OTICES OF THE
AMERICAN MATHEMATICAL SOCIETY
Encouraging Women in Math and Science page 5
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INSIDE THE AMS CEEP and The Annual Survey page 16 Advice Sought - Long Range Planning Committee page 17
JANUARY 1990, VOLUME 37, NUMBER 1
Providence, Rhode Island, USA ISSN 0002-9920 Calendar of AMS Meetings and Conferences
This calendar lists all meetings which have been approved prior to Mathematical Society in the issue corresponding to that of the Notices the date this issue of Notices was sent to the press. The summer which contains the program of the meeting, insofar as is possible. and annual meetings are joint meetings of the Mathematical Associ Abstracts should be submitted on special forms which are available in ation of America and the American Mathematical Society. The meet many departments of mathematics and from the headquarters office ing dates which fall rather far in the future are subject to change; this of the Society. Abstracts of papers to be presented at the meeting is particularly true of meetings to which no numbers have been as must be received at the headquarters of the Society in Providence, signed. Programs of the meetings will appear in the issues indicated Rhode Island, on or before the deadline given below for the meet below. First and supplementary announcements of the meetings will ing. Note that the deadline for abstracts for consideration for pre have appeared in earlier issues. sentation at special sessions is usually three weeks earlier than that Abstracts of papers presented at a meeting of the Society are pub specified below. For additional information, consult the meeting an lished in the journal Abstracts of papers presented to the American nouncements and the list of organizers of special sessions. Meetings
Abstract Program Meeting# Date Place Deadline Issue 855 • March 16-17, 1990 Manhattan, Kansas Expired February 856 • March 23-24, 1990 Fayetteville, Arkansas Expired February 857 • April 7-8, 1990 University Park, Pennsylvania January 25 March 858 • April 19-22, 1990 Albuquerque, New Mexico January 25 March 859 • August 8-11, 1990 Columbus, Ohio May 18 July I August (93rd Summer Meeting) October 20-21,1990 Amherst, Massachusetts August 6 October November 2-3, 1990 Denton, Texas August 6 October January 16-19, 1991 San Francisco, California October 10 December (97th Annual Meeting) August 8-11, 1991 Orono, Maine (94th Summer Meeting) March 16-17, 1991 Southbend, Indiana March 22-23,1991 Tampa, Florida January 8-11 , 1992 Baltimore, Maryland (98th Annual Meeting) June 29-July 1, 1992 Cambridge, England (Joint Meeting with the London Mathematical Society) January 13-16, 1993 San Antonio, Texas (99th Annual Meeting) January 5-8, 1994 Cincinnati, Ohio (1 OOth Annual Meeting) • Please refer to page 43 for listing of special sessions. Conferences
June 7 -July 4, 1990: Joint Summer Research Conferences in July 8-28, 1990: AMS Summer Research Institute on the Mathematical Sciences, University of Massachusetts at Differential Geometry, University of California, Los Angeles, Amherst, Massachusetts. California June 18-29, 1990: AMS-SIAM Summer Seminar on Vortex Dynamics and Vortex Methods, University of Washington, Seattle, Washington. Events Cosponsored by the Society
February 15-20, 1990: Section A (Mathematics) Sessions at the AAAS Annual Meeting, New Orleans, Louisiana. Deadlines
March Issue April Issue May-June Issue July-August Issue Classified Ads* Feb 8, 1990 March 6, 1990 April 23, 1990 June 14, 1990 News Items Feb 9.1990 March 5, 1990 April 25, 1990 June 18, 1990 Meeting Announcements•• Jan 291990 Feb 27, 1990 April 16, 1990 May 29, 1990
• Please contact AMS Advertising Department for an Advertising Rate Card for display advertising deadlines. •• For material to appear in the Mathematical Sciences Meetings and Conferences section. OTICES OF THE
AMERICAN MATHEMATICAL SOCIETY
ARTICLES DEPARTMENTS
2 Journal Price Survey - Threatened 3 Letters to the Editor William H. Jaco, Executive Director of the AMS, responds to a challenge 20 News and Announcements to the integrity of the Journal Price Survey published in the November issue of Notices. 31 Funding Information for the Mathematical Sciences 5 Encouraging Women in Math and Science 32 For Your Information Encouraging more women to choose careers in mathematics and 33 Meetings and Conferences science is at the top of everyone's agenda these days. But how do we of the AMS make it happen? Last November, about 200 mathematicians, scientists, Manhattan, KS and educators convened for a lively two-day conference to discuss March 16-17, 33 various programs and studies addressing this issue. Allyn Jackson Fayetteville, AR reports on this upbeat and productive conference. March 23-24, 36 University Park, PA April 7-8, 39 Albuquerque, NM FEATURE COLUMNS Apri/19-22, 41 Invited Speakers, 43 Joint Summer Research 7 Computers and Mathematics Jon Barwise Conferences in the This month's column contains a piece about the computer calculus Mathematical Sciences, 46 project going on at the University of Michigan at Dearborn and two AMS-SIAM Summer reviews, one of the PC version of Macsyma and one on the Mac version Seminar, 48 of MathCAD. AMS Summer Research Institute, 49 16 Inside the AMS Section A (Mathematics) Sessions at AAAS Meeting, Edward A. Connors reports on the History of the Committee on 51 Employment and Educational Policy (CEEP) and its Annual Survey, and William P. Thurston raises some serious questions facing the Long 52 Mathematical Sciences Range Planning Committee (LRPC) and asks for reader responses. Meetings and Conferences 63 New AMS Publications 19 Washington Outlook 65 New Members of the AMS This month, Hans J. Oser examines the need for more emphasis on education from funding agencies, instructors, and textbook authors. 68 Classified Advertising 107 Forms
JANUARY 1990, VOLUME 37, NUMBER 1 1 Journal Price Survey - Threatened The ability to conduct and publish cost comparison studies of research journals is being threatened. In 1982 the Society decided that a cost comparison study of AMERICAN MATHEMATICAL SOCIETY mathematical research journals would benefit the entire mathematical community. The AMS published its first survey of American research journals in the November 1983 Notices. This first survey used data collected from the 1982 issues of the journals. The second survey EDITORIAL COMMITTEE used new data collected from the 1984 issues of the journals and was Robert J. Blattner, Michael G. Crandall published in the March 1986 Notices. A companion of the second Robert M. Fossum (Chairman) Lucy J. Garnett, D. J. Lewis survey, a study by the European Mathematical Council (EMC) of Nancy K. Stanton, Robert E. L. Turner prices of European journals, was published in the November 1986
MANAGING EDITOR Notices. Donovan H. VanOsdol After the first survey, the AMS received notification from at for Gordon & Breach, Scientific Publishers, Inc. objecting ASSOCIATE EDITORS torneys Ronald L. Graham, Special Articles to the content of the survey as it related to the Gordon & Breach Jeffrey C. Lagarias, Special Articles (G & B) journals. The attorneys for G & B went on to say that" ...
SUBSCRIPTION INFORMATION this survey may be the case of wrongful computation and may also Subscription prices for Volume 37 (1990) are involve trade libel of our client." $113 list; $90 institutional member; $68 individual As a consequence of the EMC survey, the Chairman of the member. (The subscription price for members is to those journals whose included in the annual dues.) A late charge of EMC was instructed by the EMC to write 10% of the subscription price will be imposed costs were significantly above average, drawing their attention to the upon orders received from nonmembers after situation and asking for their cooperation in keeping costs down. January 1 of the subscription year. Add for post & to the Chairman of the age: Surface delivery outside the United States After receiving such a letter, G B replied and lndia-$11; to lndia-$22; expedited deliv EMC that they believed they had "a substantial case involving trade ery to destinations in North America-$24; else libel" and that they had "turned this matter over to legal counsel where-$49. Subscriptions and orders for AMS Kingdom." publications should be addressed to the Amer both in the United States and in the United ican Mathematical Society, P.O. Box 1571, An At the height of these exchanges, the Society yielded to pressure nex Station, Providence, AI 02901-1571. All or against publishing a complete survey. The second AMS survey, ders must be prepaid. appearing in the March 1986 Notices, did not include the G & B ADVERTISING journals, as reported in a footnote to that survey. There was, however, Notices publishes situations wanted and classi no agreement to refrain from ever including G & B journals in any fied advertising, and display advertising for pub lishers and academic or scientific organizations. future survey; it would have been a disservice to our readers to have Copyright @ 1990 by the American Mathemat restricted the survey in such a way. ical Society. All rights reserved. Printed in the In an attempt to bring the information of the earlier surveys States of America. United conducted by the AMS and published in Notices up to date, the The paper used in this journal is acid-free and falls within the guidelines established to ensure AMS published, in the November 1989 Notices, its third survey of permanence and durability. §Most of this publi information taken from journal issues for the subscription years cation was typeset using the TEl( typesetting sys 1984, 1986 and 1988. The third AMS survey includes data on tem. G & B journals. The data for G & B journals was collected in the [Notices of the American Mathematical Society is published ten times a year (January, February, same manner as that for all other journals in the survey. The AMS March, April, May/June, July/August, Septem sent these data to all publishers with journals in the survey, including ber, October, November, December) by the Amer G & B, notifying them of the Society's plans to publish the data and ican Mathematical Society at 201 Charles Street, Providence, Rl 02904-2213. Second class post asking for verification of the data. G & B modified and verified the age paid at Providence, Rl and additional mailing data and returned it to the AMS for publication. offices. POSTMASTER: Send address change no Since the appearance of the third AMS survey, the Society tices to Notices of the American Mathematical So ciety, Customer Service Department, American has received correspondence from attorneys representing Gordon & Mathematical Society, P. 0. Box 6248, Provi Breach, demanding a "retraction". Furthermore, through a statement dence, Rl 02940-6248.] Publication here of the appearing as a paid advertisement in this issue of Notices, G & B Society's street address, and the other informa tion in brackets above, is a technical requirement questions the methodology of the survey and the intent and integrity of the U. S. Postal Service. All correspondence of the AMS. should be mailed to the Post Office Box, NOT the (Continued on page 18) street address.
2 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY astonished (as Mandelbrot probably department to share their views on was) if the result was the suppression this matter with me. Letters of both the review and the response The responses from our Chinese (or an attempt to dispose of them in graduate students were consistent. to the Editor Notices). As long as I perceive this to They all said roughly the same thing, be the editorial policy of the Bulletin, i.e. "do not reject Chinese mathe I cannot in good conscience agree to maticians in this way." They told review for that journal. me that most Chinese students are Treatment of Book Reviews The correct action to have taken not lucky enough to be able to study and Responses in the Bulletin seems obvious to me. Both the Krantz abroad; that many Chinese universi review and a review by Mandelbrot ties do not have enough money to I am writing to express some dismay of the same books should have been subscribe to current journals; that with recent actions concerning a book in the same issue of the Chinese students and scholars have review written by Steven Krantz of published Bulletin. Surely, this kind of com great difficulties in simply learning Washington University and submit petition of ideas is the very foun about new developments in mathe ted for publication in the Bulletin of dation of our intellectual tradition. matics; that if American mathemati the AMS. As I understand events, the Controversy in mathematics may be cians reject opportunities to visit review by Krantz of two books by rarer than in other disciplines, but Chinese universities and institutes, H. Peitgen, P. Richter, and D. Saupe it should be dealt with in a free some math graduate students will was initially accepted for publication, market of ideas; it should not be edited, and galley proofs were sent to shoved under the rug by relegating it the author. Subsequently, however, to Notices. the acceptance was withdrawn in re Fortunately, both the original re sponse to objections to the review by view of Krantz, and a response by Policy on Letters to the Editor Benoit Mandelbrot, and a request by Mandelbrot have appeared in the Letters submitted for publication in Notices him to respond in the pages of the fall issue of the Mathematical Intel are reviewed by the Editorial Committee, Bulletin. whose task is to determine which ones are /igencer. I urge all members of the At Professor Krantz's request the suitable for publication. The publication AMS to read them both. AMS Council considered the matter. schedule normally requires from two to four months between receipt of the letter in The Council voted to refer Krantz's John Franks Providence and publication of the earliest review together with Mandelbrot's Northwestern University issue of Notices in which it could appear. response to the Notices editorial com (Received September 14, 1989) Publication decisions are ultimately mittee for publication in Notices. An made by majority vote of the Editorial amendment to refer them instead to Committee, with ample provision for prior Boycotting Scientific Visits discussion by committee members, by mail the Bulletin editorial committee for or at meetings. Because of this discussion publication in the Bulletin was de to China period, some letters may require as much feated. Professor Krantz declined the Last week I received a letter from as seven months before a final decision is offer to publish in Notices for reasons Professors Fuchs and Wu, asking me made. Letters which have been, or may be, unknown to me. Perhaps he resented to join them in expressing outrage at published elsewhere will be considered, but the Managing Editor of Notices should be the Council's implication that his re the repressive measures taken by the informed of this fact when the letter is sub- view and Mandelbrot's comments, Chinese government against its stu mitted. while not suitable to accompany the dents and citizens. I agree 100% with The committee reserves the right to usual book reviews in the Society's Professors Fuchs and Wu that math edit letters. scholarly journal, were adequate for ematicians who have interacted pro Notices does not ordinarily publish complaints about reviews of books or arti the Society's newsletter. fessionally with Chinese colleagues cles, although rebuttals and correspondence On the two occasions I have been should speak out to condemn the concerning reviews in Bulletin of the Amer asked to write book reviews for the brutal suppression of human rights ican Mathematical Society will be consid Bulletin I never dreamed that had in China. However, their letter pro ered for publication. All published letters my opinions been controversial, my posed something more, i.e. a boycott must include the name of the author. Letters should be typed and in legible reviews could have been rejected or of further visits to China at this time. form or they will be returned to the sender, relegated to Notices on that basis. I felt less sure whether that action possibly resulting in a delay of publication. By the same token, had I ever taken was correct. Being uncertain how to Letters should be mailed to the Editor serious exception to a review to be respond, I put their letter on our de of Notices, American Mathematical Soci published in the Bulletin and asked partment bulletin board, and invited ety, P.O. Box 6248, Providence, RI 02940, and will be acknowledged on receipt. to respond to it, I would have been faculty and graduate students in my
JANUARY 1990, VOLUME 37, NUMBER 1 3 Letters to the Editor
lose their only contact with modern attention. That committee ought to Support for mathematics; that, while a boycott is be pressed if it fails to express itself Romanian Mathematicians well-intentioned, it ends up hurting appropriately. I feel that it is impor For the last six years, only one mem the very individuals it was intended tant that we show the world that we ber of the Department of Mathe to help. are a professional community with a matics of INCREST was allowed to A boycott is a clear way to "do conscience. travel to a western country to attend something", but on the balance I scientific meetings. During this pe think it's wrong. Joan S. Birman Here are some al riod I lost more than ten such events ternatives. Columbia University Mathematicians who are and one may estimate the level of invited (Received October 2, 1989) for future professional visits this loss for the more than seventy can be alert to possible opportunities members of our Department. to speak up. They should certainly I protest against this situation take care to EDITOR'S NOTE: The chair of the be sure they are not which affects profoundly our research! used to give legitimacy AMS Committee on Human Rights to a repres As a member of the AMS, I ask the sive regime. of Mathematicians is Alice T. Schafer. The AMS has a Human mathematical community for sup Rights Committee, and with enough Her address is Department of Math ematics, Wellesley College, Box 64, port and for the promotion of scien support and input from the member tific activity. ship it can be an effective committee. Wellesley, MA 02181. Specific individual cases of mathe Dan Tiba maticians who have suffered from INCREST recent events must be brought to its Bucharest, Romania (Received August 28, 1989)
The Collected Papers of /R. H. BING/ Sukhjit Singh, Steve Armentrout, Robert J. Daverman, Editors
A powerful mathematician and a great historical background on Bing's life and 1980 Mathematics Subject Classifications: problem solver, R. H. Bing laid the achievements. 57, 54, 26 foundation for a number of areas of ISBN 0-8218-0117-1, LC 88-14445 topology. Many of his papers have This collection will appeal to 2 volumes, 1680 pages (hardcover), July continued to serve as a source of major mathematicians in all areas, and 1988 List price $162 , Institutional member $130 , theoretical developments and concrete especially those in topology, as well as students, historians, Individual member $97 applications in recent years. One and educators in the To order, please specify COLBING/NA outstanding example was Michael H. mathematical sciences, for it provides Freedman's use of Bing's Shrinking a complete historical summary of the Criterion to solve the four-dimensional mathematical events in the life of the Poincare Conjecture. man and the mathematician, R. H. Bing. All prices subject to change. Shipment Contents: will be made by surface. For air deliv ery add, 1st book $5, each additional This two-volume set brings together I. R. H. Bing: An introduction; An editorial book $3, maximum $100. Prepayment over one hundred of Bing's research, preface; R. H. Bing: A study of his life, required. Order from American Mathe expository, and miscellaneous papers. by S. Singh; A chronology of R. H. Bing; matical Society, P.O. Box 1571, Annex These works range over a great variety of Ph.D. students of R. H. Bing; R. H. Bing: Station, Providence, RI 02901-1571, or topics in topology, including the topology October 20, 1914-April 28, 1986, by R. D. call toll free 800-321-4AMS to charge of manifolds, decomposition spaces, Anderson and C. E. Burgess; Abstracts with VISA or MasterCard. continua, metrization, general topology, by R. H. Bing; II. Papers of R. H. Bing; and geometric topology. In addition, III. Classifications of works of R. H. Bing; there are a number of papers in the Publications of R. H. Bing: Classified by the areas of convex functions, linearity, and year; Publications of R. H. Bing: Classified conformal varieties. The introductory by subject matter; Works not included in section in the first volume provides these volumes; Permissions.
4 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Encouraging Women in Math and Science Conference Focuses on What Causes Problems And What Makes a Difference
How do we encourage more women to pursue careers Peer group support and personal encouragement are in mathematics, science, and engineering? At scientific not the kind of well-defined variables that most scientists conferences these days, there's hardly a committee meet and mathematicians feel comfortable dealing with. In ing or keynote address that doesn't raise this question. deed, at recent meetings of various policy groups in the In the past, the issue was usually raised with a lot of mathematical sciences, discussions of recruiting more self-righteous pats on the back for even considering it, women are markedly different than at the -st. Cloud but nowadays, amid alarming statistics about a serious conference. Usually the focus is on the quantitative as future shortfall in scientific personnel, policymakers in pect of the problem: there won't be enough white males the various scientific communities are forced to give it to meet the science and technology needs of the next serious consideration. century. At the St. Cloud conference, this argument was And now that people are abandoning simplistic expla rarely mentioned; the emphasis was on such issues as nations that boys are just plain better at math and science equity, cultural biases, encouragement, perseverence, co than girls, they are beginning to see how complicated the ordinating career and family life, and comunicating the entire issue is. Women are sometimes seen as a homo excitement of scientific careers. geneous pool that can simply be siphoned off into the But this doesn't mean the discussion meandered into math and science pipeline, but the reality is much more a fog of psychological talk. For the most part, the con complex. Just how complex was demonstrated at the ference participants were chemists, physicists, biologists, Conference on Women in Mathematics and the Sciences, and mathematicians, and they kept the discussion con held November 10-11,1989 at St. Cloud State University crete. They understand what helped them to persevere in St. Cloud, Minnesota. The conference also showed the and succeed, and now they are applying this knowldege widespread interest in this issue; the main conference to help other women. It was clear that the participants organizer, Sandra Keith, a mathematician at St. Cloud, not only found the conference useful and interesting, but says that what began as a conference for 60-80 regional also enjoyed finding themselves at a scientific conference participants grew to almost 200 participants from 32 filled with other women. states. She also received 800-1000 inquiries from the "I felt that the attitude was celebratory, there was a U.S. and abroad. very happy feeling among the participants that, finally, If the conference established anything, it was that the contribution of women is acknowledged," says Keith. these problems are neither simply defined nor sim "This acknowledgment is due to changing times, changing ply solved. Societal expectations, cultural attitudes, peer demographics, and a recognition that women do make pressure, standardized testing, educational practices, toys good students and scientists. But there's still work to be and play experiences, competition-these are the kinds done." It would have been easy for the participants-the of factors that conference participants pointed to as af great majority of whom were women-to spend time fecting women's participation and achievement in math exchanging complaints and horror stories, but this didn't ematics and science. The effective programs participants happen. The emphasis was on success and how to make described seem to share some common features, among it happen. them encouragement, peer group support, role models, For example, Martha Nesbitt, a Ph.D. candidate in and cooperative learning. There was also an emphasis on dynamical systems from the University of Colorado at directing particular efforts toward women; high-quality Boulder, described some of her experiences in organiz educational experiences will stimulate the interest of ing graduate students to make the department more all students, but females, more often than males, need responsive to the students. About five years ago, women direct, personal encouragement. graduate students organized and ran what they called
JANUARY 1990, VOLUME 37, NUMBER 1 5 Encouraging Women in Math and Science
"slow pitch" colloquia, in which faculty and students "typical scientist" that Matyas showed-they depicted a would speak on various topics at such a level that man in a white coat performing diabolical experiments, any first year graduate would be able to follow the torturing animals, or working for the FBI. entire lecture. The colloquia have proven successful in There were several presentations on successful pro establishing camaraderie among the students, and the grams for encouraging girls and women in science and quality of the lectures is such that many faculty are now mathematics. These ranged from a program in the chem attending the lectures-they enjoy the break from the istry department at the University of Alberta in which "high-powered, macho" stuff of their research, Nesbitt female high school students assist in research with fac joked. ulty for six weeks during the summer, to a program In addition, the graduate students collaborated with at Rutgers University with an all-woman, math-science the faculty to rework the first two years of graduate dormitory with about 100 undergraduates and 10 gradu study to de-emphasize the preliminary examination and ate students, to a 2-day conference at Argonne National emphasize classes and hooking up with an advisor. Many Laboratory on "Science Careers in Search of Women." women students were involved in these efforts and in The programs share the common themes of specifically working with faculty to insure that student concerns were targeting women and providing encouragement in the heard. For example, one woman student was doing well form of peer group support and role models. in her classes, but had trouble passing the prelim because There was also a session on curriculum and courses, of time pressure. The students negotiated with faculty to and several innovative approaches were described. Clau give her extra time, and she passed the exam. Nesbitt dia Henrion, a mathematician at Middlebury College, said that she felt women needed to have a system that is teaching a history of mathematics course that looks was flexible enough to change for their needs or they at the social and cultural factors that have influenced would quit. "Here, women felt they could change things," mathematics and that continue to influence it today. The she said. "It's the small battles that discourage women, course examines the different groups that have supported but, if the battles are won, that's what encourages women and practiced mathematics throughout its history and to keep at it." how they have influenced research. Anita Solow, a math There were a number of presentations focusing on ematician at Grinnell College, described her course on psychological research on gender differences in math "Feminist History and Critiques of Science," which ex ematics and science ability. Beverly Gimmestad from amines feminist perspectives on the influence of gender the mathematics department at St. Cloud said that boys on science. Solow says she believes that scientists often generally do better than girls on tests of visual and withdraw from debate on the feminist critiques because spatial ability. But she has found that when such skills they feel attacked, but that there is much that is valid are taught to girls, their performance is equal to the and useful in the critiques. boys', implying that such skills are learned, rather than The St. Cloud conference was impressive in the wide biological. Keynote speaker Marsha Matyas, a biologist variety of topics it covered. However, the fact that the who heads the Women in Science project at the American conference swelled to beyond the organizers' original Association for the Advancement of Science, said she plans meant that there were often three or four parallel has found little evidence for a biological difference in sessions running. The conference proceedings, which are male and female mathematics and science performance, scheduled to appear in the fall of this year, will help but that differences emerge as a result of such factors as to make more of the information accessible. Keith says different play experiences and parental expectations. she thinks the proceedings will be very useful, even for Matyas also presented data from a study showing people who wouldn't ordinarily consider attending such that female students have significantly less experience a conference. "When people see the program, and see with scientific instruments such as barometers and tele how many really concrete topics were covered, they may scopes, even though they indicate interest in using such change their minds, and say, some really good stuff did equipment. She noted that boys more often than girls happen here," she remarks. "Some people think we're read science books or magazines, attend science lectures, drum beating, or it's a tea party, or some kind of little and talk about science with their friends. In addition, ladies' klatch, but it's much more serious than that." social pressures often affect girls more than boys. Harvey Keynes, a mathematician at the University of Minnesota Allyn Jackson who runs a program for mathematically talented youth, Staff Writer says he believes that girls are socially attuned earlier than boys and are thus more vulnerable to social pressures For information on obtaining the proceedings, write to: telling them that science and mathematics are "nerdy," Sandra Keith, Department ofMathematics and Statistics, weird, or boring. And anyone who doubts that kids have St. Cloud State University, 720 South 4th Avenue, St. this view of science should see the kids' drawings of the Cloud, MN 56301-4498.
6 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Computers and Mathematics
Edited by Jon Barwise
Editorial notes This is not the place to go into these claims in detail, but I would like to give one nice example, borrowed from Colin Adams, a topologist at Williams College who is part of the ge Computers and visual representations in mathematics ometry supercomputer project and who is interested in knots Over the past eighteen months several ways in which com and the attempt to find mathematical invariants for them. Given puters are changing mathematics have been discussed in these a particular knot K in the 3-sphere, it is often possible to "mu pages: computer assisted proofs and proof checking, mathemat tate" K to obtain a new knot K', one that is very difficult to ical writing and typesetting, experimentation in mathematical distinguish from K. In particular, the usual invariants (such discovery, and mathematical education and communication. as the Alexander polynomial and the more recent two-variable This month I would like to suggest another possibility. 1 polynomials) fail to distinguish the knots. Moreover, if K is hy Probably the greatest discrepancy between today's comput perbolic (as the vast majority of knots are), other well-known ers and mathematical models of them (Turing machines, say) invariants (such as the hyperbolic volume, cusp volume, confor lies in the graphical interface of the modern computer. The mal cusp invariant, and the Chern-Simons invariant) also fail graphical capability of today's computer gives us powerful new to distinguish the knots. However, the two knots can often be tools for concretely visualizing mathematical phenomena and distinguished by means of certain diagrams, namely horoball structures, as witnessed by programs like Mathematica. It is diagrams. 3 The horoball diagram can be easily computed and this power as much as any other which has led to their use as graphically displayed. The result is a set of circles of varying tools in mathematical discovery and pedagogy. radii in the plane. Indeed, Adams showed them to me on the Why shouldn't this graphical capability be exploited even Macintosh in his office last month using Jeff Weeks' Hyperbolic further? In particular, why shouldn't graphical representations 3-manifold program SNAPPEA.4 If the horoball diagrams for share the role in mathematical proofs traditionally reserved the two knots differ, the knots must be distinct. (It is not known for linguistic representations (i.e., sentences)? More specifically, if the converse is true, though it is in the wide number of cases why shouldn't diagrams and other forms of graphical represen that have been computed.) Furthermore, the relative positioning tations be used as essential constituents in the statement of a and sizes of the circles yields much geometric and topological theorem, or in its proof, or both? information about the knots. But encoding the picture in some This is a logical heresy, of course, as we are all taught at way as a set of numbers or equations would make it extremely our mother's knee when we study geometry. But why should difficult to extract that information. 5 the linguistic representations have such an exclusive hold over The graphical potential of the computer has led Etchemendy other ways of representing mathematical objects and mathe and I, and no doubt others as well, to question the linguistic bias matical information? In the past, it was thought that there were of modern mathematics. We suggest that horoball diagrams and hazards associated with visual representations, hazards which other forms of visual representations may, in the not too dis make them "dangerous" if used for more than heuristic aids. tant future, come to share a more equal footing with the linguis But upon examination one finds that all the hazards associated tic form of representating mathematical information now used with visual representation are also present in linguistic repre for (officially) stating and proving mathematical results. Why sentations. And the computer is beginning to provide us with should those mathematicians who reason and discover in pri tools to overcome the problems that have given diagrams and vate using visual representations always have to try to describe other visual representations such a bad name in mathematics. For example, there is no principled reason why an automated 3 2 Adams: "The horoball diagram of a knot is a two-dimensional proof checker couldn't check a proof using diagrams. projection of the horoball packing in hyperbolic 3-space corresponding to the lift of a maximal cusp in the knot complement." 1The main thought in this editorial is taken from a joint paper I 4Adams will be reviewing this program in this column in the near have written with John Etchemendy, "Visual information and valid future. I suspect his review will contain a picture of some knots and reasoning," to appear in an MAA volume Visualization in Mathematics their horoball diagrams. being organized by Walter Zimmerman and Steve Cunningham. 5Reference: C. Adams, M. Hildebrand, J. Weeks, "Hyperbolic Invari 2Indeed, we are developing a program we call Hyperproofto do just ants of Knots and Links", Geometry Supercomputer Project Research that in one simple domain. Repon GCG 3, to appear in Trans. of A. M.S.
JANUARY 1990, VOLUME 37, NUMBER 1 7 Computers and Mathematics
their work using solely linguistic representations, only to have the reader have to decode the result to rediscover the visual rep Computers-in-Calculus resentations which led to the discovery in the first place? It is just not true that you can't have a correct proof with a diagram The Dearborn Project as an essential step. And why should we continue to be ham David A. James pered by the static nature of the written word when representing The University of Michigan- Dearborn dynamic phenomena, or even when presenting a dynamic proof of a static result? If these speculations are on target, then the graphical inter A major obstacle, perhaps the major obstacle to using face of the modern computer will radically change the exposi computers in teaching Calculus is not the lack of demon tion of mathematics in the not too distant future, and force us strable value, but the difficulty and time involved by to rethink the standard logocentric account of the logical un the teacher in preparing an effective presentation. To derpinnings of our subject. implement computers in Calculus courses at the present This month's column time requires three things, according to Professor Karian Most of this month's column is devoted to reviews of symbolic of Denison University: some hardware, some software, mathematics programs in their personal computer incarnations. and "a damned fool", which he, along with a couple There is a detailed review of the PC version of Macsyma. And hundred other of us, cheerfully admits to being. Even there is an expression of frustation in a short review of the Mac with a large investment of time and effort by a faculty version of MathCAD. In addition, we have the following let member, much of what is tried the first time will of ter about MATCALC, and a piece about the computer calculus course not be as effective as anticipated. As Will Rogers project going on at the University of Michigan at Dearborn. once remarked "You can be on the right track and still A letter about MATCALC get run over!" The invitation at the end of this article The following letter was received from one of the offers one possible solution to the Will Rogers problem. developers of MA TCALC. Project Description at the In the "Computers and Mathematics" section of the July/ August issue of Notices, a review appeared of University of Michigan- Dearborn the MATCALC matrix analysis package. The Computers-in-Calculus project running at The Uni This package was developed by Michael Gerberg and versity of Michigan - Dearborn uses materials developed myself in the School of Mathematics, University of by Professor Margret Hoft and the author. The first year New South Wales. We would like to bring it to the and a half of our four year development program has attention of your readers that this package has been concentrated on first semester Calculus, and has been placed in the Public Domain. At the present time, supported solely by local funding; however, we shall the source code (in C) and the manual (in TEX) soon be installing new computers jointly funded by our are available on netlib in Australia. Also, Australian University and NSF to continue our project. netlib has forwarded the codes to Argonne for The project involved the computer in three ways: possible inclusion of the package in the US netlib classroom demonstrations, weekly laboratories, and home network. Finally, we would like to point out that work assignments. Last year, six sections of Calculus I the package is not restricted to MS-DOS, UNIX and were taught as computer sections by the directors and VAX/VMS operating systems, as it should run on one other faculty member, and fifteen sections were not. any computer which supports the C language. In the computer sections, three of the four meetings each week were ordinary lectures augmented by short Yours sincerely, computer demonstrations. The fourth period of the week Elvin J. Moore consisted of an abbreviated lecture followed by inter email: [email protected]. unsw .oz active computer laboratory activities, held in a room equipped with 17 microcomputers. The three professors involved found the computer materials surprisingly suc cessful and beneficial, and the students felt likewise (see the Survey Results section below.) Professor Jon Barwise Center for the Study of Language and Information Classroom Demonstrations Ventura Hall Stanford University Of all the uses of computers in Calculus, the most Stanford, CA 94305-4115 surprisingly successful for us in terms of beneficial email: [email protected] effect per minute spent was the adding of short (3-5 minute) computer demonstrations once or twice during
8 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Computers and Mathematics regular classroom iectures. Lecturing still remains very on their handouts, attach the printouts of graphs which much the center of the classroom presentation, but we helped them determine their answers, complete computer found that a couple of short demonstrations on the homework problems found at the end of each lab hand computer every period makes a substantial difference in out, and try to solve a particularly thought-provoking the level of understanding by the students, especially "challenge" problem. To increase the students' written on topics for which a changing picture or a careful communication skills, the report must also contain a graph makes a point more clearly and convincingly short paragraph discussing the central concepts covered than a hand-drawn static blackboard drawing. Some in the lab. The lab reports are quite easy for the student topics (like graphing) are simply more convincing to assistant to grade, and do count toward the course grade. students if produced on the computer; others (like what it means to double and redouble the number of inscribed rectangles under a function and add their areas) become clearer when a sequence of pictures and associated sums are presented in quick succession. Software Students seem to concentrate exceptionally hard on these computer presentations, and this concentration often leads to greatly increased student participation in class, The software for the project was chosen with the novice promoting valuable discussion and questioning of the user in mind. Our requirements were: 1) the student "but what if ... " type. should need no previous computer experience, 2) one We have developed effective short classroom demon package should be a strong Calculus tool, and one pack strations on about 3 5 topics in first and second semester age should be in the form of a tutorial, and 3) the Calculus. As one example, there is a program which student should need to invest very little time mastering draws the graph of f(x) on the screen, then asks the a software-specific syntax. To find the best software, user to draw f'(x) using the cursor or mouse and gives we held telephone interviews with faculty members at the person a grade on their attempt (like 85%). This sixty colleges and universities, and then performed an activity is extremely effective in getting students to think extensive review of the thirty pieces of software most about the geometric relationship between f(x) and f'(x). recommended in those interviews. For first semester Similar quizzes are presented for f"(x), and it is not Calculus using IBM PCs, we begin with Exploring Cal long before some students are better than the teachers culus on the IBM PC by Fraleigh/Pakula for both the in graphing f" from f. As another example, within 4 classroom demonstrations and for the laboratories. This minutes, students can be convinced of the existence of software together with our written laboratory handouts a continuous nowhere differentiable function, by seeing form the tutorial portion of the materials. By the fourth smaller and smaller sawtooth functions added to one week we begin shifting to the more powerful Microcalc another, and looking at the graph of the result. by Harley Flanders (our choice for the Calculus tool.) In Microcalc, differentiation can be carried out symbolically Laboratory Sessions as well as numerically and geometrically, but for integra tion, the symbolic approach is not yet included, at least In the once-per-week computer laboratory session, the not until version 5.0. Both these software packages have instructor gives an abbreviated 20-minute lecture at the worked out very well, although we incorporated some beginning introducing the topic of the day, and then additions and alterations into the Exploring Calculus the students are given a written 4-5 page set of labora software. Playing a smaller role in our project is CalcLab tory instructions. Students form teams of two (we were I by Peterson for outside class drill. Finally our software surprised to learn that pairs learn more actively than choice to provide symbolic integration, other symbolic singletons) and work through the handout under the manipulations, realiable 3D graphing, and much more, is guidance of their instructor and an undergraduate lab as the excellent Mathematica by Wolfram, for which we are sistant (paid $250 per semester through fees the students writing materials for three additional labs. The expense pay the university for general computer services.) The of Mathematica ($10,000 for only 16 copies, as opposed laboratory activities are interactive, requiring continual to Microcalc's site license for $425) has up to this time input from the students in order to proceed. Topics prevented us from implementing these three labs; how include how to find the slope of a curve, linear and ever past experience suggests that either Mathematica quadratic approximation, extrema of a function, New will soon offer an affordable site license for colleges and ton's method, the definite integral, a demonstration of universities, or the marketplace will produce a similar the Fundamental Theorem of Calculus, etc. Discussion, product that is affordable. The cost of purchasing all our interaction, and comparison of results between teams is site licenses (exclusive of M athematica) totalled about encouraged. Students fill in answers to various questions $1200 in one time costs.
JANUARY 1990, VOLUME 37, NUMBER 1 9 Computers and Mathematics
Hardware of the computer, and the Rule of Conservative Computer Use dictates not using the computer on such topics. In the 1988-1989 school year, our laboratory consisted of However, even if a teacher uses only two computer very old ICM PCs (called "dinosaurs" by our students); demonstrations per week, saving ten minutes each time, for classroom demonstrations we had a single IBM that still amounts to a savings of five hours over a fifteen clone with a hard drive, which was connected to a week semester. Telex Magnabyte LCD projection device. A recent NSF matching funds Equipment Grant will provide 17 new laboratory computers (Macintosh Hex) and 8 Imagewriter printers for a 32-student lab, and we are currently trying Laws for Use of Computers in Education (Adapted from Asi to raise funds for another such room. In addition to the mov's Laws of Robots) to classroom above, we shall place a Hex in yet another Rule 1) Computers must· not be used in a way injurious the learning process of humans (for example, must not classroom for classroom demonstration purposes. These shortcircuit human thinking and analysis by providing three rooms can, when properly scheduled, serve the lab premature "answers".) and classroom needs of up to 24 daytime sections of Rule 2) Computers should be able to provide all reasonable Calculus, plus several more at night, while still leaving information the human requests, except when such infor many hours open for free student use. It is important mation would conflict with Rule l. that the classroom computer/projection assembly be a Rule 3) (Rule of Conservative Computer Use in Education) fast machine with a hard drive in a security cabinet, Computers should not be used on any topic unless the ready to operate with the flick of a single switch. Two result is a genuine pedagogical improvement. more Hex's will be in the Department for easy access by faculty. Second, what about the lecturing time lost to the com puter labs? In first semester Calculus we have eight labs and we are writing three additional Mathematica labs, Is There Enough Class Time? and each lab costs a half hour of lecture time. But of course the labs themselves cover their topics very well, First, is there enough class time for the classroom enabling the teacher to spend far less time in class on demonstrations? The answer is easy: demonstrations these topics than usual. So for us, the lost lecturing time actually save considerable time, whether by demonstrating has not turned out to be a problem. The real extra time concepts so memorably that repetition is not necessary, requirement is imposed on the students because each of speeding through or by quickly graphing functions, or by our labs requires about one hour to complete, and after computational bottlenecks. Newton's method can be the abbreviated 15-20 minute lecture, there remains only the geometric taught in 5-10 minutes (including both a half hour of lab time, so students must make up the underpinning and numerical examples) instead of 15-30 other half hour on their own time. We have been able minutes or longer, and we found that seeing the geometry to solve this problem easily at our University because on quirkier displayed so clearly, repeated for progressively Tuesdays and Thursdays, classes are scheduled at 1 1/2 functions, makes the algorithm stick in the students' hour intervals instead of 1 hour, so we hold our labs on could. mind far better than any blackboard presentation Tuesdays to allow a full hour of lab time after the ab As another example, the delta-epsilon graphical computer breviated lecture. In this way many students finish their tutorial and quiz is by far the best way we have ever seen computer work in class. In general, however, there is to very quickly get students to intuitively comprehend certainly nothing wrong with letting students finish their the relationship which delta has to epsilon. Likewise we labs at their own convenience, and for this reason we strongly believe that students who see both the written station one of the lab assistants in the general computer proof and a dynamic geometric demonstration of the lab several hours each week. Fundamental Theorem of Calculus will remember this theorem better and longer than students who see only the proof and some blackboard drawings. Survey Results The question of whether to use the computer on a particular topic is at least partly answered for us by our A great deal of our effort has gone into the perfecting of Rule of Conservative Computer Use (see box). We apply the written laboratory handouts. We spent time sitting this touchstone to all our classroom demonstrations, by students, taking notes on what parts of the labs were laboratory handouts, and homework problems. causing them trouble and needed revising. Lab assistants' Use of the three Rules forces each of us who use the suggestions were also sought out. Through this repeated computer to formulate very specific and clear answers to revision process, the project is succeeding even better the important question, "why use computers?" Obviously than we had expected. The professors involved found many Calculus topics do not particularly profit from use the materials to be a genuine benefit in the teaching and
10 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Computers and Mathematics learning of Calculus, and in a survey given to all students AT&T 80386-based PC, the WGS, with 4MB of RAM involved in April 1989, 86% of the students agreed that an 80MB hard disk, and an 80387 math coprocessor. classroom demos were advantageous, and 78% found the In this review, I shall compare PC-Macsyma to other labs beneficial. These numbers signify, we believe, the PC-based symbolic algebra programs such as Mathemat success of our approach. The results of the two most ica and Maple (on a MAC II) and Derive (on the same general questions on a recent student evaluation were: AT&T WGS). This is not intended to be a review of the other programs. I refer the reader to the excellent reviews SA A N D SD 7 Using a computer in the classroom of Mathematica by Eugene Herman and of several other contributed to my understanding Symbolic Algebra programs by Simon and Wilson. 8 of the course material 12% 74% 10% 4% 0% I shall also compare PC-Macsyma to an older version Using a computer in the laboratory of Macsyma (version 412.61) running on a VAX 11/780 contributed to my understanding minicomputer. Several people in the Mathematics De of the course material 13% 65% 12% I 0% 0% partment at the University of Wisconsin have used this version. I asked one of them, Peter Orlik, to run some SA = Strongly Agree A = Agree N = Neutral D = Disagree SD = Strongly Disagree of the batch files he had developed on the VAX version of Macsyma on PC-Macsyma. User Interface An Invitation Basically, Macsyma uses a line editing system for inter We have developed materials for introducing computers acting with users. You type in a statement such as into Calculus which are clearly successful at our Univer sity. If you are interested in trying out these packaged labs and classroom demos at your own college or univer y:(x+1)/(x-1);} sity, we invite you to write us for copies of our materials: David James, Department of Mathematics and Statis tics, University of Michigan-Dearborn, Dearborn, MI and Macsyma responds with a multiline echoing of your 48128-1491. input as follows:
x+1
x-1 Reviews of Mathematical Software Special characters such as n, e, i and a must be input as %pi,% e,% i, and% alpha, respectively. Other programs such as Derive, do allow the user to use special key com Review of PC-Macsyma binations to input these special characters so that they Reviewed by Yvonne Nage/6 appear on the screen as they should. According to the Si mon and Wilson article, MathCAD and MATHSCRIBE Macsyma was one of the first interactive Symbolic do allow proper formatting of mathematics for screen Algebra programs. It was originally developed at MIT viewing. There has been no improvement in Macsyma from 1969 to 1982. Since 1982, the program has been in this direction. Although such a feature would make it further enhanced by the Computer Aided Mathematics easier for the user to understand Macsyma's responses, Group of Symbolics, Inc. PC-Macsyma is the version of it would also make it more difficult for him to use batch Macsyma written by Symbolics for 80386-based DOS files he may have created with older versions of Macsyma compatible PCs. The program requires an 80386-based running on other machines. PC-Macsyma allows the user PC with a math coprocessor, at least 4 MB of RAM and to save his output in TEX format which can then be about 16 MB of hard disk space. It is bundled with a processed to produce prettier formulas. This feature is run-time version of Microsoft Windows which gives it available through the windowing menu. a Macintosh-like interface. The installation instructions are well-documented. I was able to load and use the 7 Eugene Herman, "Mathematica - A Review", Computers and Mathematics, Notices of the American Mathematical Society, Vol 35 program in about an hour and 15 minutes. I used an No.7, November, 1988, pp. 1334-1344 8 Barry Simon and Richard Wilson, "Supercomputers on the PC", 6Yvonne Nagel manages the computers in the Mathematics Department Computers and Mathematics, Notices of the American Mathematical at UW Madison. Her email address is [email protected]. Society, Vol 35 No.9, September, 1988, pp. 978-1001
JANUARY 1990, VOLUME 37, NUMBER 1 11 Computers and Mathematics
The user interface for PC-Macsyma is a vast improve 3. Integration ment over the interface available on the VAX. Although Find the indefinite integral ; + x4 6 dx, then the user is still obliged to use line editing for input, he J1 +x +x +x can use a mouse or key combinations to access a menu differentiate it and simplify the result. of pull-down windows which can provide the command he needs. The Macsyma Help, Demo and Example li (C1) integrate((1+x)/(1+x-2+x-4+x-6),x); braries, which are extensive, are also available through (C2) diff(%,x); menus. Unfortunately, not every Macsyma command is (C3) ratsimp(%); available through the pull-down windows and some of the demonstrations and examples take a lot of time to view. Macsyma has a very rich language for symbolic 4. Matrices manipulation, but the new user needs a guide to explain The Hilbert matrix is defined by the differences between, say, ratsimp, radcan, scsimp, and xthru (all of these are Macsyma commands for Hn(i,j) = . ~ for i,j = 1, ... ,n simplifying expressions). To save time, I found it useful l+J- 1 to let the menus guide me to the proper Macsyma com mand and then looked up the details and examples in This matrix is ill-conditioned for large n. The problem the manual. For each menu item, one can select describe, is to find the largest Hilbert matrix which can be inverted examples, or demo with the mouse and PC-Macsyma will by the program. I used the commands then load the appropriate description, examples or demo If you are lazy, you can even choose for that command. (C1) h[i,j] := 1/(i+j-1)$ apply with the mouse and the command will appear on (C2) hn:genmatrix(h,n,n); your Macsyma "worksheet." (C3) invert(hn); A nice feature of PC-Macsyma, which is not available with the older versions, is syntax checking. If you have a to create and invert the nxn Hilbert matrix. I then used pair of mismatched parentheses, e.g., PC-Macsyma will n = 5, 6, 7 point this out with the comment Mismatched pair 5. 3D Plot and allow you to correct it before you hit return and have Plot the function ~:~;~ over the square -1 :S x :S 1 and to retype the entire line. Actually, you do not have to hit -1 :S y :S 1. The interesting point is what PC-Macsyma return. Ending a line with a $ or ; character is enough would do about the singularity at (0, 0). to tell PC-Macsyma to begin evaluating your expression. Editing is also aided by the ability to cut and paste lines (C4) y: (x-2-y-2)/(x-2+y-2)$ by using the mouse and the pull-down edit menu. This (C5) Plot3d(y,x,-1,1,y,-1,1); works like cutting and pasting on a Macintosh. PC-Macsyma was able to do the 3D-surface plot Benchmarks although the grid was coarser than the one produced by The following benchmark tests were taken from the Mathematica for this function. articles by Simon and Wilson and by Eugene Herman which we mentioned earlier. Summary The following table summarizes the performance of the 1. Roots various versions of Macsyma we used and of Mathemat Find the roots of the polynomial x 3 - x 2 - x - 1 over the ica and Maple on the Macintosh and Derive9 on the AT& complex numbers. T WGS. All times are in the form minutes:seconds. For the Hilbert matrices on Derive I used the built in Derive timer. The times for the other tests were less precise since (C1) allroots(x-3-x-2-x-1); my timing device could not accurately measure times less than 1 second. Also, each time given below represents Macsyma gave the roots to five-place accuracy. the time it took each program to do the computation and return a complete answer. 2. Factor Factor the integer 266382004787 using the command: 9 Derive was included in these tests because it is a symbolic manip ulation program which runs on the 80386-based PC. It is not in the same class as the other programs because it is not programmable and does not have as many capabilities. Still, it is easy to use and on the (C2) factor(266382004787); simpler benchmarks it performed as well as the others.
12 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Computers and Mathematics
I PC- Vax c4 (arcsin cz (tan 8) ) Test I Macsyma Maxsyma Mathematica Maple Derive ..,jb2c2-c4 Roots :05 :05 :04 :04 :04 + 21cl Factor 1:15 :30 :01 :01 :01 Integral 1:10 :20 :05 :15 3 b2 c2 (arcsin c2 (tan O) ) Differentiate :10 :07 :03 :05 ..,jbz c2-c4 Simplify :45 :05 :05 Hilbert(5) 1:20 1:10 :02 :05 :00_4 2lcl Hilbert(6) 3:25 2:20 :03 :08 :00.6 c2 (tan()) -c2 tan2 ()- c2 + b2 Hilbert(?) 11:50 11:25 :03 :12 :00.8 J 3D Plot 2:10 :06.4 2 Mathematica did one of the double integrals only. It could not do the second integral. Maple could not do the second integral. It did the double integral yielding the Difficult Integral following answer: I wanted to see what PC-Macsyma, Mathematica, and Maple would do with the following integration problem taken from a standard Calculus text. 10 The problem is to find the volume of the solid obtained by boring a square hole of side C through the middle of a sphere of radius B. It is problem 37 on page 936 of the Thomas and Finney text. The authors claim that Macsyma was able to do the integral in 20 minutes. This can be expressed as a double integral:
or, if we make a change of variables to cylindrical coordinates and integrate in (), the volume can be obtained by evaluating the single integral:
Compatibility To test whether PC-Macsyma was compatible with the VAX version, I asked Peter Orlik for some sample batch and lisp files which he had used with VAXIMA. He I tried to do the indefinite integrals corresponding to generously contributed these and his own time for this each of the definite integrals above. Here are the results: test. Peter had written his own Macsyma routines to PC-Macsyma could not do the double integral, it did compute matrices with polynomial entries which occur the second integral in 5 minutes, yielding the following in the invariant theory of certain groups. The calculations result: require Macsyma to invert a matrix of polynomials and to show that this inverse when multiplied by another matrix has only polynomial entries. The difficulty lies in performing the individual polynomial divisions for i b4 (tog (2lbl V-cz tanl O-c2+b2 + 2 bz + i c2)) the entries. One computation, for example, involved ..,j4 tanl 0+4 ..,j 4 tanl 0+4 dividing a polynomial in four variables of degree 30 by 2lbl a polynomial in four variables of degree 12. However, PC-Macsyma took 7-8 minutes to do an inversion which i b4 (tog ( 2lbl .,; -c2 tan2 0-c2+b2 + 2 b2 - i c2)) ..,j4 tanl 0+4 ..,j 4 tanl 0+4 took the VAX less than a minute. It is possible that we +--~~--~--~2~lb~l--~------~ could have done a larger matrix if we had created a larger swap file for the program. PC-Macsyma does seem to be compatible with the VAX version, however, since 10Thomas, George B. and Ross L. Finney, "Calculus and Analytic Geometry, Sixth Edition", Addison-Wesley, Reading, Massachusetts, LISP files generated by it on the VAX can be run on the 1984. PC.
JANUARY 1990, VOLUME 37, NUMBER 1 13 Computers and Mathematics
Conclusion coefficient, exact, linear and homogeneous methods, vari PC-Macsyma has both strengths and weaknesses. On ation of parameters, hypergeometric solutions, Whittaker the negative side, it was slower than any of the other solutions. Systems of Linear ODE's. Perturbation and programs we tested. It was only slightly slower than the Taylor Methods:Lindstedt's method, method of averag VAX version and Derive indicating that the slowness ing and method of multiple scales. Numerical Solutions: is probably due to the program itself rather than the Runge-Kutta for systems of ODE's, finite difference equa machine. It was considerably slower than Mathematica, tions. Integral Equations: Abel's method, Taylor series, Maple and Derive on the simplest benchmark tests. pseudo-Picard iteration, Taylor and Neumann series, However, this slowness must be balanced against Fredholm-Carleman series. some major strengths. Chief among these is its extensive Vector and Tensor Analysis library of well-tested routines. With one or two excep Vector calculus: dot and cross products, grad, div, curl, tions, PC-Macsyma has all the routines found in the Laplacian. Indicial Tensor Calculus: Einstein summation VAX version. Therefore, it can tackle a wider range of rules, indicial tensor assignment statements, covariant problems than, say, Mathematica or Derive. In addition, derivative and curvature, tensor symmetries and con Symbolics, Inc. has made major improvements in the tractions. Exterior calculus of differential forms: exterior user-interface to make it more competitive with more multiplication and derivative, Lie derivative, vector-form user-friendly programs. These improvements include the contraction. runtime version of Microsoft Windows, the use of the mouse and menus to make the help libraries and exam Graphics ples more accessible to users, the ability to save output Two-dimensional plots: parametric plots, vector fields, in TEX format, and the instantaneous syntax checking. adaptive density plots. Three-dimensional plots: hidden The original version of Macsyma already had the ability line removal, change of perspective, contour plots. Plot to import and export data in LISP or FORTRAN format utilities: user controlled color graphics, changing axes and 0'C-Macsyma has kept this feature. In addition, and scale, coordinate transformations, user-input labels Macsyma batch and lisp files developed on the VAX can and symbols, superimposing plots, hardcopy. be ported to the PC and vice-versa. This feature makes Utilities it possible to do development work on a PC and then Rational function based pattern matcher, assign math port the files to a larger machine. properties to symbols, translation of expressions in For A list of all the types of problems which can be solved tran and 'C', mix Fortran (or 'C') and Macsyma lan by PC-Macsyma is available from Symbolics. It contains guages, generate TEX output. approximately 150 items. I will list some of them below: Ordering Information Algebra: PC-MACSYMA is currently available from Complex Arithmetic, exact and floating point arith metic, algebraic integer identities, continued fractions, SYMBOLICS, Inc. substitution and part extraction, trigonometric and hy Computer Aided Mathematics Group perbolic functions and their inverses, Poisson series, 8 New England Executive Park East rank, determinant, inverse and triangularization of ma Burlington, MA 01803 trices, Gram-Schmidt orthogonalization, Moore-Penrose A single copy of PC-MACSYMA is $1950 ($1250 generalized inverse, orthogonal polynomials and related with academic discount). Academic purchases can buy functions (Bessel, Neumann, Hankel, gamma, Bernoulli, 10 copies for $5090, which makes it more expensive zeta, Euler, Erf, Fibonacci and Airy functions) than Maple but less expensive than Mathematica. Calculus: System Requirements Limits, Differentiation, Partial derivatives of unknown functions, Taylor and Laurent series, Pade approxi Minimum Recommended mants, indefinite and definite integrals, Laplace and Configuration Configuration Fourier transforms, Dirac delta functions and integrals, four methods of numerical integration, Fast Fourier Main memory 4MB 6MB transform, linear, separable and exact first order ODE's, Swap Space 8MB lOMB Hard Disk 30MB 40MB Laplace transform method for solving ODE's, Bernoulli Graphics EGA, CGA, or VGA EGA, CGA, or VGA and Riccati equations, Prelle-Singer method, initial and Windows runtime version MS-WINDOWS & boundary value problems. Second order ODE's: constant of MS-Windows MS-PAINT
14 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Computers and Mathematics
the equations is awkward and well below the quality one MathCAD for the Macintosh gets in an editor like MacEqn or MathType. Exponents seem to be a full line above the baseline of the equation. Reviewed by Mary Beth Ruskai11 In some cases, I found the result less desirable than single line alternatives like sqrt(x) or ajb. Nor is this entirely The IBM PC version of MathCAD has been favorably a matter of aesthetics; even simple equations take up reviewed in several journals, including this column (Sept., a lot of space if they involve exponents, fractions, and 1988), and some of my colleagues had mentioned it sub or superscripts. This limits the number of equations enthusiastically. Therefore, when MathSoft began to which can fit on a single screen, a real drawback in a advertise a Macintosh version, I decided it was worth complicated computation. In view of the Mac's superb trying. Unfortunately, the Macintosh interface leaves graphics capabilities, and the ease with which editors like much to be desired. As a result of my dissatisfaction, MacEqn were developed, there seems to be little excuse I have not used MathCAD very much. Therefore, my for the poor quality. comments should be regarded as a warning from one The documentation is reasonably clear in the sense frustrated user, rather than a comprehensive review. that things are easy to look up and understand in the The most serious defect is that MathCAD does not manual. However, the introductory section could be follow the familiar Macintosh rules for editing. As a greatly improved; at present, it does not warn the user result, using MathCAD is extremely frustrating for an of MathCAD's editing quirks. The advertising and ac experienced Macintosh user. For example, you cannot companying materials emphasize that equations can be select a region by the usual method of dragging the placed anywhere on the screen. However, this is some mouse, as you would expect. Instead, depending on what what misleading because the order in which equations you want to edit, you must click, double-click, or shift appear will affect the result. For example, if you place a click in an appropriate place. Once a region has been function definition below its graph, you will get an error successfully selected, the rules for cutting and pasting message when you ask MathCAD to plot the graph; the are fairly standard. Finding the right spot to click can defining "equation" must appear above the graph. be a challenge, though. As the manual warns, "You can't MathSoft recently released an upgrade to version 2.03 edit an equation by clicking the insertion point on a which remedies one of my earlier complaints. Math CAD blank spot within an equation. You must instead click relies on long menus, whose keyboard equivalents are somewhere on a name number, or operator. If you click obscure at best. These menus now float, i.e., you can on a blank spot and begin typing, MathCAD beeps and drag them so that they remain visible while working in does nothing." While one could probably get used to the MathCAD document window. There is also a version MathCAD's editing quirks with sufficient use, they are of 2.03 which supports the 6888x math coprocessor. a definite deterrent for both beginners and occasional For those who still want to give MathCAD for the users. Macintosh a try, it should be noted that MathSoft (1-800- MathSoft's advertising emphasizes that equations ap MATHCAD) offers substantial educational discounts for pear in familiar (wysiwyg) mathematical notation. Al both single-copy and bulk orders. The system require though this claim is literally correct, the appearance of ments are MacPlus or better (SE or Macll) and system version 6.02 or later. It needs at least one megabyte RAM and either two disk drives or a hard disk. All 11 Mary Beth Ruskai is a Professor in the Department of Mathemat ics at the University of Lowell, MA 01854. Her email address is: Mac-compatible printers are supported, including the [email protected] or [email protected]. laser-writer.
JANUARY 1990, VOLUME 37, NUMBER 1 15 Inside the AMS
CEEP and the Annual Survey The 12th Annual Survey (with data for the academic Edward A. Connors years 1967-1968 and 1968-1969) was the first to use a classification of departments by the highest degree Moreover, the Ph.D. grant Chair, AMS-MAA Committee on Employment conferred in mathematics. departments were separated into four classifications Policy ing and Educational based on the 1964 survey conducted by the Ameri The AMS Council and the MAA Board of Governors can Council of Education (October 1968 Notices). The have agreed to the request from the AMS-MAA Com 14th Annual Survey expanded the scope to include data mittee on Employment and Educational Policy (CEEP) on graduate student support and the annual projected that its Data Subcommittee be established as a standing faculty growth for a five-year period. joint committee. This action was initiated because Data At the Annual Meeting in Atlantic City in January had outgrown its subcommittee "space" within CEEP, as 1971, the Council of the AMS voted to expand the evidenced, for example, by the preponderance of data charge of the Committee to Advise on Analysis of items on each CEEP meeting agenda. Moreover, the Employment Data (the successor to the Committee on importance of the data gathering and publishing activity the Economic Status of Teachers) and rename it as justifies a separate, more visible committee. The occasion the Committee on Employment and Educational Policy. provides the opportunity to reflect on some of the his The members were Richard D. Anderson, William L. tory of the Committee on Employment and Educational Duren, Jr. (chair), John W. Jewett, and Gail S. Young. Policy, whose existence spans the period of post-Sputnik As part of the expanded charge the Committee members growth in the mathematical sciences to the present time. were granted permission by the editors of Notices to CEEP had its origins in the AMS Committee to make editorial comments in Notices on the data gathered Investigate Present Economic Status of Teachers (later by the Committee from various sources, including the shortened to the Committee on the Economic Status of published data of the CBMS Survey Committee. The Teachers). In August 1956 the President of the AMS first of these comments, entitled "The Problems of was asked to appoint a committee to study the eco Employment in Mathematical Sciences", was written by nomic status of teachers, with consideration restricted Gail Young (August 1971 Notices). It was the first of to mathematicians rather than teachers in general. The several such articles written by Young, Dick Anderson, Committee appointed was: George N. Garrison, Wallace John Jewett, Wendell Fleming, and others. At the 1971 Givens, and Henry M. Schaerf, with Givens as chair. summer meeting at Pennsylvania State University, CEEP Its first task was a modest salary survey, reported in the held a panel discussion on the then current job market. December 1957 Notices, which surveyed 61 departments The faculty flow analysis presented by Dick Anderson at of mathematics that had been polled in the 1955-1956 the panel discussion was written up in summary form by Survey of Training and Research Potential in the Math Lincoln Durst, Deputy Executive Director of the AMS, ematical Sciences (the Albert Survey). Soon thereafter and published in the October 1971 Notices. the AMS Council directed the Executive Director to CEEP continued to expand its work well beyond make "a survey of mathematicians' salaries on an an its Annual Survey responsibilities. The very successful nual basis and publish the results in Notices" (October Short Courses were begun as a means of retraining pure 1958 Notices). It was believed that publication of salary mathematicians for computer science and applied math data "would be useful in efforts to obtain satisfactory ematics. Meetings for heads and chairs of departments salaries for mathematicians". In 1960 the survey was of mathematical sciences were organized at the annual expanded to include the starting salaries of new Ph.D.'s and summer meetings. Nonacademic salary surveys have in mathematics. been conducted by Bob Thompson and Arthur Mattuck.
16 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Inside the AMS
A full membership survey was conducted in 1976. Re report its conclusions to the Executive Committee of the cently the new publication, Assistantships and Graduate Council and the Board of Trustees. At regular intervals Fellowships in the Mathematical Sciences, carrying infor (every five years) the LRPC is to become intensely active. mation formerly published in the special December issue Following this schedule, we are undertaking a serious of Notices, was developed under the auspices of CEEP. review of the AMS during 1990. By the end of the In the meantime, the scope of the Annual Survey ex year, we expect to have proposals enabling the Society to panded to include data on enrollments, class size, faculty better meet the needs of its members and the needs of and graduate student size and status, faculty mobility, the profession. The first step is to gather information and status of women in the faculty, and other statistics vital ideas. We solicit your responses to three basic questions: to the needs of the mathematical community. To the * Does the AMS do what it does well? that it is feasible, counts are now made by sex extent * What should the AMS be doing that it is not doing? citizenship. A list of thesis titles of new doctorates and * What does the AMS do that it should not be doing? is reported annually. In 1987 CEEP became a joint AMS-MAA committee, and the MAA now contributes We have a number of more specific (but still wide financial support for the Annual Survey. ranging) questions that warrant serious answers. Some of In connection with its data gathering efforts, CEEP them are listed below. Please write to us with your ideas has maintained a close working relationship with the on these or other issues. CBMS Survey and, more recently, with the Science Resource Studies Division of the National Science Foun Some of the questions dation. The affiliation of the AMS and MAA with the Commission on Professionals in Science and Technology Are we doing what we should for mathematics education? (formerly the Manpower Commission) has provided a There has been a swell of public attention to the is valuable link to data gatherers and analysts in our sister sue of mathematics education in kindergarten through sciences and industry. graduate school. Some other organizations, notably the In the words of its former chair (Don Rung of Penn Mathematical Association of America, National Council sylvania State University) CEEP has been a committee of Teachers of Mathematics, and Mathematical Sciences of "worker bees". Certainly the efforts of Bill Duren, Gail Education Board, are working vigorously on mathematics Young, John Jewett, Dick Anderson, Wendell Fleming, education, but the AMS is relatively quiescent even on Lida Barrett, and Don Rung justify that characterization. graduate and undergraduate education. Are there actions But none has worked as hard as the dedicated members the AMS could and should take; for instance to facilitate of the AMS staff in Providence: Lincoln Durst, retired the engagement of mathematicians in educational issues, Deputy Executive Director, Jim Maxwell, present Asso to build channels of communication between mathemati ciate Executive Director, and, especially, Marcia Almeida cians and high school teachers, or to recruit more young and Monica Foulkes. people into mathematics? As we prepare to move into the 1990s and toward the Underrepresented groups. There has been much talk 21st Century, it is abundantly clear that the mathematical about the fact that women and minorities are dramat sciences will need good, hard data to chart their course ically underrepresented in mathematics. What concrete and bolster their arguments for increased support. The steps can the AMS take to make a genuine improvement Data Committee will continue to work to gather, analyze in this bad situation? and publish vital information necessary for this purpose. How well does the AMS fulfill its role as a professional It is hoped that the new committee will be a clearinghouse organization? There are major differences between the of information on the mathematical sciences and a means AMS and many other professional organizations. Should of avoiding the plethora of ad hoc surveys which flow we set up sections based on subfields of mathematics through departments at an ever-increasing rate. or various activities, such as education or computing, which might organize conferences or publish journals? Should we establish strong local or regional bases of Advice Sought operation? Should we get more involved in advocacy for William P. Thurston, Chair professional standards and working conditions within colleges and universities? Should we increase or decrease in governmental and public affairs in Planning Committee our involvement Long Range Washington? The Long Range Planning Committee (LRPC) is a Can we do something to heal the compartmentaliza standing committee of the Board of Trustees of the tion and stratification of mathematics and mathematics Society. Briefly, the charge to the LRPC is to review education? Mathematics education in our country is the functioning of the Society and its priorities, and to handled by a vast compartmentalized and stratified
JANUARY 1990, VOLUME 37, NUMBER 1 17 Inside the AMS structure with little communication between the com Franklin P. Peterson, AMS Treasurer, Massachusetts Institute partments. Mathematical research is also divided into of Technology compartments with less than ideal communication. The Hugo Rossi, member of AMS Executive Committee, University corr~partmentalization arises partly from different pro of Utah, [email protected] fessiOnal organizations claiming different parts of the territory. What should the AMS do? William P. Thurston, Chair of LRPC and member of AMS Ex University, What can we do to improve the structure and gover ecutive Committee, Princeton [email protected] nance of the Society? Are there ways we should change the. governance of the AMS? Are there structural changes which would make the Society more responsive to the needs of the mathematical community or increase the in volvement of the mathematical community in initiatives (Continued from page 2) of the Society? Which directions should we pursue in publications? Journal Price Survey- Threatened Most of the budget and staff activity of the AMS is in Most of G & B's objections to the methodology are publishing. Through publication, the AMS provides an familiar ones and apply equally to most journals. In exchange of mathematical information and also gener particular, for every journal in the survey we used ates funds that help the Society provide other services. the "list" price; many of these journals offer discounts ~he Society h~s the ability and the responsibility to pub from list for libraries, individuals and others. Indeed, hsh at low pnces compared to commercial publishers. every effort was made to make the data in the survey We are taking steps to get our books into bookstores as complete and as accurate as possible. Publishers and we have many opportunities for dramatic expansio~ including G & B, had an opportunity to correc~ of publications. In which directions should we go: grad any errors they saw. Page charges, outside support uate texts, undergraduate texts, specialty journals more and discounting structures are all reported in the translation journals, popular books, other? ' survey and indicated as variables necessary to take What can the AMS better do for its members? Do into account in any analysis. While membership dues our meetings speak to the interests and needs of math conceivably could be a factor in the price of a ematicians? Are most talks either too specialized too society's journals, it is not actually a source of support high-brow, or too numerous? Should we place em mor~ for journals other than those provided as a privilege phasis on professional concerns besides research? Should of membership. Since all journals in the survey are we invite more outsiders to speak? Should we change research level, there is no a priori reason that some the content of the Notices, or offer other journals to have a restricted potential market. members? Should we link with more local, regional or There is simply no basis for the attack made by specialized meetings? Should we establish networks or ~ & B on AMS. G & B are entitled, if they wish, to consulting services on such common issues as com dispute the methodology, even though we find their puters, libraries, language problems, textbook selection arguments to be thin and self-serving. An open flow curricular innovations? ' of information (and if needed an open debate) is in the best interest of all concerned. From this line of Addresses reasoning, we agreed to print the "advertisement" of G & B, even though the tone for the "advertisement" Comments should be mailed to is regrettable. What G & B ought not to do, in our opinion, is to threaten the collection and dissemination Long Range Planning Committee, American Mathematical of information by letters from legal counsel. PO Box 6248, Providence, RI 02940 Society, Price surveys of mathematical research journals or by email to [email protected]. We will. assume that we may, at our discretion, share your are not the only such studies under threat. Gordon response with the Officers and Council of the AMS. & Breach is suing the American Institute of Physics over an article and a letter about the costs of profes The members of the LRPC for 1990 are: sional journals that were published in AlP's monthly Robert M. Fossum, AMS Secretary, University of Illinois at magazine, Physics Today. Publishers must depend on Urbana-Champaign, [email protected] clientele and it is difficult to believe that threats and Ronald L. Graham, Chair of AMS Board of Trustees AT&T actions of this kind can be other than counterproduc Bell Laboratories, Murray Hill, [email protected] ' tive. William Jaco William H. Jaco, AMS Executive Director Executive Director [email protected] '
18 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Washington Outlook
address themselves. They deplored the textbook situation This month's column is written by Hans J. Oser, who is and the inadequacy of teacher training. To make science a consultant to the Office of Governmental and Public attractive to the K-12 age group, they also called for bet Affairs of the Joint Policy Board for Mathematics in ter equipment, more demonstrations and less textbook Washington, D.C. learning. Rather than seeing students with increased cu riosity about nature as they advance to secondary school, the witnesses found the students' lack of comprehension The 1990 budget has still not been enacted, even though about our environment rather appalling. For example, we are, at this writing, already seven weeks into the less than half of our college graduates are able to explain fiscal year. The uncertainty over the final 1990 budget why the summers are hot and the winters are cold, the dominated the agenda when Erich Bloch met with the majority of them believing that it has to do with the advisory panel for Mathematical Sciences Division at distance of the earth from the sun. NSF in early November. Now that the proposed doubling Better textbooks and better teacher training are des of the NSF budget has been side-tracked for the third perately needed, especially in view of the demographic time, Bloch seems convinced that government funded fact that from now until 1995 only 15% of the net in R&D is in for an extended period of belt tightening. As crease in the workforce will be white males, traditionally the amounts to be saved in the deficit reduction process the large majority of the workforce. We must prepare become larger every year, and tax increases continue women and minorities for professional careers in science, to be very unlikely, Bloch feels that the years of rapid technology and mathematics. It is no secret that we are growth for the NSF research budget have probably run not doing it well now. their course. He made it clear to the mathematics panel that the long neglect of education requires adjustments From time to time, the NSF director issues so-called in the balance between the support for research and for Important Notices to presidents of colleges and univer education and that the pendulum had simply swung too sities and other grantees. Two of these were issued in far in the other direction. 1989 that deserve attention because they signal depar The emphasis on higher investments in education has tures from past policy and practice. The first, IN-106, a strong resonance in Congress, where both the House was issued in April 1989 and deals with the openness of and the Senate have held hearings on the issue of math scientific communication with respect to the timeliness ematics and science education. We have reported on the of publication and to authorship accurately reflecting the hearings by the House Committee on Science, Space, contributions of those involved. The notice also recom and Technology which continued throughout spring and mends that universities develop policies and guidelines summer. On 14 November, Senator Kennedy's Commit to deal with alleged incidents of fraud and misconduct. tee on Labor and Human Resources held hearings on The second notice, IN-107, published in September, "The Crisis in American Math, Science, and Engineering reflects the new NSF emphasis on education and human Education". Besides presenting the usual statistics on resources (see Notices, October 1989, page 1003). the poor performance of our high school students in The Joint Policy Board for Mathematics welcomes international science and math competitions, the wit comments about Washington Outlook. You can reach nesses were quite blunt in their calls for a national set us over the Internet communications network under the of standards to which the 11 ,000 school districts should address: [email protected]
JANUARY 1990, VOLUME 37, NUMBER 1 19 News and Announcements
Louise Hay of the theory of index sets. Dur matics. An autobiographical memoir, 1935-1989 ing the 1980s her interests turned to published in the AWM Newsletter complexity theory. She studied the ["How I Became a Mathematician Louise Hay, Head of the Department class of predicates which are truth ta (or how it was in the bad old days)", of Mathematics, Statistics, and Com ble reducible to predicates calculable September-October 1989, page 8], puter Science at the University of in nondeterministic polynomial time describes the many challenges she Illinois at Chicago, died October 28, and reducibilities that allow only a had to face and acknowledges the en 1989 of cancer. She became in 1980 bounded number of queries. In still couragement of established women the only female head of a major other directions, she authored with mathematicians, specifically Hanna research-oriented university mathe A.O.L. Atkin and Richard Larson Neumann. She repaid that debt many matics department in the United two papers on combinatorics; sev times by her advice, both mathemat States. She had a world-wide rep eral expository papers that she wrote ical and practical. The many math utation in mathematical logic and in the late 1970s reflected her long ematicians she strongly affected in theoretical computer science. concern with mathematical educa clude her two Ph.D. students, Nancy Born as Louise Schmir, to Polish tion. At her death she was serving as Johnson and Jean-Leah Mohrherr. emigres in Metz, France, she spent an Associate Editor of the American The key to Hay's effective Head some time as a refugee in Switzer Mathematical Monthly. ship was her ability to rule demo land before emigrating to New York A member of the AMS since 1958 cratically. She listened carefully to in 1946. Her 1952 project on non and the MAA since 1962, Hay served diverse opinions before making de Euclidean geometries was a winning on the AMS-MAA-SIAM Commit cisions. She strongly supported the entry in the Westinghouse Talent tee on the Status of the Profes Department's commitment to excel Search. She graduated from Swarth sion (1983-1985) and represented lence in all branches of mathematics more College in 1956 and received an the AMS at the AAAS ( 1986-1989). and led the remarkably successful ef M.A. ( 1959) and Ph.D. ( 1965) from She served on many panels and com fort to recruit faculty to fulfil that Cornell. She was a Post-Doctoral Fel mittees devoted to the advancement commitment. She will be long re low at M.I.T. in 1966-1967. After of the profession. An active member membered as a mathematician, as an several years at Mt. Holyoke Col of the Association of Symbolic Logic educator, and as a person. lege she joined the University of since 1959, Hay was Secretary of John T. Baldwin Illinois at Chicago Circle in 1968. the Association from 1978 to 1982, University of Illinois at Chicago Her later visiting positions included served on the membership commit a Fulbright in the Philipines. tee (1981-1984) and as the repre Hay worked primarily in recur sentative of the Association to the National Medals of Science Awarded sion theory and theoretical computer Conference Board on the Mathemat science. Her thesis represented a ical Sciences from 1978 to 1984. Hay On October 18, 1989, President Bush substantial advance in the Dekker was a founding member of the Asso awarded National Medals of Sci Myhill-Nerode theory of recursive ciation for Women in Mathematics. ence to nineteen scientists, engineers, equivalence types and isols. She clas She served on the executive commit and mathematicians. The medal, the sified the index sets of finite classes tee of that organization ( 1980-1982) highest national award in science, of r.e. (recursively enumerable) sets and on its council from 1987 until is conferred by the President in and studied the difference hierarchy her death. recognition of outstanding contribu on r.e. sets. With Douglas Miller, Hay strongly advocated an in tions to the advancement of knowl she developed a topological analog creased role for women in mathe- edge. Among the recipients were
20 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY News and Announcements three mathematicians, Samuel Kar stattsttcs, probability and stochastic itself later proved to be extremely lin of Stanford University, Saun processes, total positivity, approxi useful in combinatorics. Orthogonal ders Mac Lane of the University mation theory, and mathematical bi polynomial representations of transi of Chicago, and Donald C. Spencer ology. His work encompasses a wide tion kernels led to further discoveries of Princeton University. range of applications in inventory of TP properties of various polyno The National Medal of Science processes and queueing systems, op mial classes. With a wealth of results was established by Congress in 1959. erations research, population models of the 1960s-e.g., on TP proper Selection is based on the total im in genetics, and statistical analysis ties of first passage distributions and pact and importance of an individ and development of algorithms for absorption probabilities-the signifi ual's work on the present state of identifying and evaluating patterns cance of total positivity in mathemat his or her chosen field. In addition, in DNA sequences. ics was firmly established. A unified achievements of an unusually signifi The application of operator the presentation of the basic concepts cant nature are considered in relation ory, fixed point theorems, total pos of total positivity and their refine to their potential effects on the de itivity, convexity and extreme point ments, and many ingenious appli velopment of scientific thought. theory, moment spaces, integral equa cations in analysis, probability, dif Samuel Karlin was awarded the tions and other analytic tools in ad ferential equations and inequalities, National Medal of Science "for his vancing game theory, operations re appeared in Karlin's definitive Total broad and remarkable researches in search, and mathematical economics Positivity volume in 1968. mathematical analysis, probability marks Karlin's work in the early In the early 1960s, Karlin's sem theory and mathematical statistics, 1950s. His two volumes on Mathe inal lectures on multivariate statisti and in the application of these ideas matical Methods and Theory in cal analysis contributed importantly to mathematical economics, mechan Games, Programming and Mathe (via unpublished lecture notes) to the ics, and population genetics." matical Economics ( 1959) have been development of tools, based on topo a unique source of information for logical groups and invariance, for students and researchers. calculations of densities and distri In the early 1950s, inspired by I. butions arising in statistics. Karlin J. Schoenberg, Karlin embarked on also used these tools in the determi his longstanding involvement with nation of TP properties of elaborate the theory of Total Positivity. His re distributions. search in the basic theory of this field, TP properties of polynomial se and the vast scope of applications he quences and various classes of splines, introduced, had a major impact on and, more generally, of Tchebycheff its development and recognition. systems and their significance in anal Totally Positive [TP] kernels (ma ysis, were investigated by Karlin in trices) can be characterized by their the 1960s and 1970s in papers and variation diminishing property: they a book ( 1966, with W. J. Studden). preserve or diminish oscillations in Karlin's work in this period estab functions (vectors) when viewed as lished the distinct role ofTchebycheff integral (matrix) transformations. systems in analysis, interpolation and Karlin's discovery of the relevance approximation theory, the geometry of total positivity in statistical deci of moment spaces, inequalities and sion theory and its ubiquity in sta generalized convexity, and statistical tistical models, led to decisive results experimental design. published in the 1950s, including The notions of oscillations and Samuel Karlin central concepts such as monotone sign changes are essentially one di The Managing Editor of Notices likelihood ratio and optimality prop mensional. Karlin foresaw the po asked Yosef Rinott of the University erties of related classes of statistical tential for multivariate extensions of of California at San Diego to com tests. An important class of TP ker TP concepts, and some of his work ment on Professor Karlin's research. nels comprise the transition kernels in the 1980s provides theory in this Professor Rinott responded: of continuous Markov processes (dif direction. Multivariate TP concepts Samuel Karlin has made funda fusions, birth-death processes). This are related to the FKG condition in mental contributions in diverse ar was discovered via a beautiful iden statistical mechanics and to multi eas of pure and applied mathematics tity connecting subdeterminants of variate log-concavity and generalized including functional analysis, game the transition matrix to probabili concavity, with applications in statis theory and mathematical economics, ties of certain events. The identity tics, multivariate splines and approx-
JANUARY 1990, VOLUME 37, NUMBER 1 21 News and Announcements imation theory, and multivariate in curiosity and stamina profoundly in In the late 1970s and early 1980s, equalities. spired and stimulated others. Some Karlin began work on evolution of Along with his work on total pos of the work described above is joint continuously varying traits. To solve itivity, Karlin continued his pow with students and colleagues who these problems, he proved elegant re erful and penetrating research in joined Karlin on certain legs of his sults about matrix linear fractional areas such as stochastic processes, remarkable excursion in pure and transformations. These studies intro statistics, matrix theory and analysis. applied mathematics. duced him to applications in human Some examples are his fundamental The Managing Editor of Notices genetics and led to his statistical con work (partly in collaboration with J. asked Marcus W. Feldman of Stan tributions in human genetic epidemi McGregor) on representations, clas ford University to comment on Pro ology. Here he introduced a class of sification and limit theorems in birth fessor Karlin's research in mathe exploratory statistical techniques to death processes, renewal theory, urn matical genetics. Professor Feldman classify levels of familial aggregation models, and branching processes with responded: for traits with complex patterns of constant and random environments; In the early 1960s, Karlin be inheritance. In these studies, he col a variety of results on inequalities gan to apply work that he had done laborated extensively with medical including matrix and operator eigen on branching processes to stochastic researchers. value inequalities, partly motivated processes that arise in the evolution In the early 1980s, he began to by models in biology, which attained of small populations. He developed study models for the evolution of major significance in connection with mathematical results for multitype altruism that had achieved promi large deviation theory; and basic re branching processes with the total nence in behavioral ecology. Often sults on properties of spline func number of individuals conditioned these studies have been linked with tions in interpolation and approx to be a fixed number. This also re questions of the optimal sex-ratio in imation. Karlin's classical textbook sulted in fundamental results on the populations. Karlin became involved on stochastic processes, uniquely rich conditions under which diffusion ap in sex-ratio studies in 1983, work with interesting examples from many proximations would be valid in de which culminated in his book Sex fields of science, is evidence of his scribing the discrete time evolution Ratio Evolution, with Sabin Lessard, capabilities as a teacher and educa of small, genetically variable popula now at Montreal. The sex-ratio work tor. tions. ties together subjects such as re Since the 1970s, much of Karlin's Later in the 1960s and early strictive mating systems and two-sex research endeavors were motivated 1970s, Karlin became interested in models of natural selection, showing by biology. In addition to his work the mathematics of inbreeding and how to view these as parts of a single in mathematical biology, Karlin be other restrictive systems of matings. mathematical framework. came involved in data analysis in Much of this work is described in In the past five years, much of epidemiology and later in algorithms his book, Equilibrium Behavior of Karlin's time has been devoted to ap and statistical analysis for DNA se Population Genetic Models with Non plying stochastic processes and com quences. Karlin objected to statistical Random Mating. At this time, he also binatorics to questions that arise in analysis which is obscured by com began his work on the mathematical molecular biology. He has developed plex models whose assumptions are theory of recombination and selec numerical algorithms for detecting at best questionable, and his natural tion. Over the period from 1970 to patterns with DNA sequence as well suspicion of dogma led to rejection of 1979, in work with his students, he as models for the distribution of all-purpose packaged statistical pro presented the first formal mathemat lengths and organizational pattern grams. Instead, he developed his own ical representations of selection on of cloned DNA segments. This has data-driven statistical approach and multigene systems. This involved a recently been extended to analysis efficient algorithms for its implemen new representation of the recombina of proteins, where he has developed tation. At the same time, his contact tion process as well as a classification techniques for generating distribu with the DNA data stimulated his of an important class of selection tions of patterns of amino acids. recent elegant and influential work models in terms of Kronecker prod Such patterns often suggest relations on stochastic properties of patterns ucts of elementary matrices. In these between the sequence and the func and similarities in random letter se studies, and his work on selection tion of specific parts of the protein. quences. in subdivided populations, Karlin's In all of these applications to bi Karlin's outstanding scientific power in matrix analysis and total ology, Karlin has made it his practice achievements attracted numerous sci positivity was frequently applied. El to read widely in the biological lit entists to seek his collaboration and egant stability criteria resulted from erature and to become very familiar advice, including over fifty Ph.D. stu the spectral analysis of a wide variety with the relevant empirical data. As dents. His deep insight, scholarship, of interesting matrices. a consequence, his work is published
22 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY News and Announcements in the full array of population biol collaboration in the creation and de Mac Lane and his collaborators, espe ogy and molecular biology journals. velopment of the fields of homolog cially Samuel Eilenberg, changed the He has had a profound influence on ical algebra and category theory, for language, and therefore also the con the direction and quality of research outstanding contributions to math tent, of modern mathematics. in mathematical biology of the past ematics education, and for incisive Mac Lane also pioneered the devel twenty-five years. It is probably fair leadership of the mathematical and opment of many of the applications to say that he has been the greatest scientific community." of homological algebra to topology reason for the legitimacy of mathe and algebra, and he initiated sev matical biology as a central branch eral of the major areas of interest in of applied mathematics. category theory. Biographical Sketch. Samuel It is a truism that mathematical Karlin was born on June 8, 1924, in thought is limited by its means of Yonova, Poland. He received his B.S. expression. The clarity and beauty at the Illinois Institute of Technology of the categorical language intro in 1944 and his Ph.D. at Princeton duced by Eilenberg and Mac Lane University in 1947. He spent the revolutionized the way people think next nine years at the California In of mathematics. The machinery of stitute of Technology, attaining the homological algebra vastly extended rank of professor in 1955. In 1956, the range and calculational power he moved to Stanford University as of such fields as algebraic topol Professor of Mathematics and Statis ogy and algebraic geometry. What tics; in 1978, he was named to his is particularly striking is the philo current position as the Robert Grim sophical depth and insight which mett Professor of Mathematics. Mac Lane has brought to his mathe Karlin has received numerous hon matics. The new language of category ors, including an honorary D.Sc. theory, for example, was directly in from Technion-Israel Institute of fluenced by Mac Lane's reading of Technology and election to the Na Kant. It is the perfect harmony and tional Academy of Sciences and the evident rightness of the new categor Saunders Mac Lane American Academy of Arts and Sci ical and homological language that ences. He has received the NAS The Managing Editor of Notices led it to be adopted without change Award in Applied Mathematics, the asked J. Peter May of the University by mathematicians throughout the Lester R. Ford Award of the Mathe of Chicago to provide a sketch of world. There are literally thousands matical Association of America, and the career and accomplishments of of papers that have been written the John von Neumann Theory Prize Professor Mac Lane. Professor May over the past 45 years that could not of the Operations Research Society responded: have been conceived and expressed of America. He also served as An Saunders Mac Lane was born on without the language introduced by drew D. White Professor-at-Large August 4, 1909, in Norwalk, Con Eilenberg and Mac Lane. at Cornell University from 1975 necticut. He was an undergraduate Mac Lane has also been an ex to 1981. Among the many named at Yale University ( 1926-1930) and ceedingly influential educator. The and invited lectures given around a graduate student in mathematics textbooks he wrote in collaboration the world by Karlin are: the Josiah at the University of Chicago ( 1930- with Garrett Birkhoff have changed Willard Gibbs Lecture of the AMS, 1931). He spent 1931-1933 at the the way that modern algebra is taught the Sir Ronald Fisher Lecture of the University of Gottingen, where he to undergraduates. His graduate-level Royal Society of Britain, the First received his D.Phil. After brief stints textbooks are standard references. Mahalonobis Memorial Lecture of at Yale (1933-1934), Harvard Uni His many graduate students, several the Indian Statistical Institute, and versity (1934-1936), Cornell Univer of whom are themselves among the the First Abraham Wald Memorial sity ( 1936-1937), and Chicago ( 1937- leading American mathematicians, Lectures of the Institute of Math 1938), he taught at Harvard ( 1938- form a living legacy. His ebullient ematical Statistics, of which Karlin 194 7) and then at Chicago ( 194 7- style of lecturing will long be re was president (1978-1979). 1982), where he served as chairman membered by those fortunate enough Saunders Mac Lane was awarded of the Department of Mathematics to have learned from him. Indeed, the National Medal of Science "for (1952-1958). students at Chicago are fortunate revolutionizing the language and con By their invention of homolog enough to have that opportunity still. tent of modern mathematics by his ical algebra and category theory, Mac Lane's energy and enthusiasm
JANUARY 1990, VOLUME 37, NUMBER 1 23 News and Announcements are undimmed, and he is a regular versity ( 1969). He held Guggenheim student at the University of Col participant in many seminars and a Fellowships in France and Switzer orado (B.A. in physics, 1934) and at teacher of occasional courses. land, 1947-1948, and in England and the Massachusetts Institute of Tech Mac Lane's contributions to un Denmark, 1972-1973. In 1967, he nology (B.S. in engineering, 1936). dergraduate education were recog was a Fulbright Fellow at the Aus He received his postgraduate edu nized in 1975, when he was awarded tralian National University. cation at Cambridge University in the Distinguished Service Award of Since 1933, Professor Mac Lane England (Ph.D. 1939, Sc.D. 1963). the Mathematical Association of has been a member of the AMS. His doctoral thesis, "On a Hardy America. His contributions to re In addition to serving as president Littlewood problem of diophantine search mathematics and graduate ed (1973-1974), he has been very active approximations and its generaliza ucation were recognized in 1986 in Society affairs, serving as member tions," which was completed un when he was awarded the Steele Ca at-large of the Council ( 1939-1941 ), der the direction of J. E. Little reer Prize of the AMS. Editor of the Bulletin ( 1943-1947), wood, initiated Spencer's remark Mac Lane also has had a long his Editor of Transactions (1949-1954), able mathematical career. Spencer tory of effective leadership of both and Editor of the Colloquium Series taught at MIT ( 1939-1942), Stan the mathematical community and ( 1966-1972). ford University ( 1942-1949, 1963- the broader scientific community in Donald C. Spencer was awarded 1968), and at Princeton University America. He has been president of the National Medal of Science "for ( 1949-63, 1968-1978). His honors the Mathematical Association of his original and insightful research and distinctions include: Eugene Hig America (1951-1953), vice-president that has had a profound impact on gins Professor at Princeton ( 1971- of the American Philosophical Soci 20th-century mathematics, and for 1972), Henry Burchard Fine Profes ety ( 1970-1971 ), and president of the his role as an inspiring teacher to sor at Princeton ( 1972-1978), Sc.D. AMS ( 197 3-197 4). He served as vice generations of American mathemati honoris causa from Purdue Univer president of the National Academy of cians." sity ( 1971 ), Scott Visiting Professor Sciences ( 1973-1981) and chairman of Mathematics at the University of its Report Review Committee; in of Pennsylvania (Fall, 1964), joint the latter capacity, he worked very recipient with A. C. Schaeffer of hard to improve the standards of the the Bocher Memorial Prize ( 1948), influential reports of the National elected to the National Academy of Research Council. Concurrently, he Sciences ( 1961) and to the Ameri served as a member of the National can Academy of Arts and Sciences Science Board (1974-1980). His ac ( 1967), Colloquium Lecturer at the tivities in these positions have had AMS summer meeting ( 1968). In a significant impact on the develop 1978, he retired from Princeton as ment of science policy in the United Henry Burchard Fine Professor Emer States. itus. He has served on several edi Mac Lane has also received sev torial boards, including Proceedings eral honorary degrees: the D.Sc. de of the National Academy of Sci gree from Purdue University ( 1965), ences U.S.A., Annals of Mathematics, Yale University ( 1969), Coe College Transactions of the AMS, American (1974), and the University of Penn Journal of Mathematics, Journal of sylvania ( 1977); and an LLD from Differential Geometry, and Advances Glasgow University ( 1971 ). in Mathematics. In addition to his academic ap A representative selection of pointments, Mac Lane served as Di Donald C. Spencer Spencer's papers has been reprinted rector of the Applied Mathemat The Managing Editor of Notices in Selecta Donald C. Spencer (vol ics Group at Columbia University asked Professor J. J. Kohn of Prince umes I-III, World Scientific Publish ( 1944-1945) and as a member of the ton University to provide a sketch ing, Singapore, 1985). He has also co Executive Committee of the Interna of Professor Spencer's career and ac authored four very influential books: tional Mathematical Union ( 1954- complishments. Professor Kohn re Coefficient Regions for Schlicht Func 1958). He served as visiting profes sponded: tions, with A. C. Schaeffer (AMS sor at the University of Heidelberg Donald C. Spencer was born on Colloquium Publications, volume 35, ( 1958, 1965, 1976), the University of April 25, 1912 in Boulder, Col New York, 1950); Functions ofFinite Frankfurt ( 1960), and Tulane Uni- orado. He was an undergraduate Riemann Surfaces, with M. Schiffer
24 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY News and Announcements
(Princeton University Press, 1954); holomorphic vector fields. However, Since his retirement in 1978, Advanced Calculus, with H. K. Nick there seemed to be no reason that Spencer has lived in Durango, Col erson and N. E. Steenrod (Van Nos any given element of H 1 (M, 8) rep orado. He is very active in the ecol trand, Princeton, NJ, 1959); and Lie resents an infinitesimal deformation ogy movement and is an avid hiker. Equations, Volume I: General Theory, of M. In spite of this, examination of He still keeps up with his many stu with A. Kumpera (Annals of Math. familiar examples of compact com dents and friends; his advice and Studies No. 73, Princeton University plex manifolds M revealed a mysteri help are always generously given and Press, 1972). ous phenomenon that dimH 1 (M, 8) gratefully received. Spencer's mathematical work is coincides with the number of effec truly impressive and spans many tive parameters involved in the defi fields in which he has made funda nition of M. In order to clarify this First Bergman Prize mental contributions. Before coming mystery, Spencer and I developed to David Catlin to Princeton, he worked in number the theory of deformation of com David W. Catlin of Purdue Uni theory, on lattice points and on se pact complex manifolds. The process versity has been named as the first quences of integers; in applied math of the development was the most awardee of the Stefan Bergman Trust. ematics, on fluid mechanics; and in interesting experience of my whole The trust, established in 1988, recog the theory of functions of one com mathematical life. It was similar to nizes mathematical accomplishments plex variable, on mean-valent func an experimental science developed by in the areas of research in which tions, schlicht functions, conformal the interaction between experiments Stefan Bergman worked. The prize mappings, and Riemann surfaces. (examination of examples) and the awards Professor Catlin approximate At Princeton, Spencer's research ory." year for two years. com ly $20,000 per turned to the study of several Also during this period, Spencer complex mani plex variables and introduced the use of potential the work with K. Ko folds. In joint ory in the study of complex mani daira, the use of potential-theoretic folds with boundaries, and, in par of complex methods in the study ticular, formulated the "8-Neumann into a ma manifolds was developed problem," which has led to very im for a large body jor tool, the basis portant new developments in both They intro of subsequent research. several complex variables and partial of defor duced the modern theory differential equations. In the 1960s, and other struc mations of complex Spencer worked on overdetermined has had tremen tures. This work systems of partial differential equa segments of dous influence in large tions and on pseudogroups. The cul in algebraic mathematics, especially mination of this period has been the recently in mathe geometry and seminal joint work with H. Gold The excitement of matical physics. schmidt on Lie equations. these discoveries is conveyed in a paragraph from the preface to Ko In all his work, Spencer shows re daira's book Complex Manifolds and markable originality and insight. His Deformation of Complex Structures influence on his students, his collabo (Springer-Verlag, 1981): rators, and his many friends has also ". . . Spencer and I conceived a had a lasting impact on 20th-century David W. Catlin theory of deformation of compact mathematics. Just as Spencer had complex manifolds which is based on an unfailing instinct in how to ap Stefan Bergman is best known the primitive idea that, since a com proach mathematical research, so he for his research in several complex pact complex manifold M is com also had an unfailing instinct in how variables and the Bergman projec posed of a finite number of coordi to inspire both students and fellow tion and the Bergman kernel func nate neighborhoods patched together, mathematicians. His patience and his tion which bear his name. A native its deformation would be a shift in dedication knew no limits, and his of Poland, he taught at Stanford for the patches. Quite naturally it follows enthusiasm was contagious. His stu many years and died in 1977 at the from this idea that an infinitesimal dents were a very individualistic lot, age of 78. He was an AMS member deformation of M should be repre with different interests and different for 35 years. When his wife died sented by an element of the chomol talents. Yet Spencer knew how to recently, the terms of her will stipu ogy group H 1 (M, 8) of M with co guide and lead them to use their lated that funds should go toward a efficients in the sheaf 8 of germs of talents in the most effective way. special prize in her husband's honor.
JANUARY 1990, VOLUME 37, NUMBER 1 25 News and Announcements
The AMS was asked by Wells results were presented in a recent pa Kahan to Receive Turing Award Fargo Bank of California, the man per, in which Professor Catlin shows agers of the Bergman Trust, to assem that the Kobayashi, Caratheodory, ble a committee to select recipients and Bergman metrics are equivalent William M. Kahan of the University of the prize. In addition, the Society to pseudo-convex domains of finite of California at Berkeley will receive assisted Wells Fargo in interpreting ·type in C 2• He also gives sharp es the 1990 Turing Award from the the terms of the will to assure suf timates for the singularities of the Association for Computing Machin ficient breadth in the mathematical Bergman kernel function restricted ery (ACM). The award will be pre areas in which the prize may be given. to the diagonal on such domains. sented during the ACM Computer Awards will be made every two years Other important research directly re Science Conference in Washington, in the following areas: 1) The theory lated to Bergman's ideas are Pro DC in February, 1990. Professor Ka of the kernel function and its appli fessor Catlin's work on proper and han will receive the award for his cations in real and complex analysis; CR mappings with Bedford and Bell. "outstanding research in numerical 2) Function-theoretic methods in the Professor Catlin has also achieved analysis and his leadership in de theory of partial differential equa fundamental results in areas some veloping standards to compute accu tions of elliptic type with attention what further from Bergman's work, rately and confidently with floating to Bergman's operator method. such as holomorphic functions on point numbers." Description of Catlin's work. In pseudoconvex domains and a far One of the foremost experts on two papers from 1983 and 1987, Pro reaching generalization of Kuran floating-point computations, Profes fessor Catlin obtained a spectacular ishi's embedding theorem. sor Kahan has dedicated himself to result: the 8-Neumann problem on a Apart from Professor Catlin's P':lb "making the world safe for numerical pseudo-convex domain n is subellip lished work, he has obtained a series computations." He has spent the last tic at a point p in the boundary of n of important results (several of which decade spearheading the effort to de if and only if P is of finite type (i.e., involve the Bergman operator) which velop and adopt two standards (IEEE every complex analytic curve through he has not published but has ex 754 and 854) for binary and radix P has bounded order of contact with plained to many of his colleagues. independent floating-point numbers. the boundary of Q). The proof in In this way, these results have be This project succeeded primarily be volves several entirely new ideas both come part of the general common cause of Kahan's commitment to pro in partial differential equations and knowledge in the field. vide as clean an interface to software in several complex variables, such as as possible and his deep knowledge a novel and powerful method for Biographical sketch. David of mathematical analysis, computer constructing plurisubharmonic func Catlin was born on May 12, 1952 floating-point systems, hardware, and tions, a very ingenious stratification in Rochester, Pennsylvania. He re pertinent aspects of operating sys of pseudo-convex hypersurfaces, and ceived his B.S. from the University tems and software. Today, the bi a technique for quantifying the geo of Michigan in 1974 and his Ph.D. nary standard has been adopted by metric analysis of finite types. This in 1978 from Princeton University, nearly every computer and chip man analysis also led Professor Catlin to where his thesis advisor was J. J. ufacturer. Professor Kahan used the establish important boundary invari Kahn. Serving as an instructor at power of numerical analysis to sig ants of pseudoconvex domains. the University of Chicago from 1978 nificantly influence computer archi This work has immediate con to 1980, Catlin moved to Prince tecture, a unique and unusual con sequences for the behavior of the ton University as an assistant pro tribution that will have an impact Bergman projection and of the Berg fessor in 1980. In 1983, he received on virtually anyone who will use a man kernel function. In fact, Pro a Sloan Fellowship and moved to computer in the future. fessor Catlin's results imply that the Purdue University as an associate Professor Kahan received his Bergman projection preserves professor in 1984. He is currently Ph.D. in numerical analysis in 1958 smoothness near P and that the professor of mathematics at Purdue. from the University of Toronto. He Bergman kernel function is coo off Professor Catlin has presented held a National Research Council the diagonal near P, and also gives many invited addresses, including of Canada fellowship at Cambridge some control of singularities on the the AMS Special Session on Pseudo University from 1958 to 1960 be diagonal. differential operators in Denver in fore returning to the University of Related questions of global regu 1983, the International Congress of Toronto as a faculty member in larity were also addressed by Profes Mathematicians in Berkeley in 1986, mathematics and computer science. sor Catlin, with striking results and and the Summer Symposium on Sev In 1969, he moved to the University highly powerful and original tech eral Complex Variables in Santa Cruz of California at Berkeley, where he is niques. Another remarkable series of in 1989. currently professor of mathematics,
26 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY News and Announcements electrical engineering, and computer American Council of Learned So Of these recipients, one is in the science at Berkeley. cieties, cooperates with the United mathematical sciences. Wilhelmina States Information Agency in admin Claus, University of Texas at Austin, istering the Fulbright program. received a dissertation fellowship. Teaching Awards National The following are the Fulbright The subject of her dissertation is to Mathematicians Scholars in the mathematical sci Kleinian groups and 3-manifolds. Three mathematics faculty have re ences, with their institutional affil For more information about the ceived awards from the Council for iation and the countries they will American Association of University Advancement and Support of Ed visit. ALKIVIADIS G. AKRITAS, Uni Women fellowships, see the Decem ucation (CASE). The awards were versity of Kansas, U.S.S.R.; DEANE ber 1989 issue of Notices, page 1455. given in recognition of teaching abil E. ARGANBRIGHT, Whitworth Col ity, service to their institutions and lege; Papua New Guinea; SHRIKANT NSF Grants professions, dedication to teaching of North I. BANGDIWALA, University to Minority Institutions and scholarship, and achievement of Carolina at Chapel Hill, Costa Rica; former students. STRAvos N. BusENBERG, Harvey The National Science Foundation ROBERTS. DORAN of Texas Chris Mudd College, New Zealand; DAVID has announced awards totalling more tian University and ZAFRA MAR W. CLAY, Florida Institute of Tech than $4 million to colleges and uni GOLIN LERMAN of Columbia Col nology, Lesotho; JAMES E. FALK, versities with substantial minority lege in Illinois received gold medals. George Washington University, enrollments. These grants are de Professor Doran was also named Czechoslovakia; M. DEAN FENTON, signed to improve the research ca 1989 Texas Professor of the Year Pennsylvania State University, Libe pabilities of these institutions. by CASE. WILLIAM L. HART of Ma ria; LOUIS GORDON, University of The program, entitled Research comb Community College in Michi Southern California, Israel; RONALD Improvements in Minority Institu gan was named 1989 Michigan State R. GoFORTH, University of Arkansas tions, is intended to improve research Professor of the Year. at Fayetteville, Fiji; 0MAR B. HIJAB, and training by supporting faculty Nationwide, 11 gold medalists Temple University, Jordan; RALPH research and student participation, and 38 State Professors were rec N. McKENZIE, University of Cali research equipment acquisition, and ognized for their achievements. They fornia at Berkeley, Australia; AMAR cooperative research between indus were chosen by 35 panelists from the MuKHERJEE, University of Central try and academia. In addition, this higher education community. The Florida, India; SYED SHAHABUDDIN, program is designed to enhance the panel also supplied nominations to Central Michigan University, Pak ability of historically black colleges the Carnegie Foundation for the Ad istan; PAUL C. SHIELDS University of and universities to participate in vancement of Teaching, which chose Toledo, Hungary; GERARD A. VEN federally-sponsored programs. the medalists. EMA, Calvin College, Yugoslavia; AN Grants were made in a broad CASE began the Professor of the DREW J. VINCE, University of Florida, range of science and engineering Year program to recognize under Malawi; PETER B. voN MER TENS, Les fields. Of the 15 grants, two were graduate faculty members for their ley College, Tanzania; JAMES E. in the mathematical sciences. A brief contributions to the lives and careers WARD, Bowdoin College, Lesotho; description of each of these grants of students. CASE, with a member and JosEPH E. YuKICH, Lehigh Uni follows. ship of 2850 colleges, universities, versity, France. Howard University in Washing and independent schools, seeks to ton, DC, will establish a differential advance public understanding and equations and applied mathematics suport of education for the benefit of American Association of University group focusing on the study of non society. Women Fellowships and Grants linear differential equations and ap plications to fluid dynamics and wa of the ter waves. Computer facilities will be Fulbright Scholars Named The Educational Foundation American Association of University expanded to strengthen graphics ca The Council for International Ex Women has announced the awarding pabilities in the mathematics depart change of Scholars has announced of fellowships and grants to women ment. The amount of this three-year that approximately 900 scholars, aca amounting to more than $1.4 mil grant is $330,000. demics, and professionals have re lion. The 91 American recipients will University of Puerto Rico, Maya ceived awards under the Fulbright do postdoctoral research, complete guez will implement comprehensive Scholar Program to lecture, consult, doctoral dissertations, or enter the applied and computational mathe and conduct research abroad in 1989- final year of study for selected pro matics efforts that will significantly 1990. The Council, an affiliate of the fessions. increase the research capability of
JANUARY 1990, VOLUME 37, NUMBER 1 27 News and Announcements faculty and students. The amount of Committee on Computation and seeking careers requiring a Ph.D. in this three-year grant is $258,408. Departmental Awards: A. Odlyzko, mathematics, the University of Cal B. Speh, A. Thaler (DMS), M. ifornia at Berkeley will offer a six Wheeler, T. Kurtz (chair), Depart week summer residential program for June An Open Letter to the ment of Mathematics, University of undergraduate students, from 1990. The program Mathematical Sciences Community Wisconsin, Madison, WI 53706, 18 to July 27, [email protected]. is being organized by Leon Henkin The Division of Mathematical Sci Should the DMS continue to sup of U.C. Berkeley, and by Uri Treis ences (DMS) of the National Science port computer services and hardware man of Swarthmore College and the Foundation (NSF) faces many im purchases? How should such support Dana Center for Math and Science portant, difficult policy questions in be organized? What are the benefits Education at U.C. Berkeley. Support the coming years. At the November and drawbacks (scientific and admin for the program is expected from the 1989 meeting of the Advisory Com istrative) of DMS awards to depart Alfred P. Sloan Foundation and the mittee, four subcommittees were es ments rather than to individuals? National Science Foundation. Math tablished to examine four of the most Committee on Undergraduate Ed ematics faculty are asked to encour pressing issues. Membership and a ucation: D. Blackwell, J. Bustoz, age promising students to apply. brief outline of the issues for each D. Lockhart (DMS), F. Morgan, D. To be eligible, a student must be committee are given below. The com Sanchez, J. Cannon (chair), Depart African-American, Mexican Ameri mittee chairs and members welcome ment of Mathematics, Brigham can/Chicano, Latino, or American the comments of all members of the Young University, Provo, UT 84602. Indian and enrolled at a college or mathematical sciences community. What kinds of programs make university offering a bachelor's de Recommendations of other issues sense for the NSF, for the DMS? gree in mathematics. In addition, the which deserve in-depth study should Which should be developed coop student must have completed with be made directly to us (Michael eratively with the Directorate for distinction two years of undergradu C. Reed, Department of Mathemat Science and Engineering Education? ate mathematics, beginning with cal ics, Duke University, Durham, NC How can the NSF stimulate the re culus, by June, 1990. 27701, [email protected]; Judith S. cruitment of women and minorities Each participating student will Sunley, National Science Founda into mathematics? How large should receive room and board, a $2000 tion, Division of Mathematical the OMS's budget commitment to stipend, and travel to and from Sciences, 1800 G Street, N.W., these activities be? Berkeley. Students will be expected to Washington, DC 20550, Committee on Industrial Coopera work intensively in two of five intro [email protected]). tion: M. E. Bock (DMS), J. Bus ductory seminars. In addition, there Committee on Research Funding: toz, R. Chin (formerly DMS), S.-N. will be a dozen special colloquium S.Y.A. Chang, S.-N. Chow, F. Chow, A. Manitius (formerly DMS), talks delivered by senior mathemati Morgan, A. Odlyzko, J. Sally, B. M. Wheeler (chair), Department of cians designed to give students a Speh, J. Sunley (DMS), C. Taubes, Mathematics, University of Houston, broad view of current developments J. Goldstein (chair), Department Houston, TX 77004, [email protected]. in mathematics and its applications. of Mathematics, Tulane University, What modes of cooperation with Participants will work individually New Orleans, LA 70118, industry are natural and beneficial and in groups on challenging math [email protected]. for mathematicians and mathemati ematical problems arising from the What kinds of non-salary re cal sciences departments? How can seminars and colloquia. sources do mathematicians really the DMS encourage such coopera- The deadline for student applica need? Should the distribution of tion? tions is March 1, 1990. Application such resources in the mathemati Michael C. Reed, Chair forms and further information can be cal sciences community be broad DMS Advisory Committee obtained by writing to: Dana Center ened? What modes of funding would National Science Foundation PDP /Summer Math Institute, 230B Stephens Hall, U.C. Berkeley, Berke be administratively efficient, permit Judith S. Sunley, Director have the sup ley, CA 94720. quality control, and Division of Mathematical Sciences the total Faculty for the Institute will be port of the community? If National Science Foundation DMS budget remains flat or increases drawn nationwide from universities only slowly, how shall funding for or research laboratories. Interested such alternate modes be found? Cut Summer Math Program faculty are invited to contact Leon the number of Principal Investigator for Minorities Henkin, Department of Mathemat awards with salary? Impose a salary In an effort to increase the number of ics, U.C. Berkeley, Berkeley, CA cap? Cut other activities? underrepresented minority students 94720.
28 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY News and Announcements
News from the Richard Zippel, Cornell University, play advertisement in this issue for a Mathematical Sciences Institute CAP-90 will be held May 9-12, 1990. full description. Registration packets Cornell University The aim of the CAP-90 workshop is are now available. Contact confer to allow computer algebra users to ence secretary Diana Drake at the The Mathematical Sciences Institute learn about recent theoretical devel same address and phone number (MSI) has announced its spring roster opments in the design of parallel al listed above. of workshops. Among them are two gebraic algorithms and to provide an contiguous workshops on computer opportunity for researchers working algebra: Computer Algebra and Dif on theoretical issues in parallel alge Science-by-Mail for Youngsters ferential Equations (CADE-90) and braic computation to become aware Computer Algebra and Parallelism of problems that arise when map The Science-by-Mail program was (CAP-90). They have been organized ping these algorithms onto existing developed in 1987 by the Boston as back-to-back workshops from May parallel computers. Museum of Science. The purpose of 6-12 so that scientists and mathe Workshop topics include vector the program is to form ties between maticians with overlapping interests ized long integer arithmetic, parallel children and professional scientists can easily arrange to attend both. expression evaluation, parallel linear in order to address the growing prob Organized by Michael Singer, and nonlinear system solving, paral lem of science illiteracy. Notices read North Carolina State University; Eve- lel sparse interpolation, and parallel ers may be interested in becoming a 1yne Tournier, IMAG, Grenoble; and polynomial root finding. Implement part of this important and rewarding Richard Zippel, Cornell University, ing parallel algebraic algorithms on activity. CADE-90 will be held May 6-9, parallel computers also will be dis Science-by-Mail exposes children 1990. The aim of the workshop is cussed. in grades 4-9 to the exciting world of twofold: to allow researchers in com One-hour lectures by the follow science through activity packets and puter algebra to learn about recent ing invited speakers will highlight the correspondence with a scientist pen theoretical developments concerning workshop: J. von zur Gathen, B. Hal pal. Each student participant receives differential equations and to make stead, M. Karpinski, D. Kozen, G. L. three "science challenge packets" dur researchers in theoretical areas aware Miller, W. Neun, B.S. Saunders, and ing the school year. After complet of questions arising in the design of E. Sibert. Time has been reserved for ing the activities in the packet, the computer algebra systems. discussion sessions and impromptu children send their solutions to an Peter J. Olver, University of Min presentation of ongoing research. It assigned scientist, who responds to nesota, as the principal speaker, will is expected that workshop partici their ideas through letters. give four lectures, including an in pants will have access to Cornell's Currently, more than 300 scien troduction to Lie group methods Supercomputing Facility. tists volunteer their time to Science in differential equations. Other in Scientists interested in attend by-Mail. They serve as important vited speakers include G. Almkvist, ing either workshop should contact role models, especially to girls, mi D. Babbitt, A. Duval, R. Grossman, the Mathematical Sciences Institute, norities, and disadvantaged students J. Guckenheimer, A.H.M. Levelt, C. Cornell University, 201 Caldwell Hall, who might otherwise receive little or Mitschi, andY. Sibuya. They will lec Ithaca, NY 14853-2602, 607-255- no exposure to science and science ture on topics such as perturbation 8005. careers. theory, summation and integration Other workshops scheduled for Several museums and science cen in finite terms, effective methods in this spring include Percolation Mod ters around the world have estab the theory of D-modules, differen els of Material Failure, May 31- lished Science-by-Mail chapters to tial Galois theory, and resummation June 3, 1990, organized by S. Leigh distribute materials to children and techniques. Additionally, the work Phoenix and Function Estimation scientists in their areas, and many shop will feature one or two presen and Statistical Applications, June 13- other museums have expressed inter tations of software projects, such as 16, 1990, organized by David Rup est in starting chapters. The program DESIR, that integrate computer al pert and J. S. Marron. They will be has also attracted the interest and gebra and differential equations. No described in detail in future columns. support of several scientific associa more than four lectures will be de MSI is sponsoring a major sym tions. livered each day to allow time for posium on "Modern Perspectives of If you would like to become a informal discussion. Mathematics: Mathematics as a Con scientist pen-pal, or if you know of Organized by Jean Della Dora, sumer Good, Mathematics in Acade children who might like to partic IMAG, Grenoble; John Fitch, Uni mia," March 29-31, 1990, at Cor ipate in this program, please call versity of Bath; Erich Kaltofen, Rens nell University. See this column in Thea Sahr, 1-800-729-3300 or 617- selaer Polytechnic Institute; and the November Notices and the dis- 589-0438, or write to her at Science-
JANUARY 1990, VOLUME 37, NUMBER 1 29 News and Announcements by-Mail, Museum of Science, Science own commumtles. The kits are not Changes in NSF Proposal Format Park, Boston, MA 02114-1099. copyrighted and may be reproduced. They are available for $10 (prepaid) In the October issue of Notices an Math Kits for from the MSEB. For further infor NSF Important Notice described forth Elementary Schoolers mation, contact Ann Kahn, Math coming changes in the format of pro "Math Matters: Kids are Counting on ematical Sciences Education Board, posals. For administrative reasons, You" is a kit of educational materi 818 Connecticut Avenue, NW, Suite the Mathematical and Physical Sci als prepared by the National Parent 500, Washington, DC 20006; tele ences Directorate has delayed full Teachers Association (PTA) for the phone 202-334-3294. implementation of the new require parents of elementary school chil ments to January 3, 1990. All pro dren. The kit uses common house New Phone Numbers for the AMS posals received after that date must hold items to make mathematics The toll free telephone number to be in the new format. homework an interactive and ex contact the American Mathematical The Division of Mathematical ploratory experience for parents and Society has recently been changed Sciences is in the process of drafting children. to 800-321-4AMS. With this change, a letter to the mathematical commu Developed in cooperation with it is now possible to use the toll nity that will describe the Division's the Mathematical Sciences Educa free number from Canada as well as expectations under the new guide tion Board (MSEB) of the National within the United States. lines. It will be mailed to department Research Council, "Math Matters" is In addition, the Society's main chairs shortly and will be available at centered on the premise that parental telephone number has been changed the NSF booth during the Louisville attitudes about mathematics exert a to 401-455-4000. If you know the Joint Mathematics Meetings. crucial influence on children's per extension for the individual or de ceptions of the difficulty and value partment you are trying to reach, of the subject. The kit is designed to you can now contact them directly foster positive attitudes about math by dialing 401-455 plus the 4-digit ematics and to build children's confi extension. dence in doing it. In addition, the kit Errata helps to build parents' competence in mathematics. Change in the Survey of American Research Journals The kit provides 70 simple and in Mathematical Sciences Meetings The Survey of American Research and Conferences Section teresting par~nt-tested activities that Journals, published in the November can be used at home. Parents need of Notices issue of Notices, incorrectly listed not be mathematical or educational Effective with the 1990 volume of 1988 pages and corresponding cents experts to use the kit. The exercises Notices, the complete list of Mathe per thousand character figures for the are fun and accessible, usually with matical Sciences Meetings and Con Pacific Journal of Mathematics. The no "right or wrong" answers. They ferences will be published only in the figure for pages published in 1988 use everyday objects and situations September issue. In all other issues, should read 1996 and the cents per to get kids to think about numbers, only meetings and conferences for thousand character figure should read shapes, and patterns. the twelve-month period following 4.3. A copy of the "Math Matters" kit the month of that issue will appear. has been sent to each PTA president As new information is received for in 30,000 elementary schools and to meetings and conferences that will Allen Shields 20,000 elementary school principals. occur later than that twelve-month In the December 1989 issue of the Demand for the kits has exceeded period, it will be announced at the Notices (page 1452), the date of Allen original supplies, but the MSEB re end of the listing in the next possible Shields' death was incorrectly pub cently had several hundred more kits issue. That information will not be lished as September 23, 1989. He in printed. repeated until the next complete list fact died on September 16, 1989 and Notices readers may be interested is published in a September issue or a memorial service was held in Ann in obtaining the kit either for use until the date of the meeting or con Arbor, Michigan on September 29, with their own children or to insure ference falls within the twelve-month 1989. The managing editor sincerely that the kits are being used in their period. regrets this error.
30 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Funding Information for the Mathematical Sciences
NAS Soviet and To be eligible for the program, Office of International Affairs, Na East European Exchanges applicants must be U.S. citizens and tional Research Council, 2101 Con must have a doctoral degree (or re stitution Avenue, Washington, DC The National Academy of Sciences search and training experience equiv 20418; telephone 202-334-2644. (NAS) sponsors exchange programs alent to a doctorate) by June 1990. of individual scientists with the Previous exchangees may not apply Academies of Sciences of the U.S.S.R., OTA Congressional to the program in consecutive years, Fellowship Program Bulgaria, Czechoslovakia, the Ger and the time between long-term vis man Democratic Republic, Hungary, its ( 3-12 months) must be at least Technology Assessment Poland, Romania, and Yugoslavia. The Office of three years. (OT A) is seeking outstanding candi The programs cover a range of scien academia, business and tific disciplines, including mathemat Up to 25% of the quota for each dates from the public sector for its ics and computer science. country is set aside for young scien industry, and tists, those who have received their Congressional Fellowship Program. The purpose of the programs is doctorates within the past six years. Up to six Fellows will be selected for to facilitate exchanges that will lead Unused portions of this set-aside will a 1-year appointment in Washington, to significant scientific publications be made available to other scientists. DC, beginning in September, 1990. jointly authored by U.S. and foreign colleagues in areas of high scientific At the request of the National Sci OTA provides congressional com interest. In addition, the programs ence Foundation (NSF), a new cat mittees with objective analyses of the are intended to contribute to sus egory of Project Development Visits emerging, difficult, and often highly tained cooperative research between was added this year. The purpose is technical issues of today. Assess U.S. and foreign colleagues. Visits to give U.S. researchers opportunities ments are conducted in such areas as designed primarily to present lec to develop plans for long-term co economic competitiveness, interna tures or to attend conferences are operative research. These two-week tional security, energy, advanced ma not supported by this program. visits are to be spent at a single insti terials, biotechnology, neuroscience, For Survey and Research Visits, tution, where NSF proposals can be agriculture, advanced medical tech each participating country has an developed. Visits to Eastern Europe nologies and services, telecommuni "exchange quota," specifying a limit may be in any area supported by cations and information technolo on the number of person-months the NSF. For the U.S.S.R., the pro gies, environment, education, and of scientific visits that may be ex gram will support certain subfields of science policy. changed in the program. For exam several scientific fields. Mathematics Candidates must have significant ple, the exchange quota for the So and theoretical physics are included; experience in technical fields or man viet Union is 50 months, meaning the NAS will supply a list of the agement or have completed research that the total the number of months subfields supported. at the doctoral level. The deadline for spent in the U.S.S.R., summed over Project Development Visits may applications is January 31. For more all program participants, may not ex take place between April 1990 and information, contact: Congressional ceed 50. In addition, the exchanges December 1990, and Survey and Re Fellowships, Personnel Office, Office are always one-for-one; for example, search Visits between January 1991 of Technology Assessment, Congress there must be a corresponding 50 and December 1991. The deadline of the United States, Washington, person-months of Soviet visits to the for applications for both is February DC 20510-8025; telephone 202-224- U.S. 28. For more information, contact 8713.
JANUARY 1990, VOLUME 37, NUMBER 1 31 For Your Information
Afrika Matematika, Journal of the African Mathematical Union
Harley Flanders*
Last September, the African Mathematical Union (AMU) of mathematics in Africa. The official languages of held, for the first time, an International Symposium, in Afrika Matematika are English and French. The annual Arush, Tanzania. The symposium, attended by about subscription is $20.00 US. This may be paid to 50 of the leading senior mathematicians of Africa (plus three outsiders), covered "current research trends in Professor Wouafo Kamga, Treasurer mathematics, computer science, mathematics education, African Mathematical Union and industrial mathematics", and lasted a full week. cjo Department of Mathematics It was indeed an extraordinary meeting, and I was University of Yaounde pleased by the very high quality of the presentations. Yaounde, Cameroons (Africa) The symposium was sponsored by UNESCO, ANSTI, ICTP, the Tanzanian Commission for Science, and the Afrika Matematika publishes short, medium, and University of Dar-es-Salaam. fairly long research articles in all areas of mathematics, Needless to say, the AMU operates under difficult its applications, and mathematics education. It also conditions of finance and communications. After a lapse publishes commissioned survey articles. Papers published of several years, it has resumed publication of its jour or being considered for publication elsewhere are not nal, Afrika Matematika. I have been requested by the accepted. However, abstracts may be published elsewhere AMU to bring its publication to the attention of my of articles to be published in full in Afrika Matematika. colleagues here, in the hope that libraries and individuals will support the journal by subscriptions. There follows Series 2 of the journal commenced in 1988. For Professor Iyahen's announcement: now, one issue is published a year, however, from 1991 there will be two issues per year, April and October. Research reports of conferences and workshops organized Afrika Matematika under the auspices of the African Mathematical Union The publication of Afrika Matematika started in 1978. are published in special issues of the journal. Further A refereed journal, it provides an outlet for some information about Afrika Matematika may be obtained of the mathematical research done in Africa, as well from the Editor-in-Chief, as other parts of the world. The journal also publishes in-depth research studies on the problems of the teaching Professor Su-day 0. Iyahen Department of Mathematics and Computer Science *Harley Flanders is a Professor of Mathematics at the University University of Benin of Michigan. Benin City, Nigeria (Africa)
32 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Manhattan, Kansas Kansas State University March 16-17
Second Announcement
The eight-hundred-and-fifty-fifth meeting of the Ameri Ergodic theory, JosEPH M. RosENBLATT, Ohio State can Mathematical Society will be held at Kansas State University. University in Manhattan, Kansas on Friday, March 16, Graph theory, RICHARD H. SCHELP, Memphis State and Saturday, March 17, 1990. University. Groups and geometries, ERNEST E. SHULT, Kansas Invited Addresses State University. Applications ofcategory theory, GEORGE E. STRECKER, By invitation of the Central Section Program Commit Kansas State University. tee, there will be four invited one-hour addresses. The Abstracts for consideration for these sessions should speakers, their affiliations, and the titles of their talks have been submitted by the November 21, 1989 deadline. where available are: This deadline was previously published in the Calendar J. BRIAN CoNREY, Oklahoma State University, Still of AMS Meetings and Conferences and in the Invited water, Modular forms and the Riemann zeta-function. Speakers and Special Sessions section of the Notices. STEWART B. PRIDDY, Northwestern University, Rep resentation theory and stable homotopy offinite groups. Contributed Papers JEAN-PIERRE RosAY, University of Wisconsin, Madi son, Examples of Cauchy-Riemann structures. There will also be sessions for contributed ten-minute JANG-MEI Wu, University of Illinois at Urbana papers. Late papers will not be accommodated. Champaign, Harmonic measure and applications. Registration Special Sessions The registration desk will be located inside the main By invitation of the same committee, there will be eleven entrance to Cardwell Hall, and will be open from 8:00 special sessions of selected twenty-minute papers. The a.m. to 5:00p.m. on Friday, March 16, and on Saturday, topics, and the names and affiliations of the organizers, March 17, from 8:00a.m. to noon. The registration fees are as follows: are $30 for members of the AMS, $45 for nonmembers, Harmonic analysis and probability theory, ANDREW and $10 for students or unemployed mathematicians. G. BENNETT, Kansas State University. Orthostructures, DAVID J. Fouus, University of Mas Petition Table sachusetts at Amherst, and RICHARD J. GREECHIE, Kansas State University. A petition table will be set up in the registration area. Numerical analysis, KADOSA M. HALAS! and Q1su Additional information about petition tables can be Zou, Kansas State University. found in a box in the Louisville meeting announcement Geometricfunction theory, DAVID H. HAMILTON, Uni in the October 1989 issue of Notices. versity of Maryland, College Park, and JoHN F. Rossi, Virginia Polytech Institute and State University. Accommodations Partial differential equations, LIGE LI, Kansas State All accommodations have restaurants in or adjacent to University. them. Aggieville, on the edge of the campus, offers a Commutative algebra, SATYAGOPOL MANDAL, Uni wide variety of fast food and full service restaurants. versity of Kansas. On campus the K-State Union Stateroom will be open Inverse problems and scattering theory, ALEXANDER for breakfast and lunch. Information on area restaurants G. RAMM, Kansas State University.
JANUARY 1990. VOLUME 37, NUMBER 1 33 ~ Kansas State University Campus Map
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Cardwell Hall @ Parking-P Meetings will be included in a welcome packet available at the Super 8 meeting registration desk. The AMS is not responsi 200 Tuttle Creek, Manhattan, KS 66506 ble for rate changes or accommodations offered by Telephone: 913-527-8468 hotels/motels. 1 person/1 bed $31.26 2 persons/1 bed $35.59 All Seasons Motel 2 persons/2 beds $37.76 1501 Tuttle Creek Bld, Manhattan, KS 66506 Telephone: 913-539-5391 Travel Single $35.44 Double $39.87 Kansas State University is located in Manhattan, eight miles north of Interstate 70, and one-hundred-and-thirty Continental Inn miles west of Kansas City. Flights are available to Kansas 100 Bluemont Ave., Manhattan, KS 66506 City International Airport in Kansas City, Missouri, on Telephone: 913 776-4771 several major airlines with connections to the Manhattan 1 personjl bed $35.28 1 person/2 beds $37.38 Municipal Airport. Airport shuttle service is available to 2 persons/ I bed $39.68 2 persons/2 beds $44.10 the campus at reasonable rates. If traveling by car, participants should take Interstate Holiday InnjHolidome 435 (south) and follow Interstate 70 (west) to State KS 66506 530 Richards Drive, Manhattan, Highway 177 into Manhattan. Telephone: 913-539-5311 Single $64.24 Poolside Single/Double $70.88 Parking Motel6 Parking is available on campus. A parking fee of $2 will 510 Tuttle Creek, Manhattan, KS 66506 be charged on Friday, March 16. Telephone: 913-537-1022 Weather Single $21.95 Double $28.61 A wide range of weather is possible in Kansas in March. University Inn Participants are advised to note regional forecasts near & Manhattan, KS 66506 17th Anderson Avenue, the time of the meeting. Telephone: 913-539-7531 Andy Roy Magid Single $38 Double $44 Secretary These are special rates offered to participants. Associate Norman, Oklahoma
PARTITION PROBLEMS IN TOPOLOGY Stevo Todorcevic (Contemporary Mathematics, Volume 84)
This book presents results on the case of the Ramsey problem 1980 Mathematics Subject Classifications: 04-02, 03E05, 03E50; 50-02, for the uncountable: When does a partition of a square of 54A25 an uncountable set have an uncountable homogeneous set? ISBN 0·821 8-5091-1, LC 88-39032 ISSN 0271-4132 This problem most frequently appears in areas of general 130 pages (softcover). January 1989 topology, measure theory, and functional analysis. Building on Individual member $13, List price $22, his solution of one of the two most basic partition probiP.ms Institutional member $18 in general topology, the "S-space problem," the author To order, please specify CONM/84NA has unified most of the existing results on the subject and made many improvements and simplifications. The first eight sections of the book require basic knowldege of naive set All prices subject to change. Shipment will be made by surface. theory at the level of a first year graduate or advanced For air delivery add, 1st book $5, each additional book $3, undergraduate student. The book may also be of interest maximum $100. Prepayment required. Order from American to the exclusively set-theoretic reader, for it provides an Mathematical Society, P.O. Box 1571, Annex Station, Provi excellent introduction to the subject of forcing axioms of set dence, Rl 02901-1571, or call toll free 800-321-4AMS to charge theory, such as Martin's axiom and the Proper forcing axiom. with VISA or MasterCard.
JANUARY 1990, VOLUME 37, NUMBER 1 35 Fayetteville, Arkansas University of Arkansas March 23-24
Second Announcement
The eight-hundred-and-fifty-sixth meeting of the Ameri Singular integral operators and related areas, GER can Mathematical Society will be held at the University ALDO SoARES DE SouzA and GARY SAMPSON, Auburn of Arkansas in Fayetteville, Arkansas on Friday, March University, Auburn. 23, and Saturday, March 24, 1990. This meeting will Banach algebras, JOHN DUNCAN, University of be held in conjunction with the University of Arkansas' Arkansas. Fourteenth Annual Lecture Series in Mathematical Sci Semigroups in geometry and analysis, KARL H. HoF ences, and in cooperation with the Society for Industrial MANN and JIMMIE D. LAwsoN, Louisiana State Univer and Applied Mathematics. All sessions will be held in sity, Baton Rouge. the Center for Continuing Education. On complex function theory of one and several vari ables, DIMA KHAVINSON, University of Arkansas, Fayet Invited Addresses teville. Phase-type distributions and some applications, ITREL By invitation of the Southeastern Section Program Com E. MoNROE and CoLMA. O'CINNEIDE, University of mittee, there will be four invited one-hour addresses. Arkansas, Fayetteville. The three remaining talks of the The speakers, their affiliations, the titles of their talks Fourteenth Lecture Series will occur during this Special where available, and the scheduled times of presentation Session. are: Algebraic geometry, DAVID R. MORRISON, Duke Uni MARCEL F. NEUTS, University of Arizona, Phase-type versity, and JONATHAN M. WAHL. distributions: basic properties, 11:00 a.m. Friday. This Geometry, physics, and nonlinear PDE's, VLADIMIR I. talk is part of the University of Arkansas' Fourteenth 0LIKER and ANDREJS E. TREIBERGS, University of Utah. Annual Lecture Series and is in cooperation with the Combinatorics, JAMES G. OXLEY, Louisiana State Society for Industrial and Applied Mathematics. The University. three remaining talks in the Lecture Series will occur in Differential geometry, WILLIAM L. PARDON, Duke the Special Session on Probability distributions of phase University, and MARK A. STERN. type and applications, also being held in cooperation with Abstracts for consideration for these sessions should the Society for Industrial and Applied Mathematics. have been submitted by the November 21, 1989 deadline. VLADIMIR I. 0LIKER, Emory University, Selected non This deadline was previously published in the Calendar linear problems in geometry, 1:00 p.m. Friday of AMS Meetings and Conferences and in the Invited MARK A. STERN, Duke University and the Institute Speakers and Special Sessions section of the Notices. for Advanced Study, A geometric trace formula for Heeke operators, 11:00 a.m. Saturday. Contributed Papers JONATHAN M. WAHL, University of North Carolina, Chapel Hill, The topology of isolated complex surface There will also be sessions for contributed ten-minute singularities, 1:00 p.m. Saturday. papers. Late papers will not be accommodated.
Special Sessions Registration By invitation of the same committee, there will be nine The meeting registration desk will be located on the special sessions of selected twenty-minute papers. The second floor (street level) of the Center for Continuing topics, and the names and affiliations of the organizers, Education located on the square in downtown Fayet are as follows: teville at the corner of East Avenue and Center Street.
36 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY
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The meeting registration desk will be open from 8:00 Mountain Inn (one block) a.m. to 5:00 p.m. on Friday, March 23, and from 8:00 21 South College (Hwy. 471), Fayetteville, AR 72701 a.m. to noon on Saturday, March 24. Telephone: 501-521-1000 or 800-336-7133 The registration fees are $30 for members of the AMS Single $27 Double $29 or SIAM, $45 for nonmembers, and $10 for students and unemployed mathematicians. Best Western Motel (two-and-one-half miles) 1000 Hwy 71, Fayetteville, AR 72701 Petition Table Telephone: 501-442-3041 or 800-528-1234 A petition table will be set up in the registration area. Single $35 Double $39 Additional information about petition tables can be Motel 6 (three miles) found in a box in the Louisville meeting announcement 2980 North College, Fayetteville, AR 72701 in the October 1989 issue of Notices. Telephone: 31 7-7 41-7777
David II Report Single $19.95 Double $25.95 Inn (two-and-one-half miles) There will be a special presentation and discussion Friday Park Shiloh Drive, Fayetteville, AR 72701 evening at 7:15 p.m. concerning the upcoming National 1255 501-521-1166 or 800-437-7275 Research Council David II Report. A written executive Telephone: summary of David II will be available to participants. Single $44 Double $46 This report is to be issued this spring and could have a major impact on all mathematics departments. The Food Service focus will be on becoming familiar with the report and discussing its use in our work. There are a number of restaurants on the square and in the downtown area. Complete listings will be available Accommodations at the meeting registration desk. A block of rooms is being held in the Fayetteville Hilton Travel adjacent to the Center for Continuing Education. Rates of $49 for a single room and $56 for a double room Fayetteville is served by commuter lines for several major will be offered to participants making reservations no airlines as follows: American Eagle, connecting in Dal later than March 8, 1990. After that date the rates listed las, Texas; Braniff Airlines, connecting in Kansas City, below will apply. Participants should make their own Kansas; Delta Connection, connecting in Dallas, Texas; reservations directly with the Hilton and with the hotels Northwest Airlink, connecting in Memphis, Tennessee; listed below and identify themselves as participants of and Trans World Express, connecting in St. Louis, Mis the AMS meeting in order to obtain the rates listed. souri. The Best Western Inn, Fayetteville Hilton, and All rates are subject to a nine percent tax. Distances Mountain Inn have complimentary van service to and given below are driving distances measured from the from the airport. Taxi service is also available. The Center for Continuing Education. The AMS is not Fayetteville Airport is approximately four miles from responsible for rate changes or accommodations offered the center of town. by hotels/motels. Weather Fayetteville Hilton 70 North East Street, Fayetteville, AR 72701 The weather in late March is usually mild though it is Telephone: 501-442-5555 or 800-445-8667 occasionally rainy. Single $58 Double $69 Joseph A. Cima Above rates for reservations made after March 8, Associate Secretary 1990. Chapel Hill, North Carolina
38 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY University Park Pennsylvania State University April 7-8 First Announcement
The eight-hundred-and-fifty-seventh meeting of the Contributed Papers American Mathematical Society will be held at the There will also be sessions for contributed ten-minute Pennsylvania State University in University Park, Penn papers. Abstracts should be prepared on the standard sylvania, on Saturday, April 7, and Sunday, April 8, AMS form available from the AMS office in Providence 1990. This meeting will be held in conjunction with a or in Departments of Mathematics. Abstracts should be meeting of the Association for Symbolic Logic (ASL). sent to the Editorial Department, American Mathemat ical Society, Post Office Box 6248, Providence, Rhode Invited Addresses Island 02940, so as to arrive before the January 25, By invitation of the Eastern Section Program Commit 1990 abstract deadline. Participants are reminded that tee, there will be four invited one-hour addresses. The a charge of $16 is imposed for retyping abstracts that speakers, their affiliations, the titles of their talks where are not in camera-ready form. Late papers will not be available, and the scheduled times of presentation are: accommodated. ROBERT T. GLASSEY, Indiana University, title to be announced, 11:00 a.m. Sunday. KARSTEN GROVE, University of Maryland, College Electronic Submission of Abstracts Park, Geometry and topology of manifolds curved from This service is now available to those who use the below, 1:30 p.m. Sunday. TEX typesetting system and can be used with ab LowELL EDWIN JoNES, State University of New York stracts of papers to be presented at the spring sectional at Stony Brook, title to be announced, 11 :00 a.m. Satur meetings of the AMS. Requests to obtain the pack day. age of files may be sent electronically on Internet to GANG TIAN, Princeton University, title to be an [email protected]. Requesting the files elec nounced, 1:30 p.m. Saturday. tronically will likely be the fastest and most convenient way, but users may also obtain the package on IBM or Special Sessions Macintosh diskettes, available free of charge by writing By invitation of the same committee, there will be three to: Electronic Abstracts, American Mathematical Soci special sessions of selected twenty-minute papers. The ety, Publications Division, P.O. Box 6248, Providence, topics, and the names and affiliations of the organizers, RI 02940, USA. When requesting the Abstracts package, are as follows: users should be sure to specify whether they want the Algebraic topology, DONALD M. DAVIS, Lehigh Uni plain TEX, A.M,S-TEX, or the lt.TEX package. versity. Geometric topology, THOMAS FARRELL, Columbia Registration University. The meeting registration desk will be located in the Classical and quantum groups, RANEE KATHRYN lobby of the Keller Conference Center. The registration BRYLINSKI, Pennsylvania State University. fees are $30 for members of the AMS or ASL, $45 Abstracts for consideration for these sessions should for nonmembers, and $10 for students and unemployed have been submitted by the January 4, 1990 deadline. mathematicians. This deadline was previously published in the Calendar of AMS Meetings and Conferences and in the Invited Petition Table Speakers and Special Sessions section of the Notices. A petition table will be set up in the registration area. Additional information about petition tables can be
JANUARY 1990, VOLUME 37, NUMBER 1 39 Meetings found in a box in the Louisville meeting announcement Hampton Inn in the October 1989 issue of Notices. East College Avenue, University Park, PA 16802 Telephone: 814-231-1590 Activities of Other Organizations Single $46 Double $50 The Pennsylvania Prognostic Testing Conference will be held on Friday, April 6, from 1:30 p.m. to 4:30 Sheraton/Days Inn p.m. BERT K. WAITS, Ohio State University, will discuss South Street, the Ohio Early Mathematics Placement Testing Program. University Park, PA 16802 JOHN G. HARVEY, the University of Wisconsin, Madison, Telephone: 814-238-8454 will briefly describe prognostic testing programs in the United States and discuss the effects of calculators on Single $53 Double $63 mathematics testing. The Association for Symbolic Logic (ASL), will have Food Service three invited one-hour addresses. The speakers are HAR VEY M. FRIEDMAN, Ohio State University, Columbus; The Nittany Lion Inn, adjacent to the Keller Conference LEONARD LIPSCHITZ, Purdue University; and ATHANA Center, has a full service restaurant offering breakfast, SIOS C. PHEIDAS, the University of Illinois at Urbana lunch, and dinner. Complete listings will be available at Champaign. the meeting registration desk. The ASL and the Society will co-sponsor a sympo sium on Number theory and decidability to be moderated Travel by BARRY MAZUR, Harvard University, and STEPHEN G. SIMPSON, Pennsylvania State University. The pan US Air/ Allegheny Commuter Airlines serve the State elists will be SERGE LANG, Yale University, and ANGUS College area through the University Park Airport located MACINTYRE, Oxford University. five miles from campus. Limousine or taxi service is available for all flights. For reservations and information on US AirI Allegheny Commuter, please call 814-238- Social Event 8414 or 800-428-4253. By bus, Trailways and Greyhound A wine and beer reception will be held Saturday evening, Lines connections are available to and from State College. April 7, from 5:00 p.m. to 7:30 p.m. in the Fireside For Trailways information please call 814-238-7362; for Lounge at the Nittany Lion Inn. The admisssion price is Greyhound information please call 814-237-5865. If $5 per person. traveling by car, University Park is readily accessible from both ends of the state via Interstate 80 (I-80). Accommodations Parking A block of rooms has been reserved at each of the follow ing hotels/motels. The American Mathematical Society Parking is available on campus for a fee of $3 per day. is not responsible for rate changes or accommodations W. Wistar Comfort offered by hotels/motels. Associate Secretary Nittany Lion Inn Middletown, Connecticut North Atherton Street, University Park, PA 16802 Telephone: 814-231-7500 Single $58 Double $68
40 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Albuquerque, New Mexico University of New Mexico April19-21
First Announcement
The eight-hundred-and-fifty-eighth meeting of the Amer Geometry and topology of moduli spaces, CHARLES P. ican Mathematical Society will be held at the Sheraton BOYER, and BENJAMIN M. MANN, the University of New Old Town Hotel in Albuquerque, New Mexico, on Thurs Mexico. day, April 19, Friday, April 20, and Saturday, April 21, Real algebraic geometry, MICHAEL A. BUCHNER, the 1990. This meeting is being held in cooperation with University of New Mexico, and WoJCIECH KucHARZ, the Society for Industrial and Applied Mathematics and the University of Hawaii, and the University of New being hosted by the University of New Mexico. Mexico Dynamical systems: low dimensional behavior in par Invited Addresses tial differential equations, DAVID CAMPBELL, and JAMES M. HYMAN, Los Alamos National Laboratory. By invitation of the Far Western Section Program Com Invariant embedding and inverse problems, JAMES mittee, and in cooperation with the Society for Industrial CoRONES, Ames Laboratory, PAUL NELSON, Texas A & (SIAM), there will be six in and Applied Mathematics M, and DANIEL SETH, Ames Laboratory. vited one-hour addresses. The speakers, their affiliations, Differential geometry, HOWARD FEGAN, and ALEXAN where available are: and the titles of their talks DER P. STONE, the University of New Mexico. DAVID CAMPBELL, Los Alamos National Laboratory, Mathematical Biology, JAMES M. HYMAN, Los Alamos Solitary waves and their interactions in non-integrable National Laboratory, W. T. KYNER, the University of nonlinear partial differential equations New Mexico, ANN STANLEY, Los Alamos National Labo PETER B. GILKEY, University of Oregon, The asymp ratory, DEBORAH SuLSKY, the University of New Mexico, totics of the heat equation on a manifold with boundary. and CARLA WoFsY, the University of New Mexico. GUNDORPH K. KRISTIANSEN, Lund University, Recent Abstracts for consideration for these sessions should developments in time-domain inverse scattering theory have been submitted by the January 4, 1990 deadline. using invariant embedding techniques. This deadline was previously published in the Invited University, Title to be an RoBERT MAY, Oxford Speakers and Special Sessions section of the Notices. nounced. ALAN NEWELL, the University of Arizona, Convection Contributed Papers patterns in large containers. MARC A. RIEFFEL, University of California, Berkeley, There will also be sessions for contributed ten-minute Quantum groups and operator algebras. papers. Abstracts should be prepared on the standard AMS form available from the AMS office in Providence Special Sessions or in Departments of Mathematics. Abstracts should be sent to the Editorial Department, American Mathemat By invitation of the same committee, and in cooperation ical Society, Post Office Box 6248, Providence, Rhode and Applied Mathematics, with the Society for Industrial Island 02940, so as to arrive before the January 25, sessions of selected twenty there will be seven special 1990 abstract deadline. Participants are reminded that minute papers. The topics, and the names and affiliations a charge of $16 is imposed for retyping abstracts that of the organizers, are as follows: are not in camera-ready form. Late papers will not be solution of partial differential equations, Numerical accommodated. RICHARD C. ALLEN, Sandia National Laboratory,JosE CASTILLO, San Diego State University, and STANLY STEINBERG, the University of New Mexico. Electronic Submission of Abstracts This service is now available to those who use the TEX typesetting system and can be used with abstracts of
JANUARY 1990, VOLUME 37, NUMBER 1 41 Meetings papers to be presented at the spring sectional meet David II Report ings of the AMS. Requests to obtain the package There will be a special presentation and discussion at of files may be sent electronically on Internet to the reception Friday evening concerning the upcoming [email protected]. Requesting the files elec National Research Council David II Report. This report tronically will likely be the fastest and most convenient is to be issued this spring and could have a major impact way, but users may also obtain the package on IBM or on all mathematics departments. The focus will be on Macintosh diskettes, available free of charge by writing becoming familiar with the report and discussing its use to: Electronic Abstracts, American Mathematical Soci in our work. ety, Publications Division, P.O. Box 6248, Providence, RI 02940, USA. When requesting the Abstracts package, users should be sure to specify whether they want the Accommodations plain TEX. A.MS-TEX. or the IHEX package. A block of rooms is being held at the Sheraton Old Town Hotel, and at the Rio Grande Inn, which is within walking distance. Council Participants should make their own reservations directly with the hotels listed below and identify themselves as participants The Council of the AMS will meet at 7:00 p.m. on of the AMS and SIAM meeting in order to obtain the rates Thursday, April 19, 1990, in the Fireplace Room at the listed. Participants must make reservations 45 days in advance Sheraton Old Town. of the meeting to be assured of the quoted rates. The Ameri can Mathematical Society is not responsible for rate changes or Poster Session accommodations offered by hotels/motels in the following list. Sheraton Old Town Hotel of contributed papers will be organized. A poster session 800 Rio Grande Boulevard NW, Albuquerque, NM 87104 Telephone: 505-843-6300 or 800-237-2133 Activities of Other Organizations Single or Double $53 The Great Plains Operator Theory Seminar will also be held at the Sheraton Old Town Hotel, April 19-21, 1990. Rio Grande Inn 1015 Rio Grande Boulevard, NW Albuquerque, NM 87104 Telephone: 505-843-9500 Registration Single $29 Double $32 The meeting registration desk will be located in the lobby of the Sheraton Old Town Hotel. The meeting registration desk will be open from 6:00 p.m. to 9:00 Travel p.m. on Wednesday, April 18, and from 8:00 a.m. to The Albuquerque Airport is served by most airlines. Both the noon on Thursday, April 19, Friday, April 20, and Sheraton Old Town and the Rio Grande Inn provide free air Saturday, April 21. port shuttle service. The Albuquerque City Bus (Sun-Tran) runs The registration fee is $45, with a special $25 fee for from the airport through the downtown area at seven minutes graduate students and unemployed mathematicians, and after the hour, and at thirty-seven minutes after the hour. The a one day fee of $25. Sun-Tran Bus number is #50. Participants may board the bus on the west side of the airport on the lower level and the fare Social Event is sixty cents one-way. Cab service is also available for approx imately seven dollars one-way. On Friday evening, April 20, there will be a reception and a no-host bar at the New Mexico Museum of Weather and Local Attractions Natural History. During the evening participants will have exclusive access to most of the exhibits at this April temperatures in Albuquerque are mild, although partici outstanding museum. Further information will appear in pants are advised to bring a sweater or light jacket. Nearby ski the February issue of the Notices. areas may still be open at the time of the meeting. Old Town, in Albuquerque, has a historic plaza, Museum of Art, Museum of Natural History, and many restaurants, shops, and galleries. Petition Table Albuquerque is also home to the world's longest tramway, the A petition table will be set up in the registration area. Sandia Peak Tramway. Additional information about petition tables can be Lance W. Small found in a box in the Louisville meeting announcement Associate Secretary in the October 1989 issue of Notices. La Jolla, California
42 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Invited Speakers and Special Sessions
Invited Speakers March 1990 Meeting in Fayetteville, Arkansas at AMS Meetings Southeast Section Associate Secretary: Joseph A. Cima The individuals listed below have accepted invitations Deadline for organizers: Expired to address the Society at the times and places indicated. Deadline for consideration: Expired For some meetings, the list of speakers is incomplete. Geraldo Soares De Souza and Gary Sampson, Singular integral operators and related areas John Duncan, Banach algebras Fayetteville, AK, March 1990 Karl H. Hofmann and Jimmie D. Lawson, Semi-groups Marcel F. Neuts Mark A. Stern in geometry and analysis Vladimer I. Oliker Jonathan M. Wahl Dima Khavinson, On complex function theory of one and Manhattan, KS, March 1990 several variables Colm A. O'Cinneide, Phase-type J. Brian Conrey Jean-Pierre Rosay Itrel E. Monroe and Stewart B. Priddy Jang-Mei Wu distributions and some applications David R. Morrison and Jonathan M. Wahl, Algebraic University Park, PA, Apri11990 geometry Robert T. Glassey Lowell Edwin Jones Vladimir I. Oliker and Andrejs E. Treibergs, Geometry, Karsten Grove Gang Tian physics and nonlinear PDE's James G. Oxley, Combinatorics Albuquerque, NM, April 1990 William L. Pardon and Mark A. Stern, Differential Robert May David Campbell geometry Peter B. Gilkey Alan Newell Gundorph K. Kristiansen Marc A. Rieffel March 1990 Meeting in Manhattan, Kansas Columbus, OH, August 1990 Central Section Michael G. Crandall John Morgan Associate Secretary: Andy Roy Magid (Progress in (Progress in Deadline for organizers: Expired Mathematics Lecture) Mathematics Lecture) Deadline for consideration: Expired Saunders Mac Lane Michael E. Taylor Andrew G. Bennett, Harmonic analysis and probability (AMS-MAA) theory David J. Foulis and Richard J. Greechie, Orthostructures Denton, TX, November 1990 Kadosa M. Halasi and Qisu Zou, Numerical analysis Avner D. Ash John Leucke David H. Hamilton and John F. Rossi, Geometric func- Peter S. Constantin tion theory Organizers and Topics Lige Li, Partial differential equations of Special Sessions Satyagopol Mandai, Commutative algebra Alexander G. Ramm, Inverse problems and scattering The list below contains all the information about Spe theory cial Sessions at meetings of the Society available at the Joseph M. Rosenblatt, Ergodic theory time this issue of Notices went to the printer. The sec Richard H. Schelp, Graph theory tion below entitled Information for Organizers describes Ernest E. Shult, Groups and geometries the timetable for announcing the existence of Special George E. Strecker, Applications of category theory Sessions.
JANUARY 1990, VOLUME 37, NUMBER 1 43 Invited Speakers and Special Sessions
April 1990 Meeting in University Park, Pennsylvania March 1991 Meeting in Tampa, Florida Eastern Section Southeastern Section Associate Secretary: W. Wistar Comfort Associate Secretary: Joseph A. Cima Deadline for organizers: Expired Deadline for organizers: June 22, 1990 Deadline for consideration: Expired Deadline for consideration: To be announced Ranee Kathryn Brylinski, Classical and quantum groups Donald M. Davis, Algebraic topology Information for Organizers Thomas Farrell, Geometric topology Special Sessions at Annual and Summer Meetings are April 1990 Meeting in Albuquerque, New Mexico held under the supervision of the Program Committee Far Western Section for National Meetings (PCNM). They are administered Associate Secretary: Lance W. Small by the Associate Secretary in charge of that meeting Deadline for organizers: Expired with staff assistance from the Meetings and Editorial Deadline for consideration: Expired Departments in the Society office in Providence. Richard C. Allen, Jose Castillo and Stanly Steinberg, According to the "Rules for Special Sessions" of the Numerical solution of partial differential equations Society, Special Sessions are selected by the PCNM from Charles P. Boyer and Benjamin M. Mann, Geometry and a list of proposed Special Sessions in essentially the same topology of moduli spaces manner as Invited Speakers are selected. The number Michael A. Buchner and Wojciech Kucharz, Real alge of Special Sessions at a Summer or Annual Meeting braic geometry is limited. The algorithm that determines the number David Campbell and James M. Hyman, Dynamical sys of Special Sessions allowed at a given meeting, while tems: low dimensional behavior in partial differential simple, is not repeated here, but can be found in "Rules equations for Special Sessions" on page 614 in the April 1988 issue James Corones, Paul Nelson and Daniel Seth, Invariant of Notices. embedding and inverse problems Each Invited Speaker is invited to generate a Special Howard Fegan and Alexander P. Stone, Differential Session, either by personally organizing one or by having geometry a Special Session organized by others. Proposals to James M. Hyman, W. T. Kyner, Ann Stanley, Deborah organize a Special Session are sometimes requested Sulsky and Carla Wofsy, Mathematical biology either by the PCNM or by the Associate Secretary. Other proposals to organize a Special Session may be submitted August 1990 Meeting in Columbus, Ohio of that meeting (who Associate Secretary: W. Wistar Comfort to the Associate Secretary in charge Deadline for organizers: Expired is an ex-officio member of the committee and whose Deadline for consideration: April 27, 1990 address may be found below). These proposals must be Eiichi Bannai, Thomas A. Dowling, Dijen Ray-Chaudhuri in the hands of the PCNM well in advance of the meeting and Neil Robertson, Combinatorics and, in any case, at least nine (9) months prior to the Susan Jane Colley and Gary Kennedy, Algebraic geometry meeting at which the Special Session is to be held in Zita M. Divis and David Terman, Dynamics of biological order that the committee may consider all the proposals systems for Special Sessions simultaneously. Proposals that are S. K. Jain and S. T. Rizvi, Ring theory sent to the Providence office of the Society, to Notices, Richard J. Nowakowski, Combinatorial games or directed to anyone other than the Associate Secretary Surinder K. Sehgal and Ronald Solomon, Group theory will have to be forwarded and may not be received in time to be considered for acceptance. October 1990 Meeting in Amherst, Massachusetts It should be noted that Special Sessions must be Eastern Section announced in Notices in such a timely fashion that any Associate Secretary: W. Wistar Comfort member of the Society who so wishes may submit an Deadline for organizers: February 2, 1990 abstract for consideration for presentation in the Special Deadline for consideration: July 16, 1990 Session before the deadline for such consideration. This deadline is usually three (3) weeks before the Deadline November 1990 Meeting in Denton, Texas Central Section for Abstracts for the meeting in question. Associate Secretary: Andy Roy Magid Special Sessions are very effective at Sectional Meet Deadline for organizers: February 15, 1990 ings and can usually be accommodated. They are selected Deadline for consideration: July 16, 1990 by the Section Program Committee. The processing of proposals for Special Sessions for Sectional Meetings is handled by the Associate Secretary for the Section, who then forwards the proposals to the Section Program
44 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Invited Speakers and Special Sessions
Committee, which makes the final selection of the pro Information for Speakers at a Sectional Meeting is posals. Each Invited Speaker A great many of the papers presented in Special Sessions Session. Just as for national invited to organize a Special at meetings of the Society are invited papers, but any at a Sectional Meeting may meetings, no Special Session member of the Society who wishes to do so may submit its announcement appears past be approved so late that an abstract for consideration for presentation in a Special can no longer send ab the deadline after which members Session, provided it is received in Providence prior to presentation in that Special stracts for consideration for the special early deadline announced above and in the Session. announcements of the meeting at which the Special right of first refusal for the The Society reserves the Session has been scheduled. Contributors should know publication of proceedings of any Special Session. These that there is a limitation in size of a single Special proceedings appear in the book series Contemporary Session, so that it is sometimes true that all places are Mathematics. filled by invitation. Papers not accepted for a Special concerning proposals for and More precise details Session are considered as ten-minute contributed papers. may be found in the organizing of Special Sessions Abstracts of papers submitted for consideration for or may be obtained from "Rules for Special Sessions" presentation at a Special Session must be received by any Associate Secretary. the Providence office (Editorial Department, American Mathematical Society, P. 0. Box 6248, Providence, RI Send Proposals for Special Sessions to the 02940) by the special deadline for Special Sessions, Associate Secretaries which is usually three weeks earlier than the deadline for The programs of Sectional Meetings are arranged by the Associate contributed papers for the same meeting. The Council has Secretary for the section in question: decreed that no paper, whether invited or contributed, Far Western Section (Pacific and Mountain) may be listed in the program of a meeting of the Society Lance W. Small, Associate Secretary paper has been received in Department of Mathematics unless an abstract of the University of California, San Diego Providence prior to the deadline. La Jolla, CA 92093 Electronic submission of abstracts is now available to e-mail: [email protected] those who use the TEX typesetting system. Requests to (Telephone 619- 534- 3590) obtain the package of files may be sent electronically via Central Section the Internet to [email protected]. Requesting Andy Roy Magid, Associate Secretary the files electronically will likely be the fastest and Department of Mathematics most convenient way, but users may also obtain the University of Oklahoma 601 Elm PHSC 423 package on IBM or Macintosh diskettes, available free Norman, OK 73019 of charge by writing to: Electronic Abstracts, American e-mail: [email protected] Mathematical Society, Publications Division, P.O. Box (Telephone 405- 325-2052) 6248, Providence, RI 02940, USA. When requesti.ng Eastern Section the Abstracts package, users should be sure to spectfy W. Wistar Comfort, Associate Secretary whether they want the plain TEX, AMS-TEX, or the ~TEX Department of Mathematics Wesleyan University package. Middletown, CT 06457 e-mail: [email protected] Number of Papers Presented (Telephone 203- 34 7- 9411) Joint Authorship Southeastern Section Although an individual may present only one ten-minute Joseph A. Cima, Associate Secretary contributed paper at a meeting, any combination of joint Department of Mathematics authorship may be accepted, provided no individual University of North Carolina, Chapel Hill author can speak by invitation Chapel Hill, NC 27599-3902 speaks more than once. An e-mail: [email protected] in more than one Special Session at the same meeting. (Telephone 919-962-1050) An individual may contribute only one abstract by As a general rule, members who anticipate organizing Special title in any one issue of Abstracts, but joint authors Sessions at AMS meetings are advised to seek approval at least nine are treated as a separate category. Thus, in addition to months prior to the scheduled date of the meeting. No Special Sessions abstracts from two individual authors, one joint abstract can be approved too late to provide adequate advance notice to by them may also be accepted for an issue. members who wish to participate.
JANUARY 1990, VOLUME 37, NUMBER 1 45 Joint Summer Research Conferences in the Mathematical Sciences University of Massachusetts at Amherst, MA, June 7 to July 4, 1990
The 1990 Joint Summer Research Conferences in the mail: [email protected] on the Internet, or by Mathematical Sciences will be held at the University of FAX: 401-331-3842. Massachusetts at Amherst from June 7 to July 4. It is Please type or print the following: anticipated that the conferences will be supported by grants from the National Science Foundation and other 1.Title and dates of conference desired; agencies. 2.Full name; 3.Mailing address; There will be six conferences in six different ar 4.Telephone number and area code for office and home; eas of mathematics. The topics and organizers for the 5.Member of AMS, IMS, or SIAM? If AMS, please give conferences were selected by the AMS-IMS-SIAM Com member code; mittee on Joint Summer Research Conferences in the 6.Your scientific background relevant to the topic of Mathematical Sciences. The selections were based on the conference; suggestions made by the members of the committee and ?.Financial assistance requested; please estimate cost individuals submitting proposals. The committee consid of travel; ered it important that the conferences represent diverse 8.1ndicate if interested in attending if support is not areas of mathematical activity, with emphasis on areas offered. Indicate if support is not required. currently especially active and paid careful attention to subjects in which there is important interdisciplinary Funds may also be available for foreign graduate stu activity at present. dents under the Short Term Enrichment Program (STEP) The conferences are similiar in scientific structure to of the United States Information Agency (USIA). Stu those held throughout the year at Oberwolfach. These dents must meet the following eligibility requirements: conferences are intended to complement the Society's 1. must be enrolled in full-time graduate studies at a program of annual Summer Institutes and Summer U.S. institution of higher education; 2. are not receiving Seminars, which have a larger attendance and are sub any U.S. government funds for academic support; 3. are stantially broader in scope. The conferences are research not on refugee, immigrant, or tourist visa status; and 4. conferences and are not intended to provide an entree to have not been awarded STEP grants previously. Those a field in which a participant has not already worked. eligible should include the following information when It is expected that funding will be available for a lim supplying the above eight items: 1. home country; 2. ited number of participants in each conference. Others, student status; 3. name of institution enrolled; 4. name in addition to those funded, will be welcome, within the of an official at the institution who can verify status and limitations of the facilities of the campus. In the spring financial situation. a brochure will be mailed to all who are invited to attend The deadline for receipt of applications is Febmary the conferences. The brochure will include information 23, 1990. Requests for invitations will be forwarded on room and board rates, the residence and dining hall to the Organizing Committee for each conference for facilities, travel and local information and a housing consideration after February 23. Applicants selected will form to use to request on-campus accommodations. In receive formal invitations and notification of financial formation on off-campus housing will also be included assistance from the AMS. Requests received past the in the brochure. Participants should make their own deadline will be returned. Funds available for these housing and travel arrangements. Each participant will conferences are limited and individuals who can obtain be required to pay nominal registration and social fees. support from other sources should do so. Women and Those interested in attending one of the confer members of minority groups are encouraged to apply ences should send the following information to the and participate in these conferences. Summer Research Conference Coordinator, Meetings Any questions concerning the scientific portion of Department, American Mathematical Society, Post Of the conference should be directed to the chair or any fice Box 6248, Providence, RI 02940, through electronic member of the Organizing Committee.
46 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Joint Summer Research Conferences
The Joint Summer Research Conferences in the Thursday, June 14 to Wednesday, June 20 of the Mathematical Sciences are under the direction Deformation theory of algebras and quantization on Joint Summer Research AMS-IMS-SIAM Committee with applications to physics Conferences in the Mathematical Sciences. The follow of ing committee members chose the topics for the 1990 MURRAY H. GERSTENHABER (University conferences: William B. Arveson, John A. Bums, Martin Pennsylvania), Co-Chair Golubitsky, Daniel J. Kleitman, Anthony W. Knapp, JAMES D. STASHEFF (University of North Carolina at Ingram Olkin, Mary Ellen Rudin, Stephen Simpson and Chapel Hill), Co-Chair Gregg J. Zuckerman. Descriptions of the subject matter of each of the 1990 Thursday, June 21 to Wednesday, June 27 conferences appeared in the October and November Notices, pages l 087- 1089 and 1242- 1243 respectively; Strategies for sequential search and selection they were accompanied by lists of members of the in real time respective Organizing Committees. THOMAS S. FERGUSON (University of California, Los Angeles), Co-Chair Thursday, June 7 to Wednesday, June 13 STEPHEN M. SAMUELS (Purdue University), Co-Chair Probability models and statistical analysis for ranking data Thursday, June 21 to Wednesday, June 27 MICHAEL A. FLIGNER (The Ohio State University), Schottky Problems Co-Chair, LEON EHRENPREIS (Temple University), Co-Chair JosEPHS. VERDUCCI (The Ohio State University), ROBERT C. GUNNING (Princeton University), Co-Chair Co-Chair Thursday, June 28 to Wednesday, July 4 Thursday, June 7 to Wednesday, June 13 Logic, local fields, and subanalytic sets Inverse scattering on the line Lou VAN DEN DRIES (University of Illinois at DAVID SATTINGER (University of Minnesota, Urbana-Champaign), Chair Minneapolis), Chair
3-MANIFOLDS WHICH ARE END 1-MOVABLE Matthew G. Brin and T. L. Thickstun D (Memoirs of the AMS, Number 411) D While requiring only the basics of 3-manifold topology as The class of manifolds examined here also includes the background, this book introduces recent techniques that will ··missing boundary"· manifolds. The authors provide a new certainly find further application and brings readers to the characterization of orientable, missing boundary 3-manifolds frontiers of the topology of noncompact 3-manifolds. and contribute some information about the open question of determining which covers of compact 3··manifolds are missing Traditional techniques for analyzing noncompact 3-manifolds boundary'manifolds. involve study of its compact subsets. By contrast, this work utilizes certain open subsets called end reductions, which are ··simple·· approximations to a noncompact manifold that inherit many of the manifold's properties. In this work, the 1980 Mathematics Subject Classifications: 57N10; 57M10, 57N65 authors further their development of the concept of end ISBN 0-8218-2474-0, LC 89-15146 reduction and use it to analyze all orientable, noncompact ISSN 0065-9266 73 pages (softcover), September 1989 3-manifolds in which loops near infinity homotop to infinity Individual member $9, List price $15, while staying near infinity (this is the proper homotopy Institutional member $12 condition .. end 1-movable·· of the title}. To order, please specify MEM0/411NA
All prices subject to change. Shipment will be made by surface. For air delivery add, 1st book $5, each additional book $3, maximum $100. Prepayment required. Order from American Mathematical Society, P.O. Box 1571, Annex Station, Providence, RI 02901-1571, or call toll free 800-321-4AMS to charge with VISA or MasterCard.
JANUARY 1990, VOLUME 37, NUMBER 1 47 1990 Summer Seminar in Applied Mathematics Vortex dynamics and vortex methods University of Washington, Seattle, June 18-29
The twenty-first AMS-SIAM Summer Seminar in Applied Those interested in attending the seminar should send Mathematics will be held June 18-29, 1990, at the the following information to the Summer Seminar Con University of Washington, Seattle. The seminar will be ference Coordinator, American Mathematical Society, P. sponsored jointly by the American Mathematical Society 0. Box 6248, Providence, RI 02940, by electronic mail: and the Society for Industrial and Applied Mathematics. [email protected], or by FAX: 401-331-3842 be It is anticipated that the seminar will be supported by fore March 23, 1990. a grant from federal agencies. The proceedings of the Please type or print the following: seminar will be published by the AMS in the Lectures in 1.Full name; Applied Mathematics series. 2.Mailing address; The conference will feature expository lectures and 3.Telephone number and area code for office and home. advanced research talks on vorticity-dominated flows. E-mail address (if applicable); The subjects of the talks will include numerical meth 4.Member of AMS or SIAM? Include customer code if ods and computations, and some applied mathematical an AMS member; analysis and laboratory experiments. A goal of this con 5.Anticipated arrival and departure dates; ference is to bring together researchers with different 6.Your scientific background relevant to the topic of viewpoints in order to suggest new approaches and to the seminar; facilitate critical evaluations of existing techniques. 7.Financial assistance requested (please estimate cost The invited speakers include J. BELL, Lawrence Liver of travel); more National Laboratories; R. CAFLISCH, University of 8.Indicate if interested in attending if support is not California, Los Angeles; A. J. CHORIN, University of Cal offered. Indicate if support is not required. ifornia, Berkeley; A. GHONIEM, Massachusetts Institute of Technology; E. HoPFINGER, Universite de Grenoble; Participants who wish to apply for a grant-in-aid T. Hou, Courant Institute of Mathematical Sciences, should so indicate; however, funds available for the New York University; H.-0. KREISS, University of Cali seminar are very limited and individuals who can obtain fornia, Los Angeles; A. MAJDA, Princeton University; T. support from other sources should do so. Graduate MAXWORTHY, University of Southern California; J. NEU, students who have completed at least one year of graduate University of California, Berkeley; S. 0RSZAG, Princeton school are encouraged to participate. University; P. SAFFMAN, California Institute of Technol Funds may also be available for foreign graduate stu ogy; and N. ZABUSKY, University of Pittsburgh. dents under the Short Term Enrichment Program (STEP) The Organizing Committee consists of CHRISTOPHER of the United States Information Agency (USIA). Stu R. ANDERSON, University of California, Los Angeles, co dents must meet the following eligibility requirements: chair; STEPHEN CHILDRESS, Courant Institute of Mathe 1. must be enrolled in full-time graduate studies at a matical Sciences, New York University; GEORGE-HENRI U.S. institution of higher education; 2. are not receiving CoTTET, University of California, Los Angeles and any U.S. government funds for academic support; 3. are Ecole Polytechnique, Paris; CLAUDE GREENGARD, IBM not on refugee, immigrant, or tourist visa status; and 4. T.J. Watson Research Center, co-chair; and ANTHONY have not been awarded STEP grants previously. Those LEONARD, California Institute of Technology. eligible should include the following information when A brochure will be available from the AMS office supplying the above eight items: 1. home country; 2. which will include a description of the scientific program, student status; 3. name of institution enrolled; 4. name information on accommodations, and local information. of an official at the institution who can verify status and Participants will be required to pay a $20 registration financial situation. fee and a nominal social fee.
48 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY 1990 Summer Research Institute Differential Geometry University of California, Los Angeles, July 8-28
The thirty-eighth Summer Research Institute sponsored Many other operators also arise naturally, as the Euler by the American Mathematical Society will be devoted Lagrange equations for variational problems. Naturally to Differential Geometry and will take place at the arising variational problems yield the minimal subman University of California, Los Angeles. Members of the ifold equations, the equations for harmonic maps, the Organizing Committee are: RoBERT BRYANT, Duke Uni complex Mange-Ampere equation for the Ricci curva versity; EuGENIO CALABI, University of Pennsylvania, ture of a Kahler manifold, and the Yang-Mills equations. S. Y. CHENG, University of California, Los Angeles; Since the early 1970's, significant progress has been made H. BLAINE LAWSON, State University of New York, in understanding all these partial differential equations Stony Brook; H. Wu, University of California, Berke and many others on manifolds. In a virtually unprece ley; ROBERT E. GREENE, University of California, Los dented way, it has become possible to approach the Angeles (co-chair); and S. T. YAu, Harvard University problems of geometry by direct study of the relevant par (co-chair). tial differential equations. The results have transformed It is anticipated that the institute will be partially sup the subject of differential geometry. ported by a grant from the National Science Foundation. Any reasonably short list of specific theorems will Proceedings of the institute will be published in the AMS be necessarily partial, so numerous are the results, but series Proceedings of Symposia in Pure Mathematics. some highlights will help to indicate the magnitude of This topic was selected by the 1988 AMS Commit the progress made: the solution of the Calabi Con tee on Summer Institutes and Special Symposia whose jecture on the existence of canonical Einstein-Kiihler members at the time were: STEVEN L. KLEIMAN (chair), metrics; the related constructions of a canonical com HAYNES R. MILLER, RAGHAVAN NARASIMHAN, PAUL H. plete Einstein-Kiihler metric on pseudoconvex domains RABINOWITZ, THOMAS C. SPENCER, and ROBERT B. in en; the solution of the positive mass conjecture of rel WARFIELD, JR .. ativity; the classification of manifolds of positive scalar The years since the last AMS Summer Institute on curvature; results on minimal surfaces in 3-manifolds differential geometry, held in 1973, have been a period which were instrumental in the proof of the Smith of explosive growth and exciting research in this subject. Conjecture; the use of harmonic maps to prove rigidity Seen in retrospect, the 1973 institute both recounted theorems for complex manifolds; the characterization the accomplishments in geometry in the 1960's and early of en by curvature and related results on gap phe 1970's and at the same time marked some new directions nomena for Riemannian manifolds; the development of for the field. Riemannian geometry in the purest sense harmonic function theory on manifolds; the construction along with the theory of characteristic classes in geometry of surfaces of constant mean curvature; new results on were enjoying a triumphant period. The previous decade differential systems; the determination of the possible had seen the quarter-pinching Sphere Theorem results, holonomy groups; the solution of the Frankel conjecture on complete open manifolds of nonnegative curvature, on compact Kahler manifolds of nonnegative bisectional the use of heat kernel asymptotics in invariant theory, curvature; the solution of the Yamabe problem; the de the discovery of new invariants, and the rapid growth of formation of manifolds of positive Ricci curvature to the theory of foliations. The 1973 institute also heralded constant positive; and the existence of canonical metrics a new era just beginning: work on prescribed curvature, on stable vector bundles. the renewed interest in the spectrum of the Laplacian, Special mention should be made of the spectacular and the beginning of the study of complex manifolds geometric results arising from Yang-Mills theory. Yang using analytic a methods. These were all portents of a Mills theory is again an example of an extremal problem, new growth period which would involve a vast increase in this case in effect the minimization of the square in the use of partial differential equations in geometry. integral of the curvature of a connection on a princi Partial differential equations arise naturally in pal bundle. When the bundle lies over a 4-dimensional geometry. The association of curvature tensor to metric manifold, an additional structural feature arises in that is itself a partial differential operator, which could be the Hodge star takes the curvature 2-form again to a thought of as the central object of the whole subject. 2-form, so that 2-forms can be symmetrized and an-
JANUARY 1990, VOLUME 37, NUMBER 1 49 Summer Research Institute tisymmetrized relative to this operation. Out of this Information on housing, dining, travel and the local rich geometric structure arises the possibility of proving area will be sent to invited participants in the spring. profound differential topological results on 4-manifolds Each participant will pay a registration fee and a social by geometric methods. The most spectacular of these is fee to cover the costs of social events scheduled during perhaps the existence of "exotic" (nonstandard) differen the institute. tiable structures on topological R4 • Those interested in receiving an invitation to partici There have also been revolutionary developments pate in the institute should send the following informa in Riemannian geometry outside the partial differential tion to the Summer Institute Conference Coordinator, equations methods. New concepts and methods involving American Mathematical Society, Post Office Box 6248, the limiting behavior of metrics and the structure of the Providence, RI 02940, prior to April 1, 1990 or through space of Riemannian manifolds as a whole has given electronic mail: [email protected], or by FAX: new life to manifold geometry. Highlights include: the 401-331-3842. characterization of almost flat manifolds; the bounds on Please type or print the following: the Betti numbers of manifolds of nonnegative curva l.Full name; ture; finiteness and convergence theorems for manifolds 2.Mailing address; satisfying curvature bounds; and a comprehensive theory 3.Telephone number and area code for office and home; of manifolds of negative curvature. 4.Which week or weeks you wish to attend; The general intention for the 1990 Summer Insti 5.Your scientific background relevant to the institute tute is to cover not only developments in differential topic; geometry itself, but also related topics in other parts of 6.Financial assistance requested; mathematics and in physics. The planned format is to ?.Indicate if interested in attending if support is not have a number of one hour survey lectures in the morn offered. Indicate if support is not required. ing sessions offering more broadly sketched viewpoints, 8.If member of AMS, give AMS member code. followed in the afternoons by shorter, more specialized Funds may also be available for foreign graduate stu seminar lectures in parallel sessions. For organizational dents under the Short Term Enrichment Program (STEP) purposes the subject will be divided into eight subdi of the United States Information Agency (USIA). Stu visions: Riemannian geometry; minimal submanifolds; dents must meet the following eligibility requirements: complex geometry and L 2 cohomology; general theory 1. must be enrolled in full-time graduate studies at a of partial differential equations on manifolds - harmonic U.S. institution of higher education; 2. are not receiving functions and mappings, Mange-Ampere equation, dif any U.S. government funds for academic support; 3. are ferential systems, and isometric embedding; eigenvalues, not on refugee, immigrant, or tourist visa status; and 4. heat flow, and index theory; gauge theory and geome have not been awarded STEP grants previously. Those try in mathematical physics; groups and manifolds, and eligible should include the following information when dynamical systems; and symplectic geometry. supplying the above eight items: 1. home country; 2. While it is anticipated that seminar activity on all student status; 3. name of institution enrolled; 4. name these topics will continue throughout the three weeks of an official at the institution who can verify status and of the institute, each week will have a different specific financial situation. emphasis on two or more of the eight topics. Further details, along with the names of the survey lecturers will Requests for invitations will be forwarded to the be provided in a later announcement. Organizing Committee for consideration up to the dead Accommodations will be available in the campus line of April 1, and applicants selected will receive residence halls for participants; cafeteria style meals formal invitations and notification of financial assistance will be available. All facilities will be accessible to the beginning in mid-May. handicapped.
50 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Mathematics Sessions at the AAAS Annual Meeting New Orleans, Louisiana, February 15-20, 1990
The 1990 Annual Meeting of the AAAS, February 15-20 •Frontiers of physical sciences: A mathematics lecture in New Orleans, will feature many outstanding expository by FRANK MORGAN, Williams College. talks by prominent mathematicians. These include the •One day short course on Chaotic dynamical systems following symposia (three-hour sessions) and invited by ROBERT L. DEVANEY, Boston University. talks cosponsored by Section A (Mathematics) of the AAAS and the Society. The names and affiliations of Section A of the AAAS is also cosponsoring various the organizers follow (speakers' names are given in symposia that will be of interest to mathematicians and parentheses): mathematics educators. These include: •Radon and Penrose transforms: Medical imaging to •Chaos in the balance of nature supersymmetry, organized by JAMES V. PETERS, Long •Symmetry: Its theory and application through science Island University, C.W. Post Center, and ToDD I QUINTO, Tufts University. (Allan Cormack, Gabor •Mathematical models in the social sciences Herman, Larry Shepp, Ron 0. Wells) •The contributions of R.A. Fisher to science (sympo •New directions in the philosophy of mathematics, or sium commemorating the centennial of R.A. Fisher's ganized by REUBEN HERSH, University of New Mex birthday) ico. (Gian-Carlo Rota, Thomas Tymoczko, Nicholas Goodman, Hao Wang, Martin Krieger, Michael •Revitalizing science and mathematics education Resnik) through the use of technology •Computational and mathematical modeling: A study of •Project approaches in developing new introductory oil production and water resources, organized by JAMES physics, chemistry, and mathematics curricula G. GLIMM, New York University. (James Glimm, Richard Ewing, Brent Lindquist, Larry Lake, David • The development of pre-adult attitudes toward science Wilkinson) and mathematics in Japan and the United States. •Geometry today, organized by ERWIN LUTWAK, Poly A meeting of the Section A Committee will take technic University of New York, and RALPH ALEXAN place from 4:00 p.m. to 6:00 p.m. on February 15 DER, University of Illinois at Urbana. (George Fran in Marlborough B Room of the New Orleans Hilton. cis, Vladimir Oliker, Herman Gluck, Gian-Carlo The committee meeting is open to all who wish to Rota) stimulate interest and activities of the mathematical AAAS. •Zero knowledge proofs and their applications, orga sciences within the see the November 10, 1989, issue of nized by SILVIO MICALI, Massachusetts Institute of For details Science. Additional information on Section A activities Technology. (Shafi Goldwasser, Manuel Blum, Silvio can be found in the News and Announcements section of Micali) the November 1989 issue of Notices.
JANUARY 1990, VOLUME 37, NUMBER 1 51 Mathematical Sciences Meetings and Conferences January 1990 28-February 3. Regelungstheorie, Ober wolfach, Federal Republic of Germany. (Mar. 1989, p. 314) 29-February 16. Second College on Vari ational Problems in Analysis, Interna tional Centre for Theoretical Physics, Trieste, Italy. (MayjJun. 1989, p. 600)
February 1990 1-4. Topological and Measurable Dy THIS SECTION contains announcements of meetings and conferences of interest to namics, Minneapolis, MN. (Nov. 1989, some segment of the mathematical public, including ad hoc, local, or regional meetings, p. 1247) devoted to specialized topics, as well as announcements and meetings or symposia * 3. Eighty-seventh Ontario Mathemat of regularly scheduled meetings of national or international mathematical organizations. (Information on meetings of the Society, and on meetings sponsored by the Society, will ics Meeting, Ottawa, Ontario, Canada. be found inside the front cover.) (Please note changes from Oct. 1989, AN ANNOUNCEMENT will be published in Notices if it contains a call for papers, p. 1094) and specifies the place, date, subject (when applicable), and the speakers; a second INVITED SPEAKERS: P. March, Ohio announcement will be published only if there are changes or necessary additional full Bell information. Once an announcement has appeared, the event will be briefly noted in each State University; N.J.A. Sloane, issue until it has been held and a reference will be given in parentheses to the month, Laboratories; W.P. Thurston, Prince year, and page of the issue in which the complete information appeared. Asterisks (*) ton University. mark those announcements containing new or revised information. IN GENERAL, announcements of meetings and conferences held in North America carry 4-10. Funktiontheoretische Methoden only date, title of meeting, place of meeting, names of speakers (or sometimes a general Bei Partiellen Differential Und lntegral statement on the program), deadlines for abstracts or contributed papers, and source gleichungen, Oberwolfach, Federal Re of further information. Meetings held outside the North American area may carry more public of Germany. (Mar. 1989, p. 314) detailed information. In any case, if there is any application deadline with respect to 4-10. Nukleare Frechet-Riiume, Ober participation in the meeting, this fact should be noted. All communications on meetings wolfach, Federal Republic of Germany. and conferences in the mathematical sciences should be sent to the Editor of Notices, (Mar. 1989, p. 314) care of the American Mathematical Society in Providence. DEADLINES for entries in this section are listed on the inside front cover of each issue. In 5-10. Eighth International Seminar on order to allow participants to arrange their travel plans, organizers of meetings are urged Model Optimization in Exploration Geo to submit information for these listings early enough to allow them to appear in more than physics, with a Workshop on Geophysical one issue of Notices prior to the meeting in question. To achieve this, listings should be Data Inversion in Environmental Research received in Providence SIX MONTHS prior to the scheduled date of the meeting. and Planning, Berlin-West, Free Univer EFFECTIVE with the 1990 volume of Notices, the complete list of Mathematical Sciences sity of Berlin, Federal Republic of Ger Meetings and Conferences will be published only in the September issue. In all other many. (Jul./ Aug. 1989, p. 765) issues, only meetings and conferences for the twelve-month period following the month of that issue will appear. As new information is received for meetings and conferences 11-15. The Twenty-sixth Australian Ap that will occur later than the twelve-month period, it will be announced at the end of the plied Mathematics Conference, Coolan listing in the next possible issue. That information will not be repeated until the date of gatta, Queensland, Australia. (Sep. 1989, the meeting or conference falls within the twelve-month period. p. 915) 11-17. Funktiontheorie, Oberwolfach, Federal Republic of Germany. (Mar. 1989-1990. Academic Year Devoted to putational Physics, Boulder, Colorado. 1989, p. 315) Hyperbolic Geometry and Quasiconformal (Sep. 1989, p. 914) 12-16. Southeastern International Con Mappings, Mittag-Leffler Institute, Djur 1990. IMACS Conference on Computer ference on Combinatorics, Graph Theory, sholm, Sweden. (Dec. 1988, p. 1584) Aided Design, Yugoslavia. (Sep. 1989, and Computing, Florida Atlantic Uni 1989-1990. Special Year in Geometry, p. 914) versity, Boca Raton, FL. (Dec. 1989, University of Maryland, College Park, 1990-1991. Academic Year Devoted to p. 1433) MD. (Dec. 1989, p. 1432) Operator Theory and Complex Analysis, * 12-16. Internationaler Workshop Kom Mittag-Leffler Institute, Djursholm, Swe plexe Analysis, Wuppertal, Federal Re den. (Dec. 1989, p. 1432) public of Germany. 1990. IMACS International Workshop ORGANIZERs: K. Diederich, Wupper on Massively Parallel Methods in Com- tal; J.E. Fornaess, Princeton; I. Lieb, Bonn.
52 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Meetings and Conferences
INFORMATION: Workshop Komplexe 26-March 2. IEEE Computer Society burg, BundesstraBe, Hamburg. (Oct. 1989, Analysis, Frau D. Lindner, Mathe COMPCON Spring '90, San Francisco, p. 1094) matik, UniversiHit-GHS Wuppertal, CA. (Sep. 1989, p. 915) 19-22. Eleventh Annual National Graph GauBstr. 20, D-5600 Wuppertal 1. ics Association Conference and Expo sition, Anaheim, CA. (Jul./ Aug. 1989, 15-20. American Association for the March 1990 p. 766) Advancement of Science Annual Meeting, 1-4. Mathematicians and Education Re 19-24. US-USSR Approximation Theory New Orleans, LA. (Nov. 1989, p. 1248) form Network, Ohio State University, Conference, University of South Florida, I 7-19. Algebraic Geometry and Group Columbus, Ohio. (Nov. 1989, p. 1248) Tampa, FL. (Jul./ Aug. 1989, p. 766) Theory Conference/Inaugural Meeting of 4-10. Interval Methods for Numerical 19-April 13. Mathematical Physiology the Ulam Quarterly, West Palm Beach, Computation, Oberwolfach, Federal Re and Differential-Delay Equations, Min Florida. (Nov. 1989, p. 1248) public of Germany. (Mar. 1989, p. 315) neapolis, MN. (Nov. 1989, p. 1248) 18-24. Mathematische Modelle in Der 5-7. SIAM Conference on Applied Prob 20-23. Directions in Matrix Theory, Biologie, Oberwolfach, Federal Republic ability in Science and Engineering, New Auburn, AL. (May/Jun. 1989, p. 601) of Germany. (Mar. 1989, p. 315) Orleans, LA. (Nov. 1988, p. 1389) 23-24. Southeastern Section Meeting 20-22. Association for Computing Ma 5-7. Symposium on Symbolic Computa of the AMS, University of Arkansas, chinery 1990 Computer Science Confer tion (on the occasion of the sixtieth birth Fayetteville, AR. ence, Washington, D.C. (May/ Jun. 1989, day of Erwin Engeler), Zurich, Switzer p. 601) INFORMATION: W. Drady, AMS, P.O. land. (Sep. 1989, p. 915) 22-23. Twenty-first SIGCSE Technical Box 6248, Providence, RI 0240. *5-9. Bifurcations Dynamiques, Marseille, Symposium, Washington, D.C. (MayfJun. France. 23-24. University of Arkansas' Four 1989, p. 601) Annual Lecture Series in Math CHAIRMEN: M.M. Candelpergher; Lo teenth * 23-24. Second Annual Southeast Dy ematical Sciences, Univ. of Arkansas, bry, Nice; Benoit, Antipolis. namical Systems Conference, University Fayetteville, Arkansas. (Oct. 1989, of South Alabama, Mobile, AL. INFORMATION: A. Zeller-Meier, CIRM, Luminy, Case 916, F-13288 Marseille p. 1095) INVITED SPEAKERs: L. Block, F. Cedex 9. 25-31. Kontinuumsmechanik der Festen Botelho, R. Fox, J. Franks, D. Fried, Korper, Oberwolfach, Federal Republic J. Hawkins, J. Milnor, S. Newhouse, 11-17. Mathematische Stochastik, Ober of Germany. (Mar. 1989, p. 315) K. Palmer. wolfach, Federal Republic of Germany. 26-29. Workshop on Number Theory and INFORMATION: S. Williams, Dept. of (Mar. 1989, p. 315) Algorithms, Berkeley, CA. (Sep. 1989, p. Math. and Stat., Univ. of South Al 12-16. Twist Mappings and Their Appli 916) abama, Mobile, AL 36688; 205-460- cations, Minneapolis, MN. (Nov. 1989, 26-April 6. Workshop on Group Theory 6264; email: [email protected]. p. 1248) from a Geometrical Viewpoint, Interna * 25-26. Conference on Approximation 13-16. Twenty-first Annual Iranian tional Centre for Theoretical Physics, Theory and Functional Analysis (in honor Mathematics Conference, University of Trieste, Italy. (May/Jun. 1989, p. 601) of Professor George Lorentz on the occa Isfahan, Iran. (Jul./ Aug. 1989, p. 766) 28-29. Chaos in Praxis: The Application sion of his 80th birthday), Texas A&M 14-1 9. East European Category Semi of Nonlinear Dynamics in Social Realms, University, College Station, TX 77843. nar, Predela, Bulgaria. (May/ Jun. 1989, Battelle Conference Center, Seattle, WA. p. 601) (Nov. 1989, p. 1249) INFORMATION: Contact Charles Chui 15-21. International Conference on Dif Modern Perspectives of Mathe at Bitnet: e443cc@tamvml. 29-31. ferential Equations and Mathematical matics: Mathematics in Academia, Math 25-March 3. Eigenwertaufgaben In Natur Physics, University of Alabama at Birm ematics as a Consumer Good, Cornell Und lngenieurwissensachaften Und Ihre ingham, Alabama. (Oct. 1989, p. 1094) University, Ithaca, NY. (Nov. 1989, Numerische Behandlung, Oberwolfach, 16-1 7. Central Section Meeting of the p. 1249) Federal Republic of Germany. (Mar. AMS, Kansas State University, Manhat * 30-31. Illinois Number Theory Confer- 1989, p. 315) tan, KS. ence, Urbana, IL. * 26-27. Workshop on Asymptotic Anal INFORMATION: W. Drady, AMS, P.O. INVITED SPEAKERS: G.E. Andrews, ysis and Numerical Solution of PDEs, Box 6248, Providence, RI 02940. Penn. State Univ.; B. Conrey, Ok Argonne, Illinois. lahoma State Univ.; A. Ghosh, Okla 16-18. Conference on Stochastic Flows, INFORMATION: H.G. Kaper, Mathe homa State Univ.; A. Sarkozy, Hun University of North Carolina at Char matics and Computer Science Divi garian Academy of Science. lotte, NC. (Dec. 1989, p. 1434) sion, Argonne National Laboratory, INFORMATION: B. Berndt, Dept. of 312-972-7162; email: 18-24. Masstheorie, Oberwolfach, Fed Mathematics, Univ. of Illinois, Ur [email protected]. eral Republic of Germany. (Mar. 1989, bana IL 6180 I; email: p. 315) [email protected]. uiuc.edu. 18-24. Third Centenary Celebration of the Mathematische Gesellschaft in Ham-
JANUARY 1990, VOLUME 37, NUMBER 1 53 Meetings and Conferences
Halberstam, Illinois; A. May, INMOS INFORMATION: A. Zeller-Meier, CIRM, Ltd; A. Wilkie, Oxford. Luminy, Case 916, F-13288 Marseille April1990 INFORMATION: 42nd BMC, School of Cedex 9. * 1-3. Low Dimensional Dynamics, Uni- Mathematics, University of East An 18-21. Sixty-eighth Annual Meeting of versity of Maryland at College Park. glia, Norwich, Norfolk NR4 7TJ. the National Council of Teachers of Math INVITED SPEAKERs: J. Guckenheimer, 4-7. Symposium on Distributions with ematics, Salt Lake City, UT. (Jul./ Aug. A. Katok, M. Levi, S. Newhouse, R. Given Marginals (In Memory of Giuseppe 1989, p. 766) Williams, M. Yakobson, J. Yorke, L. Pompilj), Rome, Italy. (Oct. 1989, p. 1095) 19-21. Fourth National Conference on Young. 5-7. Twenty-fourth Annual Spring Topol Undergraduate Research, Union College, INFORMATION: M. Boyle or M. Yakob ogy Conference, Southwest Texas State Schenectady, NY. (Nov. 1989, p. 1249) of Mathematics, Univer son, Dept. Univ., San Marcos, TX. (Nov. 1989, 19-21. Conference on Function Spaces, College Park MD sity of Maryland, p. 1249) Southern Illinois University, Edwards 20742; email: [email protected] * 5-8. Conference on Algebraic K-theory ville, IL. (Dec. 1989, p. 1435) or and Algebraic Number Theory, Johns Uni mvy@lakisis. umd.edu. 19-22. 1990 Far Western Section, Hopkins Univ., Baltimore, MD. versity of New Mexico, Albuquerque, 1-4. ENAR Spring Meeting, Baltimore, INFORMATION: JAMI, Mathematics De New Mexico. 1989, p. 766) MD. (Jul./ Aug. partment, The Johns Hopkins Univer INFORMATION: W. Drady, AMS, P.O. 1-7. Design and Codes, Oberwolfach, sity, Baltimore, MD 21218; 301-338- Box 6248, Providence, RI 02940. Federal Republic of Germany. (Jul./ Aug. 7399. 1989, p. 766) * 22-25. Directions for the Decade in 1-14. NATO Advanced Study Institute 7-8. Eastern Section Meeting of the SUPERcomputing, University of Florida, Uni on "Generators and Relations in Groups AMS, Pennsylvania State University, Gainesville, FL. versity Park, PA. (Note change in date and Geometries", Castelvecchio Pascoli or K. Pace, from Oct. 1989, p. 1095) INFORMATION: S. Trickey (Lucca), Italy. (Sep. 1989, p. 916) College of Liberal Arts and Sciences, * 3-4. Mathematics in a Changing Culture, INFORMATION: W. Drady, AMS, P.O. 2014 Turlington Hall, Univ. of Florida, Glasgow College, Glasgow, Scotland. Box 6248, Providence, RI 02940. Gainesville, FL 32611-2036; email: [email protected]. PURPOSE: Mathematics education is 7-8. 1990 Association for Symbolic facing the challenge of dealing effec Logic Spring Meeting (in conjunction 22-27. Tenth Conference on Analytic tively with the problems arising from with a Spring meeting of the AMS and Functions, Kozubnik, Poland. (Oct. 1989, the widening of student access, the a MAMLS meeting), Pennsylvania State p. 1095) and problem of providing education University, University Park, PA. (Nov. 22..:.28. Einhollende Algebren und Ringe not only to the needs training relevant 1989, p. 1249) Von Differentialoperatoren, Oberwolfach, but to the expected needs of of today * 8-12. Gamm-Jahrestagung, Hannover, Federal Republic of Germany. (Jul./ Aug. The conference aims to tomorrow. Federal Republic of Germany. 1989, p. 766) address these problems as they affect on Value Distribu the teaching of mathematics, statistics INFORMATION: E. Stein, Univ. Han 28-29. Symposium Variables, and operational research in all types nover, Appelstr. 9A, D-3000 Han tion Theory in Several Complex Dame, Notre Dame, In and levels of courses. nover I. Univ. of Notre p. 1250) INFORMATION: S. McAllister, Confer diana. (Nov. 1989, 8-14. Arbeitsgemeinschaft Mit Aktuellem ence Secretary, Dept. of Mathematics, 29-May 5. Gruppentheorie (Pro-Endliche Thema (wird in den Mitteilungen der Glasgow College, Cowcaddens Rd., Gruppen), Oberwolfach, Federal Repub DMV Heft 1/1990 bekanntgegeben), Ober Glasgow G4 OBA; phone 041 332 lic of Germany. (Jul./ Aug. 1989, p. 766) wolfach, Federal Republic of Germany. 7090 ext. 336; email: * 30-May 4. Mathematiques pour Ia Robo- (Jul./ Aug. 1989, p. 766) [email protected]. tique, Marseille, France. 9-13. Fifth Workshop on Mathemati * 3-5. Forty-second British Mathematical cal Aspects of Computer Science, Miigde CHAIRMEN: J.-J. Risler, Paris; A. Gal Colloquium, University of East Anglia, sprung, German Democratic Republic. ligo, Nice. Norwich, Norfolk, England. (Nov. 1989, p. 1249) INFORMATION: A. Zeller-Meier, CIRM, Marseille 15-21. Mathematical Concepts of De Luminy, Case 916, F-13288 INVITED SPEAKERS: W. Feit, Yale; Cedex 9. R. Graham, Bell Labs; S.J. Taylor, pendable Systems, Oberwo1fach, Federal Virginia; G. Ellis, Galway; M. Prest, Republic of Germany. (Jul./ Aug. 1989, Manchester; A. Chetwynd, Lancaster; p. 766) May 1990 17-21. Phenomenes de Stokes et Resur S. Bullett, QMC; R. Plymen, Manch * 3-4. Twenty-first Annual Pittsburgh Con gence, Marseille, France. ester; N. Stephens, Cardiff; S. Don kin, ference on Modeling and Simulation, Uni QMC; M. Barlow, Cambridge; J. Gray, CHAIRMEN: J. Martinet, J.P. Ramis. versity of Pittsburgh, Pittsburgh, PA. Open; D. Benson, Oxford; P. Krop (Sep. 1989, p. 916) holler, QMC; W. Chen, Imperial; H.
54 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Meetings and Conferences
* 5-6. Pacific Northwest Geometry Semi- INFORMATION: A. Zeller-Meier, CIRM, CHAIRMEN: C. Sabbath, Palaiseau; D. nar, University of Oregon, Eugene, OR. Luminy, Case 916, F-13288 Marseille Barlet, Nancy. Cedex 9. INFORMATION: A. Zeller-Meier, CIRM, INVITED SPEAKERS: J. Dupont, C. Luminy, Case 916, F-13288 Marseille Gordon, L. Simon, W. Thurston. 7-June 1. College on Recent Develop Cedex 9. INFORMATION: P. Gilkey ments and Applications in Mathematics ([email protected]) or and Computer Science, International Cen 17-19. Interface '90 (formerly Computer J. Leahy. tre for Theoretical Physics, Trieste, Italy. Science and Statistics: Symposium on In (MayfJun. 1989, p. 601) terface), East Lansing, MI. (Sep. 1989, 6-9. Computer Algebra and Differential Algebra and Parallelism p. 916) Equations (CADE-90), Cornell Univer 9-12. Computer Ithaca, NY. 17-19. Colloquium: Computer Graphics sity, Ithaca, NY. (Dec. 1989, p. 1435) (CAP-90), Cornell University, (Dec. 1989, p. 1435) in Pure Mathematics, University of Iowa, 6-12. Geschichte der Mathematik, Ober Konvexe Analysis, Iowa City, lA. (Dec. 1989, p. 1435) wolfach, Federal Republic of Germany. 13-19. Abstrakte Republic of Ger * 20-25. NSF /CBMS Conference on Op (Jul./ Aug. 1989, p. 766) Oberwolfach, Federal many. (Jul./ Aug. 1989, p. 766) erator Algebras, Texas Christian Univer 7-9. 1990 IEEE Symposium on Research on Nonlinear sity, Fort Worth, TX. in Security and Privacy, Oakland, CA. * 14-15. Regional Workshop Stony Brook, NY. (Oct. 1989, p. l 095) Conservation Laws, PROGRAM: P.S. Muhly will present under the ti 7-10. SIAM Conference on Applications PuRPOSE: The workshop is the first a series of ten lectures of Dynamical Systems, Orlando, FL. (Sep. of a series concerning the theory, tle: "Coordinates in Operator Algebra: 1989, p. 916) computation, and engineering appli Groupoids and Categories, their Rep resentations and Applications". Addi 7-11. Recent Advances in Regression, cations of nonlinear systems of par * tional lectures will be presented by Montreal, Canada. tial differential equations representing conservation laws. participants as time permits. ORGANIZING COMMITTEE: M. Bilo PROGRAM: The workshop will consist ORGANIZER: R.S. Doran. deau, G. Ducharme, C. Leger, Y. of one-hour invited lectures describ INVITED SPEAKER: P.S. Muhly. Lepage, S. Tardif, Y. Yatracos (Coor ing current research of broad interest. INFORMATION: R.S. Doran, Dept. of dinator). INVITED SPEAKERS: T.-P. Liu, C.F. Mathematics, Texas Christian Uni INVITED SPEAKERS: L. Brown, Cornell Palmeira. versity, Fort Worth, TX 76129; 817- Univ.; R.D. Cook, Univ. of Min CALL FOR PAPERS: To give a short 921-7335. nesota; C.E. Sarndal, Univ. of Mon the organizers and talk, please contact 20-26. The Schriidinger Equation and treal; R. Carroll, Texas A&M Univ.; send a summary before February 28, K.-C. Li, U.C.L.A.; S. Weisberg, Univ. Its Classical Counterparts, Oberwolfach, 1990. Federal Republic of Germany. (Jul./ Aug. of Minnesota. J. Glimm, D. March INFORMATION: 1989, p. 767) CONFERENCE TOPICS: Nonparametric esin, B. Plohr, Dept. of Applied Math. Simulation of Random Pro regression, diagnostics: influence and and Stat., State University of New 21-24. The Fields - Mathematics and dynamic graphics, slicing inverse re York at Stony Brook, Stony Brook, cesses and Portofino, Italy. (Sep. 1989, gression, generalized nonlinear mea NY 11794-3600; 516-632-8552; email: Applications, 916) surement error models, regression es [email protected]. p. timators and regression analysis in * 21-25. NSF-CBMS Regional Confer survey sampling. 14-18. Conference on Nonlinear Anal ence on The Interface between Analytic CALL FOR PAPERS: Papers can be pre ysis and Partial Differential Equations, Number Theory and Harmonic Analysis, sented in either of two formats: a 15 Rutgers University, New Brunswick, NJ. Manhattan, KS. minute talk or a poster presentation. (Jul./ Aug. 1989, p. 767) PROGRAM: H. Montgomery will de Deadline for submission for titles, ab on K-Theory, Mathe * 14-18. Workshop liver ten lectures discussing the recent stracts (between 100 and 200 words) Institute, Berke matical Sciences Research research in topics pertaining to the and financial assistance is February ley, CA. conference title. The lectures will be 15, 1990. (Specify 15 minute talks or This is the last of three accessible to both analysts and num presentation.) PROGRAM: planned as part of MSRI's ber theorists. INFORMATION: S. Chenevert, CRM, workshops 1989-1990 program on Al INVITED SPEAKERS: H.L. Montgomery, Universite de Montreal, C.P. 6128- yearlong and its applications. (Principle Lecturer), J. Beck, P.X. A, Montreal, (Quebec), Canada, H3C gebraic Topology W.-C. Hsiang, J.D.S. Gallagher, H. lwaniec, T.W. Korner, 317, 514-343-7501, Fax: 514-343- ORGANIZERS: J.-F. Mela, I.Z. Ruzsa, G. Tenenbaum, 2254, email: [email protected]. Jones. INFORMATION: I. Kaplansky, Direc R.C. Vaughan. * 7-1 l. Algorithme et Programmation, tor, Mathematical Sciences Research INFORMATION: T. Cochrane or R.E. Marseille, France. Institute, l 000 Centennial Drive, Berke Dressler, Dept. of Mathematics, ley, CA 94720. Kansas State University, Manhattan, CHAIRMAN: D. Monasse, Paris. KS 66506, 913-532-6750; email: * 14-18. Singularities et Theorie de Hodge, [email protected]. Marseille, France.
JANUARY 1990, VOLUME 37, NUMBER 1 55 Meetings and Conferences
21-25. Eleventh United States National INFORMATION: INRIA, Service des 3-6. 1990 Annual Meeting of the Sta Congress of Applied Mechanics, Tucson, Relations Exterieures, B.P. 105, F- tistical Society of Canada, St. John's, AZ. (Nov. 1988, p. 1389) 7 815 3 Le Chesnay cedex. Newfoundland, Canada. (Sep. 1989, * 21-25. Nonlinear Analysis, Function p. 917) * 28-June I. Mecanique Celeste et Sys- Spaces and Applications IV, Czechoslo * 3-6. Symposium on Chaos in Biolog temes Hamiltoniens, Marseille, France. vakia. ical and Agricultural Systems, Lincoln, CHAIRMEN: A. Chenciner, Paris; M. Nebraska. INVITED SPEAKERS: J. Garcia-Cuerva, Herman, Paris. Madrid; H.P. Heinig, Hamilton; V. PROGRAM: This will be a symposium INFORMATION: A. Zeller-Meier, CIRM, Mustonen, Oulu; G.F. Roach, Glas to help define statistical approaches Luminy, Case 916, F-13288 Marseille gow; A. Torchinsky, Bloomington; S.K. to biological systems with chaotic be Cedex 9. Vodopyanov, Novosibirsk. havior. The purpose is to provide a INFORMATION: Math. Inst. Czech. 28-June 2. Geometry of Complex Projec forum to discuss the implications of Acad. Sci., Zitna 25, 115 67 Praha I, tive Varieties, Cetraro, Italy. (Nov. 1989, nonlinear dynamics to current sta Czechoslovakia. p. 1250) tistical approaches and to encourage 29-30. Algebraic Logic Conference in innovative statistical applications. 23-25. 1990 International Symposium INVITED SPEAKERS: J.G. Milton, W.M. on Multiple-Valued Logic, Charlotte, NC. Honour of Professor Don Monk, Boulder, Colorado. (Nov. 1989, p. 1250) Schaffer. (Apr. 1989, p. 496) CALL FOR PAPERS: The conference 24-25. Twelfth Symposium on Mathe * 29-31. GAMM/IFIP Workshop: "Sto will be open to talks or poster ses matical Programming with Data Perturba chastic Optimization: Numerical Methods sions made by scientists on statistical tions, George Washington Univ., Wash and Technical Applications", Neubiberg, issues in the new science of Chaos. ington, DC. (Nov. 1989, p. 1250) Federal Republic of Germany. Presentation of contributed papers * 24-26. Conference on Probability Mod ORGANIZER: K. Marti, UniBw will be restricted to twenty minutes els in Mathematical Physics, Colorado Miinchen. with equal time allotted for discus Springs, CO. INFORMATION: K. Marti, Univ. der sion. Please submit a one-page single Bundeswehr, Miinchen, Werner spaced abstract. Submissions should CONFERENCE TOPICS: Rigorous renor Heisenberg-Weg 39, D-80 14 Neubiberg. be postmarked no later than March malization ideas, including self avoid 15, 1990. ing randon walk and percolation, as 29-June I. Eleventh Annual Conference INFORMATION: A. Parkhurst, Biom well as ideas in functional integration, of the Canadian Applied Mathematics etry Dept., 103 Miller Hall, Uni random fields, and stochastic geome Society, Halifax, Nova Scotia. (Oct. 1989, versity of Nebraska-Lincoln, Lincoln, try. p. 1096) Nebraska 68583-0712; 402-472-2903. INVITED SPEAKERS: M. Aizenman, K. 29-June 2. Dynamical Theories of Turbu Alexander, R. Durrett, E. Getzler, L. lence in Fluid Flows, Minneapolis, MN. 3-9. Graphentheorie, Oberwolfach, Fed Gross, T. Hara, J. Imbrie, A. Kupi (Nov. 1989, p. 1250) eral Republic of Germany. (Jul./Aug. ainen, G. Lawler, C. Newman. 1989, p. 767) 29-June 2. Workshop on Dynamical Sys INFORMATION: G.J. Morrow, Dept. of tems in Fluid Mechanics, Minneapolis, 4-7. Fifth Annual IEEE Symposium on Mathematics, Univ. of Colorado at MN. (Nov. 1989, p. 1251) Logic in Computer Science, Philadelphia, Colorado Springs, Colorado Springs, PA. (Sep. 1989, p. 917) CO 80933; email: 30-31. Conference on Algebraic Logic, Boulder, Colorado. (Dec. 1989, p. 1436) 4-8. Workshop on Model Theory, Berke gj morrow@colospgs. bitnet. ley, CA. (Sep. 1989, p. 917) 31-June 3. Percolation Models of Ma 25-31. Tenth International Conference terial Failure, Cornell University, Ithaca, 4-8. Nonlinear Phenomena in Atmo on Pattern Recognition, Resorts Hotel, NY. (Dec. 1989, p. 1436) spheric and Oceanic Sciences, Minneapo Atlantic City, NJ. (Mar. 1988, p. 466) lis, MN. (Nov. 1989, p. 1251) 27-June 2. Lyapunov-Exponents, Ober 4-8. International Conference on Approx wolfach, Federal Republic of Germany. June 1990 imation Interpolation and Summability in (Jul./ Aug. 19 89, p. 767) June/July 1990. International IMACS Honor of A. Jakimovski, Tel Aviv, Israel. * 28-June I. Twenty-second Annual Con- Conference on Mathematical Modelling (Dec. 1989, p. 1436) ference on Statistics, Tours, France. and Applied Mathematics, Vilnius, USSR. * 4-8. International Conference on Boot (Sep. 1989, p. 917) strapping and Related Techniques, Trier, INFORMATION: J.-P. Asselin de Beau Federal Republic of Germany. ville, Laboratoire d'informatique, Fac. 1-8. Third International Symposium on des sciences et techniques, Pare de Orthogonal Polynomials and Their Ap INFORMATION: W. Sendler, Univ. Grandmont, F-37200 Tours. plications, Erice-Trapani (Sicily), Italy. Trier, FB IV , Mathematik, Postfach (Dec. 1989, p. 1436) 3825, D-5500 Trier. * 28-June I. Tenth International Confer 1-10. Fourth Annual Meeting of the ence on Distributed Computing Systems, International Workshop in Analysis and * 4-15. Analyse Harmonique sur Les Paris, France. its Applications, Dubrovnik-Kupari, Yu Groupes Reductifs P-Adiques, Marseille, goslavia. (Oct. 1989, p. 1096) France.
56 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Meetings and Conferences
CHAIRMEN: G. Henniart, Paris; P. plied and computational aspects of 13-15. Seventh Annual Quality and Pro Kutzko, Iowa; J.-P. Labesse, Paris. hyperbolic partial differential equa ductivity Research Conference, Madison, INFORMATION: A. Zeller-Meier, CIRM, tions. WI. (Mar. 1989, p. 315) Luminy, Case 916, F-13288 Marseille ORGANIZING COMMITTEE: B. Engquist, 13-22. Free Boundary Problems: Theory Cedex 9. B. Gustafsson. and Applications, Centre de Recherches CALL FOR PAPERS: Abstracts for pre Mathematiques, Universite de Montreal, * 6-8. First IFIP Conference on Fractals, sentations at the conference are in Canada. (Jul./ Aug. 1989, p. 767) Lisbon, Portugal. vited. The abstract should be at least 14-16. Fifth Southeast Asian Conference CHAIRMAN: B. Mandelbrot. one full page and at most three pages. on Mathematical Education (SEACME ORGANIZER: L.F. Penedo. The presentation is expected to be 5), Gadong, Brunei Darussalam. (Nov. INFORMATioN: Portuguese Computer twenty minutes. The deadline for the 1989, p. 1251) abstracts is February 1, 1990. Society (API), Av. Almirante Reis * 15-20. Global Differential Geometry and I, II 00 Lisbon, Portugal. 172, I 1-1 5. Rigorous Results in Quantum Dy Global Analysis, Berlin, Federal Republic of Germany. 6-9. Fifth Annual Conference of the namics, Liblice Castle, Czechoslovakia. European Consortium for Mathematics (May/Jun. 1989, p. 602) ORGANIZERS: D. Ferus, U. Pinkall, U. in Industry, Lahti, Finland. (Apr. 1989, 11-15. NSF/CBMS Conference on Simon, B. Wegner. p. 496) Wavelets, University of Lowell, Lowell, INFORMATION: D. Ferus, Techn. Univ. 6-12. 1990 Barcelona Conference on MA. (Nov. 1989, p. 1251) Berlin, FB 3-Mathematik, StraBe des Algebraic Topology, Centre de Recerca * 11-15. IMACS First International Con 17. Juni 136, D-1 000 Berlin 12. Matematica, Barcelona, Spain. (Sept. ference on Computational Physics, Boul 17-23. Partial Differential Equations in 1988, p. 1060) der, CO. Complex Analysis, Oberwolfach, Federal 6-15. Third Logical Biennial (in honour CALL FOR PAPERS: Contributions in Republic of Germany. (Jul./ Aug. 1989, of S.C. Kleene), Chaika (near Varna), all areas of computational physics are p. 767) Bulgaria. (Oct. 1989, p. I 096) welcomed. Approximately I 0 plenary 18-20. Joint WNAR-IMS Regional Meet 7-July 4. 1990 Joint Summer Research lectures are planned. Special sessions ing, Montana State University, Bozeman, Conferences in the Mathematical Sci of 5 contributions each, invited by MT. (Mar. 1989, p. 315) ences, University of Massachusetts at organizers, will be encouraged. session 18-22. Fourteenth Mathematical Sci Amherst, MA. contributed paper sessions Individual ences Lecture Series on Partially Ordered will be arranged. Proceedings will be INFORMATION: C. Kohan ski, AMS, Sets, Johns Hopkins University, Balti given to all attendees at the con P.O. Box 6248, Providence, RI 02940. more, Maryland. (Oct. 1989, p. 1096) ference. Interested contributors are * 18-22. Approximations Diophantiennes I 0-16. Reelle Algebraische Geometrie, invited to submit a preliminary man et Nombres Transcendants, Marseille, Oberwolfach, Federal Republic of Ger uscript or extended abstract as soon France. many. (Jul./ Aug. 1989, p. 767) as possible. I 0-16. Fourth Czechoslovak Symposium INFORMATION: For scientific program: CHAIRMAN: P. Philippon, Paris. on Combinatorics, Prachtice, Czechoslo K. Gustafson, Chair, IMACS, Com INFORMATION: A. Zeller-Meier, CIRM, vakia. (Nov. 1989, p. 1251) putational Physics, c/o D. Ramsey, Luminy, Case 916, F-13288 Marseille Scientific Secretary, University of Col 11-14. Fourteenth Rolf Nevanlinna Col Cedex 9. orado, Boulder, CO 80309-0425; loquium, University of Helsinki, Helsinki, email: [email protected]. 18-29. Radar/Sonar, Minneapolis, MN. Finland. (Jul./ Aug. 1989, p. 767) For Registration materials, housing (Nov. 1989, p. 1251) 11-14. World Organization of Systems info., and other matters: D. Cook, * 18-29. AMS-SIAM Summer Seminar on and Cybernetics Eighth International Con IMACS Conference Secretary, Uni Vortex Dynamics and Vortex Methods, gress, New York, NY. (Mar. 1989, p. 315) versity of Colorado, Office of Con University of Washington, Seattle, WA. 11-14. Fifth SIAM Conference on Dis ference Services, Boulder, CO 80309- INFORMATION: B. Verducci, AMS, P.O. crete Mathematics, Atlanta, GA. (Sep. 0454; Fax: 303-492-5959, phone: 303- Box 6248, Providence, RI 02940. 1989, p. 917) 492-5151. 11-15. Chaotic Processes in the Geolog * 20-22. Sixteenth International Workshop 12-15. Ninth International Conference ical Sciences, Minneapolis, MN. (Nov. * on Graph-Theoretic Concepts in Computer on Analysis and Optimization of Systems, 1989, p 1251) Science, Berlin, Federal Republic of Ger Antibes, France. * 11-15. Third International Conference many. Problems, Uppsala, Swe INFORMATION: INRIA, Sevice des Re on Hyperbolic INFORMATION: R.H. Mohring, FB3, (Please note changes from Jul./ Aug. lations Exterieures, Domaine de den. MA 6-1, Tech. Univ. Berlin, StraBe p. 767) Voluceau-Rocquencourt-B.P. 105, F- 1989, des 17. Juni 136, D-1 000 Berlin 12. 78153 Le Chesnay cedex. PURPOSE: The objective of the confer der ence is to bring together researchers 24-30. Mathematiscbe Probleme in with interest in the theoretical, ap- Nichtlinearen Elastizitat, Oberwolfach,
JANUARY 1990, VOLUME 37, NUMBER 1 57 Meetings and Conferences
Federal Republic of Germany. (Jul./ Aug. * 2-6. Fifteenth International Biometric * 16-20. Symposium Fraisse, Marseille, 1989, p. 767) Conference, Budapest, Hungary. France. 25-29. International Symposium on INFORMATION: Fifteenth IBC Secre CHAIRMAN: R. Bonnet, Marseille. Fuzzy Approach to Reasoning and Deci tariat, E. S6s, Computer and Automa INFORMATION: A. Zeller-Meier, CIRM, sion tion Institute, Hungarian Academy of Luminy, Case 916, F-13288 Marseille Making, Bochyne, Czechoslovakia. (Oct. Sciences, P.O. Box 63, H-1502 Bu Cedex 9. 1989,p.1096) dapest. * 25-29. Logique et Informatique, Mar- 22-28. Konvexgeometrie, Oberwolfach, seille, France. * 2-7. Groupes Ordonnes et Groupes de Federal Republic of Germany. (Apr. Permutation, Marseille, France. 1989, p. 497) CHAIRMAN: G. Blanc, Marseille. * 23-28. Fourth International Congress on INFORMATION: A. Zeller-Meier, CIRM, CHAIRMAN: M. Giraudet, Mans. Computational and Applied Mathematics, Luminy, Case 916, F-13288 Marseille INFORMATION: A. Zeller-Meier, CIRM, Leuven, Belgium. Cedex 9. Luminy, Case 916, F-13288 Marseille Cedex 9. INFORMATION: R. Piessens, K.U.L., 25-July 13. SMS-NATO ASI: Shape Dept. Computer Science, Celestijnen 2-31. Time Series, Minneapolis, MN: Optimization and Free Boundaries, Uni laan 200 A, B-3030 Heverlee. versite de Montreal, Montreal, Canada. (Nov. 1989, p. 1252) (Dec. 1989, p. 1437) 3-6. Eleventh Dundee Conference on Or 26-29. International Conference on New * 27-29. ACM Conference on Lisp and dinary and Partial Differential Equations, Trends in Geometric Function Theory Functional Programming, Nice, France. Dundee, Scotland. (Sep. 1989, p. 918) and Applications, University of Madras, 6-7. International Colloquium on Appli Madras, India. (Sep. 1989, p. 918) INFORMATION: Th. Bricheteau, INRIA cations of Mathematics (on the occasion 29-August 4. Mechanik Und Algebrais Roquencourt, B.P. 105, F-78153 Le of the 80th birthday of Lothar Collatz), che Geometrie, Oberwolfach, Federal Re Chesnay cedex. Hamburg, West Germany. (Nov. 1989, public of Germany. (Apr. 1989, p. 497) 27-30. Fourth International Congress p. 1252) 30-August 4. The Fourth International on Algebraic Hyperstructures and Ap 8-14. Variationsrechnung, Oberwolfach, Conference on Fibonacci Numbers and plications, Xanthi, Greece. (Apr. 1989, Federal Republic of Germany. (Apr. their Applications, Wake Forest Univer p. 496) 1989, p. 497) sity, Winston Salem, NC. (Nov. 1989, 9-11. "Universita'di Genova - The Ohio p. 1252) State University Joint Conference" on 31-August 2. Dynamics of Numerics July 1990 New Trends in Systems Theory, Genoa, and the Numerics of Dynamics, Bristol, July 1990. AMS Summer Research Insti Italy. (Jul./ Aug. 1989, p. 768) England. (Nov. 1989, p. 1252) tute on Differential Geometry, University * 9-'14. 4eme Colloque International de of California, Los Angeles, CA. et de Combinatoire, Theorie des Graphes August 1990 INFORMATION: W. Drady, AMS, P.O. Marseille-Luminy, C.I.R.M., France. 5-9. From Topology to Computation: Box 6248, Providence, RI 02940. ORGANIZERS: C. Berge, D. Bresson. * Unity and Diversity in the Mathematical INFORMATION: C.A.M.S.-M.S.H. Bu Modulfunktionen In Mehreren Vari Sciences (in Honor of Professor Stephen 1-7. reau 226, 54 Bd. Raspail, F-75006 ablen, Oberwolfach, Federal Republic of Smale's 60th Birthday), Berkeley, CA. Paris. Germany. (Apr. 1989, p. 497) PuRPOsE: To present recent devel 1-15. International Symposium on Alge 9-20. Geometry and Topology of Four opments in the fields of Professor braic Topology- Adams Memorial Sympo Manifolds, McMaster University, Hamil Smale's research, and to explore the sium, University of Manchester, England. ton, Ontario, Canada. (MayfJun. 1989, connections between them. (Sep. 1989, p. 918) p. 602) PROGRAM: For each topic there will 1-18. Twentieth Summer Session on 15-21. Stochastic Image Models and Al be one talk summarizing its histori Probability Theory, Saint-Flour (Cantal), gorithms, Oberwolfach, Federal Republic cal setting and giving an overview of France. (Mar. 1989, p. 315) of Germany. (Apr. 1989, p. 497) current research, followed by several 2-6. Tenth Australian Statistical Con 15-22. 1990 European Summer Meet talks on recent developments. In addi ference/Second Pacific Statistical Con ing (Logic Colloquium '90), University of tion there will be discussion sessions, gress, Sydney, Australia. (Jul./Aug. 1989, Helsinki, Finland. (Nov. 1989, p. 1252) and general talks on Professor Smale's p. 768) 15-23. Colloquium in Honor of Roland career. 2-6. The Jonsson Symposium, Laugar Fraisse, Centre International de Recon CONFERENCE ToPics: Differential to vatn, Iceland. (Sep. 1989, p. 918) tres Mathematiques, Luminy, France. pology, mathematical economics, dy namical systems, theory of compu 2-6. Thirty-fourth Annual Meeting of the (MayfJun. 1989, p. 602) tation, nonlinear functional analysis, Australian Mathematical .Society, Towns 16-20. SIAM Annual Meeting,, Chicago, biological applications. ville, Queensland, Australia. (Oct. 1989, IL. (Nov. 1988, p. 1389) physical and COMMITTEE: G. Debreu, p. 1097) ORGANIZING N. Kopell, J. Palis, A. Tromba, M.W.
58 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Meetings and Conferences
Hirsch (Chair), J. Marsden, M. Shub, 13-1 7. 1990 International Conference on 28-30. IMACS European Simulation A. Weinstein. Parallel Processing, Pennsylvania State Meeting on Problem Solving by Simula INVITED SPEAKERS: L. Blum, R. Bott, University, University Park, PA. (Dec. tion, Esztergom, Hungary. (Mar. 1989, R.G. Chew, G. Debreu, A.T. Fomenko, 1989, p. 1438) p. 316) J. Franks, M. Gromov, M.W. Hirsch, 13-18. Institute of Mathematical Statis 28-31. Operations Research 1990, Inter F. Hirzebruch, P. Holmes, J. Kelley, tics Fifty-third Annual Meeting(jointly national Conference Operations Research, N. Kopell, S. Lang, J. Marsden, A. with the Second World Congress of the Vienna, Austria. (Jul./ Aug. 1989, p. 768) Mas-Collel, C. McMullen, R.S. Palais, Bernoulli Society), Uppsala, Sweden. (Sep. 30-September 4. International Confer J. Palis, M. Peixoto, P. Rabinowitz, 1989, p. 919) ence on Potential Theory, Nagoya, Japan. J. Renegar, S. Sastry, M. Shub, D. 13-18. Tsukuba International Confer (May/Jun. 1989, p. 602) Sullivan, F. Takens, R. Thorn, A. ence on Representations of Algebras and Tromba, K. Uhlenbeck, V.A. Vasiliev, Related Topics, University of Tsukuba, L. Young, E.C. Zeeman. Japan. (Nov. 1989, p. 1253) September 1990 INFORMATION: D. Craig, Mathemat 14-1 8. The Asian Mathematical Con September;october 1990. IMACS ics Department, University of Cali ference 1990, Hong Kong, China. (Sep. GAMM Conference on Computer Arith fornia, Berkeley, CA 94720; email: 1989, p. 919) metic, Scientific Computation and [email protected]. 15-1 9. International Conference on Knot Mathematical Modelling, Bulgaria. (Sep. 5-11. Mathematical Methods in Tomog Theory and Related Topics, International 1989, p. 919) raphy, Oberwolfach, Federal Republic of House, Osaka, Japan. (Apr. 1989, p. 497) IMACS Symposium on Modelling and Germany. (Apr. 1989, p. 497) 15-20. Conference on Gaussian Random Simulation of Electrical Machines, EN 5-11. International Conference on Ap Fields (The Third Nagoya Levy Seminar), SEM - Nancy, France. (May/ Jun. 1989, proximation Theory, Hungary. (Oct. 1989, Nagoya University, Nagoya, Japan. (Nov. p. 602) p. 1097) 1989, p. 1253) 2-7. Twelfth International Conference on 6-7. AMS Short Course on Combinato 16-18. SIGAL International Symposium Nonlinear Oscillations, Cracow, Poland. rial Games, Columbus, Ohio. on Algorithms, Tokyo, Japan. (Oct. 1989, (Sep. 1989, p. 919) p. 1097) 2-7. International Conference on Integral AMS, P.O. INFORMATION: M. Foulkes, Equations and Boundary Value Problems, Box 6248, Providence, RI 02940. 19-25. Mathematische Methoden Des VLSI-Entwurfs Und Des Distributed Com Yantai University, Shandong, People's 6-9. 1990 Joint Statistical Meetings, putings, Oberwolfach, Federal Republic Republic of China. (Nov. 1989, p. 1253) Anaheim, CA. (Mar. 1988, p. 466) of Germany. (Apr. 1989, p. 497) 2-8. Topologie, Oberwolfach, Federal 8-11. Joint Mathematics Meetings, Ohio * 20-25. Fifth Conference on Numerical Republic of Germany. (Apr. 1989, p. 497) State University, Columbus, OH. (includ Methods, Miskolc, Hungary. 3-6. Fourth Asian Logic Conference, ing the summer meetings of the AMS, Tokyo, Japan. (Mar. 1989, p. 316) ORGANIZERs: P. R6sza, K. Balla, Z. AWM, MAA and PME). This is the 75th Szarka, A. Lee, I. Farago, G. Stoyan. 3-7. IMACS Symposium on Intelligent Anniversary of the MAA. INFORMATION: K. Balla, Janos Bolyai Models in Systems Simulation, Brussels, (Mar. 1989, p. 316) INFORMATION: H. Daly, AMS, P.O. Math. Society, Pf. 240, H-1368 Bu Belgium. Box 6248, Providence, RI 02940. dapest. 3-7. Representation des Groupes et Anal yse Complexe, Marseille, France. 12-18. Algebraische Zahlentheorie, Ober 21-29. The International Congress of (Jul./ Aug. 1989, p. 768) wolfach, Federal Republic of Germany. Mathematicians 1990, Kyoto, Japan. 8-12. Neuronet-90: IMACS International (Apr. 1989, p. 497) (Nov. 1988, p. 1389) Symposium on Neural Nets and Neu 12-18. Pre-Congress Topology Confer 23-September l. Twenty-eigth Interna ral Computers, Prague, Czechoslovakia. ence, University of Hawaii, Honolulu, tional Symposium on Functional Equa (Please note change from May/ Jun. 1989, HI. (Feb. 1989, p. 183) tions, Graz-Mariatrost, Austria. (Dec. p. 602) 13-16. Alaska Conference, Quo Vadis, 1989, p. 1438) 9-15. Surgery and L-Theory, Oberwol Graph Theory?, University of Alaska, 26-September I. Komplexe Analysis, fach, Federal Republic of Germany. (Apr. Fairbanks, AK. (Oct. 1989, p. 1097) Oberwolfach, Federal Republic of Ger 1989, p. 498) 13-1 7. Fifth International Conference many. (Apr. 1989, p. 497) * 10-12. Second International Workshop on Hadronic Mechanics and Nonpoten * 27-31. Eleventh Prague Conference on on Advances in Robot Kinematics, Linz, tial Interactions, University of Northern Information Theory, Statistical Decision Australia. Iowa, Cedar Falls, Iowa. (Jul./ Aug. 1989, Functions and Random Processes, Praha, RISC-LINZ, Research p. 768) Czechoslovakia. INFORMATION: Institute for Symbolic Computation, 13-17. Eleventh IFAC World Congress, INFORMATION: 11th Prague Confer Johannes Kepler University, A-4040 1989, p. 918) Tallin, USSR. (Sep. ence, UTI A CSA V, Pod vodarenskou Linz. 13-1 7. Algebraic Geometry and Ana vezi 4, 182 08 Praha 8, Czechoslo lytic Geometry, Tokyo, Japan. (Sep. 1989, vakia. p. 919)
JANUARY 1990, VOLUME 37, NUMBER 1 59 Meetings and Conferences
10-14. Mathematiker-Kongress, Dres * 24-28. Structure Galoisienne Arithme- INFORMATION: A. Zeller-Meier, CIRM, den, German Democratic Republic. tique, Marseille, France. Luminy, Case 916, F-13288 Marseille (Jul./ Aug. 1989, p. 769) Cedex 9. CHAIRMAN: P. Cassou-Nogues, Bor * I 0-14. Greco Calcul Formel, Marseille, deaux. 14-20. Geometrie, Oberwolfach, Fed France. INFORMATION: A. Zeller-Meier, CIRM, eral Republic of Germany. (Apr. 1989, CHAIRMAN: M. Giusti, Palaiseau. Luminy, Case 916, F-13288 Marseille p. 498) INFORMATION: A. Zeller-Meier, CIRM, Cedex 9. * 15-19. Modeles pour L'Analyse des Don Luminy, Case 916, F-13288 Marseille 30-0ctober 6. Diophantische Approxi nees Multidimensionnelles, Marseille, Cedex 9. mationen, Oberwolfach, Federal Republic France. 10-0ctober 5. School on Qualitative of Germany. (Apr. 1989, p. 498) CHAIRMEN: J.-J. Droesbeke, Bruxelles; Aspects and Applications of Nonlinear P. Tassi, Paris; B. Fichet, Marseille. Evolution Equations, International Centre INFORMATION: A. Zeller-Meier, CIRM, October 1990 for Theoretical Physics, Trieste, Italy. Luminy, Case 916, F-13288 Marseille (MayfJun. 1989, p. 602) * 1-5. Organisations et Theorie des Jeux, Cedex 9. 16-22. Risikotheorie, Oberwolfach, Fed Marseille, France. 21-27. Mathematische Methoden In Der eral Republic of Germany. (Apr. 1989, CHAIRMAN: L.-A. Gerard-Varet, Mar Robotik, Oberwolfach, Federal Republic p. 498) seille, France. of Germany. (Apr. 1989, p. 498) * 17-21. Atelier International de Theorie INFORMATION: A. Zeller-Meier, CIRM, 21-27. Arithmetik der Korper, Oberwol des Ensembles, Marseille, France. Luminy, Case 916, F-13288 Marseille fach, Federal Republic of Germany. (Oct. CHAIRMAN: P. Dehornoy, Caen. Cedex 9. 1989,p.1098) INFORMATION: A. Zeller-Meier, CIRM, *5-6. Math-History Conference, LaCrosse, 21-27. International Functional Analysis Luminy, Case 916, F-13288 Marseille WI. Meeting on the Occasion of the Sixti Cedex 9. eth Birthday of Professor M. Valdivia, PuRPOSE: This conference is the third Peftiscola, Spain. (Oct. 1989, p. 1098) 17-22. DMV-Jahrestagung 1990, Bre of a biennial series. It features two * 22-25. Fifth Jerusalem Conference on In men, Federal Republic of Germany. tracks for contributed papers. One formation Technology (JCIT-5), Jerusalem, (Jul./ Aug. 1989, p. 769) will be for original research in Math Israel. 23-29. Random Graphs and Combinator History and the other will be for ical Structures, Oberwolfach, Federal Re papers of an expository and/or ed SPONSORs: Information Processing As public of Germany. (Apr. 1989, p. 498) ucational nature. The length of pre sociation of Israel, Society for Infor * 24-28. International Symposium on sentation should not exceed 30 min mation Management, and the IEEE Mathematical Theories, San Sebastian, utes. Abstracts should be submitted Computer Society. Spain. (Please note changes from Jul./ Aug. by April 15, and be 200 words or less. PROGRAM: The Fifth JCIT is an inter 1989, p. 769) Submit abstracts to address below. national, interdisciplinary conference ORGANIZERS: I. Anellis, Io:wa State whose goals are to provide a forum ORGANIZING COMMITTEE: J. Echev Univ.; D.E. Cameron, Univ. of Akron; for the presentation of achievements erria, J. Ezquerro, D. Gillies, A. Ibarra, C.V. Jones, Ball State Univ.; J.D. and innovative ideas in all areas of M. Kuokkanen, J. de Lorenzo, M.S. Wine, Univ. of Wisconsin-LaCrosse information technology. The confer de Mora, T. Mormann, J. Peiffer, J. (chair). ence will cover a broad range of top Pia, A. Vera, Y. Yurramendi. INVITED SPEAKERS: H. Pycior, Univ. ics in computer technology and ap CONFERENCE TOPICS: Mathematical of Wisconsin-Milwaukee; C. Duffy, plications, and will also explore the theories and empirical theories, ap Massachusetts Maritime Academy; I. economics and management of the plications of mathematical theories, Anellis, Iowa State Univ. information industry. It will provide history and sociology of mathemati INFORMATION: J.D. Wine, Depart an interdisciplinary environment for cal theories, methods of research into ment of Mathematics, University of computer scientists, engineers, users mathematics, structures of mathemat Wisconsin-LaCrosse, LaCrosse, WI and managers to exchange views and ical theories. 5460 I; 608-785-8393. ideas, and discuss their likely impact CALL FOR PAPERs: Submission of Ab on the information systems of the stracts (Max. 400 words): January 7-13. Arbeitsgemeinschaft Mit Aktuellem next decade. The official language of 30, 1990. Notification of acceptance: Thema, Oberwolfach, Federal Republic the conference is English. March I, 1990. Submission of papers of Germany. (Apr. 1989, p. 498) CONFERENCE TOPICS: Computational (Max. 200 words): April 30, 1990. * 8-12. Congres Franco-Sovietique de Pro complexity, cryptography, program All abstracts should be sent in tripli grammation Mathematique, Marseille, logic and verification, reasoning about cate to J. Echeverria, SSMT-90, Dept. France. knowledge, artificial intelligence, nat de L6gica y Filosofia de Ia Ciencia ural language processing, computer (UPV /EHU), Apdo. 1249, 20080 San CHAIRMAN: A. Auslender, Clermont Ferrand. architecture and design, special pur Sebastian (Spain). pose computers, operating systems,
60 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Meetings and Conferences
distributed and parallel systems, net INFORMATION: W. Drady, AMS, P.O. INVITED SPEAKERs: Japan: H. Ikeda, works and communications, reliabil Box 6248, Providence, RI 02940. N. Kawano, T. Kusano, H. Matano, ity and performance, software engi M. Mimura, Y. Nishiura, M. Ot~ni, neering, data bases, knowledge bases, 4-10. WahrscheinlichkeitsmaBe auf Grup S. Sakaguti, T. Suzuki, I. Takagi, Y. programming languages, computer as pen, Oberwolfach, Federal Republic of Yamada, S. Yotsutani, E. Yanagida. sisted instruction, computer graphics, Germany. (Oct. 1989, p. 1098) Taiwan: J .H. Cheng, K.S. Cheng, S.B. computer aided design and manu 5-7. Second SIAM Confernce on Linear Hsu, J. Juang, J.E. Lee, J.H. Lee, C.S. facturing, robotics, vision, computers Algebra in Signals, Systems & Controls, Lin, S.S. Lin, T.P. Liu, W.M. Ni, in medicine, office automation, inno San Francisco, CA. (Sep. 1989, p. 920) S.J. Sheu, S.M. Shih, L.Y. Tsai, C.A. vative applications, and management 12-16. Supercomputing '90, New York, Wang, S.H. Wang. and economic issues. NY. (Sep. 1989, p. 920) INFORMATION: S.B. Hsu, Institute of CALL FOR PAPERs: Three (3) copies * 12-16. Workshop on Representations Applied Mathematics, National Ts of a full paper should be submitted of Reductive Groups over Finite Fields, ing Hua University, Hsinchu, Tai by February 15, 1990 to one of the Mathematical Sciences Research Insti wan, or, S.S. Lin, Department of Ap Program Chairpersons. Authors will tute, Berkeley, CA. plied Mathematics, National Chiao be notified of acceptance or rejection Tung University, Hsinchu, Taiwan, by April 15, 1990. Accepted papers PROGRAM: This is the first of two or, T. Kusano or M. Mimura, De typed on special camera-ready forms workshops planned as part of MSRI's partment of Mathematics, Hiroshima for inclusion in the Conference pro program on Representations of Finite University, Hiroshima, Japan. ceedings will be due June 15, 1990. Groups (Fall 1990). INFORMATION: J.M. Adams Jr., Di ORGANIZING COMMITTEE: P. Fong * 3-7. Workshop on General Group Repre rector, Membership/Professional Ser (chairman), J.C. Jantzen, B. Parshall, sentation Theory, Mathematical Sciences vices, Association for Computing Ma B. Srinivasan. Research Institute, Berkeley, CA. I. Direc chinery, 11 West 42nd Street, New INFORMATION: Kaplansky, PROGRAM: This is the second of two Research York, NY 10036; 212-869-7440; tor, Mathematical Sciences workshops planned as part of MSRI's Dr., Berke email: [email protected]; Fax: Institute, l 000 Centennial program on Representations of Finite 212-869-1228. ley, CA 94720. Groups (Fall 1990). ORGANIZING COMMITTEE: J .L. Alperin, 28-November 3. Mathematical Eco 18-24. Komplexitiitstheorie, Oberwol J.F. Carlson (chairman), W. Feit, G. nomics, Oberwolfach, Federal Republic fach, Federal Republic of Germany. (Apr. Robinson. of Germany. (Apr. 1989, p. 498) 1989, p. 498) INFORMATION: I. Kaplansky, Direc 25-December l. Stochastische Approx * 29-November 2. Trieste Conference on tor, Mathematical Sciences Research imation Und Optimierungsprobleme In Integrable Systems, Trieste, Italy. Institute, 1000 Centennial Dr., Berke Der Statistik, Oberwolfach, Federal Re CHAIRMAN: L. Fadeev, A. Polyakov. public of Germany. (Apr. 1989, p. 498) ley, CA 94720. International Centre INFORMATION: 25-December l. Lineare Modelle und 9-15. Allgemeine Ungleichungen, Ober for Theor. Physics, P.O. Box 586, Mi Multivariate Statistische Verfahren, Ober wolfach, Federal Republic of Germany. Strada Costiera ll, 1-34100 ramare, wolfach, Federal Republic of Germany. (Apr. 1989, p. 498) Trieste. (Jul./ Aug. 1989, p. 769) 16-22. Mathematische Logik, Oberwol * 29-November 2. Algorithme Parallele et fach, Federal Republic of Germany. (Apr. Architectures Nouvelles, Marseille, France. December 1990 1989, p. 498) Grenoble. 25-January l. Lineare Modelle Und Mul CHAIRMAN: D. Trystram, 2-8. Multigrid Methods, Oberwolfach, INFORMATION: A. Zeller-Meier, CIRM, tivariate Statistische Verfahren, Oberwol Federal Republic of Germany. (Apr. fach, Federal Republic of Germany. (Apr. Luminy, Case 916, F-13288 Marseille 1989, p. 498) Cedex 9. 1989, p. 498) 3-5. First International Symposium on * 29-November 16. Workshop on Mathe- Uncertainty and Analysis: Fuzzy Reason matical Ecology, Trieste, Italy. ing, Probabilistic Methods and Risk Man January 1991 agement, College Park, Maryland. (Oct. Centre * 7-10. Sixth Caribbean Conference in INFORMATION: International 1989, p. 1098) for Theor. Physics, P.O. Box 586, Mi Combinatorics and Computing, Univer ramare, Strada Costiera 11, 1-34100 3-7. 1990 Australasian Conference on sity of the West Indies, St. Augustine, Trieste. Combinatorial Mathematics and Comput Trinidad. ing, Palmerston North, New Zealand. INFORMATION: E.J. Farrell, 6 CCCC, (Feb. 1989, p. 183) November 1990 Department of Mathematics, The Uni * 3-7. SINO-JAPANESE Joint Seminar versity of the West Indies, St. Augus 2-3. Central Section Meeting of the on Nonlinear PDEs with Emphasis on tine, Trinidad. AMS, University of North Texas, Den Reaction-Diffusion Aspects., Taipei, Tai ton, TX. wan. 16-19. Joint Mathematics Meetings, San Francisco, CA. (including the an-
JANUARY 1990, VOLUME 37, NUMBER 1 61 Meetings and Conferences
nual meetings of the AMS, AWM, MAA, Lions, A.J. Majda, J.N. Mather, J.W. Ya. G. Sinai, L. Tartar, S. and NAM) Milnor, May 1992 Wolfram, V.E. Zakharov. INFORMATION: H. Daly, AMS, P.O. INFORMATION: J.F. Toland, School * 29-31. Twenty-first International Sympo Box 6248, Providence, Rl 02940. of Mathematical Sciences, University sium on Multi-Valued Logic, Sendai 980, of Bath, Claverton Down, Bath BA2 Japan. 7AY, United Kingdom, phone 0225 INFORMATION: T. Higuchi, Dept. of 826188; email: [email protected]; February 1991 EE, Tohoku Univ., Aoba, Aramaki, or, J.M. Ball, Department of Mathe Sendai 980, Japan; phone (022) 222- * 25-March I. IEEE Computer Society matics, Heriot-Watt University, Ric 1800. COMPCON Spring '91, San Francisco, carton, Edinburgh EH14 4AS, United CA. Kingdom; phone 031 451 3227; email: INFORMATION: COMPCON Spring '91, mthjmb I @uk.ac.hw. vaxb. June 1992 IEEE Computer Society, 1730 Mas 29-July I. Joint Meeting with the Lon sachusetts Ave., N.W., Washington, don Mathematical Society, Cambridge, DC 20036-1903; 202-371-1013. England. INFORMATION: H. Daly, American November 1991 Mathematical Society, Post Office Box July 1991 * 18-22. Supercomputing '91, Albuquerque, 6248, Providence, Rhode Island 02940. NM. * 1-5. The Mathematics of Nonlinear Sys tems, University of Bath, United King INFORMATION: R.L. Elliott, Comput January 1993 dom. ing and Communications Division, 13-16. Joint Mathematics Meetings, San MS B260, Los Alamos National Lab of its Nonlinear Antonio, TX. (including the annual meet PROGRAM: As part oratory, Los Alamos, NM 87545. Systems initiative, the United King ings of the AMS, AWM, MAA, and dom Science and Engineering Re NAM) search Council is sponsoring a major INFORMATION: H. Daly, AMS, P.O. international conference to be held at Box 6248, Providence, Rl 02940. the University of Bath. The aim is to review the importance of recent February 1992 mathematical contributions to non January 1994 * 24-28. IEEE Computer Society COMP- linear science and to look forward to CON Spring '92, San Francisco, CA. 5-8. Joint Mathematics Meetings, Cincin likely future developments. nati, OH. (including the annual meetings ORGANIZERS: J.F. Toland, J.M. Ball. INFORMATION: COMPCON Spring '92, of the AMS, AWM, MAA, and NAM) INVITED SPEAKERS: J.W. Cahn, C. IEEE Computer Society, 1730 Mas Fefferman, C. Foias, M. Kruskal, P.O. sachusetts Ave., N.W., Washington, INFORMATION: H. Daly, AMS, P.O. Lax, A. Libchaber, J.-L. Lions, P.-L. DC 20036-1903; 202-371-1013. Box 6248, Providence, Rl 02940.
ALGEBRAIC TOPOLOGY Mark Mahowald and Stewart Priddy D (Contemporary Mathematics. Volume 96) D This book will provide readers with an overview of some of the 1980 Mathematics Subject Classifications: 55-06; 55P42, 55P45, major developments in current research in algebraic topology. 55R45,55T15, 18F25 LC 89-15023 leading researchers in the field, the ISBN 0-8218-5102-0, Representing some of the ISSN 0271-4132 book contains the proceedings of the International Conference 368 pages ( softcover), August 1989 on Algebraic Topology, held at Northwestern University in Individual member $25, List price $41 , March, 1988. Several of the lectures at the conference were Institutional member $33 expository and will therefore appeal to topologists in a broad To order, please specify CONM/96NA range of areas.
The primary emphasis of the book is on homotopy theory All prices subject to change. Shipment and its applications. The topics covered include elliptic will be made by surface. For air deliv cohomology, stable and unstable homotopy theory, classifying ery add, I st book $5, each additional spaces, and equivariant homotopy and cohomology. book $3, maximum $100. Prepayment required. Order from American Mathe Geometric topics-such as knot theory, divisors and matical Society, P.O. Box 1571, Annex configurations on surfaces, foliations, and Siegel spaces-are Station, Providence, Rl 02901-1571, or also discussed. Researchers wishing to follow current trends call toll free 800-321-4AMS to charge in algebraic topology will find this book a valuable resource. with VISA or MasterCard.
62 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY New AMS Publications
NONLINEAR WAVE EQUATIONS recent years for using weak convergence methods to study Walter A. Strauss nonlinear partial differential equations. This work represents an expanded version of a series of ten talks presented by the (CBMS Regional Conference Series, Number 73 author at Loyola University of Chicago in the summer of 1988. Supported by the National Science Foundation) The author surveys a wide collection of techniques tor The theory of nonlinear wave equations in the absence of showing the existence of solutions to various nonlinear shocks began in the 1960s. Despite a great deal of recent partial differential equations, especially when strong analytic activity in this area, some major issues remain unsolved, estimates are unavailable. The overall guiding viewpoint is such as sharp conditions for the global existence of solutions that when a sequence of approximate solutions converges with arbitrary initial data, and the global phase portrait in the only weakly, one must exploit the nonlinear structure of the presence of periodic solutions and traveling waves. POE to justify passing to limits. The author concentrates on This book, based on lectures presented by the author at several areas that are rapidly developing and points to some George Mason University in January 1989, seeks to present underlying viewpoints common to them all. Among the several the sharpest results to date in this area. The author surveys themes in the book are the primary role of measure theory the fundamental qualitative properties of the solutions of and real analysis (as opposed to functional analysis) and nonlinear wave equations in the absence of boundaries and the continual use in diverse settings of low amplitude, high shocks. These properties include the existence and regularity frequency periodic test functions to extract useful information. of global solutions, strong and weak singularities, asymptotic The author uses the simplest problems possible to illustrate properties, scattering theory and stability of solitary waves. various key techniques. Wave equations of hyperbolic, Schrodinger, and KdV type are Aimed at research mathematicians in the field of nonlinear discussed, as well as the Yang-Mills and the Vlasov-Maxwell PDEs, this book should prove an important resource for equations. understanding the techniques being used at the forefront of The book otters readers a broad overview of the field and this vital area of research. an understanding of the most recent developments, as well as the status of some important unsolved problems. Intended tor mathematicians and physicists interested in nonlinear waves, Contents this book would be suitable as the basis for an advanced Weak convergence: Review of basic theory; Convergence of averages; graduate-level course. Compactness in Sobolev spaces; Measures of Concentration; Measures of Oscillation; Convexity: The calculus of variations; Contents Weak lower semicontinuity; Convergence of energies and strong lnvariance; Existence; Singularities; Solutions of small amplitude; convergence; Quasiconvexity: Definitions; Weak lower semicontinuity; Scattering; Stability of solitary waves; Yang-Mills equations; Convergence of energies and strong convergence; Partial regularity Vlasov-Maxwell equations. of minimizers; Examples; Concentrated compactness: Variational Compensated compactness: 1980 Mathematics Subject Classifications: 35L70, 35020, 35B35, problems; Concentration-Cancellation; 35P25, 81E10, 82A45 Direct methods; Div-curl lemma; Elliptic systems; Conservation laws; ISBN 0-8218-0725-0, LC 89-18167, ISSN 0160-7642 Generalization of Div-curl lemma; Maximum principle methods: 176 pages (softcover), December 1989 The maximum principle for fully nonlinear POE; Homogenization of All individuals $13, List price $21 nondivergence structure POE; Singular perturbations. To order, please specify CBMS/73N
1980 Mathematics Subject Classifications: 35A05, 35A15, 35B50, 35J60, 35L65, 46E85 WEAK CONVERGENCE METHODS FOR ISBN 0-8218-0724-2, LC 89-27844, ISSN 0160-7642 88 pages (softcover), January 1990 NONLINEAR PARTIAL DIFFERENTIAL All individuals $12, List price $19 EQUATIONS To order, please specify CBMS/74N Lawrence C. Evans (CBMS Regional Conference Series, Number 74 Supported by the National Science Foundation) The purpose of this book is to explain systematically and clearly many of the most important techniques set forth in
Use the order form in the back of this issue or call 800-321-4AMS (800-321-4267) to use VISA or MasterCard.
JANUARY 1990, VOLUME 37, NUMBER 1 63 New AMS Publications
with 2-categorical methods, and a useful tool for studying toposes and other categories. COLORING THEORIES Steve Fisk Contents Preliminaries: ~-filtered colimits; ~-flat functors; Accessible (Contemporary Mathematics, Volume 103) categories and functors: ~-accessible categories; Small categories The focus of this work is the study of global properties of and accessibility; Raising the index of accessibility; Accessible various kinds of colorings and maps of simplicial complexes. functors; An equivalent definition of accessibility; Sketches and logic: Sketches; Logic; The downward Lowenheim-Skolem theorem; In addition to the usual sorts of coloring, the author studies Examples; Sketching accessible categories: Preliminaries on colorings determined by groups, colorings based on regular 2-categories; The canonical sketch associated with a ~-accessible polyhedra, and continuous colorings in finitely and infinitely category; Small sketches for an accessible category; Diagrams many colors. The emphasis is on how all the colorings fit of accessible categories and diagrams of sketches; Axiomatizing together, rather than on the existence of colorings or the an accessible subcategory; Limits and colimits of accessible number of colorings. Beginning with some fundamental categories: Colimits of sketches and limits of accessible categories; properties of simplicial complexes and colorings, the author Some results concerning Grothendieck toposes; Accessible fibrations; shows how colorings relate to various aspects of group Lax colimits of accessible categories; The powerful image of an theory, geometry, graph theory, and topology. accessible functor; Limits and colimits in accessible categories: Completeness and cocompleteness in accessible categories; Models Contents of a sketch in an accessible category; Detectability of colimits; Properties of the combinatorial category; The symmetric group Completing an accessible category. complex Sn; Complexes arising from geometry; Graphs; Complexes with a structure group; Reflexive and self dual complexes; Continuous 1980 Mathematics Subject Classifications: 18C10, 03G30, 03C95, colorings; Coloring with arbitrary complexes. 18D05; 18B25,03E55, 03C75 ISBN 0-8218-5111-X, LC 89-18125, ISSN 0271-4132 1980 Mathematics Subject Classifications: 05C1 0, 05C15, 05C25, 184 pages ( softcover), December 1989 05C70 Individual member $19, List price $31, ISBN 0-8218-5109-8, LC 89-27623, ISSN 0271-4132 Institutional member $25 184 pages (softcover), December 1989 To order, please specify CONM/104N Individual member $19, List price $31, Institutional member $25 To order, please specify CONM/103N MathSci USER GUIDE, Second Edition This is the second edition of the MathSci User Guide, which provides support and documentation for users of MathSci, ACCESSIBLE CATEGORIES: THE the online database covering the world's literature in all areas FOUNDATIONS OF CATEGORICAL MODEL of mathematics, computer science, and statistics. This handy THEORY reference will prove invaluable to the many users who now Michael Makkai and Robert Pare access MathSci online, from tapes, or on compact disc. (Contemporary Mathematics, Volume 104) The MathSci User Guide provides complete instructions on the use of MathSci. Instructions on getting started, Intended for category theorists and logicians familiar with descriptions of aspects of the database, sarnple searches, basic category theory, this book focuses on categorical model information on source publications, explanation of the theory, which is concerned with the categories of models of classification schemes, lists of subject words and keywords, infinitary first order theories, called accessible categories. The and institution codes and addresses are all in this starting point is a characterization of accessible categories comprehensive manual. In addition, there is a description of in terms of concepts familiar from Gabriel-Ulmer's theory how to use the computer typesetting system TEX to typeset of locally presentable categories. Most of the work centers MathSci records directly from the database, and appendices on various constructions (such as weighted bilimits and lax on transliteration of the Cyrillic alphabet and Chinese names, colimits), which, when performed on accessible categories, on mnemonics representing mathematical symbols, and on yield new accessible categories. These constructions are TEX codes used in MathSci. necessarily 2-categorical in nature; the authors cover some The MathSci database is derived from six printed aspects of 2-category theory, in addition to some basic model publications, Mathematical Reviews, Current Mathematical theory, and some set theory. One of the main tools used in Publications, Current Index to Statistics, Index to Statistics this study is the theory of mixed sketches, which the authors and Probability, Computing Reviews, and the ACM Guide to specialize to give concrete results about model theory. Computing Literature. Making this broad range of information Many examples illustrate the extent of applicability of these available, the MathSci User Guide will prove useful to concepts. In particular, some applications to topes theory are researchers as well as librarians. given. Perhaps the book's most significant contribution is the way 1980 Mathematics Subject Classification: 00 it sets model theory in categorical terms, opening the door for ISBN 0-8218-0233-X further work along these lines. Requiring a basic background 624 pages (hardcover), January 1990 in category theory, this book will provide readers with an AMS/ ASA/IMS member $68, List price $85 understanding of model theory in categorical terms, familiarity To order, please specify USERSGUIDE/N
64 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY New Members of the AMS
ORDINARY MEMBERS Jacek Brodzki, Mathematical Inst, Mark C Cutler, St Albans School, Timothy Richard Garrett, New Stephen John Abbott, Cheshire, Oxford, England Washington, DC Orleans, LA Normal England Elizabeth M Broman, Johns Eduardo F D'Azevedo, Univ of Guang Ping Ge, Hefei Teacher's Univ, People's Ernesto Acosta, Ithaca', NY Hopkins Univ, Baltimore, Waterloo, Ontario, Canada Sheryl L Adams, Altus, OH MD Qais H Darwish, Muttrah, Oman Republic of China Tehran, Abdullah Rawaf Al-Rawaf, Patrick D Brown, Pawtucket, Rl Neil E Davis, Kettering, OH Afshin Gholamzadeh, Chahran, Saudi Arabia Eugene J Brunelle, Jr, Ballston Steve R De Jong, Fort Collins, Iran TX Greg W Anderson, Univ of Spa, NY co John C Giles, El Paso, Gilmore, Cary, NC Minnesota, Minneapolis Linda M Bruning, Houston, TX Guy M De Primo, San Francisco, Paul A Golden, Setauket, NY Ted J Andresen, St Petersburg, J Robert Buchanan, Sanford, NC CA Donald FL William Buford, Emigrant, MT Ursula D Derui, Bern, Andrea Gombani, LADSEB-CNR, Padova, Italy Alan C Anthony, Athens, TX Paul Charles Burgoyne, Canfield, Switzerland Y Goulet, Newcomb, NY Galip M Arkilic, Alexandria, VA OH Miguel A Diaz-Quinones, Madrid, Gerald Mayo Thomas R Arrington, Ceja Corp, Dale K Burtner, Wichita, KS Spain Patricia L Grambsch, Rochester, MN Tulsa, OK Gerald Burton, Virginia State Kathryn R Dickson, Williams Clinic, of Maryland, David W Arsenault, San Jose, CA Univ, Petersburg School, New London, CT Celso Grebogi, Univ College Park Krassimir Atanassov, Inst for Renee C Burton, Los Angeles, CA Nicholas Dodd, Naval Gura, Ramsey, NJ Microsys, Sofia, Bulgaria Stephen Paul Byers, Conway, AR Postgraduate School, Kay M L Guri, Trumbull, CT Sandra L Atkins, Tallahassee, FL JoeL Calaza, Lawton, OK Monterey, CA Michael Hadjisavvas, Univ of the Dov Bai, Ithaca, NY Thomas G Callahan, Norcross, Herb Doughty, Oakland, CA Nicolas Greece Marcia Jean Bain, Jacksonville, GA Kevin C Downing, Chicago, IL Aegean, Samos, J Hadley, New FL Roberto Camassa, Pasadena, CA Costas A Drossos, Univ of Patras, Mary OH Lorie M Baker, American Alejandro Campos, Lima, Peru Patras, Greece Philadelphia, Bin Han, Hebei Univ, Petroleum Inst, Washington, Humberto Canate, Hostos Bernd Einfeldt, Aachen, Federal Yan of China DC Community College (CUNY), Republic of Germany People's Republic Michael Hanau, Southboro, MA Robert S Baker, Santa Monica, Bronx, NY Bjorn Ellertsson, UCLA, Los Ballston CA Gregory A Cannon, Houston, TX Angeles, CA Donald Rosswell Harris, William A Baldwin, Santa Clara, Frederick F Carlson, McLean, VA James S Ellis, Shorewood, WI Lake, NY E Hartmann, Univ of CA Richard G Carter, NASA, Langley Eric J Evans, Tallahassee, FL Mark North Carolina, Chapel Hill Evanthia Basias, Brooklyn, NY Res Center, Hampton, VA Adel Faridani, Westfalische Diego, CA Carl B Bedell, Philadelphia C of Mary Elizabeth Chamlee, Georgia Wilhelms Univ, Munster, Cheryl A Haw, San Baton Text & Science, P A Tech, Atlanta Federal Republic of Germany Manju V Hegde, LSU, Daphne A Bell, Tullahoma, TN Zao Ping Chen, Hebei Normal Manuel Feliciano-Dodonoff, Jr, Rouge, LA V Heppa, Maspeth, NY George E Bergey, Lancaster, PA Univ, Hebei, People's Aerospace, Los Angeles, CA Douglas C Heurtley, Arlington, VA David Berlinski, San Francisco, Republic of China David J Ficht, Springfield, IL John Napa, CA CA Laura L Cicala, Phillipsburg, NJ Brian H Fiedler, Univ of Harrison R Hickey, Jr, A Hill, Salina, KS Cheryl B Bernstein, Staten Island, Ljubomir Ciric, Novi Belgrade, Oklahoma, Norman Jeffrey C Hix, The Colony, TX NY Yugoslavia William D Fielding, Houston, TX Michie! Berkeley, Magnus L Birkner, Vancouver, Dawn E Cleverley, Camillus, NY John J Fitzpatrick, New York, Detlev W Hoffmann, British Columbia, Canada James H Cliborn, Topanga, CA NY CA Federal Terry Mark Blakney, Kittanning, Linda S Collins, San Antonio, TX Catherine A Florman, Canoga Thomas Honold, Neuried, of Germany PA Vernon Curtis Conner, Tampa, Park, CA Republic Metropolis, IL Kimberly A Boardman, Sherman, FL Wit Forys, Jagiellonian Univ, David J Horntrop, MO NY Wilson H Craig, Jr, Michigan Krakow, Poland Joseph W Howe, Florissant, Lubbock, Robert Edwin Bolger, Fairfield Masonic Home, Alma G Keith Foster, Orange City, lA William H Howland, Univ, CT Robert L Cramer, Lafayette, CO Woody C Foster, Chicago, IL TX V Hromadka, Irvine, Allan R Bonadio, San Francisco, Tonya Faith Craton, Temple, GA Jeffrey S French, Macomb, IL Theodore CA Robert Dean Crise, Jr, Highland, Lynn M French, San Jose, CA CA P Hub!, Univ of Robert W Bonvallet, Naperville, CA Richard B Frost, San Diego, CA Reinhold IL Patrick F Crosby, Caltech, Scott R Fulton, Clarkson Univ, Regensburg, Federal Republic of Germany Emory Bowers, Elloree, SC Pasadena, CA Potsdam, NY Perrin Hudgins, Nancy J Bray, San Diego, CA Jean-Christophe Culioli, Oak Steven Allen Gabriel, Arvada, CO Archibald Raleigh, NC Peter A Braza, Univ of North Ridge National Lab, Oak Gene B Gale, Pan American Life Iozzi, Milan, Italy Florida, Jacksonville Ridge, TN Ins, New Orleans, LA Fabrizio A Jackson, Atco, NJ Per Bro, Santa Fe, NM Lisa M Gale, Greenville, NC Kelly
JANUARY 1990, VOLUME 37, NUMBER 1 65 New Members of the AMS
Anooshirvan Jafari, Wilberforce Christian Mazza, Univ of Joan A Paz, Mountain View, CA Alan Schulhoff, Scottsdale, AZ Univ, OH Fribourg, Switzerland Sam A Pearsall, La Verne, CA Thomas Emmanuel Schwaller, Florian Jarre, Univ of Wurzburg, Merdis J McCarter, Bernadette Pellegrini, Staten Fribourg, Switzerland Federal Republic of Germany Winston-Salem, NC Island, NY Alwyn Scott, Tucson, AZ Fukuta Jiro, Gifu, Japan Roger Alan McCoy, San Diego, Alberto Alejandro Perez-Pulido, Donald Jeffrey Seader, Michael A Johnson, San Diego, CA York, PA Sacramento, CA CA Thomas Glenn McKee, Jr, Charles E Perkins, Peekskill, NY Susan A Seidel, Friendswood, TX Charles H Jones, Rosamond, CA Passaic, NJ Sven R Peterson, Ballston Spa, Michael J Seldon, Arkansas City, Paula J Jones, Bradenton, FL Nihal J Mehta, Univ of NY KS Peter Morley Jones, Bozeman, Pennsylvania, Philadelphia Florian Petrescu, lnst for Comp James L Sferas, DataChem Inc, MT John E Merritt, Salt Lake City, & Info, Bucharest, Romania Salt Lake City, UT Olle Mats Bernhard Jonsson, UT Michael A Petro, Richmond Glenn Christopher Shell, Stockholm, Sweden Susan M Meyer, Clarence, NY Heights, OH Woodland Hills, CA Yeong-Heum Jyoo, Kon-Kuk losefina Mihut, Timisoara, Joseph G Pigeon, Norristown, PA Marilyn K Simon, Del Mar, CA Univ, Seoul, Korea Romania Dan B Pitcher, Clearfield, UT David G Simpson, OAO Corp, Patricia E Kaman, Buffalo, NY Andro Mikelic, Rudjer Boskovic Randy Potter, Arete Assocs, Greenbelt, MD Georgia Kamvosoulis, Mahopac, Inst, Zagreb, Yugoslavia Sherman Oaks, CA Jon A Sjogren, Yorktown, VA NY Motilal Mittal, Ohio Kirby S Pressly, Wharton, TX Raymond E Slyh, Columbus, OH Lee Katz, Commack, NY Supercomputer Center, Dorothy K Preston, Raleigh, NC Anne C Smith, Univ of Virginia, Anatole Kaushanski, North York, Columbus loannis C Purnaras, Arta, Greece Charlottesville Ontario, Canada Masaya Mochizuki, Yamanashi, Lynn R Purser, Huntsville, AL David C Smith, Yuma, AZ Frank B Kearney, Jr, Toms River, Japan SerA Quek, National Univ of Gary A Smith, Muncy, PA NJ John E Molyneux, Widener Univ, Singapore James T Smith, San Francisco, Benjamin B Kimia, McGill Univ, Chester, PA Jeffrey P Radick, Santa Cruz, CA CA Montreal, Quebec, Canada James E Moore II, Univ of Joseph J Rainone, Apple Valley, H Yosef Solomon, Univ of Mahmoud A Kishta, United Southern California, Los CA Cincinnati, OH Arab Emirates Univ, Alain, Angeles Marcos Raydan, Rice Univ, Michael Somos, East Cleveland, United Arab Emirates Jaroslaw Morchalo, Poznan, Houston, TX OH John E Kohn, Richmond, CA Poland Tom P Repoff, Georgetown, CO Joseph C Sotham, Seattle, WA Diane Krasnewich, Muskegon, MI Douglas Moreman, Baton Rouge, Benito Resendez, Houston, TX Joel A Stein, California State Donald L Kreher, Univ of LA Kelly S Robinson, Fairport, NY Univ, Chico Wyoming, Laramie Andrew J Morton, Univ of Roger Rockefeller, Utica College, Lotte C Stein, Hallandale, FL Marty T Lance, Greenwood, SC Illinois at Chicago NY Steven J Stendahl, McLean, VA MikeS Latham, Rolf, OK Howard E Motteler, Catonsville, Kenneth Rockwood, Staten Brad S Stone, Dallas, TX Keith B Lawler, League City, TX MD Island, NY William W Stork, Caltech, Joann Lawrence, New Egypt, NJ Angel Muleshkov, Las Vegas, NV Gilbert L Rodriguez, Pasadena, Pasadena, CA Marlene Ola Tyler Lawson, Kyle Malone Munsey, Jr, CA J Michael Stribling, Paris, TX Washington, DC Roanoke, VA Sebastian Joseph Romeo, San Michael A Stueben, Annandale, Judith A Leckman, Lawton, OK Steve Y Murakami, Colorado Leandro, CA VA Donald D Lemke, Tama, lA Springs, CO Robert D Rosebrugh, Mount John A Suarez-Beard, Lancaster, Doris L Lewis, Big Rapids, MI Anton S Muresan, Univ of Allison Univ, Sackville, New CA Dennis R Lienke, Minnesota Cluj-Napoca, Romania Brunswick, Canada Janet E Taubin, Oceanside, NY Supercomputer lnst, William D Murphy, Rockwell Hyman Rosen, Brooklyn, NY Rena Denise Taunton, Tallassee, Minneapolis Inst, Thousand Oaks, CA Michael J Rosenborg, San Luis AL John H Lilly, Univ of Louisville, Lev S Nakhamchik, Willowdale, Obispo, CA Eric R Thaler, Arvada, CO KY Ontario, Canada Edward B Rothstein, Brooklyn, John B Thoo, Capitola, CA Leo C Lin, California State Univ, Ampalavanar Nanthakumar, NY Nora S Thornber, Berkeley Long Beach Bloomsburg Univ, PA Kevin Scott Ruland, St Louis, Heights, NJ Terry N Linn, Silver Spring, MD Badri R Narayanan, Stevens Inst MO Allen P Tice, Brooklyn, NY Ron Littler, Brooklyn, NY of Tech, Hoboken, NJ Michael Alan Ruxton, Stevyn M Travillian, Frostburg, Thomas G Locke, Clarksville, TN Michael Stephen Neergaard, Univ Dartmouth, Nova Scotia, MD Harold G Longbatham, San Park, PA Canada Leopold E Travis, Caltech, Antonio, TX Jon C Newman, Pasadena, TX James F Rychel, Deerfield, IL Pasadena, CA Sharon Lubkin, Ithaca, NY Tsz Yin Neville Ng, Tsing Lung Kevin Drew Sachs, Philadelphia, Lara L Troyer Todero, Bowie, Adrian Luethy, Zofingen, Tau, Hong Kong PA MD Switzerland Raymond S Nichols, West Jonathan Sacks, Newton, MA William Harrison Tulak, Vicki T Luibrand, St Clair Hartford, CT Nobuko Sagara, Aichi, Japan Springfield, MO Shores, MI Angela C Nicols, Orlando, FL John E Sasser, Huntington, WV Pierre Van Baal, Inst for Susan A Luttmann, Woodland, Kenneth 0 Nordstrom, Univ of William J Satzer, Eagan, MN Theoretical Physics, Utrecht, MI Helsinki, Finland Sarah J Savigni, Williamstown, Netherlands Ntungwa Maasha, Brunswick, GA Hans-Peter Nussbaumer, VT John Thomas Varevice, Carole L Malik, Pittsburgh, PA Moerigen, Switzerland William Savino, Hagerstown, MD Collingswood, NJ James A Maltas, West Liberty, lA Norbert L Oldani, Utica, NY Frank Schiffel, Jr, Norton AFB, Sergey G Vorobyov, Arnold J Mandell, Univ of Rene Olivares, New York, NY co Pereslavi-Zalessky, USSR California San Diego, La Francis Osita Onukwuli, East Susan Marie Schmidt, Norman, Christopher W Walker, Jolla Point, GA OK Middleburg, VA Lise D Maring, Newport News, Genevieve B Orr, Malvern, PA Michael H Schneider, Johns Theodore J Walsh, Catskill, NY VA Prakash Panangaden, Ithaca, NY Hopkins Univ, Baltimore, Lys A Waltien, Bayside, NY Robert C Marshall, Kingston, NY Clifford Parent, Trenton, NJ MD Stephen Ray Watkins, Arvada, Francis E Masat, Pitman, NJ Ivan Pashov, Higher lnst of Constance M Schober, Tucson, co Anita R Maxwell, Redding, CA Chern Tech, Burgas, Bulgaria AZ Bruce A Watson, Edenvale, Hugo E Mayer, Leavenworth, KS Deirdre W Paul, Madison, NJ James F Schroeder, Arlington, VA Republic of South Africa
66 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY New Members of the AMS
Jeffrey Thomas Weaver, Dayton, Jonathan Nelson Wu, Ann Arbor, Deutsche Mathematiker Suomen Matemaattinen Yhdistys OH MI Vereinigung e. V. Hans-Otto Jorma K Merikoski Wanda J Weidemann, Bowling Wei-Chau Xie, Univ of Waterloo, Walther Svenska Matematikersamfundet Green, KY Ontario, Canada Hans Johansson Mordechai M Weinstein, Haifa, Zong Yuan Yao, Xiamen Uniy, Indian Mathematical Society Israel Fujian, People's Republic of lndu Lata Sukla Unione Matematica Italiana Thomas Allen Wettergren, China London Mathematical Society Enrico Bernardi Schaumburg, IL Rugang Ye, Stanford Univ, CA James W P Hirschfeld 6sterreichische Mathematische David H White, Columbia, MO David Allen Young, Fayetteville, Real Sociedad Matemdtica Gesellschaft Bernhard James C Whiteley, Akron, OH AR Espanola Alonso Javier Kutzler Wellesley Allan Whitted, New Leszek S Zaremba, Mathematical York, NY Reviews, Ann Arbor, MI Societe Mathematique de Belgique Georganna Williams, Bradley, OK Bart L R De Moor NOMINEE MEMBERS Franz Winkler, Johannes Kepler Sociedade Brasileira de North Carolina State University Univ, Linz, Austria RECIPROCITY MEMBERS Matemdtica Raymundo L Xin Lu Darryll E Winston, Costa Mesa, CA Australian Mathematical Society Alencar Texas A B M University Ronald F Woggon, Pomona, CA Charles Edward Miller Pearce Clovis C Gonzaga Andrea Da Conturbia
NEW SERIES University Lecture Series The AMS is pleased to announce the University Lecture Series. This new book series provides a way for excellent, and sometimes inspired, lecture series to reach an audience beyond those able to attend the live lectures. Presented by the outstanding mathematicians of our day, these lectures will be important for their mathematical insight and depth, as well as for their historical and archival value. The inaugural volume in the University Lecture Series is described below. Selected Applications of Geometry to Low-Dimensional Topology Michael H. Freedman and Feng Luo (University Lecture Series, Volume 1) This book, the inaugural volume in the new proceed to the topology and geometry of foliated University Lecture Series, is based on lectures 3-manifolds. They also explain, in terms of general presented at Pennsylvania State University in position, why four-dimensional space has special February 1987. The Lectures attempt to give a taste attributes, and they examine the insight Donaldson of the accomplishments of manifold topology over theory brings. The book ends with a chapter on exotic the last 30 years. By the late 1950s, algebra and structures on R\ with a discussion of the two compet topology had produced a successful and beautiful ing theories of four-dimensional manifolds, one fusion. Geometric methods and insight, now vitally topological and one smooth. important in topology, encompass analytic objects such as instantons and minimal surfaces, as well as Background material was added to clarify the discus nondifferentiable constructions. sions in the lectures, and references for more detailed study are included. Suitable for graduate students and Keeping technical details to a minimum, the authors researchers in mathematics and the physical sciences, lead the reader on a fascinating exploration of the book requires only background in undergraduate several developments in geometric topology. They mathematics. It should prove valuable for those begin with the notions of manifold and smooth wishing a not-too-technical introduction to this vital structures and the Gauss-Bonnet theorem, and area of current research.
Standing orders are acceptedfor any book series published by the Society. Proforma invoices are sent to standing order customers prior to the publication of each new volume. Shipment is made upon receipt of payment and publication. To begin a standing order for this new series of any other AMS series, please contact Customer Services at 401-455-400.
All prices subject to change. Shipment will be made by surface. 1980 Mathematics Subject Classifications: 57, 53,54 For air delivery add, 1st book $5, each additional book $3, ISBN 0-8218-7000-9, LC 89-18287 maximum $100. Prepayment required. Order from American 96 pages (softcover), December 1989 Mathematical Society, P.O. Box 1571, Annex Station, Providence, Individual member $20, List price $33, RI 02901-1571, or call toll free 800-321-4AMS (321-4267) in Institutional member $26 North America to charge with VISA or MasterCard. To order, please specify ULECT/lNA
JANUARY 1990, VOLUME 37, NUMBER 1 67 Classified Advertisements
SUGGESTED USES for classified advertising are positions available, books or lecture TRENTON STATE COLLEGE notes for sale, books being sought, exchange or rental of houses, and typing services. DEPARTMENT OF THE 1990 RATE IS $50.00 per inch on a single column (one-inch minimum), calculated MATHEMATICS AND STATISTICS from the top of the type; $22 for each additional liz inch or fraction thereof. No discounts for multiple ads or the same ad in consecutive issues. For an additional $1 0 charge, ANTICIPATED FACULTY VACANCIES FOR announcements can be placed anonymously. Correspondence will be forwarded. FALL, 1990. Advertisements in the ··Positions Available .. classified section will be set with a minimum Assistant Professor of Mathematics Tenure one-line headline, consisting of the institution name above body copy, unless additional track. Req'd: Ph.D. (or within one year of com headline copy is specified by the advertiser. Advertisements in other sections of the classified pletion): demonstrated commitment to quality pages will be set according to the advertisement insertion. Headlines will be centered in teaching; strong research potential. Both pure boldface at no extra charge. Classified rates are calculated from top of type in headline to and applied mathematics will be considered. bottom of type in body copy, including lines and spaces within. Any fractional text will be Assistant Professor of Statistics Tenure charged at the next liz inch rate. Ads will appear in the language in which they are submitted. track. Req'd: Ph.D. in Statistics (or within Prepayment is required of individuals but not of institutions. There are no member one year of completion); demonstrated com discounts for classified ads. Dictation over the telephone will not be accepted for classified mitment to quality teaching; strong research advertising. potential. Both theoretical and applied statis DEADLINES are listed on the inside front cover or may be obtained from the AMS ticians will be considered. Advertising Department. Assistant Professor of Mathematics Edu U. S. LAWS PROHIBIT discrimination in employment on the basis of color, age, sex, race, cation Tenure track. Req'd: Ph.D. or Ed.D. in religion or national origin. ··positions Available·· advertisements from institutions outside the Mathematics Education (or within one year U. S. cannot be published unless they are accompanied by a statement that the institution of completion); demonstrated commitment to does not discriminate on these grounds whether or not it is subject to U. S. laws. Details quality teaching, ability to teach both under and specific wording may be found near the Classified Advertisements in the January and graduate and graduate mathematics courses, July1 August issues of the Notices. as well as supervise field experience; strong SITUATIONS WANTED ADVERTISEMENTS from involuntarily unemployed mathematicians research potential. are accepted under certain conditions for free publication. Call toll-free 800-321-4AMS for Send vita and three letters of recommen further information. dation to: Dr. Aigli Papantonopoulou, Chair, SEND AD AND CHECK TO: Advertising Department, AMS, P. 0. Box 6248, Providence, Search Committee, Department of Mathe Rhode Island 02940. AMS location for express delivery packages is 201 Charles Street, matics and Statistics, Trenton State College, Providence, Rhode Island 02904. Individuals are requested to pay in advance, institutions Hillwood Lakes CN4700, Trenton, NJ 08650- are not required to do so. AMS FAX 401-331-3842 .. 4700. Application deadline is March 1, 1990, or until positions are filled. Non U.S. citizens POSITIONS AVAILABLE must include statement of current visa status. UNIVERSITY OF SOUTHERN CALIFORNIA The department enrolls every year an LOS ANGELES, CALIFORNIA 90089-1113 average of forty liberal arts majors in math UNIVERSITY OF CALIFORNIA ematics who have the option to concentrate SANTACRUZ The Division of Natural Sciences and Math education. A ematics at USC has begun a five-year, in statistics or in mathematics graduate program offers a Master's degree in The Mathematics Department at the Univer $50 million Science Initiative. Several tenure sity of California, Santa Cruz is recruiting for track Assistant Professorships and possible mathematics. Trenton State College has earned national a position in algebra or number theory, at ei tenured positions at Associate Professor and recognition as a highly competitive under ther the Assistant (tenure-track) or Associate Professor are anticipated for 1990-91 in graduate institution. TSC is located on 224 Professor (tenured) level. Salary will be in Mathematics. Visiting positions (at all levels) acres in Ewing Township, within seven miles the range of $33,900-$36,600 (Asst. Prof.) or and postdoctoral appointments will also be research corridor. $40,400-$45,200 (Assoc. Prof.), effective July available. of Central New Jersey's To enrich education through diversity, TSC 1, 1990. The teaching load is 4 one-quarter Any research area in pure or applied courses per year. Minimal qualification is a mathematics or statistics will be considered, is an AA/EOE. Ph.D. or equivalent in math. Candidates at including but not restricted to: Algebraic the tenure level are expected to have an Geometry, Biomathematics, Control Theory, exceptionally strong research record as well Differential Geometry, Dynamical Systems, COLBY-SAWYER COLLEGE as a solid teaching record. Candidates at Functional Analysis, Group Theory, Number the untenured level should demonstrate the Theory, Numerical Analysis, Ordinary or Par Mathematics Faculty. Teach a variety of math potential for such. Applicants should send tial Differential Equations, Probability, Ring courses from developmental courses to ap vita, including teaching and research record Theory, Statistics, and Topology. plied calculus. Assist in curriculum develop (indicating at which level you wish to be Assistant Professors teach two ment, student placement and advising. Near considered), and four letters of recommenda courses per semester, must show strong re completion of an advanced degree desired. tion to: Recruitment Committee, Mathematics search promise, and preferably should work in Colby-Sawyer is a small independent college Department, University of California, Santa one of the above areas. Applicants for senior located in beautiful New Hampshire. We value Cruz, CA 95064. Closing Date: February positions must have an outstanding record teaching skills and commitment to the stu 1, 1990. Please refer to #190-890 in your of research and scholastic achievement. Ad dent. Letter of application, resume and names reply. Applications from women and minori dress inquiries to: Chair of Appointments of five references to: Director of Human Re ties are particularly welcomed. UCSC IS AN Committee/Department of Mathematics-ORB sources, Colby-Sawyer College, New London, EEO/AA/IRCA EMPLOYER. 306/Los Angeles, CA 90089-1113. EOE/ AA. NH 03257. EOE.
68 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Classified Advertisements
POSITIONS AVAILABLE matical Sciences, Tel: (02) 492957; Fax: (02) KENT STATE UNIVERSITY 490759. Closing date: 28 February 1990 Ref: Department of Mathematical Sciences THE AUSTRALIAN NATIONAL UNIVERSITY SMS 22.11.2. Research Associate/Research Senior Position in Applied SCHOOL OF MATHEMATICAL SCIENCES Fellow (ARC). A Research Associate or Re Mathematics/Scientific Computation search Fellow is required to work with Pro The School of Mathematical Sciences is a Applications are invited for a faculty position fessor M. N. Barber on a project concerned campus-wide school encompassing the De or full professor level begin with mathematical and computational aspects at the associate partment of Mathematics in the Faculty of Sci 1990. The ideal candidate of the dynamics of solidification and the evo ning Fall Semester ence, the Centre for Mathematical Analysis, training in classical ap lution of solidification fronts. The project is would have a strong which is one of the Australian Government's and some experience with funded by the Australian Research Council plied mathematics Special research Centres, and the Mathe large-scale scientific computation. He or she for up to three years from January 1, 1990. matics and the Statistics Research Sections to have a solid record of The level of appointment will be determined would be expected in the Institute of Advanced Studies. The and external funding, by qualifications and experience. A PhD in research, publication, School is embarking on a major expansion to quality teach applied or computational mathematics or the as well as a commitment of its activities in advanced computation, ing. The appointed faculty member would be oretical physics is a necessary qualification, including computational mathematics, com the Department's out while a strong mathematical background in expected to enhance puter intensive statistics and numerical anal research efforts, differential equations andjor experience in reach and interdisciplinary ysis. As part of these developments, the students, and contribute numerically intensive computation would be supervise graduate School seeks suitably qualified applicants and development. A desirable. It is anticipated that the project to curricular planning for the following positions. Lecturer/Senior is available. will involve use of the VP1 00 supercom competitive salary Lecturer (tenurable) in Computation Math of Mathematical Science puter at the ANU. For further information The Department ematics, Department of Mathematics. The University comprises pure and contact: Professor M. N. Barber, Department at Kent State successful candidate will be expected, par statistics, computer sci of Mathematics, Tel: (02) 494179; Fax: (02) applied mathematics, ticularly if appointed as a senior lecturer, Institute for Computational 495549; Email:[email protected]. Clos ence, and the to take a leading role in the development Mathematics. This new position is intended ing date: 28 February 1990. Ref: SMS of the Department's undergraduate courses existing strengths in applied 22.11.3. SALARY: Senior Lecturer; A$42703- to complement in computational mathematics and numerical numerical analysis and A$49529; Lecturer; A$32197 -A$41841; Se analysis (especially analysis. Applicants should possess a PhD theory) and computer science nior Research Fellow; A$44397-A$52675; Re approximation in a relevant discipline with a strong back computation, expert sys search Fellow; A$32197 -A$41841; Postdoc (especially symbolic ground in computational mathematics andjor computing). toral Fellow Grade 1 (fixed point)-Research tems, and parallel numerical analysis. Depending on the inter of the Department is Associate); A$27953-A$31808. APPOINT The infrastructure ests and qualifications of applicants it may equipment inventory includes MENT: Senior Research Fellow/Research very good: the be possible to make two appointments jointly plus Encore, Sequent, Fellow up to three years, possibility of ex 2 VAX mini-computers with the Centre for Mathematical Analysis or parallel-processing com tension to five years; Postdoctoral Fellow Staran, and Warp one of the Research Sections. In such cir variety of work-stations and normally two years, possibility of extension puters and a cumstances, the second appointment would University also maintains an to three years. APPLICATIONS should be peripherals. The be for a fixed term. For further information and a high-performance submitted in duplicate to the Registrar, The IBM 3090 mainframe contact: Dr. R. A. Bryce, Department of Math to the Gray Y-MP/864 at the Australian National University, G P 0 Box (interactive) link ematics, Tel: (02) 492921; Fax (02) 495549; Center in Columbus, on 4, Canberra ACT 2601 AUSTRALIA, quoting Ohio Supercomputer Email:[email protected]. Closing date: 28 time is readily available. reference number and including curriculum which computing February 1990. Ref: SMS 22.11.1. Research set in vitae, list of publications and names of at Kent State University is attractively Positions in Advanced Computation. Applica of northeast Ohio 40 min least three referees. The University reserves the rolling hills tions are invited for suitably qualified persons of Cleveland and 20 minutes the right not to make an appointment or utes southeast for appointment as Postdoctoral, Research Some of the main research to appoint by invitation at any time. Further east of Akron. or Senior Research Fellow within the spe area include the University's information is available from the Registrar. centers in the cial areas of (i) computational mathematics, Liquid THE UNIVERSITY IS AN EQUAL OPPOR internationally known Glenn H. Brown including applications to non-linear modelling NASA Lewis Reseach Cen TUNITY EMPLOYER. Crystal Institute, or symbolic and exact computation, or (ii) ter in Cleveland, and Loral Systems (formerly computer intensive statistical methods. No Goodyear Aerospace) in Akron. participation teaching is required, but some AUSTIN COLLEGE Application deadline is February 24, 1990. undergraduate courses may be in advanced FACULTY POSITION IN MATHEMATICS If qualified individuals do not apply by Febru available. Applications from those able to take ary 24, 1990, the deadline will be extended leave of absence from their own institution ASSISTANT PROFESSOR, tenure-track, be until the position is filled or until August will be welcomed. Persons interested in frac ginning Fall 1990. Ph.D. in mathematics (or 18, 1990, whichever occurs first. Applicants tional appointments are encouraged to apply. ABD), a commitment to teaching excellence should submit a resume and arrange to have Expressions of interest are also invited for in a liberal arts environment, and continued three letters of recommendation sent to Chuck a possible joint appointment with the Divi scholarly development required. Preferred Gartland, Chair of the Applied Mathematics sion of Mathematics and Statistics, CSIRO, fields are algebra and analysis. Occasional Search Committee, Department of Mathemat which would involve collaborating with Aus assignments to college-wide curricular pro ical Sciences, Kent State University, Kent, OH tralian Industry to identify and solve important grams. Send letter of application, transcripts 44242. Kent State University is an Affirmative problems in computer intensive statistics. An and three letters of reference by February 15, ActionjEqual Opportunity Employer. appointee to such a position would divide 1990, to David W. Jordan, Dean of Faculty, their time between the ANU and CSIRO, Austin College, Sherman, TX 75091-1177. Melbourne. For further information contact: Salary and benefit program competitive. EOE. Professor C. C. Heyde, School of Mathe-
JANUARY 1990, VOLUME 37, NUMBER 1 69 Classified Advertisements
POSITIONS AVAILABLE UNIVERSITY OF CALIFORNIA RIVERSIDE ROLLINS COLLEGE Announcement Department of Mathematical Sciences UNIVERSITY OF CALIFORNIA Chairperson and Professor Winter Park, FL 32789 LOS ANGELES Department of Mathematics Department of Mathematics One tenure track position, preferably at the The College of Natural and Agricultural Sci Assistant Professor level, is available for TEMPORARY POSITIONS ences invites applications and nominations September, 1990, pending approval. The area (1) Two E. R. Hedrick Assistant Profes for the position of Chairperson and Professor of specialization is open but a Doctorate sorships. Applicants must show very strong of the Department of Mathematics, effective (or ABO with degree nearing completion), promise in research and teaching. Salary July 1, 1990. The department is responsible strong commitment to teaching undergradu $37,000. Three year appointment. Teaching for both undergraduate and graduate teach ates and continued professional development load: four quarter courses per year, which ing in one of the fastest growing universities is required. We seek a versatile, broadly may include one advanced course in the in the country. Currently the department has educated mathematician who can work colle candidate's field. Preference will be given to twenty-eight full-time faculty with emphases gially in a ten-person Department in a liberal applications completed by January 1, 1990. in algebra, geometry, topology, and analysis arts setting. The Department offers majors in (2) Two or three Research Assistant combinatorics. There are 106 undergraduate mathematics and computer science, is cur Professorships in Computational and Ap majors and 36 graduate students. rently engaged in a calculus renewal project plied Mathematics. Applicants must show Preference will be given to candidates (funded by NSF) and is well-equipped with very strong promise in research and teach capable of providing leadership in both the Macintosh II computers. The teaching load is ing. Salary $37,000. Three year appointment. department and profession and in represent 8-10 hours per week. Winter Park, a delight Teaching load: four quarter courses per year, ing the faculty's perspective in the college; ful city of 40,000, is located in the greater which may include one advanced course in enhancing faculty performance and extra Orlando area. To ensure full consideration, the candidate's field. Preference will be given mural support and connecting the various applications must be complete by 15 Feb to applications completed by January 1 , 1990. program interests in computing with a new 1990. Send resume, transcripts and three (3) One or two Assistant Professorships in College of Engineering. Candidates for the letters of recommendation (at least one of the Program in Computing (PIC). Applicants position should have the following qualifica which must comment on teaching) to: David must show very strong promise in teaching tions: an earned doctorate in mathematics; a Kurtz, Chair. Rollins College is an affirma and research, preferably in the general area of distinguished record of scholarship, teaching tive actionjequal opportunity employer and Logic, Language and Computation. Teaching and service appropriate for the appointment women and members of minority groups are load: four quarter programming courses and as full professor; demonstrated administrative encouraged to apply. an advanced quarter course of the candidate's skills; and a strong commitment to academic choice per year. Two year appointment, pos values and the principles of affirmative action. sibly renewable once or twice. Salary range: The chairperson reports to the Dean of the THE UNIVERSITY OF SCRANTON $37,000-$44,000. Preference will be given to College of Natural and Agricultural Sciences Mathematics Department applications completed by January 1, 1990. and is responsible for providing leadership a Jesuit uni (4) One or two Lectureships in the Pro and representing faculty in matters such as The University of Scranton is gram in Computing (PIC). Applicants must teaching, personnel, and budget. Chairper versity with over 3,500 undergraduates. The formed show very strong promise in the teaching sons are appointed for up to five years and Mathematics Department is newly of programming. Teaching load: five quarter may be reviewed. Salary will be commensu from a split in a combined Mathemat programming courses per year. One year rate with qualifications and experience. The ics/Computer Science Department. It has majors. appointment, possibly renewable up to four faculty appointment is a nine-month position 15 full time faculty and about 50 are available times. Salary depends on experience, begins with additional compensation for duties while Four tenure-track positions in a at $31,200. chairperson. The closing date for applications for Fall 1990 for faculty interested is en (5) Subject to administrative approval, a will be February 15, 1990. A letter of intent, teaching environment where research few adjunct assistant professorships. Two along with a curriculum vitae, and the names, couraged and supported. Individuals with will be year appointments. Strong research and addresses and phone numbers of at least expertise in any area of mathematics Applied teaching background required. Salary $32,400- three references should be sent to: considered. Preferred areas include $36,500 per year. Teaching load: five quarter Dr. Seymour D. Van Gundy Mathematics, Probability /Statistics, Actuarial courses per year. Interim Dean, College of Natural and Mathematics, Algebra, and Analysis. Rank (6) Several positions for visitors and lec Agricuitural Sciences and salary are open and competitive. turers. University of California Riverside Submit a vita, transcripts, and three refer To apply, write to Alfred W. Hales, Chair, Riverside, CA 92521 ences to Mathematics Faculty Search Com PA, Department of Mathematics, University of The University of California, Riverside is mittee, University of Scranton, Scranton, California, Los Angeles, CA 90024-1555. Attn: an Equal Opportunity, Affirmative Action Em 18510 or phone (717) 961-7774. Screening Staff Search. ployer. Women and Minorities are encouraged will begin at once and applications will be been filled. UCLA is an equal opportunity/affirmative to apply. considered until all positions have action employer. An AA/EO Employer and Educator.
70 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Classified Advertisements
POSITIONS AVAILABLE ered until the positions are filled. Denison is WEST VIRGINIA UNIVERSITY an Affirmative Action/Equal Opportunity Em EBERLY PROFESSORSHIP IN DENISON UNIVERSITY ployer; women and minorities are encouraged MATHEMATICS to apply. Three positions, preferably at the Assis The Department of Mathematics invites ap tant Professor level, in the Department of plications and nominations for the EBERLY Mathematical Sciences. The first position is PROFESSORSHIP IN MATHEMATICS. Can non-tenurable and starts in January 1990. A didates are sought who have outstanding Master's degree in mathematics or computer scholarly accomplishments, research inter science is required; preference will be given ests which complement current areas of to those having a background in computer concentration in applied analysis or discrete science or holding the Ph.D. Applicants for mathematics, a record of funded research, WESTERN WASHINGTON UNIVERSITY this position can (if they choose) simultane and a commitment to instruction. The individ ously be candidates for one of the tenurable Applications are invited for tenure-track and ual selected will be expected to provide aca positions. visiting positions to begin Fall 1990. Success demic leadership with continued excellence The second position is in computer sci ful candidates will be expected to be active in these areas. The position will commence ence and is tenurable with a starting date of in research, to interact at the research level August 1990. Applications, nominations and Fall, 1990. It requires a Ph.D. (in hand or to with current department members, and to be inquiries should be directed to James Light be attained shortly following employment) in good teachers with a commitment to both bourne, Department of Mathematics, West computer science or in a related field. The undergraduate and graduate education. Virginia University, Morgantown WV 26506. third position, also tenurable, is in mathe Candidates in the following areas of math Candidates should submit a letter of appli matics (any specialty) and requires a Ph.D. ematics are especially sought, although out cation, vita, and names and addresses of (in hand or to be attained shortly following standing candidates in other areas consistent five references. Applications will be reviewed employment) in mathematics. It also starts in with departmental goals may also be consid as received and accepted until the position the Fall of 1990. Teaching loads are 5 and 6 ered: dynamical systems, optimization, graph is filled. WVU is an affirmative action/equal courses per year for computer science and theory. A Ph.D. in Mathematics is required. opportunity employer. Qualified women and mathematics respectively. Candidates are also sought in mathematics minorities are especially encouraged to apply. The primary responsibility of both posi education, especially secondary education. tions is teaching; a commitment to quality Responsibilities will include teaching upper instruction is essential. Some research is division mathematics courses and mathemat expected of those in tenurable positions. ics methods courses, and participation in Denison University is a liberal arts college of the development of an active in-service pro 2,100 students located in a village of 4,000, gram. A Ph.D. in Mathematics or Mathematics seven miles from Newark (population 50,000) Education is required. Elementary ;secondary and twenty-five miles east of Columbus. The teaching experience is desirable. Department of Mathematical Sciences offers Rank and salary are open, but a sub B.A. and B.S. degrees in mathematics and stantial research record will be required for computer science as well as a mathematics appointments above the Assistant Professor economics joint B.A. degree. The department level. The normal teaching load for research COLLEGE OF CHARLESTON consists of 10 full-time faculty members. Four faculty is two courses per quarter. DEPARTMENT OF MATHEMATICS members of the department have advanced Western Washington University is located degrees in computer science. on Bellingham Bay in an area of outstand Applications are invited for at least 2 tenure Every faculty office is equipped with a ing natural beauty within an hour's drive of track positions at the Assistant Professor level DOS/UNIX workstation connected to larger the Seattle and Vancouver, B.C. metropoli beginning August 1990. Candidates must have computers over a departmental network. The tan areas and the Cascade Mountains. The a Ph.D. in one of the mathematical sciences, a Department operates a classroom/laboratory department has a strong undergraduate pro commitment to undergraduate teaching, and facility with 21 IBM-PC equivalents connected gram with a somewhat applied flavor and a potential for continuing research. The normal to a 382/400 via a StarLAN network and it flourishing Master's program with more than teaching load is 9 hrsfwk for those engaged uses a symbolic computation facility consist twenty students. in research. The salary is competitive. Ap ing of two 3B2/1000 systems and a SUN Applications should be sent to Professor plicants should send a vita and have three Microsystems 4/280 Computer. The Univer Thomas T. Read, Chairman, Department of letters of recommendation sent to William sity computing facilities consist of a VAX Mathematics, Western Washington University, L. Golightly, Chairman, Department of Math 11 /621 0, and VAX 11 /785. Bellingham, WA 98225. ematics, College of Charleston, Charleston, Send resume and transcripts of graduate Interested candidates should submit a let SC 29424. The process of evaluating appli work to Professor Zaven A. Karian, Chair ter of application, complete transcripts, a vita, cations will begin on January 22, 1990, but man, Department of Mathematical Sciences, and three letters of recommendation. Dead applications will be considered until the po Denison University, Granville, OH 43023. Also line for applications is February 1 , 1990; later sitions are filled. The College of Charleston ask three persons who know you well to applications will be considered if positions is an Affirmative Action/Equal Opportunity send reference letters in support of your remain available. Positions are subject to the Employer. application (at least one letter should address continuing availability of funds. The University your teaching). For the non-tenurable posi is an EO/AA employer. tion, applications will be reviewed as they are received. Applications for the tenurable posi tions should be made by February 5, 1990; applications beyond this date will be consid-
JANUARY 1990, VOLUME 37, NUMBER 1 71 Classified Advertisements
POSITIONS AVAILABLE COLUMBIA UNIVERSITY UNIVERSITY OF SOUTHERN CALIFORNIA Department of Computer Science Department of Mathematics INDIANA STATE UNIVERSITY Lectureships Chairperson CHAIRPERSON DEPARTMENT OF MATHEMATICS AND Positions as Lecturer or Senior Lecturer will The University of Southern California invites COMPUTER SCIENCE be offered to excellent teachers with superior applications and recommendations for the research and academic backgrounds. Faculty faculty position of Chairperson of the De The Department of Mathematics and Com of all ranks in other mathematical disciplines, partment of Mathematics (at the rank of puter Science, Indiana State University, invites as well as computer science, are encouraged Professor). The Department has a faculty of applications for the position of Chairperson. to apply for these non-tenured term appoint about 45 members, representing many areas Applicants should have a doctorate in Math ments, whose duration will typically be three in pure and applied mathematics. The Divi ematics or Computer Science, a record of to six years. Pay is comparable to professorial sion of Natural Sciences and Mathematics successful teaching and research, and a levels. has begun a $50 million Science Initiative, commitment to promoting research, teach These lectureships provide an opportunity which is expected to increment the Division's ing, and other scholarly activities. In addition for teacher1 scholars with some substantial annual budget by about $15 million after five applicants should have a potential for admin prior computing experience to make a transi years. The opportunities for growth and en istering a department with both Mathematics tion to computer science. Columbia University hancement of the Department are substantial. and Computer Science degree programs. The has an outstanding young research faculty The Department offers PhD and master's Computer Science area is undergoing active and facilities, now working in a five-million degrees in both pure and applied mathemat development, so familiarity with Computer dollar office and research-laboratory building. ics, and a master's degree in statistics (with Science curricular issues is desirable. All of our "lecturer alumni" are presently in a PhD program planned}. A new Center for The Department offers BS and BA de good positions at leading universities and Applied Mathematical Sciences, under the di grees in Mathematics and Computer Science. colleges. rection of H. T. Banks, has been established, It also offers MS and MA degrees in Math Lecturers will teach two undergraduate and offers an extensive program of visitors ematics and it is developing an MS degree courses each semester. They must be able to and seminars. The Department also has a in Computer Science. There are 25 faculty make highly effective presentations to large large computer-assisted learning center for positions. The Department has an 8 proces classes. The University has several SUN 4 undergraduates and a statistics laboratory. sor Sequent and a VAX minicomputer and a computer systems dedicated to instructional Candidates for the position must have an microcomputer laboratory. use. Many terminals for students are in outstanding record of research and schol Salary and rank are commensurate with dormitories and other convenient locations. arship and must be ready to assume the qualifications and experience. Please send a Knowledge of innovative uses of technology academic leadership and administrative direc letter of application, vita and three letters of for teaching is desirable. tion of a broadly-based university department recommendation to: Send resume and three letters of reference which is in the process of expanding. If inter Dr. David Hutchison, Chairperson by February 15, 1990, if possible, to Lecturer ested, send a vita and names of references Search Committee Recruiting, Department of Computer Science, to: Department of Mathematics and Columbia University, New York, New York Chair Search Committee Computer Science 10027. Department of Mathematics Indiana State University Columbia University is an Equal Oppor University of Southern California Terre Haute, IN 47809 tunity/Affirmative Action Employer. We are Los Angeles, CA 90089-1113 Applications received after February 1, 1990 interested in receiving applications from qual USC is an Equal Opportunity I Affirmative Ac cannot be guaranteed consideration. Proof ified women and minorities. tion employer. of U.S. citizenship or eligibility for U.S. em ployment will be required prior to employ ment (Immigration Reform and Control Act of 1986). Indiana State University is an Equal Opportunity1 Affirmative Action Employer. CLEVELAND STATE UNIVERSITY Mathematics UNIVERSITY OF SOUTHERN COLORADO Department of OF TEXAS AT ARLINGTON UNIVERSITY DEPARTMENT OF MATHEMATICS Applications are invited for anticipated open PUEBLO, CO 81001-4901 We expect to fill several positions beginning ing for tenure-track Assistant Professor start and Visiting Assis the Fall semester of 1990 (five tenure-track Applications are invited for several tenure ing September 1990 for Spring Quar positions were filled in 1988 and 1989). Salary track assistant professor positions for Fall tant; Associate Professor should have a strong and rank are commensurate with qualifica 1990. Doctorate in Mathematics required. Ev ter 1990. Candidates a commitment to ex tions. The selected candidates must have ex idence of commitment to teaching excellence research record and cellent teaching. Research areas compatible cellent credentials in research and teaching. necessary. Active research desirable. Send are preferred The desired areas of expertise are Differential letter of application, resume, graduate tran with those in the Department position. Send vita, or Algebraic Geometry, Computational Geom scripts, and three letters of reference to especially for the visiting three letters of rec etry, Partial differential Equations, Functional Search and Screen Committee. Evaluation of reprintsfpreprints and Chao, Department of Analysis, Statistics and Applied Mathematics. applications will begin 7 February 1990 and ommendation to: John State University, E. A resume with three letters of recommen continue until positions are filled. USC is an Mathematics, Cleveland 24th & Euclid Ave., Cleveland, OH 44115. dation should be sent to: C. Corduneanu, AA/EO employer. Department of Mathematics, UTA Box 19408, Equal Opportunity Employer, m/f/h. Arlington, Texas 76019. UTA is an Affirmative Action/Equal Opportunity Employer.
72 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Classified Advertisements
POSITIONS AVAILABLE LOUISIANA TECH UNIVERSITY UNIVERSITY OF ARIZONA DEPARTMENT HEAD DEPARTMENT OF MATHEMATICS CALIFORNIA STATE UNIVERSITY, CHICO MATHEMATICS AND STATISTICS TUCSON, ARIZONA 85721 Department of Mathematics and Statistics Assistant Professor of Mathematics/ Louisiana Tech University invites applica The Mathematics Department at the University several Lecturer in Mathematics tions for Head, Department of Mathematics of Arizona is happy to announce and Statistics. The Department of Chemistry, positions which will be available beginning The Department is offering a tenure-track Mathematics and Statistics, and Physics make Fall1990. position at the Assistant Professor level, and up the School of Science within the College of Tenure track positions. Excellent research one or more one-year fulltime temporary po Arts and Sciences. The Department Head has record or potential, strong commitment to sitions, for the 1990-91 academic year. A responsibility for all facets of departmental teaching required. Fields should complement Ph.D. in Mathematics or Statistics and ev activity, which include curriculum develop but not duplicate existing department re idence of teaching excellence are required. ment, budgeting, recruiting, scheduling, and search strengths in algebra, computational Candidates in mathematical statistics are par faculty evaluation. As the Department's chief science, differential equations, dynamical sys ticularly encouraged to apply, but candidates administrative officer, he/she will report to tems, fluid mechanics, geometry, mathemat in all areas will be considered. Faculty teach the Dean of the College through the Director ical physics, nonlinear analysis, nonlinear 12 hours (units) per semester and are ex of the School. The Department is comprised optics, number theory, probability and statis pected to strive for excellence in teaching, of approximately twenty-five full-time fac tics. be actively engaged in scholarly activities, ulty members. Salary is commensurate with Postdoctoral fellowships (Research Asso including research, and contribute to the gov qualifications. The position will be available ciate). Applicants with areas of strength in ernance of the Department. The salary range on/after July 1, 1990. applied mathematics, computational science is $28,884-$39,924 for an Assistant Professor Applicants must hold a Ph.D. in Mathemat and nonlinear optics may qualify for Special and $28,884-$55,452 for a Lecturer. ics or Statistics, have an established record Center of Excellence Awards. Only candi California State University, Chico enrolls of research and scholarly activity, and be able dates with outstanding research records or 16,000 students, with thirty fulltime faculty in to provide strong academic leadership. potential should apply. mathematics and statistics. Chico, a commu Although applications will be accepted until The Mathematics Department will also nity of 60,000, is 90 miles north of Sacra the position is filled, evaluation of applicants have several visiting positions for next year. mento. will begin immediately following the joint We encourage early application. Deadline Qualified candidates should submit a re meetings in Louisville (a representative will date will be February 1, 1990 or whenever sume, graduate transcripts, supporting doc be registered at the meeting). Please submit positions are filled. Women and minority appli uments, and at least three letters of rec application, resume, and three letters of cants are especially welcome. Send applica ommendation, prior to the closing date of reference to: tions (please include Social Security number February 1 , 1990, to: Dean if possible} to Thomas A. McCready, Chair College of Arts and Sciences Department Head Department of Mathematics and Louisiana Tech University Department of Mathematics Statistics Ruston, LA 71272 University of Arizona California State University, Chico An Affirmative Action/Equal Opportunity Em Tucson, Arizona 85721. Chico, CA 95929-0525 ployer The University of Arizona is an Equal Oppor CSU, Chico is an EO/AA/IRCA employer. tunity1 Affirmative Action Employer.
ST. MARY'S COLLEGE XAVIER UNIVERSITY of California THE UNIVERSITY OF CINCINNATI, OHIO Mathematical Sciences RHODE ISLAND
Applications are invited for tenure track po One tenure-track assist. professorship, be Lecturer, Mathematics sitions in mathematics/computer science be ginning fall 1990. A Ph.D. and a commitment Teach three courses per semester, per ginning September 1990. Candidates must to both liberal arts education and continued form other duties as assigned by the de have an earned doctorate and a commitment research are expected of candidate to join partment chair. PhD in Mathematics (or near to teaching a variety of undergraduate math a young, growing department. Computer sci completion) required. Preference given to ap and C.S. courses within the framework of ence expertise is desirable. St. Mary's is a plicants who are current and active in areas a Jesuit liberal arts institution. The position coeducational college of over 3800 students, compatible with those of the department. One also requires advising majors and assisting located 10 miles east of Berkeley. Current or two year appointments. Submit a letter of in course and curriculum revision while con salary range is $28,786-$34,259. application, vita, and three reference letters tinuing a program of scholarly development. Send resume and 3 letters of recommen by February 20, 1990 to: Applications will be reviewed as they are re dation, at least 1 of which discusses teaching Barbara Kaskosz, Search Committee ceived and will be accepted until the positions ability, to Charles Hamaker, Chair, Dept. of Chair are filled. Send resume, transcripts and three Mathematical Sciences, P.O. Box 3517, St. Lecturer, Mathematics (020430) letters of reference to: D. C. Trunnell, Chair, Mary's College, Moraga, CA 94575. Evalu Position Mathematics & Computer Science, Xavier Uni ation of candidates will begin February 12, The University of Rhode Island versity, 3800 Victory Pkwy., Cincinnati, Ohio 1990, and continue until the position is filled. P.O. Box G 45207. Interviews will be held at the AMS meeting Kingston, Rl 02881 Equal Opportunity 1Affirmative Action Em in Louisville, KY, January 1990. An EOE/AA An Affirmative Action/Equal Opportunity Em ployer employer. ployer
JANUARY 1990, VOLUME 37, NUMBER 1 73 Classified Advertisements
POSITIONS AVAILABLE THE VIRGINIA MILITARY INSTITUTE UNIVERSITY OF COLORADO AT BOULDER Mathematics/Computer Science INSTRUCTORS-VISITING MISSISSIPPI STATE UNIVERSITY ASSISTANT PROFESSORS Department of Mathematics and Statistics Applications are invited for a tenure-track PROGRAM IN APPLIED MATHEMATICS position in the Mathematics and Computer Applications are invited for two or more an Science Department beginning August, 1990. The University of Colorado at Boulder has ticipated tenure-track or visiting positions for The applicant should have a strong interest made a substantial commitment to building a 1990-91. At least one of the positions will in teaching and participating in the contin preeminent program in applied mathematics. be in statistics and probably at least at the ued development of the computer science The program fosters interdisciplinary activities associate professor level. Candidates should degree program. VMI began offering a B.S. and exciting opportunities exist for interaction possess a doctoral degree, demonstrate a in computer science in 1987 and now has with various centers. strong potential for reseach, and have a com 57 students either as majors or minors. The Applications are invited for instructors or mitment to effective teaching. All areas are computer science laboratory contains a Data visiting assistant professor positions begin welcomed but preference will be given to the General MV /7800 with 20 terminals. VMI also ning in the fall of 1990. Preference will be following: for the mathematics position(s), has a Burroughs A9 and approximately 200 given to candidates with a research em applied mathematics, computational mathe IBM PC's for student and faculty use. phasis in any of the following three areas: matics, and partial differential equations; for Preference will be given to an applicant computational mathematics, physical applied the statistics position(s), multivariate anal with a Ph.D. in a computer-related field such mathematics, especially fluids and plasmas, ysis, non-parametric and robust inference, as Computer Science, Mathematics, Opera or nonlinear phenomena. categorical analysis, and linear and non-linear tions Research, or Management Information The Program, an interdisciplinary effort, models. Systems. If the degree is not in Computer includes faculty in computer science, engi The Department offers graduate programs Science, the applicant must have significant neering, mathematics, astrophysical sciences leading to the Master of Arts degree (M.A.) formal education or experience in Computer as well as other departments, institutes and and the Master of Science degree (M.S.) Science. Duties include teaching both mathe centers. in both mathematics and statistics and the matics and computer science courses. Salary The University of Colorado has a strong Doctor of Philosophy degree (Ph.D.) in mathe and rank are commensurate with degrees, institutional commitment to the principle of matical sciences. Facilities exist for applicants qualifications, and experience. diversity in all areas. In that spirit we are with interest in interdisciplinary research ef VMI is a quality undergraduate military col particularly interested in receiving applications forts and in particular for applicants with an lege of engineering, liberal arts, and science, from a broad spectrum of scholars including interest in the computational aspects of the with an enrollment of 1300 students, located women, members of ethnic minorities and mathematical sciences. in an attractive college town. Faculty wear disabled individuals. Applicants should send a curriculum vi uniforms but have no other assigned military Applicants should send a current curricu tae and arrange for three letters of recom duties. lum vitae, reprints, and three letters of rec mendation to be sent to: John R. Gilbert, The deadline for applications is March ommendation to Professor Mark J. Ablowitz, Chairman, Search Committee, Department of 1, 1990. Candidates should send resumes Director, Program in Applied Mathematics, Mathematics and Statistics, P.O. Drawer MA, with at least three references to Thomas Campus Box 426, University of Colorado, Mississippi State, MS 39762. The committee C. Lominac, Department of Mathematics and Boulder, CO 80309-0426. Applications are will begin to review applications on January Computer Science, Virginia Military Institute, due February 1, 1990. Applications for po 15, 1990, and continue until positions are Lexington, VA 24450 sitions remaining unfilled will be considered filled. Mississippi State University is an equal AA/EEO Employer. until April 15, 1990. EOE/ AA. opportunity /affirmative action employer.
COLLEGE PACIFIC LUTHERAN UNIVERSITY UNIVERSITY OF WYOMING POTSDAM Department of Mathematics Mathematics: Potsdam College of the State Tenure track position beginning September, York invites applications 1990. Teach 6 undergraduate courses per Invites applications for the following positions: University of New full-time tenure track, academic year. Ph.D. in mathematics, mathe One tenure-track position at the assistant for two positions, one in Math matical statistics or equivalent required. Must professor level in the area of functional one a full-time temporary position September 1, 1990. have commitment to quality teaching and analysis, numerical linear algebra, dynamical ematics commencing at most, 12 hours of scholarship. A one or two semester sabbatical systems theory, and algebraic/computational Responsibilities: Teach graduate math replacement position may also be available. combinatorics. undergraduate and beginning Ph.D. in Mathematics Send vita, college transcripts, 3 letters of rec Send resume and direct three letters of ematics. Qualifications: of A.B.D. will ommendation (with at least one commenting recommendation to: (any area). Near completion Send on teaching ability), and if possible, student Professor W. Bridges, Chairman be considered. Salary: Commensurate. tran teaching evaluations to James Brink, Chair, Mathematics Department letter of application, resume, graduate reference to: Dr. A. Department of Mathematics and Computer P.O. Box 3036 University Station scripts and 3 letters of Pots Science, Pacific Lutheran University, Tacoma, University of Wyoming Spencer, Department of Mathematics, 13676. Application Washington 98447. Applications accepted un Laramie, WY 82071-3036 dam College, Potsdam, NY 1990 and til Jan. 26, 1990 or until position(s) are filled. (307) 766-4222 review will commence February 1, position is filled. Potsdam Pacific Lutheran University embraces the goal Applications completed by January 31, 1990 continue until the opportuni of Equal Opportunity and Affirmative Action, will be given first consideration. The Uni College is committed to providing and actively and actively encourages applications from versity of Wyoming is an Equal Opportu ties for women and minorities AA women and ethnic minorities. nity/Affirmative Action Employer. seeks these candidates. EOE/
74 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Classified Advertisements
POSITIONS AVAILABLE UNIVERSITY OF COLORADO AT BOULDER ALMA COLLEGE FACULTY APPOINTMENTS WESTERN WASHINGTON UNIVERSITY PROGRAM IN APPLIED MATHEMATICS The Department of Mathematics and Com puter Science invites applications for a Applications are invited for tenure-track and The University of Colorado at Boulder has tenure-track position beginning Fall, 1990. visiting positions to begin Fall 1990. Success made a substantial commitment to building a Candidates should enjoy teaching a variety ful candidates will be expected to be active in preeminent program in applied mathematics. of undergraduate mathematics courses in a research, to interact at the research level with The program fosters interdisciplinary activities liberal arts environment and working with current department members, and to be good and exciting opportunities exist for interaction students on independent projects. A Ph.D. in teachers. A Ph.D. in Mathematics is required. with various centers and institutes in the area. Mathematics is required, excellence in teach Candidates are especially sought in the A number of faculty appointments are an ing is paramount, and the ability to teach following two areas, although outstanding ticipated over the next few years. Preference some computer science is preferred. candidates with other specialties will be con will be given to candidates at the Assistant Located in the center of lower Michigan, sidered: (1) Applied mathematics. (2) Mathe Professor level with a research emphasis in Alma College is a selective, private college matics Education. the area of computational mathematics. Ex known for the quality of its programs in the Rank and salary are open, but a sub ceptionally strong candidates at other levels sciences and the liberal arts. Alma is a mem stantial research record will be required for will be considered. Other areas of foci in the ber of the Undergraduate Science Group, a appointment above the Assistant Professor program are nonlinear phenomena and physi consortium of 50 liberal arts colleges with level. The normal teaching load for research cal applied mathematics, especially fluids and exceptionally strong science programs. The faculty is two courses per quarter. plasmas. Department of Mathematics and Computer Western Washington University is located Applicants are invited for tenure track Science comprises 8 full-time faculty and on Bellingham Bay in an area of outstand positions with appointments beginning fall, graduates 10 to 20 majors each year. The ing natural beauty within an hour's drive of 1990. normal teaching load is 6 courses per year; the Seattle and Vancouver, B.C. metropoli The University of Colorado has a strong faculty development is encouraged. Salaries tan areas and the Cascade Mountains. The institutional commitment to the principle of are competitive and fringe benefits are excel department has a strong undergraduate pro diversity in all areas. In that spirit we are lent. gram with a somewhat applied flavor and a particularly interested in receiving applications Applications from women and minorities flourishing Master's program with more than from a broad spectrum of scholars including are especially encouraged. Please send a twenty students. women, members of ethnic minorities and cover letter addressing scholarly interests, Applications should be sent to Professor disabled individuals. resume, graduate transcript, and three letters Thomas T. Read, Chairman, Department of Applicants should send a current curricu of recommendation including evaluation of Mathematics, Western Washington University, lum vitae and selected reprints to Professor teaching ability to Bellingham, WA 98225. Mark J. Ablowitz, Director, Program in Applied John Putz Interested candidates should submit a let Mathematics, Campus Box 426, University of Department of Mathematics and ter of application, complete transcripts, a vita, Colorado, Boulder, CO 80309-0426. Appli Computer Science and three letters of recommendation. Dead cations are due by February 1, 1990. Late Alma College line for applications is February 1, 1990; later applications will be considered for any po Alma, Michigan 48801 applications will be considered if positions sitions remaining unfilled on April 15, 1990. by February 2, 1990. Alma College is an remain available. Positions are subject to the EOE/AA. AA/EO employer. continuing availability of funds. The University is an EO/AA employer.
UNIVERSITY OF NORTHERN IOWA OCCIDENTAL COLLEGE VIRGINIA POLYTECHNIC INSTITUTE Science De AND STATE UNIVERSITY The Mathematics and Computer Occidental College, Los Angeles, California a new tenure MATHEMATICAL PHYSICS partment invites applications for 90041 has an opening for a full-time regular track position at the Assistant or Associate appointment beginning in September 1990. The Center for Transport Theory and Math Professor level from individuals with a strong Appointment is open to rank. Ph.D. and ex ematical Physics at Virginia Tech anticipates commitment to undergraduate teaching. Qual pertise in statistics required. Excellence in a number of openings for visitors during aca ifications include a doctorate in an area of teaching and quality research is expected. demic year 1990-91. Applications in all areas statistics, demonstrated success in colle Two courses (8 hours per week) per quarter of mathematical physics are invited for all giate teaching, and scholarly performance or of teaching except during the first year of ap or any parts of the year. There may also promise. To be assured of full consideration, pointment when only five courses are taught. be possibilities of tenure-track appointments. applications must be received by February Occidental is a selective four-year liberal arts Appointments may be made at any level, from 9. For complete announcement, contact Dr. college. Candidate will interact with social postdoctoral up. Please send a curriculum David Duncan, Head, Department of Math science students and faculty on matters of vitae and a short description of research ematics and Computer Science, University mutual interest. The college actively supports plans (for visiting positions only) and arrange of Northern Iowa, Cedar Falls, Iowa 50614. affirmative action. Applications from ethnic for three letters of recommendation to be Immigration status of non-U.S. citizens must minorities and women are strongly encour sent directly to Prof. P. F. Zweifel, Virginia be stated in applications. UNI is an equal aged. Interviews will be held at the January Polytechnic Institute and State University, opportunity educator and employer with a AMS meeting. Send resume and three letters CTTMP-212A Robeson Hall, Blacksburg, VA comprehensive plan for affirmative action. of recommendation (one about teaching) to 24061-0435, USA. VA Tech is an EO/AA em The university specifically invites and encour Statistics Search Committee, Department of ployer. Women and minorities are encouraged ages applications from minority persons and Mathematics, Occidental College, 1600 Cam to apply. women. pus Road by February 15, 1990.
JANUARY 1990, VOLUME 37, NUMBER 1 75 Classified Advertisements
POSITIONS AVAILABLE WAKE FOREST UNIVERSITY UNIVERSITY OF NORTHERN COLORADO The Z. Smith Reynolds Senior Position GMI ENGINEERING & Professorship in Mathematics MANAGEMENT INSTITUTE The Department of Mathematics & Applied FACULTY POSITION IN MATHEMATICS Wake Forest University announces the es Statistics is making mathematics education tablishment of a distinguished professorship reform a major emphasis. In this direction The Science and Mathematics Department of made possible by the Z. Smith Reynolds we have recently received approval for a GMI Engineering & Management Institute is Foundation. The scholar selected to fill this Ph.D. degree in Educational Mathematics. seeking to fill a tenure-track position in math position must have an established record of This program assumes that mathematical ematics at the level of Assistant Professor. recognized scholarship and a commitment to content is the pre-eminent concern in de Outstanding candidates may be considered teaching and research in a university setting. veloping educational strategies necessary for for appointment at the rank of Associate Pro Duties include teaching, continuing a program the improvement of mathematics education. fessor or the rank of tenured, Full Professor. of research, contributing to the intellectual The University is seeking an individual at GMI is a highly competitive private col life of the Department of Mathematics and the Associate/Full Professor level to help lege whose academic year starts July 1. The Computer Science, and fostering the mathe provide leadership in obtaining grants for Mathematics faculty consists of 14 full-time matical growth of gifted undergraduates. The the reform of teaching of mathematics. This members, who offer a wide range of under position, which carries both tenure and the individual would be expected to participate in graduate courses. The feasibility of initiating a rank of professor, could be filled as early as the continuing development of the new Ph.D. degree program in mathematics or computer the fall semester of 1990. in educational mathematics and to carry science is currently under investigation. Wake Forest University is a comprehen on an active scholarly program. Teaching The minimum requirements for this posi sive university with 5000 students, 3500 of assignment is negotiable. tion include an earned Ph.D. in mathematics whom are in the undergraduate college. The Applicants should possess a Ph.D. in math or a related field and evidence of strong Department of Mathematics and Computer ematics or a closely related field, a history of research and undergraduate teaching abili Science has 17 permanent positions, 13 of funded grants especially for research in the ties. Areas of expertise of special interest which are in mathematics, and offers majors teaching of mathematics, and a solid record include mathematics applied to engineering in mathematics and computer science and an of publications. Send a letter of application, disciplines, mathematics education, actuarial MA in mathematics. a candidate statement of U.S. citizenship or mathematics, and computer applications. Inquiries, nominations, and applications eligibility for U.S. employment, curriculum vi Please send resume, statement concerning should be directed to: tae, and three letters of recommendation to: current research interests, and three letters Professor Richard Carmichael, Chair Dr. Don Elliott, Search Committee Chair, De of reference to: Dr. J. J. Salacuse, Search Department of Mathematics and partment of Mathematics & Applied Statistics, Committee Chair, Science and Mathematics Computer Science University of Northern Colorado, Greeley, CO Department, GMI Engineering & Management P.O. Box 7311 80639. Institute, 1700 West Third Avenue, Flint, Michi Wake Forest University Initial screening will begin February 15, gan 48504-4898. Applications will be accepted Winston-Salem, NC 27109 USA 1990. Applications will be considered until until February 1, 1990 or until the position has Evaluation of applicants will begin in late the position is filled. UNC is an AA/EO been filled. winter and will continue until the position is Employer: This tenured/tenure-track position GMI is an Affirmative Action/Equal Oppor filled. AA/EO employer. is contingent upon State funding. tunity Employer.
UNIVERSITY OF NORTH VIRGINIA POLYTECHNIC INSTITUTE GOUCHER COLLEGE CAROLINA AT CHARLOTTE AND STATE UNIVERSITY MATHEMATICS AND COMPUTER DEPARTMENT OF MATHEMATICS, DEPARTMENT OF MATHEMATICS SCIENCE DEPARTMENT CHARLOTTE, NC 28223 We anticipate making several tenure-track ap Applications are invited for two tenure track Two tenure-track and one or more Visiting pointments at the assistant professor level positions at the Assistant Professor level be positions at Asstf AssocfFull Prof. level in or above beginning with the academic year ginning August, 1990. Qualifications include Mathematics and Statistics, and one senior 1990-1991. Very strong research potential is a Ph.D. in mathematics or computer science AssocfFull Prof. level in Math Education. Rank required for junior-level appointments and a and a strong commitment to and demon and salary depend on qualifications. A PH.D demonstrated outstanding record for senior strated excellence in undergraduate teaching. and a serious commitment to teaching and level appointments. A Ph.D. is required. Pri Responsibilities include a teaching load of research are required. Preferred specialties mary areas of interest are algebraic and 9-10 hrsfwk and continuing scholarly activity. are: Algebra, Analysis, Applied Mathematics, differential geometry, discrete mathematics, Goucher is a select, private, coeducational, Math Education, Statistics, but strong candi dynamical sy!llems, and computationally ori liberal arts college located eight miles north dates in all areas are encouraged to apply. ented mathematics. Exceptional candidates in of Baltimore and is convenient to Washington, Also possible are lecturer positions (one or other areas will be considered. Applications D.C. The selection process will begin Jan., two year renewable; MA/MS required). Send will be accepted until March 15, 1990, or 1990. Goucher is an EOE. Send vita and three vitae, list of four references, and abstracts of until the positions are filled. Applicants should letters of recommendation to: current research to Prof. Hae-Soo Oh at the send vita and three letters of reference to: Dr. Joan S. Morrison above address. Closing date: Feb. 2, 1990, Chairman, Search Committee, Department of Chair of the Mathematics and but applications will be considered until the Mathematics, Virginia Tech, Blacksburg, VA Computer Science Department positions are filled. 24016-0123. Women and minorities are en Goucher College UNCC IS AN AFFIRMATIVE ACTION/ couraged to apply. Virginia Tech is an Equal Towson, MD 21204 EQUAL OPPORTUNITY EMPLOYER Opportunity1 Affirmative Action Employer.
76 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Classified Advertisements
POSITIONS AVAILABLE HOBART AND WILLIAM SMITH COLLEGES RICE UNIVERSITY Department of Mathematics Mathematical Sciences Department CARTHAGE COLLEGE and Computer Science P.O. Box 1892, Houston, Texas 77251
Carthage will make a tenure-track appoint Assistant Professor, tenure track position Applications are invited for a tenure-track ment to a generalist in mathematics who has starting in September 1990. Salary is com assistant professor position to start August, an emphasis in statistics or analysis, and petitive. Applicants should have a Ph.D. in 1989 in energy and environmental applications whose primary commitment is undergraduate computer science or a Ph.D. in mathematics of mathematics. Applicants should demon teaching. The College also encourages, and and experience in computer science. Duties strate both breadth of interest and promise will support, research and active engagement include teaching undergraduate computer sci in research and teaching. We especially in in professional activities. ence, teaching some mathematics (depending vite applications in numerical linear algebra, Carthage is experiencing growing enroll on interests and qualifications), and partici mathematical programming, and numerical ments and rising test scores in the entering pating in the Colleges' Interdisciplinary Gen solutions of partial differential equations. classes. The College will need to make a eral Curriculum. A strong commitment to Rice University is a private research uni number of new faculty appointments in the teaching and promise of continued scholarly versity with a long tradition of excellence near future. Carthage seeks someone will activity required. Teaching load: two courses in undergraduate science and engineering ing to participate imaginatively in developing per trimester. Hobart and William Smith are education. The Mathematical Sciences De the curriculum and in shaping the future of coordinate, four year, liberal arts colleges, partment also hosts an active and expanding mathematics and the natural sciences at the committed to teaching and interdisciplinary graduate program, has superb computing fa College. study with a combined enrollment of 1900 cilities and ongoing research in Operations Located on the shores of Lake Michigan students. Within an hour's drive are three Research, Computational Mathematical Pro between Chicago and Milwaukee, Carthage major universities: Cornell, Rochester, and gramming, and Optimal Design and Inverse offers easy access to major urban areas. To Syracuse. Problems for Partial Differential Equations. taling almost 2000 full and part-time students, Send detailed resume, three letters of The department has excellent relations with the student body is drawn primarily from the recommendation (at least one including com other departments at Rice and the University Midwest but includes students from more ments on teaching), and undergraduate and of Houston, with industrial and governmental than twenty states and a variety of foreign graduate transcripts (photocopies accept research groups, and is actively involved in countries. able) to: Prof. David Eck, Department of the Center for Research in Parallel Computa Salary and benefits are competitive, based Mathematics and Computer Science, Hobart tion which is funded by the NSF Science and on academic credentials and experience; we and William Smith Colleges, Geneva, NY Technology Centers program. will be interviewing at the Louisville meetings. 14456. Evaluation of applications will begin Please furnish vita, transcripts, reprints, Please send nominations and applications, January 15, 1990 and will continue until the and three letters of recommendation to J. with a current curriculum vitae, to Charlotte position is filled. Women and minorities are E. Dennis, Chair, Staffing Committee. Rice J. Chell, Chair, Department of Mathematics, encouraged to apply. An Equal Opportu University is an Affirmative Action/Equal Op Carthage College, Kenosha, WI 53140-1994. nity1 Affirmative Action Employer. portunity Employer. EOE/AA
UNIVERSITY OF PITTSBURGH THE UNIVERSITY OF ALABAMA UNIVERSITY OF CALIFORNIA Department of Mathematics and Statistics MATH FACULTY POSITIONS SANTA BARBARA Department of Mathematics The following positions are expected, subject The department expects to fill from two to to funding approval: five tenure track positions at the rank of As Applications are invited for a ladder-position 1. Specialist in applied mathematics with sistant Professor or possibly at a higher rank at the Assistant Professor level in the area emphasis on scientific computing. beginning August 16, 1990. Areas of special of nonlinear partial differential equations, in 2. A position in pure mathematics. We interest are: algebra, analysis, fluid mechan cluding the numerical and applied aspects are interested particularly in algebraic topol ics, computational mathematics, differential thereof. Salary will depend upon qualifica ogy, algebra, and analysis, but outstanding equations, differential geometry, optimization, tions. Appointment will be effective July 1, applicants in any field will be considered. stochastic modeling, and topology. Applicants 1990. Candidates must possess the Ph.D. de The rank is open on each position. Require for Assistant Professor should have or rea gree or equivalent. Strong evidence of com ments include outstanding research accom sonably expect to have by August 16, 1990 mitment to teaching and outstanding promise plishment or potential. Excellence in teaching a Ph.D. or the equivalent. Excellence in both in research is required. To apply send vita is also essential. teaching and research is required. An estab and publication list, and arrange to have Junior applicants should send a resume lished record of research and leadership in 3 letters of recommendation sent to: POE and arrange to have at least three letters one of the areas described above is expected Search Committee, Department of Mathemat of recommendation sent to: Stuart Hastings, of applicants for a senior position. We also in ics, University of California, Santa Barbara, Department of Mathematics and Statistics, vite applications for visiting positions. Women CA 93106. Deadline to apply is January 15, University of Pittsburgh, Pittsburgh, PA 15260. and minorities are particularly encouraged 1990. Senior applicants should write directly to the to apply. Send a curriculum vitae, reprints UCSB is an Equal Opportunity 1Affirm same address. and/or preprints, and at least three letters ative Action Employer. Proof of U.S. citi The University of Pittsburgh is an equal op of recommendation to: Search Committee, zenship or eligibility for U.S. employment will portunity /affirmative action employer. Women Department of Mathematics, The University be required prior to employment (Immigration and minorities are especially encouraged to of Alabama, Box 870350, Tuscaloosa, AL Reform and Control Act of 1986). apply. 35487-0350. UA is an AA/EOE.
JANUARY 1990, VOLUME 37, NUMBER 1 77 Classified Advertisements
POSITIONS AVAILABLE MISSISSIPPI STATE UNIVERSITY GRAND VALLEY STATE UNIVERSITY ADVERTISEMENT ALLENDALE, MICHIGAN TRINITY COLLEGE Position Announcement Hartford, CT Head, Department of Computer Science Four tenure-track positions are open in the Department of Mathematics and Com The Department of Mathematics at Trinity Mississippi State University invites applica puter Science beginning Fall, 1990. Preferred College invites applications for one tenure tions and nominations for the position of specialities are: Math Education, Statistics, track position and for one or more visiting head of the Department of Computer Sci Computer Science, and Information Sys positions, which will begin in the academic ence. A successful candidate must have (1) tems. Earned doctorate and strong teach year 1990-91. The normal teaching load is an earned doctorate in computer science or ing recommendations are required. Duties five semester courses per year ("3/2"). Rank related field, an (2) faculty experience in a include teaching undergraduate and/or grad and salary are open, and dependent on doctoral granting program. In addition, can uate courses, student advising and profes qualifications. Specialization is also open. didates should have demonstrated leadership sional development. Requirements for the positions: Ph.D. in and a successful record of teaching, research, The Grand Valley campuses are located mathematics, evidence of teaching excellence and grant procurement. The appointment will in greater Grand Rapids, the second largest at the undergraduate level, and (for the be at the rank of professor with a highly metropolitan area in Michigan, offering nu tenure-track job} indications of promise in competitive salary. The anticipated starting merous cultural and recreational opportuni research. date is July 1, 1990. ties. Cost of living is moderate and quality Applicants should send a c.v., three letters As one of the 100 largest research univer of life is high. Send resume and three let of reference (at least one of which speaks sities (expenditures) in the country and the ters of recommendation by February 1 to: directly to teaching experience}, and a state largest university in the state, MSU offers a Search Committee, Mathematics and Com ment of teaching and research interests to broad range of undergraduate and graduate puter Science Dept., GVSU, Allendale, Ml Search Committee Chair programs. The Department of Computer Sci 49401. Applications will be accepted until Dept. of Mathematics ence offers a CSAB-accredited undergraduate positions are filled. GVSU is an EO/AAI. Trinity College program and graduate study leading to the Hartford, CT 06106 MCS, MS and PhD degrees. In cooperation by February 1, 1990. with· electrical engineering, the department Representatives of the department will also offers programs of study leading to the attend the Employment Register at the joint BS and MS degrees in computer engineering. THE UNIVERSITY OF Annual Meetings in Louisville in January, Screening of candidates will begin Febru NEW MEXICO 1990. ary 15, 1990 and will continue until the Albuquerque, New Mexico Applicants will be considered for both the position is filled. Nominations and applica Department of Mathematics and Statistics tenure-track and visiting positions unless they tions with curriculum vita should be sent specify otherwise. to: Dr. George S. Rent, Chairperson, Search The Department expects to have four tenure beginning in the Fall Trinity College is an Equal Opportu Committee for Head of Computer Science, track positions available, nity/Affirmative Action employer. Women and College of Arts and Sciences, P.O. Box AS, Semester, 1990. We are particularly inter at the assistant professor members of minority groups are especially Mississippi State, MS 39762. MSU is an equal ested in candidates encouraged to apply. opportunity affirmative action employer. level with postdoctoral experience, but we will consider outstanding applicants at all levels. Candidates must have a strong re ALLEGHENY COLLEGE search record or outstanding potential and a Mathematics Department commitment to excellence in teaching. Meadville, PA 16335 NORTHWESTERN UNIVERSITY The Department of Mathematics and Sta MATHEMATICS DEPARTMENT tistics currently has 40 faculty members and Receiving applications for a tenure-track po 2033 Sheridan Road an active and expanding graduate program. sition beginning September 1990. Applicants Evanston, Illinois 60208-2730 The Department has close research ties with should have a Ph.D. in mathematics, com Los Alamos and Sandia National Laborato mitments to the teaching of undergraduate The Mathematics Department invites applica ries, and access to major computing facilities. students and to continued professional de tions for a tenure-track position at the level Joint appointments with other departments velopment. Rank and salary are competitive of Assistant Professor from mathematicians are possible. and commensurate with qualifications and ex with strong research interests. Preference Review of applications will begin January perience. Fringe benefits include TIAA-CREF, will be given to those areas which com 15, 1990, and will continue until the positions health and life insurance, full tuition benefits plement the present department strengths. are filled. All exceptionally strong candidates, for family, and personal computers in faculty Applications should include a curriculum vi especially women and minority group mem offices. tae (including a list of publications) and the bers, are urged to apply. Please have vitae Screening of applicants will begin January applicant should have three reference letters and three letters of reference sent to: 4 and continue until the position is filled. sent to the Chairman, Personnel Commit Professor Robert Cogburn, Chair Send application, vita, graduate transcripts, tee, Department of Mathematics, Northwest Hiring Committee and three letters of recommendation to Dr. ern University, Evanston, Illinois 60208-2730. Dept. of Mathematics & Statistics Ronald Harrell, Search Committee Chairman. Northwestern University is an Affirmative Ac The University of New Mexico Early applicants should also indicate whether tion/Equal Opportunity employer. Hiring is Albuquerque, NM 87131 they plan to attend the Joint Mathematics contingent upon eligibility to work in the THE UNIVERSITY OF NEW MEXICO IS AN Meetings in Louisville, KY. Allegheny College United States. AA/EOE. is an Equal Opportunity Employer.
78 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Classified Advertisements
POSITIONS AVAILABLE CITY COLLEGE OF CUNY DARTMOUTH COLLEGE John Wesley Young POMONA COLLEGE The Department of Mathematics anticipates Research Instructorship CLAREMONT, CA 91711 making one or more tenure track appoint ments beginning Fall 1990 at the Assis The John Wesley Young Research Instructor Pomona College invites applications for a tant or Associate Professor level depending ship is a two year post-doctoral appointment tenure track Assistant Professorship in the upon qualifications. Significant achievements for promising new or recent PhD's whose re mathematical sciences beginning in the fall or outstanding potential in research and evi search interests overlap a department mem of 1990. The Ph.D. and demonstrated excel dence of excellence in teaching are required. ber's. Current departmental interests include lence in teaching and research are required. Preference will be given to candidates with at areas in algebra, analysis, algebraic geome Must have a strong commitment to high qual least one year of postdoctoral experience. try, combinatorics, computer science, differ ity teaching in a variety of undergraduate Applications are especially invited in fields ential geometry, logic and set theory, number courses and contributing to the mathematical targeted by the department for development. theory, probability and topology. Teaching life of our department. Preference will be These include combinatorics, mathematics of duties of four ten-week courses spread over given to strong candidates in statistics and computation, modeling, and applied mathe two or three quarters typically include at least applied mathematics. Pomona College, the matics. Successful candidates will be encour one course in the instructor's specialty and founding member of The Claremont Colleges, aged to interact with active doctoral programs include elementary, advanced and (at instruc offers the opportunity to teach intellectually in the sciences, engineering, and computer tor's opinion) graduate courses. Nine-month gifted undergraduates in a small liberal arts science. Exceptional candidates in other ar salary of $31 ,000 supplemented by sum college while participating in a mathemati eas will also be considered. Women and mer (resident) research stipend of $6,889 cally active intercollegiate community of over minority candidates are particularly encour (two-ninths). Send letter of application, re 30 mathematicians, with clinics in applied aged to apply. sume, graduate transcript, thesis abstract, mathematics and statistics. Submit applica The closing date for applications is Febru description of other research activities and tions, including resume, transcripts and letters ary 1 , 1990 but applications will be consid interests if appropriate, and 3 or prefer evaluating teaching and research capabilities ered until the position(s) are filled. Applicants ably 4 letters of recommendation (at least by January 31, 1990, to The Search Com should send a resume, including a brief de one should discuss teaching) to Richard E. mittee, Department of Mathematics, Millikan scription of current research interests, and Williamson {Recruiting), Department of Math Laboratory, Pomona College, Claremont, CA have three letters of reference sent to: and CS, Bradley Hall, Hanover, NH, 03755. 91711-6348. Applicants who will attend the Professor Jack Barshay, Chairman Applications received by Jan. 15 receive first AMS January Meeting in Louisville should Department of Mathematics consideration; applications will be accepted so indicate in their application letter prior The City College of CUNY until position is filled. Dartmouth College is to January 3. Pomona College is an af Convent Ave. at 138th Street committed to affirmative action and strongly firmative actionfequal opportunity employer New York, New York 10031 encourages applications from minorities and and encourages applications from minority An AA/EEO Employer M/F/H/V women. EOE/ AA. candidates and women.
UNIVERSITY OF SOUTH CAROLINA ROLLINS COLLEGE UNIVERSITY OF CALIFORNIA Department of Mathematics Department of Mathematical Sciences LOS ANGELES Winter Park, FL 32789 Department of Mathematics Applications are invited for anticipated tenure track faculty positions at all ranks. Applica At least one and perhaps two visiting posi REGULAR POSITIONS IN tions in all areas of mathematics will be tions are available for September, 1990. The PURE AND APPLIED MATHEMATICS considered. The Department is building on approved position is a two-year appointment Four to six regular positions in pure and existing research strengths and is increas with renewal possible and the other is a applied mathematics. Areas of specific inter ing the scope of its program in applied and one-year sabbatical replacement. The area of est include logic; algebra, algebraic geometry, computational mathematics. Faculty research specialization is open. A Doctorate or ABO is number theory and combinatorics; geometry is supported by excellent departmental library preferred, but a masters with teaching experi and topology; analysis, functional analysis, and high-performance computing facilities. ence will be considered. A strong commitment mathematical physics and dynamical sys The Ph.D. degree or its equivalent is required, to teaching undergraduates is required. The tems; probability, statistics and game theory; and all appointments will be consistent with Department offers majors in mathematics and linear and non-linear differential equations; the Department's commitment to excellence computer science, is currently engaged in applied mathematics, numerical analysis and in research and teaching at the undergradu a calculus renewal project {funded by NSF) mathematical computer science. Very strong ate and graduate levels. A resume, containing and is well-equipped with Macintosh II com promise in research and teaching required. a summary of research accomplishments and puters. The teaching load is 8-10 hours per Positions initially budgeted at the assistant goals, and four letters of recommendation week. Winter Park, a delightful city of 40,000, professor level. Sufficiently outstanding candi should be sent to: is located in the greater Orlando area. To dates at higher levels will also be considered. Dr. Colin Bennett, Chairman ensure full consideration, applications must Teaching load: Averaging 1.5 courses per Department of Mathematics be complete by 15 Feb 1990. Send resume, Quarter, or 4.5 Quarter courses per year. University of South Carolina transcripts and three letters of recommenda To apply, write to Alfred W. Hales, Chair, Columbia, South Carolina 29208 tion (at least one of which must comment Department of Mathematics, University of The closing date for applications is January on teaching) to: David Kurtz, Chair. Rollins California, Los Angeles, CA 90024-1555. Attn: 31, 1990. The University of South Carolina College is an affirmative actionfequal oppor Staff Search. is an Affirmative Action/Equal Opportunity tunity employer and women and members of UCLA is an equal opportunity/affirmative Employer. minority groups are encouraged to apply. action employer.
JANUARY 1990, VOLUME 37, NUMBER 1 79 Classified Advertisements
POSITIONS AVAILABLE DARTMOUTH COLLEGE UNIVERSITY OF CALIFORNIA, RIVERSIDE TEMPORARY AND VISITING UNIVERSITY OF MANITOBA Senior Position in Mathematics. Associate APPOINTMENTS Department of Mathematics and Astronomy or Full Professor position available beginning IN MATHEMATICS AND in 1990-91. Candidates should have estab COMPUTER SCIENCE invites applications for two tenure-track ap lished and recognized research program, pointments at the Assistant Professor level, proven ability to attract external research Subject to final budgetary approval, the De effective July 1, 1990. Salary commensurate support, and interest in building and lead partment of Mathematics and Computer Sci with qualifications and experience. Ph.D. com ing a strong research group. Appointee will ence anticipates being able to make several pleted or near completion required. Applicants participate in the recruitment for several ju one-year temporary and/or visiting appoint must have proven ability or demonstrated po nior positions. Proven record of excellence ments for 1990-91. Depending on the duties tential for both research and teaching. The in teaching at both the undergraduate and assigned and the qualifications of candidates, Department is primarily interested in adding graduate levels and commitment to profes the rank will be that of Lecturer or Visiting to its expertise in analysis, but it also has an sional interaction with faculty and Ph.D. stu Assistant Professor. Salaries are competitive. interest in the fields of differential geometry, dents required. Applications are welcome in All areas of expertise will be considered. A discrete mathematics, foundations, number all fields of mathematics. Department has commitment to excellent teaching and instruc theory, algebraic topology. The successful special interests in algebra, combinatorics, tional experience are required. Successful candidates will be expected to teach classes geometry /topology, and probability ;statistics. candidates will be expected to have the Ph.D. at both the undergraduate and graduate lev Dartmouth provides grants to new faculty in hand at the time of appointment. Minority els. members for research-related expenses, a and women candidates are particularly urged Both women and men are encouraged to generous sabbatical program, and moderate to apply. apply. In accordance with Canadian immi teaching loads. The review of applications Applications consisting of a curriculum vita, gration requirements priority will be given to will begin on January 1, 1990. Send a letter a statement of interests, and three letters of Canadian citizens or permanent residents. of application, a curriculum vitae, the names reference should be submitted by April 1, Applicants should send a curriculum vitae of four people who have agreed to write 1990 to ensure consideration and should be to the address below. In addition 3 refer letters of recommendation, and a description addressed to: ees should be requested to send letters of research interests to: Mathematics Se Professor Albert R. Stralka of reference directly to: PROFESSOR LYNN nior Search Committee Chair, Department of Chair, Department of Mathematics BATIEN, HEAD, DEPARTMENT OF MATH Mathematics and Computer Science, Bradley and Computer Science EMATICS AND ASTRONOMY, UNIVERSITY Hall, Dartmouth College, Hanover, NH 03755. University of California, Riverside OF MANITOBA, WINNIPEG, MANITOBA, R3T Dartmouth is firmly committed to Affirmative Riverside, CA 92521 2N2. Action and strongly encourages applications UCR is an equal opportunity I Affirmative Ac The deadline for applications is FEBRUARY from minorities and women. tion employer. 16, 1990.
THE UNIVERSITY OF CALIFORNIA STATE UNIVERSITY UNIVERSITY OF CALIFORNIA ALABAMA AT BIRMINGHAM SAN BERNARDINO AT RIVERSIDE DEPARTMENT OF MATHEMATICS DEPARTMENT OF MATHEMATICS Faculty Position in Mathematics Applications are invited for one or more antici Applications are being accepted for the posi Applications and nominations are invited for a pated tenure or tenure-track positions. Prefer tion of Assistant Professor or Associate Pro tenured or tenure track position in Geometric ence will be given to strong candidates whose fessor (tenure-track); a Ph.D. in mathematics Analysis beginning July 1, 1990 or later. The research interests are compatible with those or mathematics education with at least a position is open as to rank; candidates at all of our current faculty; this includes numeri bachelor's degree in mathematics is required. levels and in all areas of geometric analysis cal POE/Scientific computation, mathematical Successful candidates will be expected to will be considered. Demonstrated excellence physics, partial differential equations, nonlin teach twelve hours per week, participate in research and teachng is required. The eligi ear analysis, dynamical systems, including in scholarly activities, and help implement bility pool for this position will consist of those topological dynamics, and differential geom a new MAT program. Current salary range candidates for whom we receive a vita, a list etry. Faculty members have access to the is $28,884-$50,472 dependent upon qualifi of publications and three letters of recom Alabama Super Computer (using a Sun Sta cations and experience. Applicants should mendation by January 22, 1990. Established tion and a T-1 line to a Cray X-MP/24). Rank submit a letter of application, vita, three let criteria of the University of California deter and salary will be subject to qualifications, ters of recommendation and all transcripts. mine salary and rank. Candidates shouuld but applicants for senior positions must have Applications received after February 1, 1990, send a curriculum vita, a list of publications demonstrated excellence in research, while cannot be guaranteed consideration. Materi and the names of at least three references to applicants for junior positions must exhibit als should be sent to: Professor Bun Wong, Chair the promise of excellence. Send as soon as Dr. John Sarli Geometric Analysis Hiring Committee possible a curriculum vita, selected reprints, Chair, Department of Mathematics Department of Mathematics and and three letters of reference (candidates California State University Computer Science for senior positions may choose to submit a 5500 University Parkway University of California list of references instead) to Search Commit San Bernardino, California 92407 Riverside, California 92521 tee, Department of Mathematics, University AN EQUAL OPPORTUNITY/AFFIRMATIVE University of California is an Affirmative Ac of Alabama at Birmingham, Birmingham, AL ACTION, SECTION 504, TITLE IX EMPLOYER tion/Equal Opportunity Employer. 35294. UAB is an Affirmative Action/Equal Opportunity Employer.
80 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Classified Advertisements
POSITIONS AVAILABLE UNIVERSITY OF CALIFORNIA UNIVERSITY OF CENTRAL FLORIDA MATHEMATICS DEPARTMENT Department of Mathematics THE UNIVERSITY OF OKLAHOMA SANTA CRUZ, CA 95064 Applied Non-Linear Analysis Applications are invited for at least five Applied Mathematics The Mathematics Department at the Univer tenured track and visiting positions at As Position (CAPS) Related sity of California, Santa Cruz expects to have sociate, Assistant Professor or instructor several visiting positions available during the level beginning in August 1990. Ph.D. degree The University of Oklahoma seeks a (tenure academic year 1989-90 and invites appli with strong research potential or experience track) Assistant Professor (or higher) with a cations from qualified mathematicians in all and dedication to teaching required for ap speciality in Applied Non-Linear Analysis. A fields. Appointments will be made as Visiting pointment at Associate or Assistant Professor Ph.D. in Mathematics is required. Expertise Assistant, Associate or Full Professor, as ap level. Candidate with substantial completion of in fluid dynamics and numerical and com propriate. Visitors will be expected to teach, Ph.D. requirements will be considered for the putational experience are desirable. Potential pursue their research, and perform some de instructor level. The positions are unrestricted for excellence in mathematics teaching and partment or university service. Such positions as to area of specialization within mathemat research is required. Competitive Salary. are available for periods ranging from one ical sciences. For one of the tenured track This position is expected to contribute to quarter to the full academic year, with a possi positions preference will be given to those the mathematical support of the Center for the ble extension to a second year. There is also with research interests in numerical analysis, Analysis and Prediction of Storms, A Science a possibility that visitors will be able to stay computational mathematics or related applied and Technology Center at the University of on to do summer school teaching following fields. Candidate should send a detailed re Oklahoma funded by the National Science the academic year. Preference will be given sume and arrange to have at least three Foundation. to those who can teach for the entire aca letters of recommendation and a transcript Applicants should send a letter of ap demic year. Applicants must hold the Ph.D. in sent to: Dr. Lokenath Debnath, Department of plication, a complete vita, and have three Mathematics. University teaching experience Mathematics, University of Central Florida, Or letters of reference sent to: Andy R. Magid, desired. Applicants should send vitae, three lando, Florida 32816, postmarked by February Chair, Applied Analysis Search Committee, letters of reference speaking of the appli 2, 1990. Some Search Committee members Department of Mathematics, University of cant's teaching and research experience to: will be available at the Louisville meeting in Oklahoma, 601 Elm, Room 423, Norman, Recruiting Committee, Mathematics Depart January 1990 for an interview. The Univer Oklahoma 73019-0315. Closing date for ap ment, University of California, Santa Cruz, sity is an equal opportunity affirmative action plications is December 20, 1989 and every CA 95064. Closing Date: February 1, 1990. employer. As an agency of the State of two weeks thereafter until the position is Please refer to #T89-14 in your reply. UCSC Florida, UCF makes all application materials filled. The University of Oklahoma is an Equal is a SAA/EOP/IRCA/EOE/AA employer. and selection procedures available for public Opportunity1 Affirmative Action Employer. review.
THE UNIVERSITY OF WEST FLORIDA WEST VIRGINIA UNIVERSITY THE UNIVERSITY OF OKLAHOMA Department of Mathematics Department of Mathematics Applications are invited for three tenure-track positions beginning Fall, 1990. Two positions The Department of Mathematics intends to Applications are invited for one or more are at the assistant professor rank, one will make several faculty appointments that will positions at the Assistant Professor level be at the associate or assistant professor commence August 1990. Appointments are (or higher) in Mathematics beginning Fall rank. The Ph.D. is required for all positions. expected to be made at the Assistant or 1990. Candidates must have a Ph.D. de Areas of specialization needed are applied Associate rank. Candidates are expected to gree, demonstrated excellence in research, mathematics (computational mathematics and have a PhD in mathematics or equivalent with and potential for high-quality teaching. Strong applications andjor operations research} and a strong record or demonstrated potential in candidates in all areas will be considered, statistics (applied statistics, statistical qual both research and teaching. Preference will be with preference given to research interests ity control andfor operations research). One given to applicants whose research interests compatible with those of our current faculty. position is reserved for a candidate with ex complement those currently in the Depart Duties include research, normally teaching six pertise in operations research. A record of ment in algebra, analysis, applied or numer credit hours per semester, and Departmental excellent teaching and research is required ical analysis, discrete mathematics. Normal and University service appropriate to rank. for the associate professor rank. Applications responsibilities include research and a two Salary and rank will be commensurate with from minorities and women are especially en course teaching assignment per semester at qualifications and experience. There may also couraged. Duties normally consist of teaching the graduate or undergraduate level. Appli be visiting positions. Applicants should send three courses per semester (9-10 hours), cations and inquiries should be directed to their vita and have at least three letters of ref advising, research, and service. Persons in James Lightbourne, Department of Mathe erence sent to Dr. Ruediger Landes, Search terested in applying for one of these positions matics, West Virginia University, Morgantown, Committee Chair, Department of Mathemat should send a vita and arrange for three let WV 26506. Applicants should submit a vita ics, University of Oklahoma, 601 Elm, Room ters of reference to Dr. Shawky E. Shamma, and have three letters of reference sent ( se 423, Norman, Oklahoma 73019-0315. Initial Chairman, Search Committee, Department of nior applicants may choose to submit names screening begins December 15, 1989 and Mathematics and Statistics, The University of of references). Applications will be reviewed every two weeks thereafter. Applications will West Florida, Pensacola, FL 32514. Screening beginning January 15, 1990. WVU is an af be accepted until the position(s) are filled. begins February 1 , 1990. firmative actionjequal opportunity employer. The University of Oklahoma is an Affirmative An affirmative actionjequal opportunity em Qualified women and minorities are especially Action/Equal Opportunity Employer. ployer. encouraged to apply.
JANUARY 1990, VOLUME 37, NUMBER 1 81 Classified Advertisements
POSITIONS AVAILABLE UTAH STATE UNIVERSITY UTAH STATE UNIVERSITY Department of Mathematics and Statistics Department of Mathematics and Statistics MURRAY STATE UNIVERSITY Department of Mathematics & Statistics Applications and nominations are invited for Applications and nominations are invited for tenured or tenure-track positions in mathe tenured or tenure-track positions in nonlinear Applications are invited for tenure-track po matics and statistics beginning September, partial differential equations and/or dynam sitions at the Assistant/ Associate Professor 1990. Applications in all areas and at all ranks ical systems, beginning September, 1990. level beginning August 1990. Preference will will be considered. Applications for all ranks will be considered. be given the applicants in statistics, numeri Excellence in research and a demonstrated Excellence in research and a demonstrated cal analysis, and mathematics education, but commitment to both graduate and undergrad commitment to both graduate and undergrad candidates in all areas of mathematics will be uate teaching are sought. Successful appli uate teaching are required. Successful appli considered. cants in applicable areas will be expected cants will be expected to interact with the Responsibilities will include a maximum to interact with the mathematics, statistics applied science faculty at USU, as well as three course teaching load of a wide variety and applied science faculty at USU. The abil colleagues in mathematics and statistics. The of undergraduate and graduate level courses, ity to provide broad scholarly leadership is ability to provide broad scholarly leadership continuing research/scholarly activities, and essential for senior-level applicants. is essential for senior-level applicants. university/departmental service. A Ph.D. in Utah State University, located in the Utah State University, located in the mathematics or statistics is required or ex Wasatch Range of the Rocky Mountains, Wasatch Range of the Rocky Montains, offers pected before the starting date. Salary will be offers competitive salaries and excellent med competitive salaries and excellent medical, re competitive. Screening will begin February 1, ical, retirement and professional benefits. tirement and professional benefits. 1990 and continue until positions are filled. Applications, including resume and three Applications, including resume and three Applicants who are not U.S. citizens must letters of reference, should be submitted to: letters of reference, should be submitted provide their visa status and any other in Search Committee, Department of Mathe to: Michael P. Windham, Search Committee, formation relevant to their ability to accept matics and Statistics, Utah State University, Department of Mathematics and Statistics, employment. Send letter of application with Logan, UT 84322-3900. Preference will be Utah State University, Logan, UT 84322- vita, graduate transcript or list of courses, given to applications completed by January 3900. Preference will be given to applications and direct three letters of recommendation to: 31, 1990, but all will be considered until completed by January 31, 1990, but all will be Screening Committee available positions are filled. considered until available positions are filled. Department of Mathematics & Statistics Utah State University is an equal opportu Utah State University is an equal opportu Murray State University nity /affirmative action employer. nity/affirmative action employer. Murray, Ky. 42071 MSU is an EO/AA employer.
CASE WESTERN RESERVE UNIVERSITY DEPARTMENT OF MATHEMATICS AND UNIVERSITY OF CALIFORNIA STATISTICS SANTACRUZ AUBURN UNIVERSITY DEPARTMENT OF ALGEBRA, Tenure-track, possibly senior, positions antic The Mathematics Department at the Univer Santa Cruz is recruiting for a COMBINATORICS AND ANALYSIS ipated to beging August 15, 1990. Outstand sity of California, analysis/differential ge ing research record and/or proven research position in nonlinear the Assistant (tenure-track), The department expects to make two tenure potential and teaching excellence required. ometry, at either Full Professor (tenured) level. track appointments at the rank of assistant Preferred areas: Statistics and Probability. Associate or in the range of $33,900-$36,600 professor beginning September 1990. One The recently established CWRU Center for Salary will be (Assoc. Prof.), position is in any area of probability theory. Stochastic and Chaotic Processes in Sci (Asst. Prof.), $40,400-$45,200 (Full Prof.), effective July 1, One position is in combinatorics with prefer ence and Technology will provide an es $48,500-$69,400 load is 4 one-quarter ence given to candidates in coding theory or pecially friendly environment for probabilists 1990. The teaching a cryptography. doing theoretical research motivated by seri courses per year. Minimal qualification is in math. Candidates at Some temporary one-year appointments ous applications. Interacting particle systems, Ph.D. or equivalent are expected to have an at the rank of assistant professor are also stochastic control, population genetics, ran the tenure level strong research record as well expected for September 1990. For these, dom media and infinite dimensional stochastic exceptionally research interests compatible with current processes (Malliavin calculus and stochas as a solid teaching record. Candidates at faculty in algebra, analysis, combinatorics, tic P.D.E.) are good examples here. The the untenured level should demonstrate the differential equations, linear algebra or prob statisticians are expected to work within an potential for such. Applicants should send teaching and research record ability desired. autonomous Applied Statistics unit. Women vita, including Excellence required in both teaching and and minority groups candidates are especially (indicating at which level you wish to be four letters of recommenda research for all positions. Send resume and encouraged to apply. Visiting positions also considered), and arrange for at least three letters of recommen possible. Send vita plus three letters of rec tion to: Recruitment Committee, Mathematics dation to be sent to James Wall, 120 Math ommendation to Professor W. A. Woyczynski, Department, University of California, Santa Closing Date: February Annex, Auburn University, AL 36849-5307. Chairman, Department of Mathematics' and Cruz, CA 95064. Minorities and women are encouraged to Statistics. Case Western Reserve University, 1, 1990. Please refer to #36-856 in your apply. AUBURN UNIVERSITY IS AN EQUAL Cleveland, OH 44106. reply. Applications from women and minori welcomed. UCSC IS AN OPPORTUNITY AFFIRMATIVE ACTION EM An affirmative action equal opportunity ties are particularly PLOYER. employers. EEO/AA/IRCA EMPLOYER.
82 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Classified Advertisements
POSITIONS AVAILABLE UNIVERSITY OF CALIFORNIA JOHNS HOPKINS UNIVERSITY AT RIVERSIDE The Mathematical Sciences Department in SOUTHWEST MISSOURI Faculty Position in Mathematics STATE UNIVERSITY vites applications for the 1990-91 Department of Mathematics Applications and nominations are invited for a ELIEZER NADDOR POSTDOCTORAL FEL tenured or tenure track position in Algebraic LOWSHIP. Several tenure track positions and possibly Geometry or Commutative Algebra beginning The Fellow is to be an outstanding grad some visiting positions in Mathematics and July 1, 1990 or later. The position is open uating doctoral student in mathematics, sta Statistics are available beginning August 20, as to rank; candidates at all levels and in all tistics, or operations research, who plans 1990. Rank and Salary will be commensurate areas of algebraic geometry and commutative an academic research center. The fellow with qualifications. Applicants must have a algebra will be considered. Demonstrated ex ship provides a $29,000 stipend plus fringe PhD in Mathematics or Statistics, evidence cellence in research and teaching is required. benefits, to fully support 12 months of post of excellence in teaching, and a commit The eligibility pool for this position will consist doctoral study at the department in an area of ment to continued research. For all positions of those candidates for whom we receive a interest to some department faculty member, preference given to applicants with research vita, a list of publications and three letters of free from teaching and administrative duties. interests compatible with those of the cur recommendation by January 22, 1990. Estab Selection is made without discrimination on rent faculty and for at least one position lished criteria of the University of California the basis of race, color, religion, sex, or preference given to applicants with research determine salary and rank. Candidates should national origin. Applicants should provide a interest in algebra. Duties include teaching, send a curriculum vita, a list of publications current vita, a letter describing career aspira research, and service. Applications will be and the names of at least three references to tions and a research plan for the fellowship reviewed as received and will be accepted Professor Richard Block, Chair year, and transcripts, and should arrange for until the positions are filled or until April 1, Algebraic Geometry ;commutative three letters of recommendation to be sent, 1990-the final deadline for all application Algebra by February 28, 1990, to: materials. Send application (resume, three Hiring Committee Professor John C. Wierman, Chairman letters of reference, graduate transcripts, and Department of Mathematics and Mathematical Sciences Department a letter of interest) to: Dr. M. Michael Awad, Computer Science 220 Maryland Hall Head, Department of Mathematics, South University of California The Johns Hopkins University west Missouri State University, Springfield, Riverside, California 92521 Baltimore, Maryland 21218 MO 65804-0094. AA/EOE. University of California is an Affirmative Ac EOE/AA tion/Equal Opportunity Employer.
WESTERN CAROLINA UNIVERSITY PURDUE UNIVERSITY CALUMET UNIVERSITY OF MARYLAND MATHEMATICAL SCIENCES BALTIMORE COUNTY and applications are invited for HAMMOND, IN 46323 Nominations the position of Head, Department of Mathe The Department of Mathematics and Statis matics and Computer Science. The depart Assistant Professor, tenure-track position, tics at the University of Maryland Baltimore ment has eighteen full time faculty members August 1990. Requirements: Ph.D. in math County has been authorized to recruit for and offers programs leading to the B.S., ematics or statistics; demonstrated teaching three positions for the fall of 1990. At least B.S. Ed., M.S., and M.A. Ed. degrees with ability and research potential; U.S. Citizenship one of these will be at the senior level majors in mathematics, and the B.S. degree or Permanent Residency. Responsibilities: and one of these will be in Statistics. The with a major in computer science. Western Undergraduate and graduate teaching and department has strengths in control theory Carolina University has an enrollment of 6200 research. and optimization, ordinary and partial differ and is a member of the University of North Submit a letter of application, a curriculum ential equations and mathematical modeling, Carolina system. The successful candidate vitae, graduate school transcripts. Also ar numerical analysis and scientific computing, should have a terminal degree, a sustained range for three letters of recommendation, at as well as probability theory and statistics, record of quality teaching, research, and ser least one of which addresses your research and seeks strong applicants in these or vice, and an interest in both undergraduate potential and at least one of which addresses any other related field. Interested candidates and graduate program development, as well your teaching ability. All materials should be should send a curriculum vita, list of pub as administrative experience and/or potential. sent to: lications, and three letters of reference to Applicants should send a resume, gradu C. M. Murphy, Head James M. Greenberg, Chairman, Department ate transcripts, and three letters of reference Dept. of Mathematical Sciences of Mathematics and Statistics, University of to: Dr. James H. Horton, Chair, Mathematics Purdue University Calumet Maryland Baltimore, County, Baltimore, MD and Computer Science Search Committee, Hammond, IN 46323 21228. Applicants will be considered until a School of Arts and Sciences, Western Car Applications received by February 15, 1990, suitable candidate is found. THE UNIVER olina University, Cullowhee, NC 28723. WCU will be considered first. Minorities and women SITY IS AN EQUAL OPPORTUNITY EM is an Equal Opportunity Affirmative Action are encouraged to apply. Purdue University PLOYER AND SPECIFICALLY INVITES AP 1 Employer. Closing date for receipt of applica Calumet is an Equal Opportunity 1Affirmative PLICATIONS FROM WOMEN, MINORITIES, tions is March 1, 1990. Action Employer. AND DISABLED PERSONS.
JANUARY 1990, VOLUME 37, NUMBER 1 83 Classified Advertisements
POSITIONS AVAILABLE UNIVERSITY OF SOUTH CAROLINA UNIVERSITY OF CALIFORNIA COASTAL CAROLINA COLLEGE AT RIVERSIDE UNIVERSITY OF CALIFORNIA Faculty Posi\ion in Mathematics SANTA BARBARA MATHEMATICS. USC Coastal Carolina Col DEPARTMENT OF MATHEMATICS lege is seeking a person committed to ex Applications and nominations are invited for cellence in classroom instruction, sensitivity a tenured or tenure track position in Analysis Applications are invited for the KY FAN to student needs and curriculum develop beginning July 1 , 1990 or later. The position ASSISTANT PROFESSORSHIP. The Ky Fan ment. Tenure track position at rank of As is open as to rank; candidates at all levels assistant professorship is a special two sistant or Associate Professor available Fall, and in all areas of analysis will be considered. year non-renewable position which carries 1990. Qualifications: Ph.D. in Mathematics; Demonstrated excellence in research and a research stipend. Appointment is effective teaching experience. Statistical background teaching is required. The eligibility pool for July 1, 1990. Candidates must possess a preferred. Salary negotiable and competitive. this position will consist of those candidates Ph.D. by September 1990. Selection will be USC Coastal Carolina College, the fastest for whom we receive a vita, a list of publica based primarily on demonstrated research growing 4-year regional campus of the Uni tions and three letters of recommendation by achievement. Teaching experience is desir versity of South Carolina, is located 9 miles January 22, 1990. Established criteria of the able. Teaching load will consist of four quar west of Myrtle Beach. All applicants should University of California determine salary and ter courses per year. To apply send vita submit a letter of application, curriculum vitae, rank. Candidates should send a curriculum and publication list, and arrange to have 3 and names and addresses of references to: vita, a list of publications and the names of at letters of recommendation sent to: Ky Fan Dr. Janis W. Chesson, Assistant Chancellor least three references to Faculty Search Committee, Department of for Human Resources and Affirmative Ac Professor M. M. Rao, Chair Mathematics, University of California, Santa tion, USC Coastal Carolina College, P.O. Box Analysis Hiring Committee Barbara, CA 93106. All applications received 1954, Conway, SC 29526. Screening of appli Department of Mathematics and by January 10, 1990 will be given thorough cations will begin February 1, 1990, and will Computer Science consideration. UCSB is an Equal Opportu continue until position is filled. Applications University of California nity/ Affirmative Action employer. Proof of U.S. from women and minorities are encouraged. Riverside, California 92521 citizenship or eligibility for U.S. employment USC Coastal Carolina College is an EOE/ AA University of California is an Affirmative Ac will be required prior to employment {Immi Employer. tion/Equal Opportunity Employer. gration Reform and Control Act of 1986).
ILLINOIS WESLEYAN UNIVERSITY STANFORD UNIVERSITY FLORIDA INTERNATIONAL UNIVERSITY DEPARTMENT OF MATHEMATICS Department of Mathematics and Statistics The State University of Florida at Miami BLOOMINGTON, IL 61702 We invite applications for a tenure-track posi The Department of Mathematics announces Applications are invited for a tenure track tion in probability at the Assistant Professor two junior tenure track positions beginning position at the rank of Assistant Professor level beginning Autumn Quarter 1990 to 1991. August 1990. Candidates must have a Ph.D. in starting the fall semester 1990. Candidates The position is a joint appointment in the Mathematics and a commitment to research must possess a Ph.D. in mathematics, a dedi Department of Mathematics and Statistics. and quality teaching. Preferred areas of spe cation to excellent teaching in an independent, Excellent research potential in probability cialization include harmonic analysis, logic, liberal arts university, and active research in and stochastic processes, strong interests representation theory, complex variables, and terests. Preference will be given to individuals in applications, and commitment to quality differential geometry. Qualified candidates in with active interests in applied mathematics. teaching are required. Outstanding candi other areas will be considered. The initial closing date for applications is dates at higher ranks will also be consid Teaching load consists of 15 semester January 10, 1990 (prior to the AMS/MAA ered. Please submit applications, curriculum hours per academic year. Send resume Louisville meeting). Thereafter until the posi vitae ancj letters from three professional ref and 3 letters of recommendation to Re tion is filled, the closing dates are February 10, erences to: Yitzhak Katznelson, Chairman cruitment Committee, Department of Mathe March 10, and April 10. Women and minorities of Search Committee, Department of Math matics, Florida International University, Miami, are strongly encouraged to apply. Candidates ematics, Stanford University, Stanford, CA FL 33199. should submit a curriculum vitae and three let 94305-2125, U.S.A. Florida International University is the State ters of recommendation to Melvyn W. Jeter, Stanford University is an Equal Opportu University of Florida at Miami. The univer Head, Department of Mathematics, Illinois nity, Affirmative Action Employer, and wel sity is an equal opportunity/affirmative action Wesleyan University, Bloomington, IL 61702. comes applications from women and minori employer. Equal Opportunity Employer. ties.
84 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Classified Advertisements
POSITIONS AVAILABLE KANSAS STATE UNIVERSITY UNIVERSITY OF TORONTO Department of Mathematics Department of Mathematics BRADLEY UNIVERSITY Scarborough Campus Department of Mathematics Subject to budgetary approval, applications are invited for several tenure track and visiting Applications are invited for a limited term Applications are invited for an entry level positions commencing August 18, 1990; rank Assistant Professorship, from July 1, 1990 to tenure-track position at the rank of Assistant and salary commensurate with qualifications. June 30, 1991. There is a possibility that a Professor beginning August, 1990. Candi All fields will be considered, but, for the tenure two year appointment may become available. dates should have a strong commitment to track positions, preference will be given to Duties consist of teaching and research, and undergraduate teaching. The Ph.D. is re candidates in Low Dimensional Topology, candidates must clearly demonstrate strength quired, and continuing professional growth Geometric Topology, and Algebraic Topol in both. Applications, including a complete (publication) is necessary for tenure and ogy. Applicants must have strong research curriculum vitae, should be sent to Professor advancement. Applicants from all areas are credentials and a commitment to excellence J. M. Perz, Chair, Physical Sciences Division, invited. Special consideration will be given to in teaching. A Ph.D. in mathematics or a Ph.D. Scarborough Campus, University of Toronto, those in the fields of statistics, mathematical dissertation accepted with only formalities to 1265 Military Trail, Scarborough, Ontario M1 C modeling, discrete mathematics, and geom be completed is required. Letter of applica 1A4. Applicants should arrange for at least etry. Salary is competitive. The closing date tion, current vita, description of research and three letters of reference to be sent directly is January 12, 1990, or until the position is three letters of recommendation should be to the Chair; at least one of these should re filled. Other positions may become available sent to: fer to teaching. The deadline for applications at a later date. Send letter of application, vita, Louis Pigno is February 15, 1990. In accordance with and three or more letters of recommendation Department of Mathematics Canadian Immigration requirements priority to: Dr. T. V. Sastry, Search Committee, De Cardwell Hall 137 will be given to Canadian citizens and perma partment of Mathematics, Bradley University, Kansas State University nent residents of Canada. The University of Peoria, IL 61625. Bradley University is an Manhattan, KS 66506 Toronto encourages both women and men to AA/EO employer. Women and minorities are Deadline: February 1, 1990. AA/EOE apply for positions. encouraged to apply.
COLLEGE NORTHWESTERN UNIVERSITY KENNESAW STATE COLLEGE MANHATTAN MATHEMATICS MATHEMATICS DEPARTMENT Mathematics Department DEPARTMENT OF COMPUTER SCIENCE 2033 Sheridan Road P.O. Box 444 AND Marietta, GA 30061 Evanston, Illinois 60208-2730 Two tenure track positions at the rank of As commencing fall semester, The Mathematics Department will sponsor an At least one tenure track position in Math sistant Professor, 1990. Duties of one position include teach emphasis year in Dynamical Systems during ematics at the level of Assistant Professor courses in mathematics, the year 1990-91. The department expects to beginning in September, 1990. A Ph.D. is ing undergraduate especially probability and statistics, and intro fill one or two 2-year Assistant Professorships required with a strong commitment to un science. Duties of the other starting September 1990 with priority given dergraduate education as well as an interest ductory computer position include teaching a combination of to mathematicians with research interests in scholarly activities. Preference will be level undergraduate courses in Dynamical Systems. There is the further given to degrees in Combinatorial Group The upper and lower in mathematics and computer science. Candi possibility for more senior mathematicians ory, Combinatorics, or Statistics. Salary and a doctorate and strong of visiting positions for part or all of the rank are competitive and commensurate with dates should possess with a firm commitment to academic year. credentials and experience. The College is research ability Applications should be sent to Prof. Clark located in Northwest Metro Atlanta, and en teaching. by February 1, 1990, to Prof. Robinson at the department address and rolls over 9000 day and evening students in Send resumes Chairman of the Search include a curriculum vitae and three letters undergraduate and graduate programs. The Francis B. Taylor, of Mathematics and of recommendation. In order to ensure full department of Mathematics has 18 full-time Committee, Department consideration, an application must be received faculty and shares 6 others with the De Computer Science. COLLEGE by February 28. partment of Computer Science. Send resume MANHATTAN 10471 Northwestern University is an Affirmative and a list of three reference to Dr. Nancy Riverdale, NY Action/Equal Opportunity employer. Hiring is E. Zumoff, Chair, Search Committee. Applica AA/EO Employer M/F are encouraged to contingent upon eligibility to work in the tion deadline is March 1, 1990, or until filled Women and Minorities United States. (EOE/AA) apply
JANUARY 1990, VOLUME 37, NUMBER 1 85 Classified Advertisements
POSITIONS AVAILABLE BOWLING GREEN STATE UNIVERSITY BOWLING GREEN STATE EUGENE LUKACS VISITING UNIVERSITY LOUISIANA TECH UNIVERSITY PROFESSORSHIP The Department of Mathematics and Statistics The Mathematics and Statistics Department The Department of Mathematics & Statis at Bowling Green State University announces anticipates having three tenure track positions tics at Bowling Green State University is an anticipated tenure track/tenure position open at the Assistant Professor level for aca pleased to announce the establishment of in Algebra at the rank of Associate/Full demic year 1990-91. Candidates must have a a Eugene Lukacs Visiting Professorship in Professor. Ph.D. in Mathematics required; Doctorate in Mathematics or Statistics, a com Statistics. This Distinguished Visitor position experience in advising Ph.D. students in al mitment to teaching and a research record or is named in memory of Eugene Lukacs (1906- gebra preferred, overlapping interest with the potential. The specialty areas considered are 1987), whose many distinctions include being interests of the active algebraist group in statistics, modeling theory, and differential named the first ··university Professor·· at the department. Duties: Teach two courses equations. The salary is competitive. Send Bowling Green State University in recognition per semester; involvement in research, semi vita, three letters of reference, and transcripts of his outstanding contributions to Analytic nars and directing theses at the Ph.D. level. by February 15, 1990 to: (Applications will be Probability Theory. In combination with a Salary range is $40,000-$60,000 for the aca considered until the positions are filled). Post-Doctoral and Graduate Fellowship in demic year. Starting Date: 8/15/90. Deadline: John E. Maxfield, Interim Head Statistics, this Professorship is part of an 3/20/90 or until qualified candidate is found. Department of Mathematics and Academic Challenge Award from the Ohio Send credentials (vita, 3 letters of reference Statistics Board of Regents to the Statistics Program & an official transcript) to: Dr. H. S. AI-Amiri, Louisiana Tech University in the Dept. of Mathematics & Statistics. Chair, Dept. of Mathematics & Statistics, P.O. Box 3189 T.S. All three positions are non-teaching. Contact: BGSU, Bowling Green, OH 43403. BGSU is Ruston, LA 71272 Hassoon S. AI-Amiri, Chair, Dept. of Math an EO/AA Employer. Louisana Tech University is an Affirmative ematics & Statistics, BGSU, Bowling Green, Action/Equal Opportunity Employer. OH 43403, USA. EO/AA Employer.
UNIVERSITY OF SOUTH FLORIDA UNIVERSITY OF COLORADO AT Department of Mathematics COLORADO SPRINGS SEATTLE UNIVERSITY DEPARTMENT OF MATHEMATICS At least one tenure-track position is avail Applications are invited for a tenure-track COLORADO SPRINGS, CO 80933-7150 able beginning August 1990. Applicants must position at the Assistant Professor rank be possess a Ph.D. degree. Applicants special Applications are ginning September, 1990. Candidates must invited for 1 or 2 possible izing in analysis (numerical analysis, approx tenure track Assistant Professor positions for have a Ph.D. in mathematics, proven teaching imation theory, special functions); differential Fall 1990. Prefer areas consistent wjpresent ability, commitment to working with students equations; probability /mathematical statistics; research interests: algebra, diff. eq., com in service courses, and involvement in re theory of computation (algebra, combinatorics puter vision, harmonic analysis, probability search activity. Preference may be given to logic) are preferred but other outstanding can and math physics. Applicants should have a person with a background in some area didates will be considered. Rank and salary significant research accomplishments or ex of applied mathematics. To apply, send vita, will depend on credentials. To apply, send ceptional research promise and evidence of transcripts, and three letters of recommenda curriculum vitae and have three letters of rec good teaching. tion to Dr. Janet E. Mills, Chair, Mathematics Ph.D. is required. The average ommendation sent to Kenneth L. Pothoven, weekly teaching load is hours. Gen Department, Seattle University, Seattle, WA 7 1 /2 Chairman, University of South Florida, De erous support 98122. Closing date is Feb. 9, 1990. Seattle for faculty development such partment of Mathematics, Tampa, Florida as travel, teaching off-loads and summer University is committed to improving the di 33620-5700. Application deadline: February research. Send resume versity of its faculty and encourages qualified and 3 letters of refer 12, 1990. The University of South Florida is ence to James E. Daly, Chairman. women and underrepresented minorities to Screening an equal opportunity employer. will begin on Feb. 1, 1990 and continue until apply. Affirmative Action/Equal Opportunity all positions are filled. AA/EEO. Employer.
DUTCHESS COMMUNITY COLLEGE SYRACUSE UNIVERSITY CANISIUS COLLEGE Department of Mathematics INSTRUCTOR/ASSISTANT PROFESSOR: DEPARTMENT OF MATHEMATICS Tenure-track available September 1, 1990. We anticipate positions available at the As The position requires a Master's degree in sistant and Associate Professor level be Applications are invited for a tenure track po mathematics or a related field with appropri ginning Fall 1990. Candidates should have sition in mathematics to begin in late August ate coursework in mathematics. The person outstanding research ability and evidence of 1990. Applicants must have the Ph.D. in math will be expected to teach a wide variety of excellence in teaching. Applications are in ematics and a strong commitment to quality courses from remedial mathematics to dif vited in any area of mathematics and in teaching. Salary and fringe benefits are com ferential equations. Send letter of application mathematics education and statistics. Send petitive commensurate with credentials and and resume to: Mr. Paul Higgins, Personnel a letter of application and vita with a list of experience. Applicants should send resume, Administrator, Dutchess Community College, publications and three references to: Daniel transcripts and three letters of recommen 53 Pendell Road, Poughkeepsie, NY 12601- Waterman, Chair, Syracuse University, De dation to Dr. Richard Escobales, Chairman, 1595. Qualified women and minorities are partment of Mathematics, Box 1, Syracuse, Department of Mathematics, Canisius Col encouraged to apply. AA/EOE. NY 13244-1150. lege, Buffalo, NY 14208. AA/EOE.
86 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Classified Advertisements
POSITIONS AVAILABLE TEXAS A & I UNIVERSITY SUNY, COLLEGE AT NEW PALTZ DEPARTMENT OF MATHEMATICS UNIVERSITY OF ILLINOIS AT CHICAGO SUNY, COLLEGE AT NEW PALTZ Tenure Department of Mathematics, Applications are invited for tenure-track po track position available for PhD or EDD in Statistics, and Computer Science, sitions of Assistant, Associate, or Full Pro Mathematics Education having MA in Mathe Box 4348, Chicago, IL 60680. fessor beginning August, 1990. Candidates matics, or PhD in Mathematics with research must have a Ph.D. in mathematics, tangi interests in Mathematics Education. Begin Applications are invited for positions effec ble evidence of scholarly publications, and 9/90. Evidence of excellence in teaching & tive September 1, 1990, in pure and applied a strong commitment to superior teaching. scholarly potential. College in Hudson Val mathematics, probability and statistics, the Experience in Ph.D. program and directing ley /Catskill region of New York, with easy oretical computer science, and mathematics Ph.D. dissertations in applied mathematics, access to NYC offers BS and MS in Mathe education. Outstanding research record re numerical analysis or differential equations is matics, Computer Science, and Mathematics quired; junior candidates with post-doctoral preferred. Send resume and three letters of Education. Send letter, professional resume experience preferred. recommendation to: and names, addresses & telephone num Applications are also invited for visiting Dr. Margaret F. Land, Chair bers of three references to D. Clark, Chair, positions of one or more quarters. Send Department of Mathematics Department of Mathematics and Computer vita and direct 3 letters of reference to Texas A & I University Science, Box 10, SUNY, College at New John Baldwin, Chairman, Search Committee Kingsville, TX 78363-8201 Paltz, NY 12561. Review of resumes be (address above). To ensure full consideration Deadline is February 1, 1990, or until positions gins 1/1/90, pending budgetary approval. materials must be received by January 15, are filled. A Part of the Texas A & M University AA/EOE. Women and minorities urged to 1990. AA/EOE. System. AA/EOE. apply.
UNIVERSITY OF MICHIGAN RICE UNIVERSITY UNIVERSITY OF SOUTH FLORIDA UNIV OF MICHIGAN, DEARBORN, DEPT Department of Mathematics Department of Mathematics OF MATH & STAT, DEARBORN, MICHIGAN 48128-1491. Department Chair Ronald P. Applications are invited for a tenure track At least one tenure-track position is avail must Morash. The U of M-Dbn plans to fill a assistant professorship. There is a possibility able beginning August 1990. Applicants tenure track position starting in Sept. 1990. of an upgrade to associate or full profes possess a Ph.D. degree. Applicants special approx It is at the Asst. or Assoc. Prof. level and sorship for an exceptional senior candidate. izing in analysis (numerical analysis, requires a Ph.D. in Mathematics or Statistics. Candidates must have an extremely strong re imation theory, special functions); differential statistics; A research interest in an applied area of search background and good teaching skills. equations; probability /mathematical mathematics or in statistics is preferred. Preference will be given to applicants in theory of computation (algebra, combinatorics Teaching capability in an applied area of low-dimensional topology, although outstand logic) are preferred but other outstanding can Rank and salary mathematics or in statistics is a requirement ing candidates in analysis, geometry, and didates will be considered. for this position. The teaching load is 9 credit topology will also be considered. will depend on credentials. To apply, send letters of rec hours per term. To apply, send resume and Please send a curriculum vitae and at least curriculum vitae and have three Pothoven, have 3 letters of recommendation sent to 3 letters of recommendation to: Appointments ommendation sent to Kenneth L. Florida, De Ronald P. Morash, Chairman, Dept. of Math. Committee, Department of Mathematics, Rice Chairman, University of South Florida and Stat. The Univ of Mich-Dbn is an Equal University, P.O. Box 1892, Houston, Texas partment of Mathematics, Tampa, February Opportunity Employer and specifically invites 77251. 33620-5700. Application deadline: Florida is and encourages applications from women Rice University is an Equal Opportu 12, 1990. The University of South and minorities. nity I Affirmative Action Employer. an equal opportunity employer.
UNIVERSITY OF MARYLAND VIRGINIA POLYTECHNIC INSTITUTE UNIVERSITY OF GEORGIA UNIVERSITY COLLEGE AND STATE UNIVERSITY Department of Mathematics TEACH IN ASIA OR EUROPE DEPARTMENT OF MATHEMATICS Athens, GA 30602
The University of Maryland University College We are seeking applications for one senior The department may have some tenure track seeks excellent teachers for openings on U.S. visiting appointment (Associate or Full Pro positions available for the 1990-91 academic military bases overseas. Appointments begin fessor) for the academic year 1990-1991. year at the assistant and associate pro August, 1990. Requirements include M.A. or Duties are expected to include teaching a fessor levels. The rank and salary will be Ph.D., recent college teaching experience, topics course and interacting with faculty and commensurate with the applicant's abilities and U.S. citizenship. Competence to teach in graduate students. The review of applica and experience. The principal requirement is another discipline desirable. Benefits include tions will begin on November 15, 1989 and excellence in teaching and research. Some transportation and military base privileges continue until the position is filled. To apply preference will be given to areas in which (PX, commissary, etc.). Frequent travel and submit a curriculum vita to: Chairman, Se the department is already well represented. the cost of schooling make these positions nior Visitor Search Committee, Department of Send curriculum vitae and four letters of difficult for those with children. Send resume Mathematics, Virginia Tech, Blacksburg, VA recommendation to Richard A. Bouldin, Head to Dr. Ralph E. Millis, Assistant to the Pres 24061-0123. Women and minorities are en (address above) by January 15, 1990. UGA ident, Overseas Programs, The University of couraged to apply. Virginia Tech is an Equal is an Equal Opportunity1 Affirmative Action Maryland University College, College Park, Opportunity1 Affirmative Action Employer. Employer. MD 20742-1642. AA/EEO.
JANUARY 1990, VOLUME 37, NUMBER 1 87 Classified Advertisements
POSITIONS AVAILABLE MICHIGAN TECHNOLOGICAL UNIVERSITY UNIVERSITY OF KANSAS Department of Mathematics COMMUNITY COLLEGE OF PHILADELPHIA The Department of Mathematical Sciences is seeking a director for the Fluids Research Applications are invited for tenure-track and MATHEMATICS-The Mathematics Dept. in Oriented Group (F.R.O.G.). F.R.O.G. is an temporary positions at all levels, commencing vites applications for a possible 1990 tenure interdisciplinary group, involving Departments August 16, 1990 or as negotiated. Field is track position. Candidates must have at least of Mathematical Sciences, Mechanical Engi unrestricted but preference will be given to nu a Master's Degree in Mathematics, a com neering, and Chemical Engineering, engaged merical analysis then to probability /statistics, mitment to quality teaching, both remedial in an active program of research in Fluid Me then to areas meshing well with the de and college level students, and a serious chanics. This position will carry an appoint partment's needs. Require Ph.D. or Ph.D. interest in curriculum development. The de ment as Associate Professor or Professor. dissertation accepted with only formalities to partment is actively engaged in developing Candidates should have an active research be completed. new mathematics courses. It has recently record in Fluid Mechanics or Computational Application, detailed resume with descrip received grants from NSF and CASET. Out Mathematics. A good funding record and ex tion of research, and three recommendation standing benefits. Send curriculum vitae and perience with Ph.D. students is required. The letters should be sent to C. J. Himmelberg, 3 letters of recommendation to: Dept. of position starts in September 1990. Send a Chairman, Department of Mathematics, Uni Mathematics Chair, COMMUNITY COLLEGE curriculum vitae and three letters of recom versity of Kansas, Lawrence, KS 66045-2142. OF PHILADELPHIA, 1700 Spring Garden St., mendation to Recruitment Committee, Dept. Deadlines: December 1, 1989 for first Phila., PA 19130. Women and minorities are of Math. Sciences, MTU, Houghton, Ml 49931. consideration, then monthly until August 1, encouraged to apply. AA/EOE. MTU is an equal opportunity educational in 1990. stitution/equal opportunity employer. The University of Kansas is an AA/EOE.
MICHIGAN TECHNOLOGICAL UNIVERSITY Department of Mathematical Sciences MICHIGAN TECHNOLOGICAL UNIVERSITY LOYOLA UNIVERSITY OF CHICAGO Department of Mathematical Sciences Subject to final administrative approval, we The Department of Mathematical Sciences expect to fill the following positions. Starting We invite applications and nominations for anticipates at least one tenure track posi date is Sept. 1990. the position of Department Head. The de tion and some visiting positions beginning in 1. One tenure-track Assistant Professor partment offers B.S. and M.S. degrees and August, 1990. Requirements are the Ph.D., ship. Strong research and teaching back is developing a Ph.D. program. We have a an active research program in any area, ground required. Teaching load: five quarter strong commitment to research, especially and a commitment to quality teaching. The courses per year. in Applied Mathematics, and to excellence department offers courses in mathematics, 2. At least two Visiting Assistant Profes in undergraduate education. We are seeking computer science, and statistics at the un sorships. These are one year positions with a a distinguished senior mathematician to fur dergraduate and masters level. Interviews will teaching load of six quarter courses per year. ther develop and enchance our programs. To begin in January and continue until all posi 3. One instructorship. An M.S. and strong apply, send a curriculum vitae and at least tions are filled. Send detailed C.V. and three teaching background is required. Teaching three letters of recommendation to Head letters of recommendation to Professor R. load: nine quarter courses per year. Search Committee, Dept. of Math. Sciences, J. Lucas, Department of Mathematical Sci To apply, submit vitae and three letters of MTU, Houghton, Ml 49931. MTU is an equal ences, Loyola University, Chicago, IL 60626. recommendation to Recruitment Committee, opportunity educational institution/equal op Loyola University of Chicago is an Equal Dept. of Math. Sciences, MTU, Houghton, Ml portunity employer. Opportunity1 Affirmative Action Employer. 49931. MTU is an equal opportunity educa tional institution/equal opportunity employer. UNIVERSITY OF NORTH CAROLINA AT CHAPEL HILL SUNY COLLEGE AT BROCKPORT Dept. of Mathematics Tenure-track assistant professorship in Math FAIRFIELD UNIVERSITY Chapel Hill, N.C. 27599-3250 Tenure-track Position in Mathematics ematics available September 1990. Appli Applications are invited for one appointment cants should have a Ph.D. in Mathematics An entry level Assistant Professor is sought at the tenured Associate or Full Professor with expertise in Discrete Math, Probability, to start in September 1990 who must have a level, effective Fall1990. A Ph.D. and demon Statistics, or Operations Research, and a Ph.D. in Mathematics and evidence of teach strated excellence in research and teaching strong commitment to the teaching of Math ing ability. Normal teaching load is 3 courses are required. Applications will be accepted ematics to a culturally diverse student body per semester plus research. Salary is compet until the position is filled; however applica at the Undergraduate and Masters' levels. itive and full consideration is given to dossiers tions received by February 15, 1990, are Demonstrated ability to conduct and publish completed by February 1 , 1990. Please send assured of full consideration. Send 4 letters scholarly research. For details, contact Dr. a resume and three letters of reference to of recommendation, vitae, and abstract of N. Bloch, Chairperson, Department of Mathe Joseph B. Dennin, Chair, Dept. of Math and current research program to Search Com matics(phone: 716-395-2194). To apply, send Computer Science, Fairfield University, Fair mittee, cfo Deborach Reives, Mathematics a letter of application and resume and have field, CT 06430-7524. Fairfield is a Jesuit Dept., CB #3250 Phillips Hall, UNC at Chapel three letters of reference sent by January 29, University located 60 minutes from New York Hill, Chapel Hill, NC 27599-3250. EO/AA Em 1990, to the Office of Faculty /Staff Relations, City. It is an Equal Opportunity1 Affirmative ployer. Women and minorities are encouraged SUNY College at Brockport, Brockport, NY Action Employer. to identify themselves voluntarily. 14420. AA/EOE
88 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Classified Advertisements
POSITIONS AVAILABLE ALBION COLLEGE UNIVERSITY OF CALIFORNIA Albion, Michigan AT BERKELEY CALIFORNIA STATE DEPARTMENT OF STATISTICS POLYTECHNIC UNIVERSITY Tenure-track position at the assistant profes sor level in mathematics department. Starts Pending final budgetary approval, we invite Two tenure track teaching positions: one August, 1990. Salary competitive; excellent applications for a faculty position at any in Mathematics Education, salary dependent fringe benefits. Ph.D. in mathematics or statis tenured or tenure-track rank, to begin July 1, upon qualifictions, Doctorate in Mathematics tics with strong emphasis in applied statistics. 1990. We will consider strong candidates in Education or Mathematics; one in Applied Evidence of excellence in teaching required. any area of theoretical and applied statistics, Mathematics at the assistant professor level, Albion College encourages applications from probability and applied probability theory. salary dependent upon qualifications, Doctor minority candidates and women. Direct in Interdisciplinary interests are encouraged ate in Applied Mathematics or Mathematics. quiries to R. C. Fryxell, Chairman, Mathe and joint appointments are a possibility. The Evidence of potential for excellent teaching matics Department, Albion College, Albion, department is particularly interested in hear and scholarly research required. Application, Ml 49224, (517)629-0287. (BITnet address: ing from suitably qualified women or members resume, copy of transcripts and three ref RFRYXELL@ALBION) Albion College is an of minorities currently underrepresented in erences to be postmarked by 2/16/90. For equal opportunity employer. faculty positions. Send inquiries and applica additional information or to apply, contact: tions including a resume and three references Search Committee, Mathematics Department, by January 30, 1990 to: California State Polytechnic University, 3801 David R. Brillinger W. Temple Ave., Pomona, CA 91768-4033. Personnel Committee (714)869-3467. EOE/AA Department of Statistics SOUTHERN CONNECTICUT University of California STATE UNIVERSITY Berkeley, CA 94720 MATHEMATICS DEPARTMENT (Applications received for our earlier Novem 501 CRESCENT ST. ber 30, 1989 deadline will automatically be NEW HAVEN, CT 06515 COLLEGE OF STATEN ISLAND (CUNY) considered for this deadline also.) The Uni is an Equal Opportunity Department of Mathematics Tenure track position at asstfassoc rank be versity of California ginning 8/27/90 to teach ungrad/grad math, Affirmative Action Employer. position in mathematics is A tenure-track including stat. and appl. math. (12 hrs). available for Fall 1990. Requirements: Ph.D., Qualifications: doctorate in math, evidence of to teaching; published strong commitment quality teaching, expertise in stat. or appl. beyond the Ph.D. All mathematics research math, potential for scholarly growth. will be considered with special research areas Send application, vita, transcripts, refer given to probability and statistics. preference ences to Dr. Helen Bass, Chair. Full con Rank and salary commensurate with quali sideration given to applications received by fications. The College of Staten Island is a 1/31/90. (AA/EOE) senior college in CUNY. Send resume and three letters of reference to: Dr. Jane Coffee, Mathematics Department, College of Staten Island, 130 Stuyvesant Place, Staten Island, N.Y. 10301 by January 31, 1990. AA/EOE Please note: Employer. WHITTIER COLLEGE The Department of Mathematics and Com puter Science invites applications for a tenure newAMS track position, at the level of Asst. Prof. toll-free beginning Fall 1990. The five members of the SOUTHERN CONNECTICUT department teach a wide range of undergrad STATE UNIVERSITY telephone number uate courses in Mathematics and Computer MATHEMATICS DEPARTMENT Science. Ph.D. in Mathematics is expected, in North America 501 CRESCENT ST. but no particular field is required. Participa NEW HAVEN, CT 06515 tion in the teaching of college-wide courses Tenure track position at asstfassoc rank such as College Writing and interdepartmen 1-800-321-4AMS beginning 8/27/90 to teach ungradfgrad math tal courses such as Quantitative Management and math ed., supervise secondary student courses is most welcome. Candidates should teachers ( 12 hrs). Qualifications: doctorate send a vita, a statement of teaching philoso in math, or math ed., evidence of quality phy, and three letters of recommendation to (321-4267) teaching, experience in teacher ed. programs, Chairman, Department of Mathematics and potential for scholarly growth. Computer Science, Whittier College, Whittier, Send application, vita, transcripts, refer CA 90608. The processing of applications will ences to Dr. Helen Bass, chair. Full con begin on Feb. 15, 1990. However, applications sideration given to applications received by will be accepted until the position is filled. 1/31/90. (AA/EOE) EOE/AA
JANUARY 1990, VOLUME 37, NUMBER 1 89 MATHEMATICAL REVIEWS
ASSOCIATE EDITOR
Applications and recommendations are invited for a two-year appointment as an Associate Editor of Mathematical Reviews (MR), to commence no later than the summer of 1990. Appli cations will be welcomed from persons taking leave from other positions, and in particular from tenured faculty members who can take leave to come to MR for two years.
The MR office of the American Mathematical Society is located in Ann Arbor, Michigan, not far from the campus of the University of Michigan, and the editors (although employees of the AMS) enjoy many privileges at the university. At present MR employs fourteen mathemati cal editors, about ten consultants, and over sixty nonmathematicians. It produces Mathematical Reviews, Current Mathematical Publications, various indexes, the online service MathSci, and MathSci Disc. The responsibilities oL~n-A.ss_o~~iate_Edito_r_falL_prim.arily_inthe day-to-day opera tions of selecting articles and books suitable for review, classifying these items, assigning them to reviewers, editing the reviews when they are returned, and correcting galley proof. At this time an individual with considerable breadth in applied mathematics is sought (such as in differential equations, optimization, operations research, systems theory, control theory, information theory, etc.). 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.)
Persons interested in combining a sabbatical or other leave with a part-time appointment as an Associate Editor should write (or telephone) for further details. The twelve-month salary is negotiable, and will be commensurate with the experience the applicant brings to the position. Salary and fringe benefits are similar to those in universities. Of special importance is a policy providing termination pay of three months full pay for an editor serving full time for two years.
Applications (including curriculum vitae, bibliography, and names and addresses of at least three references) and recommendations should be sent to Dr. R. G. Bartle, Executive Editor, Mathematical Reviews, P. 0. Box 8604, Ann Arbor, MI 48107-8604. (Telephone: 313-996-5255; FAX: 313-996-2916; INTERNET: [email protected].) Persons who may be interested in applying for this position are urged to inquire without delay.
The American Mathematical Society is an equal opportunity employer.
PAID ADVERTISEMENT------
AMS CONTINUES GROSS DISTORTION IN SURVEYS; ABROGATES AGREEMENT WITH GORDON AND BREACH
New York- "The AMS has again published an erroneous and damaging survey," say officials of Gordon and Breach, Science Publishers, Inc., At the time of an earlier survey by AMS, Gordon and Breach pointed out many methodological and factual inaccuracies to the AMS. The AMS then agreed with Gordon and Breach that, because of the methodological problems, Gordon and Breach journals would not be included in any future surveys. The AMS Executive Director's exact words were " ... 1 will of course see to it that G&B journals are not listed." This was reiterated in later correspondence with the European Mathematical Council. Yet, Gordon and Breach now appears in a 1989 AMS survey with many of the same inconsistencies and inaccurate conclusions about the price of its journals, due substantially to continuing the use of inaccurate methodology, which results in overstatement of Gordon and Breach's prices by as much as a factor of two.
Not only has the AMS engaged in factual misrepresentation, Gordon and Breach believes that it has broken all grounds of propriety in having breached the agreement not to include their journals in its surveys. In spite of its agreement, AMS personnel were apparently instructed to continue sending survey questionnaire to Gordon and Breach in which one would inevitably slip through. An earlier survey questionnaire was sent to our British affiliate some two years ago. Fortunately that one was caught, and when the questioner was informed about our agreement, the survey omitted our journals. Prior to publication of the recent survey, AMS again sent a questionnaire to Gordon and Breach. It unfortunately came to the attention of a new editor, who upon seeing the short deadline and the notation that the information would be deemed correct by AMS if there were no response, and being unaware of the prior agreement that Gordon and Breach would not be included in AMS' surveys, filled out part of the questionnaire. Obviously, his action does not waive the company's right to insist that AMS live up to its agreement not to include us in its surveys.
In the response the editor gave, he expressly listed three different prices we charge, one to corporations, a much lower one to libraries, and an even lower one to individuals. The corporate price included an optional 30% photocopy license and other factors not necessarily comparable to the other publications. The library prices also included an optional photocopy license and other factors. AMS, for reasons we cannot fathom, used only the highest corporate price rather than our much lower library price, even though the survey claims it was directed at libraries. Thus, even the information we provided was misused to produce the most damaging results. We believe it may have been done with intent, and we ask the AMS to publish a full retraction of our inclusion in their survey if this is not the case.
Additionally, the library prices which were used are our listed prices. Libraries regularly receive additional options, including a reduction if a photocopying license fee is not desired. Further, in 1988 Gordon and Breach granted an additional 15% reduction to all existing library subscribers renewing within a given time frame. Also, Gordon and Breach, unlike many other publishers, includes postage and handling as part of its price: a proper comparison to other journals should not include these costs. None of this is reflected in the AMS study.
The result is that AMS's calculation for cost per 1 ,000 characters is far off the mark. In effect, what the AMS has done is tantamount to comparing prices of the same automobile offered by a dealer which includes options and one which does not. Any survey that is not based on the unit price of a product results in an inaccurate and unfair comparison - "apples and oranges". If AMS were to have considered these factors, the cost per 1,000 characters for a journal such as Applicable Analysis in 1988 is 48 cents, rather than the 93.5 cents published in the survey. To give another example, Complex Variables is 26 cents rather than 52 cents. PAID ADVERTISEMENT------
While basing its price survey on page and character counts, the AMS failed to mention the more fundamental difference that are reflected in subscription rates, such as the much lower potential market for specialized journals. This naturally leads one to question the usefulness of any survey which attempts to compare general circulation journals with more specialized ones. Leaving the factual errors about the Gordon and Breach journals aside for the moment, we will continue to question the logic of the AMS and other society publishers in resorting to such a narrow point of reference in comparing the value of research journals. For example, pre-press and production costs of different journals may vary significantly depending on a number of variables, like complexity of typesetting and other editorial services offered for different publishers. Gordon and Breach, for instance, provides help on the spot with copy preparation in countries like Japan and the Soviet Union. This is quite expensive. One of the journals included by the AMS in its survey, which the AMS stated was limited only to journals published in the United States, in fact originated in and was published in Europe, which affected its cost.
Gordon and Breach believes that surveys like that of the AMS necessarily reflect unfavorably upon the publishers of commercial publications as opposed to society publications. Of course the societies, which are generally non-profit and have tax-exempt status, can consistently price at a lower rate: membership dues, advertising, government grants and other forms of support insure that their subscription prices will be lower than those of a commercial publisher. But surveys based on cost just do not take into account benefits that commercial publishers, like Gordon and Breach, offer, benefits which may add to cost. These include, for example, the international breadth of the material included. In addition, publishing highly specialized journals, as Gordon and Breach typically does, necessarily results in higher costs per page but may ultimately be less expensive for the consumer, who will then need to subscribe to fewer journals. Therefore, to compare commercial and society publications is, in the opinion of Gordon and Breach, not only gratuitous but also blatantly unfair competition.
The problem with non-analytical surveys like this is that they do not really assess all of the factors involved in publication. For example, a publisher may publish a journal of high quality, having a limited audience; or he may have the policy of publishing a journal of low quality comprising material already covered by other publishers, and enjoy a wider number of subscribers. Our policy is to try to choose the best material regardless of the size of the market and produce and price as necessary. Other publishers may have a different approach.
We do not mean to suggest that we are alone in our philosophy, but when all publishers are taken together, whether they have government support or not, the results can become grossly distorted. If these distortions are used for purchasing decisions, the best quality research may well be ignored.
We welcome research and contribute frequently to discussion of issues pertaining to serial prices. In no way do we mean to inhibit such dialogue. All we are insisting on is accurate methodology of such surveys, or the same misguided selection process and/or criteria will be used time and time again, resulting in similar misrepresentations. NATIONAL UNIVERSITY OF SINGAPORE
DEPARTMENT OF MATHEMATICS
Applications are invited for teaching appointments from candidates who are able to teach in one or more of the following areas: Pure Mathematics Applied Mathematics Operational Research Statistics Candidates should possess a PhD degree in Mathematics or its equivalent.
Gross annual emoluments range as follows: Lecturer S$50,390- 64,200 Senior Lecturer S$58,680- 100,310 Associate Professor S$88,650- 122,870 (US $1.00 = S$1.96 approximately) The commencing sala:rywill depend on the candidate's qualifications, experience, and the level ofappointment offered.
Leave and medical benefits will be provided. Depending on the type of contract offered, other benefits may include: provident fund benefits or an end-of-contract gratuity, a settling-in allowance ofS$1 ,000 or S$2,000, subsidised housing at nominal rentals ranging from S$1 00 to S$216 p.m., education allowance for up to three children subject to a maximum ofS$10,000 per annum per child, passage assistance and baggage allowance for the transportation of personal effects to Singapore. Staff members may undertake consultation work, subject to the approval of the University, and retain consultation fees up to a maximum of 60% of their gross annual emoluments in a calendar year.
The Department of Mathematics is a department in the Faculty ofScience. There are 8 faculties in the National University of Singapore with a current student enrolment of some 14,000. All departments are well-equipped with a wide range of facilities for teaching and research.
All academic staff have access to the following computer and telecommunication resources: an individual microcomputer (an IBM AT-compatible or Apple Macintosh); an IBM mainframe computer with 16 MIPS of computing power; departmental laser printers; a wide spectrum of mainframe and microcomputer software; voice-mail; BI'INET to access academic institutions world-wide. In addition, a proposed campus network based on state-of-the-art optical fibre technology will be installed by 1990 to facilitate resource sharing and electronic communication for the academic community.
Application forms and further information on terms and conditions of service may be obtained from: The Director The Director Personnel Department North America Office National University of Singapore National University of Singapore 10 Kent Ridge Crescent 780 Third Avenue, Suite 2403 Singapore 0511 New York, NY 10017, U.S.A. Tel: (212) 751-0331
Enquiries may also be sent through BI'INET to: PERSDEPT @ NUSVM, or through Telefu:: (65) 7783948 ------CAMBRIDGE ONIVERSITY PREss-----
NUMERICAL RECIPES IN PASCAL ASPECTS OF QUANTUM fiELD THEORY IN The Art of Scientific Computing CURVED SPACETIME Revised Edition Stephen A. Fulling William H. Press, Brian P. Flannery, Saul A. This introduction to the theory of quantum fields in curved spacetime, arose from a course taught to graduate students and is designed for Teukolsky, and William T. Vetterling self-study or advanced courses in relativity and quantum field theory. The Pascal version of this highly successful text and reference provides London Mathematical Society Student Texts lucid, easy-to-read discussions of the most important practical numer 19891300 pp./34400-X/Hardcouer $49.50 ical techniques for science and engineering. More than 200 actual, 37768-4/Paper $19.95 working Pascal procedures are ready to be included in the reader's own programs. Not simply translations from the FORTRAN and C pro cedures of previous versions in those languages, these 200 programs FUNCTIONAL EQUATIONS IN SEVERAL have been extensively reworked in a dear, consistent Pascal style. Pascal: 19891759 pp./37516-9/Hardcouer $44.50 VARIABLES C: 19881768 pp./35465-X/Hardcouer $44.50 FOKTRAN: 19861702 pp./38330-7/Hardcouer $44.50 J Aczel and J Dhombres This treatise deals with modern theory of functional equations in several variables and their applications to mathematics, information theory, and lECTuREs ON MINIMAL SuRFACES, the natural, behavioral and social sciences. VoLUME I Encyclopedia of Mathematics and Its Applications 19891500 pp./35276-2/Hardcouer $89.50 Johannes C.C. Nitsche This monograph deals with the parametic minimal surface in Eucli dean space. The author presents a broad survey that extends from the GEOMETRIC ASPECTS OF BANACH SPACES classical beginnings to the current situation while highlighting many of the subject's main features. Essays in Honour of Antonio Plans 19891563 pp./24427-7/Hardcouer $135.00 Edited by E. Martin Peinador and A. Rodes-Usan This volume concentrates on some important and contemporary CHAanc EvoLUTION AND STRANGE themes in Banach space theory written by leading researchers. Topics covered include sequences, operators, eigenvalues, s-numbers and ATTRACTORS projection constants. D. Ruelle London Mathematical Society Lecture Note Series Written by one of the world authorities on nonlinear dynamics, this 1989/200 pp./36752-2/Paper $24.95 book is an accessible and leisurely account of systems that display a chaotic time evolution. The analysis presented here is based on statis tical technique known as time series analysis. ITERATIVE FUNCTIONAL EQUATIONS Lezioni Uncee Lectures 1989196 pp./36272-5/Hardcouer $39.50 M. Kuczma, B. Choczewski, and R. Ger 36830-8/Paper $12.95 This is a cohesive and exhaustive account of the modern theory of iter ative functional equations. Many of the results included have appeared fRACTALS before only in research literature, making this an essential volume for all DYNAMICAL SYSTEMS AND those working in functional equations and in such areas as dynamical Computer Graphics Experiments in Pascal systems and chaos. KH. Becker and M. Dorfler; translated by I. Stewart Encyclopedia of Mathematics and Its Applications pp./35561-3/Hardcouer $99.50 While keeping the mathematics simple, the reader is introduced to an 19891550 area of current scientific research that was scarcely possible until the availability of computers. 19891398 pp./36025-0/Hardcouer $59.50 36910-X/Paper $19.95 Now in paperback ... liNEAR ALGEBRA An Introduction with Concurrent Examples fOURIER ANALYSIS A.G. Hamilton T.W. Korner 'This is an extraordinary and very attractive book ... I would like to see This is a readable introduction to linear algebra intended for use in the book on the desk of every pure mathematician with an interest in courses for both students of pure mathematics who may subsequently analysis, and of every teacher of applied mathematics whose work pursue more advanced study in the area, and for students who require involves analysis:· -SIAM Review linear algebra and its applications in other subjects. 19861591 pp./38991-7/Paper $34.50 19891240 pp./32517-X/Hardcouer $69.50 31042-3/Paper $22.95 REGULAR VARIATION INTRODUCTION To NoN-COMMUTATIVE N.H. Bingham, C.M. Goldie, and JL. Teugels RINGS NoETHERIAN Encyclopedia of Mathematics and Its Applications K Goodearl and R. Warfield Jr. 19871512 pp./37943-1/Paper $34.50 The standard techniques in the area are introduced, and applied to a variety of problems. A recurring emphasis is placed on prime ideals and injective modules to help tie the material together. ERGODIC THEORY London Mathematical Society Student Texts 19891328 pp./36086-2/Hardcouer $49.50 Karl Petersen 36925-8/Paper $19.95 19831329 pp./38997-6 Paper $29.95
See these and other outstanding titles at the Cambridge booths. CAMBRIDGE ONIVERSITY PRESS 40 West 20th Street, New York, NY 10011 r------Modern Perspectives of Mathematics: ------. Mathematics as a Consumer Good, Mathematics in Academia March 29-31, 1990, Cornell University
The Mathematical Sciences Institute (MSI), Cornell University, is bringing together influential mathematics consumers, educators, and researchers for a 3-day examination of the nation's use and development of mathematics resources. Drawn from government policy agencies, acade mia, and business and industrial laboratories, they will address how to develop mathematics education and research in ways that will encourage the interplay of mathematics and its appli cations in business, industry, and government. Lectures Malvin H. Kalos, Cornell University, The Impact of Computers on Mathematics, (keynote address); Edward E. David, Jr., EED, Inc., Mathematics in a World of Mega Projects; Can it Survive?; Peter D. Lax, Courant Institute of Mathematical Sciences, Today's World and Mathematics; Jacques-Louis Lions, Centre National d'Etudes Spatiales College de France, Pure and Applied Mathematics; Ivars Peterson, Science News, The Mathematical Tourist; Shmuel Winograd, IBM, Mathematics and Computers; Roger W. Brockett, Harvard University, Mathe matics of Intelligent Machines; Mary F. Wheeler, Rice University, Relationships between Industry and Academics; Walter W. Hollis, U.S. Army, Mathematics in Defense-- Support to the Decision Process-- A Subset; John J. Hopfield, California Institute of Technology, Mathematics in Neural Sciences; Michael E. Fisher, Univeristy of Maryland, Mathematical Rigor in Physics: To What End? Program Description The symposium begins on Thursday, March 29, with registration, dinner, and the keynote address. Friday, March 30 will be devoted to lectures and discussion periods followed by an open, university lecture in the evening. The symposium will conclude with a panel discussion and a summary of recommendations on Saturday, March 31. Panelists Werner C. Rheinboldt (Panel Chair), University of Pittsburgh; George Metakides, ESPRIT; Cathleen S. Morawetz, Courant Institute of Mathematical Sciences; Malcolm R. O'Neill, U.S. Army; Richard S. Stepleman, Exxon Research and Engineering Company; Rose Teukolsky, Ithaca High School; Daniel Willard, U.S. Army. General Information The symposium will be held at Cornell University, Ithaca, NY. For information, contact con ference secretary Diana Drake at the Mathematical Sciences Institute, Cornell University, 201 Caldwell Hall, Ithaca, NY 14853-2602,607/255-7740. Organizing Committee Yervant Terzian (Committee Chair), Chairman, Department of Astronomy; Wilson V. Kone, Associate Direc tor for Administration, Mathematical Sciences Institute; Simon A. Levin, Director, Center for Environmental Research; Anil Nerode, Director, Mathematical Sciences Institute, Lars B. Wahlbin, Associate ~\ Director for Research, Mathematical Sciences Institute; all of Cornell University. Daniel Willard, 1\ & i U.S.Army. lVl~i MSI is partially funded by the U.S. Army Research Office. Cornell University is an affirmative action, equal opportunity , ,,.,,::.=:·:.=:•. -~~\":":'.;:"'":;":;;::;::;:*·~~~"':::~~~~ ;.:;; educator and employer. ''When our baby was born, we bought 875,000 additional AMS Members' Life Insurance ••• and insured him, too!'' " ... Now I feel better knowing that when our So review your current insurance now. And, baby grows up, there will be enough insurance for the extra insurance you need, simply call or protection if I'm not around." write the Administrator. As your family grows, so should your life insurance coverage. And this group life insur UP TO $300,000 IN ance makes a lot of sense to growing families. TERM LIFE INSURANCE PROTECTION It's economical. You get inexpensive group IS AVAILABLE TO AMS MEMBERS. rates. And, this group term life insurance goes Plus these other group insurance plans: with you wherever you go. Get a new job and Excess Major Medical long as you remain a In-Hospital Insurance it stays with you-as High-Limit Accident Insurance member. That's important in a mobile society Disability Income like ours. You can insure yourself, your spouse and all eligible children. One low premium covers all your children. Contact Administrator, AMS Group Insurance Program The AMS Life Plan is underwritten by Connecticut General Life Insurance Smith-Sternau Organization, Inc. Company, a CIGNA Company, Hartford, Connecticut 06152 on form number 1255 23rd Street, N .W. GM3000. Washington, D.C. 20037 800 424·9883 Yoll Free In Washington, D.C. araa,IOIIII·ID30 INSTITUTE FOR MATHEMATICS AND ITS APPLICATIONS University of Minnesota 514 Vincent Hall 206 Church Street S.E. Minneapolis, Minnesota 55455 FAX (612) 626-7370 telephone (612) 624-6066 ima_staff%csfsa.cs.umn.edulumnacvx.bitnet ima_staff%csfsa.cs.umn.edulumn-cs.cs.umn.edu
IMA Summer Program RADAR AND SONAR June 18- June 29, 1990
ORGANIZERS Alberto Grunbaum (chairman), Marvin Bernfeld, Richard E. Blahut, Richard Tolimieri OUTLINE Week 1, June 18-June 22, 1990 ...... TUTORIAL Lecturers: Richard E. Blahut, Willard Miller, Jr. and C.H. Wilcox The first week will be run as a summer school. There will be three minicourses, each consisting of five-hours lectures. Lecture notes prepared by the lecturers will be distributed to students and participants as they arrive at the IMA. The minicourses are: TOPICS IN HARMONIC ANALYSIS WITH APPLICATIONS TO RADAR AND SONAR (Miller), SONAR AND RADAR ECHO STRUCTURE (Wilcox), and THEORY OF REMOTE SURVEILLANCE ALGORITHMS (Blahut). Week 2, June 25-June 29, 1990 ...... RESEARCH PROBLEMS Scientists mostly from industry and government agencies who are working on problems in Radar or Sonar will present research problems. During this week, in addition to the audience of the first week, there will be other invited participants (mostly from universities) whose research is connected to Radar and Sonar. *********************************** Partial list of confirmed speakers and participants (in addition to organizers): Eric Borden Mostafa Kaveh Harold N aparst Robert Shore Kevin Buckley Bernard Levy Joseph O'Sullivan Murray Simon Dennis Burnside Peter Maass Norman Owsley Donald Snyder E. Feig Richard Marino Craig Poling Ahmed Tewfik Izador Gertner Medgyesi-Mitschang Howard Resniko:ff Edward L. Titlebaum Daniel Goodfellow Gunter Meyer Vladimir Rokhlin Eric Walton Simon Haykin Gary Mohnkern Walter Schempp Charles Weigel Gary Hewer Pierre Moulin Luise Schuetz Harper J. Whitehouse Steven Izen David Munson Kenneth Schultz A videh Zakhor 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 write to Avner Friedman, Director, at the above address. PARTICIPATING INSTITUTIONS:Georgia Institute of Technology, Indiana University, Iowa State University, Michigan State University, Northern Illinois University, Northwestern University, Ohio State University, Purdue University, University of Chicago, University of Cincinnati, University of Houston, University of Illinois (Chicago), University of Illinois (Urbana), University of Iowa, University of Michigan, University of Minnesota, University of Notre Dame, University of Pittsburgh, Wayne State University · PARTICIPATING CORPORATIONS:Bellcore, Cray Research, Eastman Kodak, General Motors, Honeywell, IBM, Motorola, 3M, UNISYS INSTITUTE FOR MATHEMATICS AND ITS APPLICATIONS University of Minnesota 514 Vincent Hall 206 Church Street S.E. Minneapolis, Minnesota 55455 FAX {612) 626-7370 telephone (612) 624-6066 ima-staffY.csfsa. cs. umn. eduGumnacvx. bitnet ima-staffY.csfsa'. cs. umn. eduCiumn-cs. cs. umn. edu
IMA Summer Program NEW DIRECTIONS IN TIME SERIES ANALYSIS July 2- July 27, 1990
ORGANIZERS Emanuel Parzen (chairman), David Brillinger, Murray Rosenblatt Murad Taqqu, John Geweke, Peter E. Caines OUTLINE Week 1, July 2-6, 1990 ...... NON-LINEAR MODELS Week 2, July 9-13, 1990 ...... SELF-SIMILAR PROCESSES & LONG-RANGE DEPENDENCE Week 3, July 16-20, 1990 INTERACTIONS OF TIME SERIES & STATISTICS Week 4, July 23-27, 1990 ...... TIME SERIES RESEARCH COMMON TO ENGINEERS & ECONOMISTS *********************************** Partial list of confirmed speakers and participants (in addition to organizers): P. Arzberger S. Durlauf M. Kaveh G. O'Brien F. Sowell F. Avram K. Dzhaparidze B. Kedem H. Oodaira J. Stock P.M. Bleher L. Fahrmeir P.R. Kumar G. Papanicolaou T. S. Rao P. Bloomfield T. Fine M. Lacey J. Peyriere D. Surgailis P. J. Brockwell R. V. Foutz T.Z. Lai G. Picci G. Tauchen S. Cambanis W. Fuller J. Ledolter M. Pourahmadi G. Terdik E. Carlstein A. R. Gallant P.A.W. Lewis M.B. Priestley N. Terrin M. Casdagli W. Gersch K-S. Lii M.L. Puri D.B. Tjostheim K.S. Chan E. Ghysels A. Lindquist A. Raftery H. Tong H. F. Chen G.B. Giannakis A. Lo G. Reinsel K. Truong R. Cioczek A. Gombani M. Maejima J. Rissanen R. Tsay D. Cline D. Guegan P. Major P. Robinson J.K. Tugnait J. Cryer L. Gou B. Mandelbrot H. Salehi J. W. Tukey R. Dahlhaus E.J. Hannan J.M. Mendel G. SamorodnitskyW. Vervaat R. A. Davis E.M. Hemerly S. Meyn J. Scargle M. Watson Y. A. Davydov M. Hinich H. J. Newton J. Siderowich E. Waymire H. Dehling C. M. Hurvich C.L. Nikias C. A. Sims C. Whiteman M. Deistler H. Kaufmann T. Mori V. Solo Y. Yajima S. Zeger 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 write to Avner Friedman, Director, at the above address. PARTICIPATING INSTITUTIONS:Georgia Institute of Technology, Indiana University, Iowa State University, Michigan State University, Northern Illinois University, Northwestern University, Ohio State University, Purdue University, University of Chicago, University of Cincinnati, University of Houston, University of Illinois (Chicago), University of Illinois (Urbana), University of Iowa, University of Michigan, University of Minnesota, University of Notre Dame, University of Pittsburgh, Wayne State University PARTICIPATING CORPORATIONS:Bellcore, Cray Research, Eastman Kodak, General Motors, Honeywell, IBM, Motorola, 3M, UNISYS INTRODUCTION TO FRACTAL GEOMETRY: STATISTICAL DESIGN AND THE THEORY OF ERROR· Mathematical Foundations and ANALYSIS OF EXPERIMENTS CORRECTING CODES, 2nd Ed. Applications With Applications to Engineering Vera Pless, University of Illinois - Chicago K.J. Falconer, University of Bristol, U.K. and Science 1-9228 7-0 224pp Dec. 1989 $33.95 1-61884-5 224pp Sept. 1989 $34.95 R. L. Mason,.. Southwest Research Institute & J. L. Hess, d. DuPont de Nemours & Company 1-85364-X 692pp May 1989 $59.95 ELEMENTS OF COMPUTER INTRODUCTION TO MATHEMATICAL BIOECON· ALGEBRA MODERN SET THEORY OMICS: THE OPTIMAL MAN· Alkiviadis G. Akritas, University of Kansas Judith Roitman, University of Kansas AGEMENT OF RENEWABLE 1-61163-8 415pp March 1989 $46.95 1-63519-7 250pp Nov. 1989 $39.95 RESOURCES, 2nd Ed. Colin Clark, University of British Columbia PRIMES OF THE FORM x2 + ny2 MATHEMATICAL METHODS FOR 1-50883-7 400pp Mar. 1990 $44.95* Fermat, Class Field Theory, and SCIENTISTS AND ENGINEERS Complex Multiplication Linear and Nonlinear Systems NONNEGATIVE MATRICES David A Cox, Amherst College Peter B. Kahn, SUNY at Stony Brook IN DYNAMIC SYSTEMS 1-50654-0 368pp Sept. 1989 $42.95 1-62305-9 656pp Oct. 1989 $54.95 A Berman, Technion, Israel M. Neumann, University of Connecticut & R.J. Stern, Concordia University, Canada Now available in paPerback 1-62074-2 225pp Sept. 1989 $36.95 COMPUTATION FOR THE METHODS OF REPRESENTA· ANALYSIS OF DESIGNED TION THEORY: CHAOTIC DYNAMICS OF EXPERIMENTS With Applications to Finite Groups NONLINEAR SYSTEMS Richard M. Heiberger, Temple University and Orders- Volume 1 S. Neil Rasband, Brigham Young University 1-82735-5 704pp July 1989 $59.95 Charles W. Curtis, University of Oregon 1-63418-2 256pp Nov. 1989 $39.95 and Irving Reiner 1-52367-4 848pp Jan. 1990 $34.95* (paper) ABSTRACT AND CONCRETE LINEAR OPERATORS IN CATEGORIES Jiri Adamek, Technical University Prague, SPACES WITH AN INDEFINITE FOURIER ANALYSIS ON GROUPS Czechoslovakia; George Strecker, METRIC Walter Rudin, University of Wisconsin-Madison Kansas State Universify, & Horst Herrlich, Universitat Bremen T. Y. Azizov and I.S. lokhvidov, Voronezh 1-52364-X 296pp Jan. 1990 $26.95* (paper) State University, USSR 1-60922-6 520pp Feb. 1990 $49.95* 1-92129-7 304pp Mar. 1990 $82.95* To order, write: CHEBYSHEV POLYNOMIALS: JOHN WILEY & SONS, INC. From Approximation Theory to II 605 Third Avenue, Box 0-0168, Algebra and Number Theory, WILEY New York, NY 10158. Attn: S. Franklin, 10th Floor. 2nd Ed. Theodore J. Rivlin, IBM - Thomas J. Watson To order by phone, call toll-free: 1·800·526·5368 Research Center All other inquiries, call: 212-850-6418 1-62896-4 208pp Mar. 1990 $49.95* (*)denotes a tentative, pre-publication price
Prices subJect to change Without notice & higher in Canada A New Way to View Mathematics AMS-MAA Invited Addresses and ICM-86 Plenary Addresses now on videotape/======~
Today's eminent mathematicians ... The AMS is now offering a selection of important mathematics lectures on videotape: Joint AMS-MAA Invited Addresses, presented at the January Joint Mathematics meetings, and Plenary Addresses presented at the International Congress of Mathematicians in August, 1986, as well as some special videos on interesting mathematical topics . ... bring the subject to life Because these lectures are intended to be expository and to appeal to a wide audience, the videotapes make excellent teaching tools. This medium communicates the excitement and enthusiasm for mathematics in a way that written material cannot. Students, teachers, and researchers will all appreciate these videotapes not only for their important mathematical content, but also for the historical perspective and personal touches the speakers bring to them.
Joint AMS-MAA Invited Addresses VHS Format, approx. one hour, o Oscar Zariski and His Work, o Problems in Harmonic Analysis Price $59 each by David Mumford, Related to Oscillatory Integrals o The European Mathematicians· Code VIDMUMFORD/NA and Curvature, by by Lipman Migration to America, o The Story of the Higher-Dimensional Elias M. Stein, Code VIDSTEIN/NA Bers, Code VIDBERS/NA Poincare Conjecture (What Really o Representations of Reductive Lie o Indeterminate Forms Revisited, by Happened on the Beaches of Rio de Groups, by David A. Vogan, Jr., Ralph P. Boas, Code VIDBOAS/NA Janeiro), by Stephen Smale, Code VIDVOGAN/NA o The Topological Constraints on Code VIDSMA/2NA o String Theory and Geometry, by Analysis, by Raoul H. Bott, ICM-86 Plenary Addresses Edward Witten, Code VIDBOTT /NA VHS Format, approx. one hour, Code VIDWITTENfNA o George Cantor: The Battle for Trans Price $49 each o Also available from ICM-86: Addresses finite Set Theory, by Joseph W. 0 Geometry of Four-Manifolds, by on the Work of the 1986 Fields Medalists Dauben, Code VIDDAUBEN/NA Simon K. Donaldson, and Nevanlinna Prize Winner (These four o Arithmetic Progression: From Hilbert to Code VIDDONALDSON/NA talks are on one tape.) Code VIDMEDAL/NA Shelah, by Ronald L. Graham, 0 Underlying Concepts in the Proof of the Code VIDGRAHAM/NA Bieberbach Conjecture, by Louis de On the work of Simon K. Donaldson, Fields On some o Zoll Surfaces, by Victor Guillemin, Branges, Code VIDDEBRANGES/NA Medalist, by Michael F. Atiyah; Code VIDGUILLEMINfNA of the mathematical contributions of Gerd 0 Recent Progress in Arithmetic Algebraic Faltings, Fields Medalist, by Barry Mazur; o Matrices I Have Met, by Paul R. Geometry, by Gerd Faltings, On the work of Michael Freedman, Fields Halmos, Code VIDHALMOS/NA Code VIDFALTINGS/NA Medalist, by John W. Milnor; On the work o Episodes in the Origins of the Represent a- 0 Quasiconformal Mappings, by of Leslie G. Valiant, Nevanlinna Prize lion Theory of Lie Algebras, by Thomas Frederick W. Gehring, Winner, by Volker Strassen Hawkins, Code VIDGEHRING/NA Now Available Through the AMS Code VIDHAWKINS/NA o Soft and Hard Symplectic Geometry o Chaos, Fractals and Dynamics: Computer o How Computers Have Changed the Way I by Mikhael Gromov, VIDGROMOV /NA Experiments in Mathematics, with Robert Teach, by John G. Kemeny, Code Devaney, Code VIDKEMENY /NA o Efficient Algorithms in Number Code VIDDEVANEY /NA Price $59 o The Flowering of Applied Mathematics in theory, by Hendrik W. Lenstra, Code VIDLENSTRA/NA o The Beauty and Complexity of the America, by Peter D. Lax, Mandelbrot Set with John Hubbard, Code VIDLAX/NA o New Developments in the Theory of Code VIDHUBBARD/NA Price $59 o Some Major Research Departments Geometric Partial Differential Equations, by Richard M. Schoen, o Introducing Mathematica, with Stephen of Mathematics, by Wolfram, Code VIDWOLFRAMfNA Saunders Mac Lane, Code VIDSCHOEN/NA Price $49 Code VIDMACLANE/NA o Classifying General Classes, by o Transonic Flow and Mixed Equations, Saharan Shelah, by Cathleen S. Morawetz, Code VIDSHELAH/NA Code VIDMORAWETZ/NA o Complexity Aspects of Numerical Analysis, by Stephen Smale, Code VIDSMALE/NA
PREPAYMENT REQUIRED. Order from American Mathematical Society, P.O. Box 1571, Annex Station, Pro~idence, RI 02901- 1571 USA or call ( 800) 321-4AMS to charge on VISA or MasterCard. All prices are subject to change without notice. Free shipment by surface; for air delivery add: 1st video $5, each add'! $3, max. $100. Arizona Center for the Mathematical Sciences announces the Fourth Annual Workshop for Advanced Undergraduates CURRENT IDEAS IN THE MATHEMATICAL SCIENCES March 3-6, 1990
The main goal of these workshops is to communicate to potential graduate students the level of excitement and activity in mathematical sciences today. The program will focus on topics in three areas: 1. Geometry in Analysis and Number Theory
2. Numerical Methods for Multi-Scale Problems 3. Mathematical Applications in the Life Sciences
Partial travel and subsistence suppon is available. The deadline for application material is February 2, 1990. Direct all correspondence to:
W. M. Greenlee or T. W. Secomb Department of Mathematics, Program in Applied Mathematics University of Arizona, Tucson, Arizona 85721 (602) 621-4664
GRADUATE FELLOWSHIPS AT $12K PER ANNUM Mathematical Sciences, University of Arizona
Up to 15 fellowships for outstanding new graduate students in the mathematical sciences will be available 1990-91. Fellowship applicants should be seeking the Ph.D. and planning careers in teaching and/or fundamental research. Anticipated stipends are $12,000 for 12 months with both in-state and non-resident tuition waived.
While a few fellowships may be offered to foreign students, most are restricted to citizens, permanent residents, or individuals who have established intent to become citizens or permanent residents of the United States. Applications from U.S. women and students belonging to U.S. minority groups are particularly invited. Currently one-third of the U.S. graduate students in pure and applied mathematics at Arizona are women.
The University of Arizona has excellent programs in traditional pure and applied mathematics, and is a leading institution in interdisciplinary applied mathematics. This presents a wealth of opportunities for graduate study encompassing such areas as dynamical systems, number theory, computational science, computational group theory, nonlinear partial differential equations, mathematical physics, probability and problems in theoretical engineering and interdisciplinary applied physics. In addition, outstanding computational facilities for graduate study and research are available to the over 165 graduate students in the mathematical sciences at the University of Arizona.
Fellowship applicants of superior quality will be among the students invited to the Fourth Annual Workshop for Advanced Undergraduates on Current Ideas in the Mathematical Sciences, March 3-6, 1990. Limited support is available for attendees. The workshop is designed to communicate topics in current active research in three areas: (i) Geometry in Analysis and Number Theory, (ii) Numerical Methods for Multi-Scale Problems, and (iii) Mathematical Applications in the Life Sciences.
For information and application materials write: W. M. Greenlee or T. W. Secomb, Department of Mathematics/Program in Applied Mathematics, University of Arizona, Tucson, AZ 85721 (602) 621-2068.
The University of Arizona is an EOE/AA Employer PUBLICATIONS OF 1: ENSEIGNEMENT MATHEMATIQUE
Masaki KASHIWARA: Introduction to microlocal analysis These survey lectures were given at the University of Bern under the sponsorship of the International Mathematical Union. They explain the microlocal point of view (consideration of the cotangent bundle) for the study of linear differential equations. 38 pages, 1986; 20 Swiss Francs.
Shing Tung YAU: Nonlinear analysis in geometry This is an expanded version of survey lectures held at the ETH-Zurich under the sponsorship of the International Mathematical Union. Contents: Linear equations: spectrum of Laplacian and harmonic functions. Semi-linear equations: Yam abe problem related to conformal deformation. Minimal surface equations and harmonic maps. Kahler geometry. 56 pages, 1986; 25 Swiss Francs.
NEW Vladimir I. ARNOLD: Contact geometry and wave propagation These survey lectures were given at the University of Oxford under the sponsorship of the International Mathematical Union. Contents: Characteristics, Submanifolds, Legendre fibration and singularities, Legendre varieties and the obstacle problem. 56 pages, 1989; 27 Swiss Francs.
20% discount available on prepaid orders placed with L: Enseignement Mathematique POB 240, CH-1211 Geneva 24, Switzerland EM
Centre de Recherches Mathematiques CRM SUMMER SCHOOL 1990 (JULY 2. AUGUST 10, 1990) , REPRESENTATIONS DES GROUPES ET DES ALGEBRES' DE LIE Organizer: Robert P. Langlands DuringtheperiodfromJuly2toAugust10,1990,theCentredeRecherchesMathematiqueswilloffergraduatecoursestostudentshaving knowledge of the standard material from general topology, modern algebra, and functional analysis and measure theory. The central theme will be group representations and their applications in mathematical physics and number theory. The courses are free and there will be fellowships to defray living and travel expenses. COURSES coursel R.Bedard Groupes lin/aires alge'briques course 3 P.Kutzko Local class field theory & the representation (UQAM) (Univ. oflowa) theory of GL(N) of a p-adic field course2 A. W. Knapp Representations of real reductiTJe groups course4 Y. Saint-Aubin Algebres de Lie de dimension infinie et (SUNY at Stony Brook) For further Information please contact: Ms. Sylvie Chenevert, CAM, Universite de Montreal, C.P. 6128-A, Montreal, (Quebec), Canada, H3C 3J7, Tel.: (514) 343-7501 or 343-2197, Fax: (514) 343-2254, e-mail:[email protected] [email protected] Director: Francis Clarke University of Wyoming C e n t r e de R e c h e r c h e s M a t h em a t i q u e s Rocky Mountain Mathematics Consortium Regional Summer School ENRICHING DISCRETE MATHEMATICS COURSES WITH RECENT DEVELOPMENTS July 16 - August 3, 1990 The course will address selected important and recent developments in discrete mathematics. The goal is to more quickly incorporate such mod ern discoveries in this rapidly expanding field into college courses at all grade levels. Many new advances are in fact highly suitable for enrich ing and modernizing basic courses. Both fundamental theoretical results CRM, a national research center genetics and resources. How and contemporary applications will be covered. Some of the topics to for mathematics and its applica ever, high-quality applications be included are: developments on the marriage problem and fair divi tions, announces the creation of in all fields are welcome . sion schemes, Hamiltonian cycles for binary trees (the Catalan numbers), its postdoctoral program, with two the famous labeling lemmas of Sperner and Tucker with applications to fellowships in 1990-91, each Applications, which should be labeling and path following algorithms for finding equilibrium and fixed points, the combinatorial structure for power indices in political science, renewableforasecondyear. The complete by February 16, 1990, and combinatorial aspects of polytopes. annual stipend is $26 000 CDN; comprise a curriculum vitae, a PREREQUISITES: Familiarity with basic linear algebra and some expo no teaching duties are involved. statementofresearchinterestsand sure to elementary discrete mathematics is desirable. Applicants should have received plans, and three letters of recom SPEAKERS: William F. Lucas, The Claremont Graduate School, will lec the PhD by September 1, 1990. mendation sent directly to: ture during the three weeks. Carl W. Lee, The University of Kentucky, will lecture throughout one week. A few additional lectures will be presented The fields ofresearch represented .·!r~~~i$ t;~~r~~~•t)ii~~*§i. by distinguished experts in the subject. at CRM include analysis, dif Lawrence E. Thomas, Chainnan STATEMENT OF OWNERSHIP Department of Mathematics AND MANAGEMENT University of Virginia Notices of the American Mathematical Society is published Charlottesville, Virginia 22903 monthly in January, February, March, April, June, August, September, October, November and December of each year The Department of Mathematics is seeking an out by the American Mathematical Society. The Office of Pub standing candidate for a tenure-track position at lication and the General Business Office are located at 201 any level. Preference is to be given to applicants with Charles Street, Providence, Rhode Island 02904. The Pub interests in mathematical physics and with a strong lisher is the American Mathematical Society. The Managing commitment to teaching. Editor is Donovan Von Osdol, American Mathematical So ciety, P.O. Box 6248, Providence, RI 02940. There are no In addition, the department expects to fill its Whyburn bondholders, mortgagees or other security holders. Instructorship. Applicants should show exceptional Extent and Nature of Circulation. Average number promise in teaching and research. 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Second class postage is paid at Providence, Rhode Island Volume 37, Number I, January 1990, Pages 1- 112 Copyright @ 1990 by the American Mathematical Society US ISSN 0002-9920 I r---___NEW ______= I H REVIEWS VOLUMES B Reviews in Operator Theory, 1980-86 Introduction by Paul R. Halmos Operator theory is the branch of mathematics that treats the objects of analysis (numerical valued functions and their limiting properties) by the methods of modem topology and algebra. While, roughly speaking, the area 46 deals primar ily with the objects (i.e., topological vector spaces) associated with the category of topological linear algebra, the area 47 deals with the morphisms between these objects (i.e., the mappings-both linear and nonlinear-between these spaces). Although functional analysis and operator theory developed as identifiable fields in the early part of this century they have seen tremendous growth in the past few decades and have found applications to diverse areas, both to purely mathematical areas and to other scientific disciplines. These volumes contain a wealth of information about linear operators, algebraic systems of linear operators, differential and integral operators, and nonlinear operators. All the Mathematical Reviews entries having operator theory (MR classification number 47) as a primary or secondary classification between 1980 and 1986 appear in these volumes. Within each section, reviews are ordered by their MR number. 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Evolution Price: US $89. 75/Dfl. 175.00 Problems (H. Fujita and T. Suzuki). ISBN 0-444-88382-7 The objective of this book is to report the ~tt.::•ring Theory for results of investigations made by the authors into certain hydrodynamical models with .,.ur·u:.rlnn•ic Operators nonlinear systems of partial differential equations. Graph Theory and This is the first in a will cover all the Combinatorics 1988 Analysis, serving as (Proceedings of the Cambridge on the subject. Combinatorial Conference in Honour of Paul ErdOs, Cambridge, UK, March 1988) Contents of Volume /: ng Theory for dissipative and Methods: Introduction IAnf~nn'Ant "'"''t"''m"' has been edited by B. Bollobas Difference Methods in the last fifteen years. Equations (V. mn.nr~mh presents an approach which (Annals of Discr,ete Mathematics, 43) Alternating Direction to spaces of both even and Reprinted from the journal Discrete (G./. Marchuk). Solution Mathematics Least Square Methods (A. 1989. 1st repr. 1989 viii + 410 pages VOLUME II ry Value Problems in Price: US $128.25/Dfl. 250.00 Finite Element Methods csof ISBN 0-444-87329-5 1990 In preparation Combinatorics has, in the last quarter of a century, seen an explosive growth in the Contents: Introduction subject, largely due to the doyen of Error Estimates for combinatorialists, Paul ErdOs, whose (P.G. Ciarlet). Local HAin::~\rlnr penetrating insight and insatiable curiosity Element Methods (L.B. has provided a huge stimulus for workers in Hybrid Methods (J.E. Roberts the field. Send this form (or a photocopy) to publications indicated below: supplier, or to one of the In the USA Elsevier Science PO Box 882, Madison (Bank Draft/Eurocheque/lnternational Money Order New York, Purchase Order Form). In all other card: Elsevier Science attn: Marijcke Haccou, D MasterCard D American Express D VISA 1000 AC Amsterdam, The Valid until US $prices are valid only in the USA and Canada. In all other countries the Dutch Guilder (Dfl.) price is definitive. No postage will be added to prepaid book orders. Customers in The Netherlands, please add 6% BTW. In New York State, please add applicable sales tax. NORTH-H All prices are subject to change without prior notice. What's New from Springer-Verlag? Look Here Each Month to Find Out! G. Gra6hoff, University of Hamburg, FRG New in the Readings in Mathematics series at the graduate · The History of Ptolemy's Star Catalogue level- R. Remmert, University of Munster, FRG Here is a two-fold history of Ptolemy's star catalogue, found Theory of Complex Functions in the seventh and eighth books of Ptolemy's Alamagest, a translated from the German by R.B. Burckel, work which from its conception in the second century until the Kansas State University late Renaissance defined astronomy. The book describes the history of the various interpretations of the catalogue's origins. Material from function theory up to residue calculus is Each contribution is treated in its historical sequence and an covered here in a lively and vivid style. Also included is ample appendix includes a catalogue of all data and identification discussion of the historical evolution of the theory, biographi maps for all constellations. cal sketches of important contributors, and citations (original 1990/app. 352 pp./61 illus./Hardcover $63.00 language together with English translation) from their classical ISBN 0-387-97181-5 works. Studies in the History of Mathematical and Physical This book, as with other volumes which will be included in the Sciences, Volume 14 Readings in Mathematics (RIM) series, is meant to be used for a readings course or as a supplement to a core text. Students J. Liitzen, University of Copenhagen, Denmark making their way into a classical area of mathematics will find Joseph Liouville 1809-1882 Theory of Complex Functions useful. It includes many Master of Pure and Applied Mathematics examples and pract.ice exercises and offers quick access to essential results. The first part of this scientific biography contains a chrono Teachers and mathematicians interested in the history of logical account of Liouville's career, and the second part gives science and mathematics will also enjoy reading this book. a detailed analysis of his major contributions to mathematics 1990/app. 440 pp./68 illus./Hardcover $59.00 (tent.) and mechanics. It reconstructs his work on potential theory, ISBN 0-387-97195-5 Galois theory, electrodynamics, and theories on the stability Graduate Texts in Mathematics, Volume 122 of rotating masses of fluid. It also incorporates valuable added Readings in Mathematics information from Liouville's notes regarding his works on differentiation of arbitrary order, integration in finite terms, Reprint! Sturm-Liouville theory, transcendental numbers, doubly M.A. Armstrong, University of Durham, England periodic functions, geometry and mechanics. Basic Topology 1990/app. 815 pp./96 illus./Hardcover $98.00 3rd Printing, 1990 ISBN 0-387-97180-7 Studies in the History of Mathematical and Physical Provides a broad introduction to topology. Students with a Sciences, Volume 15 knowledge of real analysis, elementary gioup theory, and linear algebra will quickly become familiar with a variety of New, Second Edition! techniques and applications involving point set, geometric, T.M. Apostol, Caltech, Pasadena, CA, USA and algebraic topology. Includes over 350 exercises of vary Modular Functions and Dirichlet Series in ing difficulty. Number Theory 1987/252 pp., 132 illus./Hardcover $29.80 (tent.) ISBN 0-387-90839-0 Second Edition From the reviews of the first edition: "Beautifully written, discusses some fascinating topics and is a delight to read. In fact, it is surprisingly easy to read, in particular in view of the enormous amount of material Order Today! presented ... Each of its chapters ends with a set of exercises, so that the book may well be used as a textbook." Call TOLL FREE 1-800-SPRINGER (in NJ, 201-348-4033) -Mathematical Reviews or send payment, including $2.50 for shipping and handling, This Second Edition contains a supplement to Chapter 3, an to: Springer-Verlag New York, Inc., Attn: S. Klamkin- Dept. alternate proof of Dedekind 's function equation. Emphasis is S393, 175FifthAve.,NewYork,NewYork 10010. 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