OTICES OF THE
AMERICAN MATHEMATICAL SOCIETY
Graduate Education in Mathematics Is it Working? page 266
University Park Meeting (April 7-8) page 297 Albuquerque Meeting (April 19-22) page 305
MARCH 1990, VOLUME 37, NUMBER 3
Providence, Rhode Island, USA ISSN 0002-9920 I 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 Expired March 858 • April19-22, 1990 Albuquerque, New Mexico Expired March 859 • August 8-11, 1990 Columbus, Ohio May 18 July1 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 South Bend, 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 (100th Annual Meeting) • Please refer to page 179 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
April Issue May-June Issue July-August Issue September Issue Classified Ads* March 6, 1990 April 23, 1990 June 14, 1990 July 30, 1990 News Items March 5, 1990 April 25, 1990 June 18, 1990 August 3, 1990 Meeting Announcements•• Feb 27, 1990 April16, 1990 May 29, 1990 July 19, 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 263 Letters to the Editor 266 Graduate Education in Mathematics: Is it Working? 284 News and Announcements Despite the fact that mathematics education reform is being discussed in many forums-from government to business to academia-doctoral 293 Funding Information for the education in mathematics has largely gone unexamined. What is the Mathematical Sciences mathematical sciences community saying about graduate education? Allyn 294 For Your Information Jackson's report focuses on the Joint Mathematics Meetings in Louisville 295 AMS Elections in January, which provided a forum for discussion of this issue. 297 Meetings and Conferences of the AMS University Park, PA April 7-8, 297 FEATURE COLUMNS Albuquerque, NM Apri/19-22, 305 Invited Speakers, 315 269 Computers and Mathematics Jon Barwise AMS-SIAM Summer Seminar, 318 This month's column contains a discussion of TE'(, by Michael Doob and AMS Summer Research Institute, several reviews: SNAPPEA by Colin Adams, Derive by Phil Miles, and ISETL 319 by Donald Muench. Symposium on Some Mathematical Questions in 280 Inside the AMS Biology, 321 Call for Topics, 322 Frederick Gehring, chairman of the AMS Membership Committee, discusses the objectives and some of the activities of the Committee, and 324 Mathematical Sciences Meetings Herb Clemens announces the formation of the AMS Ad Hoc Committee on and Conferences Cooperation with Latin American mathematicians. 335 New AMS Publications 339 AMS Reports and 282 Washington Outlook Communications This month, Hans J. Oser examines the 1991 Presidential budget, and how Recent Appointments, 339 it affects Science & Technology in general & the NSF in particular. Reports of Past Meetings, 340 342 Miscellaneous Personal Items, 342 Deaths, 342 Visiting Mathematicians (Supplement), 342 343 Backlog of Mathematics Research Journals 346 New Members of the AMS 354 Classified Advertising 373 Forms
MARCH 1990, VOLUME 37, NUMBER 3 261 AMS Russian Translation Program
I would like to report on dramatic changes taking place in the Society's Rus sian Translation Program and, more generally, in the relationship between the Society and the Soviet mathematical and publishing communities. AMERICAN MATHEMATICAL SOCIETY The Society began its Russian Translation Program, with the aid of gov ernment grants, in 1949. The Program has been guided over the years by the Committee on Translations from Russian and Other Slavic Languages, now a joint Committee with the Institute of Mathematical Statistics, The
EDITORIAL COMMITTEE Association for Symbolic Logic and the Society for Industrial and Applied Robert J. Blattner, Michael G. Crandall Mathematics. By 1988, the Program had grown to include three book series, Robert M. Fossum (Chairman) six Russian translation journals and a Russian-English Dictionary. Lucy J. Garnett, D. J. Lewis The Society is committed to producing high-quality, low-cost translations. Nancy K. Stanton, Robert E. L. Turner The outstanding quality of our Program is recognized in both the Russian MANAGING EDITOR and English-reading communities. Over the years, the Society has received Donovan H. VanOsdol requests from both communities to become more active in seeking and con tracting for books and in supporting more translation journals. In 1988, ASSOCIATE EDITORS the Society arranged for the consulting services of four distinguished Soviet Ronald L. Graham, Special Articles mathematicians and hired an acquisition editor for the Russian Translation Jeffrey C. Lagarias, Special Articles Program to identify Soviet mathematics of the very highest scientific quality. SUBSCRIPTION INFORMATION These acquisition activities have brought exciting additions to our Russian Subscription prices for Volume 37 (1990) are Translation Program. We are adding two new Russian translation journals $113 list; $90 institutional member; $68 individual ·through cooperation with the Leningrad Mathematical Society, Leningrad member. (The subscription price for members is Mathematical Journal and Proceedings of the Leningrad Mathematical Soci included in the annual dues.) A late charge of 10% of the subscription price will be imposed ety, in addition to two new Russian translation book series, Proceedings of upon orders received from nonmembers after Regional Conferences and Advances in Soviet Mathematics. The latter is a January 1 of the subscription year. Add for post joint venture with the Academy of Sciences of the USSR and will be pub age: Surface delivery outside the United States lished only in English. There will also be translations of several new Russian and lndia-$11; to lndia-$22; expedited deliv ery to destinations in North America-$24; else books not in series, including expository writings in mathematics to be pub where-$49. Subscriptions and orders for AMS lished in cooperation with the Mathematical Association of America. The publications should be addressed to the Amer Society has co-publishing agreements with several Soviet publishing houses, ican Mathematical Society, P.O. Box 1571, An and the books published under these cooperative activities will appear in the nex Station, Providence, Rl 02901-1571. All or ders must be prepaid. continuing series Translations of Mathematical Monographs. Furthermore, the long-awaited update and expansion of the Russian-English Dictionary ADVERTISING (the Lohwater Dictionary) will be published this year. Notices publishes situations wanted and classi Our activities have also led to changes in our interactions with the Sovi fied advertising, and display advertising for pub ets. Contractual arrangements concerning copyright have heretofore been lishers and academic or scientific organizations. Copyright @ 1990 by the American Mathemat conducted on behalf of the Soviet authors through the offices of the state ical Society. All rights reserved. Printed in the copyright agency, VAAP; now, the Society negotiates directly with Soviet United States of America. mathematicians (copyright contracts currently must still be countersigned by The paper used in this journal is acid-free and VAAP). The amount of translation now being done in the Soviet Union has falls within the guidelines established to ensure increased considerably. Likewise, scientific editing will now be done in the permanence and durability. @!Most of this publi USSR for some of the new books in the Russian Translations Program. Fi cation was typeset using the TEX typesetting sys tem. nally, the Society is training several Soviets for keyboarding in AMS-TEX [Notices of the American Mathematical Society is for later typesetting at the Society offices. published ten times a year (January, February, This account of changes in the Society's relationship with the Soviet math March, April, MayfJune, July/August, Septem ematical and publishing communities would not be complete without men ber, October, November, December) by the Amer all: ican Mathematical Society at 201 Charles Street, tioning the most dramatic change of the opening of the Soviet Union Providence, Rl 02904-2213. Second class post and the resulting personal contacts and exchanges between Soviet and West age paid at Providence, Rl and additional mailing ern mathematicians. The AMS is discussing cooperative activities with sev offices. POSTMASTER: Send address change no eral Soviet mathematical societies. Soviet mathematicians have been most tices to Notices of the American Mathematical So responsive to cooperative activities with the Society, and their support has ciety, Customer Service Department, American Mathematical Society, P. 0. Box 6248, Provi facilitated many delicate contractual negotiations with Soviet agencies. These dence, Rl 02940-6248.] Publication here of the new exchanges have resulted in friendships with Soviet mathematicians and Society's street address, and the other informa their families and friends. The real drama of change is with the lives of tion in brackets above, is a technical requirement individuals. of the U. S. Postal Service. All correspondence should be mailed to the Post Office Box, NOT the William Jaco street address. Executive Director
262 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY ics difficult and question its value lidity, it is analogous to stating that Letters for them. Parents recall their own the problem with night is that the experiences and readily make ex sun doesn't shine. In both instances, to the Editor cuses for the lack of interest and useful illumination must be achieved success of their offspring in mathe some other way. And proposed re matics. Government and industry cry forms make clear and underline the for better mathematics education fol need to make mathematics more than Boycotting Scientific Visits to lowing each report which compares a spectator sport. The real issue is China American students' performance in can we do better, and many people The undersigned are among those mathematics to that of their foreign believe we can. Would it help if stu who have had the happy experience counterparts. And the final blow must dents worked harder and were better of visiting China for mathematical be the suggestion by the mathemat prepared. Certainly! But that will be reasons in the past decade. We are ics establishment that the problem true with an old curriculum or a new saddened by the massacre of June 4, lies in what and how mathematics is curriculum. Can we offer a better 1989, in Beijing and wish to share being taught. That comes very close mathematics education to those who our sentiments in this matter with to saying the problem lies with the do study mathematics? Can we get our colleagues. teachers! Although that is not the more students interested in mathe As scientific visitors we admire intent of recent calls for reform, I matics, students who will stay with the new China and feel fortunate that suspect that is at the heart of the the sciences and mathematics, stu we could contribute in a very small recent article "A Differing View on dents who will go on to be engi way to its progress towards modern Mathematics Education Reform" by neers, biologists, economists as well ization. We are, however, appalled E. G. Palais which appeared in No as physicists, chemists or mathemati- by the brutal suppression of peace tices (November 1989, p. 1189). ful demonstrations of the students Her article begins by linking cur Policy on Letters to the Editor and citizens and by the dishonesty rent plans for reform to the "New Letters submitted for publication in Notices of the official government explana are reviewed by the Editorial Committee, Math". And while we would all tion of what happened. Inasmuch as whose task is to determine which ones are like to forget the experience of the further visits to China might be in suitable for publication. The publication mathematics community with "New schedule normally requires from two to terpreted as endorsing the course of Math", we can't. But current ef four months between receipt of the letter in action of the present government, we forts are truly different. No curricular Providence and publication of the earliest shall refrain from such visits until issue of Notices in which it could appear. changes are being imposed from the the hunting down of dissident stu Publication decisions are ultimately top, and practicing school teachers dents and the gagging of their free made by majority vote of the Editorial are providing much of the impetus Committee, with ample provision for prior speech cease. and leadership for the proposed re discussion by committee members, by mail We continue to be willing and forms. or at meetings. Because of this discussion eager to help our Chinese colleagues period, some letters may require as much But let us talk about change itselfl in every other way. as seven months before a final decision is First, it has been over a decade since William B. Arveson made. Letters which have been, or may be, real serious thought was given to the published elsewhere will be considered, but Michael F. Atiyah contents of the school mathematics the Managing Editor of Notices should be Hyman Bass curriculum except on an ad hoc ba informed of this fact when the letter is sub (Received October 10, 1989) mitted. sis. But both mathematics and the The committee reserves the right to [Note]: This letter was signed mathematical needs of society have edit letters. jointly by 52 mathematicians of changed more in this decade than in Notices does not ordinarily publish which the above are the first three the previous century. The now ubiq complaints about reviews of books or arti in alphabetical order. The complete uitous computer has seen to that. cles, although rebuttals and correspondence list of all 52 signatories appears on concerning reviews in Bulletin of the Amer Moreover, we are not talking about ican Mathematical Society will be consid page 362. starting over, and people are look ered for publication. All published letters ing at what works and what doesn't. must include the name of the author. A Differing View on Unfortunately, much doesn't work. Letters should be typed and in legible Mathematics Education Reform Further, although we are some form or they will be returned to the sender, possibly resulting in a delay qf publication. Teaching high school mathematics what reluctant to admit it, kids are Letters should be mailed to the rditor must be frustrating! The subject different. While the wistful comment of Notices, American Mathematical Soci seems to be disliked by students and that the real problem is getting stu ety, P.O. Box 6248, Providence, RI 02940, parents. All seem to find mathemat- dents to work may have some va- and will be acknowledged on receipt.
MARCH 1990, VOLUME 37, NUMBER 3 263 Letters to the Editor cians? Can we equip students with each entry. I would also like to see In 1987 the Department of Math the increased mathematics necessary the style of entries changed. Perhaps ematics and Statistics at The Wichita for the current job market? the term "abstract" should be re State University approached Boeing These are the questions and hope placed by "preview," or something Military Airplanes, a company with fully all of us can work together to else (in some sense they are really a local presence, with a proposal answer them in the affirmative. It will advertisements). The preview should to develop a lecture series. The lec not be easy but the stakes are high be written to stimulate the interest of ture series would bring well-known and the time is right! the reader and attract an audience for mathematicians to The Wichita State Ronald G. Douglas the paper. Precise statements of re University to make presentations on State University of New York sults (incomprehensibly condensed) selected topics in the mathematical at Stony Brook would not be required, or necessar sciences. (Received December 15, 1989) ily encouraged. Some sort of editing A partnership between Boeing Mil and refereeing will undoubtedly be itary Airplanes and the Mathematics Revamping and Revitalizing needed, but a publication of a pre and Statistics Department at The Wi Abstracts view should not have to mean that chita State University was established I would like to propose that the someone vouches for the correctness for the purpose of developing the lec Abstracts of the AMS be revamped of the paper-only that it appears ture series. Our department agreed to and revitalized. As it is now, the to be of interest to a reasonably serve as host and to be responsible Abstracts serves the function of in sized audience. I would hope that for presenting the lecture series. In forming the readers of the contents an author of a preview would be re return, Boeing agreed to sponsor the of talks given at AMS meetings, but quired to simultaneously submit the series. the "Abstracts presented by title" sec preprint, and agree to send it to ev Each partner has enjoyed numer tion strikes me as totally worthless. It eryone who requests it. ous benefits from the lectures pre seems that the overwhelming major This proposal makes demands on sented in the series. For example, ity of the membership is deliberately time and money from the Society. Boeing personnel have found fresh boycotting this section, as if it were Would it be worth the cost and ef approaches and new insights into well known that only "losers" pub fort? This is a question the member technical problems encountered in lish there-which soon becomes a ship should consider. I would say, their work and our faculty members self-fulfilling prophecy. however, that one more ingredient have likewise gained insight into cur This is really a shame, because I is needed for this project to succeed: rent research areas. think there is a genuine need for a the participation of mathematical au In the first two years of the lec good early notice medium, and the thors. Sending previews to the new ture series, we have been visited by Abstracts could fill this need. I would Abstracts has to be a desirable activ twenty-four noted researchers in the guess that the average waiting time ity for all mathematicians, not just mathematical sciences who represent between submission and publication the desperate or the down-and-out. universities in thirteen states (from of an article is at least two years, and One way to encourage this would be coast to coast) and seven foreign there is no sign of this decreasing in to make the publication of research countries. As a consequence, The the future. But a lot happens dur announcements in the Bulletin con Wichita State University mathemat ing this waiting period. The author ditional on an invitation from an ics faculty has become much more is likely to get a lot of useful feed editorial committee that selects from widely known. This has contributed back from those who read the paper submissions to the Abstracts. to the recognition of our Ph.D. pro in preprint form, often leading to Robert S. Strichartz gram. Likewise, Boeing Military Air improvements in the published ver Cornell University planes benefits from the broad expo sion, and the readers in turn benefit (Received December 26, 1989) sure of the Boeing Lecture Series in by being able to develop and extend the academic world. the results of the paper in their own The Boeing Lecture Series in Whereas additional public funds work. But the delivery system for the Mathematical Sciences for a lecture series would be diffi preprints is hit-and-miss at best, and We would like to share the develop cult for us to obtain, Boeing would discriminatory at worst. The goal of ment of a successful cooperative pro have an equally difficult time mak a good Abstracts should be to make gram between industry arid our de ing the arrangements for lecturers to preprints available to everyone who partment. We hope that other math talk to their workforce. This is just is inte-rested. ematics departments will find our one example of the symbiotic rela To this end, I would like to see example useful in developing similar tionship established by the series in an expanded Abstracts, with many programs which gain local industrial which both partners received bene more entries and more space for support. fits far greater than their individual
264 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Letters to the Editor contributions. applications for a senior level tenured My use of the term "debunked" Cooperative efforts, such as the appointment in the Department of was ill-advised and rather careless. I lecture series, abound with industry Mathematics. I would not have ap have not seen studies that have de and departments of engineering. We plied if the advertisement had said bunked Benbow-Stanley in the sense believe it is noteworthy that this en tenure track rather than tenured. I of finding actual errors or falsehoods deavor involves industry and the De was fortunate to be offered the po in that study. I should have said that partment of Mathematics and Statis sition. However, the offer was made many have been critical of the study tics. In fact, we have not been able without tenure and upon inquiry the and the conclusions inferred from to identify a similar relationship be Provost of the university wrote "The it. In addition, a good deal of the tween industry and a department of awarding of tenure upon hiring is negative reaction to Benbow-Stanley mathematics at any other university something that has not been done seems actually to have stemmed from in the United States. here even for holders of our endowed media accounts which exaggerated The opportunity must exist for and eminent scholar chairs". and distorted the conclusions of the other departments of mathematics The university explicitly adver study-accounts that Benbow and to establish similar partnerships with tised a tenured position knowing that Stanley themselves say they regret. industry. How does a department in reality it was only tenure track. The original study, "Sex Differences solicit financial assistance from busi Kenneth S. Williams in Mathematical Reasoning Ability: ness or industry to sponsor such a Carleton University Fact or Artifact?" (Science, 12 De program? We feel we were successful (Received October 24, 1989) cember 1980, volume 210, pages because we neither went hat-in-hand 1262-1264), as well as other writ begging for money, nor did we de ings by these researchers, are gener Addition versus Replacement mand support. Rather, we presented ally circumspect and careful in their Sandra Harding in her letter (Decem a list of outcomes whose benefits far explanations of the boys' superior ber 1989 Notices) quotes Stephen Jay outweighed the investment. In this achievement on the SAT. Gould, "Science advances primarily way, the company could see exactly Whether or not their explanations by replacement not by addition." We what their financial support was buy are correct is a different matter, and should, however, be reminded that ing and make their decision based one which I do not feel qualified to mathematics advances primarily by upon the return on their investment. judge without further study of the addition not by replacement. We like this approach because we literature. It is clear, though, that the John Mitchem feel that mathematics, as the engine Benbow-Stanley hypothesis of "su San Jose State University which drives the technological devel perior male mathematical ability" is (Received January II, 1990) opment in engineering and related far from unanimously accepted. For disciplines, offers the greatest return interested readers, a good source of for each dollar invested. Author's Note information on both sides of the con Gary D. Crown A reader of my article "Feminist Cri troversy is Behavioral and Brain Re The Wichita State University tiques of Science," which appeared search, June 1988, Volume 11, Num (Received November 13, 1989) in the July/ August 1989 issue of No ber 2, pages 169-232, which contains tices, has called to my attention a a survey article by Camilla Benbow Advertisements for Positions problem with a statement I made. In together with critical commentary by Applicants for positions advertised the article, I said that the Benbow more than 40 other researchers in in Notices should be aware that in Stanley study has been "debunked various fields. The article includes an reality things may not be as stated in by many critics." The study found extensive bibliography of much of the advertisement. that boys predominate among the the literature on this topic. I responded to an advertisement high scorers when mathematically placed by Florida Atlantic University talented youngsters take the math in the November 1989 issue of No ematics portion of the Scholastic Ap Allyn Jackson tices (Vol. 35, No.9, p. 1429) inviting titude Test. Staff Writer
MARCH 1990, VOLUME 37, NUMBER 3 265 Graduate Education in Mathematics Is it Working?
Graduate education in mathematics has remained rela discipline, have a situation where only a very small tively unscathed as the critiques fly back and forth in the percentage of the population ever does any research current debate on mathematics education reform. But, beyond their Ph.D. It's not clear to me that we're even judging by some of the discussions at the Joint Mathe doing good graduate education to enable people to do matics Meetings in Louisville in January, this preferred mathematics research, much less teaching." treatment isn't likely to continue. During the Meetings, Stakgold went on to offer a number of suggestions for there were rumblings that perhaps all is not well in change, such as a balance between group and individual doctoral training in mathematics. Some of the problems activities (through problem seminars, for example), a most frequently cited are too much specialization, too component on computation, seminars built around mod little emphasis on quality teaching, a lack of experience ern mathematical themes to draw connections between with collaborative research and computation, and an different areas, and special programs for those seeking environment that does little to encourage women and industrial positions. But given the amount of material underrepresented minorities to enter the field. that graduate students are already expected to master and the ever-lengthening average time to finish the doctorate, is it feasible to require yet more of students? Stakgold Traditional Training suggested that perhaps there could be two tracks to the Ivar Stakgold, president of the Society for Industrial and Ph.D., one for research, and a second that would not Applied Mathematics and professor at the University of necessarily include original research but would produce Delaware, was a speaker at a panel discussion on graduate a scholar with broad mathematical training and skills. education at the Louisville meeting. He acknowledged Stakgold said he was not recommending reviving the that the present doctoral training system has produced "doctor of arts" degree of the 1960s, which was created at a remarkably strong research establishment, "but at a time when many feared a shortage of mathematicians what cost?" he asked. "I don't mean financial cost. I to fill faculty vacancies. Because the degree permitted mean the cost of unfulfilled obligations and the cost critical, historical, or expository theses in lieu of the of missed opportunities. There is in my view a very traditional research dissertation, it was thought that serious mismatch between what graduate education is in D.A. students would be able to finish more quickly, thus mathematics and what the employment needs are." alleviating the projected faculty shortage. The idea never Graduate students are still trained in the traditional really caught on, though, and faculty vacancies were manner with a heavy emphasis on research, Stakgold quickly filled as the number of mathematics doctorates noted, despite the fact that most new Ph.D.s will end rose rapidly in the early 1970s. (Some schools still offer up with positions at institutions where teaching, not re the D.A. degree-they are listed periodically in Notices.) search, is the principal duty. As for industrial positions, Stakgold says he believes current production of tradi he asserted that the standard beginning graduate courses tional, research-oriented doctorates is sufficient. During "do not provide the intellectual, philosophical, and his the Meetings, others echoed this view, including one torical overview" of mathematics that is necessary to audience member at another session, who said he wel develop the skills required in most industrial positions. comed the drop in the number of doctorates, after Most agree that teaching skills are lacking in Ph.D. witnessing the disastrous job market of the early 1970s. training, but some also question the effectiveness of At that time, around one-third more Ph.D.s were being research training. During the panel discussion, Judith produced than now, and many went without jobs. But S. Sunley, director of the Division of Mathematical Kenneth Hoffman, executive director of the Mathemati Sciences at the National Science Foundation, remarked, cal Sciences Education Board of the National Research "I think mathematicians, more than any other scientific Council, offered another view, saying that the problem
266 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Graduate Education in Mathematics was not "overproduction," but "under-utilization." He Developing the Students contrasted the situation in mathematics with that in En Many mathematicians see a decline in the quality of glish, another discipline that produced large numbers of American graduate students over the last ten years or Ph.D.s in the early 1970s. That community saw to it that so; some say departments have been reluctant in recent English departments reduced class sizes and increased the years to hire new Ph.D.s in tenure-track positions in number of faculty, thereby absorbing the large number part because today's new doctorates are simply not of new doctorates. By contrast, he said, the mathematical as impressive as in past years. In many departments, community remained silent as class sizes ballooned and the top students are foreigners, who now receive more graduate students and part-time faculty were hired to than half the mathematics doctorates in this country. teach. The situation of the 1970s notwithstanding, many Weaknesses in the American educational system are projections of faculty supply into the year 2000 indicate partly responsible, but some say the real reason is that there will be serious shortfalls in the number of that the brightest students are going into other fields. mathematicians available to fill retirement vacancies. Some mathematics departments find that many of their majors are students who could not meet the grade-point average requirements of computer science or engineering majors. "We get the bottom of the barrel," said one More Emphasis on Teaching mathematician from a major research institution. Whether the future job market turns out to be good In addition, many see problems with the environment or bad, the fact remains that most academic mathe of graduate school. "We tend to forget that life as a matics positions will emphasize teaching, a skill which graduate student is basically hell," says Lawrence Corwin is not developed in most graduate programs. During of Rutgers University. Not only is the material difficult, the panel discussion, Stephen B. Rodi of Austin Com he notes, but there are rituals analogous to hazing, like munity College in Texas said he thought the entire the qualifying examination, that add to the strain. "We mode of instruction in graduate school is "antithetical to give the students a bunch of material, and if they can the development of undergraduate teaching skills." He do it, fine, if not, we forget them," he declared. D. says that, by emphasizing "research iiber a/les," gradu J. Lewis of the University of Michigan also says the ate training develops and promotes a culture which is "sink or swim" attitude should change: "That's okay to antagonistic to undergraduate instruction. Some of the produce an elite group, but not for the large numbers of specific problems he cited were overspecialization, too doctorates we need to staff industry and colleges." much abstraction and generalization, undue emphasis on Corwin says mathematicians often assume that math formality, too much isolation, and too little connection ematics will be the obvious choice for the top students, with the important motivations to be found in applied but in fact professors must seek these students out mathematics. and encourage them. "You have to spend time looking In addition, Rodi spoke of the intensely competitive for them," he pointed out. "They may be considering atmosphere of graduate school. "The student learns it engineering or physics or biology or business, so they is important who gets the proof first," he asserted. "It need to be convinced to go into mathematics." Lewis is important not only to be error-free but also to root says that mathematicians also need to inject an "as out error in the work of others. All of this creates a pect of discovery" into undergraduate courses from the future teacher both unreceptive toward and unskilled in beginning. Right now, he says, "our beginning courses the techniques of cooperative learning." Panelist William are like sausage stuffing. They turn students off before P. Thurston of Princeton University echoed this view, the students discover the excitement of mathematics." saying that many students feel their "license to ask He noted that, in trying to meet demands from other stupid questions has been revoked" once they complete departments that require mathematics courses, "we've the Ph.D. stopped teaching mathematics for mathematics' sake. Despite these problems, Rodi sees some hope on We've shortchanged the engineer as much as the mathe the horizon. "I think it's interesting that over the last matician." few years, there's been a whole lot more interest among prominent mathematicians in issues related to teaching," he said. But he maintained there must be changes in the Postdoctoral Training culture of the community to place good teaching on a The problems associated with graduate training extend par with research. "An isolated course in teaching is not to the postdoctoral level as well, an issue discussed at going to do much good," he said. Part of what is needed the AMS Council meeting in Louisville. One difficulty is for mathematics faculty to take their own teaching is the terminology: generally, in mathematics, the word more seriously, so that they function as role models for "postdoc" refers to a position or a fellowship that carries good teaching. certain prestige or that is conferred as a distinction to
MARCH 1990, VOLUME 37, NUMBER 3 267 Graduate Education in Mathematics the top students. Sometimes the positions have reduced be applying for positions where teaching is important, teaching loads, sometimes they involve only research. but evaluations of their teaching records will be scanty. In other scientific disciplines, postdocs are more widely As Small put it, "Postdocs deserve to have a letter of available, and are considered simply as the next step in recommendation beyond graduate school saying more training, rather than a special distinction. But today, as than, 'Was a good T.A."' more fresh Ph.D.s are hired in temporary, rather than tenure-track, positions, more positions are being called Women and Minorities postdocs. "Is graduate education meeting the needs of women "We label almost anything in the first two years and minorities?" asked Rhonda Hughes of Bryn Mawr as a postdoc," noted Ronald G. Douglas of the State College during her presentation at the panel on gradu University of New York at Stony Brook, but a postdoc ate education. Despite some signs of improvement, her should carry with it more training and mentoring, he answer was "a resounding, emphatic, No!" Institutional said. Although those who get postdocs are usually those barriers are falling, but old attitudes are slow to change, who became mature mathematicians in graduate school, she notes. Hughes quoted one black woman mathemati he said, "others could become better mathematicians cian: "Mathematicians see themselves as producing the with a few years' more training." David Saltman of next generation, and tend to do so in their own image. the University of Texas at Austin agreed, noting that There is a personal cult to graduate education, and the students can spend twenty hours a week teaching while nurturing and mentoring that are key parts of graduate they're in graduate school and may need some uninter education simply do not occur the same way for these rupted research time afterward to develop into mature groups. It is difficult for most white males to see blacks mathematicians. and women as their successors." Hughes also pointed out One of the problems with most temporary positions that women and members of underrepresented minorities for new Ph.D.s is that there often is little or no mentoring are often considered "risks" if they are underprepared or involved. Because of grant-seeking and other pressures have unusual backgrounds. Even though the unproduc on faculty, "we've come to a point where our habits make tive mathematicians in most mathematics departments us waste graduate student talent," Douglas asserted. The are often white males, she declared, "we don't recall hear first years of graduate school are a "Darwinian struggle," ing about the risks these once-promising mathematicians he said, and even after receiving their doctorates, young posed." people often receive little encouragement and support. Accoring to Hughes, the biggest obstacle is the small "No one ever takes them by the hand," said Thurston. But number of women mathematicians being hired at the top he also cautioned that increasing the number of postdocs universities, but she concedes it's a "very touchy issue." might not have the intended effect unless faculty attitudes Promising women mathematicians are very much in changed. demand in academia, but the top departments say there Some see increasing the number of postdocs as are not enough of the high-caliber women to go around. a way to encourage more people to enter the field. "They say, 'we called all the top ten women and none However, others expressed caution about increasing the wanted to come or none was available,"' said Hughes. numbers of doctorates, saying that more evidence was "Well, I say, what about the fifteenth?" She explained needed to show that there are currently too few. Susan that it's not a matter of lowering standards to let more Montgomery of the University of Southern California women in, but rather of balancing diversification of the noted that surprisingly few new Ph.D.s were getting faculty with the needs of the research mission. positions in doctorate-granting institutions. Noting the In a community where "research iiber alles" prevails, increase to 900 new doctorates last year, she remarked many will find such a proposal hard to swallow. But that there seem to be reasonably good Ph.D.s having Hughes revealed another wrinkle: "You point out to trouble getting jobs. "We should be cautious about trying [these departments] that there are people they hired to greatly increase the current number," she said. some years back who aren't all that great," said Hughes. Still, all seemed to agree that having postdocs more "They say, 'Oh, but in those days, we weren't so careful widely available would be beneficial. However, Lance as we are now."' At this point the audience burst into Small of the University of California at San Diego ob laughter. Her retort? "Right, but you hired all men in jected to the way the AMS Council's entire discussion of those days." postdocs had focused on research. "We haven't talked at all about the principal activity of new Ph.D.s: teaching," Allyn Jackson he declared. Most individuals coming off postdocs will Staff Writer
268 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Computers and Mathematics
Edited by Jon Barwise
Editorial notes message station. Computers at the annual meeting I stopped going to the Annual Meetings in the mid 80's. I found Time for a change in the column? they had become dull and even somewhat depressing. And I The changing role of computers evidenced at the meeting never felt that I learned any mathematics from the talks. Maybe prompts me to wonder whether it isn't time for this column it was just a reflection of the hard times mathematics was going to shift its emphasis a bit. Our mathematics departments are through at the time, due to the job market. Or maybe it was now well on the road to using computers in the classroom and me. I don't know. In any event, I would not have thought about in writing mathematics. But what about research? There is less going this year if I had not been asked to give an invited address. evidence that as a group we are learning how to exploit the I am glad I went. There was quite a different and more ex computer in our research. citing atmosphere at the meeting than I can recall in years. The This imbalance has been reflected in this column. There have meeting was much better organized than I remember. Most im been quite a few articles related to teaching and writing mathe portant, though, it seems that we are becoming much more at matics, fewer about the use of computers in research. Frankly, tentive to the task of communicating mathematics-to the pub I have had a hard time finding authors for research related ar lic, our students, and even each other. This attitude was palpa ticles. I urge readers to suggest research related software that ble in Louisville. The invited lectures were more accessible and should be reviewed, as well as other sorts of articles on the use stimulating. There were good sessions on teaching mathemat of computers in mathematical research. If you have a suggestion ics. And there were interesting events of other sorts, like the for an author of such a paper please let me know. memorable session on the play Breaking the code {The life of Professor Jon Barwise Alan Turing) with Peter Hilton and the play's author, Hugh Center for the Study of Language and Information Whitmore. Altogether, a pleasant surprise. Ventura Hall I was also surprised at the extent to which computers were in Stanford University evidence in various ways: in just behind the scenes in some of Stanford, CA 94305-4115 the invited talks, in sessions on the use of computers in teach email: [email protected] ing mathematics, and in the exhibition hall. The amount of After July 1, send it to me at my new affiliation: mathematics-related software available at the meeting was im pressive. And the interest in the sessions on using computers Professor Jon Barwise in the classroom was also much greater than I anticipated. The Department of Mathematics times really are changing. Indiana University One thing hasn't changed, though. The message station. It Bloomington, IN 47405 is hard to believe that in 1990, well into the Information Age, email: [email protected] we were still trying to get information to one another by writ ing it on grubby little scraps of paper, sticking it into cubby This month's column holes, to be sorted and resorted by every person with a name This month's column contains a discussion of TEX, by Michael between "Nom" and "Mus." I stood and timed this process for Doob. He starts with a general overview and then discusses a while. During my watch, it took between four and ten min versions that are available for the Macintosh. He will discuss utes per person to find out whether they had any messages. The PC versions in another issue. longer times were typically due to people shamelessly reading The column also contains several interesting reviews of math other people's messages. And I saw people drop messages with ematical software. I would like to draw special attention to two. out realizing it, as they were rifling through the slips. There One of these, by Colin Adams, is of a research related pro must be, or should be, software available for this sort of thing. gram, Jeff Week's hyperbolic 3-manifold program SNAPPEA, Surely a simple Hypercard stack on a couple of Macintoshes mentioned in January's editorial. The other is a review of De would have been quicker, more private, and more reliable. So rive, by Phil Miles. Miles reviews Derive in the context of pre my suggestion for an additional improvement to the meetings calculus teaching, and raises an important pedagogical issue. I is to have someone spend a little thought on computerizing the would welcome thoughts on the problem Miles poses.
MARCH 1990, VOLUME 37, NUMBER 3 269 Computers and Mathematics
itself is complicated, the use of it is less so. Here is the typical process you go through to prepare a paper: lEX and the Single CPU 1. Use any editor (the simpler the better) to prepare what is called a source file. This will contain the Michael Doob text that you want typeset. The usual text is typed University of Manitoba in normally, while special words starting with a backslash are used for symbols: \alpha is used for Some of the tools used by computer scientists are purely a, \beta is used for p, and so forth. There are also mathematical, and, perhaps because of this, there is an commands for positioning the mathematics so that, assumption that most mathematicians, in return, easily for example, equations can be centered, numbers use computer-oriented tools. It is my (completely un can be attached to them for reference from within scientific) observation that in fact there are two types the text, and other similar things can be done. of mathematicians: those who think that small micro When desired, many fine details can be controlled, computers are the greatest thing since sliced bread and but most of the time text is entered in a reasonably jump at the opportunity to use new software, and those straightforward way. who think that computers are complicated beasts that 2. When the source file is complete, it is used as input are, at best, difficult to master and must be approached for the TEX program. As the program runs, any with some trepidation. There have been many reviews messages from the program to the user are printed written for this column, Computers and Mathematics, by on the computer screen and also in a log file. When mathematicians of the first type. I think, however, that the program is finished, another file called the DVI this group is in the minority among all mathematicians, file will have been produced. and it is to the rest, the majority, that this article is 3. The DVI file is not readable, at least not by humans. addressed. To see the finished product on the computer screen, There are several purposes to this article. First, we'll it is necessary to have another program called a get an overview of the mathematical typesetting program previewer. This has nothing to do with TEX per TEX, not in the technical sense of bits and bytes and that se, and, unlike the output of the TEX program, sort of thing, but rather as an idea of what's going on is necessarily dependent on the particular type of from the user's viewpoint. It is not an overstatement to computer being used. Unless you are perfect on say that this single program is revolutionary, as has been the first try, it is then necessary to go back and indicated in earlier articles in this column. The impact edit the source file some more. It's not unusual to could be as great for the communication of mathematical have several passages through the edit-TfX-preview ideas as was the motor car for transportation. This article, cycle. by analogy, is meant to show how to get your own car, 4. When the output is just the way you want it, a try out the gas pedal and the brake, and then how to go printer driver program is necessary to print the from point A to point B; we won't be concerned with output on an actual sheet of paper. the inner workings of the engine. Thus we see that to use TEX we must not only After that we'll look at several implementations of have the program itself, but we also need an editor, a TFX on some microcomputers; while we'll be mainly previewer and a printer driver. Further, although a given interested in the IBM-PC compatibles and the Mac source file will result in the identical DVI file when using intosh, the predominant hardware in North America any version of TEX, some implementations are more (with apologies for this geographic egocentrism), we will efficient than others. comment on others in passing. There are several variations called macro packages So first, in the usual mathematical tradition, we will which may be used with TfX. These are, roughly speak be sure that we are working with a good set of definitions. ing, new commands that are added to the standard ones. TEX is a program whose purpose is to produce printed By far the best known ones are ~TFX and AMS-TE)(. pages of mathematical text of quality that is equal to The former allows for much more general typesetting the highest standards of typesetting. This is a formidable including such things as tables of contents, indexes, and task, for not only are there many different symbols used, some elementary graphics. The latter is a standard set but there are also many subtle conventions that are of macros that may be used when submitting articles to normally employed for mathematical text. This is why certain journals of the American Mathematical Society. TFX is a large and complicated program, and has only The preparation of the source file is essentially a appeared on the microcomputer in the past few years. secretarial task, and may not be palatable to some math It is also why many other programs, even those with ematicians. In this case, the comparisons that follow may built-in symbols and mathematical fonts, produce ugly be of interest to secretaries who use a microcomputer. mathematical output. Fortunately, although the program But even if you never want to type a source file, there
270 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Computers and Mathematics are still interesting reasons to use TEX. One is as a tool superb. Particularly striking is its ability to give legible to allow mathematical text to be passed through the screens at an almost continuous range of magnifications. electronic networks. Mathematical Reviews, for example, But there is a price to be paid for this bundling. The will accept contributions in a TEX format. There are DVI file is not created, at least not directly, and a special commercially available CD-ROMs that contain the last desk accessory must be installed to import or export five years of the same publication, with all reviews in lEX DVI files from the program. In addition, the use of new format. So the TEX program along with a device driver fonts is somewhat less straightforward, and the Ib-TEX and for printing output is of interest to the mathematician AMS-TEX macro packages must be purchased separately. even if he or she does not want to type any papers. Also, while over 70 fonts may seem like a lot (and indeed We should also note that there are both commercial would be more than adequate for most work), the full and public domain versions of TEX available. So, one set of (Computer Modem) TEX fonts require an extra would naturally ask, why buy a commercial version when purchase. In summary, Textures is really wonderful for the public domain version can be had for free (or at the new user, but there is a potential for problems least for the cost of the diskettes)? As a general rule, when getting into· more unusual applications. Textures is the commercial versions provide two things that are available from Blue Sky Research, 534 Southwest Third superior to public domain versions: there is much better Avenue, Portland, Oregon, 97204, at an educational price documentation, and there is telephone support. Also, of $395. The Jb.TEX package costs $75, the AMS-TEX there is usually easier installation. So, if all other things package costs $90. The package of extra fonts costs $85. are equal, and you have a buddy who is used to the ins In contrast, OzTEX is a different implementation in and outs of your computer, you might give the public almost every way. First of all, it is in the public domain. domain versions a shot. On the other hand, if you're That means that you may make copies of it and install really in a hurry and are on your own, the commercial it as you wish. It does not, however come with The versions might be more of your cup of tea. T.EJ(book, which you will surely need, nor does it come Now let's look at the different implementation of T£X. with printed installation instructions. It does come on ten This is a little tricky since new versions and variations diskettes, with a short introduction on the first one. It is of old ones are appearing all the time. I shall only talk necessary to adjust a configuration file, and then to print about ones that have been around long enough to be out further instructions if necessary. There is a good stable. user's guide, but it is written in Jb.TEX! While Oz'IEX There are two versions of TEX available for the uses separate programs for running TEX and editing, Macintosh. One of them, Textures is commercial, and a desktop accessory editor called l:edit is included. It the other, OzlE;X, is public domain. There is quite a may be necessary to use a resource editor to make the difference in the philosophy of these implementations. configuration file accessible. Textures comes with The T.EJ(book (the standard When OzTEX is loaded into the Macintosh, it uses reference about TEX), a user's guide with installation just over 5 megabytes of space on the hard disk. Like instructions, and six diskettes. Installation is relatively Textures, it can run with only one megabyte of memory, easy; it is just a matter of creating one folder, copying but it really needs two or more megabytes of ram to run the six diskettes into it, moving one set of fonts with the easily. Font/DA mover, and moving seven "suitcase" files into When OzTEX is run, a screen with different pull-down one of the copied folders. menus appears. Running TEX will cause a dialogue box Textures uses approximately 4.5 megabytes of space to appear which asks for the input file in the usual on your hard disk when fully installed. While it is just Macintosh manner. OzTEX then produces a DVI file and possible to get it running on a Mac Plus with one mega a log file as mentioned above. There is also a pull-down byte of memory, two or more megabytes of memory is menu for previewing the file. (See graphic on following really much better. page). As a result, the DVI files produced by Oz1£X Having done this, the user now has a TEX system may be used by other machines, and DVI files produced available with pull-down menus to access windows that by other machines may be previewed by OzT£X. The contain the source file, the previewed output, and the previewer is definitely slower than that of Textures as it log file. It is also possible to print the file on either an paints the fonts on the screen, and there is less flexibility Apple LaserWriter or Image Writer by another pull-down with magnification sizes. This may be a problem with menu. (See graphic on following page). The fact that the usual (small) Macintosh screen. Nonetheless, the you can edit your source file, run TEX, and preview previewer produces legible screens and are quite usable. the results all from within the Textures program is OzTEX also includes the ability (via a pull-down menu) both unique and very helpful when learning TEX. The to convert the DVI file to a PostScript one and send it quick feedback to the user makes the spotting and to a LaserWriter or other PostScript printer. There is no correcting errors easy. In addition, the previewer is printer driver for the ImageWriter.
MARCH 1990, VOLUME 37, NUMBER 3 271 ,.. Computers and Mathematics File Edit Typeset Uiew Windows eiglims. teH Theorem 3. For any $j \ge 1$ and $r \le -<\tau•(1\over2} + \tau·{-{1\over2}}>$, there t~xists a ..., ..,u ...... of nonnf!oativf! in+ .. , ...... ,. $\ {n_i TeH log $$\limJ------~~------r~ Textures 1.01c
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,.. .&.. .. File Edit TeH Uiew Help OzTeH This is TeX, Version 2.0 (INITeX> **&Plain eigl ims ~tex Loading format f1 1e ... < e i I i ms . tex [ 1l [ 2 l [ 3 l [ 4 l ei lims. teH Theorem 3. For any $j \ge 1$ and $r \le -<\tau~{1\over2} + \tau·{-{1\over2}}>$, 2/[2]
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272 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Computers and Mathematics
OzTEX comes with all that is necessary to use Jb.TE)(, Background and it is also possible to make AMS-TEX from the source In 1978, Thurston revolutionized the field of 3-manifolds file. In addition, it is easy to add new fonts by putting by proving that many 3-manifolds could be decomposed appropriate files into folders. into submanifolds, each of which had one of eight geome Which of the two programs is faster? I used my own tries. Thurston has conjectured that in fact all compact 95 page Gentle Introduction to T.EX as a test file. This 3-manifolds can be so decomposed. The manifolds corre introduction has a mixture of straight text, mathematical sponding to seven of the geometries have been classified. text, and tables (it is available from the TEX Users The eighth geometry is that of hyperbolic 3-space. Group, P.O. Box 9506, Providence, RI, 02940, for $15). In order to understand the class of hyperbolic 3- Textures produced the (quarter megabyte) DVI file in 8 manifolds, it was necessary to compute some examples. minutes and 32 seconds while OzTEX took 10 minutes Thurston calculated several examples by hand (cf. [4]), and 22 seconds. however both the combinatorics and the equations that There is one other item of note. Often Textures and are generated quickly become too difficult to handle OzTEX are used with the Apple LaserWriter (PostScript) without a computer. Several people worked on pro printer. It is then of interest to insert illustrations (say grams that calculated hyperbolic structures on certain from MacDraw or MacPaint), to use the PostScript fonts, 3-manifolds. In particular, Bob Riley had the first such or to use the PostScript language. Both implementations calculations, but also Daryl Cooper, Martin Hildebrand, allow this using the TEX \special command or special Bob Meyerhoff and I worked on programs. names for the PostScript fonts that the TEX \font In 1985, Jeff Weeks, then finishing his Ph.D. un command understands. der Thurston, wrote his first version of a hyperbolic OzTEX is available from Stephen Spencer for $30. He 3-manifolds program. Since then, it has undergone nu may be contacted at spencer@cis. ohio-state. edu, or at merous mutations. It is now the state of the art in such OSU - ACCAD, 1224 Kinnear Road, Columbus, Ohio programs and an indispensible tool for anyone interested 43212. The author of OzTEX is Andrew Trevorrow, in hyperbolic 3-manifolds or knot theory. Kathleen Lumley College, North Adelaide, S.A., 5006 For background on hyperbolic 3-manifolds, [3] and Austrailia. [5] are helpful. More information on the particular invariants appears in [1]. Thurston's notes [4] generated the field of hyperbolic 3-manifold theory.
Reviews of Mathematical Software The Program I will first describe how to use the program to find the hyperbolic structure of a knot or link complement in S3. The program comes with a folder containing all knots of SNAPPEA ten or fewer crossings and all links up to nine crossings. However, if you want to enter your own knot or link, you The Weeks Hyperbolic just click on an icon with the name "Crumble". A blank 3-Manifolds Program screen appears and you can then use the mouse to draw a rectilinear knot or link. The program picks arbitrarily Reviewed by Colin Adams whether each crossing will be an over or under crossing. Williams College Once you are finished drawing the link, you can then go back and change the crossings by clicking on them. Also, there is an option on the menu bar that automatically Introduction makes the link alternating. This article reviews the mathematical software SNAP Then, you save the link as a file in the folder with PEA, also known as the Weeks Hyperbolic 3-Manifolds all the other links. Links are stored as a sequence of Program. It was written by Jeff Weeks with support from numbers and the current program cannot regenerate the the Geometry Supercomputer Project. A version of the picture of the link, so judicious naming is important for program which runs on a Macintosh with at least 512 K is remembering which link is which. (Jeff Weeks plans to available from Jeff Weeks, cjo Geometry Supercomputer include the option of saving pictures of links in the next Project, 1200 Washington Ave. So., Minneapolis, MN version of the program). 55415 (email address [email protected]). Now you click on an icon called "Triangulate". This Please specify what model Macintosh you use (for the program takes whatever link you give it and cuts the newer Macs, the program can be compiled to make direct complement of the link up into ideal (vertices missing) calls to the floating point coprocessor). tetrahedra. In the case that the link complement is by-
MARCH 1990, VOLUME 37, NUMBER 3 273 Computers and Mathematics perbolic, it is known that the triangulation algonthm will options as "Ford domain", "horoballs", "triangulation" always succeed. For many other links, the program will and "parallelogram". You choose which of these items also yield a triangulation. However, there are examples you would like to have displayed on the screen. The of non-hyperbolic links for which the algorithm will not picture that the program then generates is a view from generate a triangulation. (In fact, the vast majority of up on the positive z.:.axis looking down at the x-y plane links are hyperbolic, so a random choice of link will in the upper-half-space model of hyperbolic 3-space. rarely stump the algorithm.) Since hyperbolic 3-space is a covering space of the The program then attempts to place the ideal tetrahe given hyperbolic 3-manifold, you are seeing the lifts to dra in hyperbolic 3-space so that the angles around the hyperbolic 3-space of various objects from the original edges add up to 360 degrees and so that the tetrahedra link complement. For instance, "triangulation" displays fit together appropriately to yield a complete hyperbolic the tiling of hyperbolic 3-space by ideal tetrahedra which metric on the manifold. This entails solving numerically cover the ideal tetrahedra in the triangulation of the link a system of n complex polynomial equations in n un complement. "Horoballs" shows the lift of the maximal knowns. The theory implies that when the manifold is cusp in the manifold to a set of disjoint horoballs in hyperbolic, the system of equations has a unique solu hyperbolic space. tion, however the program is not guaranteed to find it. For each component of the link, the computer will In practice, the program has never failed to find the generate a new picture. If you have a color monitor, the solution for a manifold known to be hyperbolic. computer displays horoballs corresponding to distinct The solution to the system of equations yields the components of the link in different colors. appropriate dihedral angles on the ideal tetrahedra so The "Dehn Filling" program allows one to investigate that one obtains the hyperbolic structure. The hyperbolic manifolds which are obtained by Dehn surgery on links volume of the link complement is then calculated out to in the 3-sphere. Since all compact 3-manifolds without fifteen decimal places. boundary can be obtained this way, the potential of this Once the program has Stored tlie triangulation of the program is immense. (Allliough, as it now stands, this manifold, you can run either "Pretty Pictures" or "Dehn program does not give any insight into the structure of Filling", each of which is opened by clicking on the non-hyperbolic 3-manifolds, there are some possibilities appropriate icon. "Pretty Pictures" takes as input any for extracting information using this program even in link that "Triangulate" has been run on. (It can also be that case.) run on any cusped hyperbolic manifold for which an "Dehn Filling" takes as input a link on which "Tri ideal triangulation is known.) angulate" has already been run and a choice of surgery The program first retriangulates the manifold utilizing coefficients on the components of the link. The program the hyperbolic structure that was computed in "Triangu then finds the hyperbolic volume of the resulting surg late" to obtain a canonical triangulation independent of ered manifold, if it can. For larger surgery coefficients whatever projection of the link you started from. It then the program always succeeds as the resulting manifold calculates several invariants of the hyperbolic structure, has a hyperbolic structure close to that of the original including the maximal cusp volume and the conformal manifold. However, for small coefficients, the program is invariant of the cusp. not guaranteed to succeed even if the resulting manifold is known to have a hyperbolic structure. Many conjectures have been generated from the data obtained from this program. For example, the mani fold conjectured to be the minimum volume hyperbolic 3-manifold was discovered by Jeff Weeks using his pro gram [6]. J. Weeks and M. Hildebrand utilized the program to obtain a census of hyperbolic 3-manifolds with triangulations of five or fewer ideal tetrahedra and orientable hyperbolic 3-manifolds obtained from six or fewer ideal tetrahedra [2]. C. Hodgson, R. Meherhoff and W. Neumann have utilized the program to calculate the Chern-Simons invariant. L Mosher has applied the program to punctured torus bundles. An extension to the program which calculates the length spectrum of hyperbolic 3-manifolds was written by Figure 1. Horoballs and triangulation corresponding to 6 knot 2 D. Hoffoss while at the Geometry Supercomputer Project. A blank screen with a menu bar then appears. When C. Gunn, also at the Geometry Supercomputer Project, you pull down the menus, you are provid<# with such has written a program to display the Dirichlet domains
274 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Computers and Mathematics for these manifolds. Since the program's inception, psychology, and if one gives it the wrong instructions, Weeks has continued to expand and impove it. one can redirect it quickly and without resistance. Derive This program has already had a large impact on meets these tests. It displays your input in classic "two low-dimensional topology. As it continues to evolve, it dimensional" notation so you can readily see whether will be a crucial source of examples and conjectures for you have entered what you intended. It usually ignores many years to come. keystrokes which are irrelevant to the current context, sometimes giving a warning beep. And, for times when References you regret your original instructions, it has a very easy [1] C. Adams, M. Hildebrand and J. Weeks, "Hyperbolic In escape from its current procedure. (Exception: when you variants of Knots and Links", Geometry Supercomputer Project want to quit, the program waits for directions on saving Preprint, to appear in Transactions ofA.M.S. recent input. The prompt for these instructions is not [2] M. Hildebrand and J. Weeks, "A Computer Generated displayed when in the text mode, so the program appears Census of Cusped Hyperbolic 3-Manifolds", Computers and to be hung.) Mathematics, Springer, 1989, 53-59. I started working with Derive before opening the [3] J. Milnor, "Hyperbolic geometry: the first 150 years", manual, and used the manual only as necessary to Bulletin A.M.S. 6 ( 1982), 9-23. proceed. This worked very well. The major commands [4] W. Thurston, "The geometry and topology of 3-manifolds", of algebra - expand, factor, plot, simplify, solve - appear lecture notes, Princeton University, 1978-1979. on the main menu as single keystrokes and, on the whole, [5] W. Thurston, "Three-dimensional manifolds, Kleinian do what one expects. A certain amount of "target-seeking groups and hyperbolic geometry", Bull of A.M.S., vol. 6, no. 3 (1982), 357-381. behavior" is necessary for this approach. The default [6] J. Weeks, "Hyperbolic structures on 3-manifolds", Ph.D. parameter settings result in taking roots and solving dissertation, Princeton University, 1985. equations over the complex numbers and do not do certain trig and log expansions. A handy system of sub menus allows you to tinker with the parameter settings until the desired result is obtained. A quick look at the manual will suggest a likely sub-menu; cut-and-try will get DERIVE as Precalculus Assistant the right setting. With about an hour's experimentation, Reviewed by Phil Miles* I was ready to proceed. On my department's placement test, Derive placed Derive styles itself a mathematical assistant. It is intended out of intermediate algebra and into the precalculus to do far more than standard precalculus problems, and course which immediately precedes scientific calculus, I have colleagues who use it in these grander capacities. answering correctly almost all the algebra questions. With But it does do many standard precalculus problems, mechanical transcription supplemented by some cut-and and precalculus is a course with very large enrollments. try, it answered 39 of 67 questions. With transcription, The National Research Council appears to favor the which included entering verbal problems as equations, idea of a precalculus assistant, saying "Weakness in its scores rose to 48. It cannot do questions emanating algebraic skills need no longer prevent students from from geometry, and these account for almost all the understanding ideas in more advanced mathematics. missing answers. Interestingly, this lack prevented Derive Just as computerized spelling checkers permit writers to from placing out of trigonometry despite its ability to express ideas without the psychological block of terrible do trig equations and identities. Once into precalculus, spelling, so will the new calculators enable motivated Derive retains its ability to do algebra (in contrast to students who are weak in algebra or trigonometry to humans) and can do many exam questions on logs and persevere in calculus or statistics." (Everybody Counts, p. exponentials (though limited by a disinclination to make 62). substitutions). It can form rules for composite functions The demands of Derive are relatively modest - a PC and materially assist in finding the rules for inverse compatible computer running DOS and having 512K functions (e.g., if you tell it to switch and solve, it will do memory and a graphics adapter. While not the same as the switching and solving). It can do linear simultaneous being available in a "pocket computer", this is in the equations, but not even simple non-linear ones. right ball park for a precalculus assistant. The target-seeking behavior I used in getting answers A good assistant is biddable and forgiving. One from Derive is certainly natural for students operating can give it instructions without troubling to know its in the classical pencil-and-paper context. For a target, they generally have the answer in the back of the book. *Phil Miles is Professor of Mathematics and supervisor of pre calculus at the University of Wisconsin-Madison. His email address They use the powerful operators DISTRIBUTE, MOVE is [email protected]. Derive (version 1.58) is a product of Soft and CANCEL in conjunction with the four operations Warehouse Inc., 3615 Harding Ave, Honolulu, Hawaii. of arithmetic to rearrange and delete symbols until the
MARCH 1990, VOLUME 37, NUMBER 3 275 Computers and Mathematics target is attained (see below). I believe they could adapt own suspicion is that mathematical courseware has to their behavior to this program with minimal difficulty. be developed with this pedagogical problem squarely in So I judge Derive is a precalculus assistant in a certain mind.* It is not going to work to just use software capable fairy story sense. of doing symbolic manipulations. I will be interested in The magical assistants in fairy stories grant wishes the reactions of others. speedily, effortlessly and in a way that makes the wisher rue the wish. I suggest that algebra utilities may come to play a similar role in mathematics instruction. Pre calculus students know the letters of a mathematical ISETL - Interactive Set Language statement, but not the words. They see "a 9" as the con catenation of an "a" and a special "9", not as a word Reviewed by Donald L. Muench** meaning the product of nine a's. A complicated word ISETL is an interpreted, interactive implementation of like e-21 n3 is seen as a string of symbols from which the the high-level computer language, SETL (SET Language) powerful operator CANCEL permits deletion of "e" and whose syntax is very close to mathematical notation. It "ln", leaving -2(3) = -6. contains the usual collection of statements common to English spelling looks arbitrary because it is largely procedural languages, but a richer set of expressions. The a record of etymology, and in natural language, etymol objects of ISETL include finite and heterogeneous sets ogy is unrelated to meaning or usage. In mathematics, and tuples, integers, floating point numbers, funcs (func spelling can be considered as etymology, but etymology tion sub-programs), and strings. It was developed so that in this sense exactly determines meaning and usage. Our it can be used effectively in the teaching and learning of example e-2/nJ traces back to lje21 n3, thence to (lje1n3)2 mathematical concepts. Indeed, an innovative textbook etc. Algebra instruction is ideally an effort to get students treating the traditional topics of discrete mathematics to see words whose spelling gives their meaning. Students was published in late 1988 by Springer-Verlag, "Learning are disposed to do letter-by-letter symbol manipulation Discrete Mathematics with ISETL", written by Nancy instead. Present teaching practice apparently often sup Baxter, Ed Dubinsky, and Gary Levin. Gary Levin is ports such an approach -perhaps by soft grading, perhaps the implementer of /SETL. I have used this text and the by use of simplified and stereotyped problems. Students software for three semesters in discrete mathematics. who are supported in a letter-by-letter approach are ISETL is "shareware" and is available from Gary thereby supported in their belief that the language of Levin, Department of Mathematics and Computer Sci mathematics is meaningless. ence, Clarkson University, Potsdam, NY 13676 and may Use of an algebra utility can eliminate the need to be freely copied. It runs on IBM PCs under MSDOS and know the words and usage of algebra-the core of the compatibles, Macintosh, (diskettes and documentation language of applicable mathematics. Unquestionably one cost $20) and the VAX under either VMS or UNIX (a can persevere in calculus on this basis-many students tape and documentation cost $25). Since the source code already do so without benefit of algebra utilities. Whether (also freely available) is written in C, ISETL should be one can find meaning in doing so is doubtful. And it is able to run on any machine having a C compiler. In a serious question whether colleges can prosper without 1988 ISETL was a finalist in the EDUCOM/NCRIPTAL imparting a greater sense of meaning to their curricula. awards competition for best educational software. The existence of algebra utilities raises a serious The version reviewed here is ISETL 2.0 (Oct 1989) problem for teachers of mathematics. Teaching is hard. under MSDOS. One must engage oneself with one's students and work Right at the start I want to say that I am excited to engage them with the material. After making these about, and impressed with, ISETL. It is easy to learn efforts, an ordinary teacher must still admit to failure and easy to read and write. Students with no previous in the case of many students. Doing all this when a programming experience have little difficulty learning perfect version of The Answers lies only a few keystrokes the language. To a mathematician the close syntactical away will be hard indeed. This difficulty will weigh upon resemblance to standard mathematical notation is very teachers' minds whether or not such a utility is actually appealing. What got me started in it was a Saturday in the hands of their students. afternoon tutorial by Ed Dubinsky and Nancy Baxter Editorial comment: I can't resist commenting on the worry raised in Miles' review. I share the concern *John Etchemendy and I wrote on the potential and challenges in expressed, that symbolic mathematics packages may creating such courseware in the January 1989 column. make it even harder for our students to understand the **Don Muench is Professor of Mathematics and Computer Science at St. John Fisher College in Rochester, NY. His main interests are in meaning of mathematics. It will be a disaster if the use hiking, camping and the use of computers in the teaching and learning of such programs makes mathematics look even more of mathematics. His email address is rutgers!rochester!cci632!sjfc!dlm like a formal game than it does to students already. My or [email protected]
276 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Computers and Mathematics at the IFRICS program at Clarkson in the summer of and examine t by 1985. It was there that I met Gary Levin. What captured my attention was this one-line ISETL statement which > t; generates the set of prime numbers between 2 and 50 (the">" is the ISETL prompt for input): and see the immediate output, > {p: pin {2 .. 50} I (forall din {2 .. p div 2} [5,9,"Leo",10,3,0M,OM,44]; I p mod d /= 0)}; The value "OM" means "undefined". This dynamic This is nothing more than the precise mathematical allocation and assignment of values combines all the definition and yet it is a statement in the language which, advantages of an array and a dynamic linked list in one upon hitting RETURN, produces the output, data structure. Among the operations which can be performed on {37, 29, 31, 19, 23, 13, 17, 47, 43, 41, sets are union ("+" or "union"), intersection ("*" or 3, 2, 5, 7, 11}; "inter"), difference ("-"), and power ("pow"). Thus,
So, by specifying the definition in careful mathemat > s1 := {5,9,8}; ical notation, we have a valid ISETL expression. This > s2 : = {[2, 7] , 5, ' 'Greg" , 9}; gives a flavor of the power of ISETL. > s1 inter s2;
Sets and Tuples produces The previous expression shows that ISETL supports sets and quantified expressions. The reader will also note that {5, 9}; the output is a set of elements displayed in no pre-set order. That is because sets do not order the elements. and However, tuples (sequences) do impose an order on the elements. A tuple can be formed by using square >pow( {5,9} ); brackets, thus ordering the elements. Hence, we can create a tuple of the primes between 2 and 50 with this statement: gives > [p : p in [2 .. 50] I (forall d in { {5}, {5,9}, { }, {9} }; {2 .. p div 2} I p mod d /= 0)]; The language is rich enough to permit the user to and produce the output, define new sets and operations such as Cartesian product [2, 3, 5, 7, 11, 13, 17, 19, 23, 29, and symmetric difference. New operations are defined as 31, 37, 41, 43, 47]; functions of two variables, using the type func.
Tuples may have any length and elements can be assigned Functions and placed in the tuple at any position. Thus if we have The function notation is used in tuples and strings to access particular elements or characters. In the previous > t := [5,9,"Leo",10,3]; tuple t, t(3) has the value "Leo". Thus a tuple (sequence) where ":=" is the assignment operator, the statement, can be used to represent a function whose domain is a set of positive integers and whose image is the set of > t(3); non-OM elements in the tuple. However, this isn't the only way to represent a asks for the third entry in t and immediately produces function in ISETL. A function is statically defined as the output, a set of ordered pairs in which any two pairs with the same first element must have the same second element. "Leo"; For example we can define
Furthermore, we can make this assignment, > f := {[12,6], ["brady" ,{5,2}],
> t(8) := 44; [2, 8], [3, "neon"]};
MARCH 1990, VOLUME 37, NUMBER 3 277 Computers and Mathematics
Here, the domain is { 12, "brady", 2, 3} and the image is We can compose the func PropDiv and the set of ordered {6, {5, 2}, 8, "neon"}. In ISETL, two predefined functions pairs f, defined above, and evaluate the composition at a can be used to find the domain and image: point in its domain. Consequently, if we type
> domain(f); > comp(PropDiv,f)(12); {12, "brady". 2, 3}; > image(f); we see its value, {6, {5,2}, 8, "neon"};
Having defined fin this way, we can evaluate f(12) or {2, 3}; f("brady") by typing: > f(12); f("brady"); Boolean Expressions and Operations ISETL also supports boolean expressions and the opera and obtain the output, tions of "and", "or", "not", and "impl" (implies). With 6; a for-loop iterating over a set, tuple or string, one can {5, 2}; print out a truth table for rules such as DeMorgan's Law:
ISETL does not have procedures or subroutines, but > for p,q in {true,false} do does have funcs, which syntactically are reminiscent >> writeln p,q, not(p and q) of Pascal functions (without all the type declaration iff (not p) or (not q); baggage), with the added advantage that ANY ISETL » end for; object(s) may be passed to or returned by a func. For example, given a positive integer n, we want the set of Hence, ISETL may be used to investigate the validity of the proper divisors of n. All we have to do is form the arguments, and to study propositional calculus. set in a precise way ({d: din {2 .. n -l}ln mod d = 0}) and wrap it in the correct syntactical blanket. Here is the The Screen Editor Interface (MSDOS Version) definition of this func (the ">>" prompt asks for more At the MSDOS prompt, typing input from the user): isetl > PropDiv := func(n); >> if is_integer(n) and n>O then puts us immediately into ISETL and the screen editor. >> return {d : d in {2 .. n-1}1 n mod d = 0}; This editor is very easy to use. We can send lines to » end if; ISETL by typing them and entering RETURN. Using >> end func; the arrow keys, groups of earlier lines can be edited and > executed again. There is a menu (entered by the ESC key) which So, if we type contains selections for saving groups of lines into a file or saving the whole ISETL session into a file. Both of > PropDiv(6); these features facilitate the preparation of input and output for handing in exercises by students. Another we will see the returned value, selection permits the reading of a file of ISETL code. Upon hitting "RETURN", the code is executed. {2, 3};
As another example, we can pass two functions and Uses of ISETL return their composition. The composition operation I am personally aware of several uses of ISETL in math accepts two functions and returns a function. Therefore, ematics, besides its use in discrete mathematics (using we can define the operation of composition, the book by Baxter, et al.). Because of its mathematical syntax, ISETL has inspired new uses in calculus (Ed > comp := func (u,v); Dubinsky at Purdue, also using the computer algebra >> return func(x); system MAPLE) and introductory probability (Arnold >> return u(v(x)); Lebow at Yeshiva). Textbook projects are currently un >> end func; derway now which use ISETL in calculus (along with the >> end func; computer algebra system MAPLE) and abstract algebra. > Some illustrations are in order.
278 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Computers and Mathematics
In discrete mathematics ISETL makes it possible to is being used in an innovative introductory computer think of functions in concrete ways which are familiar science course at Dickinson College (Nancy Baxter) and to mathematicians: as a set of ordered pairs and as a in programming languages (Tim Budd at Oregon State). dynamic process. Of course, not every set of ordered The concepts of group theory can be expressed nat pairs is a function. In a class, students would be invited urally in ISETL by defining a set (G) and its operation to write a "tester" that tests a map and tells whether or (op). For example, the identity element can be found by not it's a function. If we define it to mean that two pairs the expression ("arb" selects an element from the set) : with the same first element must have the same second element, then we have the following: >arb( {e:e in Glforall gin Gl op(g,e)=g} );
> is_function := func(M); Encouraging results in student learning and understand >> if is_map(M) then ing of cosets and Lagrange's theorem have been obtained >>return forall u,v in M I u(1) in a project at Technion in Israel (Uri Leron, with Ed = v(1) impl u = v; Dubinsky). » end if; >> end func; Other Features An ISETL func captures the idea of a dynamic process, ISETL has the usual predefined transcendental functions where the body of the func is a description of the process. and many others such as floor and ceiling (ceil), max, As an example of its use in calculus (due to Mark min, and random. There are also input and output Huibregtse of Skikmore), consider how the Riemann functions for opening and closing files, reading from and integral is defined in most books. In this example ISETL writing to files. can help build Riemann sums (in this case midpoint Integer arithmetic can be done to any degree of sums). This leads to a func for making midpoint esti precision. For example, here is 625812 to the 15th mates of definite integrals. The body of the func below power: was developed right in class (" %+ " is ISETL's sum mation notation). Notice that midpts is the sequence > 625812**15; of midpoints of subintervals and that heights is the 88441947633347013524989387609185053900125 sequence of function values at the midpoints. 6868407452024352291484380889922344\ 005159354368; := func(f,a,b,n); > MidRiemann > >> local delta,midpts,heights,areas,areaSum; >> delta := (b - a) I n; >> midpts := [ (a + delta/2) + j * delta : j in [0 .. n-1] ] ; Documentation and Information is contained in "An Introduction to >> heights := [ f(x) : x in midpts ] ; The documentation ISETL" by Gary Levin, which accompanies the software. >> areas := [ delta * h : h in heights ] ; The documentation is thorough, but is not intended as >> areaSum := %+ areas; >> return areaSum; a tutorial. There are very few examples, although dozens >> end func; of examples are contained in files which are included in the ISETL disks and tapes. The documentation is The nice thing about this calculation is how exactly it most valuable if you already know the language. But, corresponds to the concept of Riemann Sum. To find the not to worry: a friendly guidebook is now being written Riemann sum of the sine function from 0 to pi with n = and will be available from West Publishing Company. I 100, one simply enters: have not yet seen the draft version of the guidebook, but the author promises an easy-to-read introduction to the > MidRiemann(sin, 0, 3.1415926, 100); language. There is an occasionally lively ISETL discussion The interactive nature of ISETL, the natural imple group which is available to users who have access to mentation of recursion, and the syntactical similarity to electronic mail (UUCP, BITNET, etc.). The documen Pascal (which includes the usual control structures of tation contains information on how to join the group. if-then-else and while-do and for-do) make it eminently Many of the improvements in the language arose from suitable for teaching and learning computer science. It the discussion in the group.
MARCH 1990, VOLUME 37, NUMBER 3 279 Inside the AMS
The Membership Committee The Life Membership option allows members to en Frederick W. Gehring, Chair joy a reduced dues rate. The AMS was founded to stimulate research, scholarship, The Sponsored Membership Program was established and education in the mathematical sciences. The Society to encourage individuals (and, ultimately, corporations) pursues this charge in a variety of ways, including to pay for AMS memberships for those in third-world the publication of books and journals, meetings and and/ or currency-poor countries who would not otherwise conferences, and various member services. be able to afford membership. The AMS Membership Committee, which was re The 25-Year Member Banquet, held annually at the activated in 1985, has two objectives. The first is to Winter Meeting, is open to all meeting participants. The insure that the Society represents a broad spectrum of banquet provides an excellent opportunity to socialize the mathematical community in order to reflect the with fellow participants in a relaxed atmosphere and to needs and desires of this diverse group. The Committee honor those who have been Society members for 25 years helps to make the membership aware of AMS activities or more. through mailings, advertisements, and personal contacts. New Members are now listed in Notices, together The second goal of the Committee is to communicate with their institutional affiliations. with the members to ensure that the Society is doing all Lower Fees at the Employment Register make this it can to serve the membership. Here are some of the important service available to a wider range of employers activities the Committee has helped to implement. and jobseekers. Membership Cards are mailed to all members of Complimentary Membership for one year is offered the Society annually. Each card contains the member's to non-member participants (including students) who customer code and other useful information, such as register at an annual Winter or Summer meeting. the Society's toll-free telephone number and the address Nominee Memberships are now available to an un to use for correspondence with the AMS. Many mem limited number of full-time graduate students at member bers use these cards for identification, especially when institutions. The Committee supported this proposal be purchasing publications at Society meetings. cause a 1988 membership survey, sent to 1200 individual Discounts on books or computer products purchased members, revealed that 62% of them first joined the So from particular commercial firms are available to Society ciety as nominees. members. A Change in Services for Emeritus Members allows Inside the AMS, the column in which this article them to receive the Bulletin of the AMS as a privilege appears, is designed to make the membership aware of of membership, starting this year. Previously, Emeritus the full range of Society operations and activities. members wishing to subscribe to the Bulletin had to do The Information Booth at both the Annual Winter so at the member rate. and Summer Meeting gives participants an opportunity No member should be made to feel like just another to ask questions about Society activities and membership name in a computer system. The role of the Membership benefits. Members can air their suggestions or complaints Committee is to provide avenues for members to make (and compliments!) at the booth. Coffee and tea are their voices heard in the governing of what is, after all, served at the booth, making it a convenient place to stop their Society. The Committee would like to see a broader for a chat with colleagues. spectrum of members involved in Society governance The Multi-Year Dues plan allows payment of dues and solicits suggestions for new and innovative ways in in advance for any number of years (up to five) at the which the Society can better serve its members. current dues rate for the coming calendar year. For more information, contact Membership Manager
280 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Inside the AMS
Carol-Ann Blackwood at the AMS headquarters in Prov David Sanchez, Provost Office idence 800-321-4AMS (800-321-4267) in the U.S. and Lehigh University, Alumni Memorial Hall 27 Canada or 401-455-4115. Bethlehem, PA 18015;[email protected] Herb Clemens AMS Ad Hoc Committee on Cooperation with Latin American Mathematicians A committee has been formed by the American Math ematical Society to help facilitate initiatives in research Notice of Deaths mathematics in Latin America and/or involving Latin of Two Society Staff Members American mathematicians. Although this committee has In the past year, two longtime employees of the Society no budget for projects of its own, it hopes to get people who were known to many AMS members passed away. with good ideas for projects (and some resources to carry Lev Liefman, a Russian translations editor for the them out) together with additional resources, be they Society, died on February 9, 1989. Dr. Liefman, a native human or material. Russian, studied mathematics at Kiev University and re We list below the members of the committee and ceived his Ph.D. in 1962 from Moscow University. After how you can get in touch with them. If you have a spending more than a decade at Novosibirsk University good project of joint research, conferences, publications, and at the Siberian Branch of the Soviet Academy of etc., which some of the membership of the American Sciences, he and his family emigrated to Israel, where he Mathematical Society could help along a bit, please let took a position in the mathematics department at Haifa one of us know. University. When the family emigrated to the U.S. in he held Herb Clemens (Chair), Mathematics Department 1979, Dr. Liefman took the AMS position, which University of Utah, Salt Lake City, UT 84112 until his death. many mem ma.clemens@science. utah.edu Dorothy (Smith) Peckham, well-known to bers as the assistant director for AMS meetings, died Samuel Gitler, Dept. of Mathematics on August 30, 1989 at the age of 63. Born in Warwick, Hylan 918, University of Rochester Rhode Island, Mrs. Peckham (or "Dottie," as she was Rochester, NY 14627 known) worked at the AMS for fourteen years. Starting Carlos Kenig, Dept. of Mathematics in the Meetings Department in 1973 as departmental Univ. of Chicago, 5734 University Ave secretary, she later served as the assistant to Hope Daly, Chicago, IL 60637; [email protected] director of Meetings. For many years, Dottie organized Joseph Kohn, Dept. of Mathematics the Summer Institutes and the Symposia on Pure and Princeton University, Box 37, Fine Hall Applied Mathematics and worked closely with the AMS She was a Princeton, NJ 08544; [email protected] Associate Secretaries on sectional meetings. permanent fixture at the transparency desk in the regis Horacia Porta, Dept. of Mathematics tration area during the national meetings. While many University of Illinois, 1409 W Green Street members will recall Dottie's meticulous organizational Urbana, IL 61801-2975; [email protected] skills, most who knew her will remember the parties she Cora Sadosky, Dept. of Mathematics orchestrated and the liveliness she brought to them. Her Howard University, Washington, DC 20059 zest for life and work made her a favorite among the [email protected] staff and the membership.
MARCH 1990, VOLUME 37, NUMBER 3 281 Washington Outlook
research would go up 9% under the President's proposal, This month's column is written by Hans J. Oser, who is and defense basic research about 6% (while the overall a consultant to the Office of Governmental and Public defense budget is supposed to rise only 1%). Needless Affairs of the Joint Policy Board for Mathematics in to say, this is the area where Congress will spend most Washington, D.C. of its time arguing over the "peace dividend", real or imaginary. The Bush administration sent its first budget proposal Total R&D, civilian and defense, would rise 7%, to Congress on January 29. Even though President Bush to $68.1 billion. The President proposes another $3.06 was in office last year, the 1990 budget was of course the billion for the construction, repair and modernization handiwork of the outgoing Reagan administration. The of R&D facilities. On top of this, the Administration is submission of the President's budget to Congress is only committed to doubling the NSF budget by 1993 from the opening salvo in a battle that will be fought with the 1987 base year. great seriousness over the next 8 months. It is well known The President plans for substantial increases in the that the interest in this annual ritual drops exponentially following programs (among others): with the distance from the beltway around Washington. * Science, mathematics, and engineering education: But there are moments when the process is sensitive +26%, from $841 million to $1.06 billion, distributed to critical inputs that can materially alter the outcome. over NSF, Department of Education, Department of That is why the Office of Governmental and Public Energy, NASA, and the National Institutes of Health. Affairs (OGPA) is here to monitor the hearings and the Emphasis is on "revitalization of mathematics, science, policy statements from the White House, departments, and engineering education to produce the technological and independent agencies. Only by keeping a close watch workforce and scientifically literate population needed to over the events can we alert the mathematics community maintain a globally competitive economy". to take action when necessary in the form of testimony *Global Change: +57% to over $1 billion to support on the Hill and direct contact with the policy makers, in the interagency U.S. Global Change Research Program. person or by mail. That is one of the functions for which This involves eight different departments and/ or agencies the OGPA was created. that include National Oceanographic and Atmospheric Administration, Department of Interior, and the NSF, to name just the three that represent almost 7 5% of the Science and Technology total program. in the President's Budget for 1991 * Exploration beyond the Earth will be strengthened According to D. Allan Bromley, civilian R&D will by a new initiative to develop the new technologies receive a 12% increase, from $23.8 billion to $26.7 needed for future manned exploration of the Moon billion. (In this presentation the baseline for FY 1990 and Mars. The 1991 budget calls for a nearly 50% is the congressionally enacted budget for FY 1990, not increase to about $1.27 billion in programs in NASA, the what the Reagan administration asked for last year). Department of Energy and the Department of Defense. Defense R&D will increase by 4%, from $39.9 billion to $41.4 billion. If these figures hold up, the civilian share of total R&D will actually increase from 37.4% to 39.2%, National Science Foundation certainly a welcome step. Budget Request for FY 1991 The basic research part of the R&D budget would The Bush administration proposes to increase the NSF increase by 8%, from about $11.5 billion to $12.4 billion. budget from $2.08 billion to $2.38 billion, or by 14.4%, This is about 17% of the total R&D budget. Civilian basic in FY 1991. While announcing his proposed budget,
282 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Washington Outlook
NSF director Erich Bloch said "Today education and * Support of world-class facilities in astronomy and research are critical to the country's economic security," gravitational wave detection. and "our strategy emphasizes support of the core dis The following is how the Directorate for Mathemati- ciplines and research facilities, and a large investment cal and Physical Sciences allocated its research funds for in human resource development through education and three successive fiscal years: research initiation. These investments are the comer stone of increased national productivity and economic Mathematical and Physical Sciences competitiveness." Directorate at NSF ($1000's) The NSF strategy is to strengthen the research base 1989 1990# 1991# and improve academic research equipment and facilities. Mathematical A total of $1.81 billion would be spent for this purpose, Sciences 66,019 69,118 (4.7) 73,720 (6.7) up 11% over the current year. For development of human Astronomical resources, broadening participation and improving sci Sciences 89,224 91,647 (2.7) 100,700 (9.9) ence and engineering education at all levels, NSF would Physics 122,284 123,831 ( 1.3) 130,230 (5.2) spend $463 million next year, an increase of 30% over Chemistry 96,745 97,945 (1.2) 103,350 (5.5) the FY 1990 plan. Materials Increases in the NSF research and facilities budget Research 115,084 116,939 (1.6) 123,460 (5.6) (which comprises over 70% of the total) are planned for: Science & Tech. *Presidential Global Change Program: +100% to $103 Ctrs. 13,947 14,536 (0.3) 27,040 (86) million Major Research * Mapping and sequencing the plant genome. Equipment 500 42,990 63,000 (47) * Funding a second class of 10-12 science and technology centers, that were deferred from FY 1990 because of # Numbers in parentheses indicate the percentage in- budget constraints. crease over the prior year.
American Mathematical Society
Manager Russian Translation Program Position Open
The Society is seeking applications from individuals with a broad-based background in mathematics and fluent Russian. Publishing experience or participation in a translation program would be helpful.
The manager will be expected to provide long-range planning for the translation program. Responsibilities will include identifying and developing real or potential projects and authors, acting as liaison between consultants and the Translation Editorial Committee, serving as the interface between the Society and appropriate Soviet agencies and publishing houses, and directing the activities ot the translations editorial staff.
The person selected will work in the Society's Providence Office. Travel to the Soviet Union will be necessary.
Applications should be sent to: Director of Publication American Mathematical Society P.O. Box 6248 Providence, Rl 02940 The Society is an equal opportunity employer and has a generous fringe-benefit program including TIAA/CREF.
MARCH 1990, VOLUME 37, NUMBER 3 283 News and Announcements
Mark Grigorievich Krein Academy of Sciences of the United (on the Volga) Industrial Institute. In 1907-1989 States of America, 1979. Recently 1944 he returned to Odessa but was One of the most eminent mathemati he was awarded the N. M. Krylov soon dismissed from the University. cians of our time, Mark Grigorievich Prize of the Ukrainian Academy of This was the end of the famous cen Krein, passed away on October 17, Sciences. ter of functional analysis at Odessa 1989. He is the author of more than Mark G. Krein was born on April University. From 1944 to 1952, M. 270 papers and monographs of un 3, 1907, in Kiev into a Jewish family G. Krein held a part time position as surpassed breadth and quality. His of modest means. His father was a head of the department of functional work opened up new areas of mathe lumber merchant. From early on he analysis and algebra at the Math matics and greatly enriched the more showed a talent for mathematics. At ematical Institute of the Ukrainian traditional ones. He educated dozens the age of 14 he already attended Academy of Science in Kiev. He was of brilliant students in the USSR and research seminars. He never got his dismissed from this post in 1952. inspired the work of many mathe undergraduate degree. In 1924 he The official reason given was that maticians, engineers and physicists ran away from home to Odessa and he was not a permanent resident of all over the world. in 1926 he was accepted for his Kiev. From 1944 to 1954 he held the In 1982 M.G. Krein was awarded doctoral studies by N. G. Chebotarev chair oftheoretical mechanics at the the prestigious international Wolf at Odessa University. He completed Odessa Marine Engineering Institute, Prize in Mathematics in Jerusalem. his studies in 1929. and from 1954 till his retirement he The citation to this prize reads in An excellent and enthusiastic held the chair of theoretical mechan part as follows: "His work is the teacher, he attracted many students. ics at the Odessa Civil Engineering culmination of the noble line of re In the thirties he created one of the Institute. During the last few years search begun by Chebyshev, Stielt strongest centers of functional anal of his life he was a consultant to the jes, S. Bernstein and Markov and ysis throughout the world at Odessa Institute of Physical Chemistry of continued by F. Riesz, Banach and University. His interests included ge the Ukrainian Academy of Sciences Szego. Krein brought the full force ometry of Banach spaces, moment in Odessa. of mathematical analysis to bear on problems, integral equations and ma A list of themes where M. G. problems of function theory, oper trices, spectral theory of linear oper Krein's research was fundamental, ator theory, probability and math ators, extension problems and appli and in many cases even determined ematical physics. His contributions cations. Many of his results from the future of the field, includes: oscil led to important developments in the this period, as well as joint results to lating (totally positive) kernel func applications of mathematics to dif gether with his friends and colleagues tions and matrices; problem of mo ferent fields ranging from theoretical (N. I. Achiezer, F. R. Gantmacher), ments, orthogonal polynomials, and mechanics to electrical engineering. and his outstanding students (A. B. approximation theory; cones and reg His style in mathematics and l:.lis per Artemenko, M. S. Livsic, D. P. Mil ular convex sets in Banach spaces; the sonal leadership and integrity have man, M. A. Naimark, V. P. Potapov, theory of gaps and spaces with two set standards of excellence." M. A. Rutman, V. L. Shmuljan) are norms; the extension theory of oper Among his honorary awards, he now characterized as classical and ators, Hermitian-positive functions was elected: corresponding member appear in all textbooks on functional and helical arcs; integral operators, of the Ukrainian Academy, 1939; analysis. string problems and method of di honorary member of the American During World War II, from 1941 recting functionals; stability theories Academy of Arts and Sciences, 1968; to 1944, he held the chair of the for differential equations; Wiener Foreign Member of the National oretical mechanics at the Kuibyshev Hopf, Toeplitz and singular integral
284 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY News and Announcements operators; scattering theory and in was in serious danger of arrest. Morris H. DeGroot verse spectral problems; operator the M. G. Krein liked to tell stories 1931-1989 ory in spaces with an indefinite met andjokes, some of which he invented Morris DeGroot, University Profes ric; indefinite extension problems; himself. At one time he went to the sor of Statistics and Industrial Ad nonselfadjoint operators; triangular rector of his institute and asked if ministration at Carnegie-Mellon Uni models; perturbation, interpolation there was any danger that he could versity, died on November 2, 1989. and factorization theories; problems be accused of Armenian nationalism He was the leading national figure in in elasticity theory, and ship waves since he had four graduate students Bayesian statistics, and had a pro and water resistance. who were Armenians. The rector did found influence on the development A profound intrinsic unity and a not understand the joke and tried, in of the discipline. close interlacing of general abstract all seriousness, to explain that in this Morrie worked in a wide variety and geometric ideas with concrete case there was no danger. of areas within Bayesian statistics, and analytical results and applica M. G. Krein responded to his but is most identified with the area of tions are characteristic of Krein's hostile surroundings in the only way rational decision-making under un work. open to him, by deep research and certainty. He was an originator, of Krein was a very fine pedagogue hard work. He and many of his stu ten opening up entirely new avenues and lecturer. He would always share dents were protected by virtue of his of research. He wrote three books, his new ideas and plans with his stu outstanding achievements. In retro edited four volumes, and authored dents and colleagues. He was known spect, it seems clear that he won this over one hundred papers. In addi for his scientific generosity and en very difficult struggle. Firstly, he was tion to fundamental work in statis thusiasm, as well as his kindness able to devote all his life to math tics itself, these included works with and attention to young mathemati ematics (teaching and research), the economists and other social scientists cians. The author of these lines was work he loved so much. Secondly, he in a wide variety of disciplines. From very privileged to have, during many was able to spend most of his life many such I have heard that Morrie years, such a teacher, coauthor and in Odessa, a town which he had al was the best collaborator they ever friend. He will always remember M. ways regarded with love and affection had; his brilliance and personality G. Krein with gratitude, affection (some of his friends thought that his made working with him a joy. and admiration. life would have been much easier in Research was but one of the ways In general, M. G. Krein was a Moscow or Leningrad). Thirdly, he in which Morrie profoundly influ fair, very amiable and kind person. was always the leader of a strong and enced statistics. His textbook Opti However, all of his life he battled dedicated group of colleagues and mal Statistical Decisions is one of against mediocrity. After the Second followers who loved and respected the great books in the field. Mor World War he had to contend with him. (This group existed almost on rie worked extensively on editorial hostile elements which fought fiercely a private basis, holding many of its boards, his two most influential stints against him using the officially sup meetings in his house, or at the Scien being his editorship of the Journal of ported antisemitism which was rife tists Club.) Fourthly, he had a great the American Statistical Association in the Ukraine, and especially so in impact on the development of math from 1971 to 1978, and his role Odessa. He was accused of Jewish ematics and its applications through from 1984-1988 as founder and first nationalism, presumably for having out the world. Even though he was Executive Editor of the highly ac had too many Jewish students before never allowed to travel abroad, his claimed journal Statistical Science. the War. This accusation was cer brilliant work knew no borders. Morrie was also extremely active in tainly included in his classified file This fight took a heavy toll on professional societies and in govern and was held against him all of his his health, and towards the end of mental (National Institute of Health life. Presumably, it played a signifi his life he suffered from depression. and National Research Council) ad cant role in his two dismissals which This condition worsened after the visory committees; his wisdom and were mentioned earlier. He was not tragic loss within one year of his guidance were sought by all. allowed to have Jewish students and wife, Rachel, and his only grand Morrie was born on June 8, 1931 was deprived of a university base. All son, Aleosh. M. G. Krein died in in Scranton, Pennsylvania. He grad attempts on the part of various so Odessa (USSR) where he is buried. uated from Roosevelt University in cieties and individuals in the Soviet He is survived by his daughter, Irma 1952 with a B.S. in mathematics, Union to gain for him some mea Krein (Kozdoba), and a greatgrand and received a Ph.D. in statistics sure of the official recognition which son, Mark Kozdoba. from the University of Chicago in he so richly deserved, were unsuc 1958. He spent his academic career cessful. Worse than that, there were Israel Gohberg at Carnegie-Mellon University, serv times when his friends feared that he Tel-Aviv University ing as founding Head of the Depart-
MARCH 1990, VOLUME 37, NUMBER 3 285 News and Announcements ment of Statistics in 1966. In 1984 Professor De Giorgi's work is received his Ph.D. in mathematics he was named University Professor. among the most important and cre from the Moscow Pedagogical Insti Morrie's brilliance and creativity ative accomplishments in the theory tute and his Doctor of Science in existed in concert with exceptional of partial differential equations and 1959 from the Steklov Mathemati warmth and good humor. He not the calculus of variations. At the time cal Institute. He currently holds joint only led scientifically, but was the he began his studies, mathematicians positions as professor of mathemat source of personal inspiration for were unable to handle anything be ics at Tel Aviv University and Yale many. His work and his personality yond second-order nonlinear elliptic University. will remain inextricably woven into equations in two variables. His first For almost forty years, Professor the fabric of statistics. major breakthrough came in 1957, Piatetski-Shapiro has been making James Berger when he proved that measurable co major contributions to mathematics Purdue University efficients were Holder continuous. by solving outstanding open prob Perhaps his greatest contribution was lems and by introducing new ideas in his 1960 regularity theory for min the theory of automorphic functions 1990 Wolf Prizes imal hypersurfaces. These arise as and its connections with number the The 1990 Wolf Foundation Prize surfaces of smallest area spanning a ory, algebraic geometry, and infinite in mathematics will be shared by given boundary. The proof required dimensional representations of Lie Ennio De Giorgi and Ilya Piatetski Professor De Giorgi to develop his groups. His work has been a major Shapiro. The $100,000 prize will be own version of what we now call ge and often decisive factor in the great presented to the winners in May ometric measure theory, along with progress this theory has seen in the 1990 by President Chaim Herzog at a related key compactness theorem. last three decades. the Knesset (Parliament) in Israel. He was then able to conclude that Among Professor Piatetski- a minimal hypersurface is analytic Shapiro's main achievements are: the outside a closed subset of codimen solution of Salem's problem about sion at least two. Since then, he and the uniqueness of the expansion of his school have settled many of the a function into a trigonometric se outstanding problems in this area. ries; the example of a nonsymmet ric homogeneous domain in dimen sion four answering Cartan's ques tion and the complete classification (with E. Vinberg and G. Gindikin) of all bounded homogeneous domains; the solution of Torelli's problem for K-3 surfaces (with I. Shafarevich); and a solution of a special case of Selberg's conjecture on unipotent el ements, which paved the way for important advances in the theory of discrete groups. In addition, he proved many results in the theory of automorphic functions, such as the extension of the theory to the general Ennio De Giorgi context of semi-simple Lie groups Professor De Giorgi was cited (with I. M. Gel'fand), the general for his "innovating ideas and funda theory of arithmetic groups operating mental achievements in partial dif on bounded symmetric domains, the ferential equations and calculus of first "converse theorem" for GL(3), variations." Professor De Giorgi was Ilya Piatetski-Shapiro the construction of L-functions for born in Italy in 1928 and received Professor Piatetski-Shapiro was automorphic representations for all his degree in mathematics from the cited for his "fundamental contri the classical groups (with S. Rallis), University of Rome in 1950. Since butions to the fields of homogeneous and the proof of the existence of 1959 he has been Professor of Alge complex domains, discrete groups, nonarithmetic lattices in hyperbolic braic and Infinitesimal Mathematical representation theory and automor spaces of arbitrarily large dimension Analysis at the Scuola Normale Su phic forms." Born in the U.S.S.R. (with M. Gromov). periore di Pisa. in 1929, Professor Piatetski-Shapiro
286 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY News and Announcements
Mathematicians Honored with their home institutions and the C. NEWELL; University of Arizona; in Germany countries in which they will study. Nonlinear optics and turbulence; Alexander Mielke of Stuttgart Uni Apparna Bhattacharya, Univer $500,000. ROBERT V. KOHN; New versity has been named as the first sity of California at Davis, West Ger York University; Center for analysis recipient of the Richard von Mises many; Lynn Fryberger, St. Olaf Col of heterogeneous and nonlinear data; Award of the Gesellschaft fi.ir Ange lege, Hungary; Laura Green, Clemson $500,000. DAVID KucK; University wandte Mathematik und Mechanik. University, West Germany. of Illinois, Urbana-Champaign; An The award ofDM 2,500 is in recogni integrated environment for the devel tion of Mielke's solution of the Saint 1989 Autumn Prize opment of scientific and engineering Venant problem (Saint-Venant's Prob of the Mathematical Society applications; $600,000. P. S. KRisH lem and Semi-Inverse Solutions in of Japan Awarded NAPRASAD; University of Maryland; Nonlinear Elasticity, Archive for Ra The Autumn Prize of the Mathemat Control of complex multibody space tional Mechanics and Analysis). ical Society of Japan in 1989 was craft; $400,000. Winners in the area of applied awarded to Shinzo Watanabe, Pro In an effort to distribute DOD re mathematics of the Heinz Maier fessor of Kyoto University, for his search and development funds more Leibnitz Award (DM 6,000 - DM outstanding contribution to Stochas broadly, Congress instructed the 12,000 to facilitate recognition of tic Analysis. DOD to use part of the URI funds young researchers and encourage fur to make grants to schools whose total ther scientific work) were: RoLAND 1990 URI Awards Announced R&D funds from DOD fall below $4 FREUND of Wtirzburg University for The Department of Defense (DOD) million. In fiscal year 1989, AFOSR's his work "On a Class of Cheby has announced the 1990 awards in its mathematics directorate made nine shev Approximation Problem which University Research Initiative (URI) such awards (see Notices, October Arise in Connection with a Conju Program. The Air Force Office of 1989, page 1004). This year, the Ap gate Gradient Type Method"; ENNO Scientific Research (AFOSR) and the plied and Computational Mathemat MAMMEN of Heidelberg University Defense Advanced Research Projects ics Program at DARPA made five for his work "Asymptotics with In Agency (DARPA) were the two DOD such awards in the area of wavelet creasing Dimension for Robust Re agencies that made URI awards in theory and its applications. Each year gression with Applications to the the mathematical sciences. for the three years, a total of $1.25 Bootstrap"; ALEXANDER MIELKE of The URI program was begun in million will go to support six grants. Stuttgart University for his work 1986 as a way to enable universities The names of the DARPA/URI "Saint-Venant's Problem and Semi to strengthen their ability to conduct principal investigators and their in Inverse Solutions in Nonlinear Elas basic research in areas important to stitution, are: CHING-CHUNG LI, Uni ticity"; TOBIAS VON PETERSDORFF of national defense. One purpose of the versity of Pittsburgh; WOLODYMYR Technische Hochschule for his work URI program is to stimulate inter R. MADYCH, University of Connecti "Boundary Integral Equations for disciplinary, collaborative research, cut; REESE T. PROSSER, Dartmouth Mixed Dirichlet, Neumann and Trans so the URI grants typically pro College; GuiDo L. WEiss, Washing mission Problems"; MICHAEL RocK vide support for workshops, visitors, ton University; GRANT V. WELLAND, NER of the University of Edinburgh postdoctoral researchers, and gradu University of Missouri at St. Louis; for his work "Traces of Harmonic ate students. Individuals interested and R. 0. WELLS, JR., Rice Univer Functions and a New Path Space in these activities should contact the sity. for the Free Quantum Field"; and URI principal investigators directly. GABRIEL WITTUM of Heidelberg Uni The Directorate for Mathemati Instrumentation Awards versity for his work "Multi-Grid cal Sciences at AFOSR made five, Announced Methods for Stokes and Navier-Stokes three-year URI awards, out of a to The National Science Foundation Equations- Transforming Smoothers: tal of forty proposals submitted. The (NSF) has announced awards in its Algorithms and Numerical Results." names of the principal investigators, Undergraduate Instrumentation and their affiliations, the titles of their Laboratory Improvement (ILl) pro Graduate Student Fulbrights projects, and the sizes of the grants gram. The awards were made to com The United States Information Agen are listed below. The amounts stated munity colleges, four-year colleges, cy and the Institute of International will be given each year for three and doctoral universities across the Education have announced the names years. nation. of U.S. graduate students who have H. THOMAS BANKS; University of The proposals are evaluated and received Fulbright awards for 1989- Southern California; Modeling, esti funded collaboratively by the NSF's 1990. Those receiving awards in math mation, and control of distributed Division of Undergraduate Science, ematics are listed below, together parameter systems; $400,000. ALAN Engineering, and Mathematics Edu-
MARCH 1990, VOLUME 37, NUMBER 3 287 News and Announcements cation and by the NSF's research J. E. WHITE, Kenyon College; B. J. and energy to make a variety of directorates. The awards encompass WINKEL, Rose-Hulman Institute of contributions to the improvement of a wide range of science and engineer Technology; W. ZIMMERMAN, Uni mathematical instruction at the pre ing disciplines. versity of the Pacific. college and college levels, particularly Below are listed the principal in The deadline for the next ILl in the area of encouraging minority vestigators and their institutions for competition will probably be in mid students. For example, last year he the awards in the mathematical sci November, 1990. Gerald Chachere helped to organize a six-week, na ences. The list includes awards made of the Division of Mathematical Sci tional program funded by the Sloan fiscal 1989 and some from fiscal ences handles proposals from Ph.D. Foundation to encourage mathemat 1990. granting institutions; he can be ically talented women and minority B. BRADEN, Northern Kentucky reached at 202-357-3453 or via elec undergraduates to pursue careers re University; J. W. BURGMEIER, Uni tronic mail, [email protected] (In quiring the mathematics doctorate. versity of Vermont; J. CALLAHAN, ternet) or gchachere@nsf (Bitnet). In addition to serving as an advisor Smith College; W. D. CuRTIS, Kansas Spud Bradley, program director for to graduate students in mathematics, State University; R. L. DEVANEY, calculus curriculum development in he has had five doctoral students over Boston University; E. L. DuBINSKY, the Division of Undergraduate Sci the last twenty years in an interdisci Purdue University; J. A. FEROE, Vas ence, Engineering, and Mathematics plinary program in mathematics and sar College; ULF GRENANDER, Brown Education, handles proposals for all science education. His founding 25 University; M. HoFT, University of other institutions; he can be reached years ago of the Mathematics Op Michigan, Dearborn; A. L. HUDSON, at 202-357-7051 or via electronic portunity Committee in the Berkeley Armstrong State College; J. F. HuR mail, [email protected] (Internet) or mathematics department has helped LEY, University of Connecticut, sbradley@nsf (Bitnet). The street ad to increase the number of women Storrs; M. B. JACKSON, Earlham Col dress is National Science Founda and minorities receiving mathemat lege; D. J. JoHN, Wake Forest Univer tion, 1800 G Street, NW, Washing ics Ph.D.s. Also well known as an sity; P. T. JUDSON, Trinity Univer ton, DC 20550. excellent expositor of mathematics sity; W. J. KAMMERER, Georgia In (as a writer and lecturer), Profes stitute of Technology; W. H. KRAus, sor Henkin received the 1964 MAA Wittenberg University; D. R. MAA Prizes Presented Chauvenet Prize. He was born in LATORRE, Clemson University; D. in Louisville Brooklyn, New York in 1921 and LovELOCK, University of Arizona, The Mathematical Association of received his Ph.D. in 1947 from Tucson; J. C. MATHEWS, Iowa State America (MAA) presented a number Princeton University. University of Science and Technol of prizes during the Joint Mathemat DAVID HOFFMAN of the Univer ogy; L. D. MEEKER, University of ics Meetings in Louisville, Kentucky sity of Massachusetts at Amherst New Hampshire; J. R. MICHEL, Mari in January. received the 1990 Chauvenet Prize etta Collge; L. C. MooRE, Duke Uni The Award for Distinguished Ser for his article, "The Computer-Aided versity; D. B. O'SHEA, Mount Holyoke vice, consisting of $4000 and a cer Discovery of New Embedded Min College; H. C. PINKHAM, Columbia tificate, is made for outstanding ser imal Surfaces" (The Mathematical University; G. E. RUBIN, Marshall vice to mathematics through activ Intelligencer, volume 9, 1987, pages University Foundation, Inc.; B. ities that significantly influence the 8-19). The article presented a many TRAVIS, University of Texas at San field of mathematics or mathemat faceted description of recent progress Antonio; A. J. ScHAEFFER, Eastern ics education on a national scale. in the theory of minimal surfaces. Illinois University; D. H. ScHULTZ, The Chauvenet Prize of $500 and The role of the computer in the University of Wisconsin, Milwau a certificate recognizes a notewor discovery of new complete mini kee; D. D. ScHWARTZ, Ithaca Col thy mathematics paper which would mal surfaces of finite total curvature lege; T. S. SHORES, University of make interesting and profitable read in R3 gives this story a fascinat Nebraska, Lincoln; A. H. SHUCHAT, ing for all MAA members. ing new twist. The excellence of the Wellesley College; D. C. SLOUGHTER, LEON HENKIN of the University exposition and the many computer Furman University; D. B. SMALL, of California at Berkeley received generated illustrations (some in full Colby College; J. R. SMART, Uni the 1990 Award for Distinguished color) combined to produce a mar versity of Wisconsin, Madison; P. N. Service. A former president of the velous article of interest to the entire SOMERVILLE, University of Central Association for Symbolic Logic, Pro mathematical community. Born in Florida; K. D. STROYAN, University fessor Henkin has an outstanding 1944 in Far Rockaway, New York, of Iowa; D. P. SUMNER, University record of scholarly work in his field Professor Hoffman received his Ph.D. of South Carolina at Columbia; G. J. of logic and the foundations of math in 1972 from Stanford University. WITT, Glendale Community College; ematics. He has also found the time
288 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY News and Announcements
MSEB Issue Two Reports The report is not intended to de fiscal year 1990 budget appropriation The Mathematical Sciences Educa tail the specifics of an ideal curricu from Congress in December. tion Board (MSEB) of the National lum, but rather to lay out goals and Compared to other areas in the Research Council has issued two principles as the groundwork for the NSF's Mathematical and Physical reports on improving mathematics formulation of new curricula. Stating Sciences directorate, the Division of teaching and learning in the U.S. that "Foundations for an improved Mathematical Sciences (DMS) fared Taken together, the reports cover mathematics curriculum must rest well, with a 5% increase; overall, the two important aspects of the math on analysis of the nature of math directorate received an increase of ematics education reform effort: the ematics and the goals of mathemat about 3%. The 12% increase for the impetus and support coming from ics education," the report describes directorate for Computer and Infor business and industry, and the intel some aspects of the nature of the mation Science and Engineering will lectual groundwork needed to rethink subject, as well as principles of ed be used primarily for the NSF super the mathematics curriculum. ucation, that must guide curricular computing centers and networking. The first report, "Mathematics reform. Illustrated with pictures and Overall, NSF's research activities re Education: Wellspring of U.S. Indus enlivened with a number of examples ceived only a 6% increase over the trial Strength," represents the pro of mathematical problems, the report fiscal 1989 level, a far cry from the ceedings of a symposium held in is required reading for those with a original requested increase of about December, 1988. The symposium stake in improving mathematics ed 14%. brought together representatives from ucation. Funds originally intended for the business, industry, government, and Copies of the "Wellspring" report Science and Technology Centers will education to discuss shared concerns are available free of charge by calling be used to ease tight funding in about the quantitative and problem the MSEB office at 202-334-3294, or certain research divisions and also solving skills of the work force. "The writing to them at 818 Connecticut to allow for an increase of around rudimentary skills that satisfied the Avenue, NW, Suite 500, Washington, 11% for the existing Centers which needs of the workplace in the past DC 20006. were funded last year. The current no longer suffice," says the 20-page "Reshaping School Mathematics" batch of Centers proposals are to be report, noting that today's workers is available from National Academy evaluated this Spring and funded out need to be able to work with data and Press for $7.95. There is a 15% dis of the fiscal 1991 budget. computers, solve problems and make count for 5-24 copies and a 25% The 2% reduction will take a bite estimates, and collaborate and com discount for 25-499 copies. All or out of the yearly increments the NSF municate with other workers. Pep ders must be prepaid, and there is makes on continuing grants to off pered with quotes from the partici a $2.00 fee for shipping and han set inflation, which was around 4% pants, the report describes some of dling. To order by phone using a last year. Within the DMS, all bud the problems and outlines means for credit card, call toll-free, 1-800-624- get categories on such grants will change. 6242, Monday through Friday, 8:30- be scaled back by 2%, but grantees The other report, entitled "Re 5 (ET). The mailing address is Na will be encouraged, to the extent shaping School Mathematics: A Phi tional Academy Press, 2101 Consti that they can, to restore the orig losophy and Framework for Curricu tution Avenue, NW, Washington, DC inal amounts intended for student lum," is a more ambitious docu 20418. support. However, the Division will ment. The 60-page report proposes not decrease its total allocation for a framework for reform of school NSF's Fiscal 1990 Budget support of graduate students. Certain mathematics by means of changes Due to budgetary pressures, the Na NSF programs, such as the graduate in the curriculum. Two issues are tional Science Foundation (NSF) has fellowships, will be protected from central to the report: the changing foregone plans for a new round the 2% reduction. perspectives on the need for math of Science and Technology Centers In a notice to colleges, universi ematics, the nature of mathematics, for the current fiscal year. And, ties, and other organizations, NSF and the learning of mathematics; and because of a Gramm-Rudman se Director Erich Bloch stated that the the changing roles of calculators and quester and other across-the-board Foundation believes the 2% scaleback computers in the practice of mathe reductions that affected a number of increments on continuing grants matics. Ideas for reform are outlined of government agencies, all incre "is the fairest way to ensure that the in both what is taught and how it ments planned for continuing NSF effect of the across-the-board [NSF is taught; the focus is on curricular grants and cooperative agreements budget] reductions is shared equi change, but the report also addresses will be reduced by 2%. The steps tably among new and prior grantees. teacher education, assessment, and were taken as the NSF formulated The budget amounts freed up will instructional materials. its spending plan after receiving its remain with the programs, divisions,
MARCH 1990, VOLUME 37, NUMBER 3 289 News and Announcements and directorates that funded the orig kins University Medical School; Future Events inal awards and will be used to David Packard, Hewlett-Packard Future programs, presently in place, ease the disproportionate impact on Company; Harold T. Shapiro, are as follows: new and renewal proposals in those Princeton University. 1990-1991: Partial Differential Equa fields." tions and Continuum Mechanics, Rep Congress again boosted the bud resentations of Finite Groups (first get of Science and Engineering Edu half), Strings in Mathematics and cation (SEE) above the level the NSF Physics (second half). had requested, providing a 19% in News from the 1991-1992: Statistics, Lie Groups and crease. Within the SEE directorate, Mathematical Sciences Ergodic Theory, Mathematical Biol funding for the calculus curriculum Research Institute ogy (Summer 1992). development program will remain Berkeley, California 1992-1993: Algebraic Geometry, Sym level. However, a significant portion The Mathematical Sciences Research bolic Dynamics (first half), Transcen of the DMS increase for fiscal 1990 Institute (MSRI) Board of Trustees dence and Diophantine Problems will go toward funding new calculus has voted to appoint Robert Osser (second half). curriculum development projects, in man of Stanford University to a three MSRI welcomes suggestions and creasing the total funding for this ac year term as MSRI's Deputy Direc proposals for future programs. tivity by 25-35%. This year, the NSF tor, beginning September 1, 1990. Applications are currently invited will also begin supporting curricu He will succeed Emery Thomas, the for 1991-1992. MSRI will offer post lum development projects in other present Deputy Director, who has doctoral fellowships and senior mem undergraduate courses (see Notices, held the post since April, 1987. berships; the deadline for applying is February 1990, page 145). November 30, 1990. In addition, the In addition, the appropriations Events of 1989-1990 program.of research professorships legislation for the NSF's fiscal 1990 At the halfway point in the aca will be repeated; this has the earlier budget reinstates the salary cap in demic year a great deal of activity deadline of October 1, 1990. Can stituted last year. This rule stipulates has already taken place in our two didates are welcome in all areas of that no individual may receive salary main programs - Logic and Alge the mathematical sciences as well as reimbursement on any NSF grant at braic Topology and its Applications. in the main programs. Watch for a rate that exceeds the equivalent of In Octber MSRI held a workshop detailed announcements in an adver $95,000 per year. on Set Theory and the Continuum tisement in the AMS Notices and in (organized by H. Woodin), while in a widely distributed poster. Bush Names Science Council November two workshops took place: The MSRI Scientific Advisory In mid-February, President Bush Homotopy Theory (organized by G. Council recently appointed the fol named the members of the Presi Carlsson) and one on Logic Related lowing research professors for 1990- dent's Council of Advisers on Science to Computer Science and Program 1991: Robert Friedman, Jerome Gold and Technology. The appointment of ming Language Theory (organized stein, Corinne Manogue, Emma Pre the Council represents a change from by Y. Moschovakis). Two events oc viato, Robert Robson, Gilbert Sten the Reagan Administration, which re curred in January, 1990: The Pacific gle. Offers are presently going out for lied only on the Science Adviser and Geometry Seminar met at MSRI Jan postdoctoral fellowships and senior the Office of Science and Technol uary 13-14, while during the week of memberships for 1990-1991. ogy Policy. D. Allan Bromley, the January 22-26 there was a workshop President's Science Adviser, chairs on Applications of Algebraic Topol News from the the Council. The other members are: ogy to Geometry and Analysis (orga Institute for Mathematics Norman E. Borlaug, Texas A&M nized by R. Cohen and J. Jones). The and its Applications University; Solomon J. Buchsbaum, period March 19-April 20 is a spe University of Minnesota AT&T Bell Laboratories; Charles L. cial month devoted to Number The The Institute for Mathematics and Drake, Dartmouth College; Ralph E. ory and Algorithms, organized by H. its Applications (IMA) is initiating a Gomory, Sloan Foundation; Berna Lenstra, with a workshop (with the Summer Program for Graduate Stu dine Healy, Research Institute of the same title) the week of March 26- dents from the 19 IMA Participating Cleveland Clinic; Peter W. Likens, 29. In May (14-18), MSRI will host Institutions. Each year the program Lehigh University; Thomas E. Love a workshop on K-Theory (organized will bring together for four weeks in joy, the Smithsonian Institution; Wal by W. C. Hsiang and J. Jones). The the summer, a select group of 30-40 ter E. Massey, University of Chicago; final event of the year is a workshop students from the Participating In John P. McTague, Ford Motor Com on Model Theory, organized by E. stitutions. The students will live in pany; Daniel Nathans, Johns Hop- Hrushovski, June 4-8, 1990. a dormitory on one of the PI cam-
290 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY News and Announcements puses; the location of the campus about how specific algebraic proces News from the may change from year to year. Dur sors work and how researchers have Mathematical Sciences Institute ing the four weeks, there will be a used these systems. Each participant Cornell University series of (related) lectures to be given will be given a computer account on The second of two summer work by four senior mathematicians. The one of the IMA's workstations with shops at the Mathematical Sciences summer 1990 program is on Algebra easy access to six computer algebra Institute (MSI) will be Function Es and will be held July 2-27 at the systems. timation and Statistical Applications, University of Michigan, Ann Arbor. From mid-April to mid-June 1990 June 14-16, 1990. Organized by Melvin Hochster is the coordinator; there will be a period of concentra David Ruppert, Operations Research the speakers are Craig Huneke, Hy tion on Fluid Flow and Convection and Industrial Engineering, 'Cornell man Bass, Charles Curtis and Philip Dynamics, organized by George F. University and J. S. Marron, Uni Hanlon. Carnevale, Ciprian Foias, Raymond versity of North Carolina, Chapel The 1989-1990 academic year pro Pierrehumbert, Roger Temam, and Hill, this workshop will focus on us gram at the IMA is Dynamical Sys David Yuen. Workshops during this ing data to estimate unknown func tems and their Applications. The period are Dynamical Theories of tions. Much of statistics concerns early spring (March 19-April 13) Turbulence in Fluid Flows (May 29- the estimation of functions, such as portion of the program is a period of June 2, 1990); Nonlinear Phenom conditional expectations (regression concentration on Mathematical Phys ena in Atmospheric and Oceanic Sci functions), probability densities, and iology and Differential-Delay Equa ences (June 4-8, 1990); and Chaotic hazard functions. In classical statis tions, organized by Michael Mackey, Processes in the Geological Sciences tics, these functions are generally as Jack Hale, Nancy Kopell, and John (June 11-15, 1990). The last two are sumed to be known a priori, except Mallet-Paret. The central theme is sponsored jointly with the Minnesota for a finite number of real valued pa the effects of delays in biological dy Supercomputer Institute. rameters which are estimated. Such namics. Following introductory ex The IMA will run two summer assumptions are often unrealistic and pository talks by the organizers, over programs in 1990. The first of these can cause features of the data to be view talks of 2-3 hours each will be is Radar and Sonar (June 18-29), or obscured because they do not exist given on the weekly topics by William ganized by Alberto Grunbaum, Mar in the assumed model. Brock and Doyne Farmer (Time Se vin Bemfeld, Richard E. Blahut and This workshop is on modem sta ries Analysis and Chaotic Dynam Richard Tolimieri. The first week tistical methods not relying on para ics); Jeffrey Grinstein and Roger wil be run as a summer school with metric assumptions. Nonparametric Traub (Genesis of Large Scale Collec minicourses by Richard E. Blahut, estimation of functions is based on tive Activity in Higher Order Neural Willard Miller, Jr., and C. H. Wilcox. locally averaging, for example, Nets); Uwe an der Heiden and John During the second week scientists through splines, kernels, or estima Rinzel (Single Neuron Models and (from industry, universities and gov tion of coefficients in a series ex Small Neural Networks); and Scott ernment agencies) who are working pansion. The degree of smoothing Fraser and James Murray (Develop on Radar or Sonar will present re or local averaging is controlled by mental Biology: Dynamics of Pattern search problems. a "smoothing parameter." Although Formation and Morphogenesis). The other 1990 summer program many nonparametric estimation meth Based on the success of the sym is New Directions in Time Series ods for functions have been known bol manipulation workshop offered Analysis (July 2-27), organized by for several decades and some, such last year, the IMA has added a spe Emanuel Parzen, David Brillinger, as the histogram for much longer, cial workshop to the spring sched Murray Rosenblatt, Murad Taqqu, the difficult problem of choosing the ule: Using Algebraic Processors in John Geweke and Peter E. Caines. smoothing parameter has been ad Dynamical Systems (April 16-20, The weekly topics are Non-Linear dressed only recently. There now ex 1990). The organizers are Ken Meyer Models, Self-Similar Processes & ist a variety of methods for data and Peter Olver. The main purpose Long Range Dependence, Interac based selection of a smoothing pa of this workshop is to introduce re tions of Time Series & Statistics, rameter, rather precise asymptotic searchers in dynamical systems to the and Time Series Research Common descriptions of their behavior, and capabilities of automated algebraic to Engineers & Economists. bounds on the convergence rate of processors like MACSYMA, MAPLE For more details concerning the any estimator of the optimal smooth and other such systems. Several se two summer programs, see the ad ing parameter. This is still an area ries of tutorial lectures and research vertisements in the January 1990 No of intense research activity, and the lectures will teach the participants tices. speakers at this workshop include
MARCH 1990, VOLUME 37, NUMBER 3 291 News and Announcements leaders in this field: N. Altman, R. J. November 1989 Notices for a full Application deadline is Decem Carroll, D. Cline, D. Cox, R. Eubank, description. Registration packets are ber 21, 1990. Further information, P. Hall, I. Johnstone, R. Liu, J. S. now available. Contact conference such as the rules of the contest, Marron, D. Nychka, J. Rice, D. Scott, secretary Diana Drake at the MSI should be available by March 1990 P. Speckman, and M. Wells. address listed above, phone number from Prix Fermat de Recherce en Function estimation has close ties 607-255-7752. Mathematiques, Service des Rela with other areas of mathematics in tions Publiques, Universite Paul cluding numerical, functional, and Sabatier, 118 route de Narbonne, Fourier analyis and probabilistic limit The Fermat Prize for 31062 Toulouse Cedex, France. theory. Research in Mathematics This workshop will be held at Cor The Fermat Prize will reward the nell University. For more informa research of mathematicians working Erratum tion about the scientific content, con in the areas in which the contribu Postdoctoral Positions tact David Ruppert, School of Op tions of Pierre de Fermat have been Research or Research/Teaching erations Research and Industrial En significant: principles of variational In the December 1989 Notices, page gineering, Cornell University, 343A theory, the foundations of the calcu 1454, it was reported that Memphis Upson Hall, Ithaca, NY 14853, 607- lus of probabilities and of analytic State University had 21 postdoctoral 25 5-9136. [email protected]. geometry, and number theory. The research or research/teaching posi To register for the workshop, list, however, is not restrictive; the tions available. The actual number contact Valerie Styles, Mathematical spirit of the prize is rather to re of positions available is 2. Sciences Institute, Cornell Univer ward the results of research that is sity, 201 Caldwell Hall, Ithaca, NY accessible to the greatest number of Errata to 1989 Index 14853-2602, 607-255-7740. professional mathematicians. The following are corrected entries MSI is sponsoring a major sym The amount of 100,000 FF (U.S. for the 1989 Index to Notices, which posium on "Modern Perspectives of $17,500) has been designated by appeared on page 1558 in the De Mathematics: Mathematics as a Con MATRA-Espace for the Fermat Prize, cember issue. sumer Good, Mathematics in Acade which will be awarded every other PRIZE RECIPIENTS mia," March 29-31, 1990, at Cornell year in Toulouse. The second award Calderon, Alberto, 267, 833 University. See this column in the will take place in the spring of 1991. Kawamata, Yujiro, 43
AMS Reprint Series Acquisition Editor Changes in tax laws have made it less profitable and sometimes even unprofitable for commercial publishers Lance W. Small is serving as Acquisition Editor for the to keep books in print. As a result, some good books Society. He is available to assist potential authors in de have been allowed to go out of print. The Society veloping projects and referring book manuscripts to the has established a reprint series as a service to the appropriate editorial committee for final acceptance. mathematical community. The Series will contain books Authors with manuscripts or publication proposals of of lasting interest and value. A Committee on Reprinted various types including lecture notes, surveys, advanced Books has been appointed to judge the suitability of research monographs, graduate level textbooks or books available books for reprinting. Suggestions of books to of general mathematical interest should contact Profes be included should be sent to: sor Small at the address below.
Mary Lane Director of Publication Professor Lance W. Small American Mathematical Society Department of Mathematics P.O. Box 6248 University of California Providence, RI 02940 at San Diego La Jolla, CA 92093 [email protected] It would be helpful if a short description and informa tion such as the original publisher were included.
292 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Funding Information for the Mathematical Sciences
Proposals for the NSF's BITNET. For example, to contact els, materials development, confer Division of Mathematical Sciences Ann Boyle via Internet, use the ad ences for parents and other interested Research proposals submitted to the dress [email protected]. members of the public, and regional Division of Mathematical Sciences The street address for the DMS is networks. Because of the complex (DMS) of the National Science Foun National Science Foundation, Room ity and coordination invlolved in the dation should be submitted six to 339, 1800 G Street, NW, Washing Centers, a blend of development and nine months prior to the expected ton, DC 20550. implementation activities is quite ap start date, to ensure timely notifi propriate for these projects. The Cen cation of outcome. The DMS will Access for Women, ters are intended to be long term accept such proposals at any time of Minorities and the Disabled efforts and should at the outset have the year. The program officers in the Career Access Opportunities in Sci significant contributions from non DMS are listed below: ence and Technology for Women, NSF sources. Minorities, and the Disabled is a pro Model Undergraduate Projects for Algebra and Number Theory gram of the National Science Foun Women, Minorities, and the Disabled Ann Boyle 202-357-3695 dation (NSF) which seeks to enhance seek to encourage colleges, universi Jonathan Lubin opportunities for those groups that ties, and other organizations to de Applied Mathematics have historically been underrepre sign and create highly focused ac Alfonso Castro 202-357-3686 sented in science and engineering. tivities at the undergraduate level. Fred Howes The program supports two kinds of With an emphasis on testing new Classical Analysis activities. ideas (rather than replicating proven John Ryff 202-357-3455 Comprehensive Regional Centers programs), the projects design learn Computational Mathematics for Minorities involve a systemic ap ing experiences in science and math Alvin Thaler 202-357-3691 proach to increasing the minority ematics that will encourage entry Geometric Analysis presence in science and engineering. or improve retention for underrep Russell Walker 202-357-3451 The projects are focused in regions of resented groups. In addition, this Modern Analysis high minority population and are de program supports regional workshops Ira Herbst 202-357-3697 veloped through partnerships among and national conferences. Special Projects colleges and universities, school sys The deadline for proposals for Deborah Lockhart 202-357-3453 tems, state and local governments, both activities is April 2, 1990. For Gerald Chachere business and industry, etc. The Cen more information, contact Theodore Statistics and Probability ters are comprehensive in their cov Reid, Program Director, Career Ac Mary Ellen Bock 202-357-3693 erage of science, mathematics, and cess Opportunities in Science and Peter Arzberger engineering; in addressing all educa Technology for Women, Minorities, Topology and Foundations tional levels from elementary through and the Disabled, Office of Under Ralph Krause 202-357-3457 graduate; and in emphasizing inter graduate Science, Engineering, and action among cooperating organiza Mathematics Education, Room 639, Program officers may be con tions. National Science Foundation, 1800 G tacted via electronic mail. To form Specific activities within the cen Street, NW, Washington, DC 20550; an individual's address, take the first ters might include teacher work telephone 202-357-7051; electronic initial and last name, and append shops, faculty seminars, enrichment mail [email protected] (Inter @nsf.gov for Internet or @nsf for experiences for students at all lev- net) or undergrad@nsf (Bitnet).
MARCH 1990, VOLUME 37, NUMBER 3 293 For Your Information
Bucharest Library Polish Mathematical Publications The Society has received a letter from Dr. Ion Stoica, The Society received a letter from Professor Stefan director of the Central University Library in Bucharest, Rolewicz of the Mathematics Institute of the Polish Romania. In part, this letter says: Academy of Sciences. Professor Rolewicz stated that, as "At the end of 1989, the Central University Library of January 1990, the Banach Center Publications and in Bucharest passed through the historic events which the following mathematical journals are published and resulted in the overthrowing of the Ceausescu dictator distributed by the Institute: ship, suffering great losses in all categories of collections. Acta Arithmetica Half a million volumes belonging to the most valuable collections were burnt by the fire caused by the terrorists. Annates Polonici Mathematici Applicationes Mathematicae (Zastosowania M atematyki) There were destroyed special collections of ines Colloquium Mathematicum timable value: manuscripts and correspondence signed Dissertationes Mathematicae (Rozprawy Matematyczne) by personalities of the universal culture, collections of unique photographs and documents, collections of mi Fundamenta Mathematicae, and Studia Mathematica. crofilms and microfiches, etc. There were also destroyed Professor Rolewicz wrote that he would appreciate library microfiche producing devices, such as printing publication of this information to help support the Polish machines, copying machines, typewriters, computers, mathematical community. Scientific research there has etc. The building of the Central Library, a monument of architecture in Bucharest, was gravely damaged." met with difficult times as a result of Polish economic instability, he said. If you are interested in these problems or have All inquiries concerning subscriptions, sale, exchange, information which could be of heip to our Romanian etc., should be sent to Professor Rolewicz at the following colleagues, please contact the chairman of the AMS address: Committee on Service to Mathematians in Third World Countries: Mathematical Institute Professor Raymond Ayoub ul.Sniadeckich 8 Department of Mathematics P. 0. Box 137 The Pennsylvania State University PL-00-950 Warszawa University Park, PA 16802 Poland email: [email protected], Telexes may be sent to Professor Rolewicz at the who will act as a coordinator of individual efforts in this number PL 816112. matter.
294 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY 1990 AMS Elections Nominations by Petition
Vice-President or Member-at-Large inating Committee, namely: One position of vice-president and member of the Council ex Joan S. Birman Ray A. Kunze officio for a term of two years is to be filled in the election of James E. Humphreys Alan D. Weinstein 1990. The Council intends to nominate two candidates, whose Barbara Lee Keyfitz Robert F. Williams names may be expected to appear in the June issue of Notices, Victor Klee which is scheduled to be mailed by the printer on 23 May. Nom The new members will be elected in a preferential ballot. The inations by petition as described in the rules and procedures are President will name five candidates for these three places. The acceptable. names may be expected to appear in the June issue of Notices. Five positions of member-at-large of the Council for a term Nominations by petition, in the manner described in the rules of three years are to be filled in the same election. The Coun and procedures, will be accepted. Should the final number of cil intends to nominate seven candidates, whose names may be candidates be less than six, the President will bring it up to six. expected to appear in the June Notices. Nominations by peti The name of a candidate for member of the Nominating tion in the manner described in the rules and procedures are Committee may be placed on the ballot by petition. The candi acceptable. The Council has stated its intent to have at least ten date's assent and petitions bearing at least 100 valid signatures candidates and will bring the number up to ten if the nomina are required for a name to be placed on the ballot. In addition, tions by petition do not do so. several other rules and operational considerations, described be Petitions are presented to the Council, which, according to low, should be followed. Section 2 of Article VII of the bylaws, makes the nominations. The Council of 23 January 1979 stated the intent of the Coun cil of nominating all persons on whose behalf there were valid Rules and Procedures petitions. Use separate copies of the form for each candidate for vice-president, Prior to presentation to the Council, petitions in aid of a member-at-large, or member of the Nominating and Editorial Boards candidate for the position of vice-president or of member-at Committees. large of the Council must have at least 50 valid signatures and 1. To be considered, petitions must be addressed to Robert M. must conform to several rules and operational considerations, Fossum, Secretary, P.O. Box 6248, Providence, Rhode Island 02940, which are described below. and must arrive by 6 July 1990. 2. The name of the candidate must be given as it appears in the Combined Membership List. If the name does not appear in the list, as Editorial Boards Committee in the case of a new member or by error, it must be as it appears in Two places on the Editorial Boards Committee will be filled by the mailing lists, for example on the mailing label of the Notices. If the election. There will be four continuing members of the Editorial name does not identify the candidate uniquely, append the member Boards Committee, namely: code, which may be obtained from the candidate's mailing label or the Linda Keen Barry Simon Providence office. 3. The petition for a single candidate may consist of several sheets Carlos Kenig Daniel Zelinsky each bearing the statement of the petition, including the name of the The new members will be elected in a preferential ballot. The position, and signatures. The name of the candidate must be exactly President will name three candidates for these two places. The the same on all sheets. names may be expected to appear in the June issue of Notices. 4. On the next page is a sample form for petitions. Copies may be Nominations by petition, in the manner described in the rules obtained from the Secretary; however, petitioners may make and use and procedures, will be accepted. Should the final number of photocopies or reasonable facsimiles. candidates be less than four, the President will bring it up to 5. A signature is valid when it is clearly that of the member whose name and address is given in the left-hand column. four. 6. The signature may be in the style chosen by the signer. The name of a candidate for member of the Editorial Boards However, the printed name and address will be checked against the Committee may be placed on the ballot by petition. The candi Combined Membership List and the mailing lists. No attempt will be date's assent and petitions bearing at least 100 valid signatures made to match variants of names with the form of name in the CML. are required for a name to be placed on the ballot. In addition, A name neither in the CML nor on the mailing lists is not that of a several other rules and operational considerations, described be member. (Example: The name Robert M. Fossum is that of a member. low, should be followed. The name R. Fossum appears not to be.) 7. When a petition meeting these various requirements appears, the Secretary will ask the candidate whether he is willing to have Nominating Committee his name on the ballot. Petitioners can facilitate the procedure by Three places on the Nominating Committee will be filled by accompanying the petitions with a signed statement from the candidate election. There will be seven continuing members of the Nom- giving his consent.
MARCH 1990, VOLUME 37, NUMBER 3 295 NOMINATION PETITION FOR 1990 ELECTION
The undersigned members of the American Mathematical Society propose the name of
as a candidate for the position of (check one): D Vice-President D Member-at-Large of the Council D Member of the Nominating Committee D Member of the Editorial Boards Committee of the American Mathematical Society for a term beginning 1 January, 1991.
Name and Address (printed or typed)
Signature
Signature
Signature
Signature
Signature
Signature
296 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY MEETINGS
University Park, Pennsylvania State University April 7-8 Program
The eight-hundred-and-fifty-seventh meeting of the Registration American Mathematical Society will be held at the The meeting registration desk will be located in the Pennsylvania State University in University Park, Penn lobby of the Keller Conference Center. The registration sylvania, on Saturday, April 7, and Sunday, April 8, fees are $30 for members of the AMS or ASL, $45 1990. This meeting will be held in conjunction with a for nonmembers, and $10 for students and unemployed meeting of the Association for Symbolic Logic (ASL). mathematicians.
Invited Addresses Petition Table By invitation of the Eastern Section Program Committee, A petition table will be set up in the registration area. there will be four invited addresses. The speakers, their Additional information about petition tables can be affiliations, the titles of their talks where available, and found in a box in the Louisville meeting announcement the scheduled times of presentation are: in the October 1989 issue of Notices. ROBERT T. GLASSEY, Indiana University, On co/li sionless plasmas and the Vlasov-Maxwell equations, 11:00 a.m. Sunday. Activities of Other Organizations KARsTEN GROVE, University of Maryland, College The Pennsylvania Prognostic Testing Conference will Park, Geometry and topology of manifolds curved from be held on Friday, April 6, from 1:30 p.m. to 4:30 below, 1:30 p.m. Sunday. p.m. BERT K. WAITS, Ohio State University, will discuss LOWELL EDWIN JONES, State University of New York the Ohio Early Mathematics Placement Testing Program. at Stony Brook, Rigidity for non-positively curved mani JoHN G. HARVEY, the University of Wisconsin, Madison, folds, 11:00 a.m. Saturday. will briefly describe prognostic testing programs in the GANG TIAN, Princeton University, Einstein metrics United States and discuss the effects of calculators on on algebraic manifolds, 1:30 p.m. Saturday. mathematics testing. The ASL will have three invited one-hour addresses. Special Sessions The speakers are HARVEY M. FRIEDMAN, Ohio State LIPSCHITZ, Purdue Uni By invitation of the same committee, there will be four University, Columbus; LEONARD C. PHEIDAS, the University of special sessions of selected twenty-minute papers. The versity; and ATHANASIOS topics, and the names and affiliations of the organizers, Illinois at Urbana-Champaign. co-sponsor a symposium are as follows: The ASL and the AMS will to be moderated by Classical and quantum groups, RANEE KATHRYN on Number theory and decidability and STEPHEN G. BRYLINSKI, Pennsylvania State University. BARRY MAZUR, Harvard University, panelists Algebraic topology, DONALD M. DAVIS, Lehigh Uni SIMPSON, Pennsylvania State University. The MACIN versity. will be SERGE LANG, Yale University, ANGUS Lou VAN DEN DRIES, the Geometric topology, THOMAS FARRELL, Columbia TYRE, Oxford University, and University. University of Illinois, Urbana. Recent progress on Einstein manifolds and related topics, GANG TIAN. Social Event A wine and beer reception will be held Saturday evening, Contributed Papers April 7, from 5:00 p.m. to 7:30 p.m. in the Fireside There will also be sessions for contributed ten-minute Lounge at the Nittany Lion Inn. The admission price is papers. Late papers will not be accommodated. $5 per person.
MARCH 1990, VOLUME 37, NUMBER 3 297 N i
PENNSYLVANIA STATE UNIVERSITY
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1 - Nittany Lion Inn 2 - Conference Center P - Parking Meetings
Accommodations Food Service A block of rooms has been reserved at each of the follow The Nittany Lion Inn, adjacent to the Keller Conference ing hotels/motels. The American Mathematical Society Center, has a full service restaurant offering breakfast, is not responsible for rate changes or accommodations lunch, and dinner. Complete listings will be available at offered by hotels/motels. the meeting registration desk. Nittany Lion Inn North Atherton Street, Travel University Park, PA 16802 US Air I Allegheny Commuter Airlines serve the State Telephone: 814-231-7500 College area through the University Park Airport located five miles from campus. Limousine or taxi service is available for all flights. For reservations and information Single $58 Double $68 on US Air/ Allegheny Commuter, please call 814-238- Hampton Inn 8414 or 800-428-4253. By bus, Trailways and Greyhound 110 1 East College Avenue, Lines connections are available to and from State College. University Park, PA 16802 For Trailways information, please call 814-238-7362; for Telephone: 814-231-1590 Greyhound information, please call 814-237-5865. If traveling by car, University Park is readily accessible Single $46 Double $50 from both ends of the state via Interstate 80 (I-80). Sheraton/Days Inn Parking 240 South Street, Parking is available on campus for a fee of $2 on Monday University Park, PA 16802 through Friday. There is no parking fee on Saturday. Telephone: 814-238-8454 Parking permits will be available at the registration desk located in the Keller Conference Center. Single $53 Double $63
UNFOLDINGS AND BIFURCATIONS OF QUASI-PERIODIC TORI H. W. Broer, B. Huitema, F. Takens, and B. L. J. Braaksma (Memoirs oftheAMS, Number421)
In the theory of dynamical systems, the occurrence of equilibria and periodic motions, as well as their general persistence and stability properties, are now fairly well understood. Researchers also have some systematic insight into the role ofexternal parameters. This book aims to mimic this classical theory in the case of quasi-periodic motions. These motions are most familiar in the context, of the conservative dynamics of classical mechanics, but they also occur with dissipative dynamics-for example, quasi-periodic attractors play a role in the onset of turbulence. In the first part of the book, the authors present a general treatment of the use of external parameters in various contexts, employing notions such as integrability and transversality. The second part, dealing only with dissipative cases, studies bifurcations when the hyperbolicity is mildly violated. Readers will appreciate the way the book systematically ties together a number of cases fo quasi-periodicity and the resulting improvement of accuracy. In addition, a number of new applications are presented.
1980 Mathematics Subject Classifications: 58, 34 All prices subject to change. Shipment will be made by ISBN 0-8218-2483-X, LC 89-18093 surface. For air delivery add, 1st book $5, each additional ISSN 0065-9266 book $3, maximum $100. Prepayment required. Order from 188 pages (softcover), January 1990 American Mathematical Society, P.O. Box 1571, Annex Individual member $13, List price $22, Station, Providence, RI 02901-1571, or call toll free 800-321- Institutional member $18 4AMS (321-4267) in the U.S. and Canada to charge with To order, please specify MEM0/421NA VISA or MasterCard.
MARCH 1990, VOLUME 37, NUMBER 3 299 Program of the Sessions
The time limit for each contributed paper in the sessions is ten minutes. In the special sessions, the time limit varies from session to session and within sessions. To maintain the schedule, time limits will be strictly enforced. Abstracts of papers presented in the sessions at this meeting will be found in the April 1990 issue of Abstracts of papers presented to the American Mathematical Society, ordered according to the numbers in parentheses following the listings below. For papers with more than one author, an asterisk follows the name of the author who plans to present the paper at the meeting.
Saturday, April 7 Special Session on Recent Progress on Einstein Manifolds and Related Topics, I
Special Session on Classical 9:00 a.m.-10:50 a.m. Room 506, Keller Conference and Quantum Groups, I Center 9:00a.m. Compactness for families of constant mean curvature 9:00 a.m.-10:50 a.m. Room 501 , Keller Conference (9) surfaces. Preliminary report. Center Rob Kusner, University of Massachusetts, Amherst (857 -53-16) 9:00 a.m. Sequences of divided powers in coalgebras and Hopf 9:30 a.m. Which 2-tensors can be Ricci tensors? (The (1) algebras. (1 0) rotationally symmetric case). Earl J. Taft, Rutgers University, New Brunswick Jianguo Cao, Institute for Advanced Study (857-16-13) (857-53-45) 9:30a.m. Quantum GL(n) and q-5chur algebras. 10:00 a.m. A construction of scalar-flat Kahler surfaces. (2) Richard Dipper, University of Oklahoma (857-20-07) (11) Claude LeBrun, Institute for Advanced Study and 10:00 a.m. Integral and modular representations of q-Schur State University of New York, Stony Brook (3) algebras. Preliminary report. (857-53-47) Jie Du and Leonard Scott*, University of Virginia 10:30 a.m. The characterized standard sphere by the spectrum. (857-20-65) (12) Xingwang Xu*, University of Connecticut, Storrs, and 10:30 a.m. Symbols and modular forms. Paul C. Yang, University of Southern California (4) Alvany Rocha* and Carlos J. Moreno, Graduate ( 85 7-58-46) School and University Center, City University of New York (857-17-53) Special Session on Geometric Topology, I Special Session on Algebraic Topology, I 9:30 a.m.-10:50 a.m. Room 502, Keller Conference Center 9:00 a.m.-10:50 a.m. Room 507, Keller Conference Center 9:30 a.m. An extension of simple-homotopy theory. Preliminary (13) report. 9:00 a.m. Chern character for proper r-manifolds. Steven C. Ferry, State University of New York, (5) Hitoshi Moriyoshi, Pennsylvania State University, Binghamton (857-55-44) University Park (857-55-55) 10:00 a.m. Local properties of decomposition spaces. 9:30 a.m. Noncompact hyperbolic 3-orbifo/ds of small volume. (14) Steve Armentrout, Pennsylvania State University, (6) Colin Adams, Williams College (857-57-30) University Park (857-57-14) 10:00 a.m. Geometry of the space of knots. Preliminary report. 10:30 a.m. The relationship between the boundedly controlled K 1 (7) Jean-Luc Brylinski, Pennsylvania State University, (15) and Whitehead groups. University Park (857-57-17) Douglas R. Anderson, Syracuse University 10:30 a.m. Adams operations in Hochschild and cyclic homology (857-57-19) (8) and applications to the topology of free loop spaces. Preliminary report. Dan Burghelea*, Z. Fiedorowicz and W. Gajda, Ohio State University, Columbus (857-55-71)
300 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Program of the Sessions
3:45 p.m. Tangent bundles of reductive groups. Preliminary Session on Convergence Problems (25) report. and Differential Equations Ivan Mirkovic, University of Massachusetts, Amherst (857-22-43) 9:35 a.m.-10:45 a.m. Room 508, Keller Conference 4:15p.m. Cyclic homology of quantum groups. Center (26) Boris Tsygan* and Ping Feng, Harvard University (857-17-69) (Sponsored by Ranee Kathryn Brylinski) 9:35 a.m. Means and Taylor polynomials. 4:45 p.m. Hidden quantum group symmetries and integrable (16) Alan Horwitz, Pennsylvania State University, Media (27) perturbations of conformal field theories. (857-26-67) Nikolai Reshetikhin, Harvard University (857-17-68) 9:50 a.m. Comparison theorems for the v-zeroes of Legendre (Sponsored by Ranee Kathryn Brylinski) (17) functions p~n (zo) when -1 < z0 < 1. Frank E. Baginski, George Washington University (857-33-33) Special Session on Algebraic Topology, II 10:05 a.m. Sequences of quotients and homogeneous functions. (18) Alejandro Necochea*, University of Texas, Pan 2:45 p.m.-5:05 p.m. Room 507, Keller Conference American, and Larry F. Bennett, South Dakota State Center University (857-40-61) 10:20 a.m. A three point connection problem for a certain third 2:45 p.m. K. theory for bisimplicial algebras. (19) order differential equation. (28) Paul Baum* and Crichton Ogle, Pennsylvania State T. K. Puttaswamy, Ball State University (857-34-70) University, University Park (857-55-58) 10:35 a.m. Reflection and jump boundaries associated with the 3:15p.m. A pairing theorem for group cohomology. (20) process of capital accumulation. (29) Paul Baum and Crichton Ogle*, Pennsylvania State Guillermo Leon Gomez Martinez, University of University, University Park (857-55-59) Erlangen-Niirnberg, Federal Republic of Germany 3:45 p.m. Cohomology of finite simple groups. (857 -90-01) (30) Alejandro Adem*, Institute for Advanced Study, John Maginnis, University of Michigan, Ann Arbor, and R. J. Milgram, Stanford University (857-55-08) Invited Address 4:15p.m. Rational functions and configuration spaces. (31) Ralph L. Cohen, Stanford University, and Don H. 11:00 a.m.-12:00 noon Room 104, Keller Conference Shimamoto*, Swarthmore College (857-55-50) Center 4:45 p.m. Some features of the mod 2 cohomology ring of (32) BSpin(n) revealed by computer computations. (21) Rigidity for non-positively curved manifolds. Preliminary report. Lowell Edwin Jones, State University of New York, Jay A. Wood, Bowdoin College and Lehigh University Stony Brook (857 -18-39) (857-55-37)
Invited Address Special Session on Geometric Topology, II
1:30 p.m.-2:30 p.m. Room 1 04, Keller Conference 2:45 p.m.-4:05 p.m. Room 502, Keller Conference Center Center
(22) Einstein metrics on algebraic manifolds. 2:45p.m. Controlled topology and algebra over non-locally Gang Tian, Princeton University (857-53-31) (33) compact spaces. Preliminary report. Christopher W. Stark, University of Maryland, College Park and University of Florida (857-57-34) Special Session on Classical 3:15p.m. Continuous cohomology and real homotopy type II. and Quantum Groups, II (34) Edgar H. Brown, Brandeis University, and Robert H. Szczarba*, Yale University (857 -55-42) 2:45 p.m.-5:05 p.m. Room 501 , Keller Conference 3:45 p.m. Finitely generated module structures on the Center (35) Nii-K-theory of group rings. Frank Connolly* and Mario Da Silva, University of 2:45 p.m. Irreducible representations of quantum groups at roots Notre Dame (857-57-63) (23) of1. V. G. Kac, Massachusetts Institute of Technology (857 -17 -25) 3:15p.m. Twisted vertex representations of quantum affine (24) algebras. Naihuan Jing, Institute for Advanced Study (857 -17 -32)
MARCH 1990, VOLUME 37, NUMBER 3 301 Program of the Sessions
Saturday, April 7 (cont'd) Sunday, April 8
Special Session on Recent Progress on Einstein Special Session on Classical Manifolds and Related Topics, II and Quantum Groups, Ill
2:45 p.m.-5:05 p.m. Room 506, Keller Conference 8:30 a.m.-10:50 a.m. Room 501 , Keller Conference Center Center 2:45 p.m. An inequality between energy and intersection. 8:30 a.m. Compactifications of symmetric spaces and buildings (36) C. Croke*, University of Pennsylvania, and A. Fathi, (47) associated to classical groups. University of Florida (857-53-35) Paul Gerardin, Pennsylvania State University, 3:15p.m. The Ricci flow on compact 2-orbifolds with curvature University Park (857 -22-41) (37) negative somewhere. 9:00 a.m. Quantam deformation of Flaj manifolds. B. Chow•, Courant Institute of Mathematical (48) Jacob Towber, DePaul University (857-22-56) Sciences, New York University, and N. F. Wu, (Sponsored by J. Marshall Ash} University of California at San Diego, La Jolla 9:30 a.m. Sklyanin algebras. (857-58-40) (Sponsored by Gang Tian) (49) S. Paul Smith*, University of Washington, and J. T. 3:45 p.m. Isotopy irreducible Riemannian manifolds. Stafford, University of Michigan, Ann Arbor (38) Wolfgang Ziller•, University of Pennsylvania, and M. (857-16-06) Wang, McMaster University (857-53-49) 10:00 a.m. Deformation methods in quantum groups. 4:15p.m. Kahler-Einstein metrics of positive scalar curvature: (50) Murray Gerstenhaber• and Anthony Giaquinto, (39) Global algebra-geometric criteria for existence. University of Pennsylvania (857 -16-60) Alan M. Nadel, Massachusetts Institute of 10:30 a.m. Finite dimensional algebras and quantum groups. Technology (857-53-24) (51} Preliminary report. 4:45 p.m. Applications of Einstein metrics to moduli of Brian Parshall, University of Virginia (857-20-64) (40) Calabi-Yau manifolds. Andrey N. Todorov, Max-Planck-Institute fur Mathematik, Bulgaria (857-53-48) Special Session on Algebraic Topology, Ill
8:30 a.m.-10:50 a.m. Room 507, Keller Conference Session on Algebra, Geometry, and Homotopy Center 8:30a.m. Spine cobordism determines complex K-theory. 2:45 p.m.-4:10p.m. Room 508, Keller Conference (52) Preliminary report. Center Michael J. Hopkins, Massachusetts Institute of 2:45p.m. On characterizations of quasi-cyclic submodules. Technology, and Mark Hovey•, University of New (41) Johnny A. Johnson, University of Houston, University Haven (857-55-18) Park, and Monty B. Taylor•, University of Texas, Pan 9:00a.m. Splitting off H-spaces and Conner-Raymond splitting American (857 -13-62) (53) theorem. 3:00p.m. Paths of unimodular vectors. Giora Dula* and Daniel Gottlieb, Purdue University, (42) Edward K. Hinson, University of New Hampshire West Lafayette (857-55-57} (857-13-09) 9:30a.m. Periodic families and connective cobordism via the 3:15p.m. Coproduct decompositions of finitely generated (54) classical Adams spectral sequence. (43) subsemigroups of free semigroups. Mark Mahowald, Northwestern University, and Paul Tom Head, State University of New York, Binghamton Shick*, John Carroll University (857-55-51} (857-20-15) 10:00 a.m. Covering spaces as geometric models of cohomology 3:30p.m. Convexity preserving summability matrices. (55} operations. Preliminary report. (44) C. R. Selvaraj, Pennsylvania State University, Sharon Terrence P. Bisson•, Canisius College, and Andre (857-40-22) Joyal, Universite du Quebec, Montreal (857-55-29) 3:45p.m. Subvarieties of Severi varieties. Preliminary report. 10:30 a.m. h0-torsion in the cohomology of subalgebras of the (45) Robert Treger, Pennsylvania State University, (56) Steenrod algebra. Delaware County Campus (857-14-23) Kenneth Monks, Wilkes College (857-55-27) 4:00p.m. Basic dual homotopy invariants of Riemannian (46) foliations. Peter Y. Pang, National University of Singapore, Republic of Singapore (857-57-05)
302 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Program of the Sessions
4:15p.m. Good bases for G-modules. Special Session on Geometric Topology, Ill (65) Olivier Mathieu, Institute for Advanced Study (857-22-72) 9:30 a.m.-10:50 a.m. Room 502, Keller Conference Center Special Session on Algebraic Topology, IV 9:30 a.m. Closed incompressible surfaces of arbitrarily high (57) genus in the complements of certain star knots. Richard F. Gustafson, State University of New York, 2:45 p.m.-4:35 p.m. Room 507, Keller Conference College at Oneonta (857 -57-21) Center 10:00 a.m. Branched covers of nonpositively curved manifolds. 2:45p.m. On the self-homotopy equivalences of an infinite cell (58) Michael Davis* and Ruth Charney, Ohio State (66) complex. University, Columbus (857-57-10) Joseph Roitberg, Hunter College, City University of 10:30 a.m. A differential geometric characterization of symmetric New York (857-55-28) (59) spaces of higher rank. 3:15p.m. Rational homotopy types with cohomology of stunted Patrick Eberlein*, University of North Carolina, (67) complex projective space. Chapel Hill, and Jens Heber, Universitat of Augsburg, Gregory M. Lupton, Dartmouth College, and Ronald Federal Republic of Germany (857-53-20) N. Umble*, Millersville University of Pennsylvania (857-55-26)
3:45p.m. 2-Primary, v1-periodic homotopy of SU(n). Invited Address (68) Martin Bendersky, Hunter College, City University of New York (857-55-12) (Sponsored by Donald M. 11:00 a.m.- noon Room 1 04, Keller Conference Davis) Center 4:15 p.m. On splittings of the tangent bundles of 4-manifolds. (69) Duane Randall, Loyola University (857 -55-11) (60) On collisionless plasmas and the Vlasov-Maxwell equations. Robert T. Glassey, Indiana University, Bloomington Special Session on Geometric Topology, IV (857-35-03)
2:45 p.m.-4:05 p.m. Room 502, Keller Conference Invited Address Center 2:45 p.m. Group actions and cohomology of discrete groups. 1:30 p.m.-2:30 p.m. Room 1 04, Keller Conference (70) Alejandro Adem, Institute for Advanced Study Center (857-57-04) 3:15p.m. Examples of lack of rigidity in crystallographic groups. (61) Geometry and topology of manifolds curved from (71) Frank Connolly and Tadeusz Kozniewski*, below. University of Notre Dame (857-57-66) Karsten Grove, University of Maryland, College Park (857-53-38) 3:45p.m. Topological realization of the Dennis trace. (72) Ross Geoghegan, State University of New York, Binghamton (857-57-54)
Special Session on Classical W. Wistar Comfort and Quantum Groups, IV Associate Secretary Middletown, Connecticut 2:45 p.m.-4:35 p.m. Room 501 , Keller Conference Center
2:45 p.m. Decompositions of some Sn-modules arising in the (62) free Lie algebra. Sheila Sundaram, Universite du Quebec, Montreal (857-22-36) 3:15p.m. A Bernstein-Beilinson theorem for Uq(sl(2)). (63) Preliminary report. T. J. Hodges, University of Cincinnati (857-16-02) 3:45 p.m. Schubert calculus for generalized cohomology. (64) Paul Bressler, Purdue University, West Lafayette, and Sam Evens*, Rutgers University, New Brunswick (857-57-52)
MARCH 1990, VOLUME 37, NUMBER 3 303 Presenters of Papers
Numbers following the names indicate the speakers' positions on the program. • AMS Invited Lecturer * AMS Special Session Speaker
•Adams, C., 6 *Evens, S., 64 * Kusner, R., 9 *Shick, P., 54 * Adem, A., 30, 70 *Ferry, S. C., 13 *LeBrun, C., II * Shimamoto, D. H., 31 *Anderson, D. R., 15 Gomez Martinez, G. L., 20 *Mathieu, 0., 65 *Smith, S. P., 49 *Armentrout, S., 14 *Geoghegan, R., 72 * Mirkovic, 1., 25 *Stark, C. W., 33 Baginski, F. E., I 7 * Gerardin, P., 4 7 * Monks, K., 56 *Sundaram, S., 62 •Baum, P., 28 * Gerstenhaber, M., 50 * Moriyoshi, H., 5 * Szczarba, R. H., 34 * Bendersky, M., 68 • Glassey, R. T., 60 *Nadel, A. M., 39 *Taft, E. J., I *Bisson, T. P., 55 • Grove, K., 61 Necochea, A., 18 Taylor, M. B., 41 * Brylinski, J.-L., 7 *Gustafson, R. F., 57 *Ogle, C., 29 • Tian, G., 22 * Burghelea, D., 8 Head, T., 43 Pang, P. Y., 46 •Todorov, A. N., 40 •Cao, J., 10 Hinson, E. K., 42 *Parshall, B., 51 * Towber, J., 48 •Chow, B., 37 *Hodges, T. J., 63 Puttaswamy, T. K., 19 Treger, R., 45 *Connolly, F., 35 Horwitz, A., 16 *Randall, D., 69 * Tsygan, B., 26 * Croke, C., 36 *Hovey, M., 52 * Reshetikhin, N., 27 *Umble, R. N., 67 *Davis, M., 58 * Jing, N., 24 *Rocha, A., 4 *Wood, J. A., 32 * Dipper, R., 2 • Jones, L. E., 21 * Roitberg, J., 66 •Xu, X., 12 * Dula, G., 53 * Kac, V. G., 23 *Scott, L., 3 *Ziller, W., 38 *Eberlein, P., 59 * Koiniewski, T., 71 Selvaraj, C. R., 44
ACCESSIBLE CATEGORIES: THE FOUNDATIONS OF CATEGORICAL MODEL THEORY Michael Makkai and Robert Pare (Contemporary Mathematics, Volume 104) Intended for category theorists and logicians familiar with basic category theory, this book focuses on categorical model theory, which is concerned with the categories of models of infinitary first order theories, called accessible categories. The starting point is a characterization of accessible categories in terms of concepts familiar from Gabriel Ulmer's theory of locally presentable categories. Most of the work centers on various constructions (such as weighted bilimits and lax colimits), which, when performed on accessible categories, yield new accessible categories. These constructions are necessarily 2-categorical in nature; the authors cover some aspects of 2-category theory, in addition to some basic model theory, and some set theory. One of the main tools used in this study is the theory of mixed sketches, in which the authors specialize to give concrete results about model theory. Many examples illustrate the extent of applicability of these concepts. In particular, some applications to topos theory are given. Perhaps this book's most significant contribution is the way it sets model theory in categorical terms, opening the door for further work along these lines. Requiring a basic background in category theory, this book will provide readers with an understanding of model theory in categorical terms, familiarity with 2-categorical methods, and a useful tool for studying toposes and other categories.
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304 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Albuquerque, New Mexico University of New Mexico April19-21
Program
The eight-hundred-and-fifty-eighth meeting of the Amer Real algebraic geometry, MICHAEL A. BUCHNER, Uni ican Mathematical Society will be held at the Sheraton versity of New Mexico, and WorciECH KucHARZ, Uni Old Town Hotel in Albuquerque, New Mexico, on Thurs versity of Hawaii and University of New Mexico. day, April 19, Friday, April 20, and Saturday, April 21, Dynamical systems: low dimensional behavior in par 1990. This meeting is being held in cooperation with the tial differential equations, DAVID CAMPBELL, and JAMES Society for Industrial and Applied Mathematics (SIAM) M. HYMAN, Los Alamos National Laboratory. and being hosted by the University of New Mexico. Invariant imbedding and inverse problems, JAMES CORONES, Ames Laboratory, PAUL NELSON, Texas A&M, and DANIEL SETH, Ames Laboratory. Invited Addresses Differential geometry, HOWARD FEGAN and ALEXAN By invitation of the Far Western Section Program Com DER P. STONE, University of New Mexico. mittee, and in cooperation with SIAM, there will be six Mathematical biology, JAMES M. HYMAN, W. T. invited addresses. The speakers, their affiliations, and the KYNER, University of New Mexico, ANN STANLEY, Los titles of their talks are: Alamos National Laboratory, DEBORAH SuLSKY, Univer DAVID CAMPBELL, Los Alamos National Laboratory, sity of New Mexico, and CARLA WoFSY, University of Solitary waves and their interactions in non-integrable New Mexico. nonlinear partial differential equations, 11 :00 a.m. Satur day. PETER B. GILKEY, University of Oregon, Can one Contributed Papers hear the shape of a drum?, 11:30 a.m. Thursday There will also be a session for contributed ten-minute GERHARD KRISTENSSON, Lund University, Recent de papers. Late papers will not be accommodated. velopment in time domain inverse scattering theory using invariant imbedding techniques, 11:30 a.m. Friday. RoBERT M. MAY, Oxford University, Transmission Council dynamics of HIV/AIDS, 1:30 p.m. Saturday. The Council of the AMS will meet at 7:00 p.m. on ALAN C. NEWELL, University of Arizona, Convection Thursday, April 19, 1990, in the Fireplace Room at the patterns in large containers, 5:00 p.m. Thursday. Sheraton Old Town Hotel. MARC A. RIEFFEL, University of California, Berkeley, Quantum groups and operator algebras, 5:00p.m. Friday. Activities of Other Organizations The Great Plains Operator Theory Seminar is being held Special Sessions at the Sheraton Old Town Hotel, April 19-21, 1990. By invitation of the same committee, and in cooperation with SIAM, there will be seven special sessions of selected twenty-minute papers. The topics, and the names and Registration affiliations of the organizers, are as follows: The meeting registration desk is located in the lobby of Numerical solution of partial differential equations, the Sheraton Old Town Hotel. The meeting registration RICHARD C. ALLEN, Sandia National Laboratory, JOSE desk is open from 6:00 p.m. to 9:00 p.m. on Wednesday, CASTILLO, San Diego State University, and STANLY April18, and from 8:00a.m. to noon on Thursday, April STEINBERG, University of New Mexico. 19, Friday, April20, and Saturday, April21. Geometry and topology of moduli spaces, CHARLES The registration fee is $45, with a special $25 fee for P. BoYER, and BENJAMIN M. MANN, University of New graduate students and unemployed mathematicians, and Mexico. a one-day fee of $25.
MARCH 1990, VOLUME 37, NUMBER 3 305 Meetings
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306 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Meetings
Social Event Rio Grande Inn On Friday evening, April 20, there will be a reception 1015 Rio Grande Boulevard NW and a no-host bar at the New Mexico Museum of Albuquerque, NM 87104 Natural History. During the evening participants will Telephone: 505-843-9500 have exclusive access to most of the exhibits at this outstanding museum. Single $29 Double $32
Petition Table Food Service A petition table will be set up in the registration area. There are a number of restaurants on the square and in Additional information about petition tables can be the downtown area. Complete listings are available at the found in a box in the Louisville meeting announcement meeting registration desk. in the October 1989 issue of Notices. Travel David II Report The Albuquerque Airport is served by most airlines. Both The special presentation and discussion scheduled at the Sheraton Old Town Hotel and the Rio Grande Inn the reception Friday evening concerning the upcoming provide free airport shuttle service. The Albuquerque National Research Council David II Report has been City Bus (Sun-Tran) runs from the airport through the cancelled. downtown area at seven minutes after the hour, and at thirty-seven minutes after the hour. The Sun-Tran Bus number is #50. Participants may board the bus on the Accommodations west side of the airport on the lower level and the fare A block of rooms is being held at the Sheraton Old is sixty cents one-way. Cab service is also available for Town Hotel and at the Rio Grande Inn, which is approximately $7 one-way. within walking distance. Participants should make their own reservations directly with the hotels listed below and identify themselves as participants of the AMS Weather and Local Attractions and SIAM meeting in order to obtain the rates listed. April temperatures in Albuquerque are mild, although Participants must make reservations 45 days in advance participants are advised to bring a sweater or light jacket. of the meeting to be assured of the quoted rates. The Nearby ski areas may still be open at the time of the American Mathematical Society is not responsible for meeting. Old Town, in Albuquerque, has a historic plaza, rate changes or accommodations offered by hotels/motels Museum of Art, Museum of Natural History, and many in the following list. restaurants, shops, and galleries. Albuquerque is also home to the world's longest tramway, the Sandia Peak Sheraton Old Town Hotel Tramway. 800 Rio Grande Boulevard NW Albuquerque, NM 87104 Telephone: 505-843-6300 or 800-237-2133 Single or Double $53
MARCH 1990, VOLUME 37, NUMBER 3 307 Program of the Sessions
The time limit for each contributed paper in the sessions is ten minutes. In the special sessions, the time limit varies from session to session and within sessions. To maintain the schedule, time limits will be strictly enforced. Abstracts of papers presented in the sessions at this meeting will be found in the April 1990 issue of Abstracts of papers presented to the American Mathematical Society, ordered according to the numbers in parentheses following the listings below. For papers with more than one author, an asterisk follows the name of the author who plans to present the paper at the meeting.
9:30a.m. Invariant imbedding, layer-stripping, and impedance Thursday, April19 (7) imaging. Preliminary report. Margaret Cheney* and David Isaacson, Rensselaer Polytechnic Institute (858-35-13) AMS Special Session on 10:00 a.m. Exact and approximate solutions of the (Helmholtz) Real Algebraic Geometry, I (8) Weyl composition equation in direct and inverse scattering. Louis Fishman, Colorado School of Mines 8:30 a.m.-10:50 a.m. Potters Room, Sheraton Old (858-35-06) Town Hotel 1 0:30 a.m. Inverse problems in underwater acoustics. 8:30 a.m. Elliptic curves and real algebraic morphisms into (9) Robert P. Gilbert* and Y. Xu, University of Delaware (1) 2-spheres. (858-35-22) Wojciech Kucharz, University of Hawaii, Honolulu (858-14-91) 9:00 a.m. Some new results on the topology of nonsingular real AMS Invited Address (2) algebraic sets. Selman Akbulut*, Michigan State University, and 11:30 a.m.-12:20 p.m. Rio Grande Ballroom, Henry King, University of Maryland, College Park Sheraton Old Town Hotel (858-57-65) Can one hear the shape of drum? 9:30 a.m. Relative real holomorphy rings. (1 0) a Peter B. Gilkey, University of Oregon (858-58-11) (3) M. Buchner*, University of New Mexico, and W. Kucharz, University of Hawaii, Honolulu (858-14-48) 10:00 a.m. Real algebraic tranformation groups. (4) Karl Heinz Dovermann, University of Hawaii, AMS Special Session on Geometry Honolulu (858-57-49) and Topology of Moduli Spaces, I 10:30 a.m. Discussion 2:00 p.m.-5:00 p.m. Isleta Room, Sheraton Old Town Hotel AMS Special Session on Invariant 2:00 p.m. The topology of certain holomorphic mapping spaces. Embedding and Inverse Problems, I (11) Benjamin M. Mann*, University of New Mexico, and R. James Milgram, Stanford University (858-58-44) 8:30 a.m.-10:50 a.m. Weaver Room, Sheraton 2:30 p.m. On the structure of certain spaces of polynomials. Old Town Hotel (12) Preliminary report. Martin Guest, University of Rochester (858-55-35) 8:30 a.m. An electromagnetic inverse problem in medical 3:00 p.m. On some spaces of real algebraic cycles. Preliminary (5) science. (13) report. Richard A. Albanese* and John W. Penn, Radiation T. K. Lam, State University of New York, Stony Brook Sciences Division, Brooks AFB, Texas (858-35-10) (858-55-36) 9:00 a.m. The inverse scattering problem for hyperbolic systems 3:30 p.m. Rational functions, Cayley-Dickson algebras, and the (6) in semi-infinite media. (14) Whitehead product. Preliminary report. lsam S. Ayoubi, King Fahd University of Petroleum Fred Cohen, University of Rochester (858-55-66) and Minerals, Saudi Arabia (858-35-20) (Sponsored by Faruk F. Abi-Khuzam) 4:00 p.m. Discussion
308 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Program of the Sessions
4:30 p.m. Supraconvergent difference schemes for high AMS Special Session on Differential Geometry, I (25) performance computational problems. Andrew B. White, Jr., Los Alamos National 2:00 p.m.-5:00 p.m. Potters Room, Sheraton Old Laboratory (858-35-98) (Sponsored by Stanly L. Town Hotel Steinberg)
2:00 p.m. Finiteness of diffeomorphism types of isopectral (15) manifolds. AMS Invited Address Robert Brooks*, University of California, Los Angeles, Peter Perry, University of Kentucky, and Peter Petersen, V, University of California, Los 5:00 p.m.-5:50 p.m. Rio Grande Ballroom, Sheraton Angeles (858-58-18) Old Town Hotel 2:30 p.m. Vibrating fractal drums, the Weyi-Berry problem for (26) Convection patterns in large containers. ( 16) the eigenvalues of the Laplacian, and spectral Alan C. Newell, University of Arizona (858-99-95) zeta-functions. Preliminary report. Michel L. Lapidus, University of Georgia (858-58-33) 3:00 p.m. The spectrum of a surface of revolution. Preliminary AMS Council ( 17) report. Martin Engman, University of New Mexico 7:00p.m.- Fireplace Room, Sheraton (858-53-89) Old Town Hotel 3:30 p.m. The functional determinant and eta invariant in 3 and 4 (18) dimensions. Thomas P. Branson, University of Iowa (858-53-77) 4:00p.m. The isospectral problem on manifolds with boundary. (19) Matthew J. Gursky, California Institute of Technology Friday, April 20 (858-58-63) 4:30 p.m. Discussion AMS Special Session on Geometry and Topology of Moduli Spaces, II AMS Special Session on Numerical Solution of Partial Differential Equations, I 8:30 a.m.-10:50 a.m. Isleta Room, Sheraton Old Town Hotel
2:00 p.m.-5:00 p.m. Jemes Room, Sheraton Old 8:30 a.m. Morse theory and the hyperkahler geometry of k = 2 Town Hotel (27) instantons on 5 4. 2:00 p.m. Symmetric differencing of symmetric operators. Charles P. Boyer* and Benjamin M. Mann, University (20) Stanly Steinberg*, University of New Mexico, and of New Mexico (858-58-45) Patrick J. Roache, Ecodynamics Research 9:00 a.m. Monopoles, braid groups and the Dirac operator. Associates Inc., Albuquerque, New Mexico (28) Ralph L. Cohen*, Stanford University, and John (858-39-54) Jones, Mathematical Sciences Research Institute, 2:30p.m. High order finite volume approximations of differential Berkeley (858-55-56) (21) operators on nonuniform grids. 9:30 a.m. Metric properties of monopole moduli spaces. James M. Hyman* and Robert J. Knapp, Los Alamos (29) Preliminary report. National Laboratory (858-65-71) Jacques Hurtubise, McGill University (858-53-67) 3:00 p.m. On discretization errors in the numerical solution of 10:00 a.m. The moduli space of instantons. (22) POE's on generalized coordinate meshes. (30) Ralph L. Cohen, Stanford University, and John Richard G. Hindman, Iowa State University Jones*, Mathematical Sciences Research Institute, (858-35-83) (Sponsored by Stanly L. Steinberg) Berkeley (858-55-57) 3:30p.m. Multipoint constraints through projection operators 10:30 a.m. Discussion (23) with applications to the finite element method. Howard L. Schreyer, University of New Mexico (858-65-84) (Sponsored by Stanly L. Steinberg) AMS Special Session on 4:00 p.m. Conservative, staggered grid discretization for general Real Algebraic Geometry, II (24) curvilinear coordinates. Marcel Vinokur, Sterling Software, Palo Alto, 8:30 a.m.-10:50 a.m. Potters Room, Sheraton Old California (858-39-92) (Sponsored by Stanly L. Town Hotel Steinberg) 8:30a.m. Convex sets and metrics over non-archimedean (31) ordered fields. Robert 0. Robson, Oregon State University (858-46-81)
MARCH 1990, VOLUME 37, NUMBER 3 309 Program of the Sessions
9:30 a.m. A wave splitting approach to transient electromagnetic Friday, April 20 (cont'd) (40) scattering for the dispersive sphere. Preliminary report. Kevin Kreider, University of Akron (858-78-15} 9:00 a.m. Noncommutative real algebraic geometry. Preliminary (Sponsored by Subramaniya I. Hariharan) (32) report. 10:00 a.m. An optimization problem in electromagnetic wave Victoria Powers, Emory University (858-14-74) ( 41) propagation. 9:30 a.m. Separating ideals. Preliminary report. Robert Ochs*, University of Toledo, and Curtis (33) James Madden, Indiana University, South Bend Vogel, Montana State University (858-78-16} ( 858-14-69) 10:30 a.m. Inverse scattering for electromagnetically dispersive 10:00 a.m. Suprema of infima of rational functions. Preliminary (42) media. Preliminary report. (34) report. Thomas M. Roberts* and Mike Hobart, Ames Charles N. Delzell, Louisiana State University, Baton Laboratory, Ames, Iowa (858-78-31} (Sponsored by Rouge (858-14-80) Paul Nelson) 10:30 a.m. Discussion
AMS-SIAM Invited Address AMS Special Session on Dynamical Systems: Low Dimensional Behavior 11:30 a.m.-12:20 p.m. Rio Grande Ballroom, in Partial Differential Equations, I Sheraton Old Town Hotel ( 43} Recent development in time domain inverse scattering 8:30 a.m.-10:50 a.m. Jemes Room, Sheraton Old theory using invariant imbedding techniques. Town Hotel Gerhard Kristensson, Lund University, Sweden (858-78-61) (Sponsored by Paul Nelson) 8:30 a.m. Calculating stable and unstable manifolds. (35) Eric J. Kostelich*, Arizona State University, James A. Yorke and Zhiping You, University of Maryland, College Park (858-34-40) AMS Special Session on Geometry 9:00 a.m. Homoclinic chaos and vorticity explosions in and Topology of Moduli Spaces, Ill (36) Navier-Stokes flows. Basil Nicolaenko, Arizona State University 2:00 p.m.-4:50 p.m. Isleta Room, Sheraton Old (858-76-39} Town Hotel 9:30 a.m. Discussion 2:00 p.m. Vortices and stable bundles. (44) Steve Bradlow, University of California at San Diego, AMS Special Session on La Jolla (858-58-37) Mathematical Biology, I 2:30p.m. Real analytic structures on the moduli space of curves. (45} Michael Wolf, Rice University (858-58-46) 3:00p.m. Vortices on asymptotically Euclidean Riemann 8:30 a.m.-10:50 a.m. Sandia Room, Sheraton Old (46) surfaces. Town Hotel Yisong Yang, University of New Mexico (858-58-47} 8:30 a.m. Numerical methods for structured population models. 3:30 p.m. The geometry of complex superspaces. Preliminary (37) Deborah Sulsky, University of New Mexico ( 4 7) report. (858-92-94) D. Sundararaman, University of California at San Diego, La Jolla (858-58-90) 9:00 a.m. Discussion and Open Problems 4:00 p.m. Closed string field theory: Topology and convolution (48) algebra. Preliminary report. AMS Special Session on Invariant Jim Stasheff, University of North Carolina, Chapel Hill Embedding and Inverse Problems, II (858-55-58) 4:30 p.m. Discussion
8:30 a.m.-10:50 a.m. Weaver Room, Sheraton Old Town Hotel 8:30a.m. Tomography with diffusion. (38) F. Alberto Grunbaum, University of California, Berkeley (858-60-29) (Sponsored by Paul Nelson) 9:00 a.m. Wave propagation in gyrotropic media. (39) Anders Karlsson*, Henrik Otterheim, Stockholm, Sweden, and Gerhard Kristensson, Lund University, Sweden (858-35-30) (Sponsored by Paul Nelson)
310 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Program of the Sessions
AMS Special Session on AMS Special Session on Numerical Solution Differential Geometry, II of Partial Differential Equations, II
2:00 p.m.-5:00 p.m. Potters Room, Sheraton Old 2:00 p.m.-5:00 p.m. Jemes Room, Sheraton Old Town Hotel Town Hotel
2:00 p.m. Spectral invariants for the conformal Laplacian. 2:00 p.m. Multilevel adaptive methods for partial differential (49) Preliminary report. (58) equations. Paul Yang, University of Southern California Steve McCormick, University of Colorado, Denver (858-53-82) (858-65-85) (Sponsored by David E. Womble) 2:30 p.m. Hamilton-Jacobi distributions and the Lorentz force 2:30 p.m. A parallel time stepping algorithm for nonlinear (50) law. (59) equations. Geoffrey Martin, University of Toledo (858-53-09) David E. Womble* and Lorraine S. Baca, Sandia 3:00 p.m. An algorithm for exact linearization. Preliminary report. National Laboratories, Albuquerque, New Mexico (51) Robert B. Gardner*, University of North Carolina, (858-65-87) Chapel Hill, and William F. Shadwick, University of 3:00 p.m. Lattice gas methods for hydrodynamics. Waterloo (858-93-21) (60) Gary Doolen, Los Alamos National Laboratory 3:30 p.m. Local existence of multivalued solutions to simplectic (858-65-88) (Sponsored by David E. Womble) (52) Monge Ampere equations. 3:30p.m. Solution of PDEs on a hypercube: Algorithms and Marek Kossowski, University of South Carolina, (61) applications. Columbia (858-35-96) (Sponsored by Robert B. Robert E. Benner, Sandia National Laboratories, Gardner) Albuquerque, New Mexico (858-65-86) (Sponsored 4:00 p.m. Absolute equivalence of differential systems and by David E. Womble) (53) dynamic feedback linearization. Preliminary report. 4:00 p.m. Discussion William F. Shadwick, University of Waterloo (858-34-12) 4:30 p.m. Discussion AMS Invited Address
5:00 p.m.-5:50 p.m. Rio Grande Ballroom, Sheraton AMS Special Session on Old Town Hotel Mathematical Biology, II (62) Quantum groups and operator algebras. Marc A. Rieffel, University of California, Berkeley 2:00 p.m.-5:00 p.m. Sandia Room, Sheraton Old (858-46-28) Town Hotel
2:00p.m. Stochastic and deterministic models of HIV (54) transmission in IVDU populations. Michael Altmann*, Keith Willard, Denton Peterson Saturday, April 21 and Lai!l Gatewood, University of Minnesota, Minneapolis (858-92-73) 2:30p.m. Modeling early stages of HIV infection. AMS Special Session on Dynamical (55) Stephen J. Merrill, Marquette University (858-92-60) Systems: Low Dimensional Behavior (Sponsored by Walter T. Kyner) in Partial Differential Equations, II 3:00p.m. Modeling the effects of HIV on the human immune (56) system. Alan S. Perelson, Los Alamos National Laboratory 8:30 a.m.-10:50 a.m. Isleta Room, Sheraton Old (858-92-72) (Sponsored by James M. Hyman) Town Hotel 3:30 p.m. Functional differential equations in age-structured 8:30 a.m. Low dimensional dynamical approximations. (57) AIDS epidemic models. (63) Lawrence Sirovich, Brown University (858-76-38) Los Alamos National Laboratory, and Hisashi Jia Li*, 9:00 a.m. Dynamics of the nonlinear Schrodinger equation. of Leiden, The Netherlands lnaba, University (64) Preliminary report. (858-92-42) Stephen Wiggins*, California Institute of Technology 4:00 p.m. Discussion and Los Alamos National Laboratory, and David Mclaughlin, Princeton University (858-35-75) (Sponsored by Heinz-Otto Kreiss) 9:30 a.m. Discussion
MARCH 1990, VOLUME 37, NUMBER 3 311 Program of the Sessions
9:00 a.m. Wave splitting for some nonhyperbolic time-dependent Saturday, April 21 (cont'd) (74) POE's. Preliminary report. Curtis R. Vogel, Montana State University (858-35-05) AMS Special Session on 9:30a.m. Fast numerical solution of non-linear functional Differential Geometry, (75) differential equations pertaining to time domain inverse Ill scattering for a dissipative wave equation. David J.N. Wall, University of Canterbury, New 8:30 a.m.-10:50 a.m. Potters Room, Sheraton Old Zealand (858-65-14) (Sponsored by Kevin C. Town Hotel O'Meara) 10:00 a.m. Discussion 8:30 a.m. Non-existence of 4-dimensional almost Kaehler (65) manifolds of constant curvature. David E. Blair, Michigan State University (858-53-01) AMS Special Session on Numerical 9:00 a.m. Actions of loop groups on harmonic maps. Solution (66) Maarten Bergvelt, University of Georgia, and Martin of Partial Differential Equations, Ill Guest*, University of Rochester (858-53-34) 9:30 a.m. Volumes of foliations on spheres. Preliminary report. 8:30 a.m.-10:50 a.m. Jemes Room, Sheraton Old (67) David L. Johnson* and Penny Smith, Lehigh Town Hotel University (858-53-03) 8:30 a.m. Discrete variational grid generation. 10:00 a.m. On the number of minimal two-spheres of small area in (76) Jose E. Castillo, San Diego State University (68) manifolds with curvature bounded above. Preliminary (858-65-52) report. 9:00a.m. Parameter John Douglas Moore, University of California, Santa estimation for discrete variational grid Barbara (858-53-08) (77) generation. Daria F. Buonassisi* and Jose E. Castillo, San Diego 10:30 a.m. Morse theory on the spinor groups. Preliminary report. State University (858-65-50) (Sponsored by Stanly L. (69) Jay A. Wood, Bowdoin College and Lehigh University Steinberg) (858-57-79) 9:30a.m. Robust grid generation on surfaces of large curvature. (78) Patrick M. Knupp, Ecodynamics Research Associates, Inc., Albuquerque, New Mexico AMS Special Session on (858-76-17) Mathematical Biology, Ill 1 0:00 a.m. Existence and uniqueness of a class of elliptic (79) differential equations. 8:30 a.m.-10:50 a.m. Sandia Room, Sheraton Old Gordon Liao, University of Texas, Arlington Town Hotel (858-53-62) 10:30 a.m. Mathematical theory of harmonic grid generation. 8:30a.m. Population dynamics in a time-varying environment. (80) S. S. Sritharan, University of Southern California (70) Richard R. Vance, University of California, Los (858-35-53) Angeles (858-92-76) (Sponsored by Deborah L. Sulsky) 9:00 a.m. Dynamics of competing or cooperating species. AMS-SIAM Invited Address (71) Morris W. Hirsch, University of California, Berkeley (858-99-1 00) 9:30 a.m. Microbial competition in the gradostat. 11:00 a.m.-11:50 a.m. Rio Grande Ballroom, (72) Hal L. Smith, Arizona State University (858-99-99) Sheraton Old Town Hotel 10:00 a.m. Discussion (81) Solitary waves and their interactions in non-integrable nonlinear partial differential equations. David Campbell, Los Alamos National Laboratory AMS Special Session on Invariant (858-99-97) Embedding and Inverse Problems, Ill
8:30 a.m.-10:50 a.m. Weaver Room, Sheraton AMS-SIAM Invited Address Old Town Hotel 1:30 p.m.-2:20 p.m. Rio Grande Ballroom, Sheraton 8:30 a.m. Undetermined coefficient problems for quasilinear Old Town Hotel (73) parabolic equations. Michael Pilant and William Rundell*, Texas A &M (82) Transmission dynamics of HIV/AIDS. University, College Station (858-30-02) Robert M. May, University of Oxford, England (858-92-32)
312 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Program of the Sessions
3:00p.m. Surface grid generation and differential geometry. AMS Special Session on (92) Z. U. A. Warsi, Mississippi State University Mathematical Biology, IV (858-65-78) (Sponsored by Stanly L. Steinberg) 3:30p.m. The mixed finite element method. 2:00 p.m.-5:00 p.m. Sandia Room, Sheraton Old (93) Thomas H. Robey, University of New Mexico Town Hotel (858-35-55) 4:00p.m. Computation of invariant manifolds on multicomputers. 2:00p.m. Latin hypercubes, partial rank correlation coefficients (94) Jens Lorenz*, University of New Mexico, and Eric (83) and H IV epidemiology in intravenous drug-using Van de Velde, California Institute of Technology communities. (858-65-68) Sally Blower*, Imperial College, England, Hadi 4:30p.m. Adaptive grid generation from harmonic maps. Dowlatabadi, Rockefeller Foundation, Robert M. (95) Arkady S. Dvinsky, Creare Inc., Hanover, New May, Oxford University, England, and Roy Anderson, Hampshire (858-65-93) (Sponsored by Stanly L. Imperial College, England (858-92-43) (Sponsored by Steinberg) Walter T. Kyner) 5:00 p.m. Discussion 2:30p.m. Modeling HIV transmission and AIDS in the major (84) risk groups. Preliminary report. Herbert W. Hethcote, University of Iowa (858-92-41) AMS General Session 3:00p.m. Some worst case results for mixing models of AIDS. (85) Edward H. Kaplan, Yale University (858-92-64) (Sponsored by Stanly L. Steinberg) 2:30 p.m.-4:20 p.m. Isleta Room, Sheraton Old 3:30p.m. Modeling the spread of H IV in Africa. Town Hotel (86) E. Ann Stanley, Los Alamos National Laboratory 2:30p.m. Condition P for real analytic singular differential forms (858-92-70) (Sponsored by Walter T. Kyner) (96) in the plane. 4:00p.m. Liapunov functions for the stability of equilibria in a Abdelhamed Meziani, Florida International University (87) model of HIV spread. Preliminary report. (858-35-23) of John Jacquez and Carl P. Simon*, University 2:50p.m. Multipliers of Besov spaces on certain groups. Michigan, Ann Arbor (858-99-1 01) (97) Hitoshi Ombe, University of Puerto Rico, Rio Piedras 4:30 p.m. Discussion (858-43-24) 3:10p.m. Completion of a quasi local ring. Preliminary report. (98) J. H. Kim, East Carolina University (858-13-25) AMS Special Session on Invariant 3:30p.m. Differentiation formulas for generalized Wiener Embedding and Inverse Problems, IV (99) functionals with multiparameter time. Preliminary report. 2:00 p.m.-3:20 p.m. Weaver Room, Sheraton Old Mylan Redfern* and David E. Betounes, University of Town Hotel Southern Mississippi (858-60-26) 3:50p.m. Two magnetic monopole Julia sets. Preliminary report. 2:00 p.m. Invariant imbedding and inverse problem of reflection. (100) M. Temple-Raston, University of Arizona (858-70-27) (88) Alan P. Wang, Arizona State University (858-99-04) 4:10p.m. An optimal control problem in exterior hydrodynamics. (Sponsored by Cecilia Y. Wang) (101) S. S. Sritharan, University of Southern California 2:30 p.m. Wave splitting for a class of hyperbolic equations. (858-35-59) (89) Vaughan H. Weston, Purdue University, West Lafayette (858-35-07) Lance W. Small 3:00 p.m. Inverse problems and the optimization of kernels. AMS Associate Secretary (90) John D. Zahrt, Los Alamos National Laboratory La Jolla, California (858-45-19) (Sponsored by William A. Beyer)
AMS Special Session on Numerical Solution of Partial Differential Equations, IV
2:30 p.m.-5:30 p.m. Jemes Room, Sheraton Old Town Hotel
2:30p.m. Discrete variational grids and solution of elliptic partial (91) differential equations. Jose E. Castillo and Lynne A. Tablewski*, San Diego State University (858-65-51) (Sponsored by Stanly L. Steinberg)
MARCH 1990, VOLUME 37, NUMBER 3 313 Presenters of Papers
Numbers following the names indicate the speakers' positions on the program. • AMS Invited Lecturer * AMS Special Session Speaker o AMS-SIAM Invited Lecturer
* Akbulut, S., 2 *Gilbert, R. P., 9 *Lorenz, J., 94 *Smith, H. L., 72 *Albanese, R. A., 5 • Gilkey, P. B., 10 *Madden, J., 33 Sritharan, S. S., 101 *Altmann, M., 54 * Grunbaum, F. A., 38 * Mann, B. M., II * Sritharan, S. S., 80 * Ayoubi, I. S., 6 * Guest, M., 12, 66 *Martin, G., 50 *Stanley, E. A., 86 *Benner, R. E., 61 *Gursky, M. J., 19 o May, R. M., 82 * Stasheff, J., 48 *Blair, D. E., 65 * Hethcote, H. W., 84 *McCormick, S., 58 *Steinberg, S., 20 *Blower, S., 83 *Hindman, R. G., 22 *Merrill, S. J., 55 * Sulsky, D., 37 *Boyer, C. P., 27 *Hirsch, M. W., 71 Meziani, A., 96 * Sundararaman, D., 47 *Bradlow, S., 44 *Hurtubise, J., 29 *Moore, J.D., 68 * Tablewski, L. A., 91 *Branson, T. P., 18 •Hyman, J. M., 21 • Newell, A. C., 26 Temple-Raston, M., I 00 *Brooks, R., 15 *Johnson, D. L., 67 * Nicolaenko, B., 36 *Vance, R. R., 70 *Buchner, M., 3 •Jones, J., 30 •Ochs, R., 41 * Vinokur, M., 24 * Buonassisi, D. F., 77 *Kaplan, E. H., 85 Ombe, H., 97 *Vogel, C. R., 74 o Campbell, D., 81 *Karlsson, A., 39 * Perelson, A. S., 56 *Wall, D. J., 75 * Castillo, J. E., 7 6 Kim, J. H., 98 *Powers, V., 32 *Wang, A. P., 88 *Cheney, M., 7 *Knupp, P. M., 78 Redfern, M., 99 * Warsi, Z. U., 92 *Cohen, F., 14 * Kossowski, M., 52 • Rieffel, M. A., 62 *Weston, V. H., 89 * Cohen, R. L., 28 * Kostelich, E. J., 35 *Roberts, T. M., 42 *White, A. B., Jr., 25 *Delzell, C. N., 34 *Kreider, K., 40 *Robey, T. H., 93 *Wiggins, S., 64 *Doolen, G., 60 o Kristensson, G., 43 *Robson, R. 0., 31 *Wolf, M., 45 * Dovermann, K. H., 4 * Kucharz, W., I *Rundell, W., 73 *Womble, D. E., 59 * Dvinsky, A. S., 95 •Lam, T. K., 13 *Schreyer, H. L., 23 *Wood, J. A., 69 *Engman, M., 17 * Lapidus, M. L., 16 *Shadwick, W. F., 53 *Yang, P., 49 *Fishman, L., 8 * Li, J., 57 *Simon, C. P., 87 *Yang, Y., 46 *Gardner, R. B., 51 * Liao, G., 79 * Sirovich, L., 63 * Zahrt, J. D., 90
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 Representing some of the leading researchers in the field, the ISBN 0-8218-5102-0, LC 89-15023 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 will and its applications. The topics covered include elliptic be made by surface. For air delivery add, cohomology, stable and unstable homotopy theory, classifying 1st book $5, each additional book $3, maxi spaces, and equivariant homotopy and cohomology. mum $100. Prepayment required. Order from Geometric topics-such as knot theory, divisors and American Mathematical Society, P.O. Box configurations on surfaces, foliations, and Siegel spaces-are 1571, Annex Station, Providence, RI 02901- 1571, or call toll free 800-321-4AMS (321- also discussed. Researchers wishing to follow current trends 4267) in the U.S. and Canada to charge with in algebraic topology will find this book a valuable resource. VISA or MasterCard.
314 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Invited Speakers and Special Sessions
Invited Speakers Susan Jane Colley and Gary Kennedy, Algebraic geometry at AMS Meetings Zita M. Divis and David Terman, Dynamics ofbiological The individuals listed below have accepted invitations systems to address the Society at the times and places indicated. Richard K. Guy and Richard J. Nowakowski, Combina For some meetings, the list of speakers is incomplete. torial games S. K. Jain and S. Tariq Rizvi, Ring theory Columbus, OH, August 1990 Surinder K. Sehgal and Ronald Solomon, Group theory Joseph G. Conlon John Morgan Michael G. Crandall (Progress in October 1990 Meeting in Amherst, Massachusetts (Progress in Mathematics Lecture) Eastern Section Mathematics Lecture) Michael E. Taylor Associate Secretary: W. Wistar Comfort Saunders Mac Lane (AMS-MAA) Deadline for organizers: Expired Deadline for consideration: July 16, 1990 Colin C. Adams, Hyperbolic manifolds Denton, TX, November 1990 Melvyn S. Berger, Non-linear dynamics in mathematics Avner D. Ash John Leucke and science PeterS. Constantin Clarence W. Wilkerson Haskell Cohen, Semigroups James E. Humphreys and Ivan Mirkovic, Lie groups and algebraic groups Invited addresses at Sectional Meetings are selected Chjan C. Lim, Algebraic graph theory by the Section Program Committee, usually twelve to V. S. Prasad, Ergodic theory eighteen months in advance of a meeting. Members wishing to nominate candidates for invited addresses should send the relevant information to the Associate November 1990 Meeting in Denton, Texas Secretary for the Section who will forward it to the Central Section Associate Secretary: Andy Roy Magid Section Program Committee. Deadline for organizers: Expired Deadline for consideration: July 16, 1990 Organizers and Topics Avner D. Ash and MarkS. Reeder, Arithmetic groups of Special Sessions Elizabeth M. Bator, Russell G. Bilyeu and Paul W. Lewis, The list below contains all the information about Spe Banach spaces-functional analysis cial Sessions at meetings of the Society available at the Ilya Bakelman, Geometric inequalities and convex bodies time this issue of Notices went to the printer. The sec Scott T. Chapman and Nick H. Vaughan, Commutative tion below entitled Information for Organizers describes algebra the timetable for announcing the existence of Special Daniel S. Freed, Robert F. Williams and Michael Wolf, Sessions. Texas topology and geometry John Leucke and Robert Myers, Low dimensional topol ogy August 1990 Meeting in Columbus, Ohio Associate Secretary: W. Wistar Comfort Lisa Mantini and Roger C. Zierau, Representation theory Deadline for organizers: Expired of Lie groups Deadline for consideration: April 27, 1990 John W. Neuberger and Henry A. Warchall, Differential Eiichi Bannai, Thomas A. Dowling, Dijen Ray-Chaudhuri equations and Neil Robertson, Combinatorics Peter F. Stiller, Algebraic geometry
MARCH 1990, VOLUME 37, NUMBER 3 315 Invited Speakers and Special Sessions
January 1991 Meeting in San Francisco, California proposals to organize a Special Session may be submitted Associate Secretary: Andy Roy Magid to the Associate Secretary in charge of that meeting (who Deadline for organizers: April 16, 1990 is an ex-officio member of the committee and whose Deadline for consideration: September 19, 1990 address may be found below). These proposals must March 1991 Meeting in South Bend, Indiana be in the hands of the PCNM well in advance of the Central Section meeting and, in any case, at least nine months prior to Associate Secretary: Andy Roy Magid the meeting at which the Special Session is to be held in Deadline for organizers: June 16, 1990 order that the committee may consider all the proposals Deadline for consideration: To be announced for Special Sessions simultaneously. Proposals that are sent to the Providence office of the Society, to Notices, March 1991 Meeting in Tampa, Florida Southeastern Section or directed to anyone other than the Associate Secretary Associate Secretary: Joseph A. Cima will have to be forwarded and may not be received in Deadline for organizers: June 22, 1990 time to be considered for acceptance. Deadline for consideration: To be announced It should be noted that Special Sessions must be announced in Notices in such a timely fashion that any October 1991 Meeting in Fargo, North Dakota member of the Society who so wishes may submit an Central Section Associate Secretary: Andy Roy Magid abstract for consideration for presentation in the Special Deadline for organizers: January 25, 1991 Session before the deadline for such consideration. This Deadline for consideration: To be announced deadline is usually three weeks before the Deadline for Abstracts for the meeting in question. January 1992 Meeting in Baltimore, Maryland Special Sessions are very effective at Sectional Meet Associate Secretary: W. Wistar Comfort ings and can usually be accommodated. They are selected Deadline for organizers: April 8, 1991 by the Section Program Committee. The processing of Deadline for consideration: To be announced proposals for Special Sessions for Sectional Meetings January 1993 Meeting in San Antonio, Texas is handled by the Associate Secretary for the Section, Associate Secretary: Lance W. Small who then forwards the proposals to the Section Program Deadline for organizers: April 13, 1992 Committee, which makes the final selection of the pro Deadline for consideration: To be announced posals. Each Invited Speaker at a Sectional Meeting is invited to organize a Special Session. Just as for national January 1994 Meeting in Cincinnati, Ohio Associate Secretary: Joseph A. Cima meetings, no Special Session at a Sectional Meeting may Deadline for organizers: April 5, 1993 be approved so late that its announcement appears past Deadline for consideration: To be announced the deadline after which members can no longer send ab stracts for consideration for presentation in that Special Information for Organizers Session. Special Sessions at Annual and Summer Meetings are The Society reserves the right of first refusal for the held under the supervision of the Program Committee publication of proceedings of any Special Session. These for National Meetings (PCNM). They are administered proceedings appear in the book series Contemporary by the Associate Secretary in charge of that meeting Mathematics. with staff assistance from the Meetings and Editorial More precise details concerning proposals for and Departments in the Society office in Providence. organizing of Special Sessions may be found in the According to the "Rules for Special Sessions" of the "Rules for Special Sessions" or may be obtained from Society, Special Sessions are selected by the PCNM from any Associate Secretary. a list of proposed Special Sessions in essentially the same manner as Invited Speakers are selected. The number of Special Sessions at a Summer or Annual Meeting is limited. The algorithm that determines the number Proposals for Special Sessions to the of Special Sessions allowed at a given meeting, while Associate Secretaries simple, is not repeated here, but can be found in "Rules The programs of Sectional Meetings are arranged by the Associate for Special Sessions" on page 614 in the April 1988 issue Secretary for the section in question: of Notices. Far Western Section (Pacific and Mountain) Each Invited Speaker is invited to generate a Special Lance W. Small, Associate Secretary Session, either by personally organizing one or by having Department of Mathematics University of California, San Diego a Special Session organized by others. Proposals to La Jolla, CA 92093 organize a Special Session are sometimes requested e-mail: [email protected] either by the PCNM or by the Associate Secretary. Other (Telephone 619-534- 3590)
316 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Invited Speakers and Special Sessions
Central Section decreed that no paper, whether invited or contributed, Andy Roy Magid, Associate Secretary may be listed in the program of a meeting of the Society Department of Mathematics unless an abstract of the paper has been received in University of Oklahoma Providence prior to the deadline. 601 Elm PHSC 423 Norman, OK 73019 Electronic submission of abstracts is now available to e-mail: [email protected] those who use the TEX typesetting system. Requests to (Telephone 405-325-6 711) obtain the package of files may be sent electronically via Eastern Section the Internet to [email protected]. Requesting W. Wistar Comfort, Associate Secretary the files electronically will likely be the fastest and Department of Mathematics most convenient way, but users may also obtain the Wesleyan University package on IBM or Macintosh diskettes, available free Middletown, CT 06457 e-mail: [email protected] of charge by writing to: Electronic Abstracts, American (Telephone 203- 34 7-9411) Mathematical Society, Publications Division, P.O. Box Southeastern Section 6248, Providence, RI 02940, USA. When requesting Joseph A. Cima, Associate Secretary the Abstracts package, users should be sure to specify Department of Mathematics whether they want the plain TEX, AMS-TEX, or the University of North Carolina, Chapel Hill ~TEX package. Chapel Hill, NC 27599-3902 e-mail: [email protected] (Telephone 919-962- I 050) Number of Papers Presented As a general rule, members who anticipate organizing Special Joint Authorship Sessions at AMS meetings are advised to seek approval at least nine Although an individual may present only one ten-minute months prior to the scheduled date of the meeting. No Special Sessions contributed paper at a meeting, any combination of joint can be approved too late to provide adequate advance notice to members who wish to participate. authorship may be accepted, provided no individual speaks more than once. An author can speak by invitation in more than one Special Session at the same meeting. Information for Speakers An individual may contribute only one abstract by A great many of the papers presented in Special Sessions title in any one issue of Abstracts, but joint authors at meetings of the Society are invited papers, but any are treated as a separate category. Thus, in addition to member of the Society who wishes to do so may submit abstracts from two individual authors, one joint abstract an abstract for consideration for presentation in a Special by them may also be accepted for an issue. Session, provided it is received in Providence prior to the special early deadline announced above and in the Site Selection for Sectional Meetings announcements of the meeting at which the Special Sectional Meeting sites are recommended by the As Session has been scheduled. Contributors should know sociate Secretary for the Section and approved by the that there is a limitation in size of a single Special Committee of Associate Secretaries and Secretary. Rec Session, so that it is sometimes true that all places are ommendations are usually made eighteen to twenty-four filled by invitation. Papers not accepted for a Special months in advance. Host departments supply local in Session are considered as ten-minute contributed papers. formation, ten to twelve rooms with overhead projectors Abstracts of papers submitted for consideration for for contributed paper sessions and special sessions, an presentation at a Special Session must be received by auditorium with twin overhead projectors for invited the Providence office (Editorial Department, American addresses, and registration clerks. The Society partially Mathematical Society, P. 0. Box 6248, Providence, RI reimburses for the rental of facilities and equipment, and 02940) by the special deadline for Special Sessions, for staffing the registration desk. Most host departments which is usually three weeks earlier than the deadline for volunteer; to do so, or for more information, contact the contributed papers for the same meeting. The Council has Associate Secretary for the Section.
MARCH 1990, VOLUME 37, NUMBER 3 317 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 Ecole Polytechnique, Paris; CLAUDE GREENGARD, IBM Mathematics will be held June 18-29, 1990, at the T.J. Watson Research Center, co-chair; and ANTHONY University of Washington, Seattle. The seminar will LEONARD, California Institute of Technology. be sponsored jointly by the American Mathematical A brochure will be available from the AMS office Society and the Society for Industrial and Applied which will include information on accommodations and Mathematics (SIAM). It is anticipated that the seminar local information. Participants will be required to pay a will be supported by a grant from federal agencies. The $20 registration fee and a $25 social fee. proceedings of the seminar will be published by the AMS Those interested in attending the seminar should in the Lectures in Applied Mathematics series. send the following information to the Summer Seminar The subject of this seminar will be the study of Conference Coordinator, American Mathematical Soci vorticity-dominated fluid motion. Numerical techniques ety, P.O. Box 6248, Providence, RI 02940; by electronic and their applications will be discussed (in particu mail: [email protected]; or by FAX: 401-331- lar, there will be several talks about discrete vortex 3842 before March 23, 1990. methods). Applied mathematical analysis and laboratory 1. Full name; experiments will be additional lecture subjects. A com 2. Mailing address; bination of introductory exposition and recent research 3. Telephone number and area code for office and results will be presented in the lectures. A goal of the home. E-mail address (if applicable); seminar is to bring together researchers with different 4. Member of AMS or SIAM? Include customer code viewpoints in order to suggest new approaches and to if an AMS member; facilitate critical evaluations of existing techniques for 5. Anticipated arrival and departure dates; the study of vorticity-dominated flows. 6. Your scientific background relevant to the topic; A partial list of invited speakers includes J. BELL, 7. Financial assistance requested (estimate cost of Lawrence Livermore National Laboratories; T. BuTTKE, travel); Courant Institute of Mathematical Sciences, NYU; R. 8. Indicate if interested in attending if support is not CAFLISCH, University of California, Los Angeles; A. J. offered. Indicate if support is not required. CHORIN, University of California, Berkeley; W. DAHM, University of Michigan; J. FERZIGER, Stanford Univer Participants who wish to apply for a grant-in-aid sity; A. GHONIEM, Massachusetts Institute of Technology; should so indicate; however, funds available for the R. GLOWINSKY, University of Houston; W. HENSHAW, seminar are very limited and individuals who can obtain IBM T.J. Watson Research Center; H. HORNUNG, Cali support from other sources should do so. Graduate fornia Institute of Technology; T. Hou, Courant Institute students who have completed at least one year of graduate of Mathematical Sciences, NYU; S. HUBERSON, ONERA, school are encouraged to participate. France; A.K.M.F. HussAIN, University of Houston; R. Funds may also be available for foreign graduate stu KRAsNY, University of Michigan; J. LASHERAS, Univer dents under the Short Term Enrichment Program (STEP) sity of Southern California; A. MAJDA, Princeton Uni of the United States Information Agency (USIA). Stu versity; P. MARcus, University of California, Berkeley; S. dents must meet the following eligibility requirements: MAs-GALLIC, Ecole Polytechnique, France; E. MEIBURG, 1. must be enrolled in full-time graduate studies at a Brown University; J. NEu, University of California, U.S. institution of higher education; 2. are not receiving Berkeley; S. 0RSZAG, Princeton University; J. SETHIAN, any U.S. government funds for academic support; 3. are University of California, Berkeley; M. SHELLEY, Uni not on refugee, immigrant, or tourist visa status; and 4. versity of Chicago; and G. TRYGGVASON, University of have not been awarded STEP grants previously. Those Michigan. eligible should include the following information when The Organizing Committee consists of CHRISTO supplying the above eight items: 1. home country; 2. PHER R. ANDERSON, University of California, Los Ange student status; 3. name of institution enrolled; 4. name les, co-chair; STEPHEN CHILDREss, Courant Institute of of an official at the institution who can verify status and Mathematical Sciences, NYU; GEORGES-HENRI CoTTET, financial situation.
318 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 Monge-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-Kahler 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 8 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 ge pal bundle. When the bundle lies over a 4-dimensional ometry. 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 thought of as the central object of the whole subject. a 2-form, so that 2-forms can be symmetrized and
MARCH 1990, VOLUME 37, NUMBER 3 319 Summer Research Institute antisymmetrized relative to this operation. Out of this R. BOTT, N. HITCHIN, J. MILLSON, I. SINGER, M. STERN, rich geometric structure arises the possibility of proving C. TAUBES, A. WEINSTEIN; (week three) W. BALLMANN, profound differential topological results on 4-manifolds J. CHEEGER, P. EBERLEIN, T. FARRELL, D. GROMOLL, K. by geometric methods. The most spectacular of these is GROVE, P. PETERSEN, D. SULLIVAN. perhaps the existence of "exotic" (nonstandard) differen Accommodations will be available in the campus tiable structures on topological R4• residence halls for participants; cafeteria style meals There have also been revolutionary developments will be available. All facilities will be accessible to the in Riemannian geometry outside the partial differential handicapped. equations methods. New concepts and methods involving Information on housing, dining, travel and the local the limiting behavior of metrics and the structure of the area will be sent to invited participants in the spring. space of Riemannian manifolds as a whole have given Each participant will pay a registration fee and a social new life to manifold geometry. Highlights include: the fee to cover the costs of social events scheduled during characterization of almost flat manifolds; the bounds on the institute. the Betti numbers of manifolds of nonnegative curva Those interested in receiving an invitation to partici ture; finiteness and convergence theorems for manifolds pate in the institute should send the following informa satisfying curvature bounds; and a comprehensive theory tion to the Summer Institute Conference Coordinator, of manifolds of negative curvature. American Mathematical Society, Post Office Box 6248, The general intention for the I990 Summer Insti Providence, RI 02940, prior to April 1, 1990 or through tute is to cover not only developments in differential electronic mail: [email protected], or by FAX: geometry itself, but also related topics in other parts 40 I-33I-3842. of mathematics and in physics. The planned format Please type or print the following: is to have a number of one hour survey lectures in I. Full name; the morning sessions offering more broadly sketched 2. Mailing address; viewpoints, followed in the afternoons by shorter, more 3. Telephone number and area code for office and specialized seminar lectures in parallel sessions. For orga home; nizational purposes the subject will be divided into eight 4. Which week or weeks you wish to attend; subdivisions: 1. Riemannian geometry; 2. Minimal sub 5. Your scientific background relevant to the institute manifolds; 3. Complex geometry and L2 cohomology; 4. topic; General theory of partial differential equations on mani 6. Financial assistance requested; folds: harmonic functions and mappings, Mange-Ampere 7. Indicate if interested in attending if support is not equation, differential systems, and isometric embedding; offered. Indicate if support is not required. 5. Eigenvalues, heat flow, and index theory; 6. Gauge 8. If member of AMS, give AMS member code. theory and geometry in mathematical physics; 7. Groups Funds may also be available for foreign graduate stu and manifolds, and dynamical systems; 8. Symplectic dents under the Short Term Enrichment Program (STEP) geometry. of the United States Information Agency (USIA). Stu While it is anticipated that seminar activity on all dents must meet the following eligibility requirements: these topics will continue throughout the three weeks I. must be enrolled in full-time graduate studies at a of the institute, each week will have a different specific U.S. institution of higher education; 2. are not receiving emphasis on two or more of the eight topics. A tentative any U.S. government funds for academic support; 3. are list of the topics to be addressed follows. not on refugee, immigrant, or tourist visa status; and 4. Week One: July 8 - 14: Minimal submanifolds; general have not been awarded STEP grants previously. Those theory of partial differential equations on manifolds; eligible should include the following information when eigenvalues, heat flow and index theory. supplying the above eight items: I. home country; 2. Week Two: July 15- 21: Gauge theory and geometry student status; 3. name of institution enrolled; 4. name in mathematical physics; symplectic geometry; complex of an official at the institution who can verify status and geometry and L2 cohomology. financial situation. Week Three: July 22 - 28: Riemannian geometry; Requests for invitations will be forwarded to the Or groups and manifolds, and dynamical systems. ganizing Committee for consideration up to the deadline A partial list of survey lecturers includes: (week one) of April 1, and applicants selected will receive formal S. S. CHERN, Z. GAO, R. HAMILTON, J. JosT, P. LI, R. invitations and notification of financial assistance begin SCHOEN, W. WEEKS, H. WENTE; (week two) J. BISMUT, ning in mid-May.
320 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Symposium on Some Mathematical Questions in Biology Neural Networks Vancouver, Canada, August 2-3
The twenty-fourth annual Symposium on Some Mathe Program matical Questions in Biology on Neural networks will be held on Thursday and Friday, August 2-3, 1990, during Thursday, August 2, 9:30 a.m. the Congress of the International Union for Pure and Chairman: Robert Miura, University of British Columbia Applied Biophysics (IUPAB), July 29-August 3, 1990. The symposium is sponsored by the American Mathe Neurodynamics. JACK D. CowAN, University of matical Society, the Society for Industrial and Applied Chicago Mathematics (SIAM), and the Society for Mathematical Learning, networks, and approximation theory. T. A. Biology (SMB). Poamo, Massachusetts Institute of Technology Neural networks, information theory and perception, The AMS-SIAM-SMB Committee on Mathematics in in animals and machines. RALPH LINSKER, IBM T. J. the Life Sciences serves as the Organizing Committee Watson Research Center for the symposium. The committee consisted of Jack D. Cowan (organizer), Michael C. Mackey, Marc Mangel, Hans G. Othmer, Richard E. Plant (chairman), and John Friday, August 3, 9:30 a.m. Rinzel. Chairman: John Rinzel, National Institutes of Health The theme of the symposium is Neural networks. Learning and generalization in multi-layered neural networks: A statistical analysis. D. RUMELHART, Stanford There will be two morning sessions on Thursday and University Friday, August 2 and 3, each including three one-hour Growing and pruning neural networks: relation to sta lectures. tistical mechanics. ALAN LAPEDES, Los Alamos National For further information, contact the Symposium Con Laboratory ference Coordinator, AMS, P.O. Box 6248, Providence, Perspectives in computational neurobiology. TERRENe. RI 02940 or by electronic mail: [email protected]. J. SEJNOWSKI, Salk Institute
Joint Summer Research Conference in the Mathematical Sciences University of Massachusetts at Amherst June 7-13, 1990 Inverse scattering and applications In previous issues of the Notices, the title of this conference was given incorrectly as Inverse scattering on the line. The correct title is Inverse scattering and applications. There has been much progress recently on inverse scattering theory in one and two dimensions. This conference will cover recent developments in the field, including inverse scattering theory on the line, Riemann-Hilbert problems, and inverse monodromy problems. Multidimensional problems will be covered, using the so-called 8 methods. Applications to the Davey-Stewartson II and KP II equations will be treated. Higher dimensional problems will also be discussed, and one day will be spent on applications of inverse scattering theory and inverse monodromy theory to problems in statistical mechanics. Members of the Organizing Committee: RoNALD R. CmFMAN (Yale University), CRAIG A. TRACY (University of California, Davis) and STEPHANOS VENAKIDES (Duke University). The deadline for receipt of applications for this conference has been extended to March 23, 1990. For more information on the conferences, please refer to the 1989 October and November issues of the Notices or contact the Summer Research Coordinator, Meetings Department, American Mathematical Society, Post Office Box 6248, Providence, RI 02940 or by E-Mail: [email protected] on the Internet.
MARCH 1990, VOLUME 37, NUMBER 3 321 Call For Topics For 1992 Conferences
Suggestions are invited from mathematicians, either 1992 AMS Symposium in Pure Mathematics singly or in groups, for topics of the various confer The symposium in pure mathematics has traditionally ences that will be organized by the Society in 1992. been conducted in the spring of even-numbered years in The deadlines for receipt of these suggestions, as well conjunction with a sectional meeting. The symposium as some relevant information about each of the con can be held independently of a sectional meeting and ferences, are given below. An application form to be serves to honor great accomplishments in mathematics. used when submitting suggested topic(s) for any of these Proceedings are normally published by the Society as conferences (except the Short Course Series) may be ob volumes in the series Proceedings of Symposia in Pure tained by writing to the Meetings Department, American Mathematics. Mathematical Society, P.O. Box 6248, Providence, RI Topics in recent years have been: 02940, or telephoning 401-455-4146, or sending E-mail 1984-Pseudodifferential operators and Fourier integral to [email protected]. operators with applications to partial differential equa Individuals willing to serve as organizers should tions, organized by FRAN<;Ois TREVES of Rutgers Univer be aware that the professional meetings staff in the sity Society's Providence office will provide full support 1987- The mathematical heritage of Herman Weyl, or and assistance before, during, and after each of these ganized by R. 0. WELLS, JR. of Rice University. conferences. Organizers should also note that for all 1989- Complex geometry and Lie theory, organized by conferences, except Summer Research Conferences, it is JAMES CARLSON and C. HERBERT CLEMENS, University required that the proceedings be published by the Society, of Utah. and that proceedings of Summer Research Conferences Deadline For Suggestions: September 1, 1990 are frequently published. A member of the Organizing Committee must be willing to serve as editor of the proceedings. All suggestions must include ( 1) the names and af 1992 AMS Summer Institute filiations of proposed members and the chairman of Summer institutes are intended to provide an under the Organizing Committee; (2) a one- to two-page de standable presentation of the state of the art in an active scription addressing the focus of the topic including the field of research in pure mathematics and usually extend importance and timeliness of the topic, and estimated over a three-week period. Dates for a summer institute attendance; (3) a list of the recent conferences in the must not overlap those of the Society's summer meeting, same or closely related areas; (4) a tentative list of names which at the time of this printing have not yet been and affiliations of the proposed principal speakers; and determined. There should be a period of at least one (5) a list of likely candidates who would be invited to week between them. Proceedings are published by the participate and their current affiliations. Any suggestions Society as volumes in the series Proceedings ofSymposia as to sites and dates should be made as early as possible in Pure Mathematics. in order to allow adequate time for planning. However, Current and recent topics: proposers of conferences should know that, by action of 1988- Operator theory/Operator algebras and applica the AMS Board of Trustees, the Meetings Department tions, organized by WILLIAM B. ARVESON of University of the Society is responsible for the final selection of of California, Berkeley, and RONALD G. DOUGLAS of the site for each conference and for all negotiations with State University of New York at Stony Brook. the host institution. Individuals submitting suggestions 1989-Several complex variables and complex geome for the conferences listed below are requested to recom try, organized by STEVEN G. KRANTZ of Washington mend sites or geographic areas which would assist the University. Meetings Department in their search for an appropriate 1990-Differential geometry, organized by RoBERT E. site. In the case of Joint Summer Research Conferences GREENE of University of California, Los Angeles, and in the Mathematical Sciences, a one-, two-, or three-week SHING-TUNG YAU of Harvard University. conference may be proposed. Deadline For Suggestions: September 1, 1990
322 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Call for Topics
1992 AMS-SIAM-SMB Symposium 1992 AMS-IMS-SIAM Joint Summer Some Mathematical Questions in Biology Research Conferences in the This one-day symposium, sponsored jointly by the AMS, Mathematical Sciences the Society for Industrial and Applied Mathematics, and These conferences, jointly sponsored by the AMS, the the Society for Mathematical Biology, is usually held Institute for Mathematical Statistics, and the Society in conjunction with the annual meeting of a biological for Industrial and Applied Mathematics, are similar in society closely associated with the topic. Papers from the structure to those held at Oberwolfach and represent symposia are published by the AMS as volumes in the diverse areas of mathematical activity, with emphasis on series Lectures on Mathematics in the Life Sciences. areas currently especially active. Careful attention is paid Current and recent topics: to subjects in which there is important interdisciplinary 1987 -Models in population biology, organized by ALAN activity at present. Topics for the seventh series of one HASTINGS of the University of California, Davis. week conferences, being held in 1990, are: Probability 1988-Dynamics of excitable media, organized by HANS models and statistical analysis for ranking data; Inverse G. OTHMER of the University of Utah. scattering on the line; Deformation theory of algebras 1989-Sex allocation and sex change: Experiments and and quantization with applications to physics; Strategies models, organized by MARC MANGEL of the University for sequential search and selection in real time; Schottky of California, Davis. Problems; and Logic, local fields, and subanalytic sets. 1990-Neural Networks, organized by JACK D. CowAN If proceedings are published by the AMS, they will of the University of Chicago. appear as volumes in the series Contemporary Mathe Deadline For Suggestions: September 1, 1990 matics. Deadline For Suggestions: February 1, 1991
Call for Topics for 1992 AMS Short Course Series 1992 AMS-SIAM Summer Seminar The AMS short courses consist of a series of introductory The goal of the summer seminar, sponsored jointly by survey lectures and discussions ordinarily extending over the AMS and the Society for Industrial and Applied a period of one-and-one-half days starting immediately Mathematics, is to provide an environment and program prior to the Joint Mathematics Meetings held in January in applied mathematics in which experts can exchange and August each year. Each theme is a specific area of the latest ideas and newcomers can learn about the field. applied mathematics or mathematics used in the study Proceedings are published by the AMS as volumes in the of a specific subject or collection of problems in one of series Lectures in Applied Mathematics. the physical, biological, or social sciences, technology, or Current and recent topics: business. 1987-Computational Aspects of VLSI Design with an Current and recent topics: Emphasis on Semiconductor Device Simulation, orga Combinatorial games (August 1990), Mathematical nized by RANDOLPH BANK of the University of Califor questions in robotics (January 1990), Cryptology and nia, San Diego. computational number theory (August 1989), Matrix the 1988- Computational solution of nonlinear systems of ory and applications (January 1989), Chaos and fractals equations, organized by EuGENE ALLGOWER of Colorado (August 1988), Computational Complexity Theory (Jan State University. uary 1988). Proceedings are published by the Society 1989- The mathematics of random media, organized as volumes in the series Proceedings of Symposia in by WERNER KoHLER of Virginia Polytechnic Institute Applied Mathematics, with the approval of the Editorial and BENJAMIN WHITE of Exxon Research & Engineering Committee. Company. Deadline for Suggestions: Suggestions for the January 1990- Vortex dynamics and vortex methods, organized 1992 course should be submitted by July 1, 1990; sug by CLAUDE GREENGARD of IBM T. J. Watson Research gestions for the August 1992 course should be submitted Center and CHRISTOPHER R. ANDERSON of University of by December 1, 1990. California, Los Angeles. Submit suggestions to: James W. Maxwell, AMS, P.O. Deadline For Suggestions: September 1, 1990 Box 6248, Providence, RI 02940.
MARCH 1990, VOLUME 37, NUMBER 3 323 Mathematical Sciences P.A. Griffiths, M. Gromov, N. Ivanov, S. Klainerman, J.J. Kohn, D. Laksov, Meetings and Conferences Le Diing Trang, S. Lojasiewicz, B. Malgrange, P. Milman, S. Mizohata, R. Narasimhan, L. Nirenberg, F. Oort, M. Seppala, M. Shiota, M. Schneider, M. Spivakovsky, W.F. Stoll, G. Van der Geer, S.S.T. Yau, S.T. Yau. INFORMATION: Semestre Andreotti - M. Galbiati, Dipartimento di Matem atica- Universita di Pisa, Via Buonar roti,2 56127 Pisa - Italy; email: [email protected].
THIS SECTION contains announcements of meetings and conferences of interest to 1990. IMACS International Workshop some segment of the mathematical public, including ad hoc, local, or regional meetings, on Massively Parallel Methods in Com and meetings or symposia devoted to specialized topics, as well as announcements putational Physics, Boulder, Colorado. of regularly scheduled meetings of national or international mathematical organizations. (Sep. 1989, p. 914) (Information on meetings of the Society, and on meetings sponsored by the Society, will IMACS Conference on Computer be found inside the front cover.) 1990. AN ANNOUNCEMENT will be published in Notices if it contains a call for papers, Aided Design, Yugoslavia. (Sep. 1989, and specifies the place, date, subject (when applicable), and the speakers; a second p. 914) full announcement will be published only if there are changes or necessary additional 1990. CWI-IMACS Symposia on Parallel information. Once an announcement has appeared, the event will be briefly noted in each Scientific Computing, Amsterdam, The issue until it has been held and a reference will be given in parentheses to the month, Netherlands. (Feb. 1990, p. 216) in which the complete information appeared. Asterisks (*) year, and page of the issue 1990-1991. Academic Year Devoted to mark those announcements containing new or revised information. IN GENERAL, announcements of meetings and conferences held in North America carry Operator Theory and Complex Analysis, only date, title of meeting, place of meeting, names of speakers (or sometimes a general Mittag-Leffler Institute, Djursholm, Swe statement on the program), deadlines for abstracts or contributed papers, and source den. (Dec. 1989, p. 1432) of further information. Meetings held outside the North American area may carry more detailed information. In any case, if there is any application deadline with respect to participation in the meeting, this fact should be noted. All communications on meetings and conferences in the mathematical sciences should be sent to the Editor of Notices, March 1990 care of the American Mathematical Society in Providence. * 19-23. DIMACS Workshop: Arrange DEADLINES for entries in this section are listed on the inside front cover of each issue. In ments, Center for Discrete Mathematics of meetings are urged order to allow participants to arrange their travel plans, organizers and Theoretical Computer Science, New to submit information for these listings early enough to allow them to appear in more than one issue of Notices prior to the meeting in question. To achieve this, listings should be Brunswick, NJ. received in Providence SIX MONTHS prior to the scheduled date of the meeting. PROGRAM: This is the fourth work EFFECTIVE with the 1990 volume of Notices, the complete list of Mathematical Sciences shop in the DIMACS Special Year on Meetings and Conferences will be published only in the September issue. In all other Discrete and Computational Geome for the twelve-month period following the month issues, only meetings and conferences try. The plan is to have a small num of that issue will appear. As new information is received for meetings and conferences that will occur later than the twelve-month period, it will be announced at the end of the ber of invited and contributed talks, listing in the next possible issue. That information will not be repeated until the date of in order to encourage more direct the meeting or conference falls within the twelve-month period. interaction among the participants. ORGANIZERS: R. Pollack, W. Steiger. INVITED SPEAKERs: A. Bjomer, Royal 1989-1990. Academic Year Devoted to PROGRAM: The Dept. of Math. of the Institute of Technology, Sweden; H. Hyperbolic Geometry and Quasiconformal Univ. of Pisa and the Scuola Nor Edelsbrunner, Univ. of Illinois; J.E. Mappings, Mittag-Leffler Institute, Djur male Superiore will organize in the Goodman, City Univ. of NY; B. sholm, Sweden. (Dec. 1988, p. 1584) spring term 1990 a special semester Griinbaum, Univ. of Washington; N. Mnev, Leningrad State Univ.; P. Or 1989-1990. Special Year in Geometry, to honour the memory of Aldo An dreotti. The semester will be mainly lik, Univ. of Wisconsin; J. Pach, University of Maryland, College Park, New York Univ.; M. Sharir, Tel Aviv MD. (Dec. 1989, p. 1432) dedicated to algebraic geometry, com plex analysis, analytic geometry and Univ.; P. Shor, AT&T Bell Labs. partial differential equations. INFORMATION: DIMACS, Hill Center, INVITED SPEAKERs: W. Barth, A. Beau Busch Campus, Rutgers Univ., P.O. *Spring Term 1990. Aldo Andreotti Spe ville, E. Bierstone, J.E. Bjork, E. Box 1179, Piscataway, NJ 08855; 201- cial Semester in Pisa, Pisa, Italy. Bombieri, F. Camapana, A. Douady, 932-5928; [email protected]. H. D'Souza, T. Frankel, H. Grauert, * 28-30. Sixth British Colloquium for
324 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Meetings and Conferences
Theoretical Computer Science, Univ. of 1989, p. 766) to coincide with W. Feit's arrival for Manchester, Manchester, England. l-14. NATO Advanced Study Institute a two month visit. The aim of the symposium will be to survey what has PROGRAM: The colloquium aims to on "Generators and Relations in Groups and Geometries", Castelvecchio Pascoli been achieved and where future work provide a forum for theoreticians should be directed on the Inverse to learn of new developments in (Lucca), Italy. (Sep. 1989, p. 916) 3-4. Mathematics in a Changing Cul Galois Problem. areas including logic and semantics INVITED SPEAKERS: W. Feit, B.H. of programs, formal methods, term ture, Glasgow College, Glasgow, Scot land. (Jan. 1990, p. 54) Matzat, G. Malle, J.-P. Serre, J.G. rewriting, specification and verifica Thompson, L.L. Scott, J.A. Green. tion, logic and functional program 3-5. Forty-second British Mathematical INFORMATION: M.J. Collins, Mathe ming, data structures, algorithms and Colloquium, University of East Anglia, matical Institute, Oxford Univ., 24-29 complexity, computational algebra, Norwich, Norfolk, England. (Jan. 1990, St. Giles', Oxford, OXl 3LB. cryptography, parallel computation p. 54) and models of concurrency, formal 4-7. Symposium on Distributions with 8-12. Gamm-Jahrestagung, Hannover, languages and type theories, and arti Given Marginals (In Memory of Giuseppe Federal Republic of Germany. (Jan. 1990, ficial intelligence. Pompilj), Rome, Italy. (Oct. 1989, p. 1095) p. 54) ORGANIZING COMMITTEE: J. Tucker, 5-7. Twenty-fourth Annual Spring Topol 8-14. Arbeitsgemeinschaft Mit Aktuellem Swansea; M. Jerrum, Edinburgh; J. ogy Conference, Southwest Texas State Thema (wird in den Mitteilungen der Shawe-Taylor, R.H.B.N.C.; D. Ryde Univ., San Marcos, TX. (Nov. 1989, DMV Heft 1/1990 bekanntgegeben), Ober heard, Manchester; P. Dunne, Liv p. 1249) wolfach, Federal Republic of Germany. erpool; M. Paterson, Warwick; B. Conference on Algebraic K-tbeory (Jul./ Aug. 1989, p. 766) Thompson, Swansea; A. Gibbons, War 5-8. Algebraic Number Theory, Johns 9-13. Fifth Workshop on Mathemati wick; H. Simmons, Aberdeen. and Univ., Baltimore, MD. (Jan. cal Aspects of Computer Science, Miigde INFORMATION: BCTCS6, Dept. of Hopkins sprung, German Democratic Republic. Univ. of Manchester, 1990, p. 54) Comp. Sci., (Nov. 1989, p. 1249) Manchester M 13 9L, U.K. email: 7-8. Eastern Section Meeting of the JANET: [email protected]; AMS, Pennsylvania State University, Uni 15-21. Mathematical Concepts of De BITNET: [email protected]. uk; versity Park, PA. (Note change in date pendable Systems, Oberwolfach, Federal ARPA: [email protected]. uk from Oct. 1989, p. I 095) Republic of Germany. (Jul./ Aug. 1989, p. 766) or bctcs%cs.man.ac.uk@ INFORMATION: W. Drady, AMS, P.O. nsfnet-relay .ac. uk. Box 6248, Providence, RI 02940. 16-20. Using Algebraic Processors in Dynamical Systems, University of Min * 30-31. Sixth Pacific Coast Gravity Meet- 7-8. 1990 Association for Symbolic nesota, Minneapolis, MN. (Feb. 1990, ing, Univ. of Oregon, Eugene, OR. Logic Spring Meeting (in conjunction p. 217) INFORMATION: T. Dray with a Spring meeting of the AMS and 17-21. Phenomenes de Stokes et Resur ([email protected]) or J. Isen a MAMLS meeting), Pennsylvania State gence, Marseille, France. (Jan. 1990, berg (Institute of Theoretical Science, University, University Park, PA. (Feb. p. 54) Univ. of Oregon, Eugene, OR 94703). 1990, p. 21 7) 17-21. International Conference on Ef * 7-9. History in Mathematics Education, fective Methods in Algebraic Geometry, * 31. Thirty-fifth Algebra Day, Univ. of Univ. of Leicester, Leicester, England. Castiglioncello (near Pisa), Italy. (Feb. Ottawa, Ottawa Ontario, Canada. PROGRAM: The format is a mixture 1990, p.2l7) SPONSORS: Carleton Univ. and Univ. of talks, from teachers in this coun 18-20. Biological Fluid Dynamics Work of Ottawa. try and abroad who have developed shop, Pittsburgh Supercomputing Center, INVITED SPEAKERS: G. Benkart, Wis historical perspectives in their math Pittsburgh, PA. (Feb. 1990, p. 218) consin; B. Fine, Fairfield; 0. Mathieu, ematics teaching, and workshop ses 18-21. Sixty-eighth Annual Meeting of lAS/Paris. sions to consolidate and develop the the National Council of Teachers of Math INFORMATION: M. Racine, Dept. of ideas further. The conference is not ematics, Salt Lake City, UT. (Jul./Aug. Math., Univ. of Ottawa, Ottawa On about teaching the history of mathe 1989, p. 766) tario KIN 6N5, Canada. matics as a school subject, but about 19-21. Fourth National Conference on using history in mathematics teach Undergraduate Research, Union College, ing. Schenectady, NY. (Nov. 1989, p. 1249) April1990 INFORMATION: S. Russ, HIM ED 90, 19-21. Conference on Function Spaces, Dept. of Comp. Sci., Univ. of War l-3. Low Dimensional Dynamics, Uni Southern Illinois University, Edwards wick, Coventry CV4 7AL; tel (0203) versity of Maryland at College Park. (Jan. ville, IL. (Dec. 1989, p. 1435) 523681. 1990, p. 54) 19-22. 1990 Far Western Section, Uni l-4. ENAR Spring Meeting, Baltimore, * 8-ll. Symposium on the Inverse Galois versity of New Mexico, Albuquerque, MD. (Jul./ Aug. 1989, p. 766) Problem, Oxford, England. New Mexico. l-7. Design and Codes, Oberwolfach, PuRPOsE: The symposium will be held Federal Republic of Germany. (Jul./Aug.
MARCH 1990, VOLUME 37, NUMBER 3 325 Meetings and Conferences
INFORMATION: W. Drady, AMS, P.O. PuRPOSE: The conference is intended ments and Applications in Mathematics Box 6248, Providence, RI 02940. to provide workers at the interface of and Computer Science, International Cen mathematics and biology with an op tre for Theoretical Physics, Trieste, Italy. 22-25. Directions for the Decade in portunity to discuss issues of common (May/Jun. 1989, p. 601) SUPERcomputing, University of Florida, interest. 9-12. Computer Algebra and Parallelism Gainesville, FL. (Jan. 1990, p. 54) PROGRAM: In addition to two invited (CAP-90), Cornell University, Ithaca, NY. 22-27. Tenth Conference on Analytic talks by J. Cowan and J. White, there (Feb. 1990, p. 218) Functions, Kozubnik, Poland. (Oct. 1989, will be a series of short talks morning 13-19. Abstrakte Konvexe Analysis, p. 1095) and afternoon. Oberwolfach, Federal Republic of Ger 22-28. Einhollende Algebren und Ringe INFORMATION: E. Beltrami, Dept. of many. (Jul./ Aug. 1989, p. 766) Von Differentialoperatoren, Oberwolfach, Applied Math. and Stat., State Univ. * 14-15. Finite Element Applications in Federal Republic of Germany. (Jul./ Aug. of New York at Stony Brook, NY Computational Mechanics, Champaign, 1989, p. 766) 11794-3600; tel 516-632-8367; email: IL. 24-26. Second IMACS/ACM-SIGNUM [email protected]. SPONSOR: The National Center for Su International Conference on Expert Sys 5-6. Pacific Northwest Geometry Semi tems for Numerical Computing, Purdue percomputing Applications (NCSA) nar, University of Oregon, Eugene, OR. at the University of Illinois at Urbana University, West Lafayette, Indiana. (Feb. (Jan. 1990, p. 55) 1990, p. 218) Champaign (UIUC). * 5-6. Midwest Partial Differential Equa INFORMATION: I. Dilber, NCSA, 152 27-30. Conference on Geometry and tions Seminar, Northwestern Univ., Topology, Harvard University, Cambridge, Computing Applications Building, 605 Evanston, IL. MA. (Feb. 1990, p. 218) East Springfield Ave., Champaign, IL 61820; tel: 217-244-1973; email: 28-29. Symposium on Value Distribu INFORMATION: Contact A. Devinatz [email protected] (Internet), tion Theory in Several Complex Variables, at the address above. 13024@ncsavms (Bitnet). Univ. of Notre Dame, Notre Dame, In 6-9. Computer Algebra and Differential diana. (Nov. 1989, p. 1250) Equations (CADE-90), Cornell Univer 14-15. Regional Workshop on Nonlinear 29-May 5. Gruppentheorie (Pro-Endliche sity, Ithaca, NY. (Feb. 1990, p. 218) Conservation Laws, Stony Brook, NY. Gruppen), Oberwolfach, Federal Repub (Jan. 1990, p. 55) 6-12. Geschichte der Mathematik, Ober lic of Germany. (Jul./ Aug. 1989, p. 766) wolfach, Federal Republic of Germany. * 14-18. Conference on Nonlinear Anal 30-May 4. Mathematiques pour Ia Robo (Jul./ Aug. 1989, p. 766) ysis and Partial Differential Equations, tique, Marseille, France. (Jan. 1990, p. 54) Rutgers University, New Brunswick, NJ. 7-9. 1990 IEEE Symposium on Research (Please note change from Jul./ Aug. 1989, in Security and Privacy, Oakland, CA. p. 767) (Oct. 1989, p. 1095) May 1990 * 7-9. Geometric Modeling and Design, INFORMATION: H.F. Pirrello, Confer 3-4. Twenty-first Annual Pittsburgh Con Wayne State Univ., Detroit, MI. ence on Nonlinear Analysis, Dept. of ference on Modeling and Simulation, Uni Math., Hill Center, Rutgers Univ., CONFERENCE TOPICS: Continuity of versity of Pittsburgh, Pittsburgh, P A. New Brunswick, NJ 08903; email: parametric surface patches, algebraic (Sep. 1989, p. 916) [email protected]. geometry in geometric modeling and * 3-4. Automation and Information Engi design, NC machining and toolpath 14-18. Workshop on K-Theory, Mathe neering Annual Research Review Confer planning. matical Sciences Research Institute, Berke ence, College Park, MD. INVITED SPEAKERS: C. Chui, G. Farin, ley, CA. (Jan. 1990, p. 55) SPONSORS: The Systems Research Cen D. Gossard, C. Hoffman, A. Re 14-18. Singularities et Theorie de Hodge, ter of the Univ. of Maryland and quicha. Marseille, France. (Jan. 1990, p. 55) Harvard Univ. INFORMATION: T.C. Sun, Dept. of * 14-18. Surfaces, Submanifolds, and their CONFERENCE TOPICS: Intelligent ser Mathematics, Wayne State Univ., De Applications, Univ. of Leeds, Leeds, Eng vomechanisms, expert systems and troit, MI 48202; tel 313-577-2499; land. parallel architectures, chemical pro email: [email protected]. cess systems, manufacturing systems, INVITED SPEAKERS: B.-Y. Chen, Michi 7-10. SIAM Conference on Applications communications and signal process gan; J. Eells, Warwick; H. Karcher, of Dynamical Systems, Orlando, FL. (Sep. ing systems. Bonn; K. Nomizu, Brown; U. Pinkall, 1989, p. 916) INVITED SPEAKER: G. Larrabee. Berlin; B. Smythe, Notre Dame; L. INFORMATION: Registration Deadline 7-11. Recent Advances in Regression, Verstraelen, Leuven; M. Bloor, Leeds. is April 15. S. Dass, Systems Research Montreal, Canada. (Jan. 1990, p. 55) INFORMATION: A. West, Pure Center, A.V. Williams Bldg. (115), 7-11. Algorithme et Programmation, Mathematics Department, Univ. of Univ. of Maryland, College Park, MD Marseille, France. (Jan. 1990, p. 55) Leeds, Leeds LS2 9JT; email: 20742; tel 301-454-7986. 7-11. Statistics Week, Universite de [email protected]; tel Montreal, Canada. (Feb. 1990, p. 218) (0532) 335154. * 4. Second Conference on Mathematical Biology, Stony Brook, NY. 7-June 1. College on Recent Develop- 17-19. Interface '90 (formerly Computer
326 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Meetings and Conferences
Science and Statistics: Symposium on In due Univ.; P. Alfeld, Univ. of Utah; 29-30. Algebraic Logic Conference in terface), East Lansing, MI. (Sep. 1989, D. Arnon, Xerox, Palo Alto; C. Bajaj, Honour of Professor Don Monk, Boulder, p. 916) Purdue Univ.; D. Bayer, Columbia Colorado. (Nov. 1989, p. 1250) 17-19. Colloquium: Computer Graphics Univ.; L.J. Billera, Cornell Univ.; B. 29-31. GAMM/IFIP Workshop: "Sto in Pure Mathematics, University of Iowa, Buchberger, Linz, Austria; J. Canny, chastic Optimization: Numerical Meth Iowa City, IA. (Dec. 1989, p. 1435) Berkeley; D. Kozen, Cornell Univ.; J. ods and Technical Applications", Neu Renegar, Cornell Univ.; M.-F. Roy, 18-20. Nineteenth Annual State of Jef biberg, Federal Republic of Germany. J.-J. Risler, Paris; ferson Mathematics Congress, Whiskey Rennes, France; (Jan. 1990, p. 56) D. Scott, Carnegie-Mellon Univ.; M. town, CA. (Feb. 1990, p. 219) 29-June 1. Eleventh Annual Conference Sharir, Tel Aviv. of the Canadian Applied Mathematics * 20-23. 1990 International Industrial En- INFORMATION: DIMACS, Hill Center, gineering Conference, San Francisco, CA. Society, Halifax, Nova Scotia. (Oct. 1989, Busch Campus, Rutgers Univ., P.O. p. 1096) Box 1179, Piscataway, NJ 08855; 201- PROGRAM: The annual conference will 29-June 2. Dynamical Theories of Turbu 932-5928; [email protected]. bring together the most successful lence in Fluid Flows, Minneapolis, MN. professionals in the field to share 1990 International Symposium (Nov. 1989, p. 1250) state of the art techniques, methods, 23-25. Logic, Charlotte, NC. 29-June 2. Workshop on Dynamical Sys and theories. The educational pro on Multiple-Valued 1989, p. 496) tems in Fluid Mechanics, Minneapolis, gram will feature over 100 education (Apr. MN. (Nov. 1989, p. 1251) sessions, 8 pre-conference seminars, 23-25. Workshop on Viscous and Nu and 6 evening workshops. merical Approximation of Shock Waves, 30-31. Conference on Algebraic Logic, INFORMATION: liE Registrar, P.O. Box North Carolina State University, Raleigh, Boulder, Colorado. (Dec. 1989, p. 1436) 6150, Norcross, GA 30091-6150; tel NC. (Feb. 1990, p. 219) 31-June 1. Annual Meeting of the Cana 404-449-0460; Fax 404-263-8532. 23-27. Azumaya Algebras, Group Ac dian Society for History and Philosophy tions, and Modules: A Conference in of Mathematics, University of Victoria, 20-25. NSF /CBMS Conference on Op Honor of Goro Azumaya's 70th Birth British Columbia. (Feb. 1990, p. 220) Univer erator Algebras, Texas Christian day, Indiana University, Bloomington, 31-June 3. Percolation Models of Ma p. 55) sity, Fort Worth, TX. (Jan. 1990, IN. (Feb. 1990, P. 219) terial Failure, Cornell University, Ithaca, 20-26. The SchrOdinger Equation and 24. Second Conference on Lagrange Cal NY. (Dec. 1989, p. 1436) Its Classical Counterparts, Oberwolfach, culus, Community College of Philadel Federal Republic of Germany. (Jul./ Aug. phia, Philadelphia, P A. (Feb. 1990, p. 219) 1989, p. 767) 24-25. Twelfth Symposium on Mathe June 1990 Pro 21-24. The Simulation of Random matical Programming with Data Perturba June-July 1990. International IMACS and cesses and Fields - Mathematics tions, George Washington Univ., Wash Conference on Mathematical Modelling 1989, Applications, Portofino, Italy. (Sep. ington, DC. (Nov. 1989, p. 1250) and Applied Mathematics, Vilnius, USSR. p. 916) 24-26. Conference on Probability Mod (Sep. 1989, p. 917) Confer 21-25. NSF-CBMS Regional els in Mathematical Physics, Colorado 1-8. Third International Symposium on Analytic ence on The Interface between Springs, CO. (Jan. 1990, p. 56) Orthogonal Polynomials and Their Ap and Harmonic Analysis, Number Theory 25-31. Tenth International Conference plications, Erice-Trapani (Sicily), Italy. KS. (Jan. 1990, p. 55) Manhattan, on Pattern Recognition, Resorts Hotel, (Dec. 1989, p. 1436) United States National 21-25. Eleventh Atlantic City, NJ. (Mar. 1988, p. 466) 1-10. Fourth Annual Meeting of the of Applied Mechanics, Tucson, Congress 27-June 2. Lyapunov-Exponents, Ober International Workshop in Analysis and AZ. (Nov. 1988, p. 1389) wolfach, Federal Republic of Germany. its Applications, Dubrovnik-Kupari, Yu 21-2 5. Nonlinear Analysis, Function (Jul./ Aug. 19 89, p. 767) goslavia. (Oct. 1989, p. 1096) Spaces and Applications IV, Czechoslo 28-June 1. Twenty-second Annual Con 3-6. 1990 Annual Meeting of the Sta vakia. (Jan. 1990, p. 56) ference on Statistics, Tours, France. (Jan. tistical Society of Canada, St. John's, * 21-25. DIMACS Workshop: Algebraic 1990, p. 56) Newfoundland, Canada. (Sep. 1989, Issues in Geometric Computations, New 28-June 1. Tenth International Confer p. 917) Brunswick, NJ. ence on Distributed Computing Systems, 3-6. Symposium on Chaos in Biolog PROGRAM: This is the sixth workshop Paris, France. (Jan. 1990, p. 56) ical and Agricultural Systems, Lincoln, in the DIMACS Special Year on Dis 28-June I. Mecanique Celeste et Sys Nebraska. (Jan. 1990, p. 56) crete and Computational Geometry. temes Hamiltoniens, Marseille, France. 3-9. Graphentheorie, Oberwolfach, Fed The plan is to have a number of in (Jan. 1990, p. 56) eral Republic of Germany. (Jul./ Aug. vited and contributed talks, in order 28-June 1. Workshop on Set Theoretic 1989, p. 767) to encourage more direct interaction Methods in Algebra, Baylor University, 4-7. Fifth Annual IEEE Symposium on among the participants. Waco, Texas. (Feb. 1990, p. 219) Logic in Computer Science, Philadelphia, ORGANIZERS: R. Pollack, B. Sturm 28-June 2. Geometry of Complex Projec PA. (Sep. 1989, p. 917) fels. tive Varieties, Cetraro, Italy. (Nov. 1989, 4-8. Workshop on Model Theory, Berke INVITED SPEAKERs: S. Abhyankar, Pur- p. 1250) ley, CA. (Sep. 1989, p. 917)
MARCH 1990. VOLUME 37, NUMBER 3 327 Meetings and Conferences
4-8. Nonlinear Phenomena in Atmo many. (Jul./ Aug. 1989, p. 767) brew Univ., Jerusalem, Israel. (Feb. 1990, spheric and Oceanic Sciences, Minneapo I 0-16. Fourth Czechoslovak Symposium p. 220) lis, MN. (Nov. 1989, p. 1251) on Combinatorics, Prachtice, Czechoslo 13-15. Seventh Annual Quality and Pro 4-8. International Conference on Approx vakia. (Nov. 1989, p. 1251) ductivity Research Conference, Madison, imation Interpolation and Summability in 11-14. Fourteenth Rolf Nevanlinna Col WI. (Mar. 1989, p. 315) Honor of A. Jakimovski, Tel Aviv, Israel. loquium, University of Helsinki, Helsinki, 13-16. Function Estimation and Sta (Dec. 1989, p. 1436) Finland. (Jul./ Aug. 1989, p. 767) tistical Applications, Cornell University, 4-8. International Conference on Boot ll-14. Fifth SIAM Conference on Dis Ithaca, NY. (Feb. 1990, p. 221) strapping and Related Techniques, Trier, crete Mathematics, Atlanta, GA. (Sep. 13-22. Free Boundary Problems: Theory Federal Republic of Germany. (Jan. 1990, 1989, p. 917) and Applications, Centre de Recherches p. 56) ll-15. World Organization of Systems Mathematiques, Universite de Montreal, * 4-8. The Mathematics of Neural Nets, and Cybernetics Eighth International Con Canada. (Jul./ Aug. 1989, p. 767) Salisbury State Univ., Salisbury, MD. gress, New York, NY. (Please note date 14-16. Sixth Summer Conference on PURPOSE: To give college teachers a change from Mar. 1989, p. 315) General Topology and Applications, Long working knowledge of Neural Nets. ll-15. Chaotic Processes in the Geolog Island Univ. (C.W. Post Campus), LECTURER: R.J. Scott. ical Sciences, Minneapolis, MN. (Nov. Brookville, NY. (Feb. 1990, p. 221) INFORMATION: B.A. Fusaro, Dept. of 1989, p 1251) 14-16. Fifth Southeast Asian Conference Math. Sciences, Salisbury State Univ., ll-15. Third International Conference on on Mathematical Education (SEACME Salisbury, MD 21801; 301-543-6470 Hyperbolic Problems, Uppsala, Sweden. 5), Gadong, Brunei Darussalam. (Nov. or 6471. (Jan. 1990, p. 57) 1989, p. 1251) 11-15. Rigorous Results in Quantum Dy * 14-16. Function Estimation and Statis 4-12. Recent Developments in Geomet namics, Liblice Castle, Czechoslovakia. tical Applications, Cornell Univ., Ithaca, ric Topology and Related Topics, Villa (MayjJun. 1989, p. 602) NY. "La Querceta", Montecatini Terme. (Feb. 1990, p. 220) ll-15. NSF /CBMS Conference on PuRPOSE: This workshop will focus Wavelets, University of Lowell, Lowell, 4-15. Analyse Harmonique sur Les on using data to estimate unknown MA. (Nov. 1989, p. 1251) Groupes Reductifs P-Adiques, Marseille, functions. France. (Jan. 1990, p. 56) 11-15. IMACS First International Con ORGANIZERS: D. Ruppert, Cornell ference on Computational Physics, Boul Univ. and J.S. Marron, Univ. of 4-28. Supercomputing Program for Un der, CO. (Jan. 1990, p. 57) North Carolina, Chapel Hill. dergraduate Research, Cornell National INVITED SPEAKERs: N. Altman, R.J. Supercomputing Facility, Ithaca, NY. * ll-15. The Mathematics of Computer Carroll, D. Cline, D. Cox, R. Eubank, (Feb. 1990, p. 220) Graphics, Salisbury State Univ., Salis bury, MD. P. Hall, I. Johnstone, R. Liu, J.S. 6-8. First IFIP Conference on Fractals, Marron, D. Nychka, J. Rice, D. Scott, Lisbon, Portugal. (Jan. 1990, p. 57) PuRPOSE: To give college teachers P. Speckman, M. Wells. 6-9. Fifth Annual Conference of the a working knowledge of computer INFORMATION: For scientific content: European Consortium for Mathematics graphics. D. Ruppert, School of Operations in Industry, Lahti, Finland. (Apr. 1989, LECTURER: J.W. Weiss. Research and Industrial Engineering, p. 496) INFORMATION: B.A. Fusaro, Dept. of Cornell Univ., 343A Upson Hall, 6-12. 1990 Barcelona Conference on Math. Sciences, Salisbury State Uni Ithaca, NY 14853, 607-255-9136; Algebraic Topology, Centre de Recerca versity, Salisbury, MD 21801; 301- email: [email protected]. To reg Matematica, Barcelona, Spain. (Sept. 543-6470 or 6471. ister: V. Styles, Mathematical Sciences 201 Caldwell 1988, p. 1060) * ll-15. Undergraduate Faculty Enhance Institute, Cornell Univ., 607- 6-15. Third Logical Biennial (in honour ment "Workshop on Computational Num Hall, Ithaca, NY 14853-2602; of S.C. Kleene), Chaika (near Varna), ber Theory", Univ. of Wisconsin 255-7740. Bulgaria. (Oct. 1989, p. 1096) Whitewater, WI. 15-20. Global Differential Geometry and 7-July 4. 1990 Joint Summer Research LECTURER: Carl Pomerance. Global Analysis, Berlin, Federal Republic Conferences in the Mathematical Sci INFORMATION: R.M. Najar, College of Germany. (Jan. 1990, p. 57) ences, University of Massachusetts at of Letters and Sciences, Univ. of 17-23. Partial Differential Equations in Amherst, MA. Wisconsin-Whitewater, Whitewater, Complex Analysis, Oberwolfach, Federal INFORMATION: C. Kohanski, AMS, WI 53190; 414-472-1620. Republic of Germany. (Jul./ Aug. 1989, P.O. Box 6248, Providence, RI 02940. p. 767) Conference 12-15. Ninth International 18-20. Joint WNAR-IMS Regional Meet of Systems, I 0-14. Sixth Haifa Matrix Conference on Analysis and Optimization ing, Montana State University, Bozeman, p. 57) Technion City, Haifa, Israel. (Feb. 1990, Antibes, France. (Jan. 1990, MT. (Mar. 1989, p. 315) p. 220) 12-15. Workshop on Spectral and Scat 18-21. A Conference on Partial Dif Op I 0-16. Reelle Algebraische Geometrie, tering Theory of Partial Differential ferential Equations, in Honor of Shmuel Federal Republic of Ger- erators, Institute of Mathematics, He- Oberwolfach, Agmon, Inst. of Math., Hebrew Univ.,
328 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Meetings and Conferences
Jerusalem, Israel. (Feb. 1990, p. 221) INVITED SPEAKERs: M. Misiurewicz, 2-6. The Jonsson Symposium, Laugar 18-22. Fourteenth Mathematical Sci Warsaw Univ.; F. Takens, Univ. of vatn, Iceland. (Sep. 1989, p. 918) ences Lecture Series on Partially Ordered Groningen; T. Tel, Eotvos Univ.; 2-6. Thirty-fourth Annual Meeting of the Sets, Johns Hopkins University, Balti J.A. Yorke, Univ. of Maryland; L. Australian Mathematical Society, Towns more, Maryland. (Oct. 1989, p. 1096) S. Young, Univ. of Arizona. ville, Queensland, Australia. (Oct. 1989, 18-22. Approximations Diophantiennes INFORMATION: H.E. Nusse, Rijksuni p. 1097) et Nombres Transcendants, Marseille, versiteit Groningen, Faculteit der 2-6. Fifteenth International Biomet France. (Jan. 1990, p. 57) Economische Wetenschappen, WSN ric Conference, Budapest, Hungary. (Jan. gebouw, Post bus 800, NL-9700 AV 18-23. The Fifth International Confer 1990, p. 58) * Groningen, The Netherlands. ence on Topology and its Applications, 2-7. Groupes Ordonnes et Groupes Dubrovnik, Yugoslavia. 24-30. Mathematische Probleme in der de Permutation, Marseille, France. (Jan. 1990, p. 58) ORGANIZING COMMITTEE: I. lvansic Nichtlinearen Elastizitlit, Oberwolfach, (Chairman), D. Adnadevic (Vice Federal Republic of Germany. (Jul./Aug. 2-10. Continua with Microstructures, chairman), M. Mrsevic (Secretary), 1989, p. 767) Villa "La Querceta", Montecatini Terme. S. Mardesic, J. Vrabec. 25-29. International Symposium on (Feb. 1990, p. 222) CONFERENCE TOPICS: General topol Fuzzy Approach to Reasoning and De 2-31. Time Series, Minneapolis, MN. ogy, geometric topology, algebraic top cision Making, Bochyne, Czechoslovakia. (Nov. 1989, p. 1252) ology, differential topology, applica (Oct. 2-August 10. Representations des tions. 1989, p. 1096) Groupes et des Algebres de Lie, Uni INFORMATION: Secretary: M. Mrsevic, 25-29. Logique et Informatique, Mar versite de Montreal, Canada. (Feb. 1990, Drustvo Matematicara SR Srbije, seille, France. (Feb. 1990, p. 221) p. 222) Knez Mihailova 35/IV, p.p. 791, 25-July 13. SMS-NATO ASI: Shape 3-6. Eleventh Dundee Conference on Or 11001 Beograd, Yugoslavia. Optimization and Free Boundaries, Uni dinary and Partial Differential Equations, versite de Montreal, Montreal, Canada. Dundee, Scotland. (Sep. 1989, p. 918) 18-26. Recent Developments in Hoc Con (Dec. 1989, p. 1437) trol Theory, Villa Olmo, Como. (Feb. 5-7. Lattice Path Combinatorics and Ap 1990, p. 221) 27-29. ACM Conference on Lisp and plications, McMaster University, Hamil Functional Programming, Nice, France. ton, Ontario, Canada. (Feb. 1990, p. 222) 18-29. Radar/Sonar, Minneapolis, MN. (Jan. 1990, p. 58) (Nov. 1989, p. 1251) 6-7. International Colloquium on Appli 27-30. Fourth International Congress cations of Mathematics (on the occasion 18-29. AMS-SIAM Summer Seminar on on Algebraic Hyperstructures and Ap of the 80th birthday of Lothar Collatz), Vortex Dynamics and Vortex Methods, plications, Xanthi, Greece. (Apr. 1989, Hamburg, West Germany. (Feb. 1990, University of Washington, Seattle, WA. p. 496) p. 222) INFORMATION: B. Verducci, AMS, P.O. 8-14. Variationsrechnung, Oberwolfach, Box 6248, Providence, RI 02940. Federal Republic of Germany. (Apr. 1989, p. 497) 20-22. Sixteenth International Workshop July 1990 on Graph-Theoretic Concepts in Computer 9-11. "Universita'di Genova- The Ohio Science, Berlin, Federal Republic of Ger July 1990. AMS Summer Research Insti State University Joint Conference" on many. (Jan. 1990, p. 57) tute on Differential Geometry, University New Trends in Systems Theory, Genoa, Italy. (Jul./ Aug. 1989, p. 768) * 20-23. Second Symposium on Chaotic of California, Los Angeles, CA. 9-14. 4eme Colloque International de Dynamical Systems, Conference Center INFORMATION: W. Drady, AMS, P.O. Theorie des Graphes et de Combinatoire, "Woudschoten" (near Utrecht), The Box 6248, Providence, RI 02940. Netherlands. Marseille-Luminy, C.I.R.M., France. (Jan. 1-7. Modulfunktionen In Mehreren Vari 1990, p. 58) PURPOSE: The purpose of the sympo ablen, Oberwolfach, Federal Republic of 9-20. Geometry and Topology of Four sium is the following: 1). The lectures Germany. (Apr. 1989, p. 497) Manifolds, McMaster University, Hamil consist of introductions to some sub 1-15. International Symposium on Alge ton, Ontario, Canada. (MayfJun. 1989, jects as well as a sketching overview p. 602) of actual research, i.e. lectures for a braic Topology - Adams Memorial Sympo broad audience. These lectures will be sium, University of Manchester, England. * 15-20. SIAM Annual Meeting, Chicago, given by some leading researchers in (Sep. 1989, p. 918) IL. the field. 2). There must be a suffi 1-18. Twentieth Summer Session on ORGANIZER: A. Manitius, George Ma cient amount of time to discuss with Probability Theory, Saint-Flour (Cantal), son Univ. the prominent researchers. This does France. (Mar. 1989, p. 315) INFORMATION: SIAM, Conference Co not only hold for advanced scientists ordinator, Dept. CCO 190, 3600 Uni but also for Ph.D. students. 3). The 2-6. Tenth Australian Statistical Con versity City Science Center, Philadel participating Ph.D. students will get ference/Second Pacific Statistical Con phia, PA 19104-2688; tel 215-382- the opportunity to present a poster. gress, Sydney, Australia. (Jul./ Aug. 1989, 9800; Fax 215-386-7999; email: p. 768)
MARCH 1990, VOLUME 37, NUMBER 3 329 Meetings and Conferences
[email protected]. Federal Republic of Germany. (Apr. ing the summer meetings of the AMS, 1989, p. 497) AWM, MAA and PME). This is the 75th 15-21. Stochastic Image Models and Al 23-27. CADE 10 - Tenth Interna Anniversary of the MAA. gorithms, Oberwolfach, Federal Republic tional Conference on Automated Deduc of Germany. (Apr. 1989, p. 497) INFORMATION: H. Daly, AMS, P.O. tion, West Germany. (Feb. 1990, p. 223) 15-22. 1990 European Summer Meet Box 6248, Providence, RI 02940. 23-28. Fourth International Congress on ing (Logic Colloquium '90), University of Computational and Applied Mathematics, * 8-11. The Fifth KIT Mathematics Work Helsinki, Finland. (Feb. 1990, p. 222) Leuven, Belgium. (Jan. 1990, p. 58) shop, Korea Institute of Technology, Tae 15-23. Colloquium in Honor of Roland 23-August 4. Third Workshop on Stochas jon, Korea. Fraisse, Centre International de Recon tic Analysis, Silivri, Istanbul-Turkey. (Feb. tres Mathematiques, Luminy, France. PROGRAM: Algebra and topology. The 1990, p. 223) (May /Jun. 1989, p. 602) program will consist of a series of 26-29. International Conference on New lectures by invited speakers, and some 16-20. SIAM Annual Meeting, Chicago, Trends in Geometric Function Theory one-hour talks. IL. (Nov. 1988, p. 1389) and Applications, University of Madras, CALL FOR PAPERS: Papers are SO 16-20. Symposium Fraisse, Marseille, Madras, India. (Sep. 1989, p. 918) licited in all areas of algebra and France. (Jan. 1990, p. 58) 29-August 4. Mechanik Und Algebrais topology. Small amounts of financial * 16-20. NSF-CBMS Regional Conference che Geometrie, Oberwolfach, Federal Re support will be available to a limited "The Polynomial Identities and Invari public of Germany. (Apr. 1989, p. 497) number of talkers. ants of n x m Matrices", DePaul Univ., 30-August 4. The Fourth International INFORMATION: Y. Yong Oh, Director, Chicago, IL. Conference on Fibonacci Numbers and Mathematics Research Center, Korea INVITED SPEAKERs: E. Formanek (Fea their Applications, Wake Forest Univer Institute of Technology, Taejon 305- tured Lecturer), S.A. Amitsur, A. sity, Winston Salem, NC. (Nov. 1989, 701, Korea; fax: (Korea) 42-861-5636. Berele, L. LeBruyn, S. Montgomery, p. 1252) * 12-13. Workshop on Using Technology L. Small. 31-August 2. Dynamics of Numerics to Enhance the Teaching and Learning INFORMATION: J. Bergen, Dept. of and the Numerics of Dynamics, Bristol, of Calculus and Precalculus Mathematics, Math., DePaul Univ., Chicago, IL England. (Nov. 1989, p. 1252) The Ohio State Univ., Columbus, OH. 60614; tel 312-341-8248; email: matjmb@depaul. bitnet. PROGRAM: Fourth annual summer August 1990 workshop for college mathematics fac * 16-21. Design and Analysis of Scientific ulty on the use of graphing calculators Experiments, Cambridge, MA. * 2-3. AMS-SIAM-SMB Symposium on and computers in college calculus and Some Mathematical Questions in Biology, precalculus instruction. Immediately INFORMATION: Director of the Sum Neural Networks, Vancouver, Canada. mer Session, Room El9-356, MIT, after the annual summer AMS/MAA Cambridge, MA 02139. INFORMATION: Betty Verducci, AMS, meetings in Columbus, OH. P.O. Box 6248, Providence, RI 02940. INFORMATION: F. Demana and B. * 16-27. Regional Institute in Dynamical Waits, 1990 Summer College Work Systems, Boston Univ., Boston, MA. 5-9. From Topology to Computation: shop, The Ohio State University, Math. Unity and Diversity in the Mathematical Dept., 231 W. 18th Ave., Columbus, PROGRAM: A two week intensive short Sciences (in Honor of Professor Stephen OH 43210. course on the basic ideas in dynam Smale's 60th Birthday), Berkeley, CA. ics, aimed at graduate students and (Jan. 1990, p. 58) 12-18. Algebraische Zahlentheorie, Ober college faculty. Opportunities for in wolfach, Federal Republic of Germany. 5-11. Mathematical Methods in Tomog teractions with ongoing high school (Apr. 1989, p. 497) raphy, Oberwolfach, Federal Republic of teacher enhancement programs in dy Germany. (Apr. 1989, p. 497) 12-18. Pre-Congress Topology Confer namics. Support from NSF for travel ence, University of Hawaii, Honolulu, 5-11. International Conference on Ap and lodging for participants is antici HI. (Feb. 1990, p. 223) pated. proximation Theory, Hungary. (Oct. 1989, p. 1097) 13-16. Alaska Conference, Quo Vadis, CoNFERENCE ToPics: Chaos, complex Graph Theory?, University of Alaska, 6-7. AMS Short Course on Combinato dynamics, circle and annulus maps, Fairbanks, AK. (Oct. 1989, p. 1097) computer experiments in dynamics, rial Games, Columbus, Ohio. and teaching dynamics. 13-1 7. Fifth International Conference INFORMATION: M. Foulkes, AMS, P.O. on Hadronic Mechanics and Nonpoten INVITED SPEAKERS: P. Blanchard, R.L. Box 6248, Providence, RI 02940. Devaney, D. Fried, G.R. Hall. tial Interactions, University of Northern Iowa, Cedar Falls, Iowa. (Jul./ Aug. 1989, INFORMATION: Dynamics Institute, 6-9. 1990 Joint Statistical Meetings, p. 768) Mathematics Dept., 111 Cummington Anaheim, CA. (Mar. 1988, p. 466) 13-17. Eleventh IFAC World Congress, St., Boston Univ., Boston, MA 02215; 6-10. Singularities, Honolulu, Hawaii. Tallin, USSR. (Sep. 1989, p. 918) email: dynamics-inst@math. bu.edu. (Feb. 1990, p. 223) 13-1 7. Algebraic Geometry and Ana 8-11. Joint Mathematics Meetings, Ohio 22-28. Konvexgeometrie, Oberwolfach, lytic Geometry, Tokyo, Japan. (Sep. 1989, State University, Columbus, OH. (includ-
330 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Meetings and Conferences
p. 919) 16-19. Current Topics in Operator Alge 30-Septcmber 4. International Sym 13-17. 1990 International Conference on bras, Nara Ken-New Public Hall, Nara, posium on Computational Mathematics, Parallel Processing, Pennsylvania State Japan. (Feb. 1990, p. 224) Matsuyama, Japan. (Feb. 1990, p. 224) University, University Park, PA. (Dec. 18-22. The Second International Confer 31-September I. Tokyo History of Math 1989, p. 1438) ence on Graph Theory, Kanagawa, Japan. ematics Symposium 1990, University of * 13-17. NSF /CBMS Conference on Ran (Feb. 1990, p. 224) Tokyo, Tokyo, Japan. (Feb. 1990,p.224) dom Number Generation and Quasi-Monte 19-20. Inverse Problems in Engineering 31-September 2. Conference on Repre Carlo Methods, Univ. of Alaska, Fair Sciences, Osaka Institute of Technology, sentation Theories of Lie Groups and Lie banks, AK. Osaka, Japan. (Feb. 1990, p. 224) Algebras, Lake-Kawaguchi, Yamanashi, Japan. (Feb. 1990, p. 224) PROGRAM: H. Niederreiter will give 19-25. Mathematische Methoden Des ten lectures emphasizing recent re VLSI-Entwurfs Und Des Distributed Com 31-September 4. International Sympo search in the interrelated areas of: putings, Oberwolfach, Federal Republic sium on Functional Analysis and Re quasirandom points and applications of Germany. (Apr. 1989, p. 497) lated Topics, Sapporo, Japan. (Feb. 1990, to numerical analysis; pseudorandom 20-24. Second International joint Confer p. 225) numbers and applications to Monte ence of the ISSAC-90 and the AAECC-8, 31-September 4. General Topology and Carlo methods; linear complexity for Nihon University, Tokyo, Japan. (Feb. Geometric Topology Symposium, Uni pseudorandom sequences of bits and 1990, p. 224) versity of Tsukuba, Japan. (Feb. 1990, applications to cryptography. There 20-25. Fifth Conference on Numerical p. 225) will also be a few additional lectures Methods, Miskolc, Hungary. (Jan. 1990, by other participants. p. 59) INFORMATION: J.P. Lambert, Dept. 21-29. The International Congress of September 1990 of Mathematical Sciences, Univ. of Mathematicians 1990, Kyoto, Japan. Alaska, Fairbanks, AK 99775-1110; (Nov. 1988, p. 1389) September /October 1990. IMACS GAMM Conference on Computer Arith email: [email protected]. 23-September I. Twenty-eigth Interna metic, Scientific Computation and tional Symposium on Functional Equa 13-18. Institute of Mathematical Statis Mathematical Modelling, Bulgaria. (Sep. tions, Graz-Mariatrost, Austria. (Dec. tics Fifty-third Annual Meeting(jointly 1989, p. 919) 1989, p. 1438) with the Second World Congress of the IMACS Symposium on Modelling and 26-September 1. Komplexe Analysis, Bernoulli Society), Uppsala, Sweden. (Sep. Simulation of Electrical Machines, EN Oberwolfach, Federal Republic of Ger 1989, p. 919) SEM- Nancy, France. (MayfJun. 1989, many. (Apr. 1989, p. 497) 13-18. Tsukuba International Confer p. 602) 27-31. Eleventh Prague Conference on ence on Representations of Algebras and 2-7. Twelfth International Conference on Information Theory, Statistical Decision Related Topics, University of Tsukuba, Nonlinear Oscillations, Cracow, Poland. Functions and Random Processes, Praha, Japan. (Nov. 1989, p. 1253) (Sep. 1989, p. 919) Czechoslovakia. (Jan. 1990, p. 59) 14-18. The Asian Mathematical Con 2-7. International Conference on Integral 28-30. IMACS European Simulation ference 1990, Hong Kong, China. (Sep. Equations and Boundary Value Problems, Meeting on Problem Solving by Simula 1989, p. 919) Yantai University, Shandong, People's tion, Esztergom, Hungary. (Mar. 1989, 14-18. Harmonic Analysis, Sendai 1990, Republic of China. (Nov. 1989, p. 1253) p. 316) Tohoku University, Sendai, Japan. (Feb. 2-8. Topologie, Oberwolfach, Federal 28-31. Operations Research 1990, Inter 1990, p. 223) Republic of Germany. (Apr. 1989, p. 497) 14-18. Zeta Functions in Geometry, national Conference Operations Research, Vienna, Austria. (Jul./ Aug. 1989, p. 768) 3-6. Fourth Asian Logic Conference, Tokyo Institute of Technology, Tokyo, Tokyo, Japan. (Mar. 1989, p. 316) Japan. (Feb. 1990, p. 223) 29-31. International Colloquium on 3-7. IMACS Symposium on Intelligent 15-19. International Conference on Knot Words, Languages, and Combinatorics, Kyoto Sangyo University, Kyoto, Japan. Models in Systems Simulation, Brussels, Theory and Related Topics, International Belgium. (Mar. 1989, p. 316) House, Osaka, Japan. (Apr. 1989, p. 497) (Feb. 1990, p. 224) 3-7. Representation des Groupes et Anal 15-19. International Conference on Com 30-September I. International Sympo sium on the Semigroup Theory and its yse Complexe, Marseille, France. mutative Algebra and Combinatorics, (Jul./ Aug. 1989, p. 768) Nagoya University, Nagoya, Japan. (Feb. Related Fields, Ritsumeikan University, Conference on Dynam 1990, p. 224) Kyoto, Japan. (Feb. 1990, p. 224) 3-7. International ical Systems and Related Topics, Nagoya 15-20. Conference on Gaussian Random 30-September 2. International Sympo sium on Functional Differential Equa University, Nagoya, Japan. (Feb. 1990, Fields (The Third Nagoya Levy Seminar), p. 225) Nagoya University, Nagoya, Japan. (Nov. tions and Related Topics, Kyoto Shigaku 1989, p. 1253) Kaikan (YOUANDI),Kyoto, Japan. (Feb. * 3-8. Physical Interpretations of Rela 1990, p. 224) tivity Theory, Imperial College, London, 16-18. SIGAL International Symposium England. on Algorithms, Tokyo, Japan. (Oct. 1989, 30-September 4. International Confer p. 1097) ence on Potential Theory, Nagoya, Japan. PuRPOSE: The conference will review (MayfJun. 1989, p. 602) the development, status and potential
MARCH 1990, VOLUME 37, NUMBER 3 331 Meetings and Conferences
of the various physical interpretations 1990, p. 60) Univ. of Aachen, FRG; P. Le Tal of the Relativistic Formal Structure. 17-22. DMV-Jahrestagung 1990, Bre lee, Univ. of Paris Dauphine, France; INFORMATION: Conference Coordina men, Federal Republic of Germany. B. Monnerie, ONERA and AAAF, tor, M.C. Duffy, School of Mech. and (Jul./ Aug. 1989, p. 769) France; R. Pellat, CNES, France; J. Manufacturing Engineering, Sunder 23-29. Random Graphs and Combinator Periaux, Dassault Industries, France; land Polytechnic, Chester Rd., Sun ical Structures, Oberwolfach, Federal Re M. Smith, U.S. Air Force Academy; J. derland SRI 3SD; tel (091) 5152856. public of Germany. (Apr. 1989, p. 498) Stollery, Cranfield Institute of Tech nology, UK; J. Wendt, VKI, Belgium. on 8-12. Neuronet-90: IMACS International 24-28. International Symposium CONFERENCE TOPICS: Physical envi Symposium on Neural Nets and Neu Mathematical Theories, San Sebastian, ronments, configuration requirements, ral Computers, Prague, Czechoslovakia. Spain. (Jan. 1990, p. 60) propulsion systems including airbreath (Please note change from May I Jun. 1989, 24-28. Structure Galoisienne Arithme ing systems, experimental methods p. 602) tique, Marseille, France. (Jan. 1990, p. 60) for external and internal flow, the 9-15. Surgery and L-Theory, Oberwol 24-28. IMACS-GAMM International oretical and numerical methods. fach, Federal Republic of Germany. (Apr. Symposium on Computer Arithmetic, Sci INVITED SPEAKERs: J.J. Bertin, SAN 1989, p. 498) entific Computation and Mathematical DIA Nat'l. Labs.; F.S. Billig, Johns * l 0-12. Second International Workshop Modelling - SCAN 1990, Albena (near Hopkins Univ.; R. Brun, Univ. de on Advances in Robot Kinematics, Linz, Varna), Bulgaria. (Feb. 1990, p. 225) Provence, France; J. Cousteix, Austria. (Please note change in location 24-29. Mathematical Modelling of In ONERA-CERT, France; M. Delery, from Jan. 1990, p. 59) dustrial Processes, Tecnopolis, Bari. (Feb. ONERA/OA, France; J.-A. Desideri, 10-14. Mathematiker-Kongress, Dres 1990, p. 225) INRIA, France; D. Hanel, RWTH den, German Democratic Republic. 30-0ctober 6. Diophantische Approxi Aachen, FRG; E.H. Hirschel, MBB (Jul./ Aug. 1989, p. 769) mationen, Oberwolfach, Federal Republic Mi.inchen, FRG; H. Hornung, Califor nia Inst. of Tech.; G. Koppenwallner, l 0-14. Greco Calcul Formel, Marseille, of Germany. (Apr. 1989, p. 498) DLR, FRG; R.G. Lacau, Aerospatiale, France. (Jan. 1990, p. 60) France; C.P. Li, NASA-JSC; M. Mal * l 0-14. Real Analysis and Measure The- let, Dassault Industries, France; J.G. ory, Capri, Italy. October 1990 Marvin, NASA-ARC; C.G. Miller, III, SciENTIFIC CoMMITTEE: L. Albano, l-5. Organisations et Theorie des Jeux, NASA-LRC; R.D. Neumann, Wright Univ. di Bari; V. Aversa, Univ. Fed Marseille, France. (Jan. 1990, p. 60) Patterson Labs; M. Pandolfi, Politech nico di Torino, Italy; P. Perrier, Das erico II di Napoli; L. Barone, Univ. * l-5. Third Joint Europe/U.S. Short C.D. Scott, di Leece; B. Bongiorno, Univ. di Course in Hypersonics, RWTH Aachen sault Industries, France; NASA-JSC; J.L. Steger, NASA-ARC; Palermo; M. Boni, Univ. di Mod Univ. of Technology, Federal Republic K.F. Stetson, Wright-Patterson Labs; ena; P. de Lucia, Univ. Federico of Germany. II di Napoli; E. De Pascale, Univ. J.L Stollery, Cranfield Inst. of Tech., della Calabria; N.O. Berruti, Univ. di PROGRAM: Since hypersonic flight re UK. Pavia; M. Puglisi, Univ. di Bari; G. quires highly integrated systems the INFORMATION: Conference Office, K. Santagati, Univ. di Catania; C. Vinti, short course not only aims to give H. Brakhage, Institut fi.ir Geometric, Univ. di Perugia; A. Voleic, Univ. di in depth analysis of hypersonic re und Praktische Mathematik, RWTH Trieste; H. Weber, Univ. della Basili search and technology but also tries Aachen, D-51 00 Aachen, Fed. Rep. of cata; C. Zanco, Univ. di Milano. to broaden the views of attendees to Germany; tel 49-241-80 3951; email: ORGANIZING COMMITTE: Univ. Fed give the ability to understand the com Earn/Bitnet: ezO l Opm@dacth 11. erico II di Napoli: P. de Lucia, V. plex problem of hypersonic flight. The 5-6. Math-History Conference, LaCrosse, Aversa, A. Basile, E. Guariglia. course should interest post-graduate WI. (Jan. 1990, p. 60) INFORMATION: Dipartimento di Mat students, designers and researchers. ematica e Applicazioni, Renato Cac ORGANIZING COMMITTEE: J. BaUmann, * 5-7. Workshop on Partial Differential cioppoli deii'Universita di Napoli, via Univ. of Aachen, FRG; R. Bee, CNES, Equations, Cornell Univ., Ithaca, NY. National Mezzocannone 8, 80134 Napoli, Italy. France; J.J. Bertin, SANDIA PROGRAM: The workshop is being Italy; Labs.; M. Borsi, AIT-GAD, held in honor of Lawrence E. Payne's l 0-0ctober 5. School on Qualitative Aachen, K.-H. Brakhage, Univ. of 25 years as a professor in Cornell Aspects and Applications of Nonlinear France; FRG; A. Dervieux, INRIA, University's Dept. of Math. It will Evolution Equations, International Centre Glowin C. Dujarric, ESA, France; R. focus on several topics within the for Theoretical Physics, Trieste, Italy. Goodrich, ski, Univ. of Houston; W. general area of partial differential (MayjJun. 1989, p. 602) NASA; AGARD/NASA; R. Graves, equations: non well-posed problems, FRG; 16-22. Risikotheorie, Oberwolfach, Fed H. Gronig, Univ. of Aachen, isoperimetric inequalities, and finite B. eral Republic of Germany. (Apr. 1989, E.H. Hirschel, MBB/GAMM,FRG; time blowup. R. Univ. p. 498) Holmes, NASA; Jeltsch, INVITED SPEAKERs: C. Bandle, Univ. 17-21. Atelier International de Theorie of Aachen, FRG; G. Koppenwallner, of Basil; J. Bell, Lawrence Livermore des Ensembles, Marseille, France. (Jan. DLR Gottingen, FRG; W. Kordulla, Labs.; J. Cannon, Lamar Univ.; A. DLR Gottingen, FRG; E. Krause,
332 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Meetings and Conferences
Carasso, National Institute of Stan 1990, p. 61) Computer Science to Biology, La Habana, dards and Technology; K. Gustafson, 29-November 2. Algorithme Parallele et Cuba. (Feb. 1990, p. 226) Univ. of Colorado; C. Horgan, Univ. Architectures Nouvelles, Marseille, France. of Virginia; R. Koops, Harriot Watt (Jan. 1990, p. 61) Univ.; H. Levine, Univ. of Iowa; G. * 29-November 2. The International Con November 1990 Philippin, Laval Univ., Quebec; M. ference "D-Modules and Microlocal Ge 2-3. Central Section Meeting of the Protter, Berkeley; D. Sather, Univ. ometry", Lisbon, Portugal. of Colorado; B. Straughan, Univ. AMS, University of North Texas, Den of Glasgow; H. Weinberger, Stanford PROGRAM: The conference is devoted ton, TX. Univ. to the study of systems of linear INFORMATION: W. Drady, AMS, P.O. INFORMATION: A. Schatz, Dept. of partial differential equations, analytic Box 6248, Providence, RI 02940. Math., Cornell Univ., 303 White Hall, singularities, microlocal geometry, and Ithaca, NY 14853; 607-255-2318; related topics. 4-10. Wahrscheinlichkeitsma6e auf Grup schatz@mssun 7 .msi.cornell.edu. SCIENTIFIC COMMITTEE: T.M. Fer pen, Oberwolfach, Federal Republic of nandes (CMAF and Univ. of Lis Germany. (Oct. 1989, p. 1098) 7-13. Arbeitsgemeinschaft Mit Aktuellem bon), M. Kashiwara (RIMS, Univ. of 5-7. Second SIAM Confernce on Linear Thema, Oberwolfach, Federal Republic Kyoto), P. Schapira (Univ. of Paris Algebra in Signals, Systems & Controls, of Germany. (Apr. 1989, p. 498) Nord). San Francisco, CA. (Sep. 1989, p. 920) 8-12. Congres Franco-Sovietique de Pro INVITED SPEAKERS: E. Andronikof * 9-11. Third Annual Conference on Tech grammation Mathematique, Marseille, (Univ. Paris-Nord, France), D. Bar nology in Collegiate Mathematics, The France. (Jan. 1990, p. 60) let (Univ. Nancy, France), E. Bjork Ohio State Univ., Columbus, OH. 14-20. Geometrie, Oberwolfach, Fed (Univ. Stockholm, Sweden), J.M. Bony eral Republic of Germany. (Apr. 1989, (Ecole Polytechnique, Paris, France), PROGRAM: Conference runs from Fri p. 498) F. Castro (Univ. Sevilha, Spain), day morning, 11/9/90 through Sun day afternoon, 11/11/90. Advanced 15-19. Modeles pour L'Analyse des Don D'Agnolo (Univ. Paris-Nord, France), registration is advised. nees Multidimensionnelles, Marseille, L. Hormander (Univ. Lund, Sweden), CALL FOR PAPERs: To give a short France. (Jan. 1990, p. 60) Y. St. Laurent (CNRS, Univ. Greno ble, France), G. Lebeau (Univ. Or talk, please contact the organizers Tercer Congreso Nacional de 15-19. say, France), F. Loeser (Univ. Paris and send a one page abstract before (Feb. Matematicas, San Jose, Costa Rica. VI, France), B. Malgrange (Univ. September I, 1990. 1990, p. 225) Grenoble, France), L. Narvaez (Univ. INFORMATION: F. Demana and B. 21-22. Eastern Section, University of Sevilha, Spain), 0. Neto (Univ. Lis Waits, 1990 Technology Conference, Massachusetts at Amherst, Amherst, MA. boa, Portugal), T. Oshima (Univ. The Ohio State Univ., Math. Dept., INFORMATION: W. Drady, American Tokyo, Japan), R. Rodrigues (Univ. 231 W. 18th Ave., Columbus, OH Mathematical Society, P.O. Box 6248, Nova, Portugal), C. Sabbah (CNRS, 43210. Ecole Polytechnique, Paris, France), Providence, RI 02940. 12-16. Supercomputing '90, New York, M. Saito (Univ. Kyoto, Japan), J.P. NY. (Sep. 1989, p. 920) 21-27. Mathematische Methoden In Der Schneiders (Univ. Liege, Belgium), J. Robotik, Oberwolfach, Federal Republic Sjonstrand (Univ. Orsay, France), D. 12-16. Workshop on Representations of Germany. (Apr. 1989, p. 498) Struppa (Univ. George Mason, USA), of Reductive Groups over Finite Fields, 21-27. Arithmetik der Korper, Oberwol Trepreau (Univ. Paris VI, France), Mathematical Sciences Research Insti fach, Federal Republic of Germany. (Oct. Van Doom (Univ. Katholieke, Ni tute, Berkeley, CA. (Jan. 1990, p. 61) 1989, p. 1098) jmegen, The Netherlands), Van den 18-24. Komplexitiitstheorie, Oberwol 21-27. International Functional Analysis Essen (Univ. Katholieke, Nijmegen, fach, Federal Republic of Germany. (Apr. Meeting on the Occasion of the Sixti The Netherlands), M. Vergne (CNRS, 1989, p. 498) eth Birthday of Professor M. Valdivia, Ecole Normale Superieure, France), J. 25-December 1. Stochastische Approx Peiiiscola, Spain. (Oct. 1989, p. 1098) Zampieri (Univ. Padova, Italy). imation Und Optimierungsprobleme In 22-25. Fifth Jerusalem Conference on In INFORMATION: International Confer Der Statistik, Oberwolfach, Federal Re formation Technology (JCIT-5), Jerusalem, ence "D-modules and microlocal ge public of Germany. (Apr. 1989, p. 498) Israel. (Jan. 1990, p. 60) ometry", T. M. Fernandes, CMAF, 25-December l. Lineare Modelle und Complexo II, Av. Prof. Gama Pinto, 26-27. Statistical Mechanics at the 45th Multivariate Statistische Verfahren, Ober 2, 1699 Lisboa Codex, Portugal; tele Parallel: Fourth Annual Meeting, Univer wolfach, Federal Republic of Germany. fax (351 1) 765622; email bitnet: site de Montreal, Canada. (Feb. 1990, (Jul./ Aug. 1989, p. 769) tmf@ptifm; tel 773338/773325. p. 226) 28-November 3. Mathematical Eco 29-November 16. Workshop on Mathe nomics, Oberwolfach, Federal Republic matical Ecology, Trieste, Italy. (Jan. 1990, December 1990 of Germany. (Apr. 1989, p. 498) p. 61) 2-8. Multigrid Methods, Oberwolfach, 29-November 2. Trieste Conference on 31-November 3. Latinamerican Semi Federal Republic of Germany. (Apr. Integrable Systems, Trieste, Italy. (Jan. nar on Applications of Mathematics and 1989, p. 498)
MARCH 1990, VOLUME 37, NUMBER 3 333 Meetings and Conferences
3-5. First International Symposium on University, Princeton, NJ. Uncertainty and Analysis: Fuzzy Reason February 1991 PuRPOSE: This conference will honor Methods and Risk Man ing, Probabilistic E.M. Stein on the occasion of his six agement, College Park, Maryland. (Oct. 25-March 1. IEEE Computer Society tieth birthday. It will focus on topics p. 1098) COMPCON Spring '91, San Francisco, 1989, from harmonic analysis and related CA. (Jan. 1990, p. 62) 3-7. Sixteenth Australasian Conference areas. on Combinatorial Mathematics and Com ORGANIZING COMMITTEE: C. Feffer binatorial Computing, Palmerston North, March 1991 man, R. Fefferman, S. Wainger. New Zealand. (Feb. 1990, p. 226) INVITED SPEAKERs: W. Beckner, J. 3-7. SINO-JAPANESE Joint Seminar * 21-23. Sixth S.E.A. Meeting, South Bourgain, A.P. Calderon, M. Christ, on Nonlinear PDEs with Emphasis on eastern Approximation Theorists Annual R. Coifman, C. Fefferman, R. Fef Reaction-Diffusion Aspects., Taipei, Tai Meeting, Memphis State Univ., Mem ferman, D. Jerison, P. Jones, J.L. wan. (Jan. 1990, p. 61) phis, TN. Journe, C. Kenig, Y. Meyer, A. Nagel, 3-7. Workshop on General Group Repre INFORMATION: G. Anastassiou, Dept. D.H. Phong, S. Wainger, G. Weiss, T. sentation Theory, Mathematical Sciences of Math. Sciences, Memphis State Wolff. Research Institute, Berkeley, CA. (Jan. Univ., Memphis, TN 38152. INFORMATION: S. Kenney, Math. Dept., 1990, p. 61) Princeton Univ., Princeton, NJ 08544. 9-15. Allgemeine Ungleichungen, Ober * 22-23. Southeastern Section, University wolfach, Federal Republic of Germany. of South Florida, Tampa, FL. (Apr. 1989, p. 498) INFORMATION: W. Drady, American 16-22. Mathematische Logik, Oberwol Mathematical Society, P.O. Box 6248, fach, Federal RepublicofGermany. (Apr. Providence, RI 02940. 1989, p. 498) June 1991 Conference on Par 25-January 1. Lineare Modelle Und Mul * 22-24. Fifth SIAM *June 1991. Third IMACS International tivariate Statistische Verfahren, Oberwol allel Processing for Scientific Computing, Symposium on Computational Acoustics, fach, Federal Republic of Germany. (Apr. Houston, TX. Harvard Univ., Cambridge, MA. 1989, p. 498) ORGANIZER: D. Sorensen, Rice Univ. CHAIRMEN: D. Lee (Naval Under INFORMATION: SIAM, Conference Co water Systems Center), A. Robin ordinator, Dept. CCO 190, 3600 Uni son (Harvard Univ.), R. Vichnevetsky versity City Science Center, Philadel (Rutgers Univ.). * Spring 1991. IMACS International Sym phia, PA 19104-2688; tel 215-382- posium on Iterative Methods in Linear INFORMATION: D. Lee, Code 3122, 9800; Fax 215-386-7999; email: Naval Underwater Systems Center, Algebra, Brussels Free Univ., Brussels, [email protected]. Belgium. New London, CT 06320; tel 203-440- 4438. INFORMATION: R. Beauwens, Fac. des Sc. Appl., C.P. 165, Univ. Libre de May 1991 * 3-7. 1991 Annual Meeting of the Statisti Bruxelles, Ave. F.D. Roosevelt, 50, B- * May I June 1991. IMACS Workshop on cal Society of Canada, Toronto, Ontario, 1050 Brussels-BELGIUM; email: Decision Support Systems and Qualitative Canada. [email protected] or P. de Reasoning, Toulouse, France. INFORMATION: J.-A. Chapman, Local Groen, Dept. of Math. and Comp. Arrangements Chairperson, Henrietta Sci., Vrije Univ. Brussel, Pleinlaan, INFORMATION: L. Trave-Massuyes, Laboratoire d'Automatique et d'Ana Banting Breast Centre, Women's Col 2, B-1050 Brussels-BELGIUM; email: lege Hospital, 5th Floor, Burton Hall, z0030 1@bbrbfuO 1. bitnet. lyse des Systemes (LAAS), 7, Avenue du Colonel Roche, 31077 Toulouse 60 Grosvenor Street, Toronto, On Cedex, FRANCE; tel 61-33-52-00. tario M5S 1B2, Canada. * 7-10. IMACS Symposium on Mod- January 1991 elling and Simulation of Control Systems, Casablanca, Morocco. 7-10. Sixth Caribbean Conference in Combinatorics and Computing, Univer CHAIRMEN: P. Borne (Lille, France), sity of the West Indies, St. Augustine, A. El Moudni (Casablanca), S. Tzafes July 1991 Trinidad. (Jan. 1990, p. 61) tas (Athens, Greece). * 15-17. Fifth IFAC/IMACS Symposium 16-19. Joint Mathematics Meetings, INFORMATION: A. EL Moudni, Lab on Computer Aided Design in Control and San Francisco, CA. (including the an oratoire d'Automatique, Faculte des Engineering Systems, Swansea, UK. nual meetings of the AMS, AWM, MAA, Sciences, BP 5366-Maarif, Casablanca, INFORMATION: H.A. Barker, Dept. of and NAM) Morocco. Electrical and Electronic Engineering, INFORMATION: H. Daly, AMS, P.O. * 13-1 7. Conference in Harmonic Anal Univ. College of Swansea, Swansea, Box 6248, Providence, RI 02940. ysis in Honor of E.M. Stein, Princeton UK.
334 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY New AMS Publications
complementarity problem; Annegret Hoy and Hubert Schwetlick, COMPUTATIONAL SOLUTION OF Some superlinearly convergent methods for solving singular nonlinear equations; John K. Hunter, Numerical solutions of some nonlinear NONLINEAR SYSTEMS OF EQUATIONS dispersive wave equations; H. Th. Jongen, Parametric optimization: Eugene L. Allgower and Kurt Georg, Editors Critical points and local minima; R. Baker Kearfott, Interval arithmetic (Lectures in Applied Mathematics, Volume 26) techniques in the computational solution of nonlinear systems of equations: Introduction, examples, and comparisons; C. T. Kelley, Nonlinear equations arise in essentially every branch of Operator prolongation methods for nonlinear equations; Bruce N. modern science, engineering, and mathematics. However, in Lundberg, Aubrey B. Poore, and Bing Yang, Smooth penalty functions only a very few special cases is it possible to obtain useful and continuation methods for constrained optimization; S. McKay and solutions to nonlinear equations via analytical calculations. As J. W. Thomas, Application of the fast adaptive composite grid method a result, many scientists resort to computational methods. to nonlinear partial differential equations; Raymond Mejia, Interactive This book contains the proceedings of the Joint AMS-SIAM program for continuation of solutions of large systems of nonlinear Hans D. Mittelmann, Nonlinear parametrized equations: Summer Seminar, ··computational Solution of Nonlinear equations; New results for variational problems and inequalities; Alexander P. Systems of Equations;· held in July 1988 at Colorado State Morgan and Andrew J. Sommese, Generically nonsingular polynomial University. The aim of the book is to give a wide-ranging continuation; Alexander P. Morgan, Andrew J. Sommese, and survey of essentially all of the methods which comprise Charles W. Wampler, Polynomial continuation for mechanism design currently active areas of research in the computational problems; G. Russo, A Lagrangian method for collisional kinetic solution of systems of nonlinear equations. A number of equations; Renate Schaaf and Klaus Schmitt, On the number of ··entry-level"' survey papers were solicited, and a series of solutions of semilinear elliptic problems at resonance: Some numerical test problems has been collected in an appendix. Most of the experiments; Jiirgen Scheurle, Splitting of separatrices and chaos; articles are accessible to students who have had a course in Phillip H. Schmidt, PL methods for constructing a numerical implicit numerical analysis. function; Hubert Schwetlick, Nonstandard scaling matrices in trust region methods; Michael W. Smiley, Numerical determination of Contents breathers and forced oscillations of nonlinear wave equations; Min Sun, Eugene L. Allgower and Kurt Georg, Numerically stable homotopy Numerical solutions of singular stochastic control problems in bounded methods without an extra dimension; Giles Auchmuty, Duality intervals; W. C. Thacker, Large least-squares problems and the need algorithms for smooth unconstrained optimization; M. S. Berger, for automating the generation of adjoint codes; Homer F. Walker, Antidotes for nonintegrability of nonlinear systems: Quasi-periodic Newton-like methods for underdetermined systems; Y. Yomdin, Sard's motions; M. S. Berger, Bifurcation into folds of infinite dimension; theorem and its improved versions in numerical analysis; Tjalling J. Sharon L. Blish and James H. Curry, On the geometry of factorization Ypma, Finite difference approximation of sparse Jacobian matrices in algorithms; Klaus Bohmer, Defect corrections and mesh independence Newton-like methods; Jorge J. More, A collection of nonlinear model principle for operator equations and their discretizations; Klaus Bohmer problems. and Mei Zhen, On a numerical Lyapunov-Schmidt method; A. Castelo, 1980 Mathematics Subject Classifications: 65H1 0, 65K05, 65K1 0, of manifolds and its S. De Freitas and G. Tavares, PL approximation 65N10,65N20,65N25,65N30, 90C30 application to implicit ODEs; Thomas F. Coleman, On characterizations ISBN 0-8218-1131-2, LC 90-27, ISSN 0075-8485 of superlinear convergence for constrained optimization; Jeanne 784 pages (hardcover), March 1990 Duvallet, Computation of solutions of two-point boundary value Individual member $129, List price $215, problems by a simplicial homotopy algorithm; Richard E. Ewing, Institutional member $172 Computational methods for nonlinear systems of partial differential To order, please specify LAM/26N equations arising in contaminant transport in porous media; R. Fletcher, Low storage methods for unconstrained optimization; A. Galantai, Block ABS methods for nonlinear systems of algebraic equations; Sylvie AND TOPOLOGICAL Gelinas and Remi Vaillancourt, Application of Julia-Fatou iteration GEOMETRIC theory in dielectric spectroscopy; Kurt Georg, An introduction to PL INVARIANTS FOR ELLIPTIC OPERATORS algorithms; Kurt Georg and David Zachmann, Nonlinear convection Jerome Kaminker, Editor diffusion equations and Newton-/ike methods; Ronald B. Guenther (Contemporary Mathematics, Volume 105) and John W. Lee, Convergence of the Newton-Raphson method for boundary value problems of ordinary differential equations; Patrick T. This volume contains the proceedings of the AMS-IMS Harker and Jong-Shi Pang, A damped-Newton method for the linear SIAM Summer Research Conference on "Geometric and
Use the order form in the back of this issue or call 800-321-4AMS (800-321-4267) in the U.S. and Canada to use VISA or MasterCard.
MARCH 1990, VOLUME 37, NUMBER 3 335 New AMS Publications
Topological Invariants of Elliptic Operators," held in August volume is rich in results and replete with mathematical, logical, 1988 at Bowdoin College. Some of the themes covered at and computational problems. the conference and appearing in the articles are: the use Contents of more sophisticated asymptotic methods to obtain index Michael Beeson, Some theories conservative over intuitionistic theorems, the study of the .,., invariant and analytic torsion, arithmetic; Gianluigi Bellin, Ramsey interpreted: A parametric and index theory on open manifolds and foliated manifolds. version of Ramsey's theorem; Douglas K. Brown, Notions of closed The current state of noncommutative differential geometry, as subsets of a complete separable metric space in weak subsystems well as operator algebraic and K -theoretic methods, are also of second order arithmetic; Wilfried Buchholz and Wilfried Sieg, presented in several of the articles. A note on polynomial time computable arithmetic; Samuel R. Buss, This book will be useful to researchers in index theory, Axiomatizations and conservation results for fragments of bounded operator algebras, foliations, and mathematical physics. arithmetic; Peter G. Clote, A smash-based hierarchy between PTIME Topologists and geometers are also likely to find useful the and PSPACE; Solomon Feferman, Polymorphic typed lambda-calculi in a type-free axiomatic framework; Fernando Ferreira, Polynomial view the book provides of recent work in this area. In addition, time computable arithmetic; Chris Goad, Metaprogramming in SIL; because of the expository nature of several of the articles, it Kostas Hatzikiriakou and Stephen G. Simpson, WKLo and orderings will be useful to graduate students interested in working in of countable Abelian groups; Jeffry L. Hirst, Marriage theorems and these areas. reverse mathematics; Daniel Leivant, Computationally based set Contents existence principles; Ken McAloon, Hierarchy results for MIXED-TIME; Jeff Fox and Jonathan Bloch, Asymptotic pseudodifferential operators A. Nerode and J. B. Remmel, Polynomial time equivalence types; Frank Pfenning, Program development through proof transformation; and index theory; James Heitsch and Conner Lazarov, A Lefschetz theorem on open manifolds; Steven Hurder, Eta invariants and the odd Rick Statman, Some models of Scott's theory L C F based on a notion of rate of convergence; Gaisi Takeuti, Sharply bounded arithmetic and index theorem for coverings; Conner Lazarov and James Heitsch, the function 1; Xiaokang Yu, Radon-Nikodym Theorem is equivalent The Lefschetz fixed point theorem for foliated manifolds; Varghese a~ to arithmetical comprehension. Mathai and Alan L. Carey, L 2-acyclicity and L 2-torsion invariants; Hitoshi Moriyoshi, Secondary characteristic numbers and locally free 1980 Mathematics Subject Classifications: 03, 68 5 1 actions; Werner Muller, L 2-index theory, eta invariants and values ISBN 0-8218-5110-1, LC 90-40, ISSN 0271-4132 312 pages (softcover), March 1990 of L-functions; Marc Rieffel, Non-commutative tori-A case study of Individual member $22, List price $37, non-commutative differentiable manifolds; Mel Rothenberg, Analytic Institutional member $30 and combinatorial torsion; Michael Taylor, Pseudodifferential operators To order, please specify CONM/106N and K-homology, II; Phillipe Tondeur and Jesus A. Alvarez Lopez, The heat flow along the leaves of a Riemannian foliation; Shmuel Weinberger, Aspects of the Novikov conjecture. 1980 Mathematics Subject Classifications: 46L80, 58G12 POINTS DE NASH DES ENSEMBLES ISBN 0-8218-5112-8, LC 89-18660, ISSN 0271-4132 SO US-ANALYTIQUES 312 pages (softcover), March 1990 Individual member $22, List price $37, Wieslaw Pawtucki Institutional member $30 (Memoirs of the AMS, Number 425) To order, please specify CONM/1 05N Directed at researchers in analytic geometry, this book focuses on the geometry of subanalytic sets. By definition, a subanalytic set on a real manifold is the image of a PROCEEDINGS OF THE WORKSHOP ON relatively compact semianalytic set under an analytic map; LOGIC AND COMPUTATION a semianalytic set is one which can be locally described by Wilfried Sieg, Editor analytic equalities and inequalities. The author's main result is (Contemporary Mathematics, Volume 106) that, given a subanalytic set, the points at which the set is not semianalytic forms a subanalytic set. In fact, the author also This volume contains the proceedings of the Workshop on establishes the more general result of the subanalyticity of Logic and Computation, held in July 1987 at Carnegie-Mellon the set of Nash points of the original set. The proof involves University. The focus of the workshop was the refined such classical tools as triangulation, Puiseux parametrization, interaction between mathematics and computation theory, one a Bertini theorem, as well as some.less standard techniques. of the most fascinating and potentially fruitful developments in logic. The importance of this interaction lies not only in the Contents emergence of the computer as a powerful tool in mathematics Theoremes principaux; Reduction au cas d'une hypersurface; Modifications des theoremes principaux dans le cas d'une research, but also in the various attempts to carry out hypersurface; 0.-varietes speciales et leurs eclatements; Theoremes de significant parts of mathematics in computationally informative Gabrielov; Achevement de Ia demonstration. ways. The proceedings pursue three complementary aims: to 1980 Mathematics Subject Classifications: 32B20; 32B30, 32C40, 32020, 32C45 develop parts of mathematics under minimal set-theoretic ISBN 0-8218"2430-9, LC 89-18471, ISSN 0065-9266 assumptions; to provide formal frameworks suitable for 84 pages (softcover), March 1990 computer implementation; and to extract, from formal proofs, Individual member $10, List price $16, mathematical and computational information. Aimed at Institutional member $13 logicians, mathematicians, and computer scientists, this To order, please specify MEM0/425N
336 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY New AMS Publications
author defines geometric derivatives on the set of links and A LATTICE OF CHAPTERS OF uses these to define higher-order linking numbers, which are MATHEMATICS: INTERPRETATIONS seen to be ··pieces·· of Massey products and to have more geometric content. BETWEEN THEOREMS His investigation leads to algorithmic realization results, Jan Mycielski, Pavel Pudlak, and calculational methods, and many new examples, including Alan S. Stern the first examples with trivial ji.-invariants which are not (Memoirs of the AMS, Number 426) concordant to boundary links, as well as the first examples with trivial Alexander's module but non-trivial ji.-invariants. Directed at mathematical logicians and philosophers, this There are also new connections with geometric equivalence book will provide readers with a theory of a relationship relations and with K. Orr's homotopy invariants. of interpretability between theories. The authors define chapters of mathematics to be equivalence classes of first Contents order theories relative to interpretability of finite parts of one Higher-order linking numbers; Derived links, derived linkings, and theory onto the other, and vice versa. This relation induces surface systems; Derived links and the lower central series; Computing the structure of a distributive alge.braic lattice in the set of G/Gn: The Geometric Rewrite; Calculating Milnor's ji.-invariants using those chapters. Some properties of theories, such as finite the Geometric Rewrite; Formal Massey products and surface systems; Antiderivatives and the realization theorem; The effect of Bing-doubling axiomatizability, completeness, and a new property called and band-summing on the ji.-invariants; Relations to cobordism and connectedness, correspond to natural algebraic properties Orr's invariants; Cobordism classification and realization; Questions of their chapters in this lattice. Those properties and the and problems. structure of the lattice are the main topics of the book. One of the useful aspects of the concept of a chapter is that it is 1980 Mathematics Subject Classifications: 57M25; 55S30, 57045, 20F14, 20F32 closer to mathematical practice than the classical concept of ISBN 0-8218-2489-9, LC 89-18593, ISSN 0065-9266 first order theory. 88 pages (softcover), March 1990 Individual member $10, List price $16, Contents Institutional member $13 Definitions and generalities; Elementary results about LC; The most To order, please specify MEM0/427N significant theorems about LC; Cardinalities, chains and antichains; General results and the structure of LC; Results about special theories; Proof of Theorem 6.12. 1980 Mathematics Subject Classifications: 03B10; 03C07 ELEMENTS OF THE THEORY OF ELLIPTIC ISBN 0-8218-2488-0, LC 89-18632, ISSN 0065-9266 FUNCTIONS 76 pages (softcover), March 1990 Individual member $10, List price $16, N. I. Akhiezer Institutional member $13 (Translations of Mathematical Monographs, Volume 79) To order, please specify MEM0/426N This book contains a systematic presentation of the theory of elliptic functions and some of its applications. A translation from the Russian, this book is intended primarily DERIVATIVES OF LINKS: MILNOR'S for engineers who work with elliptic functions. It should be CONCORDANCE INVARIANTS AND accessible to those with background in the elements of mathematical analysis and the theory of functions contained in MASSEY'S PRODUCTS approximately the first two years of mathematics and physics Tim D. Cochran courses at the college level. (Memoirs of the AMS, Number 427) Contents The equivalence relation of concordance on the set of Chapter I. General theorems about elliptic functions; Chapter II. links of circles in 3-space arises naturally in attempts to Modular functions; Chapter Ill. The Weierstrass functions; Chapter resolve singularities of immersed 2-spheres in a 4-dimensional IV. Theta functions; Chapter V. The Jacobi functions; Chapter VI. manifold. In fact, certain unsolved link concordance problems Transformation of elliptic functions; Chapter VII. Additional facts are exactly the obstructions to successfully performing about elliptic integrals; Chapter VIII. Some conformal mappings; surgery on 4-manifolds as the higher-dimensional theory Chapter IX. Extremal properties of fractions to which a transformation predicts. of elliptic functions reduces; Chapter X. Generalization of Tchebycheff polynomials; Chapter XI. Various supplements and applications. Directed at low-dimensional topologists and knot theorists, this book investigates and clarifies higher-order cohomology 1980 Mathematics Subject Classifications: 33-01, 33A25; 11 F03, operations (Massey products) on the complements of links. 14K20,30C20, 14K07,33A30,32H25,33A65,65A05 LC 89-18452, ISSN 0065-9282 essentially equivalent ISBN 0-8218-4532-2, These concordance invariants are 248 pages (hardcover), March 1990 to Milnor's ji.-invariants, which detect whether or not the Individual member $56, List price $93, longitudes of a link lie in the nth term of the lower-central Institutional member $74 series of the fundamental group of the link complement. The To order, please specify MMON0/79N
MARCH 1990, VOLUME 37, NUMBER 3 337 New AMS Publications
The following publication originally appeared in the December THEORY AND APPLICATIONS OF Notices. It is being reprinted here with the correct title. DIFFERENTIABLE FUNCTIONS OF SEVERAL VARIABLES. XII S. M. Nikol'skii, Editor THE MEROMORPHIC CONTINUATION AND (Proceedings of the Steklov Institute, Volume 181) FUNCTIONAL EQUATIONS OF CUSPIDAL This collection of papers is devoted to various problems in EISENSTEIN SERIES FOR MAXIMAL the theory of differentiable functions of several variables and CUSPIDAL SUBGROUPS their application to partial differential equations. Among the topics addressed are: imbeddings and Shek-Tung Wong (Memoirs of the AMS, Number 423) equivalent normings of various spaces of smooth functions of several variables defined on subsets of Euclidean spaces; Eisenstein series are fundamental objects in the theory constructive properties of various spaces of differentiable of automorphic forms, which has important applications in functions; convergence of multiple Fourier series; estimates analytic number theory. There are a number of approaches of bilinear approximations of periodic functions and estimates for establishing the meromorphic continuation and functional of widths; variational problems on intervals and solutions of equations of Eisenstein series, with the ideas of Selberg being the hydrodynamic system for a viscous fluid; high precision especially influential. algorithms for approximate conformal mappings of simply This book presents a development, based on an idea of connected and doubly connected regions. Selberg, of the analytic continuation of Eisenstein series by Contents means of integral operators. Starting with a brief account of of automorphic 0. V. Besov, lmbeddings of an anisotropic Sobo/ev space for a domain the role of Eisenstein series in the theory with the flexible horn condition; Ya. S. Bugrov, Imbedding theorems forms, the author obtains the meromorphic continuation and convergence of multiple Fourier series; V.I. Burenkov, A theorem and functional equations of cuspidal Eisenstein series on iterated norms for Nikol skii-Besov spaces, and its application; E. for the maximal cuspidal subgroups of a reductive real A. Volkov, High-precision practical results in conformal mappings algebraic group with an arithmetic subgroup. The book's most of simply connected and doubly connected domains by the block significant contribution is the way it lays out the formalism for method; M. L. Gol'dman, Imbedding with different metrics for spaces Selberg's approach in the context of an algebraic group and of Calder6n type; G. A. Kalyabin, A characterization of spaces of an arithmetic subgroup. The main line of argument requires Besov-Lizorkin-Triebel type with the help of generalized differences; only knowledge of elementary functional analysis and complex V.I. Kolyada, On relations between moduli of continuity in different analysis. metrics; L. D. Kudryavtsev, Variational problems with free endpoints on bounded and unbounded intervals; G. G. Magaril-111yaev, Trigonometric Contents widths of Sobolev classes of functions on Rn; V. N. Maslennikova and The definition and basic properties of the Eisenstein series A. V. Glushko, Localization theorems of Tauberian type and the rate of The compact operators decay of a solution of the system for the hydrodynamics of a viscous Fredholm equations compressible fluid; N. V. Miroshin, On the maximal space of Vekua and Analytic continuation spaces close to it; K. T. Mynbaev, The anisotropic Strichartz seminorm Functional equations and capacities; S. M. Nikol' skii and P. I. Lizorkin, A new approach to The general case of several cusps the theory of the function spaces on the sphere; Yu. S. Nikol' skii, 8~, 8 1980 Mathematics Subject Classification: 11 Integral estimates of differentiable functions in weighted anisotropic ISBN 0-8218-2486-4, LC 89-28399, ISSN 0065-9266 spaces on unbounded domains; M. 0. Otelbaev, On coercive estimates 224 pages (softcover), January 1990 of solutions of difference equations; V. N. Temlyakov, Estimates of Individual member $15, List price $25, best bilinear approximations of periodic functions. Institutional member $20 To order, please specify MEM0/423N 1980 Mathematics Subject Classifications: 30C20, 30C30, 30G20, 31B15,39A12,41A30,41A46,42B05,45E35,46E30,46E35,49C05, 76N10, 76U05;26B05,34B25,34E99, 35A22, 35A35,35A40, 35B40, 35B65,35E99,35J05,42A10,42A20,45E05,47B39,65E05 ISBN 0-8218-3131-3, LC 68-1677, ISSN 0081-5438 304 pages (hardcover), March 1990 Individual member $85, List price $141, Institutional member $113 To order, please specify STEKL0/181N
338 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY AMS Reports and Communications
Recent Appointments Monitor Problems in Communica T. Jorgensen ( 1992), Barbara Lee tion; continuing members of the com Keyfitz ( 1991 ), Kenneth R. Meyer Committee members' terms of of mittee are Nancy Gubman, consul ( 1991 ), PaulS. Muhly ( 1990), George fice on standing committees expire tant, William H. Jaco (ex officio), C. Papanicolaou ( 1991), Louis J. on December 31 of the year given Arthur M. Jaffe (1991), Richard G. Ratliff, Jr. ( 1991 ), Jonathan M. Rosen in parentheses following their Larson (1990), Paul G. Nevai (1991), berg (1991), James E. West (1991), names, unless otherwise specified. and Richard S. Palais ( 1990); and Warren J. Wong (1991); • Craig Huneke ( 1992), and Linda • Ronald L. Graham (1992) to Preiss Rothschild ( 1992), to the Con the Proceedings of Symposia in Ap The following ad hoc committees have temporary Mathematics Editorial plied Mathematics Editorial Commit been discharged by the Council with Committee; continuing members of tee; continuing members of the com thanks: the committee are Richard W. Beals mittee are Alexandre Chorin ( 1992), Committee to Review Procedures ( 1991 ), Sylvain E. Cappell ( 1991 ), chair, and Bjorn E. J. Dahlberg of the Council in Considering Issues, Jonathan Goodman ( 1990), Jan My (1991); Committee on AMS Publications in cielski ( 1990), and Michael E. Taylor • Avner D. Ash (1990), James Applied Mathematics, Committee on (1991); W. Cannon (1993), Burgess Davis Election Scheduling, Committee on • B. A. Taylor ( 1992) to the Math (1992), Judith D. Sally (1993), and Electronic Exchange of Information ematical Reviews Editorial Commit Masamichi Take saki ( 199 3) to the (CEEI), Committee on Vending Soft tee; he will also serve as chair. Con Transactions and Memoirs Editorial ware, Committee on Applied Mathe tinuing members of the committee Committee; David J. Saltman ( 1990) matics, Committee on Fellowship Pol are Leonard D. Berkovitz (1991), has been appointed chair. Continuing icy, Committee on NCTM Standards, John L. Selfridge ( 1991 ), and Hans members of the committee are James Committee to Recommend Winners F. Weinberger ( 1990); E. Baumgartner (1991), Ralph L. Co ofPrizes for Automatic Theorem Prov • Victor W. Guill em in ( 1992) and hen ( 1990), Eugene B. Fabes ( 1992), ing. Marc A. Rieffel ( 1991), to the Mathe Jerry L. Kazdan ( 1990), Roger D. The following individuals have been matical Surveys and Monographs Ed Nussbaum ( 1991), Carl Pomerance elected by the Council upon recom itorial Committee; continuing mem ( 1991 ), and Audrey A. Terras ( 1991 ). mendation of the Editorial Boards bers of the committee are David S. M. Susan Montgomery, then chair Committee: Kinderlehrer ( 1991) and M. Susan of the Board of Trustees, has ap • M. Salah Baouendi ( 1992) as Montgomery ( 1990), chair; pointed Frederick W. Gehring (ex the Society's Representatives to the • Walter Gautschi ( 1992) to the officio) to the Investment Committee. American Journal of Mathematics; Mathematics of Computation Edito Continuing members of the commit the continuing member of the com rial Committee; continuing members tee are Steve Armentrout (ex officio), mittee is David Gieseker ( 1991); of the committee are Donald Gold and Franklin P. Peterson (ex officio), • Richard S. Palais ( 1992) to the farb ( 1990) and Andrew M. Odlyzko chair. Bulletin Editorial Committee; contin (1991); President William Browder has uing members of the committee are • Lawrence F. Gray ( 1993), Jeff appointed the following individuals: Roger E. Howe ( 1990), and Murray Kahn ( 1993), and Franklin D. Tall • Frederick J. Almgren, Jr., Jerry H. Protter (1991), chair; ( 199 3) to the Proceedings Editorial L. Bona, Hermann Flaschka, Barbara • H. Jerome Keisler ( 1992) to Committee; continuing members of Keyfitz, David Mumford, Ivar Stak the Colloquium Editorial Committee; the committee are William W. Adams gold, and Hans F. Weinberger to an continuing members of the commit ( 1992), J. Marshall Ash ( 1992), Mau ad hoc Committee on Applications tee are Raoul H. Bott ( 1990), and rice Auslander ( 1992), Andreas Blass of Mathematics; Professor Bona will Charles L. Fefferman ( 1991 ); (1992), Frederick R. Cohen (1991), serve as chair; • Jon Barwise ( 1992), and Judy William J. Davis ( 1991 ), chair, Clif • Louis Nirenberg ( 1991) to the Green ( 1992) to the Committee to ford J. Earle, Jr. (1992), Palle E. Committee on National Awards and
MARCH 1990, VOLUME 37, NUMBER 3 339 AMS Reports and Communications
Public Representation; continuing appointed Joel Spencer ( 1992) to the The Council continued to con members of the committee are AMS-SIAM Committee on Applied sider election matters. It agreed to Michael Artin (ex officio), William Mathematics. Other members of the send to the membership in the next Browder (ex officio), chair, and committee are James M. Hyman (Fall 1990) election an amendment Robert Fossum (ex officio); (1990), Lawrence A. Shepp (1991), to the Bylaws that changes the term • Nicholas Katz ( 1993), and Fran Gilbert Strang ( 1991 ), and Robert F. of office for the Vice-Presidents from cois Treves (1993) to the Commit Warming ( 1990). two to three years. Another effect tee on Summer Institutes and Special Presidents lvar Stakgold (SIAM), of this proposed amendment is that Symposia; Raghavan Narasimhan Stuart Kauffman (SMB), and William there will be only one Vice-President ( 1991) has been appointed chair. Browder (AMS) have appointed James elected each year. It agreed to con Continuing members of the commit W. Curran ( 1993), Marcus W. Feld sider at its April 1990 meeting a pro tee are Barbara Lee Keyfitz ( 1992), man ( 1991), and Eric S. Lander posed amendment that would limit Haynes R. Miller ( 1991), and Brian ( 1993) to the AMS-SIAM-SMB Com to five the number of consecutive two Parshall ( 1992). Terms expire on mittee on Mathematics in the Life year terms a Treasurer or Associate February 28; Sciences. Marc Mangel ( 1992) has Treasurer could serve. It asked that • Sue Goodman (AMS, 1992) been appointed chair. Continuing biographical information and state to the AMS-ASA-IMS-MAA-NCTM members of the committee are Jack ments of candidates appear in No SIAM Committee on Women in the D. Cowan (1991) and James Murray tices at least two weeks before ballots Mathematical Sciences; other mem ( 1992). are mailed. Regarding this, the Coun bers of the committee are Mar cil has suggested that a "Nominator" sha J. Berger (SIAM, 1992), Grace The Council Meeting be selected for each candidate for M. Burton (NCTM, 1990), Marjorie in Louisville President( -Elect) to write an article M. Enneking (NCTM, 1989), Nancy The Council met at 2:00 p.m. on for Notices about the candidate. It Flournoy (IMS, 1992), Susan Geller 16 January 1990 in the Grand Ball also raised to 200 words the "limit" (AMS, 1991 ), chair, Mary Hessel room North of the Hyatt Regency on statements by candidates. grave (MAA, 1991 ), Patricia A. Ja Louisville Hotel. President Browder The Council once again consid cobs (IMS, 1990), Patricia Kenschaft presided. ered the policy of publishing re (A WM), Jeanne W. Kerr (AMS, 1992), The Council received the report sponses to book reviews in the Bul Betty K. Lichtenberg (NCTM, 1989), of the Tellers for the 1989 Election. letin. A policy proposed by the Edito Edith Luchins (MAA, 1991), Joyce (See the following announcement in rial Boards Committee was returned R. McLaughlin (SIAM, 1990), Anne this section.) It received the report to the committee for reconsideration. Parkhurst (ASA), Magda Peli of the Teller for the Election to The Council gratefully accepted grad (IMS, 1991 ), Linda R. Petzold the Nominating Committee and for a contribution from Professor Joan (SIAM, 1992), Frances Rosamond the Election to the Editorial Boards Birman, the income from which will (MAA, 1992), M. Beth Ruskai (AMS, Committee. The new members of the be used to fund a biennial award to 1992), and Alice T. Schafer (MAA, Nominating Committee are: honor the memory of Ruth Lyttle 1991). NCTM members' terms ex Barbara Lee Keyfitz Satter. The prize is to be for an pire on April 1 of the year given. Ray Kunze outstanding contribution to research Presidents Lida K. Barrett (MAA) Robert F. Williams in mathematics during the past five and William Browder (AMS) have The new members of the Editorial years and is to be awarded to a appointed: Boards Committee are: woman mathematician. • Newman Fisher to the AMS Linda Keen The Council agreed to recom MAA Arrangements Committee for Barry Simon mend a Bylaw amendment that would the San Francisco Meeting and as The Council received reports from allow Emeritus Members to receive chair. Other members of the com many committees of the Society, the Bulletin as a privilege of mem mittee are Gerald Alexanderson (ex most of them in written form. bership. officio), William H. Jaco (ex officio), It elected members to several ed Finally, the Council passed two and Andy Roy Magid (ex officio). itorial boards upon recommendation resolutions of congratulations, one • Leonard Gillman, Uta C. Merz from its Editorial Boards Commit to the Mathematische Gesellschaft bach, Everett Pitcher, and Sanford tee. These elections are reported in in Hamburg on the occasion of its L. Segal to the AMS-MAA Joint the "Recent Appointments" section. 300th Anniversary and one to the Archives Committee. It agreed with the Board of Trustees Deutsche Mathematiker Vereinigung Presidents lvar Stakgold (SIAM) to establish a new book series "Grad on the occasion of its 1OOth Anniver and William Browder (AMS) have uate Texts". sary.
340 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY AMS Reports and Communications
The Council adjourned at 7:06 Andy Roy Magid Proceedings Editorial Committee p.m. Lance W. Small William J. Davis, Chair Treasurer: Representative, Board of Editors Robert M. Fossum Franklin P. Peterson of American Journal of Mathematics Secretary Associate Treasurer: M. Salah Baouendi Urbana, Illinois Steve Armentrout Science Policy Committee *One of these four is a voting Michael C. Reed, Chair member at each meeting. Transactions and Memoirs Election Results of 1989 Editorial Committee The newly elected Vice-Presidents Members-at-Large: David J. Saltman, Chair of the Society are Lenore Blum Jonathan L. Alperin and Dennis P. Sullivan. The newly Sheldon Axler Trustees for 1990 elected Members-at-Large of the Joan S. Birman Steve Armentrout Council are Sheldon Axler, Shing Fan R. K. Chung William Browder Tung Yau, Joan S. Birman, Carl Charles Herbert Clemens Frederick W. Gehring Pomerance, and Charles Herbert Lawrence J. Corwin Ronald L. Graham Clemens. The newly elected Trustee Richard K. Guy M. Susan Montgomery is John C. Polking. Rhonda J. Hughes Franklin P. Peterson All candidates in noncontested Robion C. Kirby John C. Polking elections were elected to their re Irwin Kra Paul Sally, Jr. spective offices. Albert Marden The candidates elected to the Carl Pomerance The Business Meeting Nominating Committee for 1990 are Michael C. Reed in Louisville Barbara Lee Keyfitz, Ray A. Kunze, Hugo Rossi The Business Meeting of 19 January and Robert F. Williams. Harold M. Stark 1990 began about 4:55 and followed The candidates elected to the Ed William P. Thurston immediately upon the award of the itorial Boards Committee for 1990 Shing-Tung Yau 1990 Cole Prize in Algebra and the are Linda Keen and Barry Simon. 1990 Award for Distinguished Public The composition of the Council Service. President Browder presided. for 1990 follows. Representatives of Committees The Secretary reported that the Bulletin Editorial Committee Society had about 27,000 members Murray H. Protter, Chair at the end of 1989, that the finan Council for 1990 Colloquium Editorial Committee cial picture was bright, and that the President: Raoul H. Bott, Chair Council met and had acted upon William Browder Committee to Monitor Problems various items (see second announce President-Elect: in Communication ment in this section). The Secretary Michael Artin To be elected, Chair requested and received unanimous Vice-Presidents: Journal of the AMS approval of a resolution of thanks for Lenore Blum Michael Artin, Chair the the Local Arrangements Commit Sun-Yung Alice Chang Mathematical Reviews tee. The meeting adjourned at about Dennis P. Sullivan Editorial Committee 5:10p.m. Secretary: B. A. Taylor, Chair After the business meeting, a Robert M. Fossum Mathematical Surveys panel discussed the role the Society Former Secretary: Editorial Committee should take in educational matters. Everett Pitcher M. Susan Montgomery, Chair Associate Secretaries:* Mathematics of Computation Robert M. Fossum Joseph A. Cima Editorial Committee Secretary W. Wistar Comfort Walter Gautschi, Chair Urbana, Illinois
MARCH 1990, VOLUME 37, NUMBER 3 341 Miscellaneous
Personal Items on October 16, 1989, at the age of the age of 78. He was a member of Eliot W. Collins has been promoted 81. He was a member of the Society the Society for 2 years. to Information Management Special for 43 years. Dis Maly, of Troy, NY, died on ist at AT&T in Piscataway, NJ. He Morris H. DeGroot, of Carnegie July 31, 1989, at the age of 78. He is also a Visiting Lecturer in Mathe Mellon University, died on Novem was a member of the Society for 43 matics at Rutgers University. ber 2, 1989, at the age of 58. He was years. Paul R. Halmos, of Santa Clara a member of the Society for 31 years. Adrienne S. Rayl, of New Orleans, University, has been awarded an hon (See the News and Announcements LA, died on November 27, 1989, at orary Doctor of Mathematics from section of this issue of Notices.) the age of 91. She was a member of the University of Waterloo and has Hubert W. Ellis, Retired Profes the Society for 51 years. been invited to give the Convocation sor of Queen's University, died on D. Wexler, of the Faculte Univer address at that Institution's Spring January 1, 1990, at the age of 71. He sitaire Notre-Dame de la Paix, died Convocation for Mathematics. was a member of the Society for 43 on May 27, 1989, at the age of 57. K. Brooks Reid has been ap years. He was a member of the Society for pointed Founding Faculty member Herbert Gross, of the University 12 years. and Professor of the new, twentieth of Zurich, died on October 29, 1989, Frantisek Wolf, Professor Emeri campus of California State Univer at the age of 53. He was a member tus of the University of California at sity, CSU San Marcos. of the Society for 27 years. Berkeley, died on August 12, 1989, William H. Reid, Professor Emer Mark G. Krein, of Odessa, at the age of 84. He was a member itus of The University of Chicago, is U.S.S.R., died on October 17, 1989, of the Society for 48 years. now a professor in the Department at the age of 82. He was a member of Mathematical Sciences at Indiana of the Society for 17 years. (See the Visiting Mathematicians Purdue University at Indianapolis. News and Announcements section of Boris N. Apanasov (Novosibirsk, this issue of Notices.) U.S.S.R.), Ohio State University, Deaths Edwin N. Lassettre, Professor February 1990 to April 1990, low Arthur Bernhart, Retired Professor Emeritus of Carnegie-Mellon Uni dimensional topology and geometry. of the University of Oklahoma, died versity, died on January 16, 1990, at GROUP ACTIONS AND INVARIANT THEORY A. Bialynicki-Birula, J. Carrell, P. Russell, and D. Snow, Editors (Conference Proceedings, Canadian Mathematical Society, Volume 10)
This volume contains the proceedings of a conference, 1980 Mathematics Subject Classifications: 14-02, 14L30, 1406, 2006; sponsored by the Canadian Mathematical Society, on 20G05, 14025 LC 89-17605 held in August, 1988 in ISBN 0-8218-6015-1, Group Actions and Invariant Theory, ISSN 0731-1036 Montreal. The conference was the third in a series bringing 240 pages ( softcover), September 1989 together researchers from North ~merica and Europe Individual member $20, List price $33, (particularly Poland}. The papers collected here will provide Institutional member $26 an overview of the state of the art of research in this area. The To order, please specify CMSAMS/10NA conference was primarily concerned with the geometric side of invariant theory, including explorations of the linearization All prices subject to change. Shipment will be made by surface. problem for reductive group actions on affine spaces (with For air delivery add, I st book $5, each additional book $3, max a counterexample given recently by J. Schwarz), spherical imum $100. Prepayment required. Order from American Math and complete symmetric varieties, reductive quotients, ematical Society, P.O. Box 1571, Annex Station, Providence, RI automorphisms of affine varieties, and homogeneous vector 02901-1571, or call toll free 800-321-4AMS (321-4267) in the bundles. U.S. and Canada to charge with VISA or MasterCard.
342 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Backlog of Mathematics Research Journals
Backlog. Information on the backlog of papers for revision and its publication may be much shorter than research journals, primarily those published in North is the case otherwise, so these figures are low to that America, is reported to the Providence Office by those extent. editorial boards which elect to participate. The fig The observations are made from the latest issue ures are an estimate of the number of printed pages published, before the deadline for this issue of Notices, which have been accepted, but are in excess of the from journals that have actually been received by number required to maintain copy editing and printing a subscriber in the Providence, Rhode Island, area; schedules. in some cases this may be two months later than Observed Waiting Time. The quartiles give a measure publication abroad. If the waiting time as defined above of normal dispersion. They do not include extremes is not given in the journal, if no new issue has been which may be misleading. Waiting times are measured received since the last survey, or if the latest issue is in months from receipt of manuscript in final form to for some reason obviously not typical, no times are publication of the issue. When a paper is revised, the given in this report and such cases are marked NA (not waiting time between an editor's receipt of the final available or not applicable).
Editor's Estimated Observed Waiting Approximate Time for Paper Time in Latest Number Number Backlog of Submitted Currently Published Issue Issues Pages Printed Pages to be Published (in Months) Journal per Year per Year 12/31/89 6/30/89 (in Months) Ql M 03
Acta Inform. 8 BOO 0 0 5 5 6 7 Aequationes Math. 6 640 193 100 NR 7 9 13 Alg. Groups Geom. 4 500 0 0 6 8 9 17 Algorithmica 4 576 103 120 16 21 23 28 Amer. J. Math. 6 1200 0 12-18 13 14 15 Ann. of Math. 6 1200 500 700 9 18 18 19 Ann. Probab. 4 1650 500 300 12-18 14 15 16 Ann. Sci. Ecole Norm. Sup. 4 650 0 47 15 9 10 11 Ann. Statist. 4 1750 650 225 18 12 13 15 Appl. Math. Letters 4 400 50 0 3 * Appl. Math. Optim. 6 672 180 11 10 11 ** 12 Arch. Hist. Exact Scis. 4 400 0 0 11 9 NA 12 Arch. Math. Logic 4 300 0 0 8 7 9 11 Arch. Rational Mech. Anal. 20 2000 0 0 10 10 12 13 Bull. Austral. Math. Soc. 6 1000 400 400 12 NA Canad. J. Math. 6 1152 200 0 8-10 9 14 14 Canad. Math. Bull. 4 512 512 614 18 14 17 19 Circuits Systems Signal Proc. 4 512 0 0 10 9 10 13 Comm. Algebra 12 3600 2123 1602 10 10 13 18 Comm. Math. Phys. 24 5184 0 0 8 8 9 11 Comm. Partial Diff. Equations 12 1600 NR 200 NR 4 4 10 Comp. Math. Appl. 24 2400 NR 1000 NR 12 12 13 Computing 8 768 180 280 8 9 10 12 Constr. Approx. 4 448 0 100 13 12 14 14
MARCH 1990, VOLUME 37, NUMBER 3 343 Research Journals Backlog
Editor's Estimated Observed Waiting Approximate Time for Paper Time in Latest Number Number Backlog of Submitted Currently Published Issue Issues Pages Printed Pages to be Published (in Months) Journal per Year per Year 12/31/89 6/30/89 (in Months) Ot M 03
Discrete Comput. Geom. 6 600 350 375 14 28 32 36 Duke Math. J. 6 1500 100 150 9 5 8 9 Houston J. Math. 4 600 NR 600 NR *** Illinois J. Math. 4 704 NR 897 NR 26 27t 29 IMA J. Appl. Math. 6 510 0 0 14 8 10 10 IMA J. Math. Appl. Med. Bioi. 4 350 80 0 6 NA IMA J. Math. Control Inform. 4 350-400 NR NR NR 8 12 13 IMA J. Numer. Anal. 4 600 100 100 8-16 9 11 13 Indiana Univ. Math. J. 4 1000 NR 80 NR 9 10 15 lnst. Hautes Etudes Sci. Publ. Math. 2 400 0 0 15 12 15 18 lnternat. J. Math. Math. Sci. 4 832 145 100 NR 16 19 26 Invent. Math. 12 2688 0 0 8 7 8 9 Israel J. Math. 12 1500 600 350 8 8 10 12 J. Algorithms 4 600 NR NR NR 14 22 26 J. Amer. Math. Soc. 4 1000 0 0 0 6 7 8 J. Amer. Statist. Assoc. 4 1200 0 NA 9 7 8 9 J. Appl. Math. Simulation 4 80 200 180 5-6 NA J. Assoc. Comput. Mach. 4 1000 NR 300 NR 9 11 13 J. Austral. Math. Soc. Ser. A 6 1100 500 600 18 19 21 24 J. Austral. Math. Soc. Ser. B 4 512 0 256 NR 10 12 13 J. Classification 2 300 NR 0 NR NA J. Complexity 4 500 150 NA 9-12 NA J. Comput. System Sci. 6 1200 50 200 12-16 NA J. Differential Geom. 6 1800 1600 1300 10-12 17 18 22 J. Integral Equations Appl. 4 600 0 0 8 * J. Math. Bioi. 6 720 0 0 7 6 6 9 J. Math. Phys. 12 3200 0 0 5 4 4** 5 J. Nigerian Math. Soc. 100 NR NR NR NA J. Operator Theory 4 800 100 0 15 17 19 21 J. Symbolic Logic 4 1344 0 100 15 13 15 17 Linear Algebra Appl. 16 4800 600 600 12 12 14** 14 Manuscripta Math. 16 1792 0 0 6 5 6 9 Math. Ann. 12 2304 0 0 12-13 8 10 11 Math. Comput. Modelling 16 1600 NR 500 NR 7 8** 9 Math. Comp. 4 1500 240 260 12 11 13 15 Math. Control Signals Sys. 4 400 NR 1000 NR NA Math. Oper. Res. 4 800 600 360 18 16 17 18 Math. Programming Ser. A 6 720 240 240 15 21 21 28 Math. Social Sci. 6 600 0 180 12 * Math. Systems Theory 4 256 0 0 9 6 NA 8 Math. z. 12 1824 0 0 13-14 12 13 15 Mem. Amer. Math. Soc. 6 2800 0 0 4 7 16 18 Michigan Math. J. 3 480 100 130 18 10 15 16 Monatsh. Math. 8 704 0 0 6 7 8 10 Numer. Funct. Anal. Optim. 10 1250 0 0 5 6 8 9 Numer. Math. 16 1664 0 0 5 8 9 11 Oper. Res. 6 1008 NR 420 NR 12 17 19 Pacific J. Math. 10tt 2000tt NR NR 14 14 23 24 Probab, Theor. Relat. Fields 12 1920 0 0 11 8 9 15 Proc. Amer. Math. Soc. 12 3432 0 572 10-12 11 12 16 Proc. London Math. Soc. 6 1250 250 NR 16-18 11 13 15 Quart. Appl. Math. 4 800 400 200 12 11 13 15
344 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Research Journals Backlog
Editor's Estimated Observed Waiting Approximate Time for Paper Time in Latest Number Number Backlog of Submitted Currently Published Issue Issues Pages Printed Pages to be Published (in Months) Journal per Year per Year 12/31/89 6/30/89 (in Months) Ql M Q3
Quart. J. Math. Oxford Ser. (2) 4 512 128 96 12 17 21 23 Quart. J. Mech. Appl. Math. 4 625 0 0 13 11 12 14 Results Math. 4 768 0 0 8 4 7 13 Rocky Mountain J. Math. 4 1000ttt 1700 32 *** Semigroup Forum 6 768 0 200 9 11 11 12 SIAM J. Appl. Math. 6 1845 129 500 10** 12 12** 15 SIAM J. Comput. 6 1280 0 200 8** 10 11 ** 12 SIAM J. Control Optim. 6 1480 196 350 9** 9 10** 11 SIAM J. Discrete Math. 4 600 112 50 9 8 9** 10 SIAM J. Math. Anal. 6 1500 456 430 11 ** 10 11 ** 12 SIAM J. Matrix Anal. Appl. 4 600 338 150 11** 9 10** 10 SIAM J. Numer. Anal. 6 1550 257 550 10** NA SIAM J. Sci. Statist. Comput. 6 1200 447 400 13** 13 14** 15 SIAM Rev. 4 725 0 0 9** 5 6** 7 Topology Appl. 12* 1320 1430 500 13 16 17 18 Trans. Amer. Math. Soc. 12 5000 200 200 16 20 20 28
NR means no response received. NA means not available or not applicable. * Date of receipt or acceptance of manuscript not given. ** From date accepted. *** This journal recently ended a moratorium on the acceptance of new papers; latest issue consists of pre-moratorium papers. t Dates of revisions not indicated. tt For 1990: 12 issues and 2400 pages per year. ttt Publication will increase by 60% by 1991.
, UNIMODAL LOG-CONCAVE AND POLYA FREQUENCY SEQUENCES IN COMBINATORICS Francesco Brenti (Memoirs of the AMS, Number 413) In recent years, considerable research has focused on applied to any situation in which log-concavity and unimodality unimodal or log-concave sequences that are of combinatorial questions arise. The second part of the book is devoted to interest. Although these two properties have simple definitions, applications to several combinatorial situations, yielding many proving that a sequence is unimodal or log-concave is often a new results and solutions to some problems that had resisted difficult task requiring refined and sophisticated mathematical attack with other techniques. Both parts of the book point to tools from such areas as representation theory, algebraic many conjectures, open problems, and directions for further geometry, or classical analysis. study.
The main purpose of this book is to show the theory of total 1980 Mathematics Subject Clessifications: 05A20; 05A15, 05A10, positivity can be very useful in studying this area. In the 05C20,06A10, 11B73, 15A04, 26C10,30C15 "EM first part of the book, after discussing some combinatorial ISBN 0-8218-2476-7, LC 89-15137 +_~~ A1"tc; motivations, the author studies some of the fundamental ISSN 0065-9266 ~~MH ~ linear transformations that preserve the log-concavity or P61ya 106 pages (softcover), September 1989 ~l~(~~ ~ ~~ Individual member $10, List price $17, el ~ ffTf1Tl1 ~ ))~ frequency properties of a sequence. This part forms the Institutional member $14 ~ .~ ))~ theoretical core of the work and may be read independently To order, please specify MEM0/413NA • ~~ (r/J'• from the rest. In fact, this rich and powerful theory can be O(JNiill)\:
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MARCH 1990, VOLUME 37, NUMBER 3 345 New Members of the AMS
ORDINARY MEMBERS Richard L Edington, Yupai P Hsu, Schulmberger-Doll William P Montague, Saint Adnan A Al-Shakhs, King Fahd Nacogdoches, TX Research Center, Ridgefield, John's College, Santa Fe, Univ, Dhahran, Saudi Beth-Allyn Eggens, Warren, OH CT NM Arabia Jenny Helen Ehrlich, New Clark W Ingham, Oakland, CA Shahriar Nikandish, Tabriz, Iran Eugen Urban Angehrn, Princeton Smyrna Beach, FL Bruce P Jensen, Univ Corse, Scott Niven, Olympic College, Univ, NJ Abdelkaden El Koutri, Univ of Corte, France Bremerton, W A Ramin B Arani, Univ of North Marrakech, Morocco Sheldon B Jolson, Forest Hills, Beth A Novick, Pittsburgh, P A Dakota, Grand Forks Carel F Faber, Univ of Chicago, NY Kieran G O'Grady, Columbia Shri Dhar Bajpai, Univ of IL Joseph R Kazimir, North Univ, New York, NY Bahrain, Isa Town James A FitzSimmons, Hollywood, CA Kirti K Oberai, Queen's Univ, James M Banoczi, Struthers, OH Cincinnati, OH Ben J Keller, Blacksburg, VA Kingston, Ontario, Canada Ken L Barnes, Williamsville, IL Matthew K Franklin, Columbia Michael Dominik F Koller, Linda C Odom, Chicago, IL Francis L Barrett, Tucson, AZ Univ, New York, NY Zurich, Switzerland Robert M Opalka, Surfside Larry J Baxter, Seattle, W A Colleen M Galligher, Dayton, Jocelyn S Koo, Northern Beach, SC Elton Earl Beougher, Hays, KS OH California Cancer Center, Andrew Page, Fords, NJ Robert L Bish, Materials Ormsin S Gardiner, Winona, Belmont Barbara S Patrick, Highland, MD Research Laboratory, MN Susan S Kornstein, Horace Mann Joseph S J Peri, Jessup, MD Victoria, Australia Katrina Louise Gariaeff, East School, Bronx, NY Lisa M Perry, Orono, ME Mark Boardman, Lincoln, NE Windsor, NJ Iwo Labuda, Univ of Mississippi, Michel Pocchiola, Paris, France Carol A Bowen, Haskell Indian Simrat M Ghuman, San University Denise M Pollard, Camp Hill, Junior College, Lawrence, Francisco, CA Bhagwandas V Lad, PA KS Alison L Gibbs, Saint Mary's Philadelphia, PA Eugene L Poole, Hampton, VA Joan F Boyar, Aarhus Univ, DCVI, Ontario, Canada Anne K Larson, Oxford, OH James B Ranck, State Univ of Denmark Charles R Giuffre, Austin, TX Dening Li, West Virginia Univ, New York, Brooklyn Louise M Boyd, Livingston, AL Michael Glaum, Univ of Morgantown William C Regli, Wyncote, P A Claudette Bradley, Univ of Waterloo, Ontario, Canada Yiping Li, Zhongshan Univ, Brian Keith Ridpath, Corvallis, Alaska, Fairbanks Sally Glover-Richard, Pierce Guangzhou, People's OR Mark J Bruso, Mount Prospect, College, Puyallup, WA Republic of China Dale P 0 Rolfsen, Univ IL Richard Graham Goldthwait Jr, Vladimir Lifschitz, Stanford of British Columbia, Roger V Buck, Columbia, MD Youngstown State Univ, OH Univ, CA Vancouver, Canada Bernadette Jones Burton, Ettrick, Wojciech L Galik, Univ Missouri Panagis S Liossatos, Florida Michael D Rosene, Long Beach, VA at StLouis International Univ, Miami CA David M Busey, Sitka, AK Faustino Gonzalez, Warrington, Nicholas F Lombardi, Amherst, Richard W Ruedemann, Univ of Caralee A Capone-Bethel, PA NH South Florida, Tampa Beavercreek, OH Kevin M Groothuis, Jensson, MI Peter A Longo, Worcester, MA Pascal Sakmann, Bern, Joe Chukwu, Evanston, IL Mark W Gross, Oakland, CA Elena A Marchisotto, California Switzerland Loyce L Collenback, San Zoltan Gyorfi, Univ of Toledo, State Univ Northridge Sivapragasam Sathananthan, Antonio, TX OH Juan-Basco R Marquez, I B Jarvis Christian College, Louis Comtet, Maurepas, France Waleed Khader Hamed, Riyadh, Isabel De Castilla, Avila, Hawkins, TX Lauren Cowles, Cambridge Univ Saudi Arabia Spain Kathleen L Saxon, Nuevo, CA Press, New York, NY James Bradley Hansen, McAllen, Victoria G Martinez, Tallahassee, Anne Schlientz, Southampton, Terry E Crandall, San Diego, CA TX FL NY Robert A Cullen, Milwaukee, WI Janis P Hardwick, Univ of Daniel Frank Massey, San Diego, Paul G Schmidt, Auburn Univ, Erica F David, East Windsor, NJ Michigan, Ann Arbor CA AL Richard Irving Day, Power James W Hassed, Black Forest, Michael W Mayhall, Palmetto, Connie S Schrock, Emporia State Products, St Thomas, Virgin co GA Univ, KS Islands Nicolai T A Haydn, Univ of Patricia C McCann, Franklin Michelle Schultz, Western David W Dean, Columbus, OH Toronto, Ontario, Canada Univ, Columbus, OH Michigan Univ, Kalamazoo Laurel E Dieter, Univ of North Robert Matthew Heitman, Larry C McCollister, Zumbro William A Schwalm, Univ of Carolina, Chapel Hill LaVallette, NJ Falls, MN North Dakota, Grand Forks William A Drumin, King's Linda Diane Hoffoss, Morris Anatol A Meush, Fort Nathan Sentner, Hartford, CT College, Wilkes-Barre, PA Plains, NJ McMurray, Alberta, Canada Tamir Shalom, College Stephanie J Dupal, Lisbon Falls, Allen G Holder, Jackson, MS David E Mizak, Garrett of William & Mary, ME James Q Holt, Brunswick, GA Community College, Williamsburg, VA Amy Lynn Dykstra, Venison, MI William R Horton, Boulder, CO McHenry, MD
346 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY New Members of the AMS
Howard Shaw, Thousand Oaks, Israel Mathematical Union Rick D Aultman Brigham Young University CA Davida Fischman Joan M Benoit David L Carlson Victor J Shoup, American Tel Janos Bolyai Mathematical David B Davenport Tyler J Jarvis & Tel Bell Laboratories, Society Hubert Fottner Eric Lewis Swenson Murray Hill, NJ Tina L Hawkins Wenhao Wang Wendy Robin Smith, College of Peter Komjath Randy W Heiland Charleston, SC Korean Mathematical Society Brown University Edy Soewono, Bandung Institute Byung Young Kim Ramon P Hernandez Federica Andreano Beatriz Finina R Maggay Amitabha K Bose of Technology, Indonesia London Mathematical Society Avraham Soffer, Princeton Univ, Vince J Perozzi Rustum Choksi Aboubakr Ahmed Bayoumi NJ Ning Qin Stavros N Christofi Barry E Johnson Reza Sojoodi, San Antonio, TX Andrew J Siefker Elena Colazingari Rodney A Sparapani, Milwaukee, Mathematical Society of Japan Baorong Tang John R Gorman WI Hirokazu Iwashita Sharon L Walker Yan Guo Eric G Stade, Dartmouth Michinori Yamashita Ixin Wen College, Hanover, NH Mary H Hartsoch Steven A Wilmarth Gary L Tabony, St Joseph, MO Mathematical Society of the Michael G Hilgers Andrew E Thompson, Elmwood, Philippines Yingxian Zhu Liang-chung Hsia MA FeN Reyes Yulin Zhu Markos A Katsoulakis R B Thompson, Woodstock, IL Societe Mathematique de Belgique Arkansas State University Michael J Larkin Henry J Tramer, Chicago, IL Paul G Chauveheid Catherine S Leach Hua-Chieh Li Renee Ellen Trice, Monaca, PA Frank De Clerck Margaret H Maxey Yue Liu Jeffrey A Van Eeuwen, Grand Johnny M Moore Kevin M Manbeck Rapids, MI Sociedad Colombiana de Daphne G Perkins Luiz Felipe Martins Larry C Wadle, Houston, TX Matemdticas Ming-Kao Wang, Denton, TX Luz G Torres Melton J Sloan William M McEneaney Neil Irvin Miller Denise A Watrobsky, Saunders Sociedade Portuguesa de Auburn University Peter L O'Sullivan College Publishing, Matemdtica Elaine Turner Bell Andrea Pagano Philadelphia, PA Ana Bela Cruzeiro Jinzhu Chen Christopher G Webb, Katy, TX Georgia Perakis Suomen Matemaattinen Yhdistys Wen Hsien Chen Genevieve G Whitaker, Macon, Jongsool Choi Nathan Platt GA Ritva Marjatta Syrjiinen Sebron C Dale Jr Daniel F Potter Peter Wait, Columbia Univ, Svenska Matematikersamfundet Christopher S Raphael New York, NY Ann B DeBortoli Peter Wingren Alex L Solomonoff Hirofumi Yamada, Institute for Hussain Elalaoui-Talibi Advanced Study, Princeton, Unione Matematica ltaliana George S Hall California State University Long NJ Luigi Ambrosio Linda A Hartford Beach Keren Yan, Indiana Univ-Purdue Achille Basile Edward H Howard Timothy Mark Bryan Univ at Indianapolis Fabio Cavallini Casukhela S Kameswarrao Guy G Bunyard Vaneica Y Young, Univ of Maria Scafati Tallini Bernd Lange California State University Florida, Gainesville Giuseppe Tallini Bonita A Lawrence YeeTing Young, Philadelphia, Sacramento PA Wiskundig Genootschap Jerome M LeVan Nicola Barone Giovanni G Zacher, Miami Peter K H Gragert Sw-Ying Chen Liao Alexander Ross Majzoub Univ, Oxford, OH Osterreichische Mathematische Carrie E A Mitchell Caltech Ruth Zadorozny, Philadelphia, Gesellschaft Carol Michele Moore Yonghee Choi PA Wolfgang Hamedinger Navita Oberoi Neil A Chriss Giesle Zangari, Cumberland, RI Daniel C Mayer Shinichi J Ozone Kaustuv M Das Feng Zhao, Massachusetts Ajit V Sathe Mirko Degli-Esposti Institute of Technology, Kuo-chuan William Yin Cambridge Dean Matthew Evasius Zhongxin Zhao, Univ of Austin College Lawrence A Kolasa Missouri, Columbia NOMINEE MEMBERS Jack G Mealy Natasa Kovacevic Adelphi University Beloit College Alexander A Lesin Donna A Hiestand Christopher L Smith Robert I McLachlan Zachary Levy Boston University Aaron Melman RECIPROCITY MEMBERS Mohammad Moshref Alex Kasman Thu Pham Asociacion Matemdtica Espanola American University Theodore D Lopatin Sankar Sitaraman Miguel Reyes Nancy F Ellis Eileen F O'Sullivan Carleton University Dansk Matematisk Forening Raymond E Lee Ying Zhu Intesar A Almetawa Lars Dovling Andersen Amherst College Bowdoin College Jon Alan Beal Christian Thybo Nancy T Allen Frederick D Grobe Paul J F Bonenfant Deutsche Mathematiker- Karen C Lassey Bowling Green State University Raymond W L Chow Heba M Ebeid Vereinigung e. V. Andrews University David M Dawson Shui Feng Detlef H Muller Keith G Calkins Partha P Dey Robert Bruce Harland Indian Mathematical Society John Clarke Duncan Steven V Gunhouse Julie A Huang Babu Ram Linda M Soper Richard W Landoll Minnie W Lee Kathleen K Shepherd Iranian Mathematical Society Angelo State University Panusunan M Siregar Mohammad Hosseini Noel Dee Evans Brandeis University Carnegie Mellon University AliAbadi Arizona State University Ming-Qiang Wang
MARCH 1990, VOLUME 37, NUMBER 3 347 New Members of the AMS
Jonathan W Aronson Zhenchun Guo Jian Yu Inst for Defense Analyses Ana C Barroso Sungchul Lee Georgia Inst of Tech Alan G Richter Dmitry Golovaty Jianguo Liu Deborah Elaine Buscher Iowa State University Jose Carlos Matias Salvador Malo Diane Henry Czuchry Scott W Garbe Bulent Mazacioglu Robert Scott Manning Douglas Stuart Daniel David W Juhlin Case Western Reserve University Laurel L Stell Steven D Galbraith Roger R Kirpes Jodelle S Wuertzer Ian M Sutherland Josef Oho Gross Colby A Lamb Central Missouri State University Hong Zhao Kevin N Leeds Yuan-Sheng Lee Tere J DeWitt Dalhousie University Margaret Jane Trivett J Jay C Criminal Justice, CUNY Sarah Endel Gholamhossein Abolghasem Bruce H Weber Jianfeng Ao Janelle M Flax Wanzhen Huang Xiaodong Zhu James Madison University Sharon K Johnson Gerald Jean Grad School f1 University Center, Laura W Funkhouser Francisco Marmolejo City College (CUNY) CUNY John Carroll University Kurt C Job Mario Saric Alessandra Carbone Songping Zhou Scott Brozell Tasos H Shapitis Hsin-Ta F Cheng Amy J Dianiska Valerie J Wallace Daniel H Wagner Associates Konstantinos Georgatos Wenzhen Wu Shui Tong Wong William Reynolds Monach Jun Hu Dal Young Jeong Johns Hopkins University, Claremont Graduate School Drexel University Baltimore Dariouch Babai Patricia Henry Juliette Cara Kennedy Spyro-Giorgio Mancivi Michimasa Tanabe Kelley E Case East Carolina University Kansas State University Scott Patrich Ellsworth Srinivasan Balram Waldemar Paluba Kevin Shen Habib Ahmad George W Hillman Whenda P Dawson Joseph I Ahn C Keith Lee Kelly L Morales Evan Siegel Lap-Mo So Mohammed S El-Atrash Thomas J McLaughlin Xiang Sheng Gholam Erjaee Phuong Y T Tran Min Suk Song East Texas State University Lei Yang Richard A Laird Max YTsou Bryan L Allen Angela C Larson Binshing Dominic Tsui Harva_rci U~ersity James P Ochoa--· ~Zenia Y Lee Clark G Vanish Lisa M Baker Eastern Illinois University James A Bryan Peiqing Li Clarkson University Xingkang Fu Tariq H Nuruddin Mark E Loftis Jean-Fran~ois H Burnol Stephanie Jones Haley Lucia Caporaso Kent State University, Kent Hema R Madalap EddieS Lee Paul Abraham Anwar M Saleh Neil P Dummigan Richard R Monke Kaspar Daniel Ernst Ahmad Rashed Alhamdan College of the Holy Cross Paula Sue Moore Michael Finkelberg Chun Cao Eric C Gaze Patrick M Peterson Thomas Randolph Hagedorn Laura A Castner Steven P Levandosky Alexandros Petridis Kok-Onn Ng William Leo Congeni Rebecca Runnels Eastern Michigan University Du Nguyen Charlotte L Crowther Colorado College Donna J Holmes Henry Shahrouz Yaser Y Dhaher Deborah L Cotten Karen Ann Holmes Francis Edward Su Janet S Diroll Colorado State University Jill E McClain John S Tillinghast Sharla M Dykes Richard P Albert Florida Atlantic University Lan Wang Abdelaziz Fellah Jonathan Ray Alford John Kolppuram Chandy Haverford College Daniel E Gonsor Chung-! Cheng Susan C Dickerson Walt Pohl Heywood Hampton Samuel Glenn Hunter Stephen R DeJong Hermine Engels Hofstra University Donald J Gillich James Fernandez Manavalan Kesavan James Joseph Clarke Chokchai Leangsuksun Marci M Goldade Peter B Hindman Michelle J Lisi Colleen G Livingston Joseph Franke Kolacinski QiciLu Nicholas Anthony Larry Allen Podluzne Tyrel Marak Martha M Morrow Marcantonio James S Mattson Tianan Wu Nagarajan Selvaraj James Dan Morehouse Wei Zhang Humboldt State University Naveen Sharma James R Olsen Julianne M Coffman Jimmy C Shih Florida Inst of Tech Mark H Kamakea Michele Ann Svacina Semen Koksal Angela S Spalsbury John Clifton Symms Mark D Knoppel Li Tang Farzana Ahmad McRae James L Lapp Chera L Thompson Robert Alan Vatilla Michael D Shaw Tim J Lauck Conrad D Truedson J Vasundhara Devi Anthony Ross Weston Martin C Liermann Gyungsoo Woo Caryn Werner Florida State University Quan Yue Indiana University at Mahmoud A Yousef Junesang Choi Bloomington Reinhardt Richard Zeller Concordia University Martin Eberwein Rakesh Rajan Singh Bisen Kavita C Bhatia Lakehead University Yonggui Han Eric Scott Stampfli Shanshan Wang Biansheng Sun Xiang Liu Weili Zhang Ling Yu Cornell University Mark Alan Turner David Michael Bond Zhi Wang Inst for Advanced Study Taichu Zhang Heike Dengler John F P Wen Stephane P Jaffard Maharishi International Richard D Dunlap YK Yang Werner Muller University Jiang Zeng Andrew Carlisle Averill
348 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY New Members of the AMS
Peter D Harris Michael Quast Edens Northeast Missouri State John Lacey Milan N Lukic Peter G Hardy University Oklahoma State University, Robert L Wofford Nancy J Lybeck Yangguang Jiang Stillwater Mankato State University Mount St Vincent University Northeastern Illinois University Michael S Barkil Dwight H Galster Edith E Rushton Barbara Allocco Sheila K Brintnall Shiow-Wzn Horng Naval Postgraduate School Northeastern University Julia H Crawford Meiling Miranda Huang Philip F Beaver John David Driscoll Pradeep Javangula Fengshen Jou Andr/'e M Cuerington Xiaolin Hou Kerry D Johnson Matthew H Ke Edward Augustine Healy Jr Barbara Nostrand Forrest E Simpson Rong-Ho Lin Kevin D Jenkins Caroline M Tibbetts Samira Stitou Meiyi Qian Michael D Phillips Northern Arizona University Bryan S Tutor Shiu-Jung Shih Vincentius Jozef van Joolen Jeffery Allen Anderson Mark A Zuiker Hui Fu Wang New Mexico State University, Las Markus H Doerry Oregon State University Shoeiyi Wang Cruces David N Gorman Thomas J Barreras Rachung Yu Patrigo A Rojas Judy A Grosswiler Warren Neal Christman Mathematics Sciences Res lnst Xiaomin Wang Jay A Horen Crystal L Gilliland Abul Kasem Muhammad New York University, Courant Inst Mike P Jenck Todd Edward Huffman Masood-ul-Aiam Fernando Alegre Andrew Peter McKintosh Mark R Hull Samuel P White Hsuanjen Cheng Patrick A Rossi Gwen Hyatt McMaster University Geoffrey M Davis Elissa D Schleifer Hao Jiang Rohana S Ambagaspitiya Ann R Du Northern Illinois University Michelle J Jones Memphis State University Thomas J Emerson Howard I Dwyer Annette Klute Firasath Ali Maria Eva Ferreira Conrad James Fernandes Debra Sue Love Sue Ann Barnes Edward Givelberg Wenge Hao Mark Matthew Maxwell Larn Chang Mikhail Gorbunov Tracey M Kozubowski Paul Allan Palmer George H Connor Jr Susan C Gurney William P McMahon Henry W Tieman Shinko Kajima Huigeon Han Lou Ann Pope Peter W White Xue Zhong Li Brian T Hayes John Phillip Thomas Pembroke State University Chiu-Chin V Lin Steven Heller Northwest Missouri State Elisha T Corney Parag H Shidhaye Richard L Holmes University Chandrea Laine Johnson Vikas Trehan Mounzer Kadro Mary E Stevenson Lucy Maynor Lowry Rita L Maynor Yan Wang Wei Lee Northwestern University Selda L Williams Carole Nudelman Michael P O'Leary Pennsylvania State University, Michigan State University Sarah K Patch Marilyn Paloma Ruzal University Park Hedi Ajmi Andre Salles De Carvalho Jean L Balogh Julianne Maria Schmidt Norwich University Yvette D Bell Ayla Ayalp Waclaw Timoszik Michael W Clink Michael B Stoeckel Sophie Frisch David Crippa Yoshihiro Tonegawa Oberlin College Kalin Godev David H Erwin Leslie Vaccaro Chris A Andrews Timothy B Gutmann Ming-Jean Fan Kiroll L Vaninsky Ohio State University, Columbus Sarah E Hall Hajrudin Fejzic Nicholls State University Yuan Chen Jose Felipe Linares Pi-Chun Hsu Gerald John Aucoin Jr Richard P Connelly Xiaobo Liu Li-ying Huang Jayme S Chapman Bryan Robert Johnson Richard L McLane Christopher J Johnston Karen T Gauthreaux Kan Liu Elena Poletaeva William Michael Kengeffey Phyllis B Holman Quan Liu David C Purdy Weiping Li Rochelle F Walker Rajesh P Manjrekar Princeton University Eryao Liu North Carolina State University Andreas Muller Alejandro C Andreotti Nacer Menad AmaiAAmin Sheree Michelle Rivers Benson S Farb Setareh S Nemazie K Banerjee Peter 0 Schwartz Giovanni Forni Peter D Shelburne Edwina Rudisill Beam J L Shalack Kazim Ilhan Ikeda Larry D Voice Michele Benzi Ronald M Tungol Markus R Keel Kunchuan Wang James Anthony Burgess Chi-Kun Jimmy Wong Kamal Khuri-Makdisi Wei Wu Sang-11 Choi Xiaohong Wu Yanguang Li Xiaozhuo Yang Wendy N Geene Tianbao Zhu Andrew J Mayer Shangqian Zhang Terrence Patrick Grealis Ohio University Robert J McCann Li Zhou Hollis Keith Hege Steven D Bourquin Wieslawa K Niziol Michigan Tech University Matthew F Hudock Dana Carroll Peter Steven Ozsvath Debra A Adler Joseph W Hughes Rita E Fuller James S Tanton Elizabeth Anne Rich Yiyuan Lu Abdelrahim M Hamdan Alice Underwood Jiaping Zhong Middlebury College Dean M Oppegaard Karen Elizabeth Latham Peter G Andrews Christopher M Poisella Ramona S McNeal Purdue University Rajashree R Rao Deyu Tong Eraj Basnayake Montana State University JihadS Yamout James W Ballard Robert Tucker Smith Young-Bok Chung Timothy S Carlson Ohio Wesleyan University Elham Dehghani
MARCH 1990, VOLUME 37, NUMBER 3 349 New Members of the AMS
Michael M Dougherty Barbara A Ranco David W Cohen Apostolos Apostolopoulos Subhajit Ghosechowdhury Jose Antonio Reyes y Diaz Katherine Taylor Halvorsen Sean J Bradley Tao Hu Jiaxing Sheng Southeast Missouri State James F Butt Paul R Hurst SUNY at Binghamton University Kevin C Flood Kyungsoo Kim David J Garrison Johnny Lai Allen S Gliniewicz Minh Van Ho Mee-Kyoung Kim Gang Li Southern Illinois U, Carbondale Lynn Hollenbach Yu-Ling Lai Robert Militello Joy L Ducksworth Kristine Yung-Hui Lai Min-Young Lee Robert Fitzgerald Morse Southern Methodist University Xuye Li Samuel H McLane Elizabeth R Perry Przemyslaw Bogacki Xiang ning Liu Ruth Tinklepaugh Heather D Ries Jerry D Brothers Dehiwala Lalith Peiris Yongqian Yan Christopher H Schuck Carlos F Carri6n-Yntriago Hongliang Ren Jiazu Zhou Margaret R Sullivan David C Guarino Swati Sastry Tennessee Tech University SUNY at Buffalo Ka Ho Ho Lynn L Schreyer Michael Raymond Allen Roger S Berlind Lori Ann Jones Ellen Marie Schueler R Hopkins Lifang Cai Peter J Keenan Lesia Sangjin Seok P Kadakia Yan Fan Nandini Mitra Kokesh Chi-Mei Shui Craig D Knuckles Michael A Fries Marcin Paprzycki Li-Chuan Sun LuAnn Williams Walter G Gall Meng Wan Stacy Jack E Tedeski Kevin G Ganey Jing Wang Texas A f1 I University, Kingsville Anthony David Thomas Sherry Lyn Hartel Kenneth Mark Woodson Huhammad Rashad Ibrahim Qing Wan Yiming Li Texas A f1 M University Hsin-Ju Wang Southwest Missouri State Till Plewe Steven D Klassen Ming You Wu University Zhixin Shi Xin Li Ying-Hwa Wu Melissa Ann Arnold DavidS Wack Jianao Lian Guangping Xiang Nancy Jane Crites Mavlan Yasin Steven J Sepanski Kao-San Yeh Melissa L Hays Jianhe Zhang John Mace Williamson Zhongxin Yu Charles M Sturdivant at Geneseo Chang Zeng Rong Yue .'l'UNY, College Southwest Texas State University Debbie Marian Belli Biao Zhang Alexander H Banihashem Trenton State College SUNY, College at Plattsburgh Mohamed Shawky Khalil Reed College Joyce F Fischer Walter P Babic Deoki N Sharma Timothy W Atwill Robert M Hays J Frederick John S Estabrook Pamela Telma Henry Tufts University Lynn Rehm Leanne D Robertson Donna Stephen K lgwebuike Gene A Gregerson Joseph S Tripp Raymond W Jackson Paul T Marquis Rensselaer Polytech lnst College at Potsdam Mona Patty Heidi Kristina Bahn SUNY, Tulane University Phoebe Cheung Edris Safari Steven P Bishop Nga-Shan Ronald Joseph Burth Jr C Cook Kirby W Wisian Cathy A Caldwell Darwyn Ue-Shir Chang Maura A Dowling Paul Caprioli St John's University Charles G Derecskey J Learned Kurt Dittenberger Heidi Robin A Fleming Xuetao Lu Brendan H Doerstling Sam Houston State University Yen-Yao Ho Weimin Sun Christopher W Fowler Kuanchien Tsai St Louis University Zhongmin Yuan Thomas M Kastner San Diego State University Wayne LeRoy Hacker Qi Zhang Mary C Krembs Shireen S Dadmehr John Richard lgoe Jr Union College Caroline Diane Labenski Alvin Henry Klassen Barbara E Kurt Kristin A Allison Jacques G Laforgue Santa Clara University Bonnie E Merritt Sarah J Greenwald Mary Ann Schultz William F Forrest III Daniel R Replogle Patricia Lynne Pacelli McLaughlin Paul J Freitas St Olaf College Jill Faith Shanebrook Hong-Yuh Shy Speranta M Marcu Karla Horsch Kimberley M Stevens 1-Heng Wang Jennifer L Steichen Heidi A Munson Stephen C Young Rice University Karrolyne Vosburg Stanford University University de Montreal Vaishali S Shah Seattle University Ross A Biro Fernand Beaudet Rutgers University, Newark Miriam A Myjak Jordan A Drachman Joel Bissonnette Robert Sczech Julie M Solon Zachary Miller Nightingale Jean Deteix Anne Fearnley SUNY at Albany Shippensburg University of Pa Paul T Norbury Pascale Harouni Eugenia Bomash Jeffrey M Chillot Becky Stephens Helene C Lambert Gregory Bomash Jeffrey R Darrow James D Woodson Guillaume Leduc Andrew Clifford Brenda M Klaczak Zohar Hanania Yakhni Marc Aurel Wisse Patrick J Heagerty Ona J McBride Stetson University University ofAlabama- John P Holcomb Skidmore College Elizabeth A Brooks Birmingham Myun Huh Michael Graham Stevens Inst of Tech Marsha A Cook Gisela Kindermann Alan Clayton Marco Debra V Curtis Susan F Cooley Laurie L Lacey Alan D Osetek Swarthmore College JoAnn Eberlein Trudy A Marsrow Martha E Redford Brian D Taylor Kanthi Perera Yu-ing Hsu Smith College Temple University Tuan Anh Le
350 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY New Members of the AMS
Zhanhua Liang Jeanine Kay Dalke David R Klein Nancy Tervalon King Charles S Powell Laura De Carli Nadine Kowalsky Sandra Catherine McCurdy University ofAlberta Susan M Sohler Everingham Thomas M Kuhn Feng-Jiau Judy Peng Yuanping He Guillermo Fernandez del I-Lin Kuo Karen J illette Rovang Zhiguo Hu Busto Stephen F Siegel University of Idaho Houshi Li Susie Go Mark A VanWyk Ralph H Wood Markus Molenda Thomas Gauguin Murali Krishna Vemuri University of Illinois at Chicago Frank K Nani Houghton-Larsen University of Colorado, Boulder Srinivasa Arikati Peter 0 Odiobala Sikun Lan Glenn D Dean Sharon Gilkerson Dushanthi P Pinnaduwage Anna Aletta Lemmer Kent A Doggett Beatrice J Henitt Zhiyong Shi Xiaofan Li Bernard J Gillett Mijung Kim Leszek W Soltysik Connie L Liang Rachel F Hall Joseph J Kostal Xiangyong Wang Chi W Na University of Dallas Xiaosong Li Hong Xie Ken Ono Cheryl R Huff Paul M Mahoney Sonja L Opstrup Shuzhan Jack Xu University of Dayton Eloy E Martinelli Karen I Pao Pengxiang Yan Yacoub A Al-Ferzly Margit Messmer Jian Ping Shao Jian-Ling Zhong Donald E Duckro Deirdre Carol Purcell Michelle M Stocking University ofArizona Eric Roger Kaufmann M Vali Siadat Susan Lorraine Thorpe Christy D Bergman Michael J Stanek Burt S Tilley Alfonso Tortora Annalisa M Calini Theodoros I Vassiliadis Shu-Fang Wang University of Delaware Wen-Chiao Cheng Pusheng Wang Tachun Wang Joseph Brian Adams Sean S Coates Yi Wang Christopher James Winfield Andrew A Allers John Mark Ettinger Karen E Weires Peter John Wolfenden Jorge E Hernandez Tina M Gam Sarah H Xie Yan Wu Fengshan Liu Feng Guo University of Illinois at Ching-Chau Yu Ken Luther W L Hosch Vinay R Varma Urbana-Champaign Huyi Hu University of California, Riverside Trisha A Bergthold University of Florida Shan Jin Sung Hun Ahn Mark Brodie Giovanna Brinchi John Martin Kittelson William C Eby Patrick J Callahan Robert S Clancy Haijun Li Jonathan D Fisher Marta Civil John M Hayes Birgit Merz Lori A Giannini Michael J Curcio Bernhard Horn Jim Keith Miller Michael L Green Thomas A Dobler Lalanie I Karunamuni Charlie T Naffziger Cheryl A Griffith Mary Vann Eberlein Kelly G Liakos David E Rauschenberg Carolyn R Hamilton Stephen C Fiete Frank Ludwig Claudia S Rohner Lior Kadosh Jan Figa Donal P Martin Barbara Anne Shipman C Irma Lopez Alejandra Folguera Jose W Melgarejo George Sochos Shawnee L McMorran Gary Kalmanovich Kevin M Peterson Martin F Staley Brynn Allison Mundahl Jennifer Lee Kearns Yannan Shen Adam M Stinchcombe Nancy J Parham Bradford J Kline Kevin L Summers Kebenesh Wondimagegnehu Tin Quach Ki-Ho Kwon Wolfgang A Tome Zhiyun Xie Jeanclle K Repique Thomas L La Framboise Kenneth M Sill Antonia H Yoon University of Calgary Niels Lauritzen Deborah Jane Smith University of Georgia Karoly Boroczky Lenore Levine Lynn T Tan Anitha Srinivasan Seema Kay Keroack Hang-Yeh Lin Kazuchika Alex Ushijima Tomaz Kosir University of Hawaii Changwen Liu Timothy D Watson Wayne Nelson James E Bennett Joy P Magalit Jun Wang University of California, Santa Xiang-Xia Huang John D Massman Boll Wu Barbara Robert C Rogers Dushan Glen Monchilouich Shijun Zhou John Z Bahura Zhiyuan Tang Eugenia Movshovich Xuding Zhu Juan M Estrada Michael Tischendorf Kayuan Nasser-Ghodsi Maciej J Kocan Adrienne S J Young University of California, Irvine Teri Jo O'Brien Ji Ma Lonnie H Hudgins University of Houston-University Matthew D Pestle Lydia Catherine Matthews Yong H Kim Park Georg Matin Reinhart John E McCarthy Gizelle M Marcotte Suzanne C Brower Walter J Schreiner Heidi Mills Michael Lind O'Leary Martha Maureen Carey Ging-Tzu Shih Curtis A Patton Norbert 0 Schumacher Yoon S Cho Lih-Jue Shih Jacob Neal Sarvela Christopher J Thompson Jessicia Emily Cole Zhi Yi Song Dino Sola Victor N Tran Lawrence C Cowsar Peijian Sun Andrzej Janusz Swiech Deborah Doggett Hajime Takagie University of California, Los John St Clair Werth John R Elam Shih-Chun Tou Angeles Chien-ning Yeh Sarah Helen Ferguson Todd G Will Clifford Bruce Abe Fuzhen Zhang Christopher Gilbert Arthur A Woerheide Barna L Bihari University of Chicago Lei Guo Shaojie Xu Mark Cassorla David Jonathan Chase Randal M Hall Hsia-Yen Chen University of Kansas Michael L Earnest Virginia Leigh Hollyer Eric J Barth
MARCH 1990, VOLUME 37, NUMBER 3 351 New Members of the AMS
Mitchell J Blackburn Robert J Kelnhofer University of Missouri, Columbia Jretai Yu Delisa Kayleen Drewes Daniel L Kern Melinda A Abel University of Oregon Rui Guo Mitchell L Kotler Joyce A Colvin Kuei-Fang Chang Robert H Karkafi Pui-Keung Law Bofeng Fu Cynthia A Gibson Richard T Lawner Nicolas A Minutillo Roger S Offermann Catherine Ann Miner Michael E Martin Simon E Stern University of Missouri, St Louis Wendelle L Rawlinson Elke Mittendorf Decheng Wang Ling Cao Karen Louise White Roy Osawa Kenneth J Wilder Joseph B Dence Nanping Yang Leann M Rajewski Xiao-Peng Xu Tiegang Li University of Ottawa Chris E Stehno Weiqian Yu Matthew K Lundberg Youjian Fang Mohamad A Tfaili University of Michigan Mark A Schneider Thomas Patrick McLeister University of Kentucky Seth WAllen Sharon K Spoede Gilbert Remillard Jonathan P Evans Robert Bakula University of Montana University of Pennsylvania Neal 0 Jett David M Buchthal Daniel J Balaguy Xiuxiong Chen University of Laval Cesar A Cardenas Susann Bradford Liming Ge Jean-Francois Bussieres Yaotsu Chang John A Bruder David S Grigoryan Remi Cote John Charles Dean Don D Gilmore Wei QingGu Lucie Nadeau George Delistathis Young-Do Han Mogens Lemvig Hansen University of Louisville Serge Elnitsky Hongzhe Li Lei Hong Yan Huang Steven D Fischer Gopalakrishnan A Narayan Kjeld Knvosen Jensen Shellie Y Hudson Darrin D Frey Julie A Owings Megan M Kerr Kathleen Hancock Lamb Manouchehr Ghamsari Sumant P Rao Seon-In Kwon David P Miller Hemar T Godinho Sangadji Mehrdad Samadani Patrick T Headley University of N C at Charlotte James Clark Satterthwaite University of Lowell Denise Michele Lee Fan-Ling Chen Christine N Anderson Mike Tam Hyeeun Kim Lee Hyung-Chun Lee Gerrit Wiegmink Wenpin Ha Tamara R Lefcourt Carol A Hay Elizabeth Camp McGuire University of N C at Greensboro University of Pittsburgh, Eileen Herlihy Kiwon Kim Ryu Yaprak F Balkan Pittsburgh Wen-Ching Hsiao David B Semmelroth Bradley P May Rachel K Hayes Scott L Johnson Douglas T Shapiro Ronald Lee Merritt Hans E Johnston Edmund F Marks Daren S Starnes University of Nebraska at Lincoln Charles J Kicey Ning-Van A Wang Darin R Stephenson Nicole Austin Bell Xuming Lei University ofMaine, Orono Kok-Ming Teo Patrick Heckenlively Barbara M Maskal Olcay Akman Jennifer L Thornton Paul E Hinrichs Joseph Edward Paullet Garrett Bywaters Timothy R Wagenmaker Timothy J Huffman Thomas J Richards Woo Lee Suzanne Louise Weekes Bao Ping Jia Lei Tsui Paul VanSteenberghe Gerald James Wuchter James Lee Kassebaum Aiping Wang University of Maryland Baltimore Shanshuang Yang Aihua Li Xiaolin Wang Chong Xu County University of Minnesota- Patrick J Nebel Chang G Kim Dana L Nimic Lianyong Xue Minneapolis Yue Zhao Jeffrey B Nowak Phillip Abbott Kristin A Pfabe Witold W Szczechla Abhoyjiy S Bhown Kristin D Spitler University of Puerto Rico, Angela M Walters Scott J Carlson University of New Mexico Mayaguez University of Maryland, College Haesung Cheon Paul M Bennett Eric Aviles Park Brian E Eaton James Patrick DeThomas- Silvestre Colon Gang Chen HuiingGau Shields Nilsa Cruz Kamel N Haddad Ko Hayashi Lisa M Duke Rene Davila Christopher Martin Judge Chaocheng Huang Dean A Jones Patricia Hernandez Todd M Kapitula Jim E Jones University of North Florida Jorge Lopez Silvia Regina C Lopes Philip A Jones Philip A Lyons Jr Jesus Novoa James Marianne Steven R Kleinhenz Flor-Constanza Sanmiguel University of North Texas Jose Villalobos Maureen E Rush Hector E Lomeli-Ortega Marlene L Atchison Catherine E Searle Xiaolong Shih Shawn W Eagleton University of Quebec, Chicoutimi Frederick H Wilhelm Jr Samarendra K Sinha Bridget A Feneis Sylvain Boivin University of Massachusetts, Chingwen Vanessa Wang Cheryl K Lewis University of Rochester Amherst Zhao Yan Susan E Paulson Jose A Gaggero Jorgen J Berglund Karen Elizabeth Young R Keith Rogers Jesus E Gonzalez Alexander N Brin University of Mississippi Alan D Sauter Yanjie Kang Kuan Deng Margaret Fair Barbour Dayton C Sommons III Ran Levi Lena Galaktionova Jeffery Wayne Bates University of Notre Dame Changmei Liu David A Gore Camille Elizabeth Calhoun Zarko Bizaca Dai Tamaki Holly E Hake Terry W Hobbs Mario 0 M Da Silva Hezhou Tu Ruth Huerfano Marilyn Kay Morgan Shu Nakamura Yingzhong Wen Lu Ji Patricia C Treloar Deyun Wu Kerri Lynne Workman
352 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY New Members of the AMS
University of San Francisco Dimitrios Loukanidis Utah State University Allen R Miedema Tristan Needham David M Neto Chris L Bendixen Nandita Rath University of Southern California Giovanni Panti Joan Leilani Dana Carolyn M Scharmer Arif Mohamed Ansari Jeffrey David Picka Xiaoli Hu Kwang-sik Song Lynn Beckett-Lemus Ulrich C Schanz Keng Lee Washington University Maha Albert Chabhar Steve G Sculac Jianhua Shao Siqi Fu Leonard Y Cho Roger R Singh Lu Zhou Melinda Joy Lampen Aniruddha Datta Don Stanley VPI & SU Xin Min Li Chin-pang Alex Fung University of Utah Elizabeth A Bonawitz Anita W Pabody Gary A Gilmore David C Beard David B Borisuk Jianwen Wang Paul F Glezen Kristina Ann Bogar Jiuyi Cheng Wayne State University Cherie L Gragnano Elizabeth Michael Brown Raymond A Conner Neil H Alexander Elke M Hennig Alberto Castro Lisa K Cooley Mary J Bartholomew Joseph W Hogan Val A Cummings Denise Lynette Davis Feng Chen Marianne Huebner John C Dallon Guor-Rong C Dub Gongdao Chen Paul M Kulesa Ha Thi Minh Dang Dhananjary R Gokhale Zhibing Deng Chen-Yao G Lai Ashley Michelle DuLac Gitanjali S Gulve lshita Dutta Gupta Waidong Lee Stephen G Kurtz Susan M Hagen Hassan K Hamdan Weishi Liu Lore! M Preston Heath D Hart Song Miao HoMing Luk Robert William Stokes Wei Huang John C Niss Subhash R Malakar Endre B Szabo Chun Wai lp West Virginia University Mark Nichols Yuanhua Tang Rajeev R Joshi Michael J Bennett Andreas P Petrou Craig C Tingey Addison B Jump Marjorie A Darrah Poornima Rajamani University of Vermont Kyehong Kang Leslie Ann Dumire Yegan Satik Nathan D BokiJ Hong-Chul Kim Timothy Jon Hempleman Philipp H Stephanus Theresa E Devlin Xiao G Li James M Sconyers Chi Chung Tong Yong Duan Rongsheng Liu Ling Zhang Aurelija Trgo James K Lynch Laurie A Hurley Carolina University Susanne K Watter Hamadi Marrekchi Western Douglas W Mace Laura C Hannah Janice E Miller University of Southern Mississippi Angela B Martinek Mitchell Lane Helms Alfred Kenric Mulzet Stephanie Renee Blackwood Leo B Schillinger Robert Dewey Herring Joydeep Ghoshal Kevin A Newman University of Victoria Western Illinois University Ming Ma Brian J Beckett Eileen T Shugart G Dennis Sparks Donald E Swanger Robin Mukherjee University of Virginia Ni Zhou Matt L Stephens Western Kentucky University Gene B Christner Robert L Vanderheyden Brian K Anderson University of Southwestern Jacqueline Anderson Hall Ivelina Julianova Velikova Washington University Louisiana Sharon L Laubach Western Janet L Wade John H Clifford Liet Anh Do Deirdre Longacher Smeltzer Jennifer S Wilson Maryann L Firpo Chunho Han Todd A Smith Denise Wolford David Qun Li Lan Ke Donald E Spickler Jr Scott A Yokim Samuel J Lightwood Catherine Pui-Kan Kong James T Wilmet Saiming Lee Mary Jo Zukoski Christopher C McCormick University of Western Ontario Vanderbilt University Elizabeth Jean Wood University of Texas at El Paso Xiaopeng Gao Chao Cai Westminster College Jinbao Chen Tim K L Liu D Brian Conley Carolyn K Cuff Roger A King Jack C Singleton Robert 'N Gore Yale University Chuck Littleton University of Wise, La Crosse Lu Han Bertrand M Hochwald Zheng Ma Patrick C Ward Chengke Sheng Sheri R Jordan University of Wise, Milwaukee Walter Bruce Kessler Yeshiva University Moshe Arye Milevsky University of Texas-Pan American Kevin E Charlwood Stanley B Reed Jr Joseph E Chance Joshua Y Choo Villanova University York University Betts University of Toronto Shubhangi S Nijasure Scott J Kromis Paul Gary F Baumgartner Keith M Stafford Nghia V Le Youngstown State University Habib E Chahin University of Wyoming Lisa A Sigler Michel K Azzi Sebastian Esteban Ferrando Dongmei Chunyu James M Brenneis Martin Forest Washington fj Lee University George N Gimas Harry Todd Pearce Jeffrey Walter Gill Minh Dzung Ha Paul Gerard Jacobs Scott Alan Miller Christopher J Halonen Washington State University Eunice E Santos Yun Li Michael D Brands Niloofar Hodjati Rossen R Parashkevov John W Weaver Soheil Homayouni Richard Roy Drake Linda K Prior Juan Du Tai-Hing Dennis Hui Zhongde Wang Andrew J Irwin William A Kimball Izabella Joanna Laba University of the West Indies Dongmei Liu Stephen Peter Lee Varalakshmi Duvvuri Dali Luo Dennis Ray Lomas Ansari Khayam Mohammed Pete B McGill Junior G Solan
MARCH 1990, VOLUME 37, NUMBER 3 353 Classified Advertisements
SUGGESTED USES for classified advertising are positions available, books or lecture notes the department and division. Salary range is for sale, books being sought, exchange or rental of houses, and typing services. 26,107.27-37,023.85. THE 1990 RATE IS $50.00 per inch on a single column (one-inch minimum), calculated Submit District application, including a de from the top of the type; $22 for each additional '/2 inch or fraction thereof. No discounts tailed summary of educational preparation, for multiple ads or the same ad in consecutive issues. For an additional $10 charge, experience, copies of transcripts, and a announcements can be placed anonymously. Correspondence will be forwarded. placement file or three professional refer Advertisements in the "Positions Available" classified section will be set with a minimum ence letters to: one-line headline, consisting of the institution name above body copy, unless additional Personnel Services headline copy is specified by the advertiser. Advertisements in other sections of the classified CHAFFEY COMMUNITY COLLEGE pages will be set according to the advertisement insertion. Headlines will be centered in 5885 Haven Avenue boldface at no extra charge. Classified rates are calculated from top of type in headline to Rancho Cucamonga, CA 91701-3002 bottom of type in body copy, including lines and spaces within. Any fractional text will be AA/EOE charged at the next '/2 inch rate. Ads will appear in the language in which they are submitted. Prepayment is required of individuals but not of institutions. There are no member discounts for classified ads. Dictation over the telephone will not be accepted for classified advertising. STANFORD UNIVERSITY DEADLINES are listed on the inside front cover or may be obtained from the AMS Department of Mathematics and Statistics Advertising Department. U. S. LAWS PROHIBIT discrimination in employment on the basis of color, age, sex, race, We invite applications for a tenure-track posi religion or national origin. "Positions Available" advertisements from institutions outside the tion in probability at the Assistant Professor U. S. cannot be published unless they are accompanied by a statement that the institution level beginning Autumn Quarter 1990 to 1991. does not discriminate on these grounds whether or not it is subject to U. S. laws. Details The position is a joint appointment in the and specific wording may be found near the Classified Advertisements in the February and Department of Mathematics and Statistics. July/August issues of the Notices. Excellent research potential in probability SITUATIONS WANTED ADVERTISEMENTS from involuntarily unemployed mathematicians and stochastic processes, strong interests are accepted under certain conditions for free publication. Call toll-free 800-321-4AMS in applications, and commitment to quality (321-4267) in the U.S. and Canada for further information. teaching are required. Outstanding candi SEND AD AND CHECK TO: Advertising Department, AMS, P. 0. Box 6248, Providence, dates at higher ranks will also be consid Rhode Island 02940. AMS location for express delivery packages is 201 Charles Street, ered. Please submit applications, curriculum Providence, Rhode Island 02904. Individuals are requested to pay in advance, institutions vitae and letters from three professional ref are not required to do so. AMS FAX 401-331-3842. erences to: Yitzhak Katznelson, Chairman of Search Committee, Department of Math ematics, Stanford University, Stanford, CA 94305-2125, U.S.A. POSITIONS AVAILABLE Opportunity Employer. Stanford University is an Equal Opportu nity, Affirmative Action Employer, and wel comes applications from women and minori ALABAMA ties. CALIFORNIA THE UNIVERSITY OF ALABAMA AT BIRMINGHAM CHAFFEY COMMUNITY COLLEGE DEPARTMENT OF MATHEMATICS MATH INSTRUCTOR UNIVERSITY OF CALIFORNIA AT BERKELEY Applications are invited for one or more antici The Physical Science Division invites applica BERKELEY, CA 94720 pated tenure or tenure-track positions. Prefer tions for a full-time, tenure-track Math instruc TEMPORARY POSTDOCTORAL POSITIONS ence will be given to strong candidates whose tor to teach selected Mathematics courses DEPARTMENT OF MATHEMATICS research interests are compatible with those ranging from Arithmetic to Differential Equa of our current faculty; this includes numeri tions. Several temporary positions beginning in Fall cal POE/Scientific computation, mathematical The ideal candidate will demonstrate a 1990 are anticipated for new and recent physics, partial differential equations, nonlin strong commitment to the needs of the diverse Ph.D.'s of any age, in the areas of algebra, ear analysis, dynamical systems, including academic, socioeconomic, cultural, disability, analysis, applied mathematics, foundations, topological dynamics, and differential geom and ethnic backgrounds of community college or geometry and topology. The terms of etry. Faculty members have access to the students. these appointments may range from one to Alabama Super Computer (using a Sun Sta Minimum qualifications are Master's de three years. Applicants for NSF or other tion and a T-1 line to a Cray X-MP/24). Rank gree in Mathematics OR Applied Mathemat postdoctoral fellowships are encouraged to and salary will be subject to qualifications, ics; OR Bachelor's degree in either of the apply for these positions; combined teach but applicants for senior positions must have above AND Master's degree in Statistics, ing/research appointments may be made for demonstrated excellence in research, while Physics, or Mathematics Education; OR Mas up to three years. Mathematicians whose applicants for junior positions must exhibit ter's degree in Teaching Mathematics; OR research interests are close to those of reg the promise of excellence. Send as soon as current California Community College cre ular department members will be given some possible a curriculum vita, selected reprints, dential that permits full-time service as an preference. Send by April 1, 1990 a resume, and three letters of reference (candidates instructor of Math; AND teaching experience. and reprints, preprints, and/or dissertation for senior positions may choose to submit a In addition to contributions made in the abstract. Ask three people to send letters of list of references instead) to Search Commit classroom, this individual will perform pro recommendation to Andrew J. Casson, Vice tee, Department of Mathematics, University fessional tasks with an emphasis on student Chair for Faculty Affairs, at the above address. of Alabama at Birmingham, Birmingham, AL advisement, curriculum design and evalua (Applications received for our earlier January 35294. UAB is an Affirmative Action/Equal tion, program review, and other affairs of 15, 1990 deadline will automatically be con-
354 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Classified Advertisements
sidered for this deadline will automatically be with University of California pay scales. If considered for this deadline also.) The Uni non-citizen, state immigration status. DISTRICT OF COLUMBIA versity of California is an Equal Opportunity, The University of California, San Diego, is Affirmative Action Employer. an equal opportunity 1affirmative action em NATIONAL SCIENCE FOUNDATION (NSF) ployer. NSF's Division of Undergraduate Science, En gineering and Mathematics Education (USEME) is seeking candidates for Pro gram Director positions in all NSF disciplines UNIVERSITY OF CALIFORNIA including: biology, chemistry, computer sci IRVINE ence, engineering, geosciences, mathematics DEPARTMENT OF MATHEMATICS COLORADO and physics. IRVINE, CA 92717 UNITED STATES AIR FORCE ACADEMY USEME was established within the NSF's The University of California at Irvine has made DEPARTMENT OF MATHEMATICAL Science and Engineering Education Direc a significant commitment for the development SCIENCES torate to serve as focal point for NSF's of the mathematics department. A number of VISITING PROFESSOR mission in undergraduate education. Pro faculty appointments will be made over the grams will focus on key areas such as course next few years. These include: The Department of mathematical Sciences of and curriculum development, instrumentation invites 1. At least five full time positions at any the United States Air Force Academy and laboratory development, faculty enhance of the tenured professorial levels. The De nominations and applications for a Visiting ment, students, and major initiatives aimed at with partment is particularly interested in areas Professor position. We seek a Professor increasing participation in scientific careers of Algebra, Analysis, Applied Mathematics, extensive experience teaching undergraduate of underrepresented groups such as women, research Geometry, Mathematical Physics, Numeri mathematics, statistics or operations minorities and the disabled. activity. Du cal Analysis-Scientific Computing, Probability, and a strong record of scholarly Program directors in USEME are senior and Topology. Selection will be based on ties will include reviewing our academic pro officers who take responsibility for identifying courses and research experience and teaching ability. grams, teaching undergraduate and characterizing national issues in under 2. At least one full time tenure track As promoting our research programs. Applicants graduate education, leading to the design, to sistant Professor position. Candidates must should have a demonstrated commitment development and management of leadership have a Ph.D. and a research record either in undergraduate research and education. The activities and high leverage NSF programs. year and will Mathematical Physics or Differential Geome appointment is usually for one The Foundation relies heavily on program try. begin in July 1991. Inquiries are welcome for director intellectual capacity and judgement in Applications must include curriculum vitae, Visiting Professor positions for subsequent the final decisions of the proposal and award with qualifi bibliography and three letters of reference. years. Salary is commensurate process. USEME program directors serve as The COMMITTEE ON STAFFING will solicit cations. To apply, please send nominations spokespersons for undergraduate education by 1 May supplementary letters of reference. Please (to include resume and references) both across the entire Foundation, and to of Mathe send applications to the COMMITTEE ON 1990 to: Chairman, Department many important national communities. United States Air Force STAFFING at the above address. matical Sciences, Individuals are sought who can provide UC Irvine is an Affirmative Action/Equal Academy, CO 80840-5701. leadership and vision in USEME's mission Opportunity Employer. to strengthen U.S. undergraduate education; who will establish direction to programs and provide technical and educational expertise for guiding the development of projects; and who themselves possess the knowledge and UNIVERSITY OF COLORADO AT creativity to identify significant solutions to UNIVERSITY OF CALIFORNIA, SAN DIEGO COLORADO SPRINGS problems both within their disciplines and DEPARTMENT OF MATHEMATICS An academic research position at the Assis across the disciplines. COLORADO SPRINGS, CO 80933-7150 tant Research Engineer level is available at Applicants should have a Ph.D. or equiv alent experience and 6 or more years of the Center of Excellence for Advanced Ma Applications are invited for 1 or 2 possible successful academic experience as a faculty terials at University of California, San Diego. tenure track Assistant Professor positions for member involved in teaching and research; in The Center specializes in high strain-rate Fall 1990. Prefer areas consistent w /present addition, academic administrative experience deformation of solids and the successful can research interests: algebra, diff. eq., com is preferred. didate will lead the theoretical aspects of puter vision, harmonic analysis, probability The positions will be filled by August 1990, projects that pertain to the motion of dislo and math physics. Applicants should have on a one-or two-year rotational basis. The cations. A Bachelor's degree in mathematics significant research accomplishments or ex salary ranges from $42,601 to $67,112 per and background in the area of the math ceptional research promise and evidence of annum. ematical treatment of dislocation dynamics good teaching. Ph.D. is required. The average Applications should be submitted as soon in solids (including transient phenomena) are weekly teaching load is 7 1 /2 hours. Gen as possible, but not later than April 15, 1990. required. (Background can be obtained during erous support for faculty development such Applicants should send resume to the Na educational program.) as travel, teaching off-loads and summer tional Science Foundation, Room 208, 1800 Applications with three names of refer research. Send resume and 3 letters of refer G Street, NW, Washington, DC 20550. Attn: ences should be submitted to: Professor ence to James E. Daly, Chairman. Screening Catherine Handle. For further information call S. Nemat-Nasser, Chairman of the Search will begin on Feb. 1, 1990 and continue until 202/357-9681. Hearing impaired individuals Committee, the Center of Excellence for all positions are filled. AA/EEO. Advanced Materials, Department of AMES, should call 202/537-7492. For technical infor R-011, UCSD, La Jolla, CA 92093, before mation, call Dr. Robert F. Watson, 202/357- March 31, 1990. Salary is in strict accordance 9644. NSF is an Equal Opportunity Employer.
MARCH 1990, VOLUME 37, NUMBER 3 355 Classified Advertisements
Florida Atlantic University is strongly com and Applied Mathematics. Strong commit FLORIDA mitted to Affirmative Action and strongly ment to teaching is essential. The official FLORIDA ATLANTIC UNIVERSITY encourages applications from minorities and teaching load is nine quarter coursesjyear, DEPARTMENT OF MATHEMATICS women. but a reduction to seven quarter coursejyear for research is possible. Applicants should Senior Position in Mathematics. Candidates send a vitae and 3-4 letters of recommen should have an established research record dation, at least one of which pertains to and proven ability to attract external research FLORIDA INSTITUTE OF TECHNOLOGY teaching, to Hiring Commitee, Department of support as well as interest in building a Mathematics, 2219 N. Kenmore, Chicago, IL strong research group. Salary is competitive; The Department of Applied Mathematics at 60614. Women and minorities are encouraged teaching load does not exceed 2 courses Florida Institute Technology, invites applica to apply. per semester. Areas of research interest in tions for two anticipated regular positions at the department include Algebra, Analysis, and associate and full professor levels in the area Combinatorics. The department instituted a of nonlinear analysis, numerical and computa new Ph.D. program in 1988 and anticipates tional math, and statistics. Candidates should IOWA filling several junior positions in the next have a distinguished research record and three years. The new senior person of the a strong commitment to teaching. Qualified IOWA STATE UNIVERSITY individuals are invited to send a vita and at Department will be expected to play a major The Department seeks qualified applicants all least three reference letters to Professor V. role in this program. Applicants from for tenure track positions at the assistant fields are invited, but preference will be given Lakshmikantham, Head, Department of Ap plied Mathematics, Florida Institute of Tech professor level in Discrete Mathematics and to those candidates whose interests would in Mathematical Biology and for a tenure track enhance and complement existing research nology, 150 W. University Blvd., Melbourne, FL 32901-6988. Florida Institute of Technol position at the associate or full professor level strength. Applications will be accepted until in Computational Mathematics or Numerical March 31. Send a letter of application and a ogy is an equal opportunity/affirmative action employer. Analysis starting August 21, 1990. The suc curriculum vitae with description of research cessful applicant for the senior position will interests, and arrange for at least three letters be expected to seek outside funding for his of recommendation to be sent directly to: or her research and to interact scientifically Senior Search Committee Chairman with colleagues in other campus departments. Department of Mathematics There will be start up funds available for the Florida Atlantic Univeristy GEORGIA successful applicant for each of the three Boca Raton, FL 33431 VALDOSTA STATE COLLEGE positions. Florida Atlantic University is strongly com We will begin the interview process January mitted to Affirmative Action and strongly Two tenure-track positions in mathematics 15, 1990. However, we shall continue to encourages applications from minorities and and one tenure-track position in mathemat accept applications after that date until the women. ics education at the Asst./Assoc. Prof. level positions are filled. to begin September 1, 1990. Ph.D. required A number of visiting positions in diverse for math positions with special consideration areas are expected to be available also and given to applicants in analysis, probability applications for them are also encouraged. or statistics, applied math and numerical. Women and minorities are encouraged to methods. Terminal degree with strong math apply. Iowa State University is an Affirmative preparation in geometry required for math ed Action/Equal Opportunity Employer. FLORIDA ATLANTIC UNIVERSITY ucation position. A commitment to excellence Applications should be sent to Howard A. DEPARTMENT OF MATHEMATICS in teaching and continued scholarly activity Levine, Chair, Department of Mathematics, required. Iowa State University, Ames, Iowa 50011. Applications are invited for two tenure track Send letter of application and vita to: positions at the Assistant Professor level John W. Schleusner, Head, Department commencing August 1990. Candidates must of Mathematics and Computer Science, Val possess a Ph.D., a strong commitment to dosta State College, Valdosta, GA 31698. research, and demonstrated teaching ability. Application deadline: April 15, 1990, AA/EOE. Salary is competitive. Areas of research KANSAS interest in the department include Algebra, JOHNSON COUNTY COMMUNITY COLLEGE Analysis, and Combinatorics. The department instituted a new Ph.D. program in 1988 and JCCC located in suburban Kansas City antic anticipates filling several positions in the next ipates two entry level Instructor, Mathematics three years. Applicants from all fields are ILLINOIS positions to begin August 1990. Will teach invited, but preference will be given to those DEPAUL UNIVERSITY variety of math courses ranging from Fun candidates whose interests would enhance Department of Mathematical Sciences damentals of Math to Differential Equations. and complement existing research strength. Teaching load will consist of 15 hours per Applications will be accepted until March 31. Applications are invited for a tenure-track semester. Master's in math or math educa Send a letter of application, a detailed resume position at the assistant professor level be tion with bachelor's in math or equivalent, with description of research, and ask three ginning in September, 1990. A Ph.D. in Math 2 years teaching experience, and computer people to send letters of recommendation to: ematics is required. We will consider strong skills required. Community college teaching Recruiting Committee Chairman candidates in any field of research. DePaul experience and experience teaching math Department of Mathematics University is primarily an undergraduate insti via alternative methods or delivery preferred. Florida Atlantic University tution. The Department of Mathematics has Salary will be commensurate with degree Boca Raton, FL 33431 graduate programs in Mathematics Education and experience. Travel funds for interviewing
356 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Classified Advertisements
not available. Review of applications: April arship, commitment to affirmative action and 2, 1990. Send letter of application, tran MINNESOTA the development of faculty, students and staff, scripts, and vita to Human Resources, JCCC, and effective interpersonal and communica UNIVERSITY OF MINNESOTA, DULUTH 12345 College, Overland Park, KS 66210. tion skills. DEAN-COLLEGE OF Non-discrimination employer /EO E. The individual must be eligible for em SCIENCE AND ENGINEERING ployment in the United States at time of Applications and nominations are invited for application. the position of the dean of the College of SALARY: Competitive and negotiable MARYLAND Science and Engineering. Desired starting THE APPLICATION: Interested persons are encouraged to write or call for more UNIVERSITY date is September 1, 1990; however, starting FROSTBURG STATE detailed written information. The application Department of Mathematics date is negotiable. THE UNIVERSITY: UMD is a land grant is due on April 10, 1990, and consists of Actuarial Science. Full-time, tenure track, university with 621 full and part-time faculty, 1) letter of application including a discussion Asst./ Asso. Prof., Fall 1990. To teach 12 7,391 students, and 650 staff members. It of experiences and accomplishments relevant credits undergrad. math per sem., including is a coordinate campus of the University of to this position, 2) a resume, and 3) the upper level actuarial math. Give direction to Minnesota located in an urban area of 90,000 names, addresses, and phone numbers of new actuarial science major. Master's degree on the shores of Lake Superior. three references. and undergrad. math teaching exper., exper. THE COLLEGE: There are eleven depart Applicants, nominations, and inquires are in actuarial science, & at least 1 actuarial ments in the college: aerospace, biology, to be sent to: exam passed, required. Doctorate, Associate chemical processing engineering, chemistry, Dr. Joseph A. Gallian Chair, CSE Dean Actuary in CAS or SOA, preferred. Rank and computer engineering, computer science, ge Search Committee, 420D Darland Administra salary commensurate with credentials and ology, industrial engineering, mathematics tion Bldg., University of Minnesota, Duluth, exper. Teaching exper. & quality of teaching and statistics, military science, and physics. Duluth, MN 55812, Telephone: (218) 726-6349 of prime concern. POSITION AVAILABILITY There are 107 full-time and part-time faculty, The University of Minnesota is an equal PENDING FINAL APPROVAL BY THE LEG 1 ,625 undergraduate and 71 graduate stu opportunity educator and employer and specif ISLATURE OF THE STATE OF MARYLAND. dents, and 37 civil service and professional ically invites and encourages applications from Direct questions to: Dr. Richard Weimer, De staff members. women and minorities. partment Chair, (301) 689-4377. Send letter of THE POSITION: As chief academic officer, interest, resume, transcripts & 3 letters of rec the dean reports to the vice chancellor for ommendation, by 03/31/90, to: Mr. C. Dou academic administration and has leadership glas Schmidt, Director of Personnel Services, responsibilities in matters of the curriculum, NEVADA Frostburg, MD 21532. Women/minorities en budget, personnel, resource management, couraged to apply. AA/EOE. and external relationships. UNIVERSITY OF NEVADA, LAS VEGAS The dean must be committed to the stated The Department of Mathematical Sciences goals of the college: at the University of Nevada, Las Vegas - excellence in undergraduate education has vacancies for Assistant/ Associate/Full MASSACHUSETTS coupled with a positive student experience; - Professor in Mathematics/Statistics; three support for and expansion of faculty schol WORCESTER POLYTECHNIC INSTITUTE tenure-track positions and one lectureship arship; - continued growth of graduate pro (renewable one year appointment) to be grams; - the service and land-grant mission; The Department of Mathematical Sciences gin Fall 1990. Successful candidates will - expansion of cooperative external relation will have several tenure track positions at be expected to participate fully in a re ships. all levels for fall of 1990. These positions search/scholarship program, in undergrad QUALIFICATIONS: Qualified . applicants require a strong research record or potential uate/graduate teaching, in the continuing must have an earned doctorate in science, and evidence of quality teaching. Fields of development of the graduate program, and mathematics, or engineering discipline and interest are numerical analysis, computational in departmental/university service. Lecturers must present a record of academic and fluid mechanics, nonlinear PDE, optimiza teach 12 credits per semester. Qualifications: research accomplishment sufficient to war tion, control theory, optimal design, dynam tenure-track positions require a Ph.D. in Math rant tenure in a senior faculty position in ical systems, applied discrete mathematics, ematics, Statistics, or a related field. Areas the college. Applicants must have adminis operations research, and statisticsjapplied of recruitment are Statistics, Mathematics (all trative experience in higher education at the probability. areas), Applied Mathematics with training in department head level or above with col WPI, the nation's third oldest college of sci Numerical Analysis, Computer Graphics and legiate administrative experience desirable. ence and engineering, offers degrees through dynamical systems, and Computational Math Tenured Associate Professor: doctorate plus the Ph.D. The Mathematical Sciences De ematics. The lectureship position requires an five years professional experience; profes partment currently offers an undergraduate M.S. or M.A. in Mathematics or a related field. sional distinction in research and writing and and master's degree in applied mathemat Rank and salary will be commensurate with demonstrated effectiveness in teaching and ics. Worcester, Massachusetts is the second the candidate's experience and qualifications. advising. Tenured Professor: doctorate plus largest city in New England, approximately 40 The University of Nevada, Las Vegas is a eight years professional experience; national miles west of Boston. growing urban university with an enrollment send a cur reputation and demonstrated effectiveness in Interested applicants should of approximately 16,000 students located in Ill, Head, teaching and advising. riculum vita to: Samuel M. Rankin, metropolitan Las Vegas. The University will The successful candidate shall have demon Department of Mathematical Sciences, 100 house a supercomputer center funded by Applica strated leadership, team-building, decision Institute Rd., Worcester, MA 01609. DOE beginning May 1990. making, and administrative management abil tions will be accepted until the positions are Applicants for the 1990 Fall appointments ities. The search committee is looking for filled. EOE/AA. should submit a letter of application, a current candidates with a strong record of schol- resume, photocopies of transcripts, and four
MARCH 1990, VOLUME 37, NUMBER 3 357 Classified Advertisements
letters of reference to the Search Commit STATE UNIVERSITY OF NEW INCLUDE: Ph.D. in Mathematics. Some ex tee, Department of Mathematical Sciences, YORK/COLLEGE AT OLD WESTBURY perience at the college or university level is University of Nevada, Las Vegas, Las Vegas, FACULTY POSITION preferred. TERMS: Full-time, 9 month tenure Nevada 89154. All files completed by April 15, track position. STARTING DATE: Autumn 1990, will be considered in initial screening. Specialty in one of following preferred: mathe Quarter, 1990. STARTING SALARY: $26,000- Files completed after the deadline will be matics education, algebra or statistics. Mean $33,000; comprehensive benefits package. reviewed only if positions are not filled up. ingful computing exper. desirable. Should be To assure consideration, send vita and three This advertisement supersedes the previous committed to excellence in teaching under letters of reference written directly to the 1989 ad. Proof of Eligibility for U.S. Em graduates & demonstrate research. Ph.D. re search committee by March 30, 1990 to ployment (under the Immigration Reform and quired. Exper. in multicultural higher educ. Chairperson, Mathematics Search Commit Control Act of 1986) will be required prior to institutions desirable. Tenure-track. Rank, tee, cfo Coordinator, Human Resources, The employment. AA/EOE salary commens. with exper. Begins Fall Ohio State University at Newark, University 1990. Resumes reviewed upon receipt. Ap Drive, Newark, OH 43055. OSU at Newark plic. deadline Mar. 10. Send resume & names is an Equal Opportunity1 Affirmative Action of 3 references to: Employer. Office of personnel & Affirmative Action Search Committee MATH State University of New York/College at NEW JERSEY Old Westbury OKLAHOMA Old Westbury, NY 11568-021 0 THE UNIVERSITY OF OKLAHOMA RUTGERS UNIVERSITY, CAMDEN Affirmative Action/Equal Opportunity Employer Applied Non-Linear Analysis The Mathematical Sciences Department seeks Applied Mathematics highly qualified applicants for an anticipated Position (CAPS) Related senior professorship position. Strong re NORTH CAROLINA search credentials and commitment to teach The University of Oklahoma seeks a (tenure ing are necessities. Send resume, at least UNIVERSITY OF NORTH track) Assistant Professor (or higher) with a three letters of recommendation, and se CAROLINA AT CHARLOTTE speciality in Applied Non-Linear Analysis. A lected reprints to: DEPARTMENT OF MATHEMATICS, Ph.D. in Mathematics is required. Expertise Search Committee CHARLOTTE, NC 28223 in fluid dynamics and numerical and com Mathematical Sciences Department putational experience are desirable. Potential Rutgers University Two tenure-track and one or more Visiting for excellence in mathematics teaching and Camden, NJ 08102 positions at Asst/ AssocfFull Prof. level in research is required. Competitive Salary. AA/EOE Mathematics and Statistics, and one senior This position is expected to contribute to AssocfFull Prof. level in Math Education. Rank the mathematical support of the Center for the and salary depend on qualifications. A PH.D Analysis and Prediction of Storms, A Science and a serious commitment to teaching and and Technology Center at the University of research are required. Preferred specialties Oklahoma funded by the National Science are: Algebra, Analysis, Applied Mathematics, Foundation. Math Education, Statistics, but strong candi Applicants should send a letter of ap NEW YORK dates in all areas are encouraged to apply. plication, a complete vita, and have three Also possible are lecturer positions (one or letters of reference sent to: Andy R. Magid, STATE UNIVERSITY OF NEW YORK two year renewable; MA/MS required). Send Chair, Applied Analysis Search Committee, AT BINGHAMTON vitae, list of four references, and abstracts of Department of Mathematics, University of Department of Mathematical Sciences invites current research to Prof. Hae-Soo Oh at the Oklahoma, 601 Elm, Room 423, Norman, applications at all levels for an unexpected above address. Closing date: Feb. 2, 1990, Oklahoma 73019-0315. Closing date for ap opening. Senior applicants must have an out but applications will be considered until the plications is December 20, 1989 and every standing research record. Junior-applicants positions are filled. two weeks thereafter until the position is must show great research promise. All ar UNCC IS AN AFFIRMATIVE ACTION/ filled. The University of Oklahoma is an Equal eas, including statistics and mathematical EQUAL OPPORTUNITY EMPLOYER Opportunity1 Affirmative Action Employer. computer science will be considered. The department has a healthy doctoral program and an attractive future. Vita and letters of OHIO THE UNIVERSITY OF OKLAHOMA recommendation should be sent to: David Department of Mathematics L. Hanson, Chair, Dept. of Math. Sciences, THE OHIO STATE UNIVERSITY AT NEWARK SUNY-Binghamton, Binghamton, NY 13901. Department of Mathematics Applications are invited for one or more Screening of applications will begin on March positions at the Assistant Professor level 15, 1990. The State University of New York ASSISTANT PROFESSOR, MATHEMATICS (or higher) in Mathematics beginning Fall at Binghamton is strongly committed to af The Ohio State University at Newark is seek 1990. Candidates must have a Ph.D. de firmative action. We offer access to services ing an Assistant Professor for a full-time, gree, demonstrated excellence in research, and recruit students and employees without tenure track position in the Mathematics and potential for high-quality teaching. Strong regard to race, color, sex, religion, age, dis Department. DUTIES INCLUDE: Teach un candidates in all areas will be considered, ability, marital status, sexual orientation or dergraduate courses in Mathematics. Ability with preference given to research interests national origin. and willingness to teach elementary statis compatible with those of our current faculty. tics course is desirable. Conduct research Duties include research, normally teaching six and render appropriate Campus, Departmen credit hours per semester, and Departmental tal, and University service. QUALIFICATIONS and University service appropriate to rank.
358 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Classified Advertisements
Salary and rank will be commensurate with and events are found in Houston 85 miles qualifications and experience. There may also TEXAS west. Nearby outdoor recreational opportu be visiting positions. Applicants should send nities include two of the largest freshwater ANGELO STATE UNIVERSITY their vita and have at least three letters of ref lakes in Texas, the Big Thicket National DEPARTMENT OF MATHEMATICS erence sent to Dr. Ruediger Landes, Search Preserve, four national forests, the Gulf of Committee Chair, Department of Mathemat Angelo State University is seeking applica Mexico, and a large inland saltwater lake. ics, University of Oklahoma, 601 Elm, Room tions for a tenure track position at the Assis Salary and rank are commensurate with 423, Norman, Oklahoma 73019-0315. Initial tant Professor level for Fall, 1990. Candidates qualifications and experience. Send a resume screening begins December 15, 1989 and must hold the Ph.D. degree in mathematics. and three letters of recommendation to: Dr. every two weeks thereafter. Applications will Teaching load is twelve hours per semester John R. Cannon, Chair; Department of Math be accepted until the position(s) are filled. at a nine-month salary of $31 ,300 to $34,621, ematics; Lamar University; P.O. Box 10047; The University of Oklahoma is an Affirmative depending upon academic qualifications and Beaumont, TX 77710. Full consideration will Action/Equal Opportunity Employer. college teaching experience, plus opportunity be given to applications received before May for summer teaching at the same monthly 1, 1990. Lamar is an EEO/AA employer. salary rate, and other University benefits. Job requirements include ability to communicate effectively with undergraduate students, ded UNIVERSITY OF TEXAS AT SAN ANTONIO ication to excellence in teaching, and strong OREGON commitment to high academic and profes The Division of Mathematics, Computer Sci sional standards. Inquiries should be directed ence, and Statistics is accepting applications SOUTHERN OREGON STATE COLLEGE position at the assistant to: for a tenure track ASHLAND, OR 97520 professor level in mathematics education. Ap DEPARTMENT OF MATHEMATICS Dr. J. M. Bailey, Head Department of Mathematics plicants must have at least equivalent of a degree in mathematics, and a doc The Mathematics Department anticipates two Angelo State University master's toral degree in mathematics education or a permanent tenure-track positions (one requir San Angelo, Texas 76909 area. Preference will be given to those ing a specialist in Applied Mth) and two Deadline is open but may be closed at any related candidates with a commitment to research one-year lecturer positions beginning Fall of time after April 1, 1990. whose research complements the inter 1990. A Doctorate in Mathematics is required Angelo State University has one of the and ests of the current faculty and those with for the tenure-track positions while a Master's most modern and attractive campuses in experience at the public elementary degree is sufficient for the lecturer positions. the nation and is fully accredited by the teaching or secondary level. Responsibilities include Applicants must have a strong commitment Commission on Colleges of the Southern research, and program develop to teaching undergraduate mathematics and Association of Colleges and Schools. The teaching, ment. have the equivalent of 1 year of college University student body of over 6,400 ranks should submit a resume and level teaching experience. Send applications first among regional universities and third Applicants to have three letters of recommenda by April 15, 1990, to: Dr. Ronald Steffani, among all state universities in Texas in the arrange Chairman, at the above address. SOSC is an high percentile ranking of entering freshmen tion sent to: Chairperson, Search Committee AA/EEO employer. in their high school graduating classes. The University offers one of the largest and most Division of Mathematics, Computer distinctive academic scholarship programs in Science, and Statistics the nation which attracts outstanding students The University of Texas at San Antonio from throughout the world. San Antonio, TX 78285-0664 Angelo State University is an equal oppor The closing date for this position is March 15, PENNSYLVANIA tunity/affirmative action employer. 1990. UTSA is an Equal Opportunity1 Affirmative LAFAYETTE COLLEGE Action Employer. DEPARTMENT OF MATHEMATICS EASTON, PA 18042 LAMAR UNIVERSITY One-year visiting position at the rank of Assis Beaumont, Texas VIRGINIA tant Professor (Ph.D. required) or Instructor The Department of Mathematics seeks appli VIRGINIA POLYTECHNIC INSTITUTE beginning in late August, 1990. Teach 3 under cations for a tenure-track Assistant/ Associate graduate mathematics courses per semester. AND STATE UNIVERSITY Professor position beginning Fall 1990. Appli MATHEMATICAL PHYSICS Lafayette is a small (2000) highly selective cants must hold an earned Ph.D., should be liberal arts and en private college offering active researchers in analysis andfor applied The Center for Transport Theory and Math near Philadelphia and gineering and located mathematics, and have a strong commitment ematical Physics at Virginia Tech anticipates New York. to teaching. a number of openings for visitors during aca of reference, and Send resume, 3 letters Lamar is a state supported educational and demic year 1990-91. Applications in all areas telephone numbers (office and home) to research institution of approximately 12,000 of mathematical physics are invited for all Search Committee. Re Chair, Mathematics students. The Department, which is located or any parts of the year. There may also will begin 3/15/90 and view of applications within the College of Engineering, offers the be possibilities of tenure-track appointments. is filled. Lafayette continue until the position B.A., B.S., and M.S. degrees in Mathematics Appointments may be made at any level, from Opportunity Employer. College is an Equal and has 16 full-time faculty. postdoctoral up. Please send a curriculum Women and minorities are encouraged to For the approximately 250,000 people in vitae and a short description of research apply. the Beaumont area, there are eight museums, plans (for visiting positions only) and arrange a symphony orchestra, ballet, opera, and for three letters of recommendation to be other theatrical productions. Other facilities sent directly to Prof. P. F. Zweifel, Virginia
MARCH 1990, VOLUME 37, NUMBER 3 359 Classified Advertisements
Polytechnic Institute and State University, Telex UNIVAD AA 89141, Facsimile (08) 224 should have an international reputation and a CTIMP-212A Robeson Hall, Blacksburg, VA 0464 not later than 30 April 1990. broad knowledge of recent developments. 24061-0435, USA. VA Tech is an EO/AA em The University reserves the right to make Non Dutch-speakers should be prepared ployer. Women and minorities are encouraged enquiries of any person regarding any candi to learn this language so that teaching can be to apply. date's suitability for appointment, not to make done in Dutch within two years. The University an appointment or to appoint by invitation. of Utrecht would like to employ more women THE UNIVERSITY OF ADELAIDE IS AN and in the case of otherwise equal suitability EQUAL OPPORTUNITY EMPLOYER. a woman will be appointed. Starting date: This position will become vacant at the retirement of Prof. T.A. Springer. AUSTRALIA The new professor will take the chair on 1st March 1991. THE UNIVERSITY OF ADELAIDE CANADA SOUTH AUSTRALIA Salary: According to Dutch civil service SIMON FRASER UNIVERSITY scale B for university professors (from fl. Invites applications from both women and 7.783,- to fl. 12.115,- per month gross). men for the following position: LECTURER/ The Department of Mathematics and Statistics Information: Can be obtained from the SENIOR LECTURER IN PURE MATHEMAT of Simon Fraser University invites applications chairman of the search committee, Prof. J. ICS (Tenurable). (Ref: 6963) in the DE for a tenure track position in Mathematics at J. Duistermaat (tel. -31-30-531513, -31-30- PARTMENT OF PURE MATHEMATICS. The the Assistant Professor level starting Septem 531430); email Duis@math. ruu. nl. Department of Pure Mathematics is engaged ber 1, 1990 or as soon thereafter as feasible Applications: Should be accompanied by in teaching to the Honours degree level (this position is subject to final budget ap a curriculum vitae and a list of publica and maintains an active Ph.D. programme. proval). Applicants will be expected to have tions and sent within four weeks of the The main research and teaching interests of completed a Ph.D. degree at the time of appearance of this advertisement to the vice the Department are in discrete mathemat appointment and to have demonstrated a dean of the Faculty of Mathematics and ics, algebra, finite geometry, number theory, strong teaching and research potential. Ap Computer Science, Prof. J. van Leeuwen, convexity, geometric analysis, differential and plicants should have research interests in the P.O. Box 80.010, 3508 TA Utrecht; email algebraic geometry, analysis and applications areas of Algebra and/or Discrete Mathemat Duis@math. ruu.nl. Please mention the refer (including mathematical physics) and math ics. Applications, including curriculum vitae, ence number vac. 478./62013. ematics of communication. The Department should be sent to: Dr. A. R. Freedman, Chair, Persons who would like to draw the at has recently introduced new graduate certifi Department of Mathematics and Statistics, tention of the search committee to possible cates in the areas of communications and Simon Fraser University, Burnaby, BC V5A candidates are warmly invited to write to its mathematical education. 156 Canada. Please arrange for three let chairman. Applicants should be effective undergrad ters of reference to be sent directly from With equally qualified applicants prefer uate teachers and have proven research the referees. The deadline for applications is ence will be given to a woman. capability in Pure Mathematics. Applicants April 30, 1990. In accordance with Canadian would normally be expected to be holders of immigration requirements, this advertisement a Ph.D. degree. is directed in the first instance to Canadian The position is available from 1 July 1990. citizens and permanent residents of Canada, UNITED KINGDOM Further information concerning the duties however, other qualified persons are encour of the position may be obtained from the aged to apply. Applications from women and UNIVERSITY OF STIRLING Chairperson, Dr. D. Parrott, Department of minority groups are particularly welcome. Division of Computing Pure Mathematics, telephone (08) 228 5079. Science and Mathematics It is University policy to encourage women Chair in Mathematics and its Applications to apply for consideration for appointment to tenurable academic appointments. Holders This new Chair is in the School of Accoun of full-time tenured or tenurable academic THE NETHERLANDS tancy, Business, Computing and Economics. appointments have the opportunity to take UNIVERSITY OF UTRECHT, Candidates should be mathematicians who leave without pay on a half-time basis for a THE NETHERLANDS can develop the applications of Mathematics specific period of up to ten years when this is within the School, and within the University necessary for the care of children. The University of Utrecht is looking for a generally. Relevant research interests include INFORMATION about the general condi full-time Professor in pure mathematics in Applied Combinatorics, Operational Research tions of appointment and selection criteria the department of mathematics, faculty of and Statistics. The successful candidate will may be obtained from the Senior Assistant mathematics and computer science. provide academic leadership to the mathe Registrar (Personnel) at the Univeristy. The tasks of the professor will be: - maticians in the Division, and will promote SALARY per annum: Lecturer: A$32, 197 carrying out research in pure mathematics, new growth in mathematics in the Univer x 7 -A$41 ,841; Senior Lecturer: A$42, 703 x supervision of PhD students - participation sity. A new multi-disciplinary programme in 5-A$49,529 in both the general and specialized teaching Mathematics and its Applications is planned APPLICATIONS, IN DUPLICATE, quoting duties of the department - contribution to the for Autumn 1990, to be supported by further reference number 6963 and giving full per organizational work of the faculty lecturing appointments. sonal particulars (including whether candi Qualifications: The to be appointed pro Stirling is a young and active University in dates hold Australian permanent residency fessor will be an expert in a central and Central Scotland, with an attractive campus. status), details of academic qualifications important part of pure mathematics. The ac The appointment will be on the Professorial and names and addresses of three referees tual area of specialization is less important salary scale. should reach the Senior Assistant Regis than general scientific qualities, capacity to Applications in the form of a C.V., to trar (Personnel) at the University of Adelaide, stimulate, and the ability to bring different ar include the names of 3 referees, should be GPO Box 498, Adelaide, South Australia 5001, eas of mathematics into contact. Candidates sent to the University Secretary, University
360 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY ARIZONA STATE UNIVERSITY Department of Mathematics The Department of Mathematics invites of Stirling, Stirling FK9 4LA, Tel 0786 73171, applications for tenure-track and visiting at all ranks and in.all areas extension 2250, from whom further particulars faculty positions of mathematics beginning in August 1990. are available, by 31 March 1990. The Department is in the third year of a major THE CHINESE UNIVERSITY development program intended to build OF HONG KONG nationally recognized research groups of four to seven faculty members in Computational Professor of Mathematics Mathematics, Differential Equations (Ref. no. 110/509/2/89) (including POE's), Discrete Mathematics, Dynamical Systems, Operator Theory, The University and Number Theory, Algebraic Geometry The University offers comprehensive program Systems and Control and Probability and mes of studies up to PhD level in the Humanities, Statistics. During the past two years. 12 Business Administration, Science, Medicine, So tenure-track or tenured appointments have PUBLICATIONS WANTED cial Science, Education, Engineering and from been made and we anticipate making at least 1991 Architecture. The University currently has 5 appointments during each of the next three students and a academic years. over 7, 700 full-time equivalent Wanted: Mathematical books, journals, re rnajor ex pans ion in the next three years is expected. prints, ephemera. Contact R. K. Dennis, For 1990. the majority of the tenure-track The University is very active in promoting research Math. Dept., White Hall, Cornell U., Ithaca, appointments will be made at the Assistant and development and liaising with industry and the NY 14853-7901. Tel: 607-255-4027, FAX: 607- Professor level. To be considered for such an business sector worldwide. Both English and Chi 255-7149. e-mail: appointment, the candidate must demonstrate nese are used in teaching and administration. [email protected] potential for outstanding research while providing effective teaching at both the under graduate and graduate levels in a public university environment. For candidates at The Professorship the Associate Professor level. additional A Professor is at the top of the University teach requirements include a proven record of ing profession. By virtue of his/her distinguished outstanding research accomplishments and scholarship, prominent contributions and invalu versatile and effective teaching. At the Full able service in the academic discipline concerned, Professor level, applicants should be he/she is expected to provide leadership to the recognized nationally for the quality and scope teaching and research programmes in his/herfie1d of their research and leadership activities. and play a major part in the planning and develop SITUATIONS WANTED Salaries are competitive and commensurate ment of his/her academic discipline. Candidates with experience and qualifications. forthe post should have excellent academic quali teaching and rele TEACHING MATHEMATICIAN. PH.D In support of its research and graduate fications, extensive university 1982. AGE 38 education programs, the Department has vant research experience and have published installed an Advanced Computing Facility scholarly works of originality and merit. Speciality: Differential Equations. 5 published centered around a network of Titan Mini articles. 15 years experience in teaching and Super Graphics computers plus a clusier of research in U.S.A. and abroad. Excellent Work Stations. Research efforts were Remuneration and Benefits access to the University's students and peer evaluations of classes. enhanced by direct The University offers a competitive remunera and IBM 3090-SOOE/VF References and resume available upon re CRA Y XMI'-14/se tive package. Salary will be commensurate with super computers. quest. Available immediately. M. Abbassi, 500 qualifications and experience, with a minimum of Tulip Rd., State College, PA 16801 Arizona State University has more than43.000 IIK$43,210 per month. For superannuable ap students and is located in the rapidly growing pointment, benefits will include long leave with Phoenix Metropolitan area-a center of full-pay at the rate of one-sixth of the period of business, finance and high technology. The service, contributory superannuation scheme valley offers a wide range of educational, (University 15%, appointee 5%), medical care, cultural and recreational opportunities. education allowances for children, housing bene Pleasant and convenient housing is widely fit (with appointee contributing 7.5% of salary available near the university campus. towards rental) and leave passage benefits for Appointment may also Applications should be received by appointee and dependants. with December l, 1989, and the Department be made on a variety of ftxed-term contracts a contract-end gra Mathematician with 15 years experience in will begin to review applications as of this equivalent benefits including benefits will be packaged flexibly teaching and research is seeking a (possibly date. The deadline will be extended on a tuity. Fringe including cash payment options subject to mutual temporary) position. Ph.D. 1978, Analysis and month-to-month basis until all available are filled. agreement. Retirement age is 60 but appointment Operator Theory, 20 publications. Available positions may be extended beyond 60 subject to mutual Respond to ap July 1990. Fluent Russian. Applicants should send their resumes and agreement. plicant, Code 920, Advertising Department, arrange for at least three letters of AMS, P.O. Box 6248, Providence, Rl 02940. recommendation to be sent to: William T. Trotter, Chair, Department of Application Procedure State University, Mathematics, Arizona Application, together with full resume and the Tempe, AZ 85287-1804. AA/EOE names and addresses of three referees, should be forwarded to the Secretary of the University, The Chinese University of Hong Kong, Shatin, N. T., Hong Kong by April 30, 1990. Please quote the ARIZONA STATE UNIVERSITY reference number and mark 'Recruitment' on cover. Applications submitted after April 30, 1990 may also be considered if the post or com parable posts are available.
361 University of Wyoming Rocky Mountain Mathematics Consortium Regional Summer School The following are the 52 mathematicians who ENRICHING DISCRETE MATHEMATICS COURSES WITH RECENT DEVELOPMENTS 1 signed the letter which appears on page 263 , concerning the June 4, 1989 massacre in. Beijing, July 16 - August 3, 1990 The course will address selected important and recent developments in I China. mod --··-·-. ______j discrete mathematics. The goal is to more quickly incorporate such ern discoveries in this rapidly expanding field into college courses at all I William B. Arveson Henry Helson RichardS. Palais grade levels. Many new advances are in fact highly suitable for enrich ing and modernizing basic courses. Both fundamental theoretical results Michael F. Atiyah Heisuke Hironaka Murray H. Protter will be covered. Some of the topics to 1 and contemporary applications Hyman Bass Wu-chung Hsiang A. Schatz be included are: developments on the marriage problem and fair divi Lipman Bers Wu-yi Hsiang Michael Schneider sion schemes, Hamiltonian cycles for binary trees (the Catalan numbers), Lenore Blum Jiunn T. Hwang Richard M. Schoen the famous labeling lemmas of Sperner and Tucker with applications to Armand Borel Victor Kac Bernard Shiffman labeling and path following algorithms for finding equilibrium and fixed points, the combinatorial structure for power indices in political science, Raoul Bott Anatole Katok Katsuhiro Shiohama and combinatorial aspects of polytopes. James H. Bramble Jerry L. Kazdan Yum-Tong Siu PREREQUISITES: Familiarity with basic linear algebra and some expo : Robert Freeman Brown Robion C. Kirby Stephen Smale sure to elementary discrete mathematics is desirable. I Andrew J. Casson Joseph J. Kohn Frank L. Spitzer SPEAKERS: William F. Lucas, The Claremont Graduate School, will lec , Sun-Yung Alice Chang Tsit-Yuen Lam Elias M. Stein ture during the three weeks. Carl W. Lee, The University of Kentucky, will I John P. D'Angelo Thomas M. Liggett Chuu-Lian Terng lecture throughout one week. A few additional lectures will be presented Peter L. Duren Saunders Mac Lane Francois Treves by distinguished experts in the subject. [ Richard T. Durrett Ani! Nerode Alan D. Weinstein ADMISSION AND SCHOLARSHIPS: Entry into the summer school is are qualified and are admit Edward G. Effros Junjiro Noguchi Guido L. Weiss restricted, but is without charge to those who ted. National Science Foundation funding which consists of a stipend plus I Doris Fischer-Colbrie Takushiro Ochiai Hung-Hsi Wu living costs is available for selected faculty. A limited number of scholar Wolfgang H. Fuchs 0. Timothy O'Meara Paul C. Yang ships, covering living costs, are available for qualitied graduate students.
1 Ian Graham For further information and application forms, please write to: Professor A. Duane Porter - Mathematics Department Box 3036- University of Wyoming Laramie, Wyoming 82071
UNIVERSITY OF CAPE TOWN Dept of Applied Mathematics: Leo Tames TEX Senior Lecturer /Lecturer With Leo you can write mathematics and see it screen as you type. Leo displays Applications ore invited for the above post. The field of interest is on your PC's unrestricted, though the Deportment is keen to strengthen and special symbols, fractions, matrices, square roots, complement its existing interests in Numerical Analysis, super and sub scripts, fonts, accents. Matrices, Differential Equations and Variational Methods, Continuum Mechanics, Biomathematics and General Relativity. parentheses, braces, etc. automatically adjust to A negotiable salary package includes attractive staff benefits such the required size. Leo reads and writes TEX files. as medical old, a pension scheme and a housing subsidy in Print with Leo draft printer, or with your TEX certain circumstances. Further details concerning remuneration will be sent to applicants on request. program. Convenient menu and control key oper The rank of the successful incumbent will be decided upon on the ation. Requires IBM PC or compatible with 512k. basis of qualifications and experience; applicants should Indicate Specify AMSTEX or LATEX. $150. MC/VISA or in their letters of application the rank at which they wish to be considered. check. A full curriculum vitae, and the names, addresses and telephone numbers of three referees, should be submitted not later than 28 February 1990 (late applications will be considered up to 30 Draft printing matches screen display: March 1990), to the Appointments Officer, (ref. N.P.) University of Cope Town, Rondebosch 7700, Republic of South Africa, cos9 -sin9 (21) 650-2192; telefox: (21) 650-2138). Further [ l (telephone: information may be obtained from the above, or from the sin9 cos9 Counsellor, Science and Technology, South African Embassy, Suite 350, 4801 Massachusetts Avenue, NW Washington DC 20016. The firm policy and practice of the University of Cope Town is to ABK Software oppose discrimination In any sphere of university life on grounds of 4495 Ottawa Place gender, race or creed. UCT has consistently protested, and continues to protest against apartheid lows and practices and Is Boulder, CO 80303 committed to a just future for our country. Information on this is (303)-494-4872 available on request. C67488i1067-0
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Now through Sept. 1, 1990, AMS members have the opportunity to Birkhii.user's CONTEMPORARY purchase the following collected works of outstanding mathematicians MATHEMATICIANS SERIES at these special low prices: brings together the often scat tered or inaccessible works and Lars Valerian Ahlfors: Theodore S. Motzkin: Selected Papers papers of outstanding mathe Collected Papers D. Cantor, B. Gordon, B. Rothschild, eds. maticians into organized and Lars V. Ahlfors, ed. ISBN 0-8176-3087-2 annotated volumes that allow 2 Volume Set: ISBN 0-8176-3077-5 List Price: $74.50 unique historical, biographical List Price: $145.00 Sale Price: $49.00 and mathematical perspectives to emerge. It is edited by Sale Price: $90.00 Gian-Carlo Rota. Jakob Nielsen: Collected Papers Garrett Birkhoff: Selected Papers V. Hansen and F. Topsoe, eds. on Algebra and Topology 2 Volume Set: ISBN 0-8176-3152-6 G.C. Rota and]. Oliveira, eds. List Price: $145.00 Works of lasting significance for ISBN 0-8176-3114-3 Sale Price: $90.00 your pe_rsonal or institutional List Price: $78.00 library Sale Price: $49.00 1.]. Schoenberg: Selected Papers Carl de Boor, ed. Kurt Otto Friedrichs: 2 Volume Set: ISBN 0-8176-3378-2 Collected Papers List Price: $150.00 Cathleen Morawetz, ed. Sale Price: $90.00 2 Volume Set: ISBN 0-8176-3270-0 List Price: $200.00 Gabor Szego: Collected Papers Sale Price: $90.00 Richard Askey, ed. 3 Volume Set: ISBN 0-8176-3063-5 Fritz john: Collected Papers List Price: $210.00 ]urgen Moser, ed. Sale Price: $140.00 Available only through the AMS. 2 Volume Set: ISBN 0-8176-3265-4 List Price: $195.00 Alfred Tarski: Collected Works Sale Price: $90.00 S. Givant and R. McKenzie, eds. 4 Volume Set: ISBN 0-8176-3284-0 Shizuo Kakutani: Selected Papers List Price: $630.00 Robert Kallman, ed. Sale Price: $400.00 2 Volume Set: ISBN 0-8176-3279-4 List Price: $230.50 Sale Price: $90.00 Please send all orders directly to the American Mathematical Society, Charles Loewner: Collected Works P.O. Box 6248, Providence, RI 02940 Lipman Bers, ed. or call toll free 800-321-4AMS (321-4267) in the continental U.S. and Canada to charge ISBN 0-8176-3377-4 with VISA or MasterCard. List Price: $79.00 Sale Price: $49.00 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.
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The Department ofMathematic's 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; BITNET 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 fonns and further information on tenns 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 BITNET to: PERSDEPT @ NUSVM, or through Telefaz: (65) 7783948 Spinors, Fractals, et cetera
Principles of Real Analysis Numerical Analysis Spontaneous Phenomena Second Edition An Introduction Flemming Tops0e Charalambos D. Aliprantis and Lars Elden and Linde Wittmeyer-Koch In this very instructive book, written with Owen Burkinshaw This book is intended for an introductory imagination and flair, the author investi This major textbook on real analysis is course in numerical analysis at the junior gates the question of spontaneous versus now available in a corrected and slightly or senior undergraduate level. The authors deterministic phenomena using techniques amended reprint. It covers the basic theory cover a wide range of topics, including of mathematical modeling. The model of integration in a clear, well-organized classical algorithms for the solution of developed in the main text is applicable in manner using an imaginative and highly nonlinear equations and for linear systems various contexts which are outlined with practical synthesis of the "Daniell and methods for interpolation, integration, examples from biology, medicine, sta method" and the measure-theoretic and approximation. tistics of accidents, determination of age, traffic analysis, and other areas. approach. April1990, 360 pages, $39.95 (tentative) February 1990,304 pages, $39.95 ISBN: 0-12-236430-9 December 1989, 200 pages, $29.95 ISBN: 0-12-050255-0 ISBN: 0-12-695175-6 Analysis, et cetera Problems in Real Analysis Spinors and Calibrations A Workbook with Solutions Research Papers Published in Honor of Jiirgen Moser's F. Reese Harvey Charalambos D. Aliprantis and Owen Burkinshaw 60th Birthday This book uses many facets of differen edited by tial geometry as its motivation to provide a This selection of problems and solutions Paul H. Rabinowitz and Eduard Zehnder collection of examples. They range from in real analysis can be used as an inde This volume contains a group of care (simple) Lie groups to spin groups and pendent source and will be an invaluable fully selected papers dedicated to Jiirgen normed algebras for general signature, tool for students who wish to develop a Moser on the occasion of his 60th birth including the exceptional groups G and F deep understanding and acquire profi day. The list of contributors and the choice and the special Lagrangian and associative ciency in the use of integration methods. of the material reflects Professor Moser's calibrations. January1990, 296 pages, $29.95 standing in the mathematical community This book will be a welcome supplement ISBN: 0-12-050256-9 and the broad range of his interests in to standard texts on Lie theory because it cluding partial and ordinary differential provides an unusually thorough treatment Fractals Everywhere equations, dynamical systems, and of nonstandard examples. It provides differential geometry. concrete material to those who study and Michael Barnsley January 1990,712 pages, $69.95 contribute to the interesting developments A mathematical text written with clarity, ISBN: 0-12-574249-5 in spin geometry and Twistor theory with joy, and enthusiasm." applications to general relativity. -NEW TECHNICAL BOOKS generatingfunctionology February 1990,336 pages, $39.95 1988,424 pages, $39.95/ISBN: 0-12-079062-9 ISBN: 0-12-329650-1 Herbert S. 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CALL TOLL FREE 1·800·321·5068 IWrite for a free brochure I Quote this reference number for free postage and handling on your prepaid order • 30030 Prices subject to change without notice. e1990 by Academic Press, Inc. All Rights Reserved. TC/MJD- 30030. The Emperor's New Mind New in p_gp_erback Concerning Computers, Minds, and the Laws of Physics Spectral Theory and Differential Operators ROGER PENROSE D.E. EDMUNDS and W D. EVANS "Penrose takes us on perhaps the most engaging and creative tour This comprehensive volume provides an up-to-date account of of modern physics that has ever been written .... the reader might those parts of the theory of bounded and closed linear operators in feel privileged indeed to accompany Penrose on his magical mys Banach and Hilbert spaces relevant to spectral problems involving tery tour. "-Sunday Times differential equations. 1990 • 480 pages •144 ill us. • $24.95 (Oxford Mathematical Monographs) 1987 (paper 1989) • 592 pages •3 illus. The Interface of Mathematics and cloth $115.00/paper $49.95 Particle Physics Perfect Groups D.G. QUILLEN, G.B. SEGAL and S.T. TSOU DEREK E HOLT and W PLESKEN An up-to-date survey of the current research and advances in Approaching the subject from both a theoretical and practical particle physics, with an emphasis on the crucial interaction be standpoint, this book includes discussion of the classification of tween theoretical physics and mathematics. finite perfect groups of small order and the use of infinite perfect (The Institute of Mathematics and its Applications Conference groups to construct infinite sequences of finite perfect groups. Series, New Series 24) (Oxford Mathematical Monographs) 1990 • 240 pages • 7 ill us. • $49.95 1989 • 376 pages • 4 illus. • $70.00 Disorder in Physical Systems Brauer Trees of Sporadic Groups A Volume in Honour of John Hammersley G. HISS and K. LUX G.R. GRIMMETT and D.J.A. WELSH Collects together for the first time the Brauer trees of the sporadic A unique survey of the current state of mathematical research in simple groups and their covering groups, as far as they are known. the field of random phenomena, including information on percola The authors first describe the construction of Brauer trees and the tion theory, random networks, lattice animals, stochastic geome principal methods for their computation. The rest of the book is try, diffusions, covering problems, Monte Carlo methods, and devoted to the description of the trees and the associated block operations research. information and projective tables. 1990 • 392 pages • 26 ill us. • $70.00 1.989 • 544 pages • 9 illus. • $75.00 The Penrose Transform The Asymptotic Solution of linear Its Interaction with Representation Theory Differential Systems ROBERT J. BASTON and MICHAEL G. EASTWOOD Application of the Levinson Theorem This volume includes much original research concerning the Pen M.S.P. EASTHAM rose Transform, with special attention to the twistor theory of The modern theory of linear differential systems dates from the Minkowski space. Levinson Theorem of 1948. It is only in more recent years, however, (Oxford Mathematical Monographs) that the significance and range of applications of the theorem have 1990 • 232 pages • illu~. • $47.50 become appreciated. This book gives the first coherent account of the extensive developments of the last 15 years, drawing together many diverse materials that should provide a stimulus to further The Restricted Burnside Problem research. MICHAEL VAUGHAN-LEE (London Mathematical Society Monographs, New Series 4) Since 1902, the Burnside Problem has inspired much productive 1989 • 256 pages • $63.00 research. This book provides the first comprehensive account of the many recent results concerning an important variant of the Newly revised problem. The treatment is intended to be self-contained and will Discrete Mathematics Revised Edition be an invaluable introduction for postgraduate students and re NORMAN L. BIGGS search workers. This carefully structured text provides a comprehensive, straight (London Mathematical Society Monographs, New Series 5) forward treatment of discrete mathematics. The author's 1990 • 224 pages • $50.00 traditional, deductive approach avoids unnecessary abstraction and covers a wide range of topics, from graph theory and com lie Groups, Convex Cones, and Semigroups binatorics to number theory, coding theory and algebraic methods. JOACHIM HILGERT, KARL HEINRICH HOFMANN, and The revised edition incorporates changes suggested by instructors JIMMIE D. LAWSON already using the text. This is the first and only reference to provide a comprehensive 1990 • 496 pages •120 ill us. • $39.95 treatment of the Lie theory of subsemigroups of Lie groups. Uniquely accessible and requiring little specialized knowledge, The Schwarz Lemma the book includes information on the infinitesimal theory of Lie SEAN DINEEN subsemigroups, and a characterization of those cones in a Lie This volume reflects the profound impact of the century-old algebra which are invariant under the action of the group of inner Schwarz lemma on contemporary complex variable theory and automorphisms. functional analysis. (Oxford Mathematical Monographs) (Oxford Mathematical Monographs) 1989 • 688 pages • 50 ill us. • $98.00 1989 • 264 pages • 8 ill us. • $49.95
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Frobenius. Reiner's style is precise and agreeable to the Irving Reiner reader, his arguments always to the point, in one word, masterly."- Paulo Ribenboim, F.R.S.C., Queen's Univer Selected Works sity, Kingston, Ontario. Edited by Gerald}. Janusz "The subject matter of Reiner's work is still pursued inten- sively by a good part of the mathematical population, and '-- ~ the availability of Reiner's important and original research The papers of Irving Reiner reproduced here represent a part of the life's work of a dedicated and influential math in one source will be appreciated by many working math ematician. His early papers were concerned with groups ematicians."- Morris Newman, University of California, of invertible matrices over integral domains and their Santa Barbara; author of Integral Matrices. automorphisms. These studies led naturally to the study "A richly deserved tribute to Professor Reiner's life-long of integral representations of groups and orders with at research on integral representation theory, and to the deep tempts to classify their representations using Grothen dieck rings and their relative versions, Picard groups, and and lasting influence his work exerted on the modern class groups. His later papers dealing with zeta-functions development of that subject."- T. Y. Lam, University of r-,_ bring quantitative methods and new ideas to the repre California, Berkeley. sentation theory. The influence of Reiner's work is most Cloth, $70.00. strongly felt by research mathematicians interested in problems related to integral representation theory. Order toll free 800/666-2211, or from "This volume embodies work that is now classic and fol lows the tradition of the great masters, like Schur and n University of Illinois Press l U c/o CUP Services • P. 0. Box 6525 .Ithaca, NY 14851 I l • I I
Alan Hastings, Editor difference equations form a common theme. The topics (Lectures on Mathematics in the Life Sciences, Volume 20) covered are cultural evolution, multilocus population genetics, spatially structured population genetics, chaos and the Population biology has had a long history of mathematical dynamics of epidemics, and the dynamics of ecological modeling. The 1920s and 1930s saw major strides with communities. the work of Lotka and Volterra in ecology and Fisher, Haldane, and Wright in genetics. In recent years, much more 1980 Mathematics Subject Classifications: 92A 10, 92A15 sophisticated mathematical techniques have been brought ISBN 0-8218-1170-3, LC 89-15119 to bear on questions in population biology. Simultaneously, ISSN 0075-8523 136 pages ( softcover), September 1989 advances in experimental and field work have produced a Individual member $17, List price $28, wealth of new data. While this growth has tended to fragment Institutional member $22 the field, one unifying theme is that similar mathematical To order, please specify LLSCI/20NA questions arise in a range of biological contexts. All prices subject to change. Shipment will be made by surface. This volume contains the proceedings of a symposium on For air delivery add, 1st book $5, each additional book $3, max Some Mathematical Questions in Biology, held in Chicago in imum $1 00. Prepayment required. Order from American Math 1987. The papers all deal with different aspects of population ematical Society, P.O. Box 1571, Annex Station, Providence, RI biology, but there are overlaps in the mathematical techniques 02901-1571, or call toll free 800-321-4AMS (321-4267) in the used; for example, dynamics of nonlinear differential and U.S. and Canada to charge with VISA or MasterCard. CBMS CONFERENCE BOARD OF THE MATHEMATICAL SCIENCES Issues in Mathematics Education
The AMS is pleased to announce a new book series: The Conference Board of the Mathematical Sciences {CBMS): Issues in Mathematics Education Series published in cooperation with the Mathematical Association of America. The purpose of this new series is to stimulate the flow of information among mathe matical scientists, mathematics educators, and mathematics teachers about innovative efforts to revitalize the teaching of mathematics and statistics at al.llevels. The inaugural volume of CBMS Issues in Mathematics Education is described below. Standing orders are accepted for 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 or for any other AMS series, please contact Customer Services. MATHEMATICIANS AND EDUCATION REFORM Naomi Fisher, Harvey Keynes, and Philip Wagreich, Editors (CBMS Issues in Mathematics Education, Volume 1)
Educational issues are receiving unprecedented attention in the broad mathematical sciences commu nity, as mathematicians and other scientists have become concerned about the quality of instruction in the nation's schools, colleges, and universities. A mathematically literate population is crucial to supporting our increasingly technological society. In addition, the mathematical sciences community faces the challenge of increasing the number of students who are prepared to pursue a career in mathematics, science, or engineering. This challenge requires not only raising the quality of mathematics education, but also showing students the beauty and useful ness of the subject. In these ways, mathematical scientists can make crucial contributions to educational reform. In response to these concerns, the Conference Board of the Mathematical Sciences has launched a new book series published by the American Mathematical Society in cooperation with the Mathematical Association of America entitled Issues in Mathematics Education. The purpose of this new series is to stimulate the flow of infor mation among mathematical scientists, mathematics educators, and mathematics teachers about innovative efforts to revitalize the teaching of mathematics and statistics at all levels. The present volume, Mathematicians and Education Reform, the first in this new series, contains the proceedings of the Mathematicians and Education Reform workshop held in July 1988, at the University of Illinois at Chicago. The workshop provided an opportunity for participants to share ideas about the various ongoing pre college projects organized and directed by mathematicians and to reflect on the most effective ways that mathe maticians can contribute to educational reform. The major part of the proceedings is devoted to in-depth articles that explore the process of designing an educational project. A section on issues and reactions presents a forum for exchanging ideas on more general issues. From practical information about organizing a program to exploration of the intellectual issues of educa tional reform, this volume presents a range of views on various aspects of the involvement of mathematicians in educational change. While it will prove especially useful for those considering involvement in an educational program, this book is also important reading for the entire community, for the issues explored here will be of increasing importance for the future of the mathematical sciences. 1980 Mathematics Subject Classification: 00 ISBN 0-8218-3500-9, LC 89-18601, ISSN 1047-398X 217 pages {softcover), January 1990 All Individuals $21, List price $35, To order, please specify CBMATH/1 NA
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, AI 02901-1571, or call toll free 800-321-4AMS {321-4267) in the U.S. and Canada to charge with VISA or MasterCard. Application for Membership 1990
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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 impor tant 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 Univer and proceed to the topology and geometry of foliated sity Lecture Series, is based on lectures presented at 3-manifolds. They also explain, in terms of general Pennsylvania State University in February 1987. position, why four-dimensional space has special The Lectures attempt to give a taste of the accom attributes, and they examine the insight Donaldson plishments of manifold topology over the last 30 theory brings. The book ends with a chapter on exotic years. By the late 1950s, algebra and topology had structures on R4, with a discussion of the two compet produced a successful and beautiful fusion. Geo ing theories of four-dimensional manifolds, one topo metric methods and insight, now vitally important logical and one smooth. 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 1 wishing a not-too-technical introduction to this vital structures and the Gauss-Bonnet theorem, area of current research.
Standing orders are accepted for 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 401-455-4000.
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 79 pages (softcover), December 1989 Mathematical Society, P.O. Box 1571, Annex Station, Individual member $20, List price $33, Providence, RI 02901-1571, or call toll free 800-321-4AMS Institutional member $26 (321-4267) in the U.S. and Canada to charge with VISA To order, please specify ULECT/INA or MasterCard. Co01putational Aspects of VLSI Design with an Emphasis on Semiconductor Device Simulation Randolph E. Bank, Editor (Lectures in Applied Mathematics, Volume 25)
Numerical simulation is rapidly becoming an important part of the VLSI design process, allowing the engineer to test, evaluate, and optimize various aspects of chip design without resorting to the costly and time-consuming process of fabricating prototypes. This procedure not only accelerates the design process, but also improves the end product, since it is economically feasible to numerically simulate many more options than might otherwise be considered. With the enhanced computing power of today's computers, more sophisticated models are now being developed.
This volume contains the proceedings of the AMS-SIAM Summer Seminar on Computational Aspects of VLSI Design, held at the Institute for Mathematics and Its Applications at the University of Minnesota, in the spring of 1987. The seminar featured presentations by some of the top experts working in this area. Their contributions to this volume form an excellent overview of the mathematical and computational problems arising in this area.
1980 Mathematics Subject Classification: 35G, 65L, 65M, 65N ISBN 0-8218-1132-0, LC 89-18355, ISSN 0075-8485 200 pages (hardcover), February 1990 Individual member $32, List price $53, Institutional member $42 To order, please specify LAM/25NA
All prices subject to change. Shipment will be made by surface. For air delivery add, I st 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 (321-4267) in the U.S. and Canada to charge with VISA or MasterCard. Cames and Economic Behavior publishes original and survey papers dealing with game-theoretic modeling in the social. biologi GAMES and cal. and mathematical sciences. Papers published are mathematically rigorous as well as accessible to readers in related fields. The purpose of the journal is to facilitate cross-fertilization between the theory . ·Economic and application of game-theoretic reasoning. 1 Behavior A Representative Selection of Articles
Robert J. Aumann and Sylvain Sorln Cooperation and Bounded Recall ltzhak Cllboa and Eltan Zemel Nash and Correlated Equilibria: Some Complexity Considerations Nimrod Meglddo Editor On Computable Beliefs of Rational Machines Ehud Kalai Alvin E. Roth Northwestern University, Evanston, Illinois Two-Sided Matching with Incomplete Information about Others' Preferences
Volume 2 (1990), 4 issues In the U.SA. and Canada: $100.00 ISSN 0899-8256 All ather countries: $122.00
IMPACT of computing In Science and Engineering focuses on articles from the areas of mathematical and scientific modeling, IMPACI~ scientific computing, computer science, and scientific and engineer OF COMPUTING ing applications. IN SCIENCE AND A Representative Selection of Articles o. Plronneau and J. Rappaz ENGINEERING Numerical Analysis for Compressible Viscous Isentropic Stationary Flows William D. Cropp and David E. Keyes Managing Editor Domain Decomposition on Parallel Computers H. Melenk, H. M. MOIIer. and w. Neun Peter oeuflhard Symbolic Solution of Large Stationary Chemical Kinetics Problems Konrad Zuse Center, Berlin, Federal Republic of Germany w. Huamo and v. Shull A New Class of Accurate High Resolution Schemes for Conservation Laws Editorial Board in Two Dimensions lvo Babu~ka, Franco Brezzi, Jack Dongarra, lain Duff, Albert M. Erisman, Feng Kang, Volume 2 (1990), 4 issues In the U.SA and Canada: $80.00 James Glimm, Wolfgang Hackbusch, ISSN 0899-8248 All ather countries: $92.00 Anthony c. Hearn, Willi Jager, Egon Krause, Simon Levin, Oliver McBryan, James Murray, Olivier Pironneau, Werner Rheinboldt, Ulrich ll'ottenberg, JOrgen Warnatz 50120
Somple copies and privileged personal rates are ACADEMIC PRESS, INC., Journal Promotion Department available upon request. 1250 Sixth Avenue, San Diego, CA 92101, U.S.A. For more information, please write or call: (619) 699-6742 • All prices ore in U.S. dollars ond ore subject to change without notice. P. Protter, Purdue University, West Lafayette, IN R.V. Gamkrelidze, Steklov Mathematical Institue, Stochastic Integration and Moscow, USSR (Ed.) Differential Equations Analysis II A New Approach Convex Analysis and Approximation Theory Translated from the Russian by D. Newton Presents a rapid introduction to the modem semimartingale theory of stochastic integration and differential equations, Develops the main notions of convex analysis and its without first having to treat the beautiful but highly relationship to optimization problems, the calculus of technical "general theory of processes." The author's new variations, optimal control and geometry. It then discusses approach (based on the theorem of Bichteler-Dellacherie) the evolution of the ideas underlying approximation theory. also gives a more intuitive understanding of the subject, and It is intended for a wide range of readers: students who want permits proofs to be much less technical. to acquaint themselves with these two trends in mathemati All of the major theorems of stochastic integration are cal analysis; professors teaching mathematical analysis, op given, including a comprehensive treatment of local times. timization and numerical methods; and also researchers in A theory of stochastic differential equations driven by these fields who would like to tackle the topic as a whole semimartingales is developed, including Fisk-Stratonovich and seek inspiration for its further development. V.M. equations, Markov properties, stability, and an introduction Tikhomirov is the volume's contributor. to the theory of flows. 1990/255 pp., 21 illus./Hardcover $59.50/ Further topics presented for the first time in book form ISBN 0-387-18179-2 include an elementary presentation of Azema's martingale. Encyclopaedia of Mathematical Sciences, Volume 14 This book will quickly become a standard reference on the subject, to be used by specialists and non-specialists alike, Reprint! both for the sake of the theory and for its applications. B. Bollobas, University of Cambridge, England 1990/302 pp./Hardcover $49.00/ISBN 0-387-50996-8 Applications of Mathematics, Volume 21 Graph Theory An Introductory Course G.J. Toomer, Brown University, Providence, RI (Ed.) This corrected reprint contains extensive descriptive Apollonius, Conics Books V to VII passages designed to convey the flavor of the subject of The Arabic Translation of the Lost Greek Original in the graph theory and to arouse interest. Emphasis is placed on Version ofthe Bana Masa the key theorems vital to the general development. These Translation and commentary by GJ. Toomer are given with full proofs and reinforced with a large collection of exercises. Much of the book is devoted to This is the first edition of the original text of the advanced topics previously accessible only in specialized works. part of the most important work on conic sections written in 1979/180 pp., 80 illus./Hardcover $39.50 (tent.)/ antiquity, and one of the most influential works in mathe ISBN 0-387-90399-2 matics. Based on all known manuscripts, it is also the first Graduate Texts in Mathematics, Volume 63 literal English translation of it ever to be published. The purpose of the work is to make available, to those interested D.A. Buell, Supercomputing Research Center, in the history of science and to mathematicians, a version of Bowie, MD the work as close to theoriginal as possible. Divided into two volumes, the first contains a 95 page Binary Quadratic Forms introduction and the Arabic text along with the English Classical Theory and Modern Computations translation; the second includes a commentary as well as Covers the basic theory of binary quadratic forms, empha 288 elegant illustrations and indexes. sizing computational and algorithmic aspects, and summa 1990/Volume 1: app. 642 pp./Volume 2: app. 366 pp., rizes ongoing computations with forms, including both ap 288 illus./Hardcover $119.00 (two volume set- not plications and the as-yet-unproved heuristics gained from available separately)/ISBN 0-387-97216-1 the extensive computations of the last few years. Sources in the History of Mathematics and Physical 1989/247 pp./Hardcover $35.00/ISBN 0-387-97037-1 Sciences. Volume 9 T
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