers with F-13288 Marseille Cedex 9. Exponentiation, University of Crete, Greece. * 1-4. Algebres d'Operateurs 1992 (a satellite conference of the European Congress of 13-24. SMS-NATO ASI: Bifurcations and PROGRAM: The school will focus on the Mathematics), University of Orleans, France. Periodic Orbits of Vector Fields, Univ. de model completeness of the field of real

JANUARY 1992, VOLUME 39, NUMBER 1 51 Meetings and Conferences

numbers with exponentiation (a recent * 27-29. International Symposium on Sym­ ence Lobachevsky and Modern Geome­ result by A. Wilkie), related results and bolic and Algebraic Computation, Berkeley, try devoted to the 200th Anniversary of questions. There will be afternoon sessions CA. Lobachevsky's birthday, Kazan, USSR. (Feb. for contributed talks. Please inquire before 1991, p. 147) PROGRAM: Papers presenting original re­ March 31, 1992. search on all aspects of symbolic and August 1992. Kinetics of Phase Transi­ INFORMATION: T. Pheidas or J. Anto­ algebraic computation are sought. Typ­ tions, International Centre for Mathematical niadis, Dept. of Math., Univ. of Crete, ical, but not exclusive topics of inter­ Sciences, Edinburgh, Scotland. (Oct. 1991, lraklion, Crete, P.O. Box 1470, Greece, est include: combined symbolic/numeric p. 1010) tel: 081-232156; [email protected]. methods (special emphasis is placed on 2-8. Algebraische Zahlentheorie, Oberwol­ * 20-26. International Conference on Alge­ this subject); algorithms for problems in fach, Federal Republic of Germany. (Feb. braic Geometry, Universite Paris-Sud. (Please algebra, number theory, group theory, al­ 1991, p. 147) note additions to Apr. 1991, p. 363) gebraic geometry, differential algebra, and 3-7. Sixth Workshop on Lie-Admissible differential equations; languages and sys­ Formulations, Clearwater, FL. (Mar. 1991, INVITED SPEAKERS: F.A. Bogomolov, tems for symbolic computation, parallel p. 244) D. Eisenbud, B. Fulton, M. Green, J. symbolic computation; automatic theorem 3-7. Fifth International Meeting of Statis­ Harris, J. Kollar, R. Lazarsfeld, S. Mori, proving and programming; applications tics in the Basque Country, San Sebastin, C. Simpson, A. Tjurin, E. Viehweg, C. of symbolic computation to mathematics, Spain. (Jul./Aug. 1991, p. 646) Voisin. science, engineering and education. CALL FOR PAPERS: Authors are re­ 3-7. Second Meeting of the International *21-25. Rademacher Centenary Confer­ quested to send 15 copies of their paper Linear Algebra Society (ILAS), University ence, Pennsylvania State University, Univer­ by January 14, 1992 to: D. Lazard, LITP, of Lisbon, Portugal. (Sep. 1991, p. 839) sity Park, PA. Inst. Programmation, Univ. Paris VI Re­ * 3-8. Ninth Latin American Symposium PROGRAM: To celebrate the lOOth an­ search Ctr., P.O. Box 218, F-75230 Paris on Mathematical Logic, Bahia Blanca, Ar­ niversary of Hans Rademacher's birth, Cedex 05, France; or B. Trager, IBM gentina. T.J. Watson Research Ctr., P.O. Box 218, this conference will consider the impact PROGRAM COMMITTEE: X. Caicedo, R. of his work on Modular Functions, Addi­ Yorktown Heights, NY 10598. INFORMATION: R. Fateman, EECS Dept., Chuaqui, R. Cignoli, C. Di Prisco, I. tive Number Theory, and Dedek:ind Sums D'Ottaviano. and Analytic Number Theory. Several ex­ Comp. Sci. Div., 571 Evans Hall, Univ. INVITED SPEAKERS: R. Shore, D. Pigozzi, pository talks will be given in the general of California, Berkeley, CA 94720; email: J. Lipton, D. Mundici, J. Oikkonen, E. areas of Rademacher's work. fateman @cs. berkeley.edu; 51 0-642-1879; or E. Kaltofen, Dept. Comp. Sci., Rens­ Lopez-Escobar, J. Font, J.Y. Girard, S. ORGANIZING COMMITTEE: G. Andrews, Fajardo, M. Dickman. B. Berndt, D. Bressoud, M. Knopp, H. selaer Polytechnic Inst., Troy, NY 12180- CALL FOR PAPERS: Abstracts should be Wilf. 3590; email: [email protected]; 518- sent to address below by May 1, 1992. INVITED SPEAKERS: A.O.L. Atkin, E. 276-6907; or M. Sweed1er, ACSyAM, Math. Sciences Inst., 409 College Ave., INFORMATION: M. Abad, lnstituto de Bombieri, R. Bruggeman, J.-M. Des­ Matematica, Univ. Nacional del Sur, 8000 houillers, L. Ephrenpreis, R.J. Evans, F. Cornell Univ., Ithaca, NY 14853; email: Bahia Blanca, Argentina; email: imabad@ Garvan, D. Goldfeld, B. Gordon, D. Hick­ [email protected]; 607-255-4373. arcniba.edu.ar. erson, H. lwaniec, J. Lepowsky, H.L. * 27-31. Mathematical Physics of Disordered Montgomery, R. Murty, R.A. Rankin, A. Systems, Marseille, France. 3-28. IMA Summer Program for Graduate Selberg, J.-P. Serre, H. Stark, R. Vaughan. Students: Mathematical Modeling, Univer­ SUPPORT: Application has been made to CHAIRMAN: D. Petridis, Rennes. sity of Minnesota, Minneapolis, MN. (Dec. the NSF, NSA, and the IMA for the INFORMATION: CIRM, Luminy Case 916, 1991, p. 1339) F-13288 Marseille Cedex 9. underwriting of this conference. Graduate * 4-7. Chaos and its Applications, Trieste, students and recent postdocs are invited * 27-August 1. Workshop on Computational Italy. to apply to the organizing committee for in Algebraic and Related financial support to attend. Linear Algebra CHAIRMEN: H. Cerdeira, H.M. Jensen, Problems, Essen, Federal Republic of Ger­ INFORMATION: Organizing Committee, Trieste. many. Rademacher Centenary Conference, 329 INFORMATION: Int. Centre for Theoret. McAllister Bldg., Penn State Univ., Uni­ ORGANIZERS: G. Michler (Essen), H. Physics, P.O. Box 586, Miramare, Strada versity Park, PA 16802-6403; email: dvb@ Schneider (Madison, Wisconsin). Costiera II, 1-34100 Trieste. math.psu.edu. INFORMATION: G. Michler, lnstitut fur Experimentelle Mathematik, Univ. GH 9-15. Jordan-Algebren, Oberwolfach, Fed­ 26-31. Eighteenth International Sympo­ Essen, Ellernstr. 29, 4300 Essen 12 (Ger­ eral Republic of Germany. (Feb. 1991, p. 147) sium on Rarefied Gas Dynamics (RGD18), many), Telefon: (0201) 32064-40; Telefax: 9-16. 1992 ASL European Summer Meet­ University of British Columbia, Vancouver, (0201) 32064-25; email: mat4bb@de0hrzla. ing (Logic Colloquium '92), Budapest, Hun­ Canada. (May/Jun. 1991, p. 477) gary. (Dec. 1991, p. 1339) 30-August 1. The State of Matter: Confer­ 26-August 1. Variationsrechnung, Ober­ * 10-14. Kinetics of Phase Transitions, Edin- wolfach, Germany. (Feb. 1991, p. 147) ence on Mathematical Physics, Celebrating the Sixtieth Birthday of E.H. Lieb., Copen­ burgh, Scotland. 26-August 1. AMS-SIAM Summer Seminar hagen, Denmark. (Dec. 1991, p. 1339) ORGANIZERS: J.M. Ball and Penrose, on Exploiting Symmetry in Applied and Nu­ 0. Heriot-Watt; J.W. Christian, Oxford; R.D. merical Analysis, Colorado State University, James, Minnesota. Fort Collins, CO. August 1992 INFORMATION: Int. Centre for Math. Sci., INFORMATION: D.L. Salter, AMS, P.O. Heriot-Watt Univ., Riccarton, Edinburgh, Box 6887, Providence, RI 02940. August 1992. The International Confer- EH14 4AS, Scotland.

52 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY ----~-.-­ Meetings and Conferences

10-18. Canadian Mathematical Society An­ * 31-September 11. Arithmetic Algebraic Physics, P.O. Box 586, Miramare, Strada nual Seminar on Representations of Alge­ Geometry (Advanced Workshop), Trieste, Costiera 11, 1-34100 Trieste. bras and Related Topics, Carleton University, Italy. Ottawa, Canada. (Dec. 1991, p. 1339) 16-18. Second SIAM Conference on Con­ CHAIRMAN: A. Assadi, Trieste. trol in the 90s, Minneapolis, MN. (Feb. 1991, 13-17. First Colloquium on Numerical INFORMATION: Int. Centre for Theoret. p. 148) Analysis, Plovdiv, Bulgaria. (Oct. 1991, Physics, P.O. Box 586, Miramare, Strada p. 1011) * 16-20. IMACS/SICE International Sympo­ Costiera 11, 1-34100 Trieste. sium on Robotics, Mechatronics and Manu­ 16-22. Reelle Analysis, Oberwolfach, Ger­ facturing Systems, Kobe, Japan. many. (Jul./Aug. 1991, p. 646) PROGRAM: The aim of this symposium 17-21. The Sixth International Confer­ September 1992 is to provide a forum for the presentation ence on Boundary and Interior Layers­ September 1992. IMACS 2nd Interna­ and discussion of the recent advance of Computational and Asymptotic Methods tional Conference on System Simulation robotics, mechatronics and manufacturing (BAIL VI), Summit County, Colorado. (Nov. and Scientific Computing-BICSC '92, Bei­ systems. 1991, p. 1170) jing, China. (May/Jun. 1991, p. 477) INFORMATION: T. Takamori, Dept. of In­ 17-21. The Alan Day Conference on 6-12. Topologie, Oberwolfach, Federal Re­ strumentation Engineering, Kobe Univ., Lattices and Algebras, McMaster Univer­ public of Germany. (Feb. 1991, p. 148) Rokkodai 1-1, Nada, Kobe 657, Japan; sity, Hamilton, Ontario, Canada. (Nov. 1991, * 7-11. Reseaux, Marseille, France. tel: (078) 881-1212; FAX:(078) 861-8099 p. 1171) or S. Tzafestas, Intelligent Robotics and 17-23. Seventh International Congress on CHAIRMEN: E. Bayer, Besancon; J. Mar­ Control Unit, Computer Science Div., Mathematical Education (ICME-7), Uni­ tinet, Bordeaux. Nat'l Technical Univ. of Athens, Zo­ versite Laval, Quebec, Canada. (Sep. 1991, INFORMATION: CIRM, Luminy Case 916, grafou 15773, Athens, Greece; FAX: 30- p. 839) F-13288 Marseille Cedex 9. 1-7757504. 18-22. Third Colloquium on Differential *7-14. IMACS Conference on Innovative 17-19. International Conference on Group Equations, Plovdiv, Bulgaria. (Oct. 1991, MethodsinNumericalAnalysis, Padova Uni­ Theory, University of Timisoara, Romania. p. 1011) versity at Bressanone, Italy. (Jul./Aug. 1991, p. 646) 19-22. Sixth International Conference on INFORMATION: M. Morandi Cecci, Univ. 20-26. Funktionalgeichungen, Oberwol­ Representations of Algebras (ICRA VI), degli Studi di Padova, Dipt. de Math., Via fach, Federal Republic of Germany. (Feb. Carleton University, Ottawa, Canada. (Dec. Belzone 7, 35131 Padova, Italy; tel: 39 49 1991, p. 148) 1991, p. 1340) 831904; email: [email protected]. * 21-23. Seventh International Conference 19-26. World Congress of Nonlinear Ana­ on Multivariate Analysis in Memory of lysts, Melbourne, FL. (Nov. 1991, p. 1171) 8-11. IMA Tutorial: Introduction to Linear Ronald A. Fisher, Barcelona, Spain. Multivariable Control, Optimal Design, and 22-28. Eighteenth International Congress Parameter Estimation, Institute for Math­ INFORMATION: C.M. Cuadras, Univ. de of Theoretical and Applied Mechanics, ematics and its Applications, , Gran Via 585, E-08007 Barce­ Technion-Israel Institute of Technology, Haifa, Minnesota. (Sep. 1991, p. 839) lona. Israel. (Jan. 1991, p. 52) 9-11. Royal Statistical Society Full Confer­ 23-29. Mathematical Finance, Oberwolfach, * 21-23. Workshop on Algebraic Cycles, ence, , UK. (Nov. 1991, p. 1171) Federal Republic of Germany. (Feb. 1991, Mathematical Sciences Research Institute, p. 147) 13-19. 4-Dimensional Manifolds, Oberwol­ Berkeley, CA. fach, Federal Republic of Germany. (Feb. * 23-29. Web Geometry, Oberwolfach, Fed- 1991, p. 148) PROGRAM: This is the first workshop eral Republic of Germany. planned as part of MSRI's 1992-1993 * 13-19. DMV-Jahrestagung, Berlin, Federal program on Algebraic Geometry. CHAIRMEN: S.S. Chern, Berkeley; V.V. Republic of Germany. ORGANIZERS: A. Beilinson and W. Ful­ Goldberg, Newark; K. Strambach, Brian­ ORGANIZERS: M. Aigner, J. Winkler, ton. gen. Berlin. INFORMATION: I. Kaplansky, Director, INFORMATION: Mathematisches For­ INFORMATION: Mathematisches For­ Mathematical Sciences Research Institute, schungsinstitut Oberwolfach Geschiift­ schungsinstitut Oberwolfach Geschiift­ 1000 Centennial Dr., Berkeley, CA 94720. sstelle: Alberstrasse 24 D-7800 Freiburg sstelle: Alberstrasse 24 D-7800 Freiburg im Breisgau. im Breisgau. 21-25. IMA Workshop on Robust Control Theory, Institute for Mathematics and its 26-28. IMACS RM2S '92 Kobe, Kobe Uni­ 14-18. Twentieth European Meeting of Applications, University of Minnesota. (Sep. versity, Kobi, Japan. (May/Jun. 1991, p. 477) Statisticians, Bath, UK. (Nov. 1991, p. 1171) 1991, p. 839) 30-September 5. Komplexe Analysis, Ober­ * 14-18. Second Atelier International de 27-0ctober 3. DarstellungstheorieEndlicher wolfach, Federal Republic of Germany. (Feb. Theorie des Ensembles, Marseille, France. Gruppen, Oberwolfach, Federal Republic of 1991, p. 147) Germany. (Feb. 1991, p. 148) CHAIRMAN: P. Dehornoy, Caen. * 31-September 2. Fourth International Work­ INFORMATION: CIRM, Lurniny Case 916, shop on Generalized Convexity, Pees, Hun­ F-13288 Marseille Cedex 9. gary. October 1992 ORGANIZERS: S. Koml6si, Pees; T. Rap­ * 14-25. Algebra (Advanced Workshop), Tri- 4-10. Funktionalanalysis, Oberwolfach, Fed­ cslik, Budapest; S. Schnaible, Riverside. este, Italy. eral Republic of Germany. (Feb. 1991, p. 148) INFORMATION: S. Koml6si, Faculty of CHAIRMEN: A. Sirnis, N.V. Trung, Tri­ 11-17. Arbeitsgemeinschaft mit Aktuellem Economics, Janus Pannonius Univ., este. Thema, Oberwolfach, Federal Republic of Rlik6czi ut 80, H-7621 Pees. INFORMATION: Int. Centre for Theoret. Germany. (Feb. 1991, p. 148)

JANUARY 1992, VOLUME 39, NUMBER 1 53 Meetings and Conferences

12-16. IMA Workshop on Control Systems gineering and nonengineering areas; com­ planned as part of MSRI's 1992-1993 Design for Advanced Engineering Systems: puter aided control system design and its program on Algebraic Geometry. Complexity, Uncertainty, Information, and application. ORGANIZERS: J. Kollar and S. Mori. Organization, Institute for Mathematics and INFORMATION: Chen Zong Ji, Dept. of INFORMATION: I. Kaplansky, Mathemati­ its Applications, University of Minnesota. Control Eng., Beijing Univ. of Aeronau­ cal Sciences Research Institute, 1000 Cen­ (Sep. 1991, p. 840) tics and Astronautics, Beijing 100083, PR tennial Dr., Berkeley, CA 94720. * 12-16. Workshop on Visualization of Ge­ China; Telex: 222700 BUAA CN; Fax: 86-1-2015347. 16-20. International Congress on Numer­ ometric Structures, Mathematical Sciences ical Methods in Engineering and Applied Research Institute, Berkeley, CA. 22-30. Forty-sixth Conference and Con­ Sciences, University of Concepcion, Con­ PROGAM: The workshop will be devoted gress of the International Federation for cepcion, Chile. (Jul./Aug. 1991, p. 646) to providing a broad view of developments Information and Documentation, Madrid, 16-20. IMA Period of Concentration: Flow in the visualization of mathematics. Spain. (May/Jun. 1991, p. 477) Control, Institute for Mathematics and its ORGANIZER: A. Marden. 25-31. Stochastische Analysis, Oberwolfach, Applications, University of Minnesota. (Sep. INFORMATION: I. Kaplansky, Mathemati­ Federal Republic of Germany. (Feb. 1991, 1991, p. 840) cal Sciences Research Institute, 1000 Cen­ p. 148) * 23-27. Seminaire Sud-Rhodanien de Ge- tennial Dr., Berkeley, CA 94720. 30-November 1. Central Section, Right ometrie, Marseille, France. State University, Dayton, OH. * 12-16. International Conference on Poly­ CHAIRMAN: L. Niglio, Avignon. nomial Automorphisms and Related Topics, INFORMATION: W. Drady, American Math­ INFORMATION: CIRM, Luminy Case 916, CIRM, Luminy, France. ematical Society, P.O. Box 6887, Povi­ F-13288 Marseille Cedex 9. dence, RI 02940. INVITED SPEAKERS: S.S. Abhyankar 29-December 5. Theory of Large Devia­ (Purdue Univ.), K. Adjamagbo (Paris VI), tions, Oberwolfach, Federal Republic of Ger­ J. Alev (Paris VI), H. Bass (Columbia many. (Feb. 1991, p. 148) Univ.), L.A. Campbell (Aerospace Corp.), November 1992 B. Coomes (Univ. of Miami), C. Dean 1-6. The First Pan American Conference (Ann Arbor), L. Druzkowski (Jagiellonian on Pre-Columbia Mathematics, Astronomy, Univ.), H. Kraft (Basel), M. Kwiecin­ December 1992 and Modes of Thought, Univ. Francisco ski (Univ. de Province), W. Li (McGill * 2-4. Workshop on Curves, Abelian Vari­ Univ.), J.H. McKay (Oakland Univ.), G.H. Marroquin, Guatamala City and Tikal. (Dec. 1991, p. 1340) eties, and their Moduli, Mathematical Sci­ Meisters (Univ of Nebraska), A. Nowicki ences Research Institute, Berkeley, CA. (Copernicus Univ.), C. Olech (Warszawa), 1-7. Kombinatorik, Oberwolfach, Federal K. Rusek (Jagiellonian Univ.), Y. Stein Republic of Germany. (Feb. 1991, p. 148) PROGAM: This is the third workshop (Tel Aviv Univ.), S.S. Wang (Oakland * 2-6. Workshop on Symbolic Dynamics, planned as part of MSRI's 1992-1993 Univ.), T. Winiarski (Jagiellonian Univ.), Mathematical Sciences Research Institute, program on Algebraic Geometry. D. Wright (Washington Univ.). Berkeley, CA. ORGANIZERS: E. Arbarello, A. Beauville, INFORMATION: A. van den Essen, Dept. and J. Harris. PROGAM: This workshop is part of the of Math., Catholic Univ., Nijmegen, The INFORMATION: I. Kaplansky, Mathemati­ MSRI program on Symbolic Dynamics Netherlands; email: [email protected]. cal Sciences Research Institute, 1000 Cen­ taking place during the first half of 1992- tennial Dr., Berkeley, CA 94720. 16-19. Second SIAM Conference on Dy­ 1993. namical Systems, Salt Lake City, UT. (Jul./ ORGANIZING COMMITTEE: R. Adler 6-12. Theory and Numerical Methods for Aug. 1991, p. 646) (Chair), J. Franks, D. Lind, and S. Williams. Initial-Boundary Value Problems, Oberwol­ INFORMATION: I. Kaplansky, Mathemati­ fach, Federal Republic of Germany. (Feb. 18-24. Geometrie, Oberwolfach, Federal cal Sciences Research Institute, 1000 Cen­ 1991, p. 148) Republic of Germany. (Feb. 1991, p. 148) tennial Dr., Berkeley, CA 94720. 7-11. IMACS Symposium on Scientific 19-21. The Fourth Symposium on the Computing and Mathematical Modelling, 8-14. Numerische Integration, Oberwo1- Frontiers of Massively Parallel Computa­ Bangalore, India. (May/Jun. 1991, p. 477) tion, McLean, VA. (Dec. 1991, p. 1340) fach, Federal Republic of Germany. (Feb. 1991, p. 148) 13-19. Asymptotische Statistik, Oberwol­ * 19-23. Modeles Arch et Applications a Ia fach, Federal Republic of Germany. (Feb. 9-13. IMA Workshop on Control and Finance, Marseille, France. 1991, p. 148) Optimal Design of Distributed Parameter CHAIRMAN: B. Fichet, Marseille. Systems, Institute for Mathematics and its 27-31. Holiday Symposium on Lie Group INFORMATION: CIRM, Lurniny Case 916, Applications, University of Minnesota. (Nov. Representations and Combinatorics, New F-13288 Marseille Cedex 9. 1991, p. 1171) Mexico State University, Las Cruces, NM. (Sep. 1991, p. 840) * 20-23. Second Beijing International Con­ 14-16. The Third Biennial Conference of ference on System Simulation and Scientific the Allahabad Mathematical Society, Alla­ Computing-BICSC '92, Beijing, China. habad, India. (May/Jun. 1991, p. 477) 15-21. Komplexitatstheorie, Oberwolfach, 1993 CONFERENCE TOPICS: System simula­ Federal Republic of Germany. (Feb. 1991, 1992-1993. Mittag-Lemer Institute's Aca­ tion methodology and modeling; simu­ p. 148) lation software and simulation computer demic Program for 1992-1993: Special Prob­ * 16-18. Workshop on Higher Dimensional system; simulator; application of atificial lems in Mathematical Physics, Djursholm, Geometry, Mathematical Sciences Research intelligence and expert systems to sys­ Sweden. (Nov. 1991, p. 1171) Institute, Berkeley, CA. tem simulation; CAD/CAM/CAE/CIMS; *Spring 1993. IMACS Symposium on Math­ application of simulation technology to en- PROGAM: This is the second workshop ematical Modelling, Wiener Neustadt, Ger-

54 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Meetings and Conferences

many. (Please note date change from May/Jun. Republic of Germany. ematical rigor in computational results is 1991, p. 475) desirable. The conference will (I) provide CHAIRMEN: K.-H. Hoffman, Augsburg; J. an accessible forum for researchers in the * 1993. Second IMACS International Con­ Sprekels, Essen. field to exchange the most recent results ference on Computational Physics, Univ. of INFORMATION: Mathematisches For­ in interval computations; (2) further de­ Colorado, Boulder, CO. schungsinstitut Oberwolfach Geschiift­ lineate the role of interval computations sstelle: Alberstrasse 24 D-7800 Freiburg INFORMATION: K.E. Gustafson, Chair, in practical (applied and industrial) prob­ im Breisgau. IMACS, Computational Physics, Univ. lems, and to identify tasks which must be of Colorado, Boulder, CO 80309-0425; 25-29. IMA Workshop on Robotics, In­ completed to facilitate its optimal use in email: gustafs@ boulder.colorado.edu. stitute for Mathematics and its Applications, such settings; and (3) highlight the role of University of Minnesota, Minneapolis, MN. interval mathematics in more purely aca­ (Nov. 1991, p. 1171) demic pursuits, such as automatic theorem January 1993 * 31-February 6. Asymptotics and Adaptivity proving. Theory, software, computational results, etc. will be presented. 3-7. International Conference on Scientific in Computational Mechanics, Oberwolfach, Federal Republic of Germany. CONFERENCE TOPICS: Arithmetic; pro­ Computation and Differential Equations, gramming languages and general software Auckland, New Zealand. (May/Jun. 1991, CHAIRMEN: D. Braess, Bochum; P. Ciar­ tools; nonlinear systems of equations; non­ p. 477) let, Paris; E. Stein, Hannover. linear optimization; quadrature; ordinary * 3-9. Grundlagen der Geometrie, Oberwol- INFORMATION: Mathematisches For­ differential equations; partial differential fach, Federal Republic of Germany. schungsinstitut Oberwolfach Geschiift­ equations; sensitivity analysis; linear al­ CHAIRMAN: W. Benz, Hamburg. sstelle: Alberstrasse 24 D-7800 Freiburg gebra and linear operators; industrial and INFORMATION: Mathematisches For­ im Breisgau. scientific applications. schungsinstitut Oberwolfach Geschiift­ CALL FOR PAPERS: A one page abstract sstelle: Alberstrasse 24 D-7800 Freiburg should be sent to address below. im Breisgau. The following new announcements will not INFORMATION: Interval Methods Confer­ be repeated until the criteria in the last ence, c/o R. Baker Kearfott, Dept. of * 3-9. Extensions of Buildings and Geome­ paragraph in the box at the beginning of Math., Univ. of Southwestern Louisianna, tries, Oberwolfach, Federal Republic of Ger­ this section are met. U.S.L. Box 4-1010, Lafayette, LA 70504- many. 1010; 318-231-5270; 318-981-9744; email: [email protected]. CHAIRMEN: F. Buekenhout, Bruxelles; February 1993 A. Beutelspacher, Gieben; D.R. Hughes, * 28-March 6. Medical Statistics: Statistical London. * 7-13. Partielle Differentialgleichungen, Ober- Methods for Risk Assessment, Oberwolfach, INFORMATION: Mathematisches For­ wolfach, Federal Republic of Germany. Federal Republic of Germany. schungsinstitut Oberwolfach Geschiift­ sstelle: Alberstrasse 24 D-7800 Freiburg CHAIRMAN: M. Struwe. CHAIRMEN: M.P. Baur, Bonn; D.T. Bishop, im Breisgau. INFORMATION: Mathematisches For­ Manchester. schungsinstitut Oberwolfach Geschiift­ INFORMATION: Mathematisches For­ * 10-16. Computational Methods for Nonlin­ sstelle: Alberstrasse 24 D-7800 Freiburg schungsinstitut Oberwolfach Geschiift­ ear Phenomena, Oberwolfach, Federal Re­ im Breisgau. sstelle: Alberstrasse 24 D-7800 Freiburg public of Germany. im Breisgau. * 14-20. Applicable Algebra, Oberwolfach, CHAIRMEN: T. Kiipper, KOln; R. Seydel, Federal Republic of Germany. Ulm; H. Schwetlick, Halle; H. Troger, Wien. CHAIRMEN: T. Beth, Karlsruhe; B. Buch­ March 1993 INFORMATION: Mathematisches For­ berger, Linz; H. Liineburg, Kaiserslautem. schungsinstitut Oberwolfach Geschiift­ INFORMATION: Mathematisches For­ * 7-13. Mathematische Stochastik, Oberwol- sstelle: Alberstrasse 24 D-7800 Freiburg schungsinstitut Oberwolfach Geschiift­ fach, Federal Republic of Germany. sstelle: Alberstrasse 24 D-7800 Freiburg im Breisgau. CHAIRMEN: J. Steinebach, Marburg; P. im Breisgau. Deheuvels, Bourg-la-Reine; A. Irle, Kiel. 13-16. Joint Mathematics Meetings, San INFORMATION: Mathematisches For­ Antonio, TX. (including the annual meetings * 21-27. Curves, Images, Massive Computa­ schungsinstitut Oberwolfach Geschiift­ of the AMS, AWM, MAA, and NAM) tion, Oberwolfach, Federal Republic of Ger­ many. sstelle: Alberstrasse 24 D-7800 Freiburg INFORMATION: H. Daly, AMS, P.O. Box im Breisgau. 6887, Providence, RI 02940. CHAIRMEN: L. Devroye, Montreal; W. Hiirdle, Louvain; I. Johnstone, Stanford. * 14-20. Gewohnliche Differentialgleichun­ * 17-23. Combinatorial Optimization, Ober- INFORMATION: Mathematisches For­ gen, Oberwolfach, Federal Republic of Ger­ wo1fach, Federal Republic of Germany. schungsinstitut Oberwolfach Geschiift­ many. sstelle: Alberstrasse 24 D-7800 Freiburg CHAIRMEN: M. Grotschel, Augsburg; W.R. CHAIRMEN: H.-W. Knobloch, Wiirzburg; im Breisgau. Pulleyblank, Yorktown Heights. J. Mawhin, Louvain-la-Neuve; K. Schmitt, INFORMATION: Mathematisches For­ * 25-March 1. A Conference on Numerical Salt Lake City. schungsinstitut Oberwolfach Geschiift­ Analysis with Automatic Result Verification, INFORMATION: Mathematisches For­ sstelle: Alberstrasse 24 D-7800 Freiburg Lafayette, LA. schungsinstitut Oberwolfach Geschiift­ im Breisgau. sstelle: Alberstrasse 24 D-7800 Freiburg PROGAM: Interval analysis is applica­ im Breisgau. * 24-30. Optimale Steuerung Partieller Dif­ ble in scientific computations in which ferentialgleichungen, Oberwolfach, Federal reliability, automatic verification, or math- * 21-27. Analysis auf Lokalsymmetrischen

JANUARY 1992, VOLUME 39, NUMBER 1 55 Meetings and Conferences

Riiumen, · Oberwolfach, Federal Republic of neapolis, MN. (Nov. 1991, p. 1172) INFORMATION: Mathematisches For­ Germany. * 25-May 1. Low Dimensional Dynamics, schungsinstitut Oberwolfach Geschiift­ Oberwolfach, Federal Republic of Germany. sstelle: Alberstrasse 24 D-7800 Freiburg CHAIRMEN: J. Briining, Augsburg; W. im Breisgau. Miiller, Berlin. CHAIRMEN: G. Keller, Erlangen; Z. Ni­ INFORMATION: Mathematisches For­ tecki, Medford. schungsinstitut Oberwolfach Geschaft­ INFORMATION: Mathematisches For­ sstelle: Alberstrasse 24 D-7800 Freiburg schungsinstitut Oberwolfach Geschiift­ im Breisgau. sstelle: Alberstrasse 24 D-7800 Freiburg June 1993 im Breisgau. * 28-April 3. Combinatorial Convexity and *June 1993. Fourth IMACS International Algebraic Geometry, Oberwolfach, Federal Symposium on Computational Acoustics, Republic of Germany. Cambridge, England. May 1993 CHAIRMEN: G. Ewald, Bochum; P. Mc­ PROGRAM: This symposium provides a Mullen, London; P. Stanley, Cambridge. * 9-15. Reelle Algebraische Geometrie, Ober- forum for active researchers to discuss the INFORMATION: Mathematisches For­ wolfach, Federal Republic of Germany. state-of-the-art developments in computa­ schungsinstitut Oberwolfach Geschaft­ CHAIRMEN: E. Becker, Dortmund; L. tional acoustics covering aero-, seismo-, sstelle: Alberstrasse 24 D-7800 Freiburg Brocker, Miinster; M. Knebusch, Regens­ and ocean-acousitcs. im Breisgau. burg. INFORMATION: D. Lee, Code 3122, Naval INFORMATION: Mathematisches For­ Underwater Systems Center, New London, schungsinstitut Oberwolfach Geschiift­ CT 06320. April1993 sstelle: Alberstrasse 24 D-7800 Freiburg im Breisgau. * 6-12. Analysis auf Kompakten Varietiiten, * 4-10. Topics in Pseudo-Differential Op­ Oberwolfach, Federal Republic of Germany. * 10-12. IMACS Symposium on Signal Pro­ erators, Oberwolfach, Federal Republic of CHAIRMEN: T. Petemell, Bayreuth; Y.-T. Germany. cessing and Neural Networks-SPANN '93, Siu, Cambridge. Universite du Quebec at Montreal, Canada. INFORMATION: CHAIRMEN: H.O. Cordes, Berkeley; B. Mathematisches For­ Gramsch, Mainz; B.-W. Schulze, Berlin; PROGRAM: The symposium is aimed at schungsinstitut Oberwolfach Geschiift­ H. Widom, Santa Cruz. the presentation of recent developments sstelle: Alberstrasse 24 D-7800 Freiburg INFORMATION: Mathematisches For­ in signal processing and neural networks, im Breisgau. schungsinstitut Oberwolfach Geschiift­ theoretical and applied, and to provide a forum for the exchange of ideas between * 13-19. Differential-Algebraic Equations: sstelle: Alberstrasse 24 D-7800 Freiburg Theory and Applications in Technical Sim­ im Breisgau. these two domains. CALL FOR PAPERS: Extended abstract (4 ulation, Oberwolfach, Federal Republic of * 11-17. Arbeitsgemeinschaft mit Aktuellem copies, 3 pages): February 28, 1992. Germany. Thema, Oberwolfach, Federal Republic of INFORMATION: Z. Jacyno, Chair ofiMACS CHAIRMEN: H.G. Bock, Augsburg; P. Germany. SPANN '93, Dept. of Physics, Univ. of Rentrop, Miinchen; W.C. Rheinboldt, Pitts­ Quebec at Montreal, P.O. Box 8888, Sta­ INFORMATION: Mathematisches For­ burgh. tion A, Montreal, PQ, Canada H3C 3P8. schungsinstitut Oberwolfach Geschiift­ INFORMATION: Mathematisches For­ schungsinstitut Oberwolfach Geschiift­ sstelle: Alberstrasse 24 D-7800 Freiburg * 16-22. Mathematical Problems in Vis, im Breisgau. sstelle: Alberstrasse 24 D-7800 Freiburg coelastic Flows, Oberwolfach, Federal Re­ im Breisgau. public of Germany. * 18-24. The Arithmetik of Fields, Oberwo1- .fach, Federal Republic of Germany. CHAIRMEN: J.A. Nobel, Madison; M. * 15-18. Third IMACS International Work­ Renardy, Blacksburg. shop on Qualitative Reasoning and Decision CHAIRMEN: W.-D. Geyer, Erlangen; M. INFORMATION: Mathematisches For­ Technologies-QR&DT-3, Polytechnique of Jarden, Tel Aviv. schungsinstitut Oberwolfach Geschaft­ Barcelona, Spain. INFORMATION: Mathematisches For­ sstelle: Alberstrasse 24 D-7800 Freiburg schungsinstitut Oberwolfach Geschiift­ PROGRAM: This is the third in a series im Breisgau. sstelle: Alberstrasse 24 D-7800 Freiburg of conferences which aims to bring to­ im Breisgau. gether the recent advances in the fields of * 23-29. Differentialgeometrie im Grossen, decision support systems and qualitative Oberwolfach, Federal Republic of Germany. * 18-24. Mathematische Grundlagen und reasoning. Numerische Verfahren bei Transsonischen CHAIRMEN: W. Ballmann, Bonn; J.P. INFORMATION: N. Piera, Univ. Politec­ Striimungen, Oberwolfach, Federal Republic Bourguignon, Palaiseau; W. Ziller, Philadel­ nica de Catalunya, Dept. de Matematica of Germany. phia. Aplicada II, c/. Pau Gargallo, 6, E-08028 INFORMATION: Mathematisches For­ Barcelona, Spain. CHAIRMEN: C.S. Morawetz, NY; J. Necas, schungsinstitut Oberwolfach Geschiift­ Prague; W. Wendland, Stuttgart. sstelle: Alberstrasse 24 D-7800 Freiburg * 20-26. Konvexgeometrie, Oberwolfach, Fed- INFORMATION: Mathematisches For­ im Breisgau. eral Republic of Germany. schungsinstitut Oberwolfach Geschiift­ sstelle: Alberstrasse 24 D-7800 Freiburg CHAIRMEN: R. Schneider, Freiburg; J.M. * 30-June 5. Funktionalanalysis und Nichtlin­ Wills, Siegen. im Breisgau. eare Partielle Differentialgleichungen, Ober­ INFORMATION: Mathematisches For­ wolfach, Federal Republic of Germany. 19-20. IMA Minisymposium on Fuzzy schungsinstitut Oberwolfach Geschaft­ Control, Institute for Mathematics and its CHAIRMEN: H. Amann, Ziirich; P. Hess, sstelle: Alberstrasse 24 D-7800 Freiburg Applications, University of Minnesota, Min- Ziirich. im Breisgau.

56 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Meetings and Conferences

* 27-July 3. Algebraische K-Theorie, Ober- CHAIRMEN: W. Liebert, Miinchen; R. * 12-18. Topologie, Oberwolfach, Federal Re- wolfach, Federal Republic of Germany. Gobel, Essen; P. Hill, Auburn. public of Germany. INFORMATION: Mathematisches For­ CHAIRMEN: R.K. Dennis, Ithaca; U. Reh­ CHAIRMEN: J. Jones, Coventry; I. Mad­ schungsinstitut Oberwolfach Geschiift­ mann, Bielefeld. sen, Aarhus; E. Vogt, Berlin. sstelle: Alberstrasse 24 D-7800 Freiburg INFORMATION: Mathematisches For­ INFORMATION: Mathematisches For­ im Breisgau. schungsinstitut Oberwolfach Geschaft­ schungsinstitut Oberwolfach Geschiift­ sstelle: Alberstrasse 24 D-7800 Freiburg * 1-14. Groups 93 Galway/St. Andrews, Gal­ sstelle: Alberstrasse 24 D-7800 Freiburg im Breisgau. way, Ireland. im Breisgau. INFORMATION: Email: groups93@ st-andrews.ac., UK. July 1993 * 19-25. Mathematical Game Theory, Ober- * 8-14. Konstruktive Approximationstheo­ wolfach, Federal Republic of Germany. 4-10. Freie Randwertprobleme, Oberwol- rie, Oberwolfach, Federal Republic of Ger­ * CHAIRMEN: J. Rosenmiiller, Bielefeld; fach, Federal Republic of Germany. many. W.F. Lucas, Claremont; D. Schmeidler, CHAIRMEN: H.W. Alt, Bonn; A. Fried­ CHAIRMEN: C. de Boor, Madison; R. Tel Aviv. man, Minneapolis. Devore, Columbia. INFORMATION: Mathematisches For­ INFORMATION: Mathematisches For­ INFORMATION: Mathematisches For­ schungsinstitut Oberwolfach Geschiift­ schungsinstitut Oberwolfach Geschiift­ schungsinstitut Oberwolfach Geschiift­ sstelle: Alberstrasse 24 D-7800 Freiburg sstelle: Alberstrasse 24 D-7800 Freiburg sstelle: A1berstrasse 24 D-7800 Freiburg im Breisgau. im Breisgau. im Breisgau. * 11-17. Nonlinear Evolution Equations, So­ * 15-21. Noncommutative Algebra and Rep­ lutions and the Inverse Scattering Trans­ resentation Theory, Oberwolfach, Federal * 26--0ctober 2. Diophantische Approxima­ form, Oberwolfach, Federal Republic of Ger­ Republic of Germany. tionen, Oberwolfach, Federal Republic of many. CHAIRMEN: G. Michler, Essen; L.W. Germany. CHAIRMEN: M. Ablowitz, Boulder; B. Small, San Diego. CHAIRMAN: P. Bundschuh, KOln; R. Ti­ Fuchssteiner, Paderborn; M. Kruskal, INFORMATION: Mathematisches For­ jdeman, Leiden; M. Waldschmidt, Paris. Princeton; V. Matveev, Leningrad. schungsinstitut Oberwolfach Geschiift­ INFORMATION: Mathematisches For­ INFORMATION: Mathematisches For­ sstelle: Alberstrasse 24 D-7800 Freiburg schungsinstitut Oberwolfach Geschiift­ schungsinstitut Oberwolfach Geschiift­ im Breisgau. sstelle: Alberstrasse 24 D-7800 Freiburg sstelle: Alberstrasse 24 D-7800 Freiburg im Breisgau. im Breisgau. * 22-28. Special Complex Varieties, Oberwol- fach, Federal Republic of Germany. 18-24. DYoamische Systeme, Oberwo1fach, * CHAIRMEN: W. Barth, Erlangen; A. Van Federal Republic of Germany. de Ven, Leiden. CHAIRMEN: J. Moser, Ziirich; E. Zehnder, INFORMATION: Mathematisches For­ October 1993 Ziirich. schungsinstitut Oberwolfach Geschiift­ 3-9. Arbeitsgemeinschaft mit Aktuellem INFORMATION: Mathematisches For­ sstelle: Alberstrasse 24 D-7800 Freiburg * Thema, Oberwolfach, Federal Republic of schungsinstitut Oberwolfach Geschiift­ im Breisgau. sstelle: Alberstrasse 24 D-7800 Freiburg Germany. im Breisgau. * 29-September 4. Random Graphs and Com­ INFORMATION: Mathematisches For­ binatorial Structures, Oberwolfach, Federal schungsinstitut Oberwolfach Geschiift­ * 21-25. Twenty-Second Conference on Republic of Germany. sstelle: Alberstrasse 24 D-7800 Freiburg Stochastic Processes and Their Applica­ CHAIRMEN: A. Barbour, Ziirich; B. Bol­ im Breisgau. tions, Amsterdam, The Netherlands. lobas, Cambridge. INFORMATION: SPA '93, c/o CWI, P.O. INFORMATION: Mathematisches For­ Box 4079, NL-1009 AB Amsterdam. schungsinstitut Oberwolfach Geschiift­ sstelle: A1berstrasse 24 D-7800 Freiburg * 17-23. Geometrie, Oberwolfach. Federal * 25-31. Geometric Methods in Theoretical im Breisgau. Republic of Germany. and Computational Mechanics, Oberwol­ fach, Federal Republic of Germany. CHAIRMEN: V. Bangert, Freiburg; U. Pinkall, Berlin. CHAIRMEN: K. Kirchgiissner, Stuttgart; September 1993 INFORMATION: Mathematisches For­ J.E. Marsden, Berkeley. schungsinstitut Oberwolfach Geschiift­ INFORMATION: Mathematisches For­ * 5-11. Novikov Conjectures, Index The­ sstelle: Alberstrasse 24 D-7800 Freiburg schungsinstitut Oberwolfach Geschiift­ orems and Rigidity, Oberwolfach, Federal im Breisgau. sstelle: Alberstrasse 24 D-7800 Freiburg Republic of Germany. im Breisgau. CHAIRMEN: S.C. Ferry, Binghamton; A. Ranicki, Edinburgh; J.M. Rosenberg, Col­ lege Park. August 1994 August 1993 INFORMATION: Mathematisches For­ schungsinstitut Oberwolfach Geschiift­ 3-11. The International Congress of Math­ * 1-7. Abelsche Gruppen, Oberwolfach, Fed­ sstelle: Alberstrasse 24 D-7800 Freiburg ematicans 1994, Ziirich, Switzerland. (Mar. eral Republic of Germany. im Breisgau. 1991, p. 244)

JANUARY 1992, VOLUME 39, NUMBER 1 57 New AMS Publications

who has been on the faculty at Indiana University since 1968, COLLECTED PAPERS has made many important contributions to modern abstract algebra. His introduction and investigation of what have come to OFSALOMONBOCHNER be known as Azumaya algebras subsequently stimulated much Robert C. Gunning, Editor research on such rings and algebras, as well as applications to (Collected Works, Volume 2) geometry and number theory. In addition to honoring Professor Azumaya's contributions, the conference was intended to During his long and productive career, Salomon Bochner stimulate interaction among three areas of his research interests: worked in a variety of different areas of mathematics. These Azumaya algebras, group and Hopf algebra actions, and module volumes bring together his collected papers, illustrating the range theory. Aimed at researchers in algebra, this volume contains and depth of his mathematical interests. The papers are grouped contributions by some of the leaders in these areas. into eleven different categories: almost periodic functions, Fourier analysis, real analysis (topics in real analysis that do not fit into Contents the first two categories), complex analysis (general and special M. Artin, Geometry of quantum planes; G. Azumaya, Locally analytic functions of one complex variable), several complex pure-projective modules; M. Beattie, On the Blattner-Montgomery duality variables, differential geometry, Lie groups, differential equations theorem for Hopf algebras; W. Chin, Actions of solvable algebraic groups (both ordinary and partial), probability, history, and miscellaneous on noncommutative rings; F. R. DeMeyer and T. J. Ford, Nontrivial, (including a few papers that did not fit naturally elsewhere and a locally trivial Azumaya algebras; K. R. Fuller, The Cartan determinant few obituary articles). and global dimension of Artinian rings; J. Haefner and L. Klingler, Contents Integral representations of finite groups with finite representation type; T. Y. Lam and A. Leroy, Homomorphisms between Ore extensions; C. Section A: Fourier Analysis; Section B: Real Analysis; Section C: Lanski, Differential identities of prime rings, Kharchenko's theorem, and Almost periodic functions; Section D: Probability; Section E: Complex applications; S. Montgomery, Hopf Galois extensions; I. M. Musson, analysis; Section F: Functions of several complex variables; Section Enveloping algebras of Lie superalgebras: A survey; B. L. Osofsky, G: Differential geometry; Section H: Differential equations; Section 1: Constructing nonstandard uniserial modules over valuation domains; J. Lie groups; Section J: Miscellaneous mathematical papers; Section K: Osterburg and D. S. Passman, What makes a skew group ring prime?; History. L. H. Rowen, Wedderburn's method and algebraic elements of simple 1991 Mathematics Subject Classifications: 01 A75, OOB60 Artinian rings; D. J. Saltman, Finite dimensional division algebras; R. ISBN (Se~ 0-8218-0161-9; ISBN (Part1) 0-8218-0174-0; ISBN (Part2) G. Swan, Gubeladze's proof of Anderson's conjecture; G. Szeto and 0-8218-0175-9; ISBN (Part3) 0-8218-0176-7; (Part4) 0-8218-0177-5, Y.-F. Wong, On Azumaya projective group rings; S. M. Vovsi, Some LC 91-31 045; 762 pages (Part 1 ); 790 pages (Part 2); 732 pages (Part ring themes in the theory of varieties of group representations; A. R. 3); 446 pages (Part4); 2840 pages (Se~ (hardcover), December 1991 Set: Individual member $220, List price $367, Institutional member Wadsworth, Valuations on tensor products of symbol algebras; R. $294 Wiegand, Torsion-free modules over regular domains of dimension two. Part 1: Individual member $68, List price $113, Institutional member $90 1991 Mathematics Subject Classifications: 13C1 0, 14A22, 16K20, Part 2: Individual member $70, List price $116, Institutional member $93 16W30,17B35;13A18,13A20,13C05,16P20,16S36,16S40,20C10 Part 3: Individual member $65, List price $108, Institutional member $86 ISBN 0-8218-5132-2, LC 91-41788, ISSN 0271-4132 Part4: Individual member $40, List price $67, Institutional member $54 To order, please specify CWORKS/2N (Set), CWORKS/2.1 N (Part 1 ), 298 pages (softcover), January 1992 CWORKS/2.2N (Part 2), CWORKS/2.3N (Part 3), CWORKS/2.4N (Part Individual member $26, List price $43, 4) Institutional member $34 To order, please specify CONM/124N

AZUMAYA ALGEBRAS, ACTIONS, STRATEGIES FOR SEQUENTIAL SEARCH AND MODULES AND SELECTION IN REAL TIME Darrell E. Haile and James Osterburg, Editors F. Thomas Bruss, Thomas S. Ferguson, (Contemporary Mathematics, Volume 124) and Stephen M. Samuels, Editors (Contemporary Mathematics, Volume 125) This volume contains the proceedings of a conference in honor of Goro Azumaya's seventieth birhtday, held at Indiana This volume contains the proceedings of the AMS-IMS-SIAM University in Bloomington in May 1990. Professor Azumaya, Joint Summer Research Conference on Strategies for Sequential

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58 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY ...... -~··-·-·~~.~ ... ~ ...... ~...... ~ ...... ~,_--~ .. ~~--..----- ...... -- ...... _ New AMS Publications

Search and Selection in Real Time, held in June 1990 at of the Main Theorem and applications; Families of contractive projections the University of Massachusetts at Amherst. The conference and concluding remarks. focused on problems related to sequential observation of random 1991 Mathematics Subject Classifications: 47025, 47015, 46B20, 47B1 0 variables and selection of actions in real time. Forty-seven ISBN 0-8218-2515-1, LC 91-36296, ISSN 0065-9266 researchers from twelve countries attended the conference. 109 pages (softcover), January 1992 The eighteen papers collected here span four broad topics. Individual member $16, List price $26, The first five papers deal with selection problems in which the Institutional member $21 reward or cost depends on the observations only through their To order, please specify MEM0/459N ranks; such problems have come to be called secretary problems. The next group of papers focuses on sequential search, bandit problems, and scheduling. These are followed by four papers on multicriteria and competitive problems, and the volume ends with QUOTIENTS OF COXETER COMPLEXES four papers on prophet inequalities, records, and extreme values. AND P-PARTITIONS Aimed at graduate students and researchers in mathematics and statistics, this book will provide readers with a feeling for the Victor Reiner (Memoirs of the AMS, Number 460) breadth and depth of contemporary research in these areas. Contents This work deals with Coxeter complexes, a class of highly symmetrical triangulations of spheres and their quotients by F. T. Bruss, Optimal selection, learning and machine implementation; T. symmetry subgroups. For certain subgroups, the author shows S. Ferguson, J. P. Hardwick, and M. Tamaki, Maximizing the duration how the combinatorial theory of ?-partitions may be used to of owning a relatively best object; A. V. Gnedin and M. Sakaguchi, On a analyze the quotient and how ?-partitions and multipartite best choice problem related to the Poisson process; Z. Govindarajulu, ?-partitions may be. extended to deal with more general classes The secretary problem: optimal selection from two streams of candidates; of subgroups. Applications to combinatorics, topology, and S. Silverman and A. Nadas, On the game of Googol as the secretary invariant theory of finite groups are discussed. problem; E. A. Feinberg, A Markov decision model of a search process; E. L. Presman, Properties of optimal strategies in the Poisson version Contents of the two-armed bandit problem with two hypotheses; R. Righter, Coxeter complexes and their quotients; P-partitions for other Coxeter Multiprocessor scheduling and the sequential assignment problem; E. Z. groups; Quotients by reflection and alternating subgroups, and their Ferenstein, Two-person non-zero-sum sequential games with priorities; diagonal embeddings; Quotients by a Coxeter element. T. S. Ferguson, Best-choice problems with dependent criteria; A. V. 1991 Mathematics Subject Classifications: 51 F15; 05A99 Gnedin, Multicriteria extensions of the best choice problem: sequential ISBN 0-8218-2525-9, LC 91-36297, ISSN 0065-9266 selection without linear order; M. Yasuda, On a separation of a stopping 134 pages (softcover), January 1992 game problem for standard Brownian motion; F. Boshuizen, Multivariate Individual member $16, List price $27, prophet inequalities for negatively dependent random vectors; T. P. Institutional member $22 Hillard and R. P. Kertz, A survey of prophet inequalities in optimal To order, please specify MEM0/460N stopping theory; T. P. Hillard and U. Krengel, A prophet inequality related to the secretary problem; D. P. Kennedy and R. P. Kertz, Comparisons of optimal stopping values and expected suprema for i.i.d. • 'MIPIIBI PMI r. v. 's with costs and discounting; S. M. Samuels, An all-at-once proof of A FAMILY OF COMPLEXES ASSOCIATED TO lgnatov's theorem; N.J. Schmitz, Games against a prophet. AN ALMOST ALTERNATING MAP, WITH 1991 Mathematics Subject Classifications: 60-06; 60G99 APPLICATIONS TO RESIDUAL ISBN 0-8218-5133-0, LC 91-38281, ISSN 0271-4132 248 pages (softcover), January 1992 INTERSECTIONS Individual member $28, List price $47, Andrew R. Kustin and Bernd Ulrich Institutional member $38 (Memoirs of the AMS, Number 461) To order, please specify CONM/125N A family {::D q} of complexes of freeR-modules is constructed for each almost alternating matrix p = [XY] of shape (g, f) over a commutative noetherian ring R. (In p, X is a g x g alternating CONTRACTIVE PROJECTIONS IN Cp matrix and Y is an arbitrary g x f matrix.) The complexes ::D q are in many ways analogous to the Buchsbaum-Rim and Jonathan Arazy and Vaakov Friedman Eagon-Northcott complexes which are associated to a generic (Memoirs of the AMS, Number 459) matrix. For example, the complex ::D q is isomorphic to the This work is devoted to the study of contractive projection (that (shifted) dual of the complex ::D f- 2-q; and the complex ::D q can is, norm-one idempotent operators) on Cp. where Cp denotes the be obtained as the mapping cone of two of the complexes which von Neumann-Schatten p-classes. The authors show that the correspond to an almost alternating matrix of shape (g, f- 1). range of a contractive projection on Cp (1 < p < oo, p i 2) is the Roughly speaking, the complex ::D q is obtained by pasting a direct sum of Cv·ideals of classical Cartan factors. graded strand of the algebra lK /'J (where lK is the Koszul Contents algebra associated to p and 'J is a two generated ideal of lK ), together with a different graded strand of the same algebra. Properties of contractive projections on Cp which depend on smoothness, The position in ::D q where the two strands are patched together strict convexity and reflexivity; JC*-triples and the formulation of the involves pfaffians, of various sizes, of the alternating map which main result, Differentiation formulas and Schur multipliers; Connection corresponds top. If pis sufficiently general, then ::D q is acyclic between a contractive projection and Peirce projections associated for all g ~ -1. If the maximal order pfaffians of X generate a with elements in its range; Existence of atoms; Basic relations between grade three Gorenstein ideal of and 3, then ::D 0 resolves atoms; Structure of N -convex subspaces of Cp; Conclusion of the proof I R f ~ R/ J, where J is an !-residual intersection of I. In the generic

JANUARY 1992, VOLUME 39, NUMBER 1 59 New AMS Publications

case, the divisor class group of R/ J is the infinite cyclic group generated by the cokernel of p, and :D q resolves a representative SOCIETE MATHEMATIQUE DE FRANCE, ASTERISQUE of the class q[cokerp] from CP(R/ J) for all q 2: -1. When f = 0, then :D q resolves the qth poser Iq of the grade three Gorenstein ideal!. The AMS distributes Asterisque only in the U.S., Canada, and Mexico. Orders from other countries should be sent to the SMF, Ecole Normale Contents Superieure, Tour L, 1 rue Maurice Arnoux, 92120 Montrouge, France, Preliminary concepts; The definition of the family {Il q}; Each 1) q or to OFFILIB, 48 rue Gay-Lussac, 75240 Paris Cedex 05, France. is a complex; Elementary facts about the complexes {Il q}; Grade Individual members of either AMS or SMF are entitled to the member calculations; Acyclicity in the case f = 0; Acyclicity in the generic case; price. (ISSN 0303-1179) Acyclicity in the non-generic case; Properties of the rings R/ J in the generic case; The residual intersection of a grade three Gorenstein ideal. 1991 Mathematics Subject Classifications: 13C40, 13C20, 14M12 ISBN 0-8218-2519-4, LC 91-36298, ISSN 0065-9266 94 pages (softcover), January 1992 , IE II Individual member $15, List price $25, TRAVAUX DE THURSTON SUR LES Institutional member $20 To order, please specify MEM0/461 N SURFACES (SECOND EDITION) A. Fathi, F. Laudenbach, and V. Poenaru, Editors (Asterisque, Number 66-67) SINGULAR UNITARY REPRESENTATIONS AND DISCRETE SERIES FOR INDEFINITE This book, an outgrowth of a seminar held in Orsay in STIEFEL MANIFOLDS U(p, q; IF)/ 1976-1977, is the second edition of an exposition of Thurston's U(p- m, q; IF) work on surfaces, as outlined in his research announcement. The entire theory is constructed using measured foliations rather Toshiyuki Kobayahsi than laminations. The main topics are: measured foliations on (Memoirs of the AMS, Number 462} surfaces, compactification of Teichmuller spaces by projective Interesting classes of (g, K)-modules are often described space of measured foliations, classification in the mapping class naturally in terms of cohomologically induced representations in group, and pseudo-Anosov diffeomorphisms. various settings, such as unitary highest weight modules, the theory of dual reductive pairs, discrete series for semisimple symmetric spaces, etc. These have been stimulating the study Contents of algebraic properties of derived functor modules. Now an V. Poenaru, Presentation de /'ensemble des tMoremes de Thurston sur almost satisfactory theory on derived functor modules, including les surfaces; V. Poenaru, Quelques rappels sur les diffeomorphismes a functorial property about unitarizability, has been developed in des surfaces; V. Poenaru, Rappels de geometrie hyperbolique en the "good" range of parameters, though some subtle problems dimension 2 et generalites suri: s x s--> ~ +; V. Poenaru, L'espace des still remain. courbes simples fermees sur une surface; A. Fathi, Appendice-Double This work treats a relatively singular part of the unitary dual decomposition d'une surface en pantalons; A. Fathi and F. Laudenbach, of pseudo-orthogonal groups U(p, q; lF) over lF = lR, C and JHI. Les feuilletages mesures; V. Poenaru, Appendice-Spines des varietes These representations arise from discrete series for indefinite de dimension 2; A. Fathi, Les feuilletages mesures, suite; A. Fathi, Stiefel manifolds U(p, q; lF )/U{p - m, q; lF) (2m ~ p). Thanks Appendice-Formules explicites sur les feuilletages mesures; A. Douady, to the duality theorem between9'-module construction and L'espace de Teichmiiller; A. Fathi and F. Laudenbach, Comment Zuckerman's derived functor modules (ZDF-modules), these Thurston compactifie /'espace de Teichmiiller; A. Fathi, Appendice­ discrete series are naturally described in terms of ZDF-modules Estimations de distances hyperboliques; V. Poenaru, Classification des with possibly singular parameters. The author's approach is diffeomorphismes des surfaces; A. Fathi and M. Shub, Some dynamics algebraic and covers some parameters wandering outside the of pseudo-Anosov diffeomorphisms; F. Laudenbach, La tMorie de canonical Weyl chamber. Thurston sur les surfaces a bord; A. Fathi and v. Poenaru, TMoremes d'unicite des diffeomorphismes pseudo-Anosov; F. Laudenbach, Contents Construction de diffeomorphismes pseudo-Anosov; D. Fried, Fibrations Notation; Main results; Further notations and preliminary results; Some overS' with pseudo-Anosov monodromy; F. Laudenbach, Presentation explicit formulas on K multiplicities; An alternative proof of the sufficiency du groupe de diffeotopies d'une surface compacte orientable. torR~ (C >.) =I 0; Proof of irreducibility results; Proof of vanishing results outside the fair range; Proof of the inequivalence results. 1991 Mathematics Subject Classifications: 22E46; 43A85, 22E45, 22E4 7 1991 Mathematics Subject Classifications: 57R30, 57R32, 57R50, ISBN 0-8218-2524-0, LC 91-36299, ISSN 0065-9266 58F15, 57M99, 57N05, 57N10, 30F20 106 pages (softcover), January 1992 ISSN 0303-1179 Individual member $16, List price $26, 296 (softcover), 1991 Institutional member $21 Individual AMS or SMF member $29, List price $41 To order, please specify MEM0/462N To order, please specify AST/66/67N

60 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Miscellaneous

Personals a member of the Society for 24 years. Visiting Mathematicians Gerald L. Alexanderson, chair of the Nicholas D. Kazarinoff, of Albu­ Supplementary List mathematics department of Santa Clara querque, New Mexico, died on Novem­ Mathematicians visiting other institu­ University, has been elected senator of ber 21, 1991, at the age of 72. He tions during the 1990-1991 and 1991- the Society of Phi Beta Kappa. was a member of the Society for 38 1992 academic years have been listed Simon A. Levin, of Cornell Uni­ years. in recent issues of Notices: Decem­ versity, has been appointed professor of Ellis R. Kolchin, Professor Emer­ ber 1991, p. 1348; November 1991, p. ecology and evolutionary biology and itus of Columbia University, died on 1192; October 1991, p. 1016; Septem­ has been named the George M. Mof­ October 30, 1991, at the age of 75. He ber 1991, p. 858; July/August 1991, p. fett Professor of Biology at Princeton was a member of the Society for 53 656; May/June 1991, p. 494; Decem­ University. years. ber 1990, p. 1466; November 1990, p. Lawrence E. Levine, of the Stevens Lawrence Kuipers, of Wassenaar, 1295; October 1990, p. 1148; Septem­ Institute of Technology, has been ap­ The Netherlands, died on September ber 1990, p. 959. pointed head of the department of pure 30, 1991, at the age of 82. He was a Evgeni M. Chirka, (USSR), Uni­ and applied mathematics at that institu­ member of the Society for 40 years. versity of Washington, Several Com­ tion. Christopher L. Thompson, of the plex Variables, 12/91-6/92. Vladimir Pestov, of Tomsk State University of Southampton, died on Maria Gonzalez, (Spain), Univer­ University, Russia, has accepted the October 12, 1991, at the age of 50. He sity of Washington, Harmonic Measure position of lecturer at Victoria Univer­ was a member of the Society for 12 Theory, 9/91-6/92. sity of Wellington, New Zealand. years. C. Robin Graham, (U.S.), Univer­ MorrisYachter, of New York, New sity of Adelaide, Partial Differential Deaths York, died on December 28, 1990, at Equations, 12/91-3/92. Augusto Bobonis, of Santurce, Puerto the age of 78. He was a member of the Salvador Perez-Esteva, (Mexico), Rico, died on September 26, 1990, at Society for 33 years. University of Washington, Mathemati­ the age of 83. He was a member of the Micha Yadin, of Technion-Israel cal Analysis, 9/91-6/92. Society for 50 years. Institute of Technology, died in April Boris Solomyak, (USSR), Univer­ Lawrence F. Guseman, Jr., of 1991, at the age of 58. He was a sity of Washington, Classical Analysis, Texas A&M University, died on Novem­ member of the Society for 7 years. 9/91-6/92. ber 5, 1991, at the age of 53. He was

JANUARY 1992, VOLUME 39, NUMBER 1 61 New Members of the AMS

ORDINARY MEMBERS Ramon Melendez-Sierra, San Juan, Jae-Nyun Yoo, Pohang Institute of Sociedade Brasileira de Matenuitica Allan R Adler, Kingston, RI PR Science and Technology, Korea Sebastiao Carneiro De Almeida Brooklyn, NY Sixiang Zhang, Gannon Univ, Erie, David R M Allan, Sarnia, Ontario Stanley Jay Nagler, Unione Matematica ltaliana Canada Pamela G Oden, Point Lorna PA Stefano Meda Michael Gerald Austin, Benicia, CA College, San Diego, CA Christoph Winfried Baxa, Moedling, Solomon Peysakhov, Chicago, IL Osterreichische Mathematische Austria Suriani Pokta, Los Angeles, CA RECIPROCITY MEMBERS Gesellschaft G Behforooz, Utica College, NY Aleksey Popelyukhin, Brooklyn, NY Hans Christian Reichel Peter Adam Beling, Richmond, CA Thomas M Roberts, AL!OEDA, London Mathematical Society Udayan B Darji, North Carolina Brooks AFB, TX James William Bruce State Univ, Raleigh Leonardo Luca Rossi, Rochester, NY Mathematical Society of Japan William A Donnell, Graham, TX Michael Timothy Schwartz, Kazuoki Ikeda NOMINEE MEMBERS Oktay Metin Gokdemir, Tulsa, OK Tallahassee, FL Societe Mathematique Suisse City College (CUNY) Ronald Alan Johns, Ohio Northern Pokta Suriani, Univ of California Univ, Ada Los Angeles Remo Moresi Bing Huang Lawrence R Jones, Terre Haute, IN Peter Theron, Madison, WI Societe Mathbnatique de France Mississippi State University Martin Jurchescu, Bucharest, Amir Uddin, Karachi, Pakistan Pierre Moussa Wenyue Wang John D Vedder, Houston, TX Romania Sociedad Matemdtica Mexicana SUNY at Buffalo Wayne Lee, Sugarland, TX Cheng Wu Yang, East China Guillermo Moreno Ying Zhou William Joseph Long, Oakland, CA Institute of Technology, Yolanda Melendez, Univ of Nanjing, People's Republic Sociedad de Matemdtica de Chile University of New Orleans Extremadura, Badajoz, Spain of China Cesar Burgueno Qinqshun Hou

c Vol. 457 ME~5)1RS Multiplicative Homology Operations and Transfer American Mathematical Society Norihiko Minami

In Multiplicative Homology Operations and Transfer, Minami presents a completely new treatment of the homology opera­ ~wrr'it{es! tions QSO.

1991 Mathematics Subject Class!fi.cations: 55 Vol. 456 ISBN 0-8218-2518-6, 80 pp. (softcover). November 1991 Indiv. mem. $11, List $18, Inst. mem. $14 Combinatorial Patterns for Maps of the Interval Your ordering code is MEM0/457NA Michal Misiurewicz and Zbigniew Nitecki

This study investigates new features of the relation between Vol. 458 cyclic permutations and its generalization to multicyclic permutations and combinatorial pattems. Lyapunov Theorems for Operat.or Algebras Joel Anderson 1991 Mathematics Subject Classlftcations: 58, 54, 26 Charles A. Akemann and ISBN 0-8218-2513-5, 120 pp. (softcover), November 1991 Indiv. mem. $13, List $21. lnst. mern. $17 the result of a systematic generalization Your ordering code is MEM0/456NA This book presents of Lyapunov's theorem to the setting of operator algebras.

All prices subject to change. Free shipment by surface: for air delivery, please add 1991 Mathematics Subject Class!fi.cations: 46; 28. 49, 52, 60, 93 $6.50 per title. Prepayment required. Order from:American Mathematical Society, ISBN 0-8218-2516-X, 96 pp. (softcover), November 1991 P.O. Box 1571. Annex Station. Providence. RI 02901-1571, or call toll free 800- Indiv. mem. $11, List $19, Inst. mem. $15 321-4AMS in the continental U.S. and Canada to charge with VISA or MasterCard. Your ordering code is MEM0/458NA Please add 7% GST to all orders totalling over $40 being shipped to Canada.

62 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY INSTITUTIONS NOT SUBJECT TO U.S. LAWS may be required to execute and submit a copy of this form with the text of recruitment advertisements for the Notices (see Policy Statement below). Publication of recruitment advertisements not accompanied by the completed form may be delayed or denied.

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Please return this form to: Advertising Department Notices of the American Mathematical Society P.O. Box 6248 Providence, RI 02940, U.S.A.

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No listing for a position will be printed if it expresses or implies any preference, limitation, specification, or discrimination based on age, color, race, religion, sex, or national origin in contravention of any federal or state statute prohibiting discrimination in employment on the basis of these criteria. The publisher reserves the right to edit any listing prior to publication which does not conform with federal or state law on discrimination in employment. All employers in the United States are required to abide by the requirements of Title Vll of the Civil Rights Act of 1964, announcing a national policy of equal employment opportunity in private employment, without discrimination because of color, race, religion, sex, or national origin. All U.S.listings are accepted with the understanding that the employer complies with federal requirements. Advertisers not subject to U.S. laws may be required to sign a statement that they do not discriminate in employment on grounds of age, color, race, religion, sex, or national origin. Applicants should be aware that institutions outside the U.S. may not be legally bound to conform to these or similar requirements and the AMS cannot assume responsibility for enforcing compliance. Applicants are advised to inform themselves ofconditions that may exist at the institutions to which they apply. In particular, readers should note that the Equal Employment Opportunity Act (42 U.S.C., §§2000e et seq.), which prohibits discrimination in employment on the basis of race, religion, sex, or national origin, contains (in §2000e-1) an exception from the provisions of the Act for any religious corporation, association, educational institution, or society with respect to employment of individuals of a particular religion to perform work connected with the carrying on by such corporation, association, educational institution, or society of its activities. The Age Discrimination Act of 1967 (29 U.S.C., §§621 et seq., as amended), makes it unlawful for an employer to discriminate against any individual between the ages of 40 and 70 because of age. Thus it is legal to seek as an employee someone who is "over 30," but not one "over 50"; neither is it legal to express a preference for someone who is "young," or is a "recent graduate," since the latter tend (on statistical grounds) to be young.

JANUARY 1992, VOLUME 39, NUMBER 1 63 Classifi.ed Advertisements

SUGGESTED USES for classified advertising are positions available, books or lecture notes tor numerical analysis for a tenure-track Assistant sale, books being sought, exchange or rental of houses, and typing services. Professor position to begin in August 1992. THE 1992 RATE IS $60.00 per inch on a single column (one-inch minimum), calculated from CSUSM seeks an individual with strong aca­ 1 the top of the type; $30 for each additional /;. inch or fraction thereof. No discounts tor multiple demic and professional preparation and with ads or the same ad in consecutive issues. For an additional $10 charge, announcements can be interest in the development of the mathematical placed anonymously. Correspondence will be forwarded. sciences at a new institution. Experience with Advertisements in the "Positions Available" classified section will be set with a minimum machine computation is preferred. An appli­ one-line headline, consisting of the institution name above body copy, unless additional headline cation consists of a statement of interest in copy is specified by the advertiser. Advertisements in other sections of the classified pages will teaching, research and service, a complete re­ be set according to the advertisement insertion. Headlines will be centered in boldface at no extra sume, and at least three reference letters which charge. Classified rates are calculated from top of type in headline to bottom of type in body copy, should comment on the applicant's credentials including lines and spaces within. Any fractional text will be charged at the next 11;. inch rate. Ads in teaching, research, and service. Copies of will appear in the language in which they are submitted. scholarly work may be included. Opening pend­ Prepayment is required of individuals but not of institutions. There are no member discounts ing authorization. Applicants should be U.S. for classified ads. Dictation over the telephone will not be accepted for classified advertising. citizens or individuals lawfully authorized to DEADLINES are listed on the inside front cover or may be obtained from the AMS Advertising work in the U.S. Applications should be sent Department. to: Mathematics Search Committee, Califor­ . U. S. LAWS PROHIBIT discrimination in employment on the basis of color, age, sex, race, nia State University, San Marcos, 820 West religion or national origin. "Positions Available" advertisements from institutions outside the U. S. Los Vallecitos Blvd., San Marcos, CA 92096- cannot be published unless they are accompanied by a statement that the institution does not 1477. Review of candidates will begin February discriminate on these grounds whether or not it is subject to U. S. laws. Details and specific 15, 1992, and continue until the position is tilled. wording may be found near the Classified Advertisements in the January and July/August issues Women and minorities are strongly encouraged of the Notices. to apply. CSUSM is an Affirmative Action/Equal SITUATIONS WANTED ADVERTISEMENTS from involuntarily unemployed mathematicians Opportunity Institution. are accepted under certain conditions for tree publication. Call toll-free 800-321-4AMS (321-4267) in the U.S. and Canada for further information. SEND AD AND CHECK TO: Advertising Department, AMS, P. 0. Box 6248, Providence, Rho~e Island 02940. AMS location tor express delivery packages is 201 Charles Street, Providence, Rhode Island 02904. Individuals are requested to pay in advance, institutions are not required to do so. AMS FAX 401-455-4004. UNIVERSITY OF CALIFORNIA, BERKELEY Department of Statistics We invite applications for a faculty position at POSITIO Applicants for a junior level position should have the non-tenure level, to begin 1 July 1992. strong research potential as well as a commit­ We will consider strong candidates in any area ment to teaching undergraduate and graduate of theoretical and applied statistics, probability -~...."-~-IZ.'X!'&'AL'ABA'M'A'~~"~ ..;;;;,;;;:;~ students. Applicants with post-doctoral expe­ and applied probability theory. Interdisciplinary

~&~Z.-~7~~m-..=,_,-~-- rience are especially welcome. Applicants tor interests are encouraged and joint appointments are a possibility. The department is particularly AUBURN UNIVERSITY senior level positions with tenure should have an exceptional record in research including re­ interested in hearing from suitably qualified Department of Algebra, search grants and a record of good teaching. women or members of minorities currently Combinatoric& and Analysis Preference will be given to candidates whose underrepresented in faculty positions. AA/EOE. Applicants in combinatorics are sought tor a research is compatible with that of our current Send inquiries and applications including a tenure-track appointment at the rank of assis­ faculty: this includes dynamical systems, dif­ resume and three references to: David R. tant professor expected to be made in beginning ferential geometry, mathematical physics, non­ Brillinger, Personnel Committee, Department of September 1992. Preference given to candi­ linear analysis, partial differential equations Statistics, University of California, Berkeley, CA dates in discrete optimization, coding theory, including numerical p.d.e., and topological dy­ 94720, USA. We should receive this material no cryptology, extremal set theory, or association namics. To apply please send a curriculum later than January 31, 1992. schemes. vitae, selected reprints, and at least three letters Some temporary one-year appointments at of reference. Senior applicants may request that the rank of assistant professor are also expected the Search Committee contact the references­ beginning September 1992. Preference given please make that clear in the cover letter. Send to applicants in differential equations. Those in applications to the following address: UNIVERSITY OF CALIFORNIA, BERKELEY algebra, analysis, combinatorics, linear algebra Search Committee Fellowships in Mathematics or probability considered. Research interest Department of Mathematics and Molecular Biology compatible with current faculty. University of Alabama at Birmingham Ph.D. and excellence in both teaching and Birmingham, AL 35294-2060 The Program in Mathematics and Molecular research required for all positions. Send re­ For full consideration applications should be Biology has graduate and postdoctoral fellow­ sume and arrange for at least three letters received by February 15, 1992. UAB is an ship support available. Current topics in the of recommendation to be sent to James R. Affirmative Action/Equal Opportunity Employer. Program include geometry, topology, and se­ Wall, 120 Math Annex, Auburn University, AL quence analysis of DNA, molecular dynamics, 36849-5307. Minorities and Women are encour­ and mapping functions and algorithms for DNA aged to apply. Auburn University is an Equal and protein structure prediction. Other areas Opportunity Affirmative Action Employer. will be considered. Fellowships can be held at CALIFORNIA any university or college in the United States. Deadline for Applications: CALIFORNIA STATE UNIVERSITY, February 1, 1992. Women and minorities are encouraged to ap­ SAN MARCOS ply. Apply to: Dr. S. J. Spengler/Dr. N. R. THE UNIVERSITY OF ALABAMA Numerical Analyst Cozzarelli, PMMB, 103 Donner Lab, Univer­ AT BIRMINGHAM sity of California, Berkeley, CA 94720. Email: Department of Mathematics California State University, San Marcos, located thirty miles north of San Diego, is the newest sylviaj @violet.berkeley.edu. Applications are invited tor tenure track po­ campus in the California State University sys­ sitions at all levels to begin September 1992. tem. CSUSM seeks a Ph.D. mathematician in

64 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Classified Advertisements

UNIVERSITY OF CALIFORNIA, IRVINE demonstrated interest in issues of learning academic leadership. Applications should be Department of Mathematics and teaching science or mathematics at the mailed to: Chair of Appointments Committee, Irvine, CA 92717 secondary or postsecondary levels, teaching Department of Mathematics, DAB 155, Uni­ experience at the undergraduate and graduate versity of Southern California, Los Angeles, Applications are invited for up to five positions levels, and a record of scholarly achievement CA 90089-1113. USC is an Equal Opportu­ effective July 1, 1992 at the tenure-track level that will qualify for a tenured appointment. The nity/Affirmative Action employer. Women and in the areas of algebra, analysis, applied math­ successful candidate will be affiliated with the minorities are especially encouraged to apply. ematics, foundations, geometry, probability, sta­ new Mathematics and Science Education Joint tistics, or topology. Demonstrated leadership in Ph.D. program with San Diego State University. research is expected of applicants at the tenure To apply, send CV, publications, a short letter (Associate or Full Professor) levels. Applicants describing background and interests, and at at these levels should send a curriculum vitae, least five letters of reference to "Math/Science list of publications, a few selected reprints or Education Search Committee," University of preprints, and the names of three references California, San Diego, Mail Code 0112, 9500 UNIVERSITY OF NORTHERN COLORADO to Peter Li, Chair of the Recruitment Com­ Gilman Drive, La Jolla, California 92093-0112. Greeley, Colorado mittee, at the above address. Applicants at Applications received by February 15, 1992 will The Department of Mathematical Sciences at the tenure-track level are expected to have be given full consideration. Salary and level of UNC is inviting applications for a one- or two­ demonstrated outstanding research potential, appointment will be based on qualifications and year temporary position beginning August 1992. and should send a resume, reprints, preprints UC pay scale. In compliance with the Immigra­ A Ph.D. in Mathematics is required along with and dissertation abstract, and ask three people tion Reform and Control Act of 1986, individuals a strong commitment to excellent teaching. In to send letters of recommendation to Peter Li. offered employment by the University of Cali­ addition to a 12-hour teaching load at the un­ We should receive all these materials no later fornia will be required to show documentation dergraduate level, advising or committee work than March 1, 1992. The University of Califor­ to prove identity and authorization to work in or continuing scholarly activities are expected. nia is an Equal Opportunity/Affirmative Action the United States before hiring can occur. Im­ Send letter of application, resume, three letters employer. The Department of Mathematics wel­ migration status on non-U.S. citizens should be of recommendation (and the names, addresses comes applications from women and minority stated on curriculum vitae. UCSD is an equal and phone numbers of the three references) candidates. opportunity/affirmative action employer. and position number 21341 to: Professor Richard Grassl Chair, Department of Mathematical UNIVERSITY OF CALIFORNIA, SAN DIEGO UNIVERSITY OF CALIFORNIA, Sciences SANTA BARBARA University of Northern Colorado A senior professorship (tenured) in statistics is Greeley, CO 80639 Department of Mathematics expected to become available beginning July Applications received by January 15, 1992 1992 subject to administrative approval. Qual­ Applications are invited for the KY FAN AS­ will be given full consideration. AAEO ifications: Associate or Full Professor Level SISTANT PROFESSORSHIP. The Ky Fan as­ (Tenured), Ph.D. in Statistics, Mathematics, sistant professorship is a special two-year non­ or related field, demonstrated research, and renewable position which carries a research demonstrated teaching experience at the un­ stipend. Appointment is effective July 1, 1992. dergraduate and graduate levels. Interest in Candidates must possess a Ph.D by Septem­ applications and computation will be given ber 1992. Selection will be based primarily on UNIVERSITY OF HARTFORD weight, however, all statistical areas of inter­ demonstrated research achievement. Teaching est will be considered. To apply, send CV, experience is desirable. Teaching load will con­ Mathematics and publications, and the names and addresses of sist of four quarter courses per year. To apply Computer Science Department at least five references to "Statistics Appoint­ send vita and publication list, and arrange to West Hartford, CT 06117 ments Committee," University of California, San have 3 letters of recommendation sent to: Ky Applications are invited for a full-time tenure­ Diego, Department of Mathematics, 0112, 9500 Fan Faculty Search Committee, Department track position beginning September 1992 at Gilman Drive, La Jolla, California 92093-0112. of Mathematics, University of California, Santa the rank of Associate or Assistant Professor Applications received by January 31, 1992 will Barbara, CA 93106. All applications received of Mathematics depending upon qualifications be given full consideration. Salary and level of by January 10, 1992 will be given thorough and experience. A second position may be­ appointment will be based on qualifications and consideration. UCSB is an Equal Opportu­ come available pending funding. Candidates UC pay scale. In compliance with the Immigra­ nity/Affirmative Action employer. Proof of U.S. must have a Ph.D. in Mathematics and a strong tion Reform and Control Act of 1986, individuals citizenship or eligibility for U.S. employment will commitment to excellence in undergraduate offered employment by the University of Cali­ be required prior to employment (Immigration teaching and scholarship/professional develop­ fornia will be required to show documentation Reform and Control Act of 1986). to prove identity and authorization to work in ment. Opportunity exists to teach in a nationally the United States before hiring can occur. Immi­ recognized inter-disciplinary general education gration status and non-U.S. citizens should be curriculum. Review of applications will begin stated on curriculum vitae. UCSD is an equal UNIVERSITY OF SOUTHERN CALIFORNIA, in January and continue until a decision is opportunity/affirmative action employer. LOS ANGELES reached. Application package must include a resume, three letters of recommendation (at The Department of Mathematics has available least one of which specifically addresses teach­ several tenure-track or tenured positions at ing), and a teaching statement that explains UNIVERSITY OF CALIFORNIA, the Assistant and/or Associate Professor level. your interest and commitment to the teaching of SAN DIEGO Applicants must show strong research promise undergraduate Mathematics. Send package to and possess excellent communications skills for Dr. Joel Kagan, Chairman, Math/C.S. Dept., Uni­ Expects a tenured position to become avail­ teaching undergraduate mathematics courses. versity of Hartford, W. Hartford, CT 06117. The able at the associate professor or full professor Visiting positions (at all levels) and postdoctoral University of Hartford is an Equal Opportunity level, subject to the availability of funds, in appointments will also be available. Affirmative Action Employer and specifically in­ the field of mathematics or science educa­ The Department of Mathematics also seeks vites and encourages applications from women, tion in the department of Biology, Chemistry, to fill at least one tenured position at the senior minorities and members of underrepresented Mathematics, or Physics. The appointment be­ level. Successful applicants will have an out­ groups. gins July 1992. Qualifications include Ph.D. in standing record of mathematical research and Biology, Chemistry, Mathematics, or Physics, scholarship, and proven administrative skills for

JANUARY 1992, VOLUME 39, NUMBER 1 65 Classified Advertisements

candidates should send a summary of future tion of the degree in the near future will be FLORIDA research plans to Professor Jack K. Hale, Di­ considered. Strong commitment to teaching is rector, CDSNS, Georgia Institute of Technology, essential. Candidates should send a letter of ROLLINS COLLEGE Atlanta, GA 30332-0190. Georgia Tech, a mem­ application, a resume, and arrange to have Department of Mathematical Sciences ber of the University System of Georgia, is an three letters of reference sent to: Dr. John Winter Park, FL 32789 Equal Opportunity/Affirmative Action Employer. Stroyls, Department of Mathematics, Georgia Southwestern College, Americus, GA 31709- One tenure track position, involving both math­ 4693, phone (912)928-1645 or (912)928-1251. ematics and computer science, preferably at The position will remain open until filled, but to the Assistant Professor level, is available for GEORGIA SOUTHERN UNIVERSITY ensure consideration, please apply by March September 1992, pending approval. The De­ Department of Mathematics 15, 1992. GSW is an Affirmative Action, Equal partment offers majors in mathematics and com­ and Computer Science Opportunity Employer. puter science, and seeks a versatile, broadly educated mathematician who is willing to teach Applications are invited for two tenure-track and participate in both programs. In addition to positions starting September 1, 1992. the usual range of undergraduate mathematics 1. Assistant or Associate Professor, Ph.D. in courses for majors and non-majors, the appli­ Statistics required by September 1, 1992. Train­ ILLINOIS ing or experience in applications of statistical cant must also be able to teach at least two ELMHURST COLLEGE upper-level ACM computer science courses; for methodology required. Three years experience example, database management systems, op­ in industrial applications preferred, experience Tenure-track position beginning fall1992 (pend­ erating systems, or compiler construction. The with major statistical computer packages re­ ing approval of the Board of Trustees). Qualifi­ area of mathematical specialization is open, quired. Duties include teaching graduate and cations desired: Ph.D. in mathematics, interest but a Doctorate (or ABD with degree nearing undergraduate statistics for a variety of majors in continued scholarship, and a strong com­ completion), strong commitment to innovative and supervision of research projects for M.S. mitment to undergraduate teaching in a liberal teaching and continued professional develop­ degree candidates concentrating in statistics. arts college. Teaching load: 6 courses per year. ment in a liberal arts environment is required. Search #25365. Elmhurst College is a four-year private institu­ 2. Assistant or Associate Professor, Ph.D. The teaching load is 8-10 hours per week. tion located in the western suburbs of Chicago. Winter Park, a delightful city of 40,000, is lo­ in Operations Research or closely related field Applications should include a curriculum vitae required by September 1, 1992. Training or ex­ cated in the greater Orlando area. To ensure full and three letters of reference. Please send consideration, applications must be complete perience in applications of operations research to Dr. Jon L. Johnson, Dept. of Mathematics, by 15 Feb 1992. Send resume, transcripts and in business and industry required, three years Elmhurst College, Elmhurst, IL 60126. Elmhurst three letters of recommendation (at least one experience preferred. Duties include teaching College is an Equal Opportunity Employer. of which must comment on teaching) to: David graduate and undergraduate courses in opera­ Kurtz, Chair. Rollins College assures equal em­ tions research and mathematics, and supervi­ ployment opportunity through a continuing and sion of research projects for M.S. degree can­ effective affirmative action program. didates concentrating in operations research. LAKE FOREST COLLEGE Search #25364. In addition to the above positions, several Mathematics. Lake Forest College invites appli­ temporary positions may be added at the cations for a continuing appointment in Mathe­ GEORGIA instructor level in the area of teaching freshman­ matics at the Assistant Professor level, starting level mathematics. Experience preferred. Duties August 1992. We seek candidates with a Ph.D., EMORY UNIVERSITY include teaching fifteen credit hours per quarter. a commitment to excellent teaching in a quality ATLANTA, GA 30322 M.A. or M.S. in mathematics required. Search liberal arts environment, and an active interest #25379. Department of Mathematics in mathematical research. The teaching load is Applicants are asked to send a letter of three courses per semester. Send a c.v. and and Computer Science application indicating the search number of arrange to have 3 letters of reference and a The Department of Mathematics and Computer the position desired, curriculum vitae, unofficial graduate transcript sent, by February 1, 1992, to Science has three openings in mathematics to transcripts of all college work, evidence of Edward W. Packel, Chairperson, Mathematics begin September 1, 1992. The positions are dedication to outstanding teaching, and three & Computer Science Department, Lake Forest at the level of tenure-track assistant professor. letters of recommendation by February 1, 1992 College, 555 N. Sheridan Rd., Lake Forest, IL Applicants must have a Ph.D. in mathematics to Dr. Lila F. Roberts, Landrum Box 8093, 60045. Applications from women and minorities and a strong record (or promise) of research. Georgia Southern University, Statesboro, GA are actively encouraged. AA/EOE. The areas of geometric analysis, algebra 30460.8093. and combinatorics are of particular interest to The names of applicants and nominees, us. The teaching load is 6 hrs./wk, including resumes, and other general non-evaluative in­ graduate and undergraduate courses. formation are subject to public inspection under LOYOLA UNIVERSITY OF CHICAGO Please send vita and names of three refer­ the Georgia Open Records Act. Georgia South­ The Department of Mathematical Sciences an­ ences to the above address, and have reference ern University is an Affirmative Action/Equal ticipates at least one tenure track position and letters forwarded to us. Screening of applica­ Opportunity Institution. some visiting positions beginning in August tions will begin Jan. 20, 1992. 1992. Requirements are the Ph.D., an active Emory University is an equal opportu­ research program in any area, and a commit­ nity/affirmative action employer. GEORGIA SOUTHWESTERN COLLEGE ment to quality teaching. The department offers Department of Mathematics courses in mathematics, computer science, and statistics at the undergraduate and masters GEORGIA INSTITUTE OF TECHNOLOGY Subject to budgetary approval, the Department level. Interviews will begin in January and con­ of Mathematics expects to fill a tenure-track tinue until all positions are filled. Send detailed The Center for Dynamical Systems and Non­ position at the assistant-professor level, start­ C.V. and three letters of recommendation to linear Studies expects to have some long and ing September 1, 1992. The Department has Professor S.R. Doty, Department of Mathemat­ short-term visiting positions beginning Fall1992. bachelor degree programs in mathematics, ical Sciences, Loyola University, Chicago, IL These positions are in nonlinear differential mathematics education, and a masters de­ 60626. Loyola University of Chicago is an Equal equations, dynamical systems, computational gree program in mathematics education. The Opportunity/Affirmative Action Employer. methods and related areas. In addition to a Ph.D. is required for promotion and tenure, but resume and at least three letters of reference, applicants with a clear prospect for comple-

66 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY --·---wrn ill'/--M:Sit :~-·~~-~·~------·---~·---··-····-"~·-·········· Classified Advertisements

NORTHWESTERN UNIVERSITY is expected. Teaching at both the bachelor's PURDUE UNIVERSITY CALUMET Mathematics Department and master's degree levels. Send curriculum vitae, photocopies of grad­ The Department of Mathematics, Computer 2033 Sheridan Road, Science & Statistics will have one (1) tenure­ Evanston, Illinois 60208-2730 uate transcripts and at least three letters of reference to: track mathematics position available for August The Mathematics Department will sponsor an Mackinley Scott, Chairperson 1992 at the rank of Assistant Professor. Emphasis Year in partial differential equations. Department of Mathematics Requirements: a Ph.D. in Mathematics. Re­ This program will include 2-year Assistant Pro­ Western Illinois University sponsibilities will include undergraduate and fessorship positions starting September 1992, Macomb, IL 61455 graduate teaching, research, and curriculum and possible visiting positions for more senior The selection process will begin Febru­ development and oversight. Candidates with mathematicians for part or all of the academic ary 17, 1992. WIU is an equal opportu­ expertise in numerical analysis, combinatorics, year. nity/affirmative action employer. Applica­ or history of mathematics will be given prefer­ Applications should be sent to Professor tions are especially invited from minorities, ence. Neil S. Trudinger at the department address women and handicapped persons. Submit a letter of application, a curricu­ and include a curriculum vitae and three letters lum vitae, graduate and undergraduate school of recommendation. In order to ensure full transcripts. Also, arrange for three (3) letters consideration, an application must be received of recommendation, at least one (1) of which by February 15, 1992. addresses your research potential and at least Northwestern University is an affirmative one (1) of which addresses your teaching ability. All material should be sent to: action, equal opportunity employer committed INDIANA UNIVERSITY­ to fostering a diverse faculty, so women and Professor Daniel J. Troy PURDUE UNIVERSITY minority candidates are especially encouraged Department of Mathematics, to apply. Hiring is contingent upon eligibility to AT INDIANAPOLIS (IUPUI) Computer Science & Statistics work in the United States. Department of Mathematical Sciences Purdue University Calumet Hammond, IN 46323 The Department of Mathematical Sciences at Review of documents will begin on February IUPUI is seeking applicants for three tenure­ 15, 1992 and will continue until position is filled. track positions to begin in August 1992. Rank Minorities and Women are encouraged to apply. is open depending on qualifications. Applicants A representative of the Department will be inter­ must have an earned doctorate by the starting viewing at the Employment Register associated date, either a strong research record or excel­ with the Annual Meeting of the American Math­ lent research potential, and a commitment to ematical Society, Baltimore, Maryland, January UNIVERSITY OF ILLINOIS AT CHICAGO quality graduate and undergraduate teaching. 1992. Purdue University Calumet is an Equal Research/Teaching Fellow Some preference may be given to applicants in Opportunity/Affirmative Action Employer. Office for Mathematics discrete mathematics, scientific computing and and Science Education and applied statistics. However, strong applicants from all areas of mathematical sciences are Department of Mathematics, encouraged to apply. Statistics, and Computer Science IUPUI is a comprehensive urban university Full-time fellow in mathematics and mathemat­ with over 28,000 students. The department PURDUE UNIVERSITY CALUMET ics education. Responsibilities include teaching offers programs of study leading to Purdue University B.S., M.S., and Ph.D. degrees and one mathematics or mathematics education The Department of Mathematics, Computer Sci­ we anticipate significant growth in our faculty course per semester and working on the Teach­ ence, and Statistics announces a tenure-track during the next few years. The university offers ing Integrated Mathematics and Science (TIMS) position in mathematics education available for competitive salaries and provides excellent Project, a major NSF-funded curriculum de­ August 1992. Duties and responsibilities in­ fringe benefits. Send resume and three letters velopment project. One year renewable ap­ clude teaching a range of mathematics courses, of recommendation to Prof. Bart S. Ng, Chair, pointment. Qualifications: Master's degree in including content and methods courses for Department of Mathematical Sciences, IUPUI, mathematics or mathematics education. Doc­ prospective K-12 teachers, supervising field 1125 E. 38th Street, Indianapolis, IN 46205- toral degree preferred. Strong mathematics experience, and working collaboratively with 2810. Closing date: January 15, 1992. Late background and pre-college teaching experi­ public schools. Active involvement in research applications will be considered until positions ence preferred. Review of applications will is expected. A doctorate in Mathematics, or in are filled. begin February 1, 1992 and will continue Mathematics Education with at least a masters IUPUI is an Affirmative Action/Equal Oppor­ until the position is filled. Please send a degree in Mathematics, is required. Candidates tunity Employer. Women and minority candi­ curriculum vitae and three letters of reference should have a strong commitment to teacher dates are encouraged to apply. to Dr. Philip Wagreich, co-Director, Office for education and to quality teaching at both the Mathematics and Science Education (m/c 250), undergraduate and graduate levels. Submit a UIC Box 4348, Chicago, IL 60680. AAIEOE. letter of application, a curriculum vitae, graduate and undergraduate transcripts. Also, arrange for MANCHESTER COLLEGE three (3) letters of recommendation, at least one Faculty Position: Math. Tenure-track appoint­ of which addresses your research potential and ment beginning Fall1992. Ph.D. with emphasis at least one of which addresses your teach­ in applied mathematics. Expertise in computer ing ability. Review of applications will begin science desirable. Teach undergraduate math­ February 1 , 1992 and will continue until the ematics and possibly some computer science position is filled. All materials should be sent WESTERN ILLINOIS UNIVERSITY courses. Send letter of application, curriculum to: Professor J. Paul McLaughlin, Department Department of Mathematics vitae, and three letters of recommendation to Dr. of Mathematics, Computer Science, & Statis­ Stan Beery, Chair, Department of Mathematical tics, Purdue University Calumet, Hammond, Applications are invited for a tenure-track posi­ Sciences, Manchester College, North Manch­ IN 46323. Minorities and women are encour­ tion at the assistant professor level restricted to ester, Indiana 46962. Review of applications will aged to apply. Purdue University is an Equal the areas of Applied and Computational Mathe­ begin February 15, 1992. Manchester College Opportunity/Affirmative Action Employer. matics beginning Fall1992, subject to funding. is an AA/EOE. A Ph.D., or equivalent, is required. Commitment to superior teaching and potential for research

JANUARY 1992, VOLUME 39, NUMBER 1 67 Classified Advertisements

ROSE-HULMAN INSTITUTE ted to quality education and scholarship at a OF TECHNOLOGY comprehensive university. KENTUCKY Department of Mathematics Appointment is for the academic year begin­ ning in August 1992. Salary is highly compet­ BELLARMINE COLLEGE We anticipate two or more tenure-track open­ itive; fringe benefits are excellent. Application Department of Mathematics ings at the assistant professor or possibly higher screening begins February 14, 1992. For more rank in the fall of 1992. Applicants should have information contact Joel Haack, Mathematics Tenure-track position in Analysis beginning Fall a Ph.D. in mathematics or statistics, and a and Computer Science, University of Northern 1992. Ph.D. required. Should possess a dedica­ strong commitment to teaching at the under­ Iowa, Cedar Falls, lA 50614 (319)273-2631; tion to quality teaching at a liberal arts college. graduate level in addition to scholarly interests. [email protected]. Consideration will begin Feb. 1, 1992. Send Candidates with a background in statistics, op­ An affirmative action/equal opportunity edu­ letter of application, transcript and letter of rec­ erations research and/or applied mathematics cator and employer. ommendation along with vita to: Dr. Muzaffar are especially encouraged to apply. Letters of Ali, Department of Math and Computer Sci­ application, resume, copy of transcript, and ence, Bellarmine College, 2001 Newburg Road, three letters of recommendation (with at least Louisville, KY 40205-Q671. AA/EOE one of them addressing the applicanfs teaching ability) should be sent to George Berzsenyi, KANSAS Chairman, Department of Mathematics, Rose­ Hulman Institute of Technology, Terre Haute, IN EMPORIA STATE UNIVERSITY 47803. Division of Mathematics LOUISIANA Rose-Hulman Institute of Technology is an and Computer Sciences equal opportunity employer. LOUISIANA STATE UNIVERSITY Applications are invited for two tenure track Department of Mathematics Assistant Professor positions beginning August Baton Rouge, LA 70803; 504-388-1534 18, 1992. For one of the positions a degree in IOWA computer science or a significant background Applications are invited at the Assistant/Asso­ in computer science is desirable. The other ciate Professor level for two anticipated tenure­ IOWA STATE UNIVERSITY one is open to candidates from any area of track or visiting positions. Duties include teach­ Department of Mathematics mathematics. A Ph.D. is expected for either ing at the graduate and undergraduate level and position. While ESU has an emphasis on teach­ maintenance of a strong research program. Se­ Subject to the availability of funds, the Depart­ ing, the successful candidate should also have lection is based on demonstration and promise ment of Mathematics of Iowa State University an interest in continuing scholarly activity. The of excellence in research and teaching; a Ph.D. expects to fill one tenure track position at the Division of Mathematics and Computer Science or equivalent degree by August 1992 is also assistant professor level in applied partial dif­ offers undergraduate and graduate degrees required. The department is primarily seeking ferential equations for the 1991-92 academic in mathematics. Salary is commensurate with to build on its strengths in probability, analysis year. Start up funds will be av!iilable for the qualifications. Screening will begin on January and pde's, algebra, combinatorics, and topol­ successful applicant. The successful candidate 31 and continue until the positions are filled. ogy. To apply, send a full resume and arrange is expected to have a strong interest in teaching Send letter of application, resume, transcripts, for at least three letters of evaluation to be sent at both the graduate and undergraduate level and three letters of recommendation to: Joe to Professor Jimmie Lawson, Chair (address and maintain an active research program. Yanik, Search Committee Chair, Emporia State above). Iowa State is the closest member institution University, Emporia, KS 66801-5087. ESU is an LSU IS AN EQUAL OPPORTUNITY UNI­ to the NSF Institute for Mathematics and its Affirmative Action/Equal Opportunity Employer. VERSITY. Applications in Minneapolis. The Department We encourage applications from members of strongly encourages its faculty and graduate protected classes. students to participate in the Institute's programs and provides direct and indirect support for them to do so. UNIVERSITY OF NEW ORLEANS We will begin screening applications January Dean, College of Sciences 15, 1992. However we shall continue to accept KANSAS STATE UNIVERSITY Department of Mathematics The University of New Orleans, Louisiana's applications until the positions are filled. major urban public institution, is a compre­ A number of visiting positions in diverse Subject to budetary approval, applications are hensive, selective-admissions university in the areas of mathematics and applied mathematics invited for several tenure-track and visiting Louisiana State University System. Founded are expected to be available and applications positions commencing August 18, 1992; rank in 1958, it has 16,210 students, and 717 full for them are also encouraged. Preference will and salary commensurate with qualifications. and part-time faculty members. The College of be given to those applicants whose interests All fields will be considered, but for some of the Sciences consists of 7 departments: Biology, are similar to those of the current faculty. tenure-track positions, preference will be given Chemistry, Computer Science, Geology & Geo­ Iowa State University is an Affirmative Ac­ to candidates in Numerical Analysis, Differential physics, Mathematics, Physics and Psychology. tion/Equal Opportunity Employer. Women and Equations, and Global Analysis. Applicants All departments offer bachelor's and master's minorities are encouraged to apply. must have strong research credentials and a degrees, and Chemistry and Psychology offer Applications and three letters of recommen­ commitment to excellence in teaching. A Ph.D. the Ph.D. dation should be sent to Howard A. Levine, in mathematics or a Ph.D. dissertation accepted The screening committee is actively seeking Chair, Department of Mathematics, Iowa State with only formalities to be completed is required. applications and nominations. For more infor­ University, Ames, Iowa 50011. Letter of application, current vita, description of mation, address correspondence to: Dr. George research and three letters of recommendation loup, Chair, Screening Committee for College should be sent to: of Sciences Dean, Office of Academic Affairs, UNIVERSITY OF NORTHERN IOWA Louis Pigno Univ. of New Orleans, New Orleans, LA 70148. Assistant Professor of Mathematics Department of Mathematics Applicants should include a cover letter, cur­ Cardwell Hall 137 riculum vitae, and the names, addresses, and We have a tenure-track position for an assis­ Kansas State University phone numbers of three references. Review tant professor to aid in teaching our general Manhattan, KS 66506 of applications will begin February 3, 1992. education courses and to support our majors Deadline: February 1 , 1992 EEO/AA employer. and graduate students. Applicants should have a doctorate in mathematics and be commit-

68 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY ---"--·-"---·--~---·---,--@j"@!""@!J.@j'§jl•• ..wJ@j·!--l.il':l@!illf§ .•• J![c;\\ll~iJli]j,j\"I§JJr~----~····~~-~"--~-----" Classified Advertisements

UNIVERSITY OF SOUTHWESTERN plications will begin February 15 and continue UNIVERSITY OF MICHIGAN, LOUISIANA until the position is filled. DEARBORN Department of Mathematics Amherst College is an Affirmative Ac­ Univ of Michigan, Dearborn, Dept of Math and Lafayette, LA 70504-1010 tion/Equal Opportunity Employer and encour­ ages applications from minorities and women. Stat, Dearborn, Michigan 48128-1491. Depart­ The Department of Mathematics is actively Reply to: ment Chair Ronald P. Morash. The U of M-Dbn seeking applications for research/teaching po­ Professor Norton Starr plans to fill a tenure-track position starting in sitions in applied partial differential equations. Department of Mathematics Sept. 1992. It is at the Asst. or Assoc. Prof. A Ph.D. degree in mathematics is required. and Computer Science level and requires a Ph.D. in an area of Ap­ We anticipate one tenure-track appointment at Amherst College Box 2239 plied Mathematics. A research interest in an the Assistant Professor level, and one visit­ Amherst, MA 01002-5000 area of computational mathematics is preferred. ing position at the Assistant Professor level or send email to Teaching capability in applied mathematics is or above. Preference will be given to compu­ NSTARR@ Amherst.edu required. Interest in developing undergraduate tational mathematics, including familiarity with curriculum in Applied Mathematics, especially local computer networking, computer languages computational mathematics, is desired. The and software. A formal letter of application along teaching load is 9 credit hours per term. To with a resume and at least three letters of rec­ apply, send resume and have 3 letters of ommendation should be sent to Bradd Clark, recommendation sent to Ronald P. Morash, Chairman. EEO/AA. v~x.w=::::·m"'""""Ni"iC"'HiGAii'~·-"'"""'"''"""­ Chairman, Dept of Math and Stat. The Univ ;;cK:.&$$::::=;::=:7-::::-,~'f:.r~~·~;.<:\";Xi:'";SS~uw~.:..."\ill.:>.wo::~ of Mich-Dbn is an Equal Opportunity Employer MICHIGAN TECHNOLOGICAL UNIVERSITY and invites and encourages applications from Mathematical Sciences Department women and minorities. --=~MAfivtAND·""·"''*~~~-

~..-~~~~~'lS~:mt:i!m£~.1;;~~"'"".;:-w_.;,"~~,...~ The Department of Mathematical Sciences is Applied Sta­ UNIVERSITY OF MARYLAND seeking a tenure track position in tistics at the Associate or Full Professor level. UNIVERSITY COLLEGE The department currently offers Bachelor's and The University of Maryland University Col­ Master's degrees in Statistics. Applicants must --"~'""-"MiN'FJEsoT'A--~-m,_,_ lege seeks excellent teachers for openings on have established research, teaching, and fund­ ~~I!t>t:-.'mm.W>~=~;w;;m~ U.S. military bases overseas. Appointments be­ ing records and be able to provide leadership GUSTAVUS ADOLPHUS COLLEGE gin August 1992. Requirements include M.A. for an expanding statistics group. Duties include Tenure-track position beginning Sept. 19S2. or Ph.D., recent college teaching experience, teaching, research, and consulting. The position Ph.D. in math stat., stat expected. Ability to and U.S. citizenship. Competence to teach in starts in September 1992. Send a curriculum build stat. track in math/cs program, com­ another discipline desirable. Benefits include vitae and three letters of recommendation to mitment to excellence in teaching, contin­ transportation and military base privileges (PX, Recruitment Committee, Department of Mathe­ uing research interests in stats, operations commissary, etc.). Frequent travel and the cost matical Sciences, Michigan Technological Uni­ research or modeling, some c.s. preferred. of schooling make these positions difficult for versity, 1400 Townsend Drive, Houghton, Ml Women and minority candidates urged to apply. those with children. Send resume to: Dr. Ralph 49931-1295. Applications will be accepted until Send c.v., transcripts, 3 letters of reference E. Millis, Assistant to the President, Overseas February 3, 1992. MTU is an equal oppor­ by 31 January 1992 to: Dr. T. J. Morrison, Programs, The University of Maryland Univer­ tunity educational institution/equal opportunity Chair Math/C.S., Gustavus Adolphus College, sity College, College Park, MD 20742-1642. employer. St. Peter, MN 56082. Telephone: (507)933-7483 AA/EEO. or 933-7009. Email: [email protected] or [email protected].

MICHIGAN TECHNOLOGICAL UNIVERSITY Mathematical Sciences Department AMHERST COLLEGE The Department of Mathematical Sciences is HAMLINE UNIVERSITY Applications are invited for a visiting position seeking a director for the Fluids Research Professor/Director of in Mathematics, either part-time for the 1992- Oriented Group (F.R.O.G.). F.R.O.G. is an Science Development 93 academic year or full-time for the spring interdisciplinary group, involving Departments semester, 1993. of Mathematical Sciences, Mechanical Engi­ Hamline University seeks applications and nom­ Amherst College is a private, undergraduate neering, Chemical Engineering, Geology, and inations for a new senior-level interdisciplinary college which emphasizes both research and Metallurgical & Materials Engineering, engaged faculty position in the sciences. Departmental teaching. We attract bright students and have an in an active program of research in Fluid. Me­ affiliation will be in Biology, Chemistry, Mathe­ administration committed to a vigorous program chanics. This position will carry an appointment matics or Physics. We seek a person who has in mathematics. as Associate Professor or Professor. Candi­ a broad scientific background, a distinguished The Department of Mathematics and Com­ dates should have an active research record research record and is committed to teaching, seven mathematicians puter Science consists of in Fluid Mechanics and Applied Mathematics. development of grant proposals, and fostering and three computer scientists. Research facil­ A good funding record and experience with student-faculty research in a liberal arts college. ities include computers in most faculty offices Ph.D. students is required. The position starts in Nominations or applications (including letter of and a network of Sun workstations. Amherst September 1992. Send a curriculum vitae and interest with teaching philosophy and research College is part of a five college consortium that three letters of recommendation to Recruitment interests, salary and support expectations, cur­ also includes the University of Massachusetts Committee, Department of Mathematical Sci­ riculum vitae and three letters of reference) and Hampshire, Mount Holyoke and Smith Col­ ences, Michigan Technological University, 1400 should be sent to Jerry Greiner, CLA Dean's leges. There are numerous faculty seminars Townsend Drive, Houghton, Ml 49931-1295. Office, Ham line University, 1536 Hewitt Avenue, University, and Boston held at Amherst and the Applications will be accepted until February 3, St. Paul, MN 55104. Screening of applications is less than two hours away. 1992. MTU is an equal opportunity educational will begin January 31, 1992 and continue until a Applicants should hold a Ph.D. in mathe­ institution/equal opportunity employer. successful candidate has been chosen. matics. Please submit a vita, three references, and transcripts from both your graduate and undergraduate institutions. Consideration of ap-

JANUARY 1992, VOLUME 39, NUMBER 1 69 Classified Advertisements

theory, linear algebra, mathematical physics, have a Ph.D. in mathematics and be com­ MISSISSIPPI numerical analysis, and probability. In addition, mitted to teaching and research. Preference the Department participates with Computer Sci­ given to researchers in analysis, especially MISSISSIPPI STATE UNIVERSITY ence and Physics in a multidisciplinary Ph.D. harmonic analysis, Lie group representations, Department of Mathematics program in Scientific Computing. It is expected and functional analysis. If more than one ap­ and Statistics that the successful applicant will interact with pointment is made, researchers in the area the Hattiesburg mathematics faculty through of group theory will also be given preference. Applications are invited for two or more an­ colloquia and faculty interchanges. The suc­ The Department currently has 13 members, all ticipated tenure-track or visiting positions for cessful candidate may seek both promotion and of whom are active in research. Representa­ 1992-93. Candidates should possess a doctoral tenure through the Mathematics Department in tives of the Department will be present at the degree, demonstrate a strong potential for re­ Hattiesburg or the Division of Arts and Sciences joint mathematics meetings in Baltimore. Dead­ search, and have a commitment to effective at USM Gulf Coast. line for full consideration is 2/1/92. Send vita teaching. All areas are welcomed but prefer­ The salary is negotiable and competitive, (with email address if available) and three let­ ence will be given to the following: for the dependent upon qualifications. The starting ters of reference to Bradley Currey, Chair, Facul­ mathematics position(s), applied mathematics, date will be fall, 1992-93. While the application ty Search Committee, (email: curreybn@ computational mathematics, and partial differ­ deadline is open, selection may begin as early sluvca.slu.edu). Saint Louis University is an ential equations; for the statistics position(s) as February 1st. equal opportunity employer; minorities and multivariate analysis, nonparametric and robust Send resume and three letters of recommen­ women are encouraged to apply. inference, categorical analysis, and linear and dation to: Chair, Search Committee, Department nonlinear models. of Mathematics, University of Southern Missis­ The Department offers graduate programs sippi, Hattiesburg, MS 39406-5045. The Uni­ leading to the Master of Arts degree (M.A.) versity of Southern Mississippi is an affirmative and the Master of Science degree (M.S.) in action, equal opportunity employer. Applications SOUTHWEST MISSOURI both mathematics and statistics and the Doctor from women and minority group members are STATE UNIVERSITY of Philosophy degree (Ph.D.) in mathematical encouraged. Department of Mathematics. Applications are sciences. Facilities exist for applicants with invited for an anticipated tenure-track position interest in interdisciplinary research efforts and in Mathematics beginning Fall 1992 at the As­ in particular for applicants with an interest in sistant or beginning Associate Professor level. the computational aspects of the mathematical MISSOURI Applicants must have a Ph.D. by Fall 1992. sciences. Evidence of excellence in teaching, and a com­ MARYVILLE UNIVERSITY-ST. LOUIS Applicants should send a curriculum vitae mitment to continued research are required. and arrange for three letters of recommendation Mathematics Position Announcement Preference given to applicants with research in­ to be sent to: C. Wayne Mastin, Chairman, Maryville University invites applications for a terests compatible with those of the current fac­ Search Committee, Department of Mathematics ulty. Of particular interest are analysis and prob­ and Statistics, P.O. Drawer MA, Mississippi tenure-track assistant professor position in mathematics beginning August 1992. Ph.D. ability/statistics. (If additional positions should State, MS 39762. The committee will begin become available, all compatible areas would to review applications on March 1, 1992, and in mathematics required. Background and in­ be considered.) Duties include teaching, re­ continue until positions are filled. AA/EOE. terest must be compatible with the curricular needs of the mathematics undergraduate pro­ search, and service. Deadline for application is grams. In particular, qualified candidates should February 15, 1992. Credentials will be reviewed possess the ability to teach a wide range of as they are received. Send vita and graduate courses, both core and upper division for our transcripts, and have three letters of reference UNIVERSITY OF SOUTHERN MISSISSIPPI mathematics and/or actuarial science majors. sent to: Dr. John Kubicek, Acting Head, De­ Department of Mathematics Excellence in and strong commitment to teach­ partment of Mathematics, Southwest Missouri ing is expected. State University, Springfield, MO 65804-0094. Applications are invited for a tenure-track posi­ Women and minorities are encouraged to apply. tion at the assistant professor level. Candidates Maryville University-St. Louis, located in the Maryville Centre, along Highway 40 and AA/EOE. must have the Ph.D. in mathematics, the ability Woodsmill Road in West St. Louis County, is to establish a serious research program, and a sincere dedication to teaching. an independent, comprehensive, coeducational university with an enrollment of 3,528 students. The successful candidate will be based at Maryville offers liberal arts and professional Gulf Park, the branch campus which fronts MONTANA the scenic Gulf of Mexico in Long Beach, programs in more than 40 fields of study. Candidates should send a cover letter, Mississippi. This campus is 75 miles south detailed resume or vitae, as well as names, MONTANA STATE UNIVERSITY of the Hattiesburg main campus. As the sole Department of Mathematical Sciences full-time mathematician based at Gulf Park, the addresses and telephone numbers of three references to: successful applicant will select and schedule Tenure-track position, assistant professor level, Ms. Diana B. Dierberg mathematics courses on the Coast, and will to begin August 1992. The position should Director of Human Resources be actively involved in advising students pur­ complement the department's active Ph.D. suing the baccalaureate degree and M. Ed. MARYVILLE UNIVERSITY programs in applied numerical analysis and 13550 Conway Road in mathematics. Ideally the candidate should dynamical systems, with particular empha­ St. Louis, Missouri 63141 possess a people-oriented personality, for an sis on applied mathematics, control theory, important part of the position is to sustain and AA/EOE and geometric analysis. Requirements include Screening to begin February 15, 1992 and to nourish the mathematics program on the Coast. Ph.D. in Mathematics or related area, evi­ At present there are 25 majors working on continue until the position is filled. dence of strong research potential and teach­ degrees there. The teaching load is 9 credit ing skills. Send resume, name, address and hours per semester, including both undergradu­ phone number of three references to: K. ate and graduate courses, with the possibility of SAINT LOUIS UNIVERSITY J. Tiahrt, Department of Mathematical Sci­ a course release for research. Department of Mathematics ences, Montana State University, Bozeman, Those candidates whose research interests and Computer Science MT 59717-0240. Further information about complement those of the current faculty are es­ Saint Louis, MO 631 03 this position can be obtained by writing to pecially urged to apply. These interests include Dr. Tiahrt or sending email to: SWANSON@ algebra, combinatorics, differential equations, One or more tenure-track appointments, to DEIMOS.OSCS.MONTANA.EDU. Screening will graph theory, mathematics education, matrix begin in the Fall of 1992. Candidates should begin February 1 , 1992 and continue until a

70 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY ""·--~-~-··------~~----··-·---~--~----~~~-~~s,W".""i&i--~----~------Ciassified Advertisements

suitable candidate is hired. AA/EO employer. course in the instructor's specialty and in­ =mmo.,;_ _,~-­ Veterans preference. clude elementary, advanced and (at instructor's option) graduate courses. Nine-month salary ~W..;::&J§~~~v;;;:;:;wmw; of $34,000 supplemented by summer (resi­ STEVENS INSTITUTE

~~~~~~~~~¥~~~~1~revror~~-W'0W~~ dent) research stipend of $7,556 (two-ninths). OF TECHNOLOGY Send letter of application, resume, graduate ~~~~'W~~'f.U~mi1..¥1i-m"?-W.'ill:i'~0)[Cm':m:-.~ transcript, thesis abstract, description of other Applications are invited for a tenure-track posi­ UNIVERSITY OF NEVADA, RENO research activities and interests if appropriate, tion in applied mathematics at the Assistant or Department of Mathematics and 3 or preferably 4 letters of recommen­ Associate Professor level beginning Fall 1992. Chair Wanted dation (at least one should discuss teaching) Specialization in numerical analysis or proba­ to Phyllis A. Bellmore, Mathematics and Com­ bility or statistics is sought. Candidates must Do you have what it takes to lead a Math puter Science, 6188 Bradley Hall, Hanover, have demonstrated excellence in research or Department boldly into the future? Would you NH, 03755-3551. Applications received by Jan. the potential for such. Evidence of teaching ef­ welcome the opportunity to make an impact on 15 receive first consideration; applications will fectiveness is required (foreign applicants must an entire state? If you answered "yes" to these be accepted until position is filled. Dartmouth provide evidence of ability to teach in English questions, then UNA invites your application! College is committed to affirmative action and effectively). Applicants must have a Ph.D. in The Department of Mathematics is seeking strongly encourages applications from minori­ Mathematics earned or anticipated by 9/1/92. a dynamic, well-rounded individual to be its ties and women. Send letter of application, resume, and 3 let­ Chair. Currently the department has 15 faculty. ters of recommendation to: Lawrence E. Levine, Among these are three recipients of distin­ Head, Department of Pure & Applied Mathemat­ guished teaching awards and one outstanding ics, Stevens Institute of Technology, Hoboken, researcher award. More faculty members will NJ 07030. Stevens is an EO/AA employer. be added in the near future, and the chair will play a key role in making those hires. We offer B.A., M.S., and M.A.T.M. degrees in DARTMOUTH COLLEGE mathematics. We are committed to excellence in The Department of Mathematics and Computer teaching at all levels, especially in the university Science has an opening for a tenure-track wide core curriculum math courses. We are also Assistant Professor in Mathematics, with initial working to increase the quantity and quality of appointment in the 1992-1993 academic year. our research output. A candidate for the position must be committed We intend that this position be filled by NEW MEXICO STATE UNIVERSITY to outstanding teaching at all levels of the someone with the qualifications of a full profes­ Las Cruces, New Mexico undergraduate and graduate curriculum and sor, so an applicant must have a substantial and Department of Mathematical Sciences must give evidence of a well-regarded research continuing record of scholarly achievement, re­ program that shows real promise for the future. Possible visiting and tenure-track positions in search, and demonstrated interest in teaching. Candidates with several years of experience pure and applied mathematics and statistics Salary will be competitive and commensurate should in addition be ready to direct Ph.D. for 1992-93, primarily assistant professor level. with qualifications of the applicant. theses. Strong commitment to both research and teach­ Applications should include biographical in­ To create an atmosphere supportive of re­ ing required. Applications from women and formation and names, addresses (including search, Dartmouth offers new faculty members members of minority groups welcome. Applica­ email, if appropriate), and telephone numbers grants for research-related expenses, a quarter tions kept on file through hiring period. Arrange of five references. Please send to Don Pfaff, De­ of sabbatical leave for each three academic for vita, short research description, and three partment of Mathematics, University of Nevada, years in residence and flexible scheduling of reference letters to be sent to: Hiring Commit­ Reno, Reno, NV 89557, [(702) 784-6775; email teaching responsibilities. The teaching respon­ tee, Department of Mathematical Sciences, New address: [email protected]; FAX: 702-784-1478]. sibility in mathematics is four courses spread Mexico State University, Las Cruces, NM 88003. Review of applications will begin November 15, over two or three quarters. The department Equal Opportunity/Affirmative Action Employer. 1991; the search will continue until the position encourages good teaching with a combination is filled. of committed colleagues and bright, responsive, The University of Nevada, Reno is an Equal students. Opportunity, Affirmative Action employer and Applications are welcome in all fields of does not discriminate on the basis of race, mathematics and statistics; the department ex­ creed, color, sex, age, national origin, veteran pects to be able to give applicants more status or handicap in any program or activity information about departmental priorities after it operates. The University of Nevada employs completion of an application, curriculum vitae, only United States citizens or aliens lawfully COLLEGE OF STATEN ISLAND (CUNY) and a brief statement of research results and authorized to work in the United States. Department of Mathematics interests. Also arrange for four letters of refer­ ence to be sent, at least one of which addresses A tenure-track position in mathematics is avail­ teaching, and, if the applicant's native language able for Fall1992. Requirements: Ph.D., strong is not English, the applicant's ability to use commitment to undergraduate teaching and to English in a classroom. All application materi­ a productive research program. All mathematics DARTMOUTH COLLEGE als should be addressed to Phyllis Bellmore, research areas will be considered with special Recruiting Secretary, Mathematics and Com­ preference given to areas of strength within the John Wesley Young Research Instructorship puter Science, 6188 Bradley Hall, Dartmouth department. These areas include probability, in Mathematics. The John Wesley Young Re­ College, Hanover, NH 03755-3551. Applica­ group theory and applied mathematics. The search Instructorship is a two year postdoctoral tions completed by February 1 will receive position is budgeted at the assistant professor appointment for promising new or recent Ph.D.s first consideration. Dartmouth is committed to level. The College of Staten Island is a senior whose research interests overlap a depart­ Affirmative Action and encourages applications college in CUNY. Send resume and three letters ment member's. Current departmental interests from African Americans, Asian Americans, His­ of reference to Dr. Jane Coffee, Chairperson, include areas in algebra, analysis, algebraic panics, Native Americans and women. Specific Mathematics Department, College of Staten Is­ geometry, combinatorics, computer science, dif­ questions on the selection process can be land, 130 Stuyvesant Place, Staten Island, N. Y. ferential geometry, logic and set theory, number directed to C. Dwight Lahr, Recruiting Chair. 10301, by January 15, 1992. AA/EOE Employer. theory, probability and topology. Teaching duties of four ten-week courses spread over two or three quarters typically include at least one

JANUARY 1992, VOLUME 39, NUMBER 1 71 Classified Advertisements

DAEMEN COLLEGE three letters of reference sent, by April 1, 1992, Send letter of application, current curriculum vi­ Amherst, New York 14226 to: tae, three letters of current recommendation, Dr. Kenneth D. Magill and other supporting evidence to: The Department of Mathematics invites appli­ Chair, Statistics Search Committee Chair, Search Committee cations for a tenure-track position in mathemat­ 174 CFS Addition c/o Office of Personnel ics at the assistant professor level beginning State University of New York at Buffalo SUNY Plattsburgh September 1992. Candidate must have a Ph.D. Buffalo, New York 14214 Box 1733-401 in mathematics and must demonstrate a strong Email: mthmagil@ ubvms.bitnet Plattsburgh, New York 12901 commitment to teaching. Send a curriculum SUNY IS AN EQUAL OPPORTUNITY/AFFIRM­ vitae, three letters of recommendation and ATIVE ACTION EMPLOYER. graduate transcripts by March 1, 1992 to: Chairperson, Math. Department SUNY AT CORTLAND Daemen College 4380 Main Street Two Assistant Professors (Mathematics). These Amherst, New York 14226 are tenure-track positions. These positions en­ Daemen College is an Equal Opportunity, tail teaching a variety of mathematics courses Affirmative Action Employer. each semester, from the elementary to the YORK COLLEGE upper-division level, as well as taking part in Department of Mathematics departmental governance and student advise­ & Computer Studies ment. A doctorate in mathematics and evidence of strength in, and commitment to, undergrad­ Applications are invited for two tenure-track uate education is required. An interest in the positions at the assistant or associate professor preparation of secondary mathematics teachers level starting Fall 1992. Ph.D. in Mathematics, ITHACA COLLEGE will be valued, as well as research potential Computer Science, or a closely related field in mathematics or mathematics education. All required. Ability and interest in teaching excel­ The Department of Mathematics and Computer areas of specialization in mathematics or math­ lence, scholarly research, and commitment to Science at Ithaca College invites applications ematics education are encouraged to apply. professional growth in developmental mathe­ for one tenure eligible position in mathematics Applications for the positions will be accepted matics, mathematics, or computer science are beginning August 1992. Qualifications: Ph.D. untill January 31, 1992. AAIEEO Employer. expected. Areas of interest include: classical in mathematics, applied mathematics or statis­ Applicants should submit a letter of applica­ applied math, computational math, data struc­ tics in hand at time of application preferred; tion, vita, three letters of recommendation and ture & algorithms, database, computer graph­ applicants with Ph.D.expected by August 1992 all transcripts to: ics, networking, computer-based instructions: will also be considered. The successful candi­ Dr. Jalal Alemzadeh design, implementation & management of de­ date will be expected to demonstrate a strong Chair, Search Committee of livery systems. Salary ranges from $28,630 to commitment to undergraduate mathematics ed­ Mathematics Department $47,601 based on qualification and experience. ucation. Screening begins December 16, 1991 . State University of New York The application deadline is February 21, 1992. Send vitae to Dr. Diana D. Schwartz, Depart­ College at Cortland Candidates should send a letter of application, ment of Mathematics and Computer Science, P.O. Box 2000 curriculum vitae, and name, address, and phone Ithaca College, Ithaca, New York 14850. An Cortland, NY 13045 number of three references directly to Affirmative Action/Equal Opportunity Employer. Personnel Director York College, CUNY Jamaica, NY 11451 SUNY PLATTSBURGH AAIEOE. Math Faculty SUNY Plattsburgh invites applications for a STATE UNIVERSITY OF NEW YORK tenure-track position in the Department of Math­ AT BUFFALO ematics beginning Fall 1992. Appointment at Chairperson, Department of Statistics the level of Assistant Professor. Qualifications: Ph.D. in Mathematics, Math­ NORTH CAROLINA The Department of Statistics invites applications ematics Education or Statistics; evidence of for the position of Chairperson. Candidates teaching excellence and/or potential is of pri­ UNIVERSITY OF NORTH CAROLINA should have a Ph.D. degree in Statistics, mary concern, and potential for continued schol­ AT CHAPEL HILL Biostatistics or a closely related field. They arly growth is viewed as consistent with this Department of Mathematics should have a strong commitment to both concern. Chapel Hill, NC 27599-3250 research and teaching and, preferably, some SUNY Plattsburgh is a four-year college with experience in administration. approximately 5,500 students including over Applications are invited for one faculty ap­ The Department of Statistics offers the B.A., 100 mathematics majors. A significant number pointment effective Fall 1992. Rank and salary M.A., and Ph.D. degrees in Statistics. The re­ of these students are secondary education depend on qualifications and budget consider­ search areas of the faculty and the courses majors; approximately half of all math majors ations. Ph.D. in mathematics highly preferred, offered represent a wide variety of theoretical are female. The college and department have exceptionally strong research program and com­ and applied areas in statistics and probability. as top priority the quality of undergraduate mitment to excellent teaching required. Send The Department has recently affiliated with the education, from service courses and general curriculum vitae, abstract of current research School of Medicine and Biomedical Sciences. education as well as the upper level major program and four letters of recommendation to While it is not required that the research inter­ courses. Search Committee Chairman, Math. Dept., CB ests and professional background of candidates Plattsburgh is located in the northeast cor­ #3250 Phillips Hall, UNC at Chapel Hill, Chapel be exclusively, or even primarily, in biostatistics, ner of New York State, in close proximity to Hill, NC 27599-3250. EO/AA Employer. Women candidates should have some experience in Lake Champlain, the Adirondack Mountains and and minorities are encouraged to identify them­ this area, as the Chairperson will be expected Montreal. selves voluntarily. Completed applications re­ to provide leadership in the growth and devel­ WE ENCOURAGE CANDIDATES WHO ceived by February 15, 1992 are assured of full opment of such activities. SUNY/Buffalo is an CAN PROVIDE FEMALE OR MINORITY GROUP consideration. Equal Opportunity/Affirmative Action Employer. ROLE MODELS FOR OUR STUDENTS. Candidates should send a letter of interest, Closing date is January 31 , 1992, but appli­ curriculum vitae, and arrange to have at least cations will be accepted until the position is filled.

72 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY ---~·~·~~--~-~~-~··~···-··~··-~~--·~ ... ~~,,~,-·,·""' ,~,.~,,,_,,_,,,,,,,,,,_~~~··"" Classified Advertisements

UNIVERSITY OF NORTH CAROLINA least one about teaching) to Professor Robert M. areas. However, outstanding candidates in other AT CHARLOTTE McLeod, Chair, Search Committee, Department reated areas will also be considered. Department of Mathematics of Mathematics, Kenyon College, Gambier, OH The mathematics faculty offers B.S. and Charlotte, NC 28223 43022-9623. An Equal Opportunity Employer. B.A. degrees in Mathematics, an M.S. degree in Applied Mathematics, and collaborates in Several tenure-track positions at Asst/Assoc/ the Ph.D. program in Computer Science. In Prof level. Areas of preference are Probabil­ addition to campus and college computing ity, Statistics, Mathematical Physics, PDEIODE, THE UNIVERSITY OF TOLEDO facilities, the departmental research computing facilities include desktop computing for each Dynamical Systems, Analysis, Commutative Al­ Department of Mathematics gebra/Algebraic Geometry, Differential Geome­ faculty member, a network of 18 Sun servers Toledo, OH 43606 try and Differential Topology. Strong candidates and workstations, 2 DEC workstations, a BBN in other areas will also be considered. Possible The Department of Mathematics invites appli­ Butterfly, an Intel Hypercube, and a high­ visiting positions in all areas at any level or cations for a tenure-track position in statistics resolution 24-bit color graphics system on an postdoctoral positions. Rank and salary depend at the advanced assistant or associate level, Alliant FX-40. The department is also a member on qualifications. Ph.D. and a serious commit­ beginning in the fall of 1992. The department of NSF net. ment to teaching and research are required. currently offers bachelor's and master's degrees The department also has strong Computer Possible lecturer positions (non-tenure track, in statistics. Applicants are expected to have an Science research efforts in Artificial Intelligence M.A. or M.S. required) also. Send vitae, list established research record, be committed to and Knowledge Based Systems, Numerical of 4 references, and abstracts of research to excellence in teaching, and be willing to provide Learning Systems, Parallel Computing, Sci­ Alex Papadopoulos, Chair, Faculty Selection leadership for our statistics group. Applicants entific Computing, Databases, and Computer Committee, at the above address. Closing date: should send a curriculum vitae and three letters Graphics. The department is housed in the Col­ February 3, 1992, but all applications will be of recommendation to: Harvey Wolff, Chairman, lege of Engineering and Applied Mathematics, considered until the positions are filled. Department of Mathematics, The University of creating a strong opportunity for interdisciplinary UNCC is an Affirmative Action/Equal Oppor­ Toledo, Toledo, Ohio 43606-3390. Screening collaborations. tunity Employer and complies fully with the will commence at the beginning of February, but Applications will be evaluated beginning Immigration Reform and Control Act of 1986. applications will continue to be accepted until February 1, 1992. Late applications will be the position is filled. Applications from women accepted until the position is filled. Send vitae, and minorities are especially welcomed. The transcripts (for recent graduates), and three University of Toledo is an equal opportunity, letters of reference to: affirmative action employer. Dr. Richard A. Redner Search Committee Chairman CASE WESTERN RESERVE UNIVERSITY Mathematical and Computer Sciences Visiting Positions in University of Tulsa Mathematics and Statistics 600 S. College, Tulsa, OK 74104-3189 THE UNIVERSITY OF TOLEDO (email: [email protected]) The Department of Mathematics and Statis­ Department of Mathematics The University of Tulsa, an equal opportu­ tics anticipates at least two one-year visiting Toledo, OH 43606 nity/affirmative action employer, is committed appointments in Mathematics and Statistics, to diversifying its faculty and staff. Members Applications are invited for a visiting assis­ beginning July 1, 1992. Applications in all areas of underrepresented groups (people of color, tant professor position beginning in September of mathematics are invited. Preferred areas people with disabilities, women, veterans, etc.) 1992. Applicants should have a Ph.D. (or have include probability and statistics, global analy­ are strongly urged to apply. sis and geometry, dynamical systems, control completed all requirements for the Ph.D. by theory, functional analysis, partial differential Fall 1992) and be committed to excellence in equations, and numerical analysis. Women both teaching and research. Applicants should and minority group applicants are especially send a resume and arrange for three letters of encouraged to apply. Send vita plus three reference to be sent to Harvey Wolff, Chairman, letters of recommendation to Professor David Department of Mathematics, The University of Singer, Chairman, Department of Mathematics Toledo, Toledo, Ohio 43606-3390. The Univer­ and Statistics, Case Western Reserve Univer­ sity of Toledo is an equal opportunity, affirmative sity, Cleveland, OH 44106-7058. CWRU is an action employer. Affirmative Action/Equal Opportunity employer.

KENYON COLLEGE --OKLAHOMA -"""'"""""'"~"""'"'"" ~~~~~~~~'ey,i.;:!:S.?:::'~l.li:li~ Department of Mathematics UNIVERSITY OF TULSA ~'=""~ANTA--­ Applications are invited for a two year temporary Department of Mathematical position for the academic years 1992-1993 and and Computer Sciences 1993-1994. Applicants who have a Ph.D. in INDIANA UNIVERSITY OF PENNSYLVANIA mathematics or computer science by the end The Department of Mathematical and Com­ College of Natural Science of the summer of 1991 , or are in the final puter Sciences at the University of Tulsa invites and Mathematics stages of their doctoral work, are preferred. applications for tenure-track positions in Math­ Department of Mathematics The successful candidate will be expected to ematics beginning in Fall 1992. Salary is open Notice of Vacancy teach beginning programming in Pascal. It will and competitive. Responsibilities include teach­ Tenure-Track Position Beginning be an advantage to a candidate to be able to ing 6 hours per semester at the undergraduate September 1992 teach intermediate computer science courses. and graduate levels and continuing scholarly Moreover, teaching responsibilities may include activity. Minimum qualifications are a Ph.D. in Position: Assistant Professor of Mathematics in mathematics courses. This position is an entry Mathematical Sciences or a related discipline, a department which places a high priority upon level position, at the level of instructor or as­ and a strong commitment to teaching and re­ teaching excellence and expects faculty to be sistant professor, depending on qualifications. search. The Department has research programs professionally active. Applications will be reviewed beginning Febru­ in Numerical Analysis, Statistics, and Scientific Responsibilities: ary 1, 1992. To apply, send vita, graduate Computing and is seeking candidates in applied 1. To teach 12 semester hours of undergrad­ transcript(s) and three letters of reference (at mathematics who will support these research uate and graduate courses per semester. No

JANUARY 1992, VOLUME 39, NUMBER 1 73 Classified Advertisements

more than three different course preparations Mathematics/Statistics, and Geology/Planetary teaching load is 9 hrs/wk, with possibilities per semester will be required. Sciences in an AAU institution. It is a chance to for reductions through internal grants. The 2. To advise students and to serve on faculty direct, develop, and manage the services and salary is competitive. Applicants should send a committees. collections for two libraries in a dynamic teach­ vita and have three letters of recommendation 3. To participate in other academic and pro­ ing and research environment. The required sent to William L Golightly, Chairman, Depart­ fessional activities of the department, university, masters of library science may be waived at ment of Mathematics, College of Charleston, and the discipline. the time of appointment with the understanding Charleston, SC 29424. The process of evaluat­ 4. To participate in continuing scholarly that it will be acquired within three years of the ing applications will begin on January 13, 1992, activity. initial appointment. The University of Pittsburgh but applications will be considered until the po­ Qualifications: has an ALA-accredited School of Library and sitions are filled. The College of Charleston is an 1. Doctorate (or degree nearing completion) Information Science. Affirmative Action/Equal Opportunity Employer. required. REQUIREMENTS: 2. Teaching experience preferred. Degree in Physics, Mathematics, or related Review of applications will begin on January field. Familiarity with information sources and 15, 1992 and continue until position is filled. databases in these disciplines. Understanding UNIVERSITY OF SOUTH CAROLINA Applications must include a transcript, re­ of research process and ability to develop Department of Mathematics sume or curriculum vitae, the names, cur­ services needed by scientists; good communi­ The Department of Mathematics invites applica­ rent addresses and telephone numbers of five cation and interpersonal skills; ability to work tions for expected tenure-track faculty positions referees, one of who must be your current with and provide service to diverse populations. for Fall 1992, at all ranks. Applications in all employer/supervisor. Please send to: Search Candidates must demonstrate an interest in areas of mathematics will be considered. Re­ Committee B, Department of Mathematics, In­ librarianship. Masters in library science must be search is supported by excellent inhouse library diana University of Pennsylvania, Indiana, PA acquired within three years of appointment. and computing facilities. The Ph.D. degree or 15705, 412-357-2608. Rank of appointment as a faculty librar­ its equivalent is required. Appointments will be IUP is an affirmative action/equal opportunity ian would be commensurate with qualifications. consistent with the Department's commitment employer. Salary range: $25,00Q-$35,000. Applications to excellence in research and in teaching at the must be received in writing, including a resume undergraduate and graduate levels. A detailed and three letters of recommendation. Your let­ resume, containing a summary of research ac­ ters of recommendation should speak to your MILLERSVILLE UNIVERSITY complishments and goals, and four letters of suitability as an applicant for this position. The recommendation should be sent to: Department of Mathematics position will remain open until filled. Address re­ Dr. George F. McNulty, Chairman ply to: Secretary, Search Committee (Physics), Full-time tenure-track assistant professorship Department of Mathematics 271 Hillman Library, University of Pittsburgh, to begin August 1992, in a department of 20 University of South Carolina Pittsburgh, PA 15260. Columbia, SC 29208 faculty and over 225 math major-S. Primary The University of Pittsburgh is an Affirmative duties: leadership in developmental mathemat­ The University of South Carolina is an Action, Equal Opportunity Employer. Minorities ics, diagnostic techniques, remediation delivery Affirmative Action/Equal Opportunity Employer. are especially encouraged to apply. packages, teaching and placement, teaching through calculus, advisement curriculum de­ velopment, committees, and scholarly growth. Twelve-hour load per semester. Doctoral de­ RHODE ISLAND gree (or expected completion within one year) in mathematics, math education, or curriculum THE UNIVERSITY OF RHODE ISLAND UNIVERSITY OF TENNESSEE, and instruction with a mathematics background Mathematics Department at least through the master's level. Must exhibit Assistant Professor, Mathematics (two posi­ Knoxville, TN 37996-1300 evidence of strong commitment to excellence tions) Tenure-Track. Ph.D. in Mathematics re­ in teaching developmental mathematics, re­ quired at the time of hiring. Strong commitment The Mathematics Department of the University late well with developmental students and the to excellent teaching as well as strong research of Tennessee, in an effort to significantly improve wider university community, and be an effective accomplishments and/or research promise re­ its research position, seeks to fill a tenure-track teacher of math through calculus. Experience in quired. Applicants must have specialized in one assistant professorship in harmonic analysis, pre-university or urban teaching preferred. Ex­ of the following areas: combinatorics, differ­ several complex variables, function theoretic cellent salary-benefits. Full consideration will be ential equations, classical analysis, functional operator theory, differential geometry, numer­ given to applications received by 2/1/92. Send analysis, control theory, approximation theory. ical mathematics, theoretical probability and letter of application, vita, copies of transcripts, Submit a letter of application and vita, and stochastic processes. Employment begins Au­ and three letters of reference (at least two have three letters of reference sent by January gust 1992. Substantial research as well as ded­ which attest to your teaching effectiveness) to: 31, 1992 to: E. Suryanarayan, Search Com­ ication to teaching are paramount. Interested Prof. Marshall Anderson, Staff Search Commit­ mittee Chair, Assistant Professor, Mathematics applicants should arrange to have a vita, three tee Chair, Department of Mathematics AMS192, (two positions), (021139) Position, THE UNI­ reference letters, and a research statement MILLERSVILLE UNIVERSITY, Millersville, PA VERSITY OF RHODE ISLAND, P.O. Box G, sent to Professor John B. Conway, Mathemat­ 17551. AA/EOE. Kingston, Rl 02881. An Affirmative Action/Equal ics, University of Tennessee, TN 37996-1300. Opportunity Employer. Review of applications will begin December 1 and will continue until the position is filled. UTK is an EEO/AA!Title IX Section 504/ADA UNIVERSITY OF PITTSBURGH Employer. SOUTH CAROLINA PHYSICS/MATHEMATICS LIBRARIES The University of Pittsburgh is offeril')g COLLEGE OF CHARLESTON an opportunity for mathematicians/physicists/ Department of Mathematics TEXAS geologists to give serious consideration to a career in information/libraries. Applications are invited for at least one tenure­ ST. MARY'S UNIVERSITY We are seeking applications and nomi­ track position at the Assistant Professor level San Antonio, Texas nations for a Faculty Librarian position as beginning August 1992. Candidates must have Physics/Mathematics Librarian. The Librarian a Ph.D. in one of the mathematical sciences, The Department of Mathematics invites applica­ will be providing information and research ser­ a commitment to undergraduate teaching, and tions for a tenure-track position at the assistant vices for the departments of Physics/Astronomy, potential for continuing research. The normal or associate professor level beginning in the fall

74 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY -~----~-----~-----~------·····--··---······-----·~-~----!i!iR!i\!Jil!ilmJI!il!l!i!Siil!ilbll.BiR!il!ilaliiR!iliR!iiR!iiR!ilmJbllm:·---·----~------·~----­ Classified Advertisements

semester of 1992. Requirements include a doc­ THE UNIVERSITY OF iiliili;l~£.1'l,~~~!l'.t'k!.O:UT~~.~~ torate in mathematics or mathematics education TEXAS AT SAN ANTONIO and a strong commitment to both teaching at the ~~;wa::s:::~wsmm::::::::~&W::::::::mili:;::m.,.;,~~ undergraduate level and to continued scholarly The Division of Mathematics, Computer Sci­ UNIVERSITY OF UTAH activity. In addition the candidate should have ence, and Statistics will have one tenure-track Department of Mathematics an interest and, preferably, experience in inter­ position at the assistant professor level in action with local school districts and in using Mathematics, beginning August 1992. Although Invites applications for the following positions: technology in the teaching of mathematics. applicants in all areas of mathematics will be 1. At least two full time tenure track Send a letter of application including a considered, preference will be given to those appointments on the professorial levels. The statement of professional goals, resume, and candidates whose research areas are in applied Department is primarily interested in applicants three letters of reference to: or applicable analysis. Applicants should have who work in the research areas represented in Dr. S. Eugene Sims, Chair a Ph.D. degree in Mathematics by August 1992, the Department and who received their Ph.D. Department of Mathematics and should demonstrate strong potential for degrees prior to 1991 . Selection will be based St. Mary's University excellence in research and teaching. Respon­ on research and teaching ability. San Antonio, TX 78228-8560 sibilities include research, teaching, direction of 2. Two or more nonrenewable three-year The closing date for applications is February graduate students, and contributing to program Instructorships. Persons of any age receiving 24, 1992. St. Mary's University is an Equal development. Ph.D. degrees in 1991 or 1992 are eligible. Opportunity Employer. San Antonio, Texas is a scenic, dynamic Applicants will be selected on the basis of and fast growing city of rich cultural diversity. ability and potential in teaching and research. UTSA is the only public university in the city Starting salary will be $32,000; future cost of of San Antonio, and serves a metropolitan living increases are contingent on action by the community of approximately one million people. State Legislature. Duties consist of teaching five The university is viewed by the community as an courses during the three quarter academic year. important asset in the economic development 3. One C. R. Wylie Instructorship. The SOUTHERN METHODIST UNIVERSITY of the area. term of this instructorship is one year, but it Department of Mathematics Applicants should submit a resume and may be renewed for up to three years. It will arrange to have at least three letters of recom­ be awarded either to an incoming Instructor or The Department of Mathematics at Southern mendation sent to to one of the Instructors already in residence Methodist University invites applications for a Professor Shair Ahmad, Director on the basis of ability and potential in teaching senior level and a junior level tenure-track po­ Division of Mathematics, Computer and research. The stipend in $36,200. Duties sition, with employment beginning in Fall 1992. Science and Statistics consist of teaching four courses during the three The applicants must be active researchers, The University of Texas at San Antonio quarter academic year. must have a strong commitment to undergrad­ San Antonio, TX 78285-0664 4. One or more visiting faculty positions of uate teaching and must be ready to teach Email: [email protected] one year or less in any of the professorial ranks. advanced courses in the doctoral program in The closing date for receipt of applications Selection will be based on potential contribu­ applied mathematics, numerical analysis and for this position is January 31, 1992. UTSA is an tions to the department's research program, and scientific computation. The senior applicants Equal Opportunity/Affirmative Action Employer. on teaching ability. must have research interests in applied mathe­ Women and minorities are encouraged to apply. It is expected that offers of Instructorships matics and must be able to supervise doctoral will begin on January 1 , 1992, but applications dissertations. A strong grant record is also de­ for all positions will be accepted until January sirable. The junior applicants must be active in 31, 1992, or until all positions are filled. research in numerical analysis. The standard UNIVERSITY OF TEXAS Applications for any of these positions should teaching load is two courses (six hours) per AT ARLINGTON include curriculum vitae, bibliography and three semester. Department of Mathematics letters of reference. (Instructorship applications Departmental research interests include fluid should also include an abstract of the thesis mechanics, numerical analysis of differential The Department invites applications for two to and either a list of graduate courses completed positions begin­ equations, mathematical software, asymptotic three anticipated tenure-track or a transcript of graduate work.) Visiting faculty and perturbation methods, nonlinear waves, bi­ ning with the Fall Semester, 1992. We seek applications should indicate the portion of the Mathematics which are furcation theory, combustion theory, dynamical candidates in areas of three-quarter academic year during which the of the current faculty systems, and mathematical biology. Thirteen complementary to those applicant wishes to visit. Please send your ap­ of the sixteen faculty are applied or numerical and would enhance and support the goals of plication to Committee on Staffing, Department and rank are commen­ mathematicians. Senior faculty include W. E. the Department. Salary of Mathematics, University of Utah, Salt Lake which must include Ferguson (numerical partial differential equa­ surate with qualifications City, Utah 84112. The University of Utah is an tions), I. Gladwell (mathematical software), R. the Ph.D. degree or its equivalent (in hand or Equal Opportunity, Affirmative Action Employer 1992). Assistant Pro­ Haberman (nonlinear waves), G. W. Reddien received by September and encourages nominations and applications (numerical bifurcation theory), D. A. Reinelt fessor candidates must show strong potential from women and minorities. (fluid mechanics), and L. F. Shampine (numer­ for excellence in teaching and research. For Professorial appointment ical ordinary differential equations). Southern an Associate or Full have excellent teaching cre­ Methodist University has a 20 processor Se­ the candidate must dentials and a nationally established research quent Symmetry for research use. -~v""ERM'i5NT"'-""·',__, in attracting outside fund­ The application deadline is February 11 , record; some success ing is preferred. A resume with three letters of 1992. Send a letter of application and a vita to: UNIVERSITY OF VERMONT Professor I. Gladwell, Chairman, Department recommendation should bb sent to: Position in Mathematics of Mathematics, Southern Methodist University, Dr. Danny Dyer University of Texas Dallas, Texas 75275. (Tel: 214/692-2506). Ju­ The Department of Mathematics and Statis­ at Arlington nior applicants should arrange for three letters tics solicits nominations and applications to Department of Mathematics of recommendation to be sent to Professor fill a 2-year Visiting Assistant Professor posi­ Box 19408 Gladwell. tion in mathematics. Applicants should have a Arlington, Texas 76019-0408 SMU is an equal opportunity/affirmative ac­ Ph.D. in Mathematics or a related discipline ATTN: RECRUITING CHAIRMAN tion/Title IX employer. and demonstrated excellence in research and The University of Texas at Arlington is an teaching. Research interests must be compat­ Affirmative Action/Equal Opportunity Employer. ible with existing groups in the department, including algebra, number theory, and combina-

JANUARY 1992, VOLUME 39, NUMBER 1 75 Classified Advertisements

torics. Preference will be given to researchers in apply send curriculum vitae, copies of research in partial differential equations and continuum combinatorics and to those who have received papers and names of three referees. mechanics, would be helpful. Since the posi­ their Ph.D. in the last three years. Duties in­ Applications close February 15, 1992 but tion involves teaching duties of approximately clude teaching two courses per semester and late applicants will be considered until the six hours per week, there should be strong conducting research. Applicants should send a position is filled. Send all inquiries to: indications that the candidate is or will become vitae, description of research and three letters of Chair, High Performance Computing an effective teacher. Applicants should send a reference to: Personnel Committee, Department Search Committee vita and arrange to have three letters of refer­ of Mathematics and Statistics, University of Ver­ c/o Dean of College of Sciences ence submitted to Kenneth B. Hannsgen, Chair, mont, Burlington, VT 05401-1455. The deadline Old Dominion University Dynamical Systems Search Committee, Depart­ for applications is February 1, 1992; duties Norfolk, VA 23529-0162 ment of Mathematics, Virginia Tech, Blacksburg, begin in the Fall Semester 1992. UVM is an or [email protected] VA 24061-0123. Applications will be accepted Equal Opportunity/Affirmative Action Employer. Old Dominion University is an affirmative for as long as a position remains available but Minorities and women are strongly encouraged action, equal opportunity employer and requires no later than May 1, 1992. to apply. compliance with the Immigration Reform and Virginia Tech is an Equal Opportunity, Affir­ Control Act of 1986. mative Action Employer. In keeping with Virginia Tech's commitment to providing equal opportu­ nity for all, women, minorities, and the disabled are especially encouraged to apply. VIRGINIA POLYTECHNIC INSTITUTE AND STATE UNIVERSITY Department of Mathematics The Department of Mathematics at Virginia Tech VIRGINIA POLYTECHNIC INSTITUTE is seeking qualified applicants for a tenure-track position at the rank of Assistant Professor in the AND STATE UNIVERSITY area of Computational Mathematics/Numerical Department of Mathematics Analysis. The position should be available The Department of Mathematics is actively beginning with the 1992-1993 academic year. seeking applications for a tenure-track position A Ph.D. and strong research potential are in the area of discrete mathematics, combi­ VIRGINIA required. natorics, and graph theory beginning with the The Department currently includes a large 1992-93 academic year. Candidates with an OLD DOMINION UNIVERSITY group of Applied Mathematicians including a Senior Faculty Position interest in computing are especially encouraged number of numerical analysts and computa­ to apply. A Ph.D. and strong research poten­ tional scientists. Also, through the Interdisci­ The Department of Computer Science and the tial are required. Preference will be given to plinary Center for Applied Mathematics, mem­ Department of Mathematics and Statistics have candidates with postdoctoral experience. Appli­ bers of the Department have developed close an opening for a joint appointment in a senior cations will be accepted until March 15, 1992 collaborations with numerous scientists and position. We are seeking a research faculty or until the position is filled. Applicants should engineers throughout the University. We seek member to enhance our existing strong program send a curriculum vitae and arrange to have applicants who will be able to interact with the in High Performance Computing. The successful three letters of reference submitted to Chair, present staff and aid in the further development applicant must have a proven research and Discrete Math Search Committee, Department of the Computational Mathematics/Numerical grant record in some combination of Applied of Mathematics, Virginia Tech, Blacksburg, VA Analysis program in the Department. The posi­ Mathematics and High Performance Computing. 24061-0123. Women and minorities are en­ tion involves teaching duties of approximately The Computer Science Department has couraged to apply. Virginia Tech is an Equal six hours per week; thus, there should be strong a High Performance Computing Lab, which Opportunity/Affirmative Action Employer. indications that an applicant is or will become includes DAP and N-Cube machines, an inno­ an effective teacher. vative minor in High Performance Computing The deadline for applications is March 15, at the undergraduate level, and a highly suc­ 1992; after that date, applications will be en­ cessful graduate research group working in tertained only if the position remains unfilled. A parallel computation and parallel architecture. VIRGINIA POLYTECHNIC INSTITUTE curriculum vitae, description of research inter­ The Department of Mathematics and Statistics AND STATE UNIVERSITY ests, including a synopsis of the dissertation, has very active research groups in Continuum three letters of recommendation and any other Department of Mathematics Mechanics, Mathematical Biology and Numer­ supporting materials should be sent to Max ical Analysis/Approximation Theory. Research Applications are invited for a tenure-track po­ D. Gunzburger, Department of Mathematics, projects to develop computational models and sition in Geometry (differential or algebraic, or Virginia Tech, Blacksburg, VA 24061-0123. algorithms for parallel computers involve fac­ related areas) beginning Fall 1992. Because Virginia Tech is an Equal Opportunity, Affir­ ulty from both departments. In addition, there we seek applicants who will be able to de­ mative Action Employer. In keeping with Virginia are joint research efforts using computational velop a strong case for eventual promotion Tech's commitment to providing equal opportu­ and asymptotic methods in the areas of fluid and tenure, preference will be given to those nity for all, women, minorities, and the disabled dynamics and combustion. with postdoctoral or instructorship experience are especially encouraged to apply. These research groups are complemented and established research programs. Please by a strong network research group which send vita and brief description of research and concentrates on developing gigabit networks to have three letters of reference sent to Prof. support the distribution of remote supercomput­ VIRGINIA POLYTECHNIC INSTITUTE Frank Quinn, Chair, Geometry Search Commit­ ing services to local clients. AND STATE UNIVERSITY tee, Department of Mathematics, Virginia Tech, Blacksburg, VA 24061-0123. Applications will Both departments have established pro­ Department of Mathematics grams at the Bachelor, Master's and the Ph.D. be accepted until March 15, or until position levels. Standard equipment for faculty and Applications are invited for a tenure-track ap­ is filled. Virginia Tech is an Equal Opportu­ student offices includes a Sun workstation con­ pointment at the level of Assistant Professor in nity/Affirmative Action Employer. The University nected via ethernet and FDDI to other comput­ the general area of Dynamical Systems begin­ takes its affirmative action mission seriously and ing resources and Internet. Special equipment ning with the 1992-93 academic year. A Ph.D. is especially interested in receiving applications needs can be supported. Salary competitive. and strong research potential are required. A from women and people of color. Ph.D. in Applied Mathematics, Computer Sci­ likelihood of productive interaction with current ence or Computational Science preferred. To senior faculty members, such as the group

76 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Classified Advertisements

VIRGINIA POLYTECHNIC INSTITUTE expanding Mathematics Department. The Col­ lattice gas cellular automata techniques in the AND STATE UNIVERSITY lege seeks candidates who wish to participate context of geological, biological, atmospheric, Department of Mathematics in the building of a strong mathematics program oceanic, etc., phenomena. Experts who have and who would also look forward to developing already expressed an interest in participating The department invites applications in the interdisciplinary ties in a college-wide setting. in the development of this sub-theme with the area of partial differential equations. Applicants Applications, consisting of transcripts and program directors (J. Chadam, L. Glass and should have a strong theoretical background in three letters of reference, should be submitted W. Langford) include B. Matkowsky (Northwest­ partial differential equations and a demonstrated to: Dr. Thomas A. Brawner, Chairperson of the ern), G. Doolen, (Los Alamos), M. Golubitsky interest in applications. We are particularly in­ Division of Natural Sciences, Carthage College, (Houston), R. Kapral (Toronto), A. Lawniczak terested in applicants at the assistant professor Kenosha, Wl53140. Review of applications will (Guelph), W. R. Peltier (Toronto), P. Ortoleva level. Applicants should submit a curriculum begin on December 1, 1991. A representative (Indiana), G. Oster (Berkeley) and J. Tyson (Vir­ vitae and list of publications and arrange three from the department will attend the joint AMS­ ginia Polytechnic Institute). Other sub-themes letters of recommendation to be sent to Michael MAA January 1992 meetings in Baltimore and will be integrated into the Dynamical Systems Renardy, Chair, Applied POE Search Commit­ meet with interested candidates. Strong candi­ and Bifurcation Theory program. tee, Department of Mathematics, Virginia Tech, dates not able to attend the meetings will also Applications, including curriculum vitae, Blacksburg, VA 24061-0123. Applications ac­ be considered. should be sent to: cepted until March 15, 1992 or until position Carthage College is an equal opportunity Dr. J. E. Marsden is filled. Virginia Tech is an Equal Opportu­ employer and specifically invites and encour­ Director nity/Affirmative Action Employer. The University ages applications from women and minorities. The Fields Institute for Research takes its affirmative action mission seriously and in Mathematical Sciences is especially interested in receiving applications 6095 Mathematics and Computer from women and people of color. Building 200 University Avenue West Waterloo, Ontario THE UNIVERSITY OF WYOMING N2L 3G1 WEST VIRGINIA.··---~ Department of Mathematics Please arrange for three letters of reference Position in Mathematics to be sent directly from the referees. WEST VIRGINIA UNIVERSITY The Institute, funded by the Ministry of Col­ Department of Mathematics Applications are invited for a tenure-track po­ leges and Universities of Ontario and the Natural The Department of Mathematics intends to sition in Applied Mathematics or Analysis at Sciences and Engineering Research Council of make two faculty appointments at the Assistant the rank of assistant professor. Strong consid­ Canada, is a collaboration involving McMaster Professor rank that will commence August 1992. eration will be given to, but not limited to, the University, the University of Toronto and the Candidates are expected to have a Ph.D. in following areas: partial differential equations, University of Waterloo. Universities from across mathematics or equivalent with a strong record numerical linear algebra, applied functional Canada are being invited to join as affiliate or demonstrated potential in both research and analysis, and numerical analysis. Salary is com­ members. The successful applicants will join a teaching. Preference will be given to applicants petitive and commensurate with experience and group of about 50 researchers and postdoc­ whose research interests complement those qualifications. Candidates should demonstrate toral fellows brought together for collaborative currently in the Department. One appointment accomplishment and potential in research and research in the mathematical sciences, as well will be in analysis, applied analysis, or numeri­ teaching. as providing graduate training for students from cal analysis. The other, pending funding, will be Applicants should send vita, three let­ across Canada. in algebra or discrete mathematics. Normal re­ ters of recommendation, and brief descrip­ All Institute Fellows will have access to sponsibilities include research and a two course tion of his/her research plans to: Dr. John library facilities, computing facilities; a wide teaching assignment per semester at the grad­ George, Chairman, Department of Mathemat­ spectrum of mainframe and microcomputer uate or undergraduate level. Applications and ics, University of Wyoming, Laramie, Wyoming software and electronic mail. In addition, Junior inquiries should be directed to Michael Mays, 82071. Email inquiries should be sent to Fellows will be eligible for a small research Department of Mathematics, West Virginia Uni­ [email protected]. Applications grant. The Fields Institute for Research in Mathe­ versity, Morgantown, WV 26506. Applicants completed by January 15, 1992 will receive should submit a vita and have three letters of first consideration. The University of Wyoming matical Sciences is supported by The Ministry reference sent. To insure consideration, applica­ is an AA/EOE. of Colleges and Universities of Ontario and the tion materials must be received by January 15, Natural Sciences and Engineering Research 1992. WVU is an affirmative action/equal oppor­ Council of Canada. tunity employer. Qualified women and minorities are especially encouraged to apply.

THE FIELDS INSTITUTE FOR RESEARCH IN MATHEMATICAL SCIENCES WISCONSIN The Fields Institute for Research in Mathemat­ NATIONAL CENTRAL UNIVERSITY CARTHAGE COLLEGE ical Sciences invites applications for Institute Department of Mathematics Kenosha, Wisconsin Junior Fellowships for the 1992-93 program Chungli, Taiwan, R.O.C. year. Candidates should possess a Ph.D. de­ Applications are invited for two tenure-track gree in mathematical sciences and have a Positions of Professors, Associate Profes­ Assistant Professor positions, to begin Fall strong research record. Partial support may sors, and visitors are available. Annual salary 1992. A strong general mathematical back­ also be available for a limited number of more US$30,000 for new Ph.D. Reasonable teaching ground, including a Ph.D. is expected. One of senior Institute Fellows working in the program load. Teaching in English is acceptable. Mathe­ the positions requires an interest in probabil­ area. maticians with research interest of Algebra, Ge­ ity and/or statistics. Commitment to excellence For the 1992-93 academic year the topics ometry, Probability, Statistics, and Computing in undergraduate instruction, continued mathe­ of concentration will be Dynamical Systems Mathematics are especially wanted. Very good matical scholarship and development of inde­ add Bifurcation Theory. Part of the program library and computing facilities. Please send pendent student mathematical work is required. will be devoted to the study of Pattern For­ vita, letters of recommendation, and copies of Carthage College is a liberal arts college lo­ mation in Dynamical Systems from several research work to Chairman. cated on Lake Michigan between Chicago and viewpoints including partial differential equa­ Milwaukee, with a growing enrollment and an tions, symmetry/group theoretic methods and

JANUARY 1992, VOLUME 39, NUMBER 1 77 ------~---·------~---~Classified Advertisements

y::'!:!M...~;.:?.o;.·~·.l:~!==;.:;,·.:.:~.:~mt:.~~'ffl$$f(.~·:.::.~x=·:·;m·» NATIONAL CHUNG CHENG UNIVERSITY ITALY Institution of Applied Mathematics L&.~~·UBLICATIONS FOR SALE Taiwan, R.O.C. SISSAIISAS, TRIESTE Applicants are invited for Visiting Professors Postdoctoral Positions or Assistant Professors in the area of Partial The International School for Advanced Studies Aegean Park Press, P.O. Box 2837, Laguna Differential Equations, Statistics and Numerical (SISSA/ISAS) in Trieste expects to offer a Hills, CA 92654 is publisher of books concerning Analysis from 1 August of 1992. A degree of number of postdoctoral positions in the following coding, shift register sequences, data encryption Ph.D. in Math. is required. Applicants should fields: standard, statistics and probability pertaining to send a curriculum vitae, reprints of published Nonlinear analysis cryptology. Write or call for list of all books. paper (or accepted for publication), and three Geometry (714)586-8811. In U.S. toll free (800)736-3587. letters of recommendation to Professor C. S. Mathematical Physics Lin, Chairman, Department of Mathematics, Theoretical Particle Physics National Chung Cheng University, Ming-Hsiung, Theory of Condensed Matter Chia-Yi, Taiwan, Republic of China. Fax number: Theoretical Astrophysics and Cosmology 011-8865-272-0497. Neurophysiology or Molecular Neurobiology The teaching duty is at least 6 hours per These positions will be available from the week and the deadline for receipt of complete Fall of 1992 for one year and renewable for MATH SCI PRESS, 53 Jordan Rd., Brook­ applications is 15 March of 1992. a second year. Candidates should submit their line, MA 02146, 617-738-0307. GEOMETRIC applications by 31 January 1992 with their STRUCTURES AND NONLINEAR PHYSICS, Curriculum Vitae, list of published works and $95. GEOMETRIC COMPUTING SCIENCE, their research programme. They should arrange $85, both by R. Hermann. Under develop­ for 3 letters of reference to be sent by the same ment: DEFORMATION THEORY IN PHYSICS date. AND COMPUTING SCIENCE. Lecturing and Applications and correspondence should be Consulting available. sent to: Postdoc programme International School for Advanced Studies .. ,~.. ~~""""''""""'"""''"'G'irfiMA:i\iv~-,··~""'·~~·" Via Beirut 2-4 ">m>P.i:'~~-~·=~:':%:::«)1[15l!$ Sll&iS:.~~-... ~;:.:.:;$.":;2i~~l 34014 TRIESTE UNIVERSITAT BONN Zentralblatt fiir Mathematik Band 1 (1931) Research Institute of through Band 23 (1941) plus Index (Band 24 and Band 25). Mathematical Reviews (194o- Discrete Mathematics ····~·,·····,·~... - ... TEirANo~""''"""'~··'"".. " 1991 ). Mint condition. Cal.l 203-633-3798. Director: Professor Bernhard Korte ;:;;:::.':W1!.'.".11JC'.r;>'Y.il',:>n:":::<.:!:::·:·:x~>:'>.:~:se;..·:·;:.:':f'==:;.:;..·.';.··:;.'1.Y!t't"»t»W:;.::;'faff::."3.:::;;;-;::.~:··.~>.<: Postdoctoral Fellowships AMERICAN UNIVERSITY OF BEIRUT in Discrete Mathematics The Department of Mathematics at the Amer­ The Research Institute of Discrete Mathematics ican University of Beirut in Beirut, Lebanon announces three Postdoctoral Fellowships for (AUB) invites applications for faculty posi­ tions at the level of Assistant Professor or the academic year 1992-1993. PUBLICATIONS WANTED These awards are intended for young math­ above, available October 1, 1992. Candidates ematicians and computer scientists with excep­ with specialization in the following fields are tional research promise in Discrete Mathematics sought: Analysis, Probability Theory, and Topol­ and its applications. The postdoctoral fellows ogy. Applicants in other disciplines will also be Wanted: Mathematical books, journals, reprints, will be able to take part in all research activities considered. ephemera. Contact R. K. Dennis, Math. Dept., of the Institute, but the teaching of one graduate Applicants should hold the Ph.D. degree and White Hall, Cornell U., Ithaca, NY 14853-7901. course per semester is expected. are expected to teach undergraduate courses Tel: 607-255-4027, FAX: 607-255-7149. email: The award will range between DM 36,000 and to be committed to research. Postdoctoral dennis@ mssun7 .msi.cornell.edu and DM 39,600 for the academic year depend­ experience is preferred. ing upon qualifications and experience, and is Appointments are normally made for a three­ not subject to German income tax. year period. AUB is an EO/AA employer. Applications should include a curriculum Interested persons may send their curricu­ vitae, a bibliography, two letters of reference, lum vitae and three letters of recommendation and a research plan. To be eligible for one of the before April 15, 1992 to the Dean of Arts and 1992-1993 fellowships, please send a complete Sciences, c/o New York Office of the American We buy periodicals in mathematics and many application at your earliest convenience, but not University of Beirut, 850 Third Avenue, New other subjects. Please call 1-(800) 521-0061 later than February 28, 1992, to: York, New York 10022, USA. or (713) 556-0061. Lists of available material Professor B. Korte, Research Institute of Dis­ U.S. passports are presently invalid for travel may be sent to fax number (713) 556-1406 crete Mathematics, University of Bonn, Nasses­ to, in or through Lebanon, and for residence in or to: Research Periodicals & Book Services, trasse 2, D-5300 Bonn 1 , Germany. Lebanon, by order of the Department of State, Inc., P.O. Box 720728, Houston, Texas 77272, and therefore applications from individuals who U.S.A. would travel to or reside in Lebanon on a U.S. passport cannot at this time be considered.

78 NOTICES OF THE AMERICAN MATHEMATICAL SOCfETY Applications and nominations are invited for a full-time position as an Associate Editor of Mathematical Reviews (MR), to commence on or about May 1, 1992 and continue for a term of two years. An individual with considerable breadth in pure or applied mathematics is sought and preference will be given to those applicants with expertise in number theory, Lie algebras and Lie groups, complex analysis and global analysis.

The Mathematical Reviews office of the American Mathematical Society is located in Ann Arbor, Michigan, not far from the campus of the University of Michigan. The editors, although employees of the AMS, enjoy many privileges at the University. At present, MR employs fifteen mathematical editors, about six consultants and over sixty nonmathematicians. It produces Mathematical Reviews, Current Mathemati­ cal Publications, various indexes, the on-line service MathSci and MathSci Disc. The responsibilities of an Associate Editor fall primarily in the day-to-day operations of selecting articles and books suitable for review, classifying these items, assigning them to reviewers, editing the reviews when they are returned, and correcting the galley proof. The ability to write good English is essential and the ability to read mathematics in major foreign languages is important. (The ability to read mathematical articles in Russian or Chinese is especially desirable.)

The twelve-month salary is negotiable and will be commensurate with the experience the applicant brings to the position. Persons interested in this position are encouraged to write (or telephone) for further information. Persons interested in taking leave from an academic appointment to accept the position as Associate Editor are encouraged to apply.

Applications (including curriculum vitae, bibliography and name, address, and phone number of at least three references) and nominations should be sent to:

Dr. G. J. Janusz, Executive Editor Mathematical Reviews P. 0. Box 8604 Ann Arbor, MI 48107-8604 Telephone: 313-996-5255 FAX: 313-996-2916 INTERNET: [email protected]

Interested applicants are urged to inquire without delay.

The American Mathematical Society is an equal opportunity employer. Mathematica Across the Curriculum Workshops at Vanderbilt University Summer 1992

Mathematica software from Wolfram Research enables significant new approaches to teaching any discipline where mathematics is important. Vanderbilt University will host a series of workshops designed for collegiate faculty, on using Mathematica in various SCHOOL OF MATHEMATICS disciplines. The sessions will be led by Vanderbilt faculty with experience in using Mathematica in instruction. The workshops will RESEARCH ASSOCIATE make extensive use of Vanderbilt's electronic classroom, and each (LEVEL A RESEARCH STAFF) for the workshop will therefore be limited to thirty participants. project "THE SINGULARITY STRUCTURE For more information, please write Mathematica Workshops, Box OF SOLITON EQUATIONS" 1577 Station B, Vanderbilt University, Nashville, TN 37235; call Applications are sought for a Research Associate position funded by the Australian Research Council to work with Dr Nalini Joshi on the above project. The aim of the project is to rigorously 615-322-2951; or send a message via electronic-mail to InterNet, justify a conjecture on the complex analytic properties of solutions of nonlinear exactly solvable [email protected]. For first consideration, partial differential equations. Applicants should have a PhD (or equivalent) In mathematics. Expertise in partial differential please make a reservation with Vanderbilt by March 16, 1992. The equations or soliton theory would be highly regarded. workshop series is supported in part by a grant from the Pew The position is available for a fixed term of up to three years from 1 January 1992. Applicants should include information on their academic qualifications, a description of their Charitable Trusts, and there is a $100 registration fee. Faculty from dissertation and recent publications, and the names of three academic referees with their historically black institutions are especially welcome. applications. Salary is in the Research Staff Level range: A$34,953 to A$38,950 per annum. Further information from Dr Nalini Joshi on (lntemational) 61 2 697-2983 (office), 61 2 662-6445 June 1 - 5: Physics, including optics & quantum mechanics (fax) on 61 2 697-2961 (messages), or [email protected] (e-mail). June 8 - 12: Mathematics, including calculus, differential Applications close 24 January 1992. equations, and & linear algebra PLEASE QUOTE Ref. 601 XX. June 15 - 19: Developing Courseware, assumes experience with Mathematica Please submit wrilten application, QUOTING REFERENCE NUMBER, and Include June 22 - 26: Mathematics (repeat of June 8-12) business and private telephone numbe11, lllgefher with the llllllfiS, addresses (and preferably fllcsimile numbels} ol at least lwD refen!es, cutriculum vitae and lranSc:ript June 29 - July 3: Developing Courseware (repeat of June 15 - of ICIIIemlc I'IICOIIIIo: The Rectultmenf Oftic:er, Staff Office, PO Box 1, Kensinglon, 19) NSW 2033, AUS1RAUA. People from l8lgefed EEO gnJUpS 111t1 8IICOIIl'II!J8d fllapply. July 13- 17: Physics (repeat of June 15 - 19)

1U~DIMACS Series in Discrete Mathematics and Theoretical Computer Science The Series VolumeS This stimulating and useful series covers the newest Reliability of Computer developments in these fields and Communication Networks Frank Hwang, Clyde Monma, and Fred Roberts, Editors • Discrete and computational geometry • Discrete optimization This workshop, held at Rutgers University, emphasized the latest trends and important open problems concerning the reliability of • Computational number theory and cryptology increasingly complex modern systems of telecommunications, • Finite groups and permutation groups information transmissions, transportation, and distribution. Partici­ • Recursive function theory and mathematical logic pants of the workshop included theoretical mathematicians, computer • Boolean functions scientists, and electrical engineers from academia and industry. The success of the workshop in fostering many new interactions among researchers and practitioners is reflected in the proceedings, which provide an exciting look at some of the major advances at the All prices subject to change. Free shipment by surface: for air delivery, please add forefront of this important field of research. $6.50 per title. Prepayment required. Order from American Mathematical Society, P. 0. Box 1571, Annex Station, Providence, RI 02901-1571, or call toll free 1991 Mathematics Subject Classifications: 05, 68, 90, 94 800-321-4AMS in the continental U.S. and Canada to charge with VISA or MasterCard. ISBN 0-8218-6592-7,259 pages (hardcover), 1991 Ust price $43, Institutional member Please add 7% GST to all orders being shipped to Canada. $34, Individual member $26. To order specify DIMACS/5NA INSTITUTE FOR MATHEMATICS AND ITS APPLICATIONS University of Minnesota 514 Vincent Hall 206 Chw-ch Street S.E. Minneapolis, Minnesota 55455 FAX (612) 626-7370 telephone (612) 624-6066 ima-staff%ima.umn.edueumnacvx.bitnet :ima-Bta:f:ftima .111Ul. edu IMA Summer Program ENVIRONMENTAL STUDIES: MATHEMATICAL, COMPUTATIONAL, AND STATISTICAL ANALYSIS July 6 - 31, 1992 ORGANIZERS Mary Wheeler (Chair), Julius Chang, Michael Ghil, David McTigue, John Seinfeld, Paul Switzer THE RATIONALE Environmental studies have now bridged the realms of academic research and societal applications. Mathematical modeling and large-scale data collection and analysis lie at the core of all environmental studies. Unfortunately, scientists, mathematicians, and engineers immersed in developing and applying environmental models, computational methods, statistical techniques and computational hardware advance with separate and often discordant paces. The IMA Summer Program on Environmental Studies is designed to provide a much needed interdisciplinary forum for joint exploration of recent advances in this field. THE PROGRAM A. Weeks 1 and 2 (July 6-17): Environmental models B. Weeks 2 and 3 (July 13-24): Environmental data and assimilation C. Weeks 3 and 4 (July 20-31): Stochastic modeling and optimization D. Week 4 (July 27-31): Global climate modeling The overlap in each segment of the program is intended to increase interaction among scientists and mathematicians working in specified areas. During the program there will be (as well as the theoretical and applied research talks and informal discussions) ten expository talks setting the physical and mathematical reference point for each type of environmental model or analysis. PARTICIPATION Some partial support is still available for researchers (including graduate students) who are, or wish to become, familiar with the subject. Preference will be given to those who participate in the entire program. For details concerning support or participation write to Avner Friedman, Director.

IMA Summer Program for Graduate Students MATHEMATICAL MODELING August 3 - 28, 1992 THE GOALS (1) To expose 30 graduate students in mathematics and applied mathematics to mathematical modeling of problems which come from industry and engineering sciences, and to impact on them the excitment of solving real-world problems. (2) To create an environment whereby the students will get to know each other and will develop contacts which will enhance their future research. THE METHOD Each Monday morning 3 problems will be posed to the whole class by the 3 tutors, with brief general background. Then the students will be organized into 3 groups and each will concentrate on one of the problems for the rest of the week. The students will develop a mathematical model as independently as possible, with guidance as needed. Then they will work on the mathematical analysis of the problem, including numerical methods. Team work will be encouraged and each group will be guided by a tutor. By Friday afternoon, each group will report to the whole class on their progress and possible future directions. There will be 3 new problems weekly. Students are expected to participate in the entire four week program. THE TUTORS Mary Brewster (University of Colorado), DonaldS. Cohen (California Institute of Technology), Julian D. Cole (Rensse­ laer Polytechnic Institute), Donald Drew (Rensselaer Polytechnic Institute), Patrick Hagan (Los Alamos National Labora­ tory), Ash Kapila (Rensselaer Polytechnic Institute), Joseph B. Keller (Stanford University), Colin Please (Southampton University, England) APPLICATION PROCEDURE Graduate students in mathematics and in applied mathematics can be nominated for this program by their department chairpersons. A letter of recommendation from the chairperson and from each student's advisor is required, as is a transcript. Prerequisite skills: some ODE and PDE, computational experience and some physics background. The IMA will cover local living expenses but students will be expected to finance their travel from other sources. (IMA Partici­ pating Institutions may use their PI funds for this purpose.) All correspondence should be sent to MATHEMATICAL MODELING, C.O. AVNER FRIEDMAN, DIRECTOR at the above IMA address before March 1, 1992. PARTICIPATING INSTITUTIONS:Georgia Ins'i'ule of Technology, Indiana University, Iowa Slale UniversHy, Kenl Stale University, Michigan S'ale University, Northern Illinois University, Northwedern 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.), Univershy of Iowa., University of Kentucky, University of :Manitoba, Univeraity of Maryland, Univeuity of Michigan, University of Minnesota, University of Notre Dame, University of PiUs burgh, Wayne State University ~~~i~~IPATING CORPORATIONS:Bellcore, Cray Research, Easlman Kodak, Ford, General Motors, Hila.chi, Honeywell, IBM, Kao, Motorola, Siemeno, 3M, Help your students discover more me · relationships. Again in '92: a free classroom display device with purchase of 30 calculators. Showing is much more powerful than telling. So we've developed special classroom displays for our most advanced calculators. The HP 48SX scientific expandable calculator and the cost-effective HP48S are designed to put your students on the cutting edge of calculus and engi­ neering. With more built-in functions and graphics solutions than any other calculators. If your department or students pur­ chase 30 HP 48SX or HP 48S calcula­ tors (or a mix of both), we'll give you free an HP 48SX and plug-in classroom display (a$900 retail value). So call (503) 757-2004 from 8am to 3pm PDT for details. Or write: Calculator Support, Hewlett-Packard, 1000 NE Circle Blvd., Corvallis, OR 97330. Offer ends December 31,1992, and applies only to college and high school instructors.

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0UASI·SYMMETRICAL DESIGNS REPRESENTATIONS AND Nm, TERMS AND FORMULAS Mo1uJn S. Shrildulfule and COHOMOLOGY OF FINITE Three Views of Concurrent Processes S1uJra.ll S. Sa.ne CROUPS and their Relationship LONDON MATHEMAnCilL SOCIBTY LBCI'lJRB Volume 1: Basic Representative E.-R. OWerog NomSBRIBS164 Theory of Finite Groups and CAM.BRIDGE 7BA.CTSIN THBORBTICilL 1992 240 pp. 41407-5 Paper $29.95 COMPUTER SCIENCE 2.3 Associative Algebras 1991 274 pp. 40044-9 Hardcover $49.95 TOPICS IN VARIETIES OF GROUP D. J. Benson REPRESENTATIONS CAMBRIDGE STUDIES IN ADVANCED ADVANCED CENERAL MA77JBMA17CS .30 Sa.•flfll M. Vot1si 1991 235 pp. 36134-6 Hardcover $39.50 RELATIVITY LONDON MATilBMA17CilL SOCIBTY LBCI'lJRB John Ste.a.rt NomSBRIBS163 REPRESENTATION THEORY AND CAM.BRIDGE MONOGRAPHS ON 1992 200 pp. 42410-0 Paper about $34.95 MATimMA17CAL PHYSICS COHOMOLOGY 1991 236 pp. 32319-3 Hardcover $49.50 LECTURES ON ELLIPTIC CURVES Volume 2: Cohomology of J. W. s. CIIBBels Groups and Modules THE INTERACTING BOSON· LONDON MATilBMA17CilL SOCIBTY STUDENT D. J. Benson FERMION MODEL TBxTS24 CAMBRIDGE STUDIES IN ADVANCED .P. and 1992 143 pp. 41517-9 Hardcover $59.95 MATilBMA17CS .31 Ia.ehello 42530-1 Paper $22.95 1991 288 pp. 36135-4 Hardcover $59.95 P. Va.n Isa.ek.er CAM.BRIDGE MONOGRAPHS ON MATifBMA11CAL PHYSICS MATROID APPLICATIONS PERTURBATION METHODS 1991 322 pp. 38092-8 Hardcover $75.00 Edited by N. WIJite E. J. Hinel• ENCYCLOPEDIA OP MA77JBMA17CSAND ITS CAMBRIDGE TExTS IN liPPLIBD ATTRACTORS FOR SEMI·GROUPS APPLICATIONS 40 MA'I'HEMA17CS 6 1992 350 pp. 38165-7 Hardcover about 1991 17lpp. 37310-7 Hardcover$59.50 AND EVOLUTION EQUATIONS $69.95 37897-4 Paper $24.95 Olga. La.lly%hensk.a.ya. LEZlONI LINCBB LECTURES MANIFOLDS WITH WHAT'S YOUR GAME? 1991 84 pp. 39030-3 Hardcover $39.95 SINGULARITIES AND THE Mie1uJel Corneliflll and 39922-X Paper $16.95 ADAMS·NOVIKOV SPECTRAL AhlnPa.rr ...----Now in paperback ... ----. 1991 160 pp. 38625-X Paper $14.95 SEQUENCE TwiSTOR GEOMETRY AND Boris I. Botvinnik. COHOMOLOGICAL METHODS IN FIELD THEORY LONDON MATimMA17CilL SOCIBTY LBCI'lJRB Nom SBlUBS 170 TRANSFORMATION GROUPS R. S. W•rll and 1992 200 pp. 42608-1 Paper about $39.95 Christopher AlW..y and R. 0. Wells,Jr. Volker Puppe CAMBRIDGE MONOGRAPHS ON MATifBMA11CilL PHYSICS HARMONIC ANALYSIS AND CAMBRIDGE STUDIES IN ADVANCED 530 pp. 42268-X Paper $34.50 REPRESENTATION THEORY FOR MA77JBMA17CS .32 1991 350 pp. 35022-0 CROUPS ACTING ON Hardcover about $69.50 A COURSE IN MATHEMATICS HOMOGENOUS TREES FOR STUDENTS OF PHYSICS Alessa.tulro Pigii­ LECTURES ON BLOCK THEORY Volumes 1 and 2 Ta.hl,...nea. and Burk.1uJrll Kuls1uJ••er Pa.ul Ba.•berg and Chluio Nebbia. LONDON MATilBMA17CilL SOCIETY LBCI'lJRB Nom SBlUBS 161 Shlo•o Sternberg LONDON MATilBMA17CilL SOCIETY LBCI'lJRB Volt: 424pp. 40649-8 Paper$27.95 1991 114 pp. 40565-3 Paper $22.95 Nom SBlUBS 162 Vol2: 461 pp. 40650-1 Paper$27.95 1991 160 pp. 42444-5 Paper $29.95 SURVEYS IN COMBINATORIC$, 1991 Edited by A. D. KeeiiUJell LONDON MATilBMA17CilL SOCIETY LECTURE Nom SBlUBS 166 1991 300 pp. 40766-4 Paper $39.95

Available in bookstores or write: CAMBRIDGE UNIVERSITY PRESS 40 West 20th Street, New York, NY 10011-4211. Call toll-tree 800-872-7423. MasterCardiVJSI\ accepted. Prices subject to change. New in 1992 from Birkhauser

S. Kwapien, Case Western Reserve S. Cambanis, University of North Carolina, James Eells, University of Warwick, and University and W. Woyczynski, Warsaw Chapel Hill; G. Samorodnitsky, Cornell Domingo Toledo, University of Utah (Eds.) University, Poland University; and M.S. Taqqu, Boston University (Eds.) The Collected Papers of Random Series and Stochastic Hassler Whitney Intregrals: Single and Multiple Stable Processes and Related Topics Two-Volume Set Studies the foundations of the theory of linear This two volume set contains most of the papers and nonlinear forms in single and multiple ran­ Contains 16 papers from a conference held at of Hassler Whitney one of the great innovators dom variables including single and multiple Cornell, that discuss stable and related infinitely in twentieth century mathematics. Whitney's random series and stochastic integrals, both divisible laws, with topics ranging from ergodic pioneering work in algebraic and differential Gaussian and non-Gaussian. Its topic is inti­ and sample path properties of such processes to toplogy and differential geometry has exerted a mately connected with a number of classical a new invariance principle for resampled obser­ profound influence on many concepts, includ­ problems of probability theory such as the vations from a stable law. The volume's purpose ing matroids, differentiable manifolds, fiber summation of independent random variables, is to contribute towards making stable models bundles, characteristic classes, classifying martingale theory and the Weiner theory of more access-ible to probabilists and statisticians spaces, stratifications, and rational homotopy. polynomial chaos, as well as with several appli­ and developing a methodology for their appli­ His citation for the 1982 Wolf Foundation Prize cation areas such as stochastic analysis, limit cation. in Mathematics reads, "His work inaugurates theorems for symmetric statistics, representa­ 1991/330 pp./Hardcover/$69.00 the style of geometric and combinatorial reason­ tion of random fields, partial differential equa­ ISBN 0-8176-3485-1 ing that has become the standard for the second tions and quantum field theory. The emphasis is Progress in Probability, Volume 25 half of the twentieth century." on domination principles for comparison of 1991/Approx. 1152 pp./Hardcover/$198.00 sequences ofrandom variablesandondecoupling A.B. Cruzeiro, lnstituto di Fisica e ISBN 0-8176-3560-2 (Two Volume Set) techniques. This volume will be of value to Matematica, Lisbon, Portugal; and J.C. 1991/Approx. 598 pp./Hardcover/$115.00 researchers and graduate students in probability Zambrini, Royal Institute of Technology, ISBN 0-8176-3558-0 (Volume One) theory, stochastic processes, theoretical statistics, Stockholm, Sweden (Eds.) 1991/Approx. 554 pp./Hardcover/$115.00 and in several areas of theoretical physics and ISBN 0-8176-3559-9 (Volume Two) engineering. Stochastic Analysis and Contemporary Mathematicians 1992/Approx. 341 pp./Hardcover Applications $84.50 (tent.)IISBN 0-8176-3572-6 Proceedings of the 1989 Lisbon Conference Francisco A. Rodriguez-Consuegra Probability and Its Applications Contains a selection of carefully refereed papers With a Preface by Ivor Grattan-Guinness from the first Lisbon conference on Stochastic The Mathematical Philosophy Robert M. Blumenthal, University Analysis and Applications, which is expected to of Washington become a biannual tradition. The wide range of of Bertrand Russell Excursions of Markov Processes problems tackled by the contributors include: Origins and Development quasi-invariance of measures in infmite dimen­ This book is a study of Russell's method Discusses the analysis and construction of sions; random walks on groups; problems in throughout the whole of his work, revealing, in Markov processes in terms of the excursions of stochastic calculus and stochastic calculus of particular, the origin of this general method in the path between visits to a subset of the state variations; diffusion processes. his writings devoted to the foundation of math­ space. The purpose of this book is to attract 1991/Approx. 208 pp./Hardcover/$54.50 ematics. It shows the neo-Hegelian beginnings graduate students and research mathematicians ISBN 0-8176-3567-X of the mid 1890s; the eventual acceptance of the to the subject and to acquaint them ~ith the Progress in Probability, Volume 26 set theory of Cantor and the studies of various theory, techniques and applications of the ex­ algebraic theories by Whitehead (Russell's cursion viewpoint. Emphasis is on a notable M. Pinsky, Northwestern University, former teacher and collaborator); then his ac­ aspect of excursion theory - its use in making Evanston, IL; and V. Wihstutz, University quaintance with themathematicallogicofPeano specific computations and in providing concrete of North Carolina at Charlotte (Eds.) and his school; and fmally Russell's first sub­ illustrations ofmany concepts, even some deeply stantial outline of logicism in the book The theoretical ones, from probabilistic potential Diffusion Processes and Principles of Mathematics (1903). theory. There is much current research in prob­ Related Problems in Analysis, ability that uses the ideas and techniques of The work fills a gap in the literature as there has excursion theory, and many open problems are Volume II been no study todateofRussell's method tracing suggested by this research. Stochastic Flows its origins in his mathematical philosophy, and 1991/Approx. 275 pp./Hardcover/$64.50 analyzing and explaining its evolution. It is of ISBN 0-8176-3575-0 While the theory of deterministic flows can be high interest to historians and philosophers of Probability and Its Applications considered classical, the stochastic counterpart logic and mathematics, to historians of analytic has only been developed in the past decade. philosophy and to students of the mentioned Much of this work was done in close connection disciplines. llul'£' I a11 lla11 to Ouln.' with the theory of diffusion processes, where 1991/236 pp./Hardcover/$68.50 dynamical systems implicitly enter probability ISBN 0-8176-2656-5 • Call: Toll-Free 1-800-777-4643. In NJ please call theory by means of stochastic differential equa­ (201) 348-4033. Your reference number is Y531. tions. The aim of this book is to give a broadly • Write: Send payment plus $2.50 for postage and based presentation of Stochastic Flows to the handling to: Birkhiiuser, Order Fulfillment -Dept. scientific public, both to serve as a guide to the Y531, P.O. Box 2485, Secaucus, New Jersey field and to illustrate its rich structure, unifying 07096-2491. capability and broad domain of applications. • Visit: Your Local Technical Bookstore. 1991/Approx. 325 pp./Hardcover/$64.50 Visa, MasteJCard, American Express and Discover charge ISBN 0-8176-3543-2 cards as well as personal checks and money orders are acceptable forms of payment. All orders will be processed Progress in Probability, Volume 27 upon receipt. If an order cannot be fulfilled within 90 days, ~ Birkhiiuser payment will be refunded. Prices quoted are payable in U.S. currency or its equivalent. iqp) Boston Basel Berlin New from Allerton Press ~ Japanese Journal of FUZZY THEORY AND SYSTEMS ~0 "In my opinion, the publication of the English edition of this journal is a very important undertaking. For various reasons, which are a subject of current debate, SOFT the U.S. is now far behind Japan in fuzzy theory and, particularly, in its applications. CJ This journal should be a compulsory reading for anyone interested in the applicability of fuzzy theory. Not reading it would likely result in 'reinventing the wheel' again and again." - George J. Klir Distinguished Professor of Systems Science, SUNY Binghamton NAFIPS President (1988-1991)

The Journal of the Japan Society for Fuzzy Theory and Systems, now available for the first time in English, underscores the major and enlightened role that Japanese scientists and engineers have played in the development ofthe theory of fuzzy sets and their use as a basis for many important applications in areas as diverse as train and ship controllers, industrial process control, anti-shake control for video cameras, control of domestic appliances, automatic transmissions, medical diagnosis and securities expert systems.

''Allerton Press is to be congratulated for bringing out in an English edition one of the most important technical journals of the early 1990's. The Japanese Journal of Fuzzy Theory and Systems contains work that will translate into a myriad of commercial and military products in the next decade that are, or will be, based on the idea of fuzzy sets models. This journal will most likely carry seminal papers on technology advances that are 'must' reading for serious followers of useful approaches to the solution of pattern recognition and control problems in engineering and science." -Jim Bezdek Past President, International Fuzzy Systems Association General Chair, First IEEE International Conference on Fuzzy Systems, San Diego, 1992

Although Japan's accomplishments in the area of fuzzy SAMPLE• CONTENTS Vol. (1991) No. 4 mathematics and applications have been outstanding and An Alternative Procedure for the Calculation of Fuzzy Logic are well recognized all over the world, this new English Controller Values translation will undoubtedly strengthen Japan's reputation A Decision Rule on a Fuzzy Event in this area even more. On a Statistical Model for Fuzzy Data Fuzzy Design of Sampling Inspection Plans by Attributes A Variable Ordinal Structure Model for Fuzzy Reasoning and its Japanese• Journal of Application to Decision of Priorities of Assembling Products FUZZY THEORY AND SYSTEMS Application of Fuzzy Structural Modeling Method to Hierarchy Model of Damage Factors for Steel Bridges Editor-in-Chief: Misaharu Mizumoto Institutional Subscription Price: Control of an Overhead Travelling Crane System Based on the Vol. 3 (1991) ...... $475.00 (4 issues) Model Reference Adaptive Control System with a Fuzzy Adaptation Rule Individual subscriptions are available at a greatly Application of Neural Networks Designed on Approximate reduced rate. Reasoning Architecture to the Adjustment of VTR Tape-Running Mechanisms Write for complete details and a complimentary specimen issue today! Development of Fuzzy Inference Device Using Digital ICs

Allerton Press, Inc. 150 Fifth Avenue I New York, NY 10011 /Telephone: (212) 924-3950Cable: ALLPRESS /Telex: 427411 ALPRESS I Fax: (212) 463-9684 Volume 53

Complex Geometry and Lie Theory

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1) Telephone: ------(Please print) Surname First Middle 2) (Mailing address) (E-mail address) 3) Badge information: Affiliation------4) Joint Meeting fee £ ______f$ ------5) Full payment for residence hall £ ______,$ ------6) I will attend the LMS Reception on Monday, June 29 and will need tickets at no cost. 7) I am NOT residing in the residence halls but do wish to purchase ____ tickets (at a cost of £24.70/$46.00 per person) for the Conference Dinner, held on Tuesday, June 30; at £ or $ for a total of ____,

I am residing in the residence halls and will attend the Conference Dinner, held on Tuesday, June 30, and will need a ticket at no cost and tickets at no cost for accompanying persons residing at Robinson College.

8) TOTAL AMOUNT ENCLOSED FOR 4 through 7: £f$ NOTE: Payment to AMS may be by check payable to AMS (marked "US Funds") or VISA or MasterCard credit cards. Payment to LMS must be by sterling cheque payable to "London Mathematical Society". Credit cards cannot be accepted. 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:

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Special Remarks: ACCOMMODATION SECTION:

D PLEASE CHECK HERE IF YOU WILL NOT REQUIRE A ROOM

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HOTELS Please rank hotels in order of preference by writing 1 or 2 in the spaces at the left on form, and by circling the requested room type and rate. If the rate requested is no longer available, you may be assigned a room in the other hotel. Rates listed below include local tax. Dollar amounts are subject to market fluctuation and may be more or less than shown below at the time of the meeting.

ORDER OF CHOICE SINGLE TWIN DOUBLE £ $ £ $ £ $ University Arms Hotel* 86.00 159.96 105.00 195.30 105.00 195.30 Holiday Inn* 70.00 130.20 110.00 204.60 110.00 204.60"

*Rates at both hotels include a full breakfast.

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RESIDENCE HALLS (ROBINSON COLLEGE)

Accommodation at Robinson College, in single rooms, is available for the nights of Monday 29 June to Wednesday 1 July at a cost of £228.00/$424.08. The charge includes a buffet meal on Monday evening, breakfast, lunch and dinner on Tuesday and Wednesday and breakfast on Thursday. Reservations for single nights cannot be accepted. A limited amount of bed and breakfast accommodation is available for the night of Sunday 28 June at an extra charge of £44.00/$81.84, making the total cost of the package £272.00/$505.92. Dollar amounts are subject to market fluctuation and may be more or less than shown below at the time of the meeting. Please indicate your requirements below.

Cost per person Number of Total persons cost 6/29-7/1 £228.00/$424.08 £/$ 6/28-7/1 £272.00/$505.92 £f$

Names of accompanying persons:------

Full prepayment for room and board is required. Payment to AMS may be by check payable to AMS (marked "US Funds") or VISA or MasterCard credit cards; payment to LMS must be by sterling cheque payble to "London Mathematical Society." Credit cards cannot be accepted. Lectures on Homotopy Collected Works of Theory A.M. Turing by R.A. Piccinini by A.M. Turingt North-Holland Mathematics Studies Volume 171 The collected works of Turing, including a 1992 xii + 292 pages substantial amount of unpublished material, will Price: US$ 92.50 I Dfl. 180.00 four volumes: Mechanical ISBN 0-444-89238-9 Pure Mathematics, The central idea of the lecture course which gave lnrnhlnm>nFlSils and Mathematical Logic. birth to this book was to define the homotopy ~A:>thi••nn Turing (1912-1954) was a brilliant groups of a space and then give all the machinery made major contributions in several needed to prove in detail that the n'h homotopy Today his name is mentioned group of the sphere sn, for n greater than or equal in philosophical discussions about to 1 is isomorphic to the group of the integers, that of Artificial Intelligence. Actually, he the lower homotopy groups of snare trivial and that researcher in computer the third homotopy group of S 2 is also isomorphic and software engineering; his work to the group of the integers. Progress in m"'th~lm:~tic:s and mathematical logic Analysis and his last work, ,rni""""'""''S in plants, is also Big-Planes, Boundaries and Proceedings of the as being of the greatest Function Algebras Analysis Meeting on the of permanent importance. He Birthday of Professor M. the leading figures in by T.V. Tonev 22-27 October 1990 science, a fact which would North-Holland Mathematics Studies Volume 172 known to the general public sooner edited by K.D. Bierstedt, J. 1992 xviii + 294 pages M. Maestre British Official Secrets Act, which discussion of his wartime work. Price: US$ 92.50 I Dfl. 180.00 North-Holland Mathematics surprising about these papers is ISBN 0-444-89237-0 1992 xxviii + 432 pages were written over thirty-five Treated in this volume are selected topics in Price: US$ 115.50 I Dfl. 225.00 major issues which analytic r -almost-periodic functions and their ISBN 0-444-89378-4 today. representations as r -analytic functions in the big-plane; n-tuple Shilov boundaries of function volume celebrates Manuel This spaces, minimal norm principle for vector-valued birthday. During his career, functions and their applications in the study of variety of contributions to a wide vector-valued functions and n-tuple polynomial Analysis and his work Functional and rational hulls. Applications to the problem of honor of profound impact. In existence of n-dimensional complex analytic this volume achievements, I Intelligence structures, analytic r -almost-periodic structures papers on topics twenty-five and structures of r -analytic big-manifolds spaces, operator ideals, (Banach respectively in commutative Banach algebra (DF) and (LF) spaces, · Frechet, spectra are also discussed. infinite holomorphy etc.).

Send your orders to: Continuous Linear In the USA and Canada: Representations Elsevier Science Publishing Co. Inc., P.O. Box 882, Madison Square Station, Magyar byZ. New York, NY 10159, USA. North-Holland Mathematics Studies Telex: 420643 Fax: (New York) 212-633-3990 1992 viii + 302 pages Price: US$ 92.50 I Dfl. 180.00 In all other countries: Elsevier Science Publishers, ISBN 0-444-89072-6 attn: Marijcke Haccou, The first half of this book is centered around P.O. Box 103,1000ACAmsterdam, relation between a continuous linear '"'""""''t The Netherlands. (of a Lie group over a Banach space or even a Telex: 18582 espa nl 020-5862-616 general space) and its tangent; the latter is a Fax: (Amsterdam) algebra representation in a sense. Starting · We accept Access, Eurocard, MasterCard, Hille-Yosida theory, quite recent results American Express, VISA (with signature and expiry reached. The second half is more standard date noted) as well as Bank Draft/Eurocheque/ theory with applications concerning the Galilean International Money Order/Postal Cheque/ and Poincare groups. Official Purchase Order Form.

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C.H. Clemens and M.A. Clemens. University of Utah, Y.N. Moschovakis, University of California at Los Angeles, Salt Lake City, UT CA(Ed.) Geometry for the Classroom Logic from Computer Science Gives teachers a broad preparation in the content of elementary This volume is the outgrowth of a workshop held at MSRI which geometry and also covers closely related topics of a more advanced brought together the LICS community with some of the more nature. Intended for use in college courses for prospective or in­ traditional mathematical logicians. Emphasis is on the flow of ideas service secondary school teachers of geometry. Incorporates a from computer science to logic rather than the other way around. flexible methodology for the teaching of geometry which can be The literature emphasizes the foundational and mathematical sig­ adapted to different classroom settings. The basic strategy is to nificance of the results rather than the potential applicability. The develop the few fundamental concepts of elementary geometry, topics span the whole breadth of computational logic and the quality first intuitively and then more rigorously. Following material is of the contribution is unusually strong. then buill out of these concepts through a combination of exposition 1992/app. 624 pp., 10 illus.!Hardcover/$69.00 and "guided discovery" in the problem sections. A separate volume ISBN 0-387-97667-1 which includes exercises and solutions is also available. Mathematical Sciences Research Institute Publications, 19911335 pp., 512 illus./Softcover/$29.95/ISBN 0-387-97564-0 Volume 21 Geometry for the Classroom: Exercises and Solutions V.P. Khavin, Leningrad University, USSR; N.K. Nikol'skij, Steklov 1991/167 pp., 335 illus./Softcover/$19.95/ISBN 0-387-97565-9 Mathematical Institute, Leningrad, USSR ( Eds.); j. Peetre (Trans.) Commutative Harmonic A. Borel, Institute for Advanced Study, Princeton, NJ Analysis IV Linear Algebraic Groups Harmonic Analysis in R" Second Enlarged Edition This second volume of the Commutative Harmonic Analysis subseries of the EMS covers four advanced topics including: Presents foundational material on algebraic groups. Lie algebras, Littlewood-Paley theory for singular integrals, exceptional sets, transformation spaces, and quotient spaces. It then turns to solvable groups, general properties oflinear algebraic groups and Chevally's multiple Fourier series and multiple Fourier integrals. The authors structure theory of reductive groups over algebraically closed assume that the reader is familiar with the fundamentals ofharmonic groundfields. The remainder of the book is devoted to rationality analysis and with basic functional analysis. The exposition starts questions over non-algebraically closed fields. The last part of the with the basics for each topic, taking account of the historical first edition has been expanded by five new sections, centering on development, and ends with the subject at the level of current the structure of the group of rational points of an isotropic reductive research. group and on central isogonies. More results on solvable groups 19911240 pp./Hardcover/$79.00/ISBN 0-387-53379-6 have also been included. Encyclopedin of Mathematical Sciences, Volume 42 19911288 pp./Hardcover/$49.00/ISBN 0-387·97370-2 Graduate Texts in Mathematics, Volume 126 Order Today! B.P. Palka, University of Texas at Austin, TX • Call: Toll-Free 1-800-SPRINGE(R): 1-800-777-4643. An Introduction to Complex In NJ call201-348-4033 (8:30AM-4:30PM EST). Function Theory Your reference number is S121. Provides a rigorous yet elementary introduction to the theory of • Write: Send payment plus $2.50 postage and handling for analytic functions of a single complex variable. Starting with basic the first book and $1.00 for each additional book to: definitions, the text slowly and carefully develops the ideas of Springer-Verlag New York Inc., Dept. #S 121, complex analysis to such a degree that Cauchy's theorem, the PO Box 2485, Secaucus, NJ 07096-2491. Riemann mapping theorem, and the theorem of Mittag-Leffler can • Visit: Your local technical bookstore. be treated without sidestepping any issues of rigor. Each chapter concludes with a wide selection of exercises. Instructors: Call or Write for information on textbook 19911559 pp., 138 illus./Hardcover/$39.00/ISBN 0-387-97427-X examination copies.' , Undergraduate Texts in Mathematics ,.... ,... ,;

lii·Miillllll • Springer-Verlag l/92 Reference Number S 121

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