Calendar of AMS Meetings and Conferences

This calendar lists all meetings and conferences approved prior to the date this issue insofar as is possible. Instructions for submission of abstracts can be found in the went to press. The summer and annual meetings are joint meetings with the Mathe­ January 1993 issue of the Notices on page 46. Abstracts of papers to be presented at matical Association of America. the meeting must be received at the headquarters of the Society In Providence, Rhode Abstracts of papers presented at a meeting of the Society are published in the Island, on or before the deadline given below for the meeting. Note that the deadline for journal Abstracts of papers presented to the American Mathematical Society in the abstracts for consideration for presentation at special sessions is usually three weeks issue corresponding to that of the Notices which contains the program of the meeting, earlier than that specified below. Meetings

Abstract Program Meeting# Date Place Deadline Issue 890 t March 18-19, 1994 Lexington, Kentucky Expired March 891 t March 25-26, 1994 Manhattan, Kansas Expired March 892 t ApriiS-10, 1994 Brooklyn, New York Expired April 89S • June 16-18, 1994 Eugene, Oregon April4 May-June 894 • August 15-17, 1994 (96th Summer Meeting) Minneapolis, Minnesota May 17 July-August 895 • October 28-29, 1994 Stillwater, Oklahoma AugustS October 896 • November 11-1S, 1994 Richmond, Virginia AugustS October 897 • January 4-7, 1995 (101st Annual Meeting) San Francisco, California October 1 December March 4-5, 1995 Hartford, Connecticut March 17-18, 1995 Orlando, Florida March 24-25, 1995 Chicago, Illinois October 7-8, 1995 Boston, Massachusetts November S-4, 1995 Kent, Ohio November 17-18, 1995 Greensboro, North Carolina January 1Q-1S, 1996 (102nd Annual Meeting) Orlando, Florida March 22-2S, 1996 Iowa City, Iowa April19-21, 1996 Baton Rouge, Louisiana November 1-2, 1996 Columbia, Missouri January 8-11, 1997 (1 OSrd Annual Meeting) San Diego,California • Please refer to page 126 for listing of Special Sessions. t Please refer to the Table of Contents for further information.

Conferences

June 7-11, 1994: AMS Symposium in Research Mathematics on Quantization and Nonlinear Wave Equations, Massachusetts Institute of Technology, Cambridge, Massachusetts. June 11-July 6, 1994: Joint Summer Research Conferences in the Mathematical Sciences, Mt. Holyoke College, South Hadley, Massachusetts. June 20-July 1, 1994: AMS-SIAM Summer Seminar in Applied Mathematics on Dynamical Systems and Probabilistic Methods for Nonlinear Waves, Mathematical Sciences Research Institute, Berkeley, California.

Other Events Cosponsored by the Society

May 5-8, 1994: MER Network Workshop, University of Texas at Austin, Austin, Texas.

Deadlines

April Issue May-June Issue July-August Issue Classified Ads* February 22, 1994 April 25, 1994 June 20, 1994 News Items February 1S, 1994 April11, 1994 June 8, 1994 Meeting Announcements** February 17, 1994 April18, 1994 June 8, 1994 • Please contact AMS Advertising Department for an Advertising Rate Card for display advertising deadlines. •• For material to appear in the Mathematical Sciences Meetings and Conferences section. OTICES OF THE AMERICAN MATHEMATICAL SOCIETY

DEPARTMENTS ARTICLES 101 Forum 115 News and Announcements 99 1994 Bocher Memorial Prize 119 Funding Information for the The 1994 Becher Memorial Prize was awarded at the Society's 1OOth Mathematical Sciences Annual Meeting in Cincinnati, Ohio, to Leon Simon for his profound 121 1994 AMS Election contributions toward understanding the structure of singular sets for solutions of variational problems. 123 Meetings and Conferences of the AMS Lexington, KY FEATURE COLUMNS March 18-19, 123 Manhattan, KS March 25-26, 124 106 Computers and Mathematics Keith Devlin Brooklyn, NY In his third article for the column, George Gratzer continues to look at TE}<. Apri/8-10, 125 This time he concentrates on two integrated TEX implementations, Textures Invited Addresses, Special for the Macintosh and PCTEX for Windows for IBM compatibles, and on Sessions, and Contributed Papers, Scientific Word, a TEX preprocessor. Eric Schweitzer then reports on Xtal, a 126 visual programming language for IBM compatibles running Windows. Finally, Joint Summer Research Roger Pinkham returns to the column with a review of Data Desk. Conferences in the Mathematical Sciences, 128 1993 Summer Seminar in Applied Mathematics, 130 Symposium on Quantization and Nonlinear Wave Equations, 132 134 Summer Meeting of the Canadian Mathematical Society 136 Mathematical Sciences Meetings and Conferences 147 New Publications Offered by the AMS 152 Miscellaneous Personal Items, 152 Deaths, 152 Visiting Mathematicians, 152 153 New Members of the AMS 157 Classified Advertising 171 Forms

FEBRUARY 1994, VOLUME 41, NUMBER 2 97 From the Executive Director ...

POLICY COMMITTEES A year ago, the Council accepted a report recommending a new committee structure NQ.:tiCES in which a small core of policy committees would provide deliberation and long-range AMERICAN MATHEMATICAL SOCIETY advice in the major areas of Society activity: science policy, education, publication, meetings and conferences, and the profession. Two other committees function in much EDITORIAL COMMITTEE the same way as policy committees and are part of the structure of policy deliberation Sheldon Axler and long-range planning: the Mathematical Reviews (MR) Editorial Committee and the Amassa C. Fauntleroy Committee on Electronic Products and Services. Robert M. Fossum (Chairman) The Committee on Science Policy has been in place for some time and has proved Susan J. Friedlander (Forum Editor) to be one of the most active and effective committees of the Society. Its work load Carolyn S. Gordon Carl R. Riehm has so increased in recent years that it recommended forming new committees, one L. Ridgway Scott (Letters Editor) being the Committee on Education, which was formed three years ago. The Committee on Electronic Products and Services was formed two years ago to provide advice MANAGING EDITOR about the rapidly changing area of electronic delivery of information. The MR Editorial John S. Bradley Committee, which has been in place for quite a long time, provides scientific advice on ASSOCIATE EDITORS the content of the MR database. The new policy committees in the areas of publication, Jeffrey C. Lagarias, Special Articles meetings and conferences, and the profession were formed this past year. ASSOCIATE MANAGING EDITOR The five policy committees of the Society are all in place and have met. It is Allyn Jackson perhaps early to predict, but the structure seems to be working quite well. In order to SUBSCRIPTION INFORMATION coordinate the Society's activities across all these areas and to see that priorities are Subscription prices for Volume 41 (1994) are set and resources are effectively and efficiently used, the AMS Long Range Planning $146 list; $117 institutional member; $88 individ­ Committee (LRPC) met with the chairs of the policy committees at the Annual Meeting ual member. (The subscription price for members in Cincinnati in January. For this meeting, each policy committee selected a central is included in the annual dues.) A late charge of issue to present and discuss with the LRPC and the other representatives at the meeting. 10% of the subscription price will be imposed upon The Committee on Science Policy (CSP) will establish an effective and acceptable orders received from nonmembers after January 1 procedure for developing an AMS Federal Policy Agenda, that is, a collection of issues of the subscription year. Add for postage: Surface delivery outside the United States and lndia-$15; that the AMS believes are most important for the furtherance of mathematical research to lndia-$28; expedited delivery to destinations in and scholarship and which need to be advocated at the federal science policy level. The North America-$32; elsewhere-$67. Subscrip­ chair of CSP described the committee's work toward this goal. tions and orders for AMS publications should be The Committee on Education (COE) believes one of the most important issues addressed to the American Mathematical Society, facing the community is the acceptance of the many roles of a faculty member, roles P.O. Box 5904, Boston, MA 02206-5904. All orders that evolve over a lifetime and comprise many forms of scholarly activity in research, must be prepaid. education, and service. The COE is also concerned with preparation of graduate students, ADVERTISING with establishing professional master's degrees, and with increasing the involvement of Notices publishes situations wanted and classified mathematicians in the preparation and enhancement of teachers. advertising, and display advertising for publishers The Committee on Publication discussed electronic delivery of information and the and academic or scientific organizations. transition from "paper to paperless publication". Mathematical Reviews is very much @ Copyright 1994 by the American Mathematical affected by related matters, such as electronic delivery of MR over the Internet and Society. All rights reserved. making the information in the MR database widely accessible to mathematicians. The Printed in the United States of America. Committee on Electronic Products and Services is involved in all of these issues and is @ The paper used in this journal is acid-free and particularly concerned with making e-MATH more useful to mathematicians. A number falls within the guidelines established to ensure per­ of recommendations related to e-MATH were presented and priorities set. manence and durability. The Committee on Meetings and Conferences reported on its appointment of a task force to review the AMS series of conferences, symposia, and institutes. Among 0 Printed on recycled paper. other issues, the task force will consider just how well these activities are serving the Most of this publication was typeset using the T6l( community and will look at their educational aspects and their accessibility to students, typesetting system. women, and underrepresented groups in mathematics. In addition, the program structure '[Notices of the American Mathematical Society is and content at national meetings will be a priority for the Committee on Meetings and published monthly except bimonthly in May, June, Conferences in the coming year. July, and August by the American Mathematical So­ The Committee on the Profession identified two areas of immediate concern: ciety at 201 Charles Street, Providence, Rl 02904- 2213. Second class postage paid at Providence, employment of young mathematicians and the participation of underrepresented groups Rl and additional mailing offices. POSTMASTER: in mathematics. This committee presented the Council with a resolution on ethical Send address change notices to Notices of the behavior that decried the use of the poor job market for economic exploitation of young American Mathematical Society, Customer Service mathematicians. The resolution passed unanimously at the Council meeting. Department, American Mathematical Society, P. 0. The combined group discussed how the Society might be more efficient in getting Box 6248, Providence, Rl 02940-6248.] Publica­ ideas into action. It was generally felt that the policy committee structure was helping to tion here of the Society's street address, and the make the Society a more progressive and responsive organization. Plans have been made other information in brackets above, is a technical to set up forums one-MATH and at meetings where the issues before these committees requirement of the U. S. Postal Service. All corre­ can be discussed with the membership of the Society. The policy committees seem to spondence should be mailed to the Post Office Box, NOT the street address. Tel: 401-455-4000. e-mail: be off to a great start. [email protected]. William Jaco

98 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Leon Simon Receives 1994 Bocher Memorial Prize

The Bacher Memorial Prize is awarded every five years for appears in his paper "Rectifiability of the singular set of energy a notable research memoir in analysis which has appeared minimizing maps" (Preprint, Stanford University, 1993). This in the previous five years. The prize honors the memory of latter paper establishes rectifiability for the singular sets Maxime Bacher (1867-1918), who was the Society's second of energy minimizing maps into an arbitrary compact real Colloquium Lecturer (1896) and tenth president (1909-1910) analytic target manifold. and one of the founding editors of Transactions of the AMS. The recipient must be a member of the Society, or the memoir for which the award is given must be published in a recognized North American journal. The prize carries a cash award of $4000. The seventeenth award was made at the Society's 100th Annual Meeting in Cincinnati, Ohio, on January 13, 1994. The 1994 recipient is LEON SIMON of Stanford University. The prize was awarded by the AMS Council acting on the recommendation of the Committee to Select the 1994 Recipient of the Bacher Prize. The committee members are Luis A. Caffarelli, Richard B. Melrose, and Richard M. Schoen (chair). The text below includes the committee's citation, Simon's response on presentation of the award, and a brief biographical sketch.

Citation The 1994 Bacher Prize is awarded to Leon Simon for his profound contributions toward understanding the structure of singular sets for solutions of variational problems. Powerful methods were developed in the 1960s to establish the partial regularity of minima and critical points of the Plateau problem and later extended to other variational problems such as the harmonic mapping problem. These results left open basic questions about the structure of the set of singularities exhibited by the solutions of such variational problems. In a series of papers over the past ten years, Simon Leon Simon has developed methods for analyzing this structure. This development began with his 1983 paper on asymptotics near isolated singularities, entitled "Asymptotics for a class of Response nonlinear evolution equations, with applications to geometric I am very honored to be awarded the 1994 Bacher Prize. problems", Annals of Mathematics 118 (1983), pp. 525- In this response I would first like to offer thanks to 572. The first stage of his work on general singular sets is the Bacher Prize Committee for their kind recognition of principally described in "Cylindrical tangent cones and the my work, and also to the various people to whom I am singular set of minimal submanifolds", Journal ofDifferential most indebted, both personally and professionally: To my Geometry 38 (1993), pp. 585-652, and the remaining work family, and especially to my wife Sandra; to Jim Michael

FEBRUARY 1994, VOLUME 41, NUMBER 2 99 ·---·········-·····---····-·····--····- ············-···--··---·-·····-···-·----·---······-·-·········--·------·-··----·--····------·---·---··-···---·---······------·----~~::)i;;:_;:::}~~~=~~~~:ic;;~ :.~2is.:~z;;;:~~:z,:~;;~::r.:=:;~-~~~I:~.:~~:::,:~~=~:::s~;:::~~~:~:c~;:s~~:~:~D·--··-···· ...... · 1994 Bocher Prize for his guidance and mathematical insight during the period PDE methods involve in part ideas originating in quasilinear of my undergraduate and graduate work at the University of elliptic theory, developed by C. B. Morrey, E. De Giorgi, Adelaide; and to David Gilbarg for his constant support and for 0. Ladyzhenskaya, N. Ural'tseva, J. Moser, and others, the numerous mathematical conversations we enjoyed during principally during the period from the late 1930s to the my time as an assistant professor at Stanford University and mid-1970s. later. There are also many colleagues, both present and past, There are still many fascinating and fundamental questions to thank. Of these I want to mention especially Shing-Tung remaining in the analytic side of the geometric calculus of Yau, Richard Schoen, and Robert Hardt. variations, and these questions have an added dimension As the citation mentions, much of my recent work of interest by virtue of their close connection to important addresses questions about the structure of the singular sets problems in geometry. For example, in recent times there of the solutions of various geometric variational problems. has been much interest in geometric evolution problems, These questions arose naturally from the work of the pioneers beginning with the work of Hamilton, Brakke, and Huisken on in the field of geometric measure theory/geometric calculus of Ricci and mean-curvature flow; and here there are important variations, including De Giorgi, Reifenberg, Federer, Fleming, unsolved problems related to singularities, including how Almgren, and Allard, who are principally responsible for the singularities form and the structure of the actual set of initial development of the partial regularity and existence singularities in space-time. theory for minimal surfaces. An analogous partial regularity Certainly it seems clear that both measure-theoretic and theory for energy minimizing maps between Riemannian hard analysis methods have an important role to play in the manifolds was later established by Schoen and Uhlenbeck. field for the foreseeable future. The latter work, for example, established that if the domain of a bounded energy minimizing map has dimension n, then Biographical Sketch the dimension of the singular set (i.e., the set of points where Leon Simon received his Ph.D. from the University of the map fails to be locally smooth) is n- 3; the dimension Adelaide, South Australia, in 1971. He held positions as referred to here is Hausdorff dimension, so the result is that assistant professor at Stanford University (1973-1975), asso­ the singular set has Hausdorff measure zero in any dimension ciate professor at the University of Minnesota (1976-1977), larger than n - 3. Part of my work cited above shows and professor of mathematics at the University of Melbourne that if the target manifold is real-analytic, then the singular (1978-1980) and The Australian National University (1981- set locally decomposes into finitely many locally (n - 3)­ 1986). Since 1986 he has been professor of mathematics at rectifiable, locally compact pieces. (Here "locally" means in Stanford University. a neighborhood of each point of the relevant set.) There are Professor Simon was a Sloan Fellow (1974-1975), was analogous results for various classes of minimal surfaces, elected Fellow of the Australian Academy of Sciences (1983), always in the appropriate dimension. For example, for n­ and received an Australian Mathematical Society Medal dimensional mod 2 area minimizing surfaces, the singular (1983). set is shown to locally decompose into finitely many locally He has held visiting positions in various institutions, in­ (n- 2)-rectifiable, locally compact pieces. In some special cluding the Mittag-Leffler Institute (Sweden), Courant Insti­ cases it is possible to prove more, including even that the tute of Mathematical Sciences (New York), University of Ade­ singular set is a union of smooth manifolds together with a laide (South Australia), Institute for Advanced Study (Prince­ compact set of lower dimension. ton), and Eidgenossische Technische Hochschule (ZUrich). The methods used in the proof of these results are a His major research interests are geometric measure theory mixture of geometric measure theory and PDE methods. The and partial differential equations.

100 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Forum

exactly turned it down. My impressions were that the majority of the community was behind this idea. In any case, the end The Forum section publishes short articles on issues that result of this situation was that the program officers were left are of interest to the mathematical community. Articles with little advice as to how to fund mathematical research. should be between I 000 and 2500 words long. Readers are (The reader might consult the article which appeared in the invited to submit articles for possible inclusion in Forum July/August 1993 issue ofthe Notices of the AMS for remarks to: by Fred Wan on this issue.) In fact, after my experience in this Notices Forum Editor position, I personally have to admit that I am not sure how American Mathematical Society best to fund mathematical research. I know what tradition P.O. Box 6248 tells me, that I should provide 2/9 summer salary, graduate Providence, RI 02940 student support, and $2000-$3000 for other activities, plus or electronically to notices@math. ams. org some computing expenses, if they are warranted. The problem that keeps coming up is this question of summer salary. Should summer salary be provided, and how much should be provided? Some Thoughts This last year I processed around 130 proposals and on the Funding of Mathematics recommended around forty proposals for funding. When I William Yslas Velez think back to the proposals that went unfunded, I remember The University of Arizona many proposals that represented the efforts of hard-working I have just finished a one-year stint as program officer for and talented individuals. However, the cutoff level for funding the Algebra and Number Theory program in the Division of is so high these days that these talented individuals were not Mathematical Sciences at the National Science Foundation. It funded. But these unfunded mathematicians have not stopped was certainly an interesting year, one which I would definitely working, and they are carrying out very active and important repeat. I cannot say that it was enjoyable (the workload was research programs. How should the NSF fund mathematics? tremendous), but I can say that it was challenging. Based Several issues need to be addressed. Should the NSF fund on this experience I would like to bring to the mathematics a small elite group of mathematicians, or should the NSF community three issues: attempt to find a greater variety of mathematical scientists? 1. Why and how should this country fund mathematical How should these mathematicians be funded? How does research? society benefit from funding mathematical research? 2. In determining which graduate students receive funding Suppose that a researcher does not get funded. What is as part of an NSF grant, should U.S. citizens and such a person to do? One choice is simply not to do research permanent residents be given preference? during the summer and to go work in the garden. If the 3. What are the responsibilities of an academic department researcher is a junior faculty member, this is not a strategy to the citizens of this country? that will bring tenure. One common choice is to teach summer school where possible. So, the unfunded person will teach The Funding of Mathematical Research 5-8 weeks during the summer and do research the rest of the I arrived at the NSF in August 1992, just as the division was in time. The unfunded and funded researchers both work hard the midst of deliberations on the issue of "flat-rate" funding. all year, except that one of them has to teach for 5-8 weeks. You will recall that the flat-rate scheme was to consist of In practice, what an NSF grant buys is 5-8 weeks of summer essentially two funding levels, one at around twenty thousand work at a cost of $20,000-$40,000! and the other at around thirty thousand. This scheme was If teaching is not an option for the researcher, but rejected by "the mathematical community". The reason for summer salary is still a necessity, then another possibility the quotation marks is that I am not 100 percent sure who is to hustle some consulting work in either business or the

FEBRUARY 1994, VOLUME 41, NUMBER 2 101 ------·--·---·-----...... --...... ----11--·-·-··-·""""""""""""·-··-·····-··-"··-· ...... Forum defense industry. In this option, the researcher probably does the graduate students in the sciences. Recently, we have seen not produce publishable mathematical work, and research in this figure rise, and it appears that now the majority of doctoral mathematics is slowed down. Do society and the profession mathematics degrees are being awarded to foreign students. suffer from this scenario? No, quite the contrary! If more One of the factors that has caused this increase in the foreign­ working mathematicians addressed the issues that arose in student population is the lack of interest among U.S. citizens business or the defense industry, then these industries would to study higher-level mathematics. Even though fewer of these see how powerful mathematicians are and that would open students chose to study graduate-level mathematics, this did new job opportunities for our students. not mean that graduate production decreased dramatically. Now that we understand what funding buys, we tum to the Departments had slots to fill, and it was unthinkable that these question of who gets funded. It appears that in determining slots would go unfilled, so foreign students began arriving. who it is that receives a research grant, creativity seems Perhaps it would have been better to have slowed down to be the primary difference between those who are funded Ph.D. production. The profession would be healthier for it, and those who are not. It appears that the most creative and the mathematical community should consider this option researchers are the ones that need the most funding. Why seriously, even now. is that? Granted, it is these individuals who make the most The issue that concerned me in dealing with foreign spectacular breakthroughs, but why do they need this funding students was the funding of their studies in this country. in order to carry out the research program? This is an important Were the percentage of foreign graduate students in the teens, issue. The budgets that are attached to the proposals are almost there would be no need to be concerned about this. However, completely divorced from the proposal itself, and, except for now that this figure is around 50 percent, it needs to be tradition, there is no rationale for requesting the summer addressed. In particular I was confronted by this problem as I salary. However, here are some of the reasons that I have looked at grant proposals that arrived to my program. I had heard while at the foundation. to determine whether or not to support the graduate students POVERTY: "My university does not pay me enough, that the investigator requested. My thought on this issue was and, if I do not have these funds, I would have to teach or as follows. The program that I managed supported the best find some other way of making money." My thoughts: This mathematicians around. A student who has the opportunity to vaguely reminds me of a welfare system for university faculty. work under one of these individuals already has an advantage CHILDREN: "My children are now attending private in the academic world. This advantage is further amplified schools, and I sure need the money." My thoughts: So the when that student is given a research fellowship or is supported children of the most creative researchers need to have their by someone's grant. The opportunity for uninterrupted study education subsidized by the taxpayers. is critical to a student and allows the student to write an even PRIDE: "I don't mind getting partial summer funding better thesis. if everyone else is. But if anyone is getting full funding, I A student that is supported under an NSF grant is being certainly should get it because I am the best mathematician given preferential treatment. As such, it appears to me that working in this area." My thoughts: How many times did I the children of those taxpayers who are supporting this hear that one! research should be given preferential treatment. Further, when TENURE: ''This award will help me to get tenure." My considering which students get funding under NSF grants, thoughts: NSF program officers should not play such an priority should be given to students who are U.S. citizens or important role here. permanent residents. FELLOWSIUP: "Based on my reputation and my past STOP! We've all heard it before. Many of the readers work, I deserve an award. I can't be bothered with provid­ are already thinking that the result of such a priority will be ing you with documentation to support these claims." My a decrease in the quality of the graduate students. I would thoughts: Are NSF awards either fellowships or research like to make two points regarding this concern. First of all, grants? I have seen several 2-4-page proposals that stated if academia expects to see a decrease in the quality of the essentially this. The proposer felt that he was leading the pack graduate students, they can certainly ensure that outcome. and the NSF should simply hand over the money. I am sure that everyone told Jaime Escalante at Garfield I may have been a bit frivolous, but the issue of who High School that he couldn't possibly hope to teach calculus to fund and the correct way to fund mathematical research to a bunch of poor Hispanics from East Los Angeles. But is a very serious one, and it is one that the mathematical someone, or some community, with a vision can bring about community should confront before someone else sets the the unexpected. The second point that I want to make concerns agenda for us. the international marketplace. Suppose that we opened up every position in this country to anyone in the world. Would we expect that an American would get the position, based The Funding of Graduate Students on NSF Research only on qualifications? I think not; yet that is exactly how we Grants treat the graduate students. Maybe we ought to apply the same An issue that I chose to address while I was at the NSF was the criteria to research grants. Instead of just funding investigators question of foreign graduate students. Fifteen or twenty years in this country, maybe the NSF should support simply the best ago, foreign graduate students made up a small percentage of science. Then how many of the investigators in this country

102 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Forum would be funded? But we don't do that because the "N" in from California and chairman of the Committee on Science, NSF means national, and the funds for research are supposed Space, and Technology. to have a positive impact on science and science education in We, as a community of scholars, benefit from the support this country. of the country, and the children of this country should be Earlier I alluded to the question as to what it is that society given a chance to participate in these adventures. gets out of funding mathematics. The standard answer is that support of pure research pays off in the long run, and society and the Congress sort of believe this and provide funds for The Coming Disaster this research. What is hardly ever mentioned is the short-term in Science Education in America benefit of this funding, and that is that our children will have John Saxon the opportunity to learn from brilliant researchers and, with (Editor's Note: John Saxon is the president of Saxon Publish­ this education, these same children will be able to participate ers in Norman, Oklahoma. He is the author of a mathematics in these exciting careers. I think that parents live with this series that has been used in over 4,000 American schools.) hope and support education because of this. However, our I believe that the present disaster in science education in graduate programs are no longer aimed at our children. This is America will be drastically exacerbated in the next decade a dangerous state of affairs, and if the public and the Congress because of recent actions of the National Council of Teachers became truly aware of this situation, we might find it hard of Mathematics (NCTM). These actions are capricious at best to convince them to continue their support of our research and approach total irresponsibility at worst. This organization endeavors. has decided, with no advanced testing whatsoever, to replace It is a common complaint that American students do not preparation for calculus, physics, chemistry, and engineer­ want to study mathematics, and it is difficult to attract them ing with a watered-down mathematics curriculum that will to the study of mathematics. There is no question that efforts emphasize the teaching of probability and statistics and will aimed at attracting this recalcitrant population would take encourage the replacement of the development of paper-and­ away from research time. Given a choice between research pencil skills with drills on calculators and computers. This and encouraging students to continue in their mathematical drastic shift in emphasis will leave American students bereft studies, which choice should the mathematics community of the detailed knowledge of the parts that permit the whole make? The choice that is made is influenced by a pervasive to be comprehended. attitude among mathematicians that there are very few students America is on the road to becoming a follower in technol­ with the potential to be great research mathematicians. To ogy and science rather than a leader. Our captains of industry some extent this is true. There are very few Hilberts around. tell us that they are at a disadvantage in worldwide competition There are very few individuals who are capable of writing because our labor pool is mathematically incompetent. This that wondrous music that makes the rest of the mathematical incompetence has been documented by recent tests which community sing. Many of us have been captivated by the show that 82 percent of our 17-year-olds do not know what song, and we have spent most of our lives trying to understand the word area means and also by international test results it, rewriting the score, improvising on the main themes, all the wherein American students scored near the bottom of the while enjoying ourselves. What is oftentimes forgotten is that students in the nations tested. The engineering and physics the individuals who write the best scores are many times either departments of American universities have an overabundance not capable or not interested in signing the songs. Is it any of foreign-born students and teachers because most American wonder that our youth have not been captivated by the song? university students do not know the mathematics necessary to In order to interest our youth in the study of mathematics, be successful in engineering and physics. we need more diversity in the presentation. It doesn't take a To correct this situation, we need a no-frills national Hilbert to make mathematics interesting. mathematics program that concentrates on precalculus fun­ I am not gloomy about the prospects of encouraging our damentals. We have to get our best students (30 percent) youth to study more mathematics. It does take energy, and it through advanced placement calculus in high school and get does take up some of the resources of a department. However, the next ability group (40 percent) prepared for calculus as it should be part of the social contract that we have with the college freshmen. The rest of the students should master the community. It is in the best interest of this country, and of the fundamentals of mathematics that are required to be pro­ mathematics community, to produce a mathematically literate ductive members of our labor pool, enabling us to compete work force. Some of these students grow up to become policy with Europe and the Asian nations. It can be done. Jaime makers. The NSF has a responsibility to encourage American Escalante, whose exploits were documented in the film Stand students to pursue careers in mathematics.lt is in keeping with and Deliver, had 150 students in advanced placement calculus this responsibility that priority should be given to funding at Garfield High School in 1988-1989. This school is in the American graduate students on research grants. I encourage heavily Hispanic East Los Angeles area. If all of our schools you to write and express your views to those who are making had the same percentage of students in calculus, there would the decisions on these issues. I suggest that you write to the be no "Crisis in American scientific education. officials at the National Science Foundation, to your congress Rather than implement a program to prepare students for person, and in particular to Mr. George Brown, Representative engineering and the hard sciences, as well as for advanced

FEBRUARY 1994, VOLUME 41, NUMBER 2 103 ...... ______...... Forum mathematics, the mathematics education "experts" of the a meta-analysis of all the tests on the use of calculators in NCTM have come up with a document called "Standards elementary schools was completed. One of the tests in this for School Mathematics". This document makes absolutely analysis showed that calculators were significantly damaging no mention of preparing students for chemistry. It makes no to the calculating ability of average fourth-graders. This one mention of preparing students for physics or engineering. The significant negative finding would cause a prudent man to document even denigrates the idea of preparing students for proceed with caution. But the NCTM ignored this finding calculus. The document discusses the mathematics needed for and recommended that calculators be made available in every "business, economics, linguistics, biology, medicine, and so­ elementary grade and that "students be allowed to decide ciology" and says, "However, the fundamental mathematical when it was better to estimate, to use paper and pencil, or ideas needed in these areas are not necessarily those studied to use a calculator." They even used the meta-analysis to in the traditional algebra-geometry-precalculus-calculus se­ justify this recommendation and said that the findings for the quence, a sequence designed with engineering and physical use of calculators outweighed the findings against the use of science applications in mind." calculators. So they again heavily recommended calculators Our country is at risk, and the NCTM is now insisting on a for use in elementary schools. Can you imagine what would radical, totally untested shift in the mathematics curriculum happen to the Federal Drug Administration if it approved a that veers away from preparing students for calculus and drug that was damaging only to average ten-year-olds? the hard sciences. The Standards details how this watering­ I dwell on the calculator issue, not because it is so down process is to be carried out. Students will devote less important, but to emphasize the mentality of the committees attention to memorizing subtraction facts and will have less of experts who have been and are directing mathematics paper-and-pencil practice with fractions and less paper-and­ education in America. Jack Nicklaus is an expert golfer pencil practice with long division. Books will deemphasize because he has won more major golf tournaments than any the teaching of radical expressions, conic sections, paper­ other man. Boris Becker and Steffi Graf are members of and-pencil solutions of trigonometric equations, and the the pantheon of kings and queens of tennis because of solutions of the old-fashioned fundamental word problems their successes. Only in American mathematics education do that have been used historically to teach the concepts and people with a track record of abject failure arrogate the title skills necessary to solve all problems. of "expert". We have implemented their recommendations for The scenario is almost an exact duplicate of the scenario of years and years without requiring proof of efficacy first. I say the "new math" disaster which was caused by the enthusiastic that the time has come to question the experts, especially since and hasty implementation of another totally untested set of they have asked the country to join them in another untested recommendations made by another committee of "experts". and questionable shift in pedagogy that I believe will cause The first scenario was in the 1960s, and the committee great harm to America and should be called the "new new was called the School Mathematics Study Group and was math". chaired by Professor Begle of Yale University. This group The major thrust of this program will be an attempt was studying ways of improving secondary mathematics to teach students the art of solving "real world problems" education in America when the Russians first launched without first teaching the concepts and skills. The idea is Sputnik. A national panic ensued because obviously "America to let skill development and concept understanding evolve was falling behind the Russians in math and science". The from the use of the concepts and skills in the solutions of recommendations of this committee were used as the basis real world problems. The initial concept understanding is of a paperback series called SMSG, or the "new math". supposed to result from the explanation of the teacher (which The radical, untested shift in emphasis contained therein was seldom occurs), and then the emphasis is to be on applications forced ·into every American classroom because anyone who of the concept. Of course, the "experts" believe that there objected to this nonsense was branded as being unpatriotic. is no need to prove that this approach is feasible before In the late 1970s it became apparent to some of the it is forced on the students of America. They have talked insiders that all was not well in math education. Calculators almost every responsible organization in American education and computers for classroom use had been recommended into endorsing the Standards. They list the endorsement since 1972. Neither of these instruments had been shown to of forty organizations, including the National Association be effective at that time, but a drowning man will grasp at of Secondary School Principals, the National Society of any straw. The NCTM felt that leadership was necessary, so Professional Engineers, . and the American Association of they threw together a document called "The Agenda for the Physics Teachers. Even the astronaut Sally Ride has endorsed Eighties", in which it was recommended again that calculators the Standards. Who could be against standards for American and computers be used in classrooms and that the emphasis mathematics education? I assume that these people endorsed in math classes be shifted to problem solving of "real world" the program without fully realizing what they were endorsing. problems. Certainly everyone is in favor of doing something about the The efficacy of the use of calculators in elementary schools sad state of math and science education in America, and, as still had not been proved, and many people questioned do our "experts", they grasp at any straw. the wisdom of introducing calculators before students had I began visiting Jaime Escalante soon after his success become proficient with paper-and-pencil exercises. In 1984 in teaching calculus in Garfield High School in East Los

104 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Forum

Angeles was reported by Reader's Digest. Mr. Escalante sees We need to get as many students as we can through high school calculus as a lever that Hispanic children can use calculus in high school. We need students who are competent to enable them to get college scholarships in engineering and in the use of fractions, decimals, mixed numbers, percent, and thus to become full participants in our technological society. ratios. We need students who know trigonometry and analytic Mr. Escalante is certainly in favor of standards for his students. geometry. We need a work force that allows Americans to How does it happen that he was quoted in the press as saying compete successfully in a technological world. We do not that "whoever wrote [the Standards] must be a physical need guidelines that recommend leaving students ill-prepared education teacher"? It is because the NCTM Standards for chemistry and physics and that ridicule preparation for comprises another flight of fancy by putative experts. These calculus. "experts" recoil in anger when asked why they should not This violent shift in emphasis recommended by the NCTM prove the expected results of their recommendations before stems from the failure of the experts to find a way to teach the they are implemented. Jaime Escalante has proved his methods concepts and skills first. The first draft of the Standards stated before the entire world. Why should the NCTM not do the that because we have been unable to teach the concepts and same? I was happy to see Mr. Escalante's comment. I had skills first and then teach the applications, we must have been read the Standards carefully and was convinced that they had trying to do it the wrong way. Thus we should try to do it been compiled behind the looking glass with Alice at the Mad the other way. We should try to teach the concepts and skills Hatter's tea party. The document is replete with nonsense such through the study of real word problems. The fallacy of this as the following: reasoning is self-evident. I was aghast at this wild surmise and was chagrined that Our premise is that what a student learns depends to one of the authors of the Standards deleted this statement a great degree on how he or she has learned it. For before the final version was printed. This statement was a example, one could expect to see students recording dead giveaway to the pie-in-the-sky fuzzy thinking that lay measurements of real objects, collecting information and behind the whole document. America has depended on our describing their properties using statistics, and exploring "experts" in mathematics education for thirty years and they the properties of a function by examining its graph. have let us down. Now they propose that we accept a set This vision sees students studying much of the same of nebulous recommendations that are totally unproven. The mathematics currently taught but with quite a different book companies will work feverishly to publish books that try emphasis; it also sees some mathematics being taught to meet the guidelines, and the result will be an acceleration of that in the past has received little emphasis in schools. the disaster in mathematics and science education. It will take This premise and vision gibberish is followed by state­ at least ten years for the full extent of this coming disaster to ments that students should learn to value mathematics, be­ become apparent. College math enrollment will decline, and come mathematically confident, become mathematical prob­ the number of American students in physics and engineering lem solvers, learn to communicate mathematically, and learn will decline even further. And no one will be to blame. They to reason mathematically. If one reads the entire Standards will all say, "It wasn't my fault." I guess that is the advantage document carefully, it is really difficult to decide whether it of being just a member of a "committee of experts.'' was written behind the looking glass by the Red Queen or if it was written by a physical education instructor, as Jaime Escalante contends.

FEBRUARY 1994, VOLUME 41, NUMBER 2 105 Computers and Mathematics

Edited by Keith Devlin

This month's column 1BX as a DOS program under Windows." This surprised me. In his third article for the column, George Gratzer continues to look at I have always done 1BX in an integrated environment; why 'JEX. This time he concentrates on two integrated lEX implementations, doesn't everybody do the same? I also had difficulty following Textures f~r the Macintosh andPCTF}(for Windows for ffiM compatibles, the advice. Most 1]3Xs were either "small" (restricted capacity) and on Sczentific Word, a lEX preprocessor. Eric Schweitzer then reports onXtal, a visual programming language or used memory extension programs that were incompatible for ffiM compatibles running Windows. . with Windows. Finally, Roger Pinkham returns to the column with a review of What a change a few years brought! Under Windows, Datadesk. progr~s c~ concentrate on doing their jobs well; printing and dtsplaymg are left to Windows. Gone are the days when Editor's address: with every program we had to learn anew how to open a file Professor Keith Devlin and save it-under Windows such tasks are standardized. School of Science Saint Mary's College of California . In this article I will review two integrated 'lEX implementa­ P.O. Box 3517 tions. Textures, the classical implementation on the Macintosh Moraga, California 94575 (in its modem variant, Lightning Textures), and the brand new PCTF}( for Windows for IBM compatible computers. I shall Correspondence by electronic mail is preferred, to: also review Scientific Word, a 'lEX preprocessor. [email protected]. 2. Lightning Textures I am hardly an impartial user of Lightning Textures. I started with the product when it was simply Textures, and a lot has Advances in 1EX Implementations. changed since. II. Integrated Environments It is also difficult for me to write impartial comparisons with competing products for IBM compatible computers George Gratzer* because I have much better hardware with my Macintosh. ~lthough the CPUs are comparable (68040 and 80486), the dts~lays are not. On the Macintosh I have a two-page monitor; while on my IBM compatible computer I have a 17-inch color 1. Introduction monitor. Of course, the large real estate is ideal for integrated I started with Textures on a Macintosh. When I started writing TBX environments. However, there is little debate in the mathematical com­ [3], I felt that it was important for me to become exposed to munity that Lightning Textures is a first-class product. It is the way 1BX is done on IBM compatible computers. Textures powerful, and it is still easy and convenient to use. is, ~f course, an integrated 1]3X implementation. Not wanting The program starts up with the six menus (File, Edit, to gtve up the comfort I had gotten used to, I asked, "Are there Macros, Typeset, View, and Windows). If you start the Windows implementations of 1]3X?" program by clicking on a previously typeset file, then . Many responded in a somewhat puzzled manner: "'lEX 'lEX the program starts with the text file open where the editing 1s a batch processor. Why would you want a Windows was left off, and the typeset window open to the first page of implementation? You tell 'lEX to typeset your file, and 1]3X will do that. You don't need a GUI (Graphical User Interface) the typeset document (off center; the program forgets which typeset page you were on and how it was placed-a real for that. But if you insist on doing 1]3X under Windows, run nuisance). The source document has its own window, and so *George Gratzer is a professor of mathematics at the University of 1BX Manitoba, Winnipeg, Manitoba R3T 2N2, Canada. His e-mail address is does the typeset version. You can also have the TeX log [email protected]. window open to see the messages 1]3X sends. In case of an

106 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Computers and Mathematics error the TeX log dialog box comes up, and if you click Manager, choose Run in the File menu to start setup on the Quit, the cursor is placed on the offending line--correcting floppy disk and follow the easy instructions on the screen. an error could hardly be made any easier. If you are located This will install everything you need. somewhere in the typeset version, new typesetting does not To start the program double click on the PCT/J( icon that change your location; it only reprints the typeset page with the installation creates on the desktop. The program opens the new version. in a window adorned with four menus: the standard File, When you \dump a new format, you name it, and the Typeset, and Help, and the interesting Settings. Underneath name gets added to the Typeset menu. The format chosen for there is a toolbar with 16 icons, so that most of the commands a document is remembered, so typesetting is automatically that are available on the menus are just one click away. done with the correct format. Two menu items deserve special mention. Settings lets The evolution of Textures to Lightning Textures featured you customize the program in many useful ways. The option two major improvements. The more important of the two Directories. . . lets you specify additional directories for was rewriting and optimizing 1}3X in assembly language. The pk font files, tfm font files, and 1}3X input files. The option result was dramatic. The company claims a threefold increase DVI Fonts. . . gives some important choices for fonts. The in speed; my own experience is even better. option View Defaults ... is for zoom level, page size, and The second improvement is more spectacular but maybe orientation. not quite so important: it added Flash mode to the Typeset The next easy step is the creation of the format files. To menu. If this item is checked, the manuscript is automatically create plain. fmt, choose INITeX ... from the Typeset menu typeset any time there is any change in it. This is particularly (should we call it Create Format?); a dialog box comes up. useful if you want to get a complicated formula just right. You Click on the Plain TeX radio button, then on the OK button, make a change, and you immediately view the result. and you are done in a minute. Flash mode does not work quite as well with 1'.1}3X. Since To test your installation, open the test. tex file and click there is no option for asking Lightning Textures to always on the 1}3X icon on the toolbar. A black window called typeset twice, cross references will be incorrect following a Typeset comes up and some messages appear: PCJFj( for mistake (and this affects a lot, including the line length). Windows calls PCIE;X a DOS program. The black window The integrated editor is an indispensible part of Lightning is the "DOS box", and PCTeX typesets test. tex. After Textures; unfortunately, it is also its weakest point. Many users the typesetting, close the black window and click on the create in this editor a "skeleton" file with \input that points view icon (picturing a pair of glasses, cute). Now the view to another file edited by, say, Nisus or some other capable window comes up. This has to be adjusted to make the typeset application. Even the most basic editing features such as document visible. The adjustment consists of several steps: 1. Paste, Undo, and Wrap are implemented in a way that would adjust the size and the placement of the window; 2. center the strike Mac (and Windows) users as unusual. For instance, text; 3. adjust the magnification; 4. go to page; 5. move the writing a paragraph, pasting in a few words, changing your text up or down. mind, and executing Undo may make the whole paragraph At this point some of the rough edges of this new disappear. Version 1.6 of Lightning Textures introduced some program show up. For instance, on my lliM Think Pad I use welcome improvements in the editor, including the customiz­ magnification level 5, which is just right, as one line is the able Macros menu and easy-to-use marking of places in the width of my screen, except that a click on a left- or right-arrow document for faster navigation. One can only hope for more is so crude that I cannot center the line on the screen; either improvements. the beginning or the end falls off. Now pretend that you view In Version 1.6 there are many improvements in EdMetrics, the typeset version, make some change in the document, and the font metrics editor for Textures, as well as support for click on the TEX icon to typeset again. The view window is virtual fonts. You better be an expert user if you want to make closed, and coming back, you are where you started in the first use of these tools. The forthcoming new user's guide will be place. The five steps must be repeated to view the corrected welcome. typeset version. Of the five steps, step 4 is too complicated. Often, you want 3. PCT'Ffl for Windows to go to a page by number. Here, this is a five-step procedure: It is not easy for a DOS programmer to switch to Windows select the View menu and choose Page, then choose Select, programming. When I started receiving early in-progress then type the page number, then click OK. It is preferable to versions of PCTFJ(for Windows, I was doubtful that Personal use the keyboard shortcut: when the view window is open, 1}3X's DOS programmers would make the switch successfully. type Ctrl-P, the page number, and press Enter. I was proven wrong. PCT/J( for Windows is an excellent Format files are very important for 'J.EX. They preprocess integrated 1.EX implementation; and the manual matches the a lot of information for your article, so typesetting becomes program. much faster. As we mentioned before, the creation of the The ease of use starts with the installation. Installation plain. fmt format file could not be simpler. The same is true instructions for PCT/J( were voluminous and complicated. For of the basic 1'.1}3X and AMS-1BX format files. Unfortunately, PCTFJ( for Windows you do not really need any instructions; there is not much flexibility for anything else. you do what you always do under Windows: in the Program This, of course, affects the user. As a 1'.1}3X user, I would

FEBRUARY 1994, VOLUME 41, NUMBER 2 107 Computers and Mathematics like to have a "pure" :&lEX format, another :&lEX format with 4. Scientific Word \documentstylearticle (possibly with options) built in; in There are two aspects of article design: the visual and the fact, even a third, with my standard macros built in, in addition logical. In a :&lEX article, the visual decisions are made by to the document style. professional designers, so you can concentrate on the logical There are some restrictions built into the system. The first design. is that there are only five format names. They are plain, :&T:sX uses four major tools to separate the logical and LaTeX, AMSTeX, Format!, and Format2. With a little work visual designs of an article: you can make an AMSLaTeX format file, but it will have to Commands. Information can be given to N}3X as arguments be called by one of these five names. Hopefully, in a future of commands, then it is up to :&lEX to handle the version, these restrictions will be removed. information. For instance, the title page information is I found it very easy to make a format file for my personal given in this form; the organization of the title page is preference, AMS-h'IEX. I proceeded, then, to exercise this described in the document style. format with the article test file provided by the AMS and Environments. Important logical structures are placed in ran into another roadblock. The editor can handle only files environments. For instance, you can give a list as an that are less than 64K in size, and the test article is larger. environment by saying that this is a list and these are So exercise AMS-h'IEX with booktest. tex instead, also the items. Again, how this is typeset is up to N}3X; you provided by the AMS. can even switch from one type of list to another by just The restriction on the editor is surprising in the Windows changing the name of the environment. environment, but it is no obstacle to writing long articles and Declarations. These are (numbered) environments. The num­ books. lEX's \input and :&TJ3X's \include will help you get bering scheme in the Declaration section can be changed around this restriction. at any time. Finally, we come to the fonts. PCTJj}( used rasterized Cross-referencing. Since a theorem or a section is written as fonts. PCTJj}(for Windows standardized outline fonts, namely, a logical design, it, or a whole section or part of a section, TrueType outline fonts. can be freely moved around. This offers tremendous Outline fonts were the topic of Part I (see [2]), but only freedom in reorganizing the source file to improve the the PostScript CM and AMS fonts were discussed in detail. logical design. There I wrote: The design philosophy of Scientific Word from TCI Software Research is very clear: With Windows 3.1 on the PC System 7 on the Mac came • To separate the logical and visual design of the article. a competing outline font technology called TrueType. • To help the user to enter and designate the logical parts Presently, the number of TrueType fonts is rather small separately. compared to the number of PostScript fonts, and there is • To make the entry of text and mathematics visual. no math font. This competition with Adobe resulted in • To make available the advanced AMS-'IEX constructs. the free distribution of ATM [Adobe Type Manager], a Version 1.1 of Scientific Word goes a long way in saving of about $150 to the user. We shall not be dealing accomplishing these ambitious goals. The last goal, the with TrueType fonts in this article, although much that is merging of :&lEX and was accomplished by the said would apply to them. AMS-'lBX, AMS with A_MS-NBX (this is discussed in [1]) which came So much for my foresight. too late for TCI, so they wrote their own macros to make this The decision by Personal lEX to go with TrueType CM happen. TCI is working to incorporate AMS-h'IEX in a future fonts was, very likely, a commercial decision. It does not version. cost much to "translate" the original Metafont to TrueType. When Scientific Word is started up, there are six menus Unfortunately, the result is not of very high quality. This and a double toolbar. should not affect the average user. For a preprint, the quality The File menu contains the usual items and a few is just fine. For a production run, you would probably switch items specific to Scientific Word. Doc Info allows the user to PostScript CM fonts. to enter information about the document, such as comments, The AMS fonts are not provided in TrueType form. description, typist, created, last revised. There are three more However, you can continue using them in rasterized form by items of a technical nature: LaTeX, which contains as a default choosing DVI Fonts ... in the Settings menu and clicking on the \input tcilatex, Search TrueType fonts, then PK fonts the default macro file; Document/Subdocument to take care radio button. (I am informed that the TrueType AMSFonts of building a document from subfiles (it does the \includes); should be available by the time you read this article.) Front Matter ... gives a box in which to enter Author, Title, There is also an icon for a TFM Generator. This program Date, and Abstract. This is clearly in line with the design generates lEX font metric files from TrueType fonts to make philosophy: the first three are arguments of commands, the them available for TJ3X. last is an environment.

108 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Computers and Mathematics

Style ... gives a very long list of styles to choose from. in Excel), which is not easy. The implementation of the This is real h1]3X: change the style any time, and the typeset bibliography is made difficult by the fact that, in my opinion, version will change with it. the AJVtS-h'IEX solution is not the best. The most flexible The Edit menu contains the usual items and, in addi­ implementation of a bibliography is in AMS-'IEX, and it has tion, Revise, which is used in adjusting some mathematical not yet been incorporated into AM<)-hT]3X. The preamble is constructs. very complex to do; my younger son wrote a program that The Insert menu places mathematical constructs such creates the preamble for up to two authors. Something like as subscripts, superscripts, and roots in the document; all that progam will have to be included in Scientific Word. these are also available as icons. In addition a "field" Finally, there is the top matter which would require only the can be inserted, which is the way Scientific Word does expansion of Front Matter from three to about fifteen cross references (\ref), page references (\pageref), and items. bibliographic citations (\cite). You can also insert a "TeX There is one more aspect of Scientific Word that needs to Field", which is 'lEX or h'IEX code not available otherwise. be emphasized: the designers do not want to force working in The menus View and Tag help customize the screen. a certain way. They will often progam two or three ways of Additional customization is under Tools in User Setup .... doing the same task (the keyboard vs. the mouse, pull down The spelling checker is also under Tools. menu vs. icons, etc.) so that you can choose the one that suits The toolbar has two groups, one on the left and one on your work habits the best. the right. On the left, the top row contains more or less the There is no major area to criticize in the design of Scientific same items as the Insert menu (except for the fields) along Word. However, some small items come to mind. The Edit with the text mode/math mode switch. The bottom row is menu uses the old keyboard shortcuts (e.g., Shift+ Del for Cut) user modifiable; it contains the eighteen most important math instead of the new ones everybody is standardizing (Ctrl+Z, symbols. These are available with one click. All the others X, C, and V). There should be more customizable icons, in a need two. On the right side there are seventeen icons; each third optional row: eighteen is not enough; maybe thirty-six will pull down a palette of choices, such as the Greek alphabet, is. The AMS font extension should be in the symbol tables. the binary relations, text/math accents, and so on. So to type Presently, there are only two negated binary relations; the Gratzer, when I come to a, I click on the accent icon, then on Calligraphic font is used instead of the more attractive Euler the a, and the a is entered into the text. And of course, I see a script, and there are no German letters. and not \"a. The beautiful display of Scientific Word is, of course, not The bottom of the screen contains the icons for designating the same as the printed 'lEX version. To see how 'lEX will items (example: bullet item); for designating what kind of print it, choose view in the File menu. Scientific Word copies text to be typed: Body Text, Section Head, Body Quote, and your file to a temporary file and invokes TurboTE;X to typeset so on (most of these are arguments of commands in h1]3X, it; then the TurboTF}( DVI Translator is called to show you some are environments); and for designating the font style the typeset version. to use (bold, italic, and so on). If the text is marked italic, TurboTEX is a small 1]3X, meaning that it will not do the it wiii appear as italic on the screen. The next icon shows job if the memory requirement is excessive (for instance, if the "keyboard mode"; from "normal" it can be switched to the article uses many macros or cross-references). But worse "Greek" or "Symbol" for an alternate way of entering these than that, TurboTE;X is slow. One of the sample documents characters. provided by Scientific Word took sixteen seconds on another The item designator is used also to tag an item as a 'lEX; it took fifty-six seconds on TurboTJiX. And this was only theorem-like structure. This aspect of h'IEX has not been one pass; normally, two passes are needed to process a :&1]3X implemented in accordance with the design philosophy of document. Scientific Word. Presently, you are given two options (shells) After the typesetting, the TurboTEX DVI Translator dis­ which you can further modify with h'IEX commands in the plays the typeset version. After a long delay, you see the LaTex section of Doc Info. typeset version placed in a window off center. To adjust the Finally, there is the Import Fragment icon (also available picture, click on the arrows (click on an arrow only once; the in the File menu) to import 1]3X or h'IEX fragments. picture moves only after the arrow is released). Clicking any­ How much of h'IEX was implemented in accordance with where in the window wiii show a magnified picture; however, the design philosophy of Scientific Word? This is hard to say, since the (rasterized) fonts are not changed, the magnified maybe 30%-40%? Of course, some of the most important picture looks awful. If you magnify with the Magnify menu, areas have been covered: the visually correct entering of text, it takes a long time to get the magnified page, but the result is inline math, and displayed math. nice. There are four major areas that have not yet been done: the If you invoke the previewer again, it does not remember multiline aligned math formulas of AMS-'IEX (and of .4_yt5- the page you were on or the previous position of the typeset h1]3X), the bibliography, the preamble, and the top matter. page in the window, so everything has to be adjusted again. These will require quite a bit of additional work. The multiline The good news is that Scientific Word is not hard-wired aligned math formulas should be done visually (dragging the to TurboTF}(. With a text editor, open the file sciword. ini in separation lines and the alignment lines with the mouse as the windows directory. In the file you find the [TeX] group,

FEBRUARY 1994, VOLUME 41, NUMBER 2 109 ...... -- ...... -...... ___ ,__ ,._._, ___ .___ .__ .______.__ .__ lii'',m1Wf;r?~jjjt~-- ...... Computers and Mathematics containing the lines all, you do see the formulas "typeset". This is true, in part, but consider this: you want to have the following in your article: TeXPreviewer=C:\SCIWORD\TeX\wdviwin,-z On the right LaTeX=1,C:\SCIWORD\TeX\wlatex. using the verbatim environment. I do not know how to do this except by trial and _error, requiring a number of typesettings. Comment these lines out (by inserting a semicolon at the As another example, take a "line too long" error; it usually beginning of the line) and replace them to show a powerful takes me a number of typesettings to correct one. For instance, 'JEX and a good previewer. Since I have DVIWindo and Big I changed the font of the text of [3] from CM to Times. PCTF}(386 on my disk, I made the following substitution: This caused 154 "line too long" errors. That takes a lot of turnarounds to correct. · If we compare the viewers, I think DVIWindo comes ;TeXPreviewer=C:\SCIWORD\TeX\wdviwin,-z out ahead. It has very many nice features not matched by TeXPreviewer=c:\dviwindo\dviwindo,,2 other viewers, including Lightning Textures; the pages always ;LaTeX=1,C:\SCIWORD\TeX\wlatex, coming up centered, the ease of cutting from the typeset page, LaTeX=1,c:\pctex\tex386b &lplain, the coloring and listing of fonts. On the other hand, the viewer /PI=c:\sciword\tex\macros,\ of Lightning Textures remembers pages and positions in the same session, a great advantage. This substitutes PCT)j(386b (big) for Turbo'I)j( and DVI­ How flexible are the uses of format files? In PCT)j( Windo (from Y&Y, see Section 6) for the Turbo'I)j( DVI for Windows we are restricted to five, of which three are Translator. named plain, LaTeX, AMSTeX, and two are named Format! Now start Windows, then Scientific Word, and preview, say, and Format2; in Scientific Word none are available directly; the document checkout. tex. Click on Magnify, Unmagnify, in Lightning Textures we have complete flexibility. and enjoy the fast response. Under File, choose Zoom in. Some comparisons are summarized in the following table. The cursor turns into a magnifying glass; draw a rectangle around the part you want to magnify, and instantly you see it PCTF}(for Scientific Textures Windows Word DV/Windo in detail. The best is yet to come: under Preferences, check Color turnaround fonts. Under Fonts, choose DVI file fonts. A table comes time very fast fast slow fast up listing all the fonts that are being used and their color viewer very good good poor best coding; and their previewer shows the fonts in color-the best simple, simple way to learn about fonts. editor simple small simple For very high quality printing you can further customize local not magnification yes yes usable best Scientific Word by installing your own printer driver. DVIP­ SONE from Y &Y is one of the most capable printer drivers; format not files flexible fixed available - it also produces smaller PostScript files, an advantage if you most recent want to distribute your work in this format. files no yes yes no spelling 5. Pros and Cons checker no no yes There are a number of ways we can compare the products reviewed in this article. 6. The Products For instance, we can compare turnaround times, that is, Lightning Textures is published by Blue Sky Research; 503- how long does it take to make some changes in the editor and 222-9571. see the change in the typeset version. In PCTF}( the turnaround PCTF}( for Windows (and Big PCT)j(386) is published by time is long: save the file, quit the editor, typeset the article Personal'JEX, Inc.; 415-388-8853. with PCTF}(, call the viewer, then get to the right place. You can obtain DVIWindo and DVIPSONE from Y&Y; In PCT)j( for Windows this process is much faster; 508-371-3286. however, since in the viewer all the adjustments need to be DVIWindo requires the PostScript CM and AMS fonts; made anew, it is not as fast as it could be. these can be obtained from Blue Sky Research and Y & Y. The In Lightning Textures the turnaround is very, very fast. PostScript CM fonts for ffiM compatible computers are also Here is an example: I am working on page 5 of a mathematical available from Personal'JEX. article. I make a change and press Command-T (typeset). Six Scientific Word is available from TCI Software Research, seconds later I see the new page 5. (The rest of the article may Inc.; 505-522-4600. take longer to typeset, but page 5 is already shown.) As we saw in Scientific Word, the turnaround time is not very fast (but, of course, depends on the 1}3X and the viewer References installed), but users of Scientific Word would argue that you [1] George Gratzer, AMS-P.'JEX, Notices Amer. Math. Soc., Febru­ do not have to typeset in Scientific Word all that often-after ary 1993.

110 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Computers and Mathematics

[2] __ .Advances in TfX Implementations: I. PostScript Fonts, of arrows (used to transition between states or send messages Notices Ame1: Math. Soc., September 1993. to other processors), and references to numerical variables. [3] __ , Math into Tjj}(.. A simplified introduction using A,MS- Within a processor, exactly one state is "active" at a given 1'}'1}3XBirkhiiuser Boston, 1993. time. This state will at some point "time out", passing control to another state and affecting variables and other processors

··T ... via the arrows whose tails are attached to the state that just timed out. Reviews of Mathematical Software There are three types of arrows: "signal", "time out", and "trigger". Each arrow has a "tag". A signal arrow points either to a variable box (which "contains" the value of a variable) or processor "proxy" box (which names another processor). If the signal arrow points to a variable box, then the tag contains Xtall.O a formula that affects the variable's value (e.g., the tag * 1 Reviewed by Eric Schweitzer* ' add' on an arrow pointing to the variable box named n1 will add 1 to n1). If the signal arrow points to a processor proxy box, then the tag contains a weighted symbol (like * 2 'x') that is sent to the indicated processor's input buffer. This Introduction could be used to trigger a trigger arrow as below. Xtal is, according to the author, a "visual programming Time out arrows and trigger arrows point to other states language for simulating scientific models". It differs from within a processor. A time out arrow's tag contains a real­ any other language I have seen in that one does not "write" valued formula that controls the amount of time before the programs, one "draws" them. In the following I will attempt selected state times out. A trigger arrow contains a set of to describe this "language", as well as remark on the ease of weighted symbols. If this is matched by the contents of the learning and use of the X tal package. processor's input buffer, then that trigger is activated, and Xtal was written by Ellis D. Cooper of Morphisms at control passes to the state pointed to. 200 West 141h Street, New York, New York, USA, 10011. The whole program gets started with a "bang", in which The phone number is 212-924-2739. Xtal is available from every active state times out at once. This resets the clocks Morphisms at a listed price of $120 for the disk and manual. of these states. The user can have the program set to "repeat I did have occasion to talk to Dr. Cooper who was quite bang" a number of times (up to a few thousand). One can helpful in clearing up a misunderstanding that I had about the think of the program cycling through three basic steps: software. • advance the system's clock one "tick", and time out any active states scheduled to time out at that point; Requirements • send signals from the timed out states to the indicated Xtal 1.0 is designed to run on an IBM compatible computer processors; • check each processor's input buffer for signals matching running Windows 3.0 or later. It requires 550K of conventional memory on a 286 or higher computer. The "examples provided trigger arrows. If there is an exact match, change state in . . . work well enough on a 12 MHz IBM AT", although "you that processor. If not, clear the input buffer. get better results if the serial computer is a high speed This language does not support recursion, nor are there many functions implemented. The lack of recursion would machine". 1 I ran Xtal on a 486 DX machine running at seem consistent with the author's goal of modeling neural 33MHz with 8MB RAM under Windows 3.1 and DOS 5.0. At no time did the performance of the package seem sluggish nets, as it seems impossible for such nets to do recursion. on this machine, though I did tend to play around with small Having used this language for a while, this reviewer thinks examples and never built a program with more than six the concepts embodied have a certain charm. The language processors. helps one to think "parallelly", and once the user has gotten used to the interface, the ease of use and editing abilities gives a nice environment for "messing around" with parallelism. The "Language" Such an environment would be well suited to an introductory In Xtal a "program" consists of a collection of "processors". course where getting the feel of parallelism is important, or One builds processors using a "point and click" accessed perhaps as a front end for a "real" parallel computer where menu system. These processors contain states, various types easy modification of a program is important.

*Eric Schweitzer is in the department of mathematics at the CUNY Graduate School and the department of computer science at Hunter College, CUNY. He Implementation describes himself as a mathematician by training and avocation. and a teacher When you enter the X tal environment, you see a screen with a of computer science. He says he dislikes 'Point and Click' operating systems, menu bar at the top, a blank area below that, and three boxes though not drawing programs, and points out that this colors his view of the world at large and his view of the software under review. His e-mail address is below that (a Timing Diagram box, a To Do stack, and a [email protected]. Session Record box). One creates a processor box by clicking 1Xta/1.0, pg. 2-1 on the Processor menu and dropping a processor

FEBRUARY 1994, VOLUME 41, NUMBER 2 111 Computers and Mathematics

- ::- - - ·------·--- - gen1 r= gen2 f.dit f.dit I Diagram Element Q.iagram Element -- I ~ 4 f%;1 ). ~'·--~ I 1a~ - Session Record - T!J_:-Po Stack =lJ .BCD File Simulate or Change I timeout gen1 expWait 1:s2--->s1 ~ ,r, .r.• • • •' <- • •<- n ,., l;>:i :1: :t•!f;;:2 ~t:;.:f_ + ·+J.'j 1+ - -· -- - -, - i"' 1 'add':s1->n,.-:- ' I' ' ' ' ' ' ' ' I ' 1 'add':s2->n1 ' ' i ' ' ' ' ' ' ' I '

Figure 1

emf ;,/ ••.:<,· ;: .. ··••·· :~:<\:;:Y;k;,{\/};i: ..• ·:X~f;~::#w~~t\Q#~~$df:~mr$:-;:iy(::'(,:;,;;t~:;·:·:.;;~::,:f:;p:;;::;::; mQ?i•l:J.!J .~L File Erocessor! functions Activate! .Simulate A_djust! Examples _--!)en1 gen2 l fEdit f.dit ~agram Element Q.iagram Element I 1-·---l I n L Session Record I .RCD File To-Do Stack !~ I I n1 <--- 302. Simulate or Change n1 <--- 303. n1 <--- 304. n1 <--- 305. n1 <--- 306. n1 <--- 307. n1 <--- 308. n1 <--- 309. n1 <--- 310. n1 <--- 311. n1 <--- 312. +

Figure 2

112 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Computers and Mathematics box somewhere on the screen. The user must then name the left corner, while others can be closed only by clicking on an processor box, after which it can be filled with states, arrows, "accept" or "cancel" button. If a user is loading and saving a and the other things mentioned above. This is done by clicking few different programs, he or she must navigate through the on the processor's Diagram Element bar, where you find a list whole directory tree from the root to get to where the program of the various elements; selecting one of those elements; and is stored. It would be nice if a default directory could be set. dropping it (if it is a state, variable, or proxy) or attaching its Similarly, if you want to load a program while another is tail, tag, and head (if it is an arrow). The user can also edit active, you are prompted to save the previous program before (rename or retag) an object, move it around the processor box loading, even if the previous program had just been saved. (by click-and-dragging), or delete it. Perhaps the most notable need for improvement lies in One can display the "spike trains" of various arrows in the documentation. I found it rather confusing, not because the Timing Diagram window. This is a record of when the it was incomplete (it is not) but because it uses unfamiliar various arrows are fired and is represented by a spike on an terminology. For example, we've seen that processors com­ oscilloscope-like trace (see Figure 1). Although the values of municate by (among other ways) passing values via global variables are not normally displayed during a run (one can (or shared) variables. In fact, all variables are accessible to all always look at them between bangs by clicking on one of the processors, yet the terms "global" or "shared variables" don't variable boxes), they can be displayed in the Session Record appear in the documentation. (One should note that included box by selecting "display on" from the Adjust menu (see in the review package was an advertisement for Xtal 1.0 that Figure 2). states that a program "is a diagram of intercommunicating processors and global variables", but this did not appear in the Possible Improvements manual.) Similarly, I could find only one mention of the fact Although the implementation of the above ideas is, for the that a state's time before time out is given by the function in most part, well done, there is room for improvement. For the time out arrow that calls it, and this was mentioned almost example, an arrow's tail must start at the edge of a state, in passing (Xtal, pg. 5-10). This is not mentioned in the and its head must be at the edge of an appropriate object. glossary, nor was such an important construct made obvious. If the tail is attached, and the edge of the object one wishes This would make the documentation (and hence the program) to attach to is missed, a spot is dropped (where the arrow is difficult to use as introductory material. allowed to bend) rather than the arrow's head. It would be The documentation is about sixty pages long. Over one­ easier to drop these arrows if the curser somehow changed to fourth of this is devoted to Dr. Cooper's philosophy of indicate the appropriate place to drop the arrow head. Signal science and other "background" information that makes the arrows are used for two different things: sending signals documentation read, in part, like an advertisement of some to another processor and changing variables. As such, the kind. I think much of this could profitably be replaced by a contents of the signal arrow's tags are different: formulae for clearer explanation of the software's workings. the variable signals and weighted symbols for the processor proxy symbols. It would seem to make sense that there would be two different types of arrows for these two different things. Similarly, the error messages could well be more specific Data Desk 4.1 (e.g., why is * 1 "x" a bad tag for a signal arrow?. Is it the wrong type of arrow, or is it that the "s should really be's?). Reviewed by Roger Pinkham* Since all variables can be accessed globally, there should be some way to "guard" a variable. For example, what happens Data Desk is an extensive, thoughtfully designed software if two processors try to access the same variable at the same tool, enabling the user to conduct unfettered, exploratory data time? In this implementation, the problems of ill-defined analysis and to follow leads and queries in an effortless and results are avoided by allowing only one to add or subtract seamless manner. A singular feature of Macintosh software is values from these variables; but should the language be that, with literally one or two exceptions, it all functions the expanded to allow other operations, this could be a problem. same way. Knowledge about one piece of software provides a One needs to be careful when using the real-valued base of experience for running the next. This package is no functions in a time out arrow. These function names are case exception. The author takes full advantage of the Macintosh sensitive (a fact not mentioned in the documentation). If you graphical user interface; typing is at an absolute minimum. use the Function menu to create the tags, there is no problem, And, because the author is himself a user, the facilities are but if you type in expwai t 1, you get an error message, there. because expWait 1 is the function you want. (expWait is an For example, in a scatter plot one often notices a point exponential wait function.) which seems aberrant or noteworthy for some reason. You There are a few other minor but annoying points. The want to know which datum gave rise to it. Because files are installation routine for Xtal is done in DOS, although one must run Windows to use the software. There are a few *Roger Pinkham is a professor of mathematics at the Stevens Institute of inconsistencies in window handling. For example, there are Technology, Hoboken, NJ 07030. His electronic mail address is rpinkham@ some dialog boxes that one can close by clicking in the upper vaxc.stevens-tech.edu.

FEBRUARY 1994, VOLUME 41, NUMBER 2 113 ...... - ...... _.. __ , ______Computers and Mathematics dynamically linked, you can use the mouse to point to the provides a single, integrated, extensive, completely interactive point, and instantly find it is General Motors, ffiM, etc. If environment to enable data exploration, and it should make you see a whole collection of points that are singular for teaching an introductory course in interactive data analysis a some reason, you can take the mouse and literally encircle the true delight. collection, much as you would with a pencil; and henceforth The full-blown version of Data Desk can be obtained from these data will always be plotted in red or yellow or whatever Data Description, Inc., P. 0. Box 4555, Ithaca, NY 14852; color you choose, provided you are blessed with a color 607-257-1000, while the student version of Data Desk can monitor. Otherwise, you can use some special symbol such be obtained from W. H. Freeman and Co., 41 Madision Ave., as a plus sign, an asterisk, an x, etc. This means that in all New York, NY 10010. subsequent plots, whether of the same nature as the original or not, these points will be instantly recognizable...... !iil_llil_ .llilllilllilllilllil®lliiM-IIilllililiiM®IIilllill!il;iliiiliillill!illlilllilllilllilllil.iliiM!Iii®iliiiliillil" ilii!M ---·········-·-·· ... ···-·-······-·-········-········· A splendid utilization of this tool is in conjunction with yet another exploratory aid. Three-dimensional scatter plots Correspondence can be rotated or spun at will, the rate and direction of rotation determined by the user. These spinning plots produce a pronounced sense of three-dimensional depth. Marked points I have some comments on the number theory package stand out like proverbial sore thumbs. Sometimes it is only by Numbers, reviewed in the Notices of the A.M.S. 39 (1992) rotating a 3-D scatter plot that one notices a coherent collection 840-841. of points that would have otherwise escaped attention. While the package has much to commend it, the statement For a multidimensional data set, one can have a simultane­ made about its ability to factorize numbers ("a 38 digit number ous plot of every pair of variables. Where the variable would was factorized in about 1 min. 38 sec.") is liable to lead to be plotted against itself, one sees a normal probability plot of disappointment for users. the variable instead. Now, the ability to mark collections of Obviously the time taken to factorize a number N depends points enables one to see noteworthy variables simultaneously greatly on N (if there are enough terminal zeros, one can use in each plot in which they occur. This is accomplished with mental arithmetic); the parameters of the Pollard rho method a so-called "brush tool" which allows you to brush across can also affect the time considerably as will be seen below. points in one plot, and as these points light up so do the I constructed numbers N(n) with 2n decimal digits as representations of these points in all the other plots. the product of two arbitrarily chosen primes in the interval There is a complete suite of regression diagnostics, the (9 .10

114 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY News and Announcements

Elias Stein Receives Schock Prize and did postgraduate work in philoso­ ing Machinery (ACM-SIGACT). This ELIAS M. STEIN of Princeton Univer­ phy before moving to Sweden in 1960. annual award is presented alternately sity has received the Rolf Schock Prize He received his doctorate in 1968 from at the International Colloquium on Au­ in Mathematics. A linguist, an archi­ Uppsala University with a dissertation tomata, Languages, and Programming tect, and a composer also received on certain deviant logics that make no and at the ACM Symposium on the The­ the Schock Prizes of 400,000 Swedish existence assumptions. He became an ory of Computing. Beginning in 1994, Crowns (about $50,000) each, which assistant professor at Uppsala Univer­ the Godel Prize will be accompanied were presented at a prize ceremony sity in 1969, though for the most part by a $5000 award funded by PWS in Stockholm in November 1993. The he was an independent scholar in logic Publishing Company and International prizes are presented by the Royal Swedish and philosophy without a permanent ap­ Thomson Publishing. Academy of Sciences, the Royal Academy pointment. He died in an accident in The GOdel Prize is named in honor of Fine Arts, and the Royal Swedish December 1986 and bequeathed half of of Kurt Godel, in recognition of his ma­ Academy of Music. Stein was honored his considerable fortune, which he had jor contributions to mathematical logic "for his fundamental contributions to inherited from his father, for prizes in and of his recently discovered early in­ the theory and applications of harmonic the arts and sciences. This is the first terest in what has become the famous analysis". time the Schock Prizes were awarded; "P versus NP" question. The prize was Stein is the Albert Baldwin Dod Pro­ they will be awarded every two years. first awarded in 1993 for two papers: fessor of Mathematics at Princeton. He "Arthur-Merlin games: a randomized received his bachelor's degree in 1951, Margaret Wright Elected proof system and a hierarchy of com­ his master's degree in 1953, and his Next SIAM President plexity classes," (Journal of Computer doctorate in 1955, all from the Univer­ Margaret H. Wright of AT&T Bell Labo­ and System Sciences 36 (1988), 254- sity of Chicago. After two years as an ratories has been elected president of the 276), by LASZLO BABAI of the Univer­ instructor at the Massachusetts Institute Society for Industrial and Applied Math­ sity of Chicago and SHLOMO MoRAN of of Technology, he returned to Chicago ematics (SIAM) to serve a two-year term Technion-Israel Institute of Technology; for four years before joining the Prince­ beginning January 1, 1995. Wright has and "The knowledge complexity of in­ ton faculty in 1963. He was a member been SIAM vice-president-at-large since teractive proof systems," (SIAM Journal of the Institute for Advanced Study in 1990. Avner Friedman of the Institute on Computing 18 (1989), 186-208), by Princeton (1962-1963 and 1971-1972). for Mathematics and its Applications at SHAFRIRA GoLDWASSER and SILVIO MI­ He was a Sloan Foundation Fellow, a Se­ the University of Minnesota is currently CALI of the Massachusetts Institute of nior Postdoctoral Fellow of the National president of SIAM. Technology and CHARLES RACKOFF of Science Foundation, and a Guggenheim the University of Toronto. Fellow. He received honorary degrees Godel Prize for These two papers introduced the from Peking University and the Univer­ Theoretical Computer Science concept of an interactive proof system, sity of Chicago. In 1984 he won the The Godel Prize is awarded annually for which provides a rich new framework AMS Steele Prize for his book Singu­ an outstanding paper (or collection of for addressing the question of what con­ lar Integrals and the Differentiability papers) in the area of theoretical com­ stitutes a mathematical proof. The inven­ Properties of Functions (Princeton Uni­ puter science that appeared in a journal tion of this framework has already led to versity Press, 1970). during the previous six years. The award some of the most exciting developments Rolf Schock was born in France is sponsored jointly by the European As­ in complexity theory in recent years, in 1933 of German parents who later sociation for Theoretical Computer Sci­ including the discovery of close connec­ emigrated to the U.S. He received a ence (EATCS) and the Special Interest tions between interactive proof systems bachelor's degree in geology and psy­ Group on Algorithms and Computing and classical complexity classes, and chology, with a minor in mathematics, Theory of the Association for Comput- the resolution of several major open

FEBRUARY 1994, VOLUME 41 , NUMBER 2 115 ...... ______,___ ,...... ,, ... ,...... ,,,,, .. ,...... ,.. ,,,,., ... . News and Announcements problems about the difficulty of finding all participants will be accommodated Algebra, Complex Analysis, Opti­ near-optimal solutions to combinatorial as time permits. mization, and Topology, six students, optimization problems. Written contributions should be sub­ nine weeks. Contact: Steven L. Blum­ The 1994 GOdel Prize will be pre­ mitted by March 30, 1994. Earlier con­ sack, Department of Mathematics, sented at the International Colloquium tributions will facilitate the commit­ Florida State University, Tallahassee, FL on Automata. Languages, and Program­ tee's review of the Employment Task 32306; telephone: 904-644-2488; fax: ming in Jerusalem in July 1994. Force's recommendations. Written state­ 904-644-4053; e-mail: blumsack@ ments can be sent by electronic mail to math. f su. edu. CoProf Open Forum emp-f orum@math. ams . org or mailed to Matrix Theory and its Applications, on Employment Issues the CoProf Subcommittee on Employ­ six students, eight weeks. Contact: John at Eastern Sectional Meeting ment Issues, Attn: Diane Mack, Amer­ H. Drew, Department of Mathematics, The AMS Committee on the Profession ican Mathematical Society, P.O. Box College of William and Mary, Williams­ (CoProf) will sponsor an open forum at 6248, Providence, RI 02940. burg, VA 23187; telephone: 804-221- the AMS Eastern Sectional Meeting at CoProf anticipates sponsoring fo­ 2025; fax: 804-221-2988; e-mail: Polytechnic University, Brooklyn, NY, rums at other regional meetings as the j hdrew@wmvml. on April9, 1994, on issues related to the need and opportunity arise. Operations Research, Probability, employment of mathematicians. Graph Theory, Continued Fractions, The main purpose of the forum is REU Summer Programs and Combinatorics, six students, two to foster dialog and seek input from the for 1994 months. Contact: Clifford A. Reiter, De­ community of mathematical scientists The Division of Mathematical Sciences partment of Mathematics, Lafayette Col­ on the role that the AMS can take to of the National Science Foundation lege, Easton, PA 18042; telephone: 215- improve employment opportunities in (NSF) has announced awards for fis­ 250-5277; fax: 215-250-9850; e-mail: the mathematical sciences. Meeting par­ cal year 1993 in the Research Experi­ [email protected]. ticipants will be given the opportunity ences for Undergraduates (REU) pro­ Computational Group Theory and to speak, and are welcome to provide gram. Designed to encourage talented Graph The my, six students, eight weeks. written and oral testimony to support students to pursue careers in research, Contact: Rhonda L. Hatcher, Depart­ CoProf's efforts in this area. these summer residential programs give ment of Mathematics, Texas Christian All members of the mathemat­ students hands-on, in-depth experience University, Fort Worth, TX 76129; ics community, including those mak­ in research. telephone: 817-921-7335; fax: 817- ing oral presentations at the forum, Notices readers may wish to encour­ 921-7333; electronic mail: hatcher@ are encouraged to contribute written age talented undergraduates to apply gamma. is. tcu. edu. statements to CoProf. to participate in these programs. Those Selected Topics, ten students, eight CoProf is currently reviewing ac­ interested should contact the principal weeks. Contact: Susanne M. Lenhart, tions that can be taken to extend the im­ investigators directly, not the NSF. This Department of Mathematics, University plementation of recommendations made year's programs are listed below. of Tennessee, Knoxville, TN 37996; in 1992 by the AMS Task Force on Analysis, Probability, and Finite telephone: 615-974-2461; fax: 615- Employment. Contributors to the forum Mathematics, six students, ten weeks. 974-6576; electronic mail: lenhart@ and others providing written statements Contact: Steven G. Krantz, Department mathsunlO.math.utk.edu. are encouraged to consider those recom­ of Mathematics, Washington Univer­ Discrete Mathematics, Combina­ mendations. The full text of "Employ­ sity, St. Louis, MO 63130; telephone: torics, and Graph Theory, six ment and the U.S. Mathematics Doc­ 314-935-6712; fax: 314-935-5799; e­ students, ten weeks. Contact: Joseph torate: Report of the AMS Task Force mail:c31801sk@wuvmd. bitnet. A. Gallian, Department of Mathematics, on Employment, July 1992" is avail­ Computational Explorations in Ge­ University of Minnesota-Duluth, Du­ able on e-MATH GOPHER in the cate­ ometry and Analysis, six students, eight luth, MN 55812; telephone: 218-726- gory "General Information of Interest to weeks. Contact: Sheldon Katz, Depart­ 7576; fax: 218-726-6360; e-mail: Mathematicians." ment of Mathematics, Oklahoma State [email protected]. Any member of the mathemat­ University, Stillwater, OK 74078; tele- . Algebra, Topology, and Applied ics community who wishes to make phone: 405-744-5788; fax: 405-744- Mathematics, eight students, eight weeks. an oral presentation is asked to no­ 8275; e-mail: katz@math. okstate. edu. Contact: Darrell Haile, Department of tify James W. Maxwell at the AMS Wavelets, Circle Packings, Ecosys­ Mathematics, Indiana University, Bloom­ (e-mail: [email protected]) before tem Dynamics, and Spline-Galerkin ington, IN 47402; telephone: 812-855- March 30, 1994. Oral presentations Methods, eight students, eight weeks. 2197; fax: 812-855-0046; e-mail: should be limited to five minutes in Contact: Robert S. Strichartz, Depart­ [email protected]. order to afford opportunities for broad ment of Mathematics, Cornell Uni­ Selected Topics, ten students, eight participation. Priority for oral presenta­ versity, Ithaca, NY 14853; 607-255- weeks. Contact: Dennis J. Garity, De­ tions will be given to meeting partici­ 3509; fax: 607-255-7149; e-mail: reu@ partment of Mathematics, Oregon State pants who register in advance, though math.cornell.edu. University, Corvallis, OR 97331; tele-

116 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY News and Announcements phone503-737-5138; fax 503-737-0517; students, seven weeks. Contact: Gary J. application forms, call or write the local e-mail: gari ty@math. orst. edu. Sherman, Department of Mathematics, contact person. Computational and Combinatorial Rose-Hulman Institute of Technology, Harvard Consortium Program, May Group Theory, ten students, eight weeks. Terre Haute, IN 47803; telephone: 812- 22-27, 1994, Karen and Joe Thrash of Contact: Andy Miller, Department of 877-8445; fax: 812-877-3198; e-mail: the University of Southern Mississippi; Mathematics, University of Oklahoma, [email protected]. local contact: Mike Pearson, Department Norman, OK 73019; telephone: 405- Algebraic Geometry and Knot The­ of Mathematics, Mississippi State Uni­ 325-6711; fax: 405-325-7484; e-mail: my, four students, eight weeks. Contact: versity, Mississippi State, MS 39762; James J. Madden, Department of Math­ [email protected]. telephone: 601-325-3414. Number Themy, Algebraic Geom­ ematics, Louisiana State University, Ba­ Core Approach to Calculus, June 5- etly, and Applied Analysis, eight stu­ ton Rouge, LA 70803; telephone: 504- dents, eight weeks. Contact: Mark A. 388-1580; fax: 504-388-4276; e-mail: 10, 1994, Don Small of the U.S. Military Peterson, Department of Mathematics, [email protected]. Academy; local contact: Captain Mor­ Mount Holyoke College, South Hadley, The my and Application ofStatistical gan Cornstubble, Department of Math­ MA 01075; telephone: 413-538-2162; Methods, ten students, eight weeks. Con­ ematical Sciences, USMA, West Point, fax: 413-538-2391; e-mail: mpeterso@ tact: Madhuri S. Mulekar, Department of NY 10996; telephone: 914-938-5987. mhc. bitnet. Mathematics and Statistics, University Oregon State Program, June 5- Mathematical Analysis and Anal­ of South Alabama, Mobile, AL 36688; 10, 1994, Tom Dick of Oregon State ysis of Nonlinear Phenomena, twelve telephone: 205-460-6264; fax: 205-460- University; local contact: Jack Porter, students, seven weeks. Contact: Steven 7969; e-mail: fmsm@usouthal. bitnet. Department of Mathematics, University E. Shreve, Department of Mathematics, of Kansas, Lawrence, KS 66045; tele­ Carnegie Mellon University, Pittsburgh, 1994 NSF Calculus phone: 913-864-4367. PA 15213; telephone: 412-268-8484; Reform Workshops Calculus in a Real & Complex fax: 508-831-6380; e-mail: shreve@ This summer, the National Science Foun­ World, June 19-24, 1994, Frank Watten­ galley.ece.cmu.edu. dation (NSF) will fund eight Calculus berg of the University of Massachusetts, Probabilistic Methods in Graph The­ Reform Workshops. The purpose is to Dick Rogers and Jim Peters of Weber my, Combinatorics, and Number The­ disseminate information on the major State University; local contact: Kendell my, six students, eight weeks. Contact: calculus reform projects and to provide Hyde, Department of Mathematics, We­ Arrant P. Godbole, Michigan Technolog­ participants with an in-depth experience ber State University, Ogden, UT 84408- ical University, Department of Mathe­ in one of the projects. All of the instruc­ 1702; telephone: 801-626-6095. matical Sciences, Houghton, MI 49931; tors have been intimately involved in the Project Calc, June 19-24, 1994, telephone: 906-487-2884, ext. 2068; development of the project that they will fax: 906-487-2357; e-mail: anant@ be presenting. Five important threads David Smith, Lang Moore, Sam Mor­ math. mtu. edu. will be woven through each workshop: ris of Duke University, Marcelle Bess­ Inverse Problems, ten students, eight • Calculus Reform Movement: His­ man of Frostburg State University; local weeks. Contact: Edward B. Curtis, De­ tory, Projects, Present State, and Fu­ contact: Sunny Norfleet, St. Petersburg partment of Mathematics, University ture Hopes. Junior College, Clearwater, FL 34624; of Washington, Seattle, WA 98105; • Participant involvement as a student telephone: 813-791-2561. telephone: 206-543-1945; fax: 206- under the pedagogy being promoted Calculus in Context, June 27-July 543-0397; electronic mail: curtis@ by the Calculus Reform Movement. 1, 1994, Ken Hoffman of Hampshire math.washington.edu. • In-depth experience in the reform College; local contact: Janet Beery, De­ Combinatorics, Dynamical Systems, project associated with the instruc­ partment of Mathematics, University of and Stochastic Processes, six students, tors. Redlands, Redlands, CA 92373; tele­ eight weeks. Contact: Terence R. Blows, • Experience in the use of technology phone: 909-793-2121. Department of Mathematics, Northern (computers, calculators) for teaching ACMIGLCA Materials, July 11-16, Arizona University, Flagstaff, AZ mathematics. 1994, Anita Solow of Grinnell College, 86011; telephone: 602-523-6863; fax: • Participant contribution (my "fa­ Phil Straffin of Beloit College; local 602-523-5847; e-mail: blows@ vorite" problem, curriculum topic contact: Wayne Roberts, Department of nauvax.ucc.nau.edu. development, evaluation). Topology, Dynamical Systems, Ap­ Early applications are encouraged as Mathematics, Macalester College, St. plied Mathematics, and Topology, six enrollments are limited. All workshop Paul, MN 55105; tel.: 612-696-6337. students, eight weeks. Contact: David expenses except for participant travel Calculus with Mathematica, July C. Carothers, Department of Mathemat­ are paid by the NSF. 31-August 5, 1994, Bill Davis of the ics, Hope College, Holland, MI 49423; Listed below are the titles, dates, Ohio State University; local contact: telephone: 616-394-7530; fax: 616-394- names of the instructors, and names and Tom Railey, Department of Mathemat­ 7123; e-mail: [email protected]. phone numbers of the local contacts ics, Ohio State University, Columbus, Computational Group Theory, six for each workshop. For information and OH 43310; telephone: 614-292-2254.

FEBRUARY 1994, VOLUME 41, NUMBER 2 117 News and Announcements

Call for Nominations community. If you are interested in sub­ Sumners. More details concerning the for Schafer Prize mitting a proposal for a future IMA Molecular Biology program and the up­ The Association for Women in Mathe­ program please contact the Director, A. coming Waves and Scattering academic matics (AWM) calls for nominations for Friedman. year program will appear in future issues the Alice T. Schafer Prize, to be awarded The IMA 1993-1994 academic year of the Notices. to an undergraduate woman for excel­ program Emerging Applications of During August 1-19, 1994, the IMA lence in mathematics. All members of Probability continues, with the guid­ will feature a new summer program the mathematical sciences community ance of the coordinators, J. Michael for mathematics faculty: Mathematical are invited to submit nominations for Steele (chairman), D. Aldous, P. Dia­ Modeling for Instructors. The goal is to the prize. The nominee may be at any conis, R. Durrett, and L. Shepp. De­ provide experience in the use of math­ stage of her undergraduate career. tails concerning the winter segment of ematical modeling to solve problems The letter of nomination should in­ the program, Mathematical Genetics; which come from industry and engineer­ clude, but not be limited to, an evaluation Queuing Networks, January 2-March ing for thirty-two college/university in­ of the nominee based on the follow­ 31, 1994, can be found in the Septem­ structors of undergraduates so that they ing criteria: quality of performance in ber Notices, and those for the spring can incorporate their experience and mathematics, exhibition of real interest segment, Probability in Geo-systems, newly acquired skills in either enrich­ in mathematics, ability for independent April1-June 30, 1994, can be found in ment of existing math courses or devel­ work, and performance in mathemati­ the December Notices. opment of new undergraduate courses cal competitions at the local or national The special workshop Applications in math modeling. The instructors will level, if any. Supporting materials, if of Mathematics in Manufacturing Lo-. solve these problems in teams coached any, should be enclosed with the nomi­ gistics will be held at the IMA on June by tutors. The tutors are D. Drew, P. nations. 20-24, 1994. Organizers include G. Mc­ Hagan, E. Cumberbatch, G. Young, D. One original and four copies of Donald (General Motors), L. McGin­ Ross, and C. Please. Applications are the nomination materials must be re­ nis (Georgia Tech), and R. Roundy due by March 15. See the advertisement ceived by April 1, 1994, and should be (Cornell). The workshop will focus on in this issue. sent to: Alice T. Schafer Award Selec­ the application of mathematical mod­ For more information about IMA tion Committee, Association for Women els and methods to logistical issues that activities see the Meetings and Confer­ in Mathematics, 4114 Computer and arise in manufacturing environments. ences section of this issue or contact Space Science Building, University of The specific areas of manufacturing ap­ the IMA at [email protected]. Maryland, College Park, MD 20742; e­ plications include planning production; Also, weekly IMA seminar schedules mail awm@math. umd. edu. For a list of scheduling production; scheduling the with titles and abstracts are available on last year's awardees, see the Notices, resources that are required for produc­ U senet: umn. math. dept and by finger­ July/August 1993, pages 642-643. tion; the study and control of material ing seminar@ima. umn. edu. 'lEX files flow in manufacturing systems (includ­ for .the Newsletter and the Update are ing justintime manufacturing and kan­ available via anonymous ftp (at News from the ban systems); and the management of ftp. ima. umn. edu) or gopher Institute for Mathematics inventories of raw materials, of work (at gopher. ima. umn. edu). and its Applications in process, and of finished goods. The University of Minnesota participants will include professionals The Board of Governors of the Institute from the private sector with interest Erratum for Mathematics and its Applications and expertise in manufacturing logis­ The December 1993 issue of the No­ (IMA) has approved the academic year tics, academicians from engineering and tices, page 1443, carried an announce­ program ''High Performance Comput­ business who study the application areas ment about the mathematical sessions ing'' for 1996-1997. Academic year mentioned above, and mathematicians at the annual meeting of the Ameri­ programs approved at earlier meetings who are interested in learning more can Association for the Advancement are "Mathematical Topics in Materi­ about manufacturing-related issues and of Science in San Francisco in Febru­ als Science" for 1995-1996 and "Waves problems. ary 1994. The announcement incorrectly and Scattering" for 1994-1995. From July 5-29, 1994, the IMA stated that Elliott Lieb would present the Important sources for IMA academic will present a summer program on Frontiers of Physcial Science Lecture. year and summer programs are pro­ Molecular Biology. The Organizers are Robert Osserman will deliver that lec­ gram proposals and ideas for proposals M. Waterman, T. P. Speed, G. Myers, ture on the subject, "The Mathematics submitted by members of the research J. P. Mesirov, K. Schulten, and De Witt of Cosmology".

118 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Funding Information for the Mathematical Sciences

Summer Internships in Probability must also be a U.S. citizen or permanent The following experts have agreed and Stochastic Processes resident or hold a tenured or tenure-track to take part in the program for extended National Science Foundation funding is position at a U.S. college or university. periods: Erik Aurell, Bjorn Bimir, Bela anticipated for continued support for Individuals whose regular position is Bollabas, Jean Bricmont, Pierre Collet, the summer internship program for re­ isolated from active research groups in Peter Constantin, Bruce Driver, Eugene cent Ph.D. recipients in probability and probability and stochastic processes are Dynkin, Jean-Pierre Eckmann, Uriel stochastic processes. The program will particularly encouraged to apply. Frisch, Nigel Goldenfeld, E. H. Hauge, again be held at the Center for the Math­ For further information and appli­ Kurt Johanson, Thordur Jonsson, Klaus ematical Sciences at the University of cation forms write to: Probability In­ Kirchgaessner, Andrew Majda, Paul Wisconsin, Madison. The objective of tern Program, Center for the Mathemat­ Malliavin, Anders Martin-Lof, David the internship program is to stimulate ical Sciences, University of Wisconsin­ Nualart, Yoshi Oono, Jiirgen Potthoff, and enhance the scientific development Madison, 1308 West Dayton Street, !tamar Procaccia, Michael Steele, Dan of capable young researchers. Opportu­ Madison, WI 53715-1149; or telephone Stroock, Vladimir Vatutin, Eugene nities will be provided for day-to-day T. Kurtz at 608-263-4659. The e-mail Wayne, Michael Weinstein, and Jack interaction with senior researchers from address is pip@cms. wise. edu. All ma­ Xin. The program is organized by Antti the University of Wisconsin, access to terials must be received by March 1, Kupiainen during the fall and by Bernt the major research library and other 1994, in order to ensure full consider­ 0ksendal and Peter Jagers during the research facilities of the university, es­ ation. Materials may be submitted by spring. tablishment of continuing contacts and e-mail. Selection of participants should Applicants should submit applica­ collaboration with other participants in be completed by April 1. tion forms, which are obtainable from the program, and advice and support in the institute. Requests for application developing long-term research plans. forms can also be sent via e-mail to The seven-week program will be­ karin@ml. kva. se. Applications should Mittag-Leffler Grants be sent before March 31, 1994, to: The gin June 27, 1994, and run through The Mittag-Leffler Institute announces August 12, 1994. The program this sum­ Board of the Mittag-Leffler Institute, the availability of a number of grants Auravagen 17, S-182 62 Djursholm, mer will be directed by M. Bramson, for the year 1994-1995. The program D. Griffeath, C. Neuhauser, and R. Pe­ Sweden. Decisions on awards will be of the Institute starts on September 1, made by mid-April1994. mantle of the University of Wisconsin, 1994, and ends on May 31, 1995. The Inquiries may be directed to: Antti Madison. The focus will be probability grants are intended for recent Ph.D.s or Kupiainen, Department of Mathemat­ theory and its application to mathemat­ advanced graduate students and amount ics, P.O. Box 4, FIN-00014 University ical physics and biology. Likely topics to 10,000 Swedish crowns per month, or of Helsinki, Finland (electronic mail: include percolation theory, interacting 100,000 Swedish crowns for those who ajkupiai@cc. helsinki. fi); or Bernt particle systems, random cellular au­ attend for the duration of the program. 0ksendal, Department of Mathematics, tomata, critical exponents, and popula­ Preference will be given to applications University of Oslo, Postboks 1053 Blin­ tion genetics. Featured speakers will be for longer stays. dern, N-0316 OSLO, Norway (e-mail: Professors Geoffrey Grimmett of Cam­ The subject for 1994-1995 is Statis­ oksendal@math. uio. no). bridge University, Gregory Lawler of tical Mechanics and Stochastic Analy­ Duke University, and Simon Tavare of sis. The emphasis will be on statistical the University of Southern California. mechanics, nonlinear partial differen­ Fulbright Scholar An applicant must have received a tial equations, and turbulence during the Awards Competition Ph.D. in some area of probability or fall term and on stochastic analysis and The Fulbright Scholar Program provides stochastic processes since January 1989. stochastic processes during the spring grants for university lecturing or ad­ In order to receive funding, an applicant term. vanced research in nearly 140 countries.

FEBRUARY 1994, VOLUME 41, NUMBER 2 119 Funding Information

Awards range from two months to a full mathematical sciences in other disci­ Ius Program and replaces that program. academic year, and many assignments plines. However, continuing the progress made are flexible according to the needs ofthe The interdisciplinary characteristic in the area of calculus remains a high grantee. The basic eligibility require­ of the initiative is central and will re­ priority for NSF. Support for projects ments for a Fulbright Scholar award are quire strong support across academic in calculus that do not have the inter­ U.S. citizenship and a doctorate or com­ units and development by mathemati­ disciplinary or other features expected parable professional qualifications. For cal sciences faculty in partnership with in this initiative is available through the lecturing awards, university or college faculty in other disciplines. Projects are Course and Curriculum Program (devel­ teaching experience is expected. Lan­ also expected to have a pervasive im­ opment of new curriculum and large guage skills are needed for some coun­ pact on the mathematical sciences and scale adaptation and implementation tries, but most lecturing assignments are the other departments involved, building projects), the Instrumentation and Labo­ in English. on such efforts to improve undergrad­ ratory Improvement Program (matching The deadline is August 1, 1994, for uate education as the calculus reform funds for equipment), the Undergraduate research or lecturing grants, but other movement. In addition to changes in Faculty Enhancement Program (work­ deadlines apply for special programs. course content, projects should involve shops for faculty), and the Advanced For further information and applica­ a full range of goals such as improv­ Technological Education Program. All tion materials contact: Council for In­ ing student learning through alternative of these programs are described in the ternational Exchange of Scholars, 3007 instructional practices, the effective use new Division of Undergraduate Educa­ Tilden Street, NW, Suite 5M, Box of computational technologies, and in­ tion Program Announcement (NSF-93­ GNEWS, Washington, DC 20008-3009; creasing the diversity of students who 164). telephone: 202-686-7877. Application are attracted to and successful in dis­ Initially, NSF expects to award 10­ requests only may be sent by electronic ciplines requiring a foundation in the 20 planning grants ofup to $50,000. It is mail to [email protected]. edu. mathematical sciences. expected that these planning grants will Projects could involve the entire provide a basis for the preparation of New NSF Program mathematical sciences curriculum or be comprehensive proposals that will lead The National Science Foundation has more focused; for example, the calculus to a few awards of up to $1 million per announced a new initiative: Mathemat­ curriculum, including courses that led year for 3-5 years. Information concern­ ical Sciences and Their Applications to and follow calculus, and its applica­ ing this new initiative is available in an Throughout the Curriculum. Projects tions in other disciplines. Consideration addendum to NSF-93-164 and is avail­ supported in the initiative are expected of other segments of the curriculum is able by calling 703-306-1669. Due date to lead to increased student understand­ also encouraged. for the proposals for planning grants is ing in the mathematical sciences and This initiative is a next step to the June 6, 1994, with full proposals due increased student ability to apply the NSF Calculus and Bridge to Calcu- February 6, 1995.

Topology and Its Applications s. P. Novikov, Editor

This book contains the proceedings of an international topology conference held in the town of Zagulba, near Baku in the former Soviet Union, in October 1987. Sponsored by the Institute of Mathematics and Mechanics of Azerbaijan and the Steklov Mathematical Institut'e, the conference was organized by F. G. Maksudov and S. P. Novikov. About 400 mathematicians, including about 100 foreigners, attended the conference. This book covers aspects of general, algebraic, and low-dimensional topology.

1991 Mathematics Subject Classification: 58, 55, 57, 54 ISBN 0-8218-3151-8,250 pages (softcover), November 1993 Individual member $108, List price $180, Institutional member $144 To order, please specify STEKLO/193NA

All prices subject to change. Free shipment by surface: for air delivery, please add $6.50 per title. Prepayment required. Order from: American Mathematical Society, P.O. Box 5904, Boston, MA 02206-5904, or call toll free 800-321-4AMS (321-4267) in the U.S. and Canada to charge with VISA or MasterCard. Residents of Canada, please include 7% GST.

120 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY 1994 AMS Election Nominations by Petition

Vice-President or Member-at-Large The President will name at least six candidates for these One position of vice-president and member of the Council ex three places, among whom may be candidates nominated by officio for a term of three years is to be filled in the election of petition in the manner described in the rules and procedures. 1994. The Council intends to nominate at least two candidates, The candidate's assent and petitions bearing at least 100 among whom may be candidates nominated by petition as valid signatures are required for a name to be placed on described in the rules and procedures. the ballot. In addition, several other rules and operational Five positions of member-at-large of the Council for a considerations, described below, should be followed. term of three years are to be filled in the same election. The Council intends to nominate at least ten candidates, among whom may be candidates nominated by petition in the manner Rules and Procedures described in the rules and procedures. Use separate copies of the form for each candidate for vice­ Petitions are presented to the Council, which, according to president, member-at-large, or member of the Nominating and Section 2 of Article VII of the bylaws, makes the nominations. Editorial Boards Committees. The Council of 23 January 1979 stated the intent of the Council 1. To be considered, petitions must be addressed to Robert M. Fossum, Secretary, P. 0. Box 6248, Providence, Rhode Island of nominating all persons on whose behalf there were valid 02940, and must arrive by 28 February 1994. petitions. 2. The name of the candidate must be given as it appears Prior to presentation to the Council, petitions in support of in the Combined Membership List (CML) . If the name does not a candidate for the position of vice-president or of member-at­ appear in the list, as in the case of a new member or by error, large of the Council must have at least fifty valid signatures and it must be as it appears in the mailing lists, for example on the must conform to several rules and operational considerations, mailing label of the Notices. If the name does not identify the which are described below. candidate uniquely, append the member code, which may be obtained from the candidate's mailing label or the Providence office. 3. The petition for a single candidate may consist of several Editorial Boards Committee sheets each bearing the statement of the petition, including the Two places on the Editorial Boards Committee will be filled name of the position, and signatures. The name of the candidate must be exactly the same on all sheets. by election. There will be four continuing members of the 4. On the next page is a sample form for petitions. Copies Editorial Boards Committee. may be obtained from the secretary; however, petitioners may The President will name at least four candidates for these make and use photocopies or reasonable facsimiles. two places, among whom may be candidates nominated by 5. A signature is valid when it is clearly that of the member petition in the manner described in the rules and procedures. whose name and address is given in the left-hand column. The candidate's assent and petitions bearing at least 100 6. The signature may be in the style chosen by the signer. valid signatures are required for a name to be placed on However, the printed name and address will be checked against the Combined Membership List and the mailing lists. No attempt the ballot. In addition, several other rules and operational will be made to match variants of names with the form of name in considerations, described below, should be followed. the CML. A name neither in the CML nor on the mailing lists is not that of a member. (Example: The name Robert M. Fossum is that of a member. The name R. Fossum appears not to be.) 7. When a petition meeting these various requirements ap­ Nominating Committee pears, the secretary will ask the candidate to indicate willingness Three places on the Nominating Committee will be filled to be included on the ballot. Petitioners can facilitate the proce­ by election. There will be six continuing members of the dure by accompanying the petitions with a signed statement from Nominating Committee. the candidate giving consent.

FEBRUARY 1994, VOLUME 41, NUMBER 2 121 ...... _...... _... lllllli!lliill ______...... _...... ·······-·······-··-··-··-·-··········-······-·-·-·····-·-··-····-

NOMINATION PETITION FOR 1994 ELECTION

The undersigned members of the American Mathematical Society propose the name of

as a candidate for the position of (check one): D Vice-President D Member-at-Large of the Council D Member of the Nominating Committee D Member of the Editorial Boards Committee of the American Mathematical Society for a term beginning 1 February, 1995.

Name and Address (printed or typed)

Signature

Signature

Signature

Signature

Signature

Signature

122 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY University of Kentucky, Lexington, Kentucky March 18-19, 1994 Second Announcement

The eight hundred and ninetieth meeting of the American Accommodations Mathematical Society (AMS) will be held at the University Rooms have been blocked in the following hotels. An of Kentucky, Lexington, Kentucky, on Friday and Saturday, NCAA Regional Men's Basketball Tournament is scheduled March 18-19, 1994. in Lexington for the weekend of March 18, so participants are advised to make reservations early. Participants should make Invited Addresses their own arrangements with the hotel of their choice. The Jack Dongarra, Oak Ridge National Laboratory and Uni­ AMS is not responsible for rate changes or the quality of versity of Tennessee, Recent work in parallel algorithms for the accommodations offered by these hotels/motels. linear algebra. Campbell House: 1375 Harrodsburg Road, Lexington, KY David R. Morrison, Institute for Advanced Study, Mirror 40504. Telephone: 606-255-4281. Single $55 and Double $60. symmetry and the quantum moduli space of Calabi-Yau Deadline for reservations is March 3, 1994. manifolds. James E. McClure, Purdue University, Applications of Hyatt Regency Lexington: 400 West Vine Street, Lexington, Hochschild andAndre-Quillen homology to homotopy theory. KY 40507. Telephone: 606-253-1234. Single or Double $78. George F. McNulty, University of South Carolina, Avoid­ Deadline for reservations is February 24, 1994. ing combinatorial patterns in strings of symbols. Kentucky Inn: 525 Waller Avenue, Lexington, KY 40504. Special Sessions Telephone: 800-221-6652 or 606-254-1177. Single $30 and Infinite groups and group rings, James C. Beidleman and Double $40. Deadline for reservations is March 3, 1994. Donald B. Coleman, University of Kentucky. Geometric group theory and metric geometry, Philip L. Springs Inn: 2020 Harrodsburg Road, Lexington, KY 40503. Bowers, Florida State University. Telephone: 800-354-9503 or 606-277-5751. Single $35 and Partial differential equations and minimal smoothness Double $44. Deadline for reservations is February 17, conditions, Russell M. Brown and John L. Lewis, University 1994. of Kentucky, and Zhongwei Shen, Purdue University. Graph theory, Karen L. Collins, Wesleyan University, Registration and Ewa M. Kubicka, University of Louisville. The meeting registration desk will be located in the main Collaborative learning in calculus and precalculus, foyer on the ground floor of the Business and Economics Michael B. Freeman, University of Kentucky. Building, which is near the main gate on South Limestone Inverse spectral problems: theory and computation, Peter Street, and will be open from 7:30a.m. to 5:00p.m. on Friday, D. Hislop and Peter Perry, University of Kentucky. March 18, and 7:30 a.m. to noon on Saturday, March 19. Homotopy theory, Mark A. Hovey, University of Ken­ The registration fees are $30 for members of the AMS, $45 tucky, and James E. McClure. for nonmembers, and $10 for emeritus members, students, or Combinatorics of words and equations in algebra, logic, unemployed mathematicians. and computer science, George F. McNulty. Quantum algebraic geometry, David R. Morrison, Insti­ tute for Advanced Study. Travel Elliptic genera and elliptic cohomology, Serge Ochanine, Delta has been selected as the official airline for this meeting. University of Kentucky. The following benefits are available exclusively to mathe­ Mathematics of many-body quantum theory, M. Beth maticians and their families attending the meeting: a savings Ruskai, University of Massachusetts at Lowell. of up to 10% off any published domestic fare (includes The deadline for submission of abstracts for consideration U.S., Canada, Bermuda, the Bahamas, Puerto Rico, and the in any of these sessions has expired. U.S. Virgin Islands), subject to applicable fare restrictions, There will also be sessions for contributed ten-minute is available. Seats are limited. Call 1-800-241-6760 between papers. The deadline for submission of abstracts for these 8:00a.m. and 11:00 p.m. EST to contact Delta directly or call sessions has expired. Unfortunately, late papers cannot be any licensed travel agent. Instruct the ticket agent to refer to accommodated. file M0456 in order to qualify for the applicable discount.

FEBRUARY 1994, VOLUME 41, NUMBER 2 123 Kansas State University, Manhattan, Kansas March 25-26, 1994 Second Announcement

The eight hundred and ninety-first meeting of the American Accommodations Mathematical Society will be held at Kansas State University Rooms have been blocked for participants at the Ramada in Manhattan, Kansas, on Friday, March 25, and Saturday, Inn, Best Western Continental Inn, and Days Inn. Participants March 26, 1994. All sessions will be held in Cardwell Hall should make their own arrangements directly with the hotel and Waters Hall. of their choice and request the AMS conference rate to obtain the rate listed. All rooms will be on a space-available basis Invited Addresses after March 8, 1994. The AMS is not responsible for rate Marilyn Breen, University of Oklahoma, Krasnosel'skii-type changes or the quality of the accommodations offered by theorems in orthogonal polygons. these hotels/motels. Michael C. Cranston, University of Rochester, On cou­ pling in applications ofprobability to analysis. Ramada Inn (0.2 mile to Cardwell Hall): 17th and Anderson David M. Goss, Ohio State University, Zeta functions of Avenue, Manhattan, KS 66502. Telephone: 913-539-7531. characteristic p arithmetic. Single $57 and Double $63. Mei-Chi Shaw, University of Notre Dame, Solvability and estimates for the tangential Cauchy-Riemann operators. Best Western (1.2 miles to Cardwell Hall): 100 Bluemont Special Sessions Avenue, Manhattan, KS 66502. Telephone: 800-452-5111 or Harmonic analysis and probability, Andrew G. Bennett and 913-776-4771. Single or Double $54 ($4 each additional person). Charles N. Moore, Kansas State University. Groups and geometries, Andrew L. Chermak and Albert L. Delgado, Kansas State University. Days Inn (1.7 miles to Cardwell Hall): 1501 Tuttle Creek Quantum topology, Louis Crane and David Yetter, Boulevard, Manhattan, KS 66502. Telephone: 800-325-2525 Kansas State University. or 913-539-5391. Rooms are $50 (2 double beds, 1-4 people). Global fields, David M. Goss, Ohio State University; Other hotels/motels in the area are the Holiday Inn (1.8 Michael I. Rosen, Brown University; and Dinesh Thaker, miles to Cardwell Hall), tel: 913-539-5311; Super 8 Motel (1.6 University of Arizona. miles to Cardwell Hall), tel: 913-537-8468 or (800) 800-8000; Special junctions, Robert A. Gustafson, Texas A&M and Motel6 (1.3 mile to Cardwell Hall), tel: 913-537-1022. University. Registration Several complex variables and partial differential equa­ The registration desk will be located inside the main entrance tions, A. Alexandrou Himonas, Institute of Advanced Study, to Cardwell Hall and will be open from 8:00a.m. to 5:00p.m. and Mei-Chi Shaw. on Friday, March 25, and from 8:00 a.m. to noon on Saturday, Nonlinear topics and critical phenomena in partial differ­ March 26. The registration fees are $30 for members of the ential equations, Lev Kapitanski and Lige Li, Kansas State AMS, $45 for nonmembers, and $10 for emeritus members, University. students, or unemployed mathematicians. Representations ofalgebraic groups and quantum groups, Social Events Zongzhu Lin and David B. Surowski, Kansas State Univer­ A cash bar reception will be held on Friday evening from 8:00 sity. p.m. to 11:00 p.m. at the Ramada Inn located just south of the Operator theory, Gabriel Nagy, Kansas State University, Kansas State campus. and Vladimir V. Peller, University of Hawaii. Convergence problems in ergodic theory, Joseph M. Travel Rosenblatt, Ohio State University. USAir is the official airline for this meeting. The following Dynamical systems and fluid dynamics, Misha Vishik, benefits are available exclusively to mathematicians and University of Texas at Austin. their families attending the meeting: 10% discount off any Computational mathematics and numerical analysis, Hu­ published domestic fare with a seven-day advance purchase. nan Yang and Qisu Zou, Kansas State University. Call USAir's Meetings and Convention Reservation Office at The deadline for submission of abstracts for consideration 1-800-334-8644 between 8:00 a.m. and 9:00p.m. EST or call in any of these sessions has expired. any licensed travel agent. Instruct the agent to refer to gold There will also be sessions for contributed ten-minute file #16950015 in order to qualify for the applicable discount. papers. This deadline has also expired.

124 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Polytechnic University, Brooklyn, New York April 8-10, 1994 First Announcement

The eight hundred and ninety-second meeting of the American There will also be sessions for contributed ten-minute Mathematical Society (AMS) will be held at Polytechnic papers. The deadline for submission of abstracts for these University, Brooklyn, New York, on Friday, Saturday, and sessions has expired. Unfortunately, late papers cannot be Sunday, April8-10, 1994. accommodated. Accommodations Invited Addresses Rooms have been blocked in the following hotels. Participants David Bayer, Columbia University, title to be announced. should make their own arrangements with the hotel of their Peter B. Kronheimer, Merton College, Embedded sur­ choice. The AMS is not responsible for rate changes faces in 4-manifolds. or the quality of the accommodations offered by these Debasis Mitra, AT&T Bell Labs, title to be announced. hotels/motels. The deadline for reservations is March 17, Nicholai Reshetikhin, University of California, Berkeley, 1994. title to be announced. Barbizon Hotel: 140 East 63rd St., New York, NY 10021. Special Sessions Telephone: 800-223-1020 or 212-838-5700 (within New York Computational geometry, Boris Aronov, Polytechnic Univer­ only). Single $90 and double $95 (with queen bed $110). sity. Mathematical problems in molecular biology, Craig J. Pickwick Arms: 230 East 51st St., New York, NY 10022. Benham, Mt. Sinai Medical Center. Telephone: 212-355-0300. Single $60 and double $80. Invariants oflow dimensional manifolds, Joan S. Birman, Council Columbia University; Sylvain E. Cappell, NYU Courant The Council of the Society will meet on Saturday, April 9, Institute; and Edward Miller, Polytechnic University. 1994, at the Barbizon Hotel, located at 140 East 63rd Street at Geometric analysis, Jozef Dodziuk and Edgar A. Feld­ Lexington Avenue, New York, New York 10021. man, Graduate School and University Center, CUNY. Combinatorial group theory and related topics, Benjamin Open Forum Fine, Fairfield University; Anthony M. Gaglione, United The AMS Committee on the Profession (CoProf) (M. Salah States Naval Academy; and Kathryn Kuiken, Polytechnic Baouendi, chair) will host an open forum on Saturday University. afternoon, April 9, on issues related to the employment of Teichmiiller theory and dynamical systems, Frederick P. mathematicians. The main purpose of the forum is to foster Gardiner and Yunping Jiang, Brooklyn College, CUNY. dialog and seek input from the community of mathematical Analytic number theory, Dorian Goldfeld, Columbia scientists on the role that the AMS can take in improving University. employment opportunities. Meeting participants will be given Geometric convexity, Jacob E. Goodman and Erwin the opportunity to speak and are urged to provide written Lutwak, Polytechnic University. testimony to support CoProf's efforts in this area. Additional Topological methods; topological measure theory, Pao­ information on submission of written contributions and on sheng Hsu, University of Maine, Orono, and L. Narisi, St. participation in the CoProf Forum, is included in the News Johns University. and Announcements section of this issue of the Notices. Partial differential equations, Yanyan Li, Rutgers Uni­ versity. Other Events of Interest Discrete geometry, Janos Pach, New York University, Raoul Bott, Harvard University, will present the Magnus and William Steiger, Rutgers University. Lectures on Thursday, April 7, and Friday, April 8, at 4:00 Mathematical methods in plasma physics, Kurt S. Riedel, p.m. NYU Courant Institute. Registration Gauge theory and applications, Robert J. Sibner, Brook­ The registration fees are $30 for members of the AMS; $45 lyn College, CUNY. for nonmembers; and $10 for emeritus members, students, Models in telecommunications, Alan A. Weiss, AT&T or unemployed mathematicians. There will also be a special Bell Labs. one-day registration fee of $20. The deadline for submission of abstracts for consideration in any of these sessions has expired.

FEBRUARY 1994, VOLUME 41, NUMBER 2 125 Invited Addresses, Special Sessions, and Contributed Papers

Invited Addresses at AMS Meetings June 1994 Meeting in Eugene, Oregon The individuals listed below have accepted invitations to Western Section address the Society at the times and places indicated. For Associate Secretary: Lance W. Small Deadline for organizers: Expired some meetings the list of speakers is incomplete. For full Deadline for consideration: March 14, 1994 announcements or programs of meetings occurring prior Frank W. Anderson and Kent R. Fuller, Rings and their to the first meeting listed below see the table of contents representations in this issue. Invited addresses at Sectional Meetings are Steven A. Bleiler, 3-manifolds selected by the Section Program Committee, usually twelve to Frank R. Demeyer and Thomas M. McKenzie, Commutative eighteen months in advance of a meeting. Members wishing algebra and probability groups to nominate candidates for invited addresses should send Paul G. Goerss and Stephen A. Mitchell, Algebraic K-theory relevant information to the associate secretary for the section and homotopy who will forward it to the Section Program Committee. Chris Phillips, Simple C*-algebras Robby Robson, Undergraduate research Eugene, OR, June 1994 Stephen A. Mitchell Gustavo A. Ponce August 1994 Meeting in Minneapolis, Minnesota Associate Secretary: Lesley M. Sibner Deadline for organizers: Expired Deadline for consideration: April 26, 1994 Minneapolis, MN, August 1994 Thomas Drucker, History of mathematical logic and theoreti­ George E. Andrews Carole B. Lacampagne cal computer science (History of Mathematics (AMS-MAA) Dennis M. Roseman, Computer graphics as a research tool Lecture) Pierre Louis Lions in geometry and topology Todd J. Arbogast (Progress Lecturer) (AMS-MAA) Cameron Gordon October 1994 Meeting in Stillwater, Oklahoma Central Section (AMS-MAA) Associate Secretary: Andy R. Magid Deadline for organizers: Expired Deadline for consideration: July 13, 1994 Stillwater, OK, October 1994 Ara S. Basmajian and Robert R. Miner, Complex hyperbolic V. Lakshmibai David J. Wright geometry and discrete groups David E. Marker Joel Zinn Edward T. Cline, Representations of algebraic groups Brian Conrey and William D. Duke, Number theory Bruce C. Crauder and Zhenbo Qin, Algebraic geometry Richmond, VA, November 1994 Edward G. Dunne and Roger C. Zierau, Geometry and Loren D. Pitt Doron Zeilberger representations ofLie groups Cora S. Sadosky Alan R. Elcrat, Fluid dynamics Benny D. Evans, The evolving undergraduate mathematics curriculum Hartford, CT, March 1995 Vladimir Ezhov and Alan V. Noell, Several complex variables Ben F. Logan Karl Vilonen Jerry A. Johnson, Technology in the classroom Nina N. Uraltseva Shouwu Zhang Mark W. McConnell, Arithmetic groups and topology Phillip E. Parker, Geometry and geodesics

Organizers and Topics of Special Sessions November 1994 Meeting in Richmond, Virginia Southeastern Section The list below contains all the information about special Associate Secretary: Robert J. Daverman sessions at meetings of the Society available at the time this Deadline for organizers: February 11, 1994 issue of the Notices went to the printer. Deadline for consideration: July 13, 1994

126 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY . ,...... ' ~·· ...... ! Meetings

Paul S. Bourdon and William T. Ross, Operator on Banach April1996 Meeting in Baton Rouge, Louisiana spaces of analytic functions Southeastern Section Associate Secretary: Robert J. Daverman Deadline for organizers: July 19, 1995 Deadline for consideration: To be announced January 1995 Meeting in San Francisco, California Associate Secretary: Andy R. Magid Deadline for organizers: April 2, 1994 January 1997 Meeting in San Diego, California Deadline for consideration: September 9, 1994 Associate Secretary: Lesley M. Sibner Deadline for organizers: April 8, 1996 Deadline for consideration: To be announced March 1995 Meeting in Hartford, Connecticut Eastern Section Information for Organizers Associate Secretary: Lesley M. Sibner Potential organizers should refer to the January issue of the Deadline for organizers: June 3, 1994 Notices for guidelines on organizing a session. Proposals for Deadline for consideration: To be announced any of the meetings mentioned in the preceding section should be sent to the cognizant associate secretary by the deadline indicated. No special sessions can be approved too late to March 1995 Meeting in Orlando, Florida provide adequate advance notice to members who wish to Southeastern Section Associate Secretary: Robert J. Daverman participate. Deadline for organizers: June 17, 1994 Deadline for consideration: To be announced Western Section Robert C. Brigham and Richard P. Vitray, Combinatorics and Lance W. Small, Associate Secretary graph theory Department of Mathematics John R. Cannon, Inverse and ill-posed problems University of California, San Diego S. Roy Choudhury, Nonlinear dynamical systems, chaos, and La Jolla, CA 92093 turbulence E-mail: g_small@math. ams. org Telephone: 619-534-3590 S. Roy Choudhury and Lokenath Debnath, Solitons and Central Section nonlinear waves R. Xin Li and Ram N. Mohapatra, Approximation theory and Andy Magid, Associate Secretary Department of Mathematics special functions University of Oklahoma Piotr Mikusinski, New trends in generalized functions 601 Elm PHSC 423 Ahmed I. Zayed, Sampling theory, wavelets, and signal Norman, OK 73019 processing E-mail: [email protected]. ams. org Telephone: 405-325-6711 Eastern Section March 1995 Meeting in Chicago, Illinois Lesley M. Sibner, Associate Secretary Central Section Department of Mathematics Associate Secretary: Andy R. Magid Polytechnic University Deadline for organizers: June 24, 1994 Brooklyn, NY 11201-2990 Deadline for consideration: To be announced E-mail: g_sibner@math. ams. org Telephone: 718-260-3505 Southeastern Section November 1995 Meeting in Kent, Ohio Robert J. Daverman, Associate Secretary Central Section Department of Mathematics Associate Secretary: Andy R. Magid University of Tennessee Deadline for organizers: February 4, 1995 Knoxville, TN 37996-1300 Deadline for consideration: To be announced E-mail: [email protected]. ams. org Telephone: 615-974-6577

January 1996 Meeting in Orlando, Florida Associate Secretary: Lance W. Small Other Information Deadline for organizers: April 12, 1995 General information for speakers and full instructions for Deadline for consideration: To be announced submitting abstracts, as well as information on site selection for Sectional Meetings, can be found in the January issue of the Notices. March 1996 Meeting in Iowa City, Iowa Central Section Associate Secretary: Andy R. Magid Deadline for organizers: June 22, 1995 Deadline for consideration: To be announced Daniel D. Anderson, Commutative ring theory

FEBRUARY 1994, VOLUME 41, NUMBER 2 127 Joint Summer Research Conferences in the Mathematical Sciences Mount Holyoke College, South Hadley, Massachusetts, June 11-July 15, 1994

The 1994 Joint Summer Research Conferences in the Math­ Please type or print the following: ematical Sciences will be held at Mount Holyoke College, 1. Title and dates of conference desired. South Hadley, Massachusetts, from June 11-July 15. It is 2. Full name. anticipated that the series of conferences will be supported 3. Mailing address. by grants from the National Science Foundation and other 4. Telephone number and area code for office and home, agencies. e-mail address, fax number. There will be six conferences in six different areas of 5. A short paragraph describing your scientific background mathematics. The topics and organizers for the conferences relevant to the topic of the conference. Also indicate if were selected by the AMS, the Institute of Mathematical you are a graduate or undergraduate student, or if you Statistics (IMS), and the Society for Industrial and Applied received your Ph.D. on or after 7/1/88. Mathematics (SIAM) Committee on Joint Summer Research 6. Financial assistance requested; please estimate cost of Conferences in the Mathematical Sciences. The selections travel. were based on suggestions made by the members of the 7. · Indicate if support is not required and if interested in committee and individuals submitting proposals. The com­ attending even if support is not offered. mittee considered it important that the conferences represent diverse areas of mathematical activity, with emphasis on The deadline for receipt of requests for information is areas currently especially active, and paid careful attention to March 4, 1994. Requests to attend will be forwarded to the subjects in which there is important interdisciplinary activity Organizing Committee for each conference for consideration at present. after the deadline of March 4. All applicants will receive The Joint Summer Research Conferences are intended to a formal invitation, Brochure of Information, notification of complement the Society's program of annual Summer Insti­ financial assistance, and a tentative scientific program (if tutes and Summer Seminars, which have a larger attendance the chair has prepared one in advance; otherwise, programs and are substantially broader in scope. The conferences are will be distributed at on-site registration) from the AMS by research conferences and are not intended to provide an entree May 1. Funds available for these conferences are limited and to a field in which a participant has not already worked. individuals who can obtain support from other sources should It is expected that funding will be available for a limited do so. The allocation of grant funds is administered by the number of participants in each conference. Others, in addition AMS office, and the logistical planning for the conferences to those funded, will be welcome, within the limitations is also done by the AMS. However, it is the responsibility of of the facilities of the campus. In the spring a brochure the chair of the Organizing Committee of each conference to of information will be mailed to all who are requesting to determine the amount of support participants will be awarded. attend the conferences. The brochure will include information This decision is not made by the AMS. Women and minorities on room and board rates, the residence and dining hall are encouraged to apply and participate in these conferences. facilities, travel, local information, and a Residence Housing Any questions concerning the scientific portion of the Form to request on-campus accommodations. Information on conference should be directed to the chair or any member of off-campus housing will also be included in the brochure. the Organizing Committee. Participants will be responsible for making their own housing The Joint Summer Research Conferences in the Mathemat­ and travel arrangements. Each participant will be required to ical Sciences are under the direction of the AMS-IMS-SIAM pay a conference fee. Committee on Joint Summer Research Conferences in the Those interested in attending one of the conferences should Mathematical Sciences. The following committee members send the following information to the Summer Research chose the topics for the 1994 conferences: Fan R. K. Chung, Conference Coordinator, Conferences Department, American Leonard Evens, Alan F. Karr, Peter W. K. Li, Bart Ng, Stew­ Mathematical Society, Post Office Box 6887, Providence, RI art B. Priddy, Robert J. Serfling, Michael Shub, William E. 02940; fax: 40 1-455-4004; e-mail: chh@math. ams . org. Strawderman, and Sue Whitesides.

N.B. Lectures begin on Sunday morning and run through Thursday. Check in for housing begins on Saturday. No lectures are held on Saturday.

128 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Meetings

Please refer to theNovember issue of theNotices for complete Saturday, June 25, to Friday, July 1 descriptions. Markov chain Monte Carlo methods ALAN GELFAND (University of Connecticut), chair Saturday, June 11, to Friday, June 17 Continuous algorithms and complexity Saturday, July 2, to Friday, July 8 J. F. TRAUB (Columbia University), co-chair Periodicity and structured homology theories in homotopy J. RENEGAR (Cornell University), co-chair theory PAUL G. GoERSS (University of Washington), co-chair Saturday, June 18, to Friday, June 24 HAL SADOFSKY (Johns Hopkins University), co-chair PAUL L. SHICK (John Carroll University), co-chair Moonshine, the monster, and related topics GEOFFREY MASON (University of California, Santa Cruz), chair Saturday, July 9, to Friday, July 15 CHONGYING DONG (University of California, Santa Cruz), Bergman spaces and the operators that act on them co-chair STEPHEN D. FISHER (Northwestern University), co-chair JoHN McKAY (Concordia University), co-chair SHELDON AXLER (Michigan State University), co-chair PETER L. DUREN (University of Michigan), co-chair Saturday, June 25, to Friday, July 1 Multidimensional complex dynamics ERIC D. BEDFORD (Indiana University), co-chair JoHN-ERIK FoRNJESS (University of Michigan, Ann Arbor), co-chair

UNIVERSITY LECTURE SERIES Group Characters, Symmetric Functions, and the Heeke Algebra David Goldschmidt Volume 4

The book is made up of lecture notes from a course taught by Goldschmidt at the University of California at Berkeley in 1989. The course was organized in three parts. Part I covers, among other things, Burnside's Theorem that groups of order paqb are solvable, Frobenius's Theorem on the existence of Frobenius kernels, and Brauer's characterization of characters. Part II covers the classical character theory of the symmetric group and includes an algorithm for computing the character table of S"; a construction of the Specht modules; the "determinant form" for the irreducible characters; the hook-length formula of Frame, Robinson, and Thrall; and the Murnaghan-Nakayama formula. Part III covers the ordinary representation theory of the Heeke algebra, the construction of the two-variable Jones polynomial, and a derivation of Ocneanu's "weights" due to T. A. Springer.

1991 Mathematics Subject Classification: 20, 57 ISBN 0-8218-7003-3, 73 pages (softcover), June 1993 Individual member $42, List price $70, Institutional member $56 To order, please specify ULECT/4NA

All prices subject to change. Free shipment by surface: for air delivery, please add $6.50 per title. Prepayment required. Order from: American Mathematical Society. P.O. Box 5904, Boston, MA 02206-5904, or call toll-free 800-321-4AMS (321-4267) in the U.S. and Canada to charge with VISA or MasterCard. Residents of Canada, please include 7% GST.

FEBRUARY 1994, VOLUME 41, NUMBER 2 129 1994 Summer Seminar in Applied Mathematics

Dynamical systems and probabilistic methods for nonlinear waves Mathematical Sciences Research Institute, Berkeley, California, June 20-July 1

The twenty-fourth AMS-SIAM Summer Seminar in Applied results in the equilibrium statistical mechanics of solitons, in Mathematics will be held June 20-July 1, 1994, at the Math­ the advection of a passive scalar via a random velocity field, ematical Sciences Research Institute in Berkeley, California. in nonequilibrium statistical theories of both weak and strong The seminar will be sponsored by the American Mathematical turbulence, and in stochastic pde's such as the randomly forced Society, the Mathematical Sciences Research Institute, and Burgers and nonlinear Schroedinger equations. Controlled the Society for Industrial and Applied Mathematics. It is numerical studies are beginning to appear which investigate anticipated that the seminar will be partially supported by the coexistence of random and nonlinear effects in waves, and grants from federal agencies. The proceedings of the seminar which test the predictions of the more heuristic turbulence will be published by the American Mathematical Society in theories. These theories and numerical studies directly impact the Lectures in Applied Mathematics series. our knowledge of wind-driven waves in the ocean, of chaotic Nonlinear waves provide a rich source of phenomena and turbulent behavior in plasmas, of the long-distance which are important to both mathematics and science. Sci­ propagation of laser pulses in nonlinear fibers, and of idealized entifically, these include disturbances in the atmosphere and models of proteins and DNA, for example. the oceans, the propagation of laser light in nonlinear optics, This research area, bringing probabilistic and dynamical and waves in plasmas and fluids. Mathematically, nonlinear systems methods to bear on pde's, is very broad. Advances wave theory has unveiled the soliton: one of the most im­ require that modem mathematical theories, together with portant discoveries in nonlinear partial differential equations computational and visualization methods, be developed and (pde's) during the last twenty-five years. In addition, results applied to appropriate and relevant scientific problems. Prob­ in nonlinear wave theory include rigorous descriptions of the abilistic and dynamical methods pose important technical scattering of localized solitary waves, detailed descriptions of problems in pde theory and unveil fascinating new phenom­ the development of singularities for nonlinear pde's, a thor­ ena. They constitute an important general area to expose to ough understanding of dissipative and dispersive mechanisms researchers who are just initiating their own programs. for the regularization of these singularities, and numerical The organizing committee consists of Percy Deift, observations (with theoretical interpretation) of temporally Courant Institute for the Mathematical Sciences, New York chaotic behavior in nonlinear dissipative waves. University; Philip Holmes (co-chair), Cornell University; From a mathematical perspective, many recent results James M. Hyman, Los Alamos National Laboratories; about nonlinear waves belong to a relatively new area­ C. David Levermore, University of Arizona; David W. infinite dimensional dynamical systems theory for pde's. McLaughlin (co-chair), Princeton University; Y. Sinai, Soliton equations are completely integrable Hamiltonian sys­ Princeton University; and C. Eugene Wayne, Pennsylva­ nia State University. tems in infinite dimensions. The stability and scattering of Expository series of lectures will be given by senior solitary waves naturally admit dynamical systems interpreta­ researchers including Peter S. Constantin, Walter L. Craig, tions which play a central role in their resolution. The same Percy Deift, Charles Doering, Hermann Flaschka, Nancy J. can be said of the description of the development and be­ Kopell, Dave Levermore, David W. McLaughlin, Alexander havior of singularities for nonlinear Schroedinger equations. Mielke, Gene Wayne, and Steve Wiggins. Dynamical systems theory is central to any study of chaotic dispersive waves. Those interested in attending the seminar should send However, from a scientific perspective, these successes the following information before March 15, 1994, to AMS­ have been restricted to relatively simple situations involving SIAM Summer Seminar Conference Coordinator, American one, a very few, or a regular array of solitary waves. To Mathematical Society, P.O. Box 6887, Providence, R.I. 02940; · address issues of greater scientific relevance and complexity, e-mail: dls©math. ams . org. Please type or print the following: it is likely that probabilistic methods for nonlinear pde's 1. Full name and mailing address; are required. Nonlinear waves are beginning to provide an 2. Telephone number and area code for office and home; excellent testing ground for these methods. Natural questions 3. E-mail address if available; concern the interaction of many solitary waves (coherent 4. Anticipated arrival and departure dates; structures) with each other and with a random environment 5. Your scientific background relevant to the topic of the which itself could be fixed or evolving. seminar; please indicate if you are a student or if you More specifically, the organizers note recent mathematical received your Ph.D. on or after 7 /1/88;

130 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Meetings

6. Financial assistance requested (please estimate cost of to apply for a grant-in-aid should so indicate; however, funds travel); indicate if support is not required and if interested available for the seminar are very limited, and individuals who in attending even if support is not offered. can obtain support from other sources should do so. Graduate students who have completed at least one year of graduate Special encouragement is extended to junior scientists to school are encouraged to participate. apply. A special pool of funds expected from federal agencies has been earmarked for this group. Other participants who wish

American Mathematical Society Translations, Series 2

Ordered Sets and Lattices II Volume 152

This indispensable reference source contains a wealth of information on lattice theory. The book presents a survey of virtually everything published in the fields of partially ordered sets, semilattices, lattices, and Boolean algebras that was reviewed in Referativnyf Zhurnal Matematika from mid-1982 to the end of 1985. Of interest to mathematicians, as well as to philosophers and computer scientists in certain areas, this unique compendium is a must for any mathematical library.

1991 Mathematics Subject Classification: 06; 03, 08 ISBN 0-8218-7501-9, 247 pages (hardcover), November 1992 Individual member $77, List price $128, Institutional member $102 To order, please specify TRANS2/152NA Singularity Theory and Some Problems of Functional Analysis Volume 153 S. G. Gindikin, Editor

The papers in this volume include reviews of established areas as well as presentations of recent results in singularity theory. The authors have paid special attention to examples and discussion of results rather than burying the ideas in formalism, notation, and technical details. The aim is to introduce all mathematicians-as well as physicists, engineers, and other consumers of singularity theory-to the world of ideas and methods in this burgeoning area.

1991 Mathematics Subject Classification: 40, 51, 57, 58, 92; 12, 19, 28, 32, 35, 49, 60 ISBN 0-8218-7502-7, 199 pages (hardcover), November 1992 Individual member $61, List price $101, Institutional member $81 To order, please specify TRANS2/153NA $-a-~< All prices subject to change. Free shipment by surface: for air delivery, please add $6.50 per title. Prepayment required. Order from: Ji(~~E";'& American Mathematical Society, P.O. Box 5904, Boston, MA 02206-5904, or call toll free 800-321-4AMS (321-4267) ~~ ~ '}, j in the U.S. and Canada to charge with VISA or MasterCard. Residents of Canada, please include 7% GST. ·~~ ,.~~· IINDED '

FEBRUARY 1994, VOLUME 41, NUMBER 2 131 Symposium on Quantization and Nonlinear Wave Equations Massachusetts Institute of Technology, Cambridge, Massachusetts June 7-11, 1994

With the support of a fund established by Dr. and Mrs. Carroll University of Pennsylvania; Richard Schoen, Stanford Uni­ V. Newsom in honor of the memory of John von Neumann and versity; Irving Segal, Massachusetts Institute of Technology; anticipated support from the National Science Foundation, a Walter Strauss, Brown University; Michelle Vergne, Cen­ symposium on Quantization and nonlinear wave equations tre de Recherche Scientifique; Arthur Wightman, Princeton will take place at the Massachusetts Institute of Technology, University; and Zhengfang Zhou, Michigan State University. Cambridge, Massachusetts, from Tuesday through Saturday, A list of prospective panel discussion leaders includes June 7-11, 1994. Victor Guillemin, Massachusetts Institute of Technology; The topic was selected by the AMS Committee on Summer Cathleen S. Morawetz, Courant Institute of Mathematical Institutes and Special Symposia, whose members at the time Sciences; P. L. Lions, University of Paris; and David Vogan, of selection were William Browder, Princeton University; Massachusetts Institute of Technology. Donald L. Burkholder, University of Illinois; Lawrence Craig One afternoon will be free of scheduled talks in order Evans, University of California, Berkeley; Melvin Hochster, to facilitate ad hoc scientific discussions or visits to sites of University of Michigan; Nicholas Katz, Princeton University; general interest in the greater Boston area. Brian Parshall (chair), University of Virginia; Jean-Francais Accommodations will be in MIT dormitories located on Treves, Rutgers University; and Edward Witten, Institute the Charles River a short walk from the meeting area. Rooms for Advanced Study. Proceedings will be published by the of several sizes and types will be available, both with and American Mathematical Society. without a meal plan. MIT is conveniently reached by subway The Organizing Committee for the symposium includes or taxi from the rail terminus, South Station, or Logan Airport William Arveson, University of California, Berkeley; Robert in a matter of minutes. MIT adjoins Kendall Square, which Blattner, University of California, Los Angeles; Haim is well supplied with hotels and restaurants. The meeting Brezis, Rutgers University and University of Paris (co-chair); area will be close to the Institute Science Library and nearby Thomas Branson, University of Iowa; and Irving Segal, discussion/seminar rooms will be available. Massachusetts Institute of Technology (co-chair). In the spring a brochure of information will be mailed to The symposium will review, report recent progress in, all who are requesting to attend the symposium. The brochure and survey possible future directions in the field of physical will include information on room and board rates, the res­ mathematics that was at the heart of von Neumann's moti­ idence and dining hall facilities, travel, local information, vation and some of his most seminal contributions. Session and a Residence Housing Form to request on-campus ac­ topics include the global theory of classical nonlinear wave commodations. Information on off-campus housing will also equations and its differential geometric and general relativistic be included in the brochure. Participants will be responsible aspects; the mathematical theory of quantum fields and its for making their own housing and travel arrangements. It is algebraic and constructive aspects; operator algebra, groups expected that funding will be available for a limited number of automorphisms, and new directions in quantum mechanics; of participants. Limited support is expected to be available for and symplectic quantization and group representations. graduate students. A social fee of $15 will be required. A Ust of prospective speakers includes William Arveson, Those interested in attending the symposium should send University of California, Berkeley; Robert Blattner, Univer­ the following information to the Symposium Conference Co­ sity of California, Los Angeles; Thomas Branson, University ordinator, Meetings and Conferences Department, American of Iowa; Haim Brezis, Rutgers University and University Mathematical Society, Post Office Box 6887, Providence, RI of Paris; Yvonne Choquet-Bruhat, University of Paris; Alain 02940; fax: 401-455-4004; e-mail: wsd@math. ams. org. Cannes, College de France and Institute des Hautes Etudes Please type or print the following: Scientifiques; Ludwig Faddeev, Steklov Mathematical Insti­ 1. Full name. tute; Charles Fefferman, Princeton University; Jurg Frohlich, 2. Mailing address. Eidgenosse Technische Hochschule; Izrail Gelfand, Rutgers 3. Telephone number and area code for office and home, University; Leonard Gross, Cornell University; Roger Howe, e-mail address, fax number. Yale University; Arthur Jaffe, Harvard University; Palle Jor­ 4. A short paragraph describing your scientific background gensen, University of Iowa; Sergiu Klainerman, Princeton relevant to the topic of the conference. University; David Kazhdan, Harvard University; Peter Lax, 5. Financial assistance requested; please estimate cost of Courant Institute of Mathematical Sciences; Robert Power, travel.

132 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Meetings

6. Indicate if support is not required and if interested in available for the symposium are limited, and individuals who attending even if support is not offered. can obtain support from other sources should do so. The 7. Indicate if graduate student, undergraduate student, or allocation of grant funds is administered by the AMS office, Ph.D. received on or after 711/88. and. the logistical planning for the conferences is also done by the AMS. However, it is the responsibility of the co-chairs The deadline for receipt of requests for information is March 1, 1994. Requests to attend will be forwarded of the Organizing Committee to determine the amount of to the Organizing Committee for consideration after the support participants will be awarded. Women and minorities deadline of March 1. All applicants will receive a formal are encouraged to apply and participate in this symposium. Any questions concerning the scientific portion of the invitation, Brochure of Information, notification of financial symposium should be directed to Irving Segal, MIT, Room assistance, and a tentative scientific program (if the co-chairs 2-244, Cambridge, MA 02139; telephone: 617-253-4985; have prepared one in advance; otherwise, programs will be e-mail: ies@math. mit . edu. distributed on-site) from the AMS by May 1, 1994. Funds

TRANSLATIONS OF MATHEMATICAL MONOGRAPHS

Functions on Manifolds Algebraic and Topological Aspects V. V. Sharko Volume 131

This monograph covers in a unified manner new results on smooth functions on manifolds. A major topic is Morse and Batt functions with a minimal number of singularities on manifolds of dimension greater than five. Sharko computes obstructions to deformation of one Morse function into another on a simply connected manifold. In addition, a method is developed for constructing minimal chain complexes and homotopical systems in the sense of Whitehead. This leads to conditions under which Morse functions on non-simply-connected manifolds exist. Sharko also describes new homotopical invariants of manifolds, which are used to substantially improve the Morse inequalities. The conditions guaranteeing the existence of minimal round Morse functions are discussed.

1991 Mathematics Subject Classification: 57, 58 ISBN 0-8218-4578-0, 193 pages (hardcover), November 1993 Individual member $59, List price $98, Institutional member $78 To order, please specify MMON0/131NA ......

All prices subject to change. Free shipment by surface: for air delivery, please add $6.50 per title. Prepaymellf required. Order from: American Mathematical Society, P.O. Box 5904, Boston, MA 02206-5904, or call toll free 800-321-4AMS (321-4267) in the U.S. and Canada to charge with VISA or MasterCard. Residents of Canada, please include 7% GST.

FEBRUARY 1994, VOLUME 41, NUMBER 2 133 Summer Meeting of the Canadian Mathematical Society June 11-13, 1994 Tentative Program

The Canadian Mathematical Society (CMS) and the University Batten (Manitoba), Charles J. Colbourn (Waterloo), Reinhart of Alberta cordially invite mathematicians to the 1994 Summer Diestel (Germany), Luis A. Goddyn (Simon Fraser), Penny Meeting of the Society. The entire program will take place in Haxell (Waterloo), Joan P. Hutchinson (Macalester College), the Central Academic Building of the University of Alberta Maria M. Klawe (UBC), Cheryl Praeger. in Edmonton, the capital of Alberta, from Saturday, June 11, Differential geometrical aspects of PDEs, organized by to Monday, June 13, 1994. Niky Kamran, McGill University; Saturday, Sunday, and Monday mornings and afternoons. Ian M. Anderson (Utah Plenary Speakers State), G. Bluman (UBC), Robert B. Gardner (North Car­ Donald A. Dawson, Carleton University, Stochastic partial olina), J. Hamad (Concordia), Jacques C. Hurtubise (McGill), differential equations and measure-valued processes, Sunday, M. Kossowski (South Carolina), Fran~ois Lalonde (UQAM), 1:30p.m.; M. Legare (Alberta), Peter J. Olver, Juha Pohjanpelto (Ore­ Ronald A. DeVore, University of South Carolina, Colum­ gon State), David L. Rod (Calgary), William F. Shadwick bia, Multivariate approximation theory: Where are we now?, (Waterloo). Saturday, 1:30 p.m.; Nigel Higson, Pennsylvania State University, C*-algebras, Education Program K-theory, and group representations, Saturday, 9:00a.m.; The Mathematics Education Session is being organized by Peter J. Olver, University of Minnesota, Minneapolis, Alvin Baragar, University of Alberta, and features the plenary Differential invariants, Sunday, 9:00a.m.; lecture by Roger Palmer on Saturday at 8:00p.m. The talk Roger Palmer, Alberta Education, The transition from will be preceded by a barbecue; details may be found in the high school to university, Saturday, 8:00p.m.; and Social Events section below. Cheryl Praeger, University of Western Australia, Block­ The session also will include a panel discussion scheduled transitive designs, Monday, 9:00 a.m. for Sunday morning.

Jeffery-Williams Lecturer The Jeffery-Williams Lecture will be given by Donald A. Contributed Papers Dawson and is scheduled on Sunday from 1:30 p.m. to 2:30 Contributed papers of fifteen minutes' duration are invited. p.m. Abstracts should be prepared as specified below. To be eligible to present a contributed paper, all abstracts and registration Symposia fees must be received in Ottawa before March 15, 1994. Symposia in four domains will take place with session orga­ Most of the papers to be presented at the four symposia will nizers, tentative schedules, and invited speakers as follows: be by invitation. However, anyone contributing an abstract Multivariate approximation theory, organized by Sher­ for the meeting who feels that his or her paper would be man D. Riemenschneider and Rong-Qing Jia, University of particularly appropriate for one of these symposia should Alberta; Saturday afternoon, Sunday and Monday mornings indicate this clearly on the abstract form and submit it by and afternoons. Peter B. Borwein (Simon Fraser), Len Bos February 15, 1994 in order that it be considered for inclusion. (Calgary), Charles K. Chui (Texas A&M), Carl de Boor Those who use the 1}3X typesetting system may submit (Wisconsin), Ronald A. DeVore, Wolfgang Dahmen (RWTH­ their abstracts by e-mail. Files should include the speaker's Aachen), Zeev Ditzian (Alberta), Serge Dubuc (Montreal), name, affiliation, complete address, title of talk, and the Nira Dyn (Tel Aviv), Walter J. Whiteley (York). abstract itself. Files may be sent to the abstracts coordinator, The uses of K-theory in operator algebras, organized by [email protected]. John Phillips, University of Victoria; Saturday and Sunday Others should prepare their abstract using the standard mornings and afternoons. Bruce E. Blackadar (Nevada), CMS form available from the CMS Office in Ottawa or in Marius Dadarlat (Purdue), George Elliot (Toronto), David the January/February CMS Notes. Abstracts should be sent Handelman (Ottawa), Nigel Higson, Huaxin Lin (SUNY­ to the Abstracts Coordinator, CMS Executive Office, 577 Buffalo), Mikael Rordam (Odense), Hongbin Su (Swansea). King Edward, Suite 109, P. 0. Box 450, Station A, Ottawa, Combinatorics, organized by Katherine Heinrich, Simon Ontario, Canada KIN 6N5 so as to arrive by the contributed Fraser University; Saturday, Sunday, and Monday mornings papers' deadline of March 15, 1994 or February 15, 1994 and afternoons. Helene Barcelo (Arizona State), Lynn M. (see above).

134 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY ...... ! ...... - ...... ························································-···- Meetings

Social Events Accommodations All delegates are invited to a cash bar welcoming reception Blocks of rooms have been reserved at two hotels and at the scheduled on Friday evening from 7:00 p.m. to 9:00 p.m. university residences. The following rates are in effect (in during evening registration in the Banquet Room on the Canadian dollars): second floor of Lister Hall Residence. The Howard Johnson Plaza Hotel: telephone: 403- A banquet will be held at the Empire Ballroom of Hotel 423-2450 (collect); fax: 403-425-1783 or 403-426-6090; Macdonald in downtown Edmonton and is scheduled for single/double is $60. Sunday, June 12, at 7:30p.m. Delegates are invited to meet The Campus Tower Hotel: telephone: 403-439-6060 or at the cash bar which will be open from 6:30p.m. to 7:30 800-661-6562; fax: 403-492-7032; one bedroom is $65, two p.m. Tickets are available for CDN$40 each, including all bedrooms are $110 (limited number available). taxes and gratuities, and are included in most registration fee The Lister Hall (University Residence): telephone: 403- categories. The entree is stuffed cornish game hen with grand 492-5123; fax: 403-492-7032; single is $24; twin is $34; all mamier glaze; kosher or vegetarian meals are available upon rates include continental breakfast. advance request. Delegates are asked to make their own arrangements by May A barbecue is being organized in connection with the 13, 1994, by telephone or by using the reservation reply form Education Session and is scheduled for Saturday, June 1, included in the January/February CMS Notes. at 6:30 p.m. at the Quadrangle. Tickets are CDN$16 each, including taxes and gratuity. Please note that this event is not Travel included in any of the registration fee categories and must Edmonton International Airport (403-890-8322) is located be purchased by all delegates. The entree is sirloin steak or south of the city and is accessible via Highway 2. Airport chicken or ribs; kosher, vegetarian, or other special diet meals bus and taxi services are available. Edmonton Municipal are available upon advance request. Airport (403-492-6641) is located at the northwest edge of During the meeting you are invited to have complimentary the downtown core and is served by taxis and city buses. coffee and chat with colleagues during the scheduled morning Air Canada and Continental Airlines have been named the and afternoon breaks. official air carriers. In North America call 1-800-361-7585 directly for Air Canada. Any licensed travel agent may also Preregistration book an Air Canada flight; instruct the agent to enter event Payment for preregistration may be made by check, VISA, number CV940404 in the tour code box and reference code or MasterCard. Although preregistration fees are given in CMS in the endorsement box. Canadian dollars, delegates may send checks in U.S. dollars by contacting their financial institution for the current exchange Acknowledgments rate. A preregistration form is included in the January/February The Scientific Program Committee wishes to extend its thanks CMS Notes or may be requested from the CMS Executive to the Natural Sciences and Engineering Research Council Office at the address above or by telephone: 613-564-2223 or (NSERC) for its generous support of the symposia. Other fax: 613-565-1539. grants have been received from the University of Alberta. The CMS also wishes to acknowledge the contribution Registration Fees of the following committees in presenting these exciting (in Canadian dollars) scientific, educational, and social programs. We also thank Before After those at the host department who have taken time from their April15 April 15 regular duties to help out. *CMS/AMS/MAA Scientific Programme Committee: Katherine Heinrich members with grants $140 $170 (Simon Fraser); Rong-Qing Jia (Alberta); Niky Kamran *CMS/AMS/MAA (McGill); John Phillips (Victoria); Sherman Riemenschnei­ members without grants 90 105 der (Alberta); Keith Taylor (Saskatchewan), chair; Nicole *Nonmembers with grants 190 235 Tomczak-Jaegermann (Alberta), ex officio; Graham P. Wright *Nonmembers without (Ottawa), ex officio. grants 115 140 Education Session: Alvin Baragar (Alberta). Teachers, students, postdocs, Local Arrangements Committee: Monique L. Bouchard, retired, unemployed, or (CMS), ex officio; Laurent Marcoux (Alberta); Rene Poliquin Education Session only 35 45 (Alberta); Henry Van Roessel (Alberta); Mazi Shirvani (Al­ One-day fee 35 45 berta), chair. *Includes banquet on Sunday night at 7:30p.m. Plenary speakers, prize lecturers, and invited special session speakers should register using the special registration form available from the chair of the Scientific Programme Committee or from a session organizer.

FEBRUARY 1994, VOLUME 41, NUMBER 2 135 Mathematical Sciences (computer science and proof theory); J. Baumgartner, J.-Y. Girard, H. Hodes, J. Knight, S. Shapiro, R. Soare, S. Thomas, Meetings and Conferences and L. van den Dries. INFORMATION: M. Lerman, Math Dept., U. of Connecticut, Storrs, CT 06269-3009; e-mail: mlerman@uconnvm. uconn. edu.

THIS SECTION contains announcements of meetings and conferences of interest to some 6-12. Mathematische Stochastik, Oberwol­ segment of the mathematical public, including ad hoc, local, or regional meetings, and fach, Federal Republic of Germany. (Mar. meetings or symposia devoted to specialized topics, as well as announcements of regularly 1993, p. 286) scheduled meetings of national or international mathematical organizations. A complete listing * 7-11. Geometrie Algebrique en Liberte, of meetings of the Society, and of meetings sponsored by the Society, will be found inside the front cover. CIRM, Marseille, France. AN ANNOUNCEMENT will be published in the Notices if it contains a call for papers ORGANIZER: L. Koelblen (U. Paris 6). and specifies the place, date, subject (when applicable), and the speakers; a second INFORMATION: A. Zeller-Meier, Centre In­ announcement will be published only if there are changes or necessary additional information. ternational de Recontres Mathematiques, Once an announcement has appeared, the event will be briefly noted in each issue until it has been held and a reference will be given in parentheses to the month, year, and page of the Case916, 70,RouteLeon-LaChamp, 13288 issue in which the complete information appeared. Asterisks (*) mark those announcements Marseille Cedex 9; tel: 91.83.30.02. containing new or revised information. IN GENERAL, announcements of meetings and conferences held in North America carry 7-11. Twenty-fifth Southeastern Interna­ only date, title of meeting, place of meeting, names of speakers (or sometimes a general tional Conference on Combinatorics, Graph statement on the program), deadlines for abstracts or contributed papers, and source of Theory, and Computing, Florida Atlantic further information. Meetings held outside the North American area may carry more detailed University, Boca Raton, FL. (Sep. 1993, p. 924) information. In any case, if there is any application deadline with respect to pa~icipation in 7-25. Workshop on Fluid Mechanics, Inter­ the meeting, this fact should be noted. All communications on meetings and conferences in national Centre for Theoretical Physics, Trieste, the mathematical sciences should be sent to the Editor of the Notices, care of the American Mathematical Society in Providence, or electronically to notices@math. ams. org. Italy. (Jul./Aug. 1993, p. 711) DEADLINES for entries in this section are listed on the inside front cover of each issue. In 13-17. The UAB-Georgia Tech Interna­ order to allow participants to arrange their travel plans, organizers of meetings are urged tional Conference on Differential Equations to submit information for these listings early enough to allow them to appear in more than and Mathematical Physics, Birmingham, AL. one issue of the Notices prior to the meeting in question. To achieve this, listings should be (Oct. 1993, p. 1085) received in Providence SIX MONTHS prior to the scheduled date of the meeting. EFFECTIVE with the 1990 volume of the Notices, the complete list of Mathematical Sciences 13-19. Elementare und Analytische Zahlen­ Meetings and Conferences will be published only in the September issue. In all other issues, theorie, Oberwolfach, Federal Republic of only meetings and conferences for the twelve-month period following the month of that issue Germany. (Mar. 1993, p. 286) will appear. As new information is received for meetings and conferences that will occur later 16-19. Prospects in Topology: A Conference than the twelve-month period, it will be announced at the end of the listing in the next possible on the Occasion of William Browder's 60th issue. That information will not be repeated until the date of the meeting or conference falls Birthday, Princeton University, Princeton, NJ. within the twelve-month period. (Dec. 1993, p. 1445) 17-19. Seminar on Stochastic Processes 1994, Texas A&M University, College Station, Applications, University of Minnesota, Min­ 1JC.(Sep. 1993,p.925) neapolis, MN. (Jan. 1993, p. 64) 1994 * 17-19. Workshop on Basic Phenomena in 28-March 4. Workshop on Algebraic K­ Plasticity, Carnegie Mellon U., Pittsburgh, PA. 1994-1995. Mittag-Leffler Institute's Aca­ theory and Arithmetic, The Fields Institute, demic Program for 1994-1995: Statistical Waterloo, Ontario. (Nov. 1993, p. 1253) PRoGRAM: The principle goal of this work­ Mechanics and Stochastic Analysis, Mittag­ shop is the interdisciplinary discussion of Leffler Institute, Djursholm, Sweden. (Dec. basic phenomena that arise in plasticity, 1993, p. 1444) with emphasis placed on physical back­ March 1994 ground, formulation of mathematical mod­ 4-5. First Permian Basin Conference in els, and the current state of knowledge Algebra and Number Theory, The University about these models. Phenomena included February 1994 of Texas of the Permian Basin, Odessa, TX. will cover both high and low strain-rates, 18-23. Section A (Mathematics) Sessions at (Dec. 1993,p. 1445) as well as those occuring at the length the AAAS Annual Meeting, San Francisco, 5-6. A Celebration of Women in Math­ scales of polycrystalline continua, single CA. (Sep. 1993, p. 924) ematics, MIT, Cambridge, MA. (Jan. 1994, crystals, slip systems based on discrete p. 51) crystallographic surfaces, or atomic assem­ 20-26. Harmonische Analyse und Darstel­ blies with moving defects. Invited speakers *5-8: 1993-1994 ASL Annual Meeting, U. of lungstheorie Topologischer Gruppen, Ober­ will lecture on topics of general interest Florida, Gainesville, FL. wolfach, Federal Republic of Germany. (Mar. in plasticity. In place of contributed pa­ 1993, p. 286) INVITED SPEAKERS: D.A. Martin (GOdel pers, a significant amount of time will 27-March 5. Mathematical Economics, Lecture); C. Parsons (Retiring Presidential be made available for discussions among Oberwolfach, Federal Republic of Germany. Address); A. Blass, M. Foreman, M. Ko­ participants. (Mar. 1993, p. 286) jman, E. Schimmerling, and S.Todorcevic INFORMATION: F. Johnson, Center for Non­ 28-March 4. IMA Workshop on Stochastic (special sessions in set theory); M.L. Bonet, linear Analysis, Department of Mathe­ Networks, Institute for Mathematics and its R. Jagadeesan, G. Nadathur, andN. Shankar matics, Carnegie Mellon University, Pitts-

136 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Meetings and Conferences

burgh, PA 15213; tel: 412-268-3554. Equations, Louisiana State University, Baton Study of Nonlinear Materials, Fayetteville, Rouge, LA. (Jan. 1994, p. 51) Arkansas. (Sep. 1993, p. 925) 17-20. Joint Workshop on Computational 22-24. The Rhine Workshop on Computer Aspects of Geometric Group Theory II, DI­ Algebra, Karlsruhe, Germany. (Sep. 1993, MACS, Rutgers University, New Brunswick, p. 925) NJ. (Dec. 1993, p. 1445) April1994 24-26. Fourth Eugene Lukacs Symposium, 18-19. Southeastern Section, University of Bowling Green State University, Bowling 3-9. Arbeitsgemeinschaft Mit Aktuellem Kentucky, Lexington, KY. Green, OH. (Oct. 1993, p. 1085) Thema (wird in den Mitteilungen der DMV INFORMATION: W. Drady, AMS, P.O. Box 24-27. Joint 1994 Annual Spring Topology Heft 1/1994 Bekanntgegeben), Oberwolfach, 6887, Providence, RI 02940. Conference and Southeast Dynamical Sys­ Federal Republic of Germany. (Mar. 1993, tems Conference, Auburn University, Auburn, p.286) * 18-19. Mathematics for the 21st Century, AL. (Nov. 1993, p. 1254) 4-10. Colorado Conference on Iterative Ohio State University, Columbus, OH. 25-26. Central Section, Kansas State Univer­ Methods, Breckenridge, CO. (Nov. 1993, PROGRAM: The program will consist of sity, Manhattan, KS. p. 1254) six plenary lectures in diverse fields by 5-7. First Annual Meeting of the Saudi INFORMATION: W. Drady, AMS, P.O. Box distinguished speakers to inaugurate the Association for Mathematical Sciences, King 6887, Providence, RI 02940. new Ohio State University mathematics Saud University, Riyadh, Saudi Arabia. (Jan. tower. 25-26. Southeastern-Atlantic Section of 1994,p.51) INVITED SPEAKERS: J. Coates, C. Feffer­ SIAM, Wake Forest University, Winston­ * 5-8. Workshop on Proof Theory, Complex­ man, M. Gromov, L. Lovasz, A. Majda, K. Salem, NC. (Dec. 1993, p. 1446) ity, Metamathematics, University of Technol­ Uhlenbeck. * 25-26. Tenth Annual Pacific Coast Gravity ogy, Vienna, Austria. INFORMATION: E-mail: conference@ Meeting (PCGM), Oregon State University, math.ohio-state.edu. PRoGRAM: The workshop will try to ex­ Corvallis, OR. plore the area between proof theory, com­ * 20-24. International Conference on Proof PRoGRAM: PCGM 10 is an informal meeting putational complexity, and metamathemat­ Theory, Provability Logic, and Computa­ on all topics related to general relativity and ics. Particular fields of interest include tion, U. of Berne, Switzerland. gravitation. There will be no plenary talks, complexity of logics, theories, and proof systems; proof search; proof theory of PRoGRAM: PPC provides a platform for but instead many short contributed talks. first-order systems and logics. in particu­ the presentation of recent results in the All participants are invited to contribute lar classical, modal, temporal, and linear areas of proof theory, provability logic, and informal talks on their current research. logics; proof theoretic and metamathemat­ computation where these are interrelated. Postdocs and students are particularly en­ ical investigations of first-order theories, CONFERENCE TOPICS: Applications of proof couraged to attend. in particular arithmetic and its subsystems; theory to theoretical computer science, new ORGANIZERS: T. Dray, J. Isenberg, C. bounded arithmetic. developments in provability logic related Manogue, K. Thorne, B. Zimmerman. INVITED SPEAKERS: A. Avron, Tel Aviv; to computer science, and new challenges CALL FOR PAPERS: Abstracts of contributed M. Baaz, Vienna; A. Berarducci, Pisa; A. from computer science for proof theory and talks should be submitted by March 14; late Carbone, Paris; V. Danos, Paris; E. Eder, provability logic. abstracts will be considered if possible. Salzburg; L. Egidi, Torino; G. Faglia, Mi­ INVITED SPEAKERS: L. Beklemishev, D. de INFORMATION: T. Dray, Dept. of Math., lano; G. Gottlob, Vienna; P. Hajek, Prague; Jongh, W. Buchholz, F. Montagna, S. Buss, Oregon State U., Corvallis, OR 97331; e­ J.-P. Joinet, Paris; J. Krajicek, Prague; A. R.F. Stark, R. Constable, A.S. Troelstra, mail (preferred): tevian@math. orst . edu. Leitsch, Vienna; V. Orevkov, St. Peters­ and P. Hajek. 25-27. Third Annual Boise Extravaganza in burg; M. Parigot, Paris; P. Pudlak, Prague; INFORMATION: PPC '94, Institut fur Infor­ Set Theory (BEST) Conference, Boise State P. Wojtylak, Katowice. matik und, angewandte Mathematik, Uni­ University, Boise, Idaho. (Dec. 1993, p. 1446) INFORMATION: Kurt Goedel Society, Insti­ versitat Bern, Langgassstrasse 51, CH- tut fuer Computersprachen E185/2, Tech­ 3012 Bern; fax: +41-31-65-39-65; e-mail: 27-April 2. Algebraische Gruppen, Ober­ nische Universitaet Wien, Resselgasse 3/1, [email protected]. wolfach, Federal Republic of Germany. (Mar. 1993, p. 286) A-1040 Vienna, Austria; tel.: (+43 I) 588 20-26. Regelungstheorie, Oberwolfach, Fed­ 27-April 2. Endliche Modelltheorie, Ober­ 01, ext. 4088; fax: (+43 1) 504 1589; eral Republic of Germany. (Mar. 1993, p. 286) wolfach, Federal Republic of Germany. (Mar. e-mail: zach@logic. tuwien. ac. at. 21-24. IMA Period of Concentration: 1993, p. 286) 5-9. MEGA-94, The Third International Stochastic Problems for Nonlinear Partial 28-30. Moduli Spaces, Galois Represen­ Symposium on Effective Methods in Differential Equations, Institute for Mathe­ tations, and L-functions, Research Institute Algebraic Geometry, Santander, Spain. (Jul./ matics and its Applications, University of Min­ for Mathematical Sciences, Kyoto University, Aug. 1993, p. 711) nesota, Minneapolis, MN. (Dec. 1993, p. 1446) Kyoto, Japan. (Jul./Aug. 1993, p. 711) 5-11. Effective Methods in Algebraic Ge­ 21-25. Symplectic Geometry of Moduli 28-30. Conference on Semigroup Theory ometry (MEGA '93), Santander, Spain. (Mar. Spaces, CIRM, Marseille/Luminy. (Sep. 1993, and Its Applications in Memory of Alfred 1993,p.286) p. 925) H. Clifford, Tulane University, New Orleans, 5-15. Instructional Conference on Har­ 21-25. L-functions Conference, Fields Insti­ LA. (Dec. 1993, p. 1446) monic Analysis and Partial Differential tute, Waterloo, Ontario. (Nov. 1993, p. 1254) 28-31. Twenty-fifth Annual Iranian Mathe­ Equations, International Centre for Mathemat­ 21-25. International Conference on Com­ matics Conference, Sharif University of Tech­ ical Sciences, Edinburgh, Scotland. (Jul./Aug. putational Methods and Function Theory nology, Tehran, Iran. (Jul./Aug. 1993, p. 711) 1993, p. 711) '94, Penang, Malaysia. (Dec. 1993, p. 1446) 29-31. Data Compression Conference (DCC * 7-8. The First Magnus Lectures. Courant 21-25. Fourth Workshop and Miniconfer­ '94), Snowbird, Utah. (Dec. 1993, p. 1446) Institute of Mathematical Sciences (NYU) and ence on Operator Theory and Evolution 31-April2. Mathematical Approaches to the Polytechnic University, NY.

FEBRUARY 1994, VOLUME 41, NUMBER 2 137 ---·-······-·--·····-·--·--·------·------·-·------·-·-----·----·------·-----~,.--~~---~~41llil!?~. -······--·-·········-·-·····-···--···- ·······-··-······-··---·-····-··········-···········--·- ···········-·-··········-····-·---··········-·············-·-···-·-··· ~~:;;;::::!!~ Meetings and Conferences

TITLES OF TALKS: DeRham theory: a retro­ ences, National Research Council, NAS Marseille Cedex 9; tel: 91.83.30.02. spective on the integral geometry of knots. 315, 2101 Constitution Ave., NW, Wash­ INVITED SPEAKER: R. Bott, Harvard Uni­ ington, DC 20418-0001; tel: 202-334-2421; 26. Second Annual Workshop on 110 Paral­ versity. fax: 202-334-1597; e-mail: bms@nas. edu. lel Computer Systems (to be held in conjunc­ INFORMATION: K. Kuiken (Magnus Lec­ tion with the International Parallel Process­ tures), Polytechnic Univ., Six Metrotech 15-16. Stochastic Systems and Their Appli­ ing Symposium-IPPS '94), Cancun, Mexico. Center, Brooklyn, NY 11201; 718-260- cations: A Conference in Honor of Harold (Dec. 1993,p. 1447) 3850; fax: 718-260-3136; e-mail: kkuiken@ J. Kushner, Newport, RI. (Jan. 1994, p. 52) 26-30. International Conference on Logic vm. poly. edu. 17-22. International Conference on New and Algebra Dedicated to Roberto Magari Trends in Computer Science I (NETCOMS on his 60th Birthday, Pontignano (Siena), 7-9. 1994 John H. Barrett Memorial Lec­ 1), University of lbadan, Nigeria. (Please note Italy. (Jan. 1994, p. 52) tures on Zero-Dimensional Commutative datechangefromNov.1992,p. 1121) 29-May I. Fourth Midwest Geometry Con­ Rings, University of Tennessee, Knoxville, 17-23. Designs and Codes, Oberwolfach, ference, University of Iowa, Iowa City, lA. TN.ONo~ 1993,p. 1254) Federal Republic of Germany. (Mar. 1993, (Jan. 1994, p. 52) 8-9. Mathematical Breakthroughs in the p. 286) Twentieth Century, The State University of 18-20. Conference on Emerging Issues in New York at Farmingdale, NY. (Jul./Aug. 1993, Mathematics and Computation from the May 1994 p. 712) Materials Sciences, Pittsburgh, PA. (Sep. 8-9. Illinois Number Theory Conference, 1993,p.925) 1-7. Gruppentheorie, Oberwolfach, Federal University of lllinois, Urbana, IL. (Dec. 1993, * 19-21. International Symposium on Theo­ Republic of Germany. (Mar. 1993, p. 286) p. 1447) retical Aspects of Computer Software (TACS 1-7. Linear Operators and Application, 8-10. Eastern Section, Polytechnic Univer­ '94), Tohoku U., Sendai, Japan. Oberwolfach, Federal Republic of Germany. sity, Brooklyn, NY. (Jul./Aug. 1993, p. 712) PRoGRAM: Topics will include: logic, proof, 2-4. Hard Problems in Mathematical Physics: INFORMATION: W. Drady, AMS, P.O. Box specification, and semantics of programs A Meeting to Celebrate the Sixtieth Birth­ 6887, Providence, RI 02940. and languages; theories and models of day of Paul Federbush, Ann Arbor, MI. (Dec. concurrency; constructive logic, category 1993,p. 1447) 9-10. Ninth Union College Conference theory, and type theory; software specifica­ on Category Theory, Algebraic Topology, tion, manipulation, and verification. 2-6. IMA Workshop on Image Models (and and Set-theoretic Topology, Union College, INVITED SPEAKERS: S. Abramsky, M. Fel­ Their Speech Model Cousins), Institute for Schenectady, NY. (Jan. 1994, p. 52) leisen, P. Kanellakis, M. Takahashi, M. Mathematics and its Applications, University 10-16. Numerical Linear Algebra with Vardi, and A. Yonezawa. of Minnesota, Minneapolis, MN. (Jan. 1993, Applications, Oberwolfach, Federal Republic INFORMATION: By e-mail: tacs94@ p. 64) of Germany. (Mar. 1993, p. 286) ito. ecei. tohoku. ac. jp, and the full 2-6. International Conference on Topolog­ 11-15. Simulation for Emergency Manage­ text of the announcement is available ical Vector· Spaces, Algebras, and Related ment, La Jolla, CA. (Dec. 1993, p. 1447) by anonymous ftp from Areas, McMaster University, Hamilton, On­ tario, Canada. (Mar. 1993, p. 286) 11-15. Workshop on L-functions and Auto­ theory.stanford.edu morphic Forms, The Fields Institute, Water­ in the directory pub/ j em. * 2--6. Variete et Controle, CIRM, Marseille, France. loo, Ontario, Canada. (Jan. 1994, p. 52) 22-24. North East Dynamics Meeting, State 11-22. Spring School and Workshop on University of New York, Stony Brook, NY. ORGANIZERS: J.P. Aubin, H. Frankowska String Theory, Gauge Theory, and Quantum (Dec. 1993,p. 1447) (U. Paris-Dauphine). INFORMATION: A. Zeller-Meier, Centre In­ Gravity, Trieste, Italy. (Jan. 1994, p. 52) 24-27. The Second Annual Object-Oriented ternational de Recontres Mathematiques, * 12. 1994 Science and Technology Sym­ Numerics Conference, OON-SKI '94, Sun­ Case 916,70, RouteLeon-LaChamp, 13288 posium "Motion, Control, and Geometry", river, Oregon. (Jan. 1994, p. 52) Marseille Cedex 9; tel: 91.83.30.02. Washington, DC. 24-28. First World Congress on Compu­ PRoGRAM: The symposium focuses on con­ tational Medicine and Public Health, Uni­ 2--6. Wavelet Analysis as a Tool for Ge­ trol theory as a fundamental aspect of versity of Texas Center for High Performance ometric Synthesis and Analysis, University motion generation in many emerging areas. Computing, Austin, TX. (Nov. 1993, p. 1255) of Minnesota, Minneapolis, MN. ONov. 1993, Those areas include microsurgery (for ex­ 24-30. Geschichte der Mathematik, Ober­ p. 1255) ample, involving microrobots or "snakes" wolfach, Federal Republic of Germany. (Mar. 2-6. Conference on Massively Parallel Com­ capable of locomotion in confined spaces 1993, p. 286) puting Systems (MPCS): the Challenges such as an intestinal tract), spacecraft posi­ 25-29. Third International Conference on p­ of General-Purpose and Special-Purpose tioning, biological and robotic movement, adic Functional Analysis, Clermont-Ferrand, Computing, Ischia, Italy. (Jan. 1994, p. 52) motor miniaturization, and motion engi­ France. (Sep. 1993, p. 925) 3-10. Spring College on Quantum Phases, neering (for instance, via coupled-oscillator 25-30. Points Paraboliques et Leur De­ Trieste, Italy. (Jan. 1994, p. 53) pattern generation). * ploiement en Dynamique Reelle, Complexe 3-14. The Fourth International School INVITim SPEAKERS: S. Winograd (ffiM Cor­ et en groupes Kleiniens, CIRM, Marseille, on Differential Equations: Bifurcations and poration), Opening Remarks, and A. Fried­ France. Chaos, Katsiveli, Crimea, Ukraine. (Sep. 1993, man (lnst. for Mathematics and its Appli­ p. 926) cations), Moderator. Speakers: J. Marsden ORGANIZERS: A. Douady, P. Sentenac (U. 5-7. Thirty-second annual Cornell Topology (UC Berkeley), R. Brockett (Harvard U.), Paris-Sud). * Festival, Cornell U., Ithaca, NY. R. Murray (CA Inst. of Technology), and INFORMATION: A. Zeller-Meier, Centre In­ P. Krishnaprasad (U. of Maryland). ternational de Recontres Mathematiques, PRoGRAM: This year the Festival will center INFORMATION: Board on Mathematical Sci- Case916, 70,RouteLeon-LaChamp, 13288 on the areas of geometric group theory

138 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Meetings and Conferences

and topology of manifolds. There will be chastic Models, Oberwolfach, Federal Repub­ * 23-31. Recent Mathematical Methods in seven or eight 60-minute lectures and much lic of Germany. (Mar. 1993, p. 286) Nonlinear Wave Propagation, Villa La Quer­ opportunity for stimulating conversation. * 16-19. Theorie de I'Elimination, CIRM, ceta, Montecatini Terme (PT). INFORMATION: Topology Festival Commit­ Marseille, France. SCIENTIFIC COORDINATORS: T. Ruggeri (U. tee, Dept. of Math., Cornell U., Ithaca, NY di Bologna) and T.P. Liu (Stanford U.). 14853;[email protected]. ORGANIZER: M. Chardin (Ecole Polytech­ nique). INVITED SPEAKERS: G. Boillat (U. de 5-8. MER Network Workshop, University INFORMATION: A. Zeller-Meier, Centre In­ Clermont-Ferrand), P. Colella (U.C. Berke­ of Texas at Austin, Austin, Texas. ternational de Recontres Mathematiques, ley), P. Lax (NYU), and T.P. Liu (Stanford Case 916, 70, Route Leon-LaChamp, 13288 U.). INFORMATION: W. Drady, AMS, P.O. Box Marseille Cedex 9; tel: 91.83.30.02. INFORMATION: CIME, c/o Dipartimento di 6887, Providence, Rl 02940. Matematica "U. Dini," viale Morgagni 16-20. IMA Workshop on Stochastic Mod­ 67/A, 50134 Firenze, Italy; tel. and fax: * 6-7. 1994 ASL Spring Meeting, Kansas City. els in Geosystems, Institute for Mathematics +39-55-434975;[email protected]. PROGRAM: There will be a joint ASL/APA and its Applications, University of Minnesota, Symposium on Category Theory in Logic Minneapolis, MN. (Jan. 1993, p. 64) 24-27. Conference on Hermann G. Gra8- Foundations of Mathematics. 16-20. Geometrie Algebrique, CIRM. Mar­ mann (1809-1877), Isle of Rugen, Germany. INVITED SPEAKERS: W.F. Lawvere, P. Freyd, seille, France. (Jan. 1993, p. 64) (September 1992, p. 775) and V. Pratt. * 16-26. NATO-Advanced Study Institute 24-28. International Workshop on Math­ CALL FOR PAPERS: Abstracts of contributed on the Recent Developments in Approxi­ ematical Methods and Tools in Computer papers from ASL members should be sent mation Theory, Wavelets, and Applications, Simulation, St. Petersburg State University, by March 1, 1994, to the address below. Maratea, Italy. St. Petersburg, Russia. (Jan. 1994, p. 53) INFORMATION: C. McLarty, Dept. of Philos­ 24-28. First International Conference on ophy, Case Western Reserve U., Cleveland, INVITED SPEAKERS: Cheney, Chui, Deutsch, Difference Equations and Applications, Trin­ OH 44106; e-mail: cxm7@po. cwru. edu. Micchelli. ity University, San Antonio, TX. (Dec. 1993, INFORMATION: S.P. Singh, Dept. of Math­ p. 1448) 8-14. Variationsrechnung, Oberwolfach, ematics, Memorial University, St. John's, Federal Republic of Germany. (Mar. 1993, NF, Canada, A1C 5S7; tel: 709-737-8795; 25-28. Second Conference on Function p. 286) fax: 709-737-3010; e-mail: spsingh@ Spaces, Southern Illinois University at Ed­ wardsville, Illinois. (Sep. 1993, p. 926) 9-13. Algorithme et Programmation, Mar­ kean. ucs. mun. ca. Partial financial sup­ 26-27. Sixteenth Symposium on Mathemat­ seille, France. (Jan. 1994, p. 53) port is available. ical Programming with Data Perturbations, INFORMATION: A. Zeller-Meier, Centre In­ 16-27. Workshop on Commutative Alge­ George Washington University, Washington, ternational de Recontres Mathematiques, bra and its Relation to Combinatorics and DC. (Jan. 1994, p. 53) Case916, 70,RouteUon-LaChamp, 13288 Computer Algebra, International Centre for 26-28. Spatial Stochastic Models in Biol­ Marseille Cedex 9; tel: 91.83.30.02. Theoretical Physics, Trieste, Italy. (Jul./Aug. ogy, The University of Colorado at Colorado 1993, p. 712) Springs. (Nov. 1993. p. 1256) * 12-14. Colloquium Logicum-Logic in 20-22. Wavelets and Fractals, University of 26-29. ICANN '94-International Confer­ Mathematics, Philosophy, and Informatics, Pittsburgh, Pittsburgh, PA. (Dec. 1993, p. 1448) Berlin, Germany. ence on Artificial Neural Networks, Sorrento 22-24. Conference in Honor of E. Dynkin, Congress Center, near Naples, Italy. (Jul./Aug. ORGANIZERS: German Union for Mathe­ MSI, Ithaca, NY. (Jul./Aug. 1993, p. 712) 1993, p. 712) matical Logic and Foundational Research * 22-25. 24th International Symposium for 29-June 3. International Conference on (DVMLG) and logicians from the Hum­ Multiple-Valued Logic, Boston, MA. Real and Complex Algebraic Geometry, boldt U. of Berlin. INFORMATION: D. Simovici, U. of Mass. Soesterberg, The Netherlands. (Jul./Aug. 1993, INFORMATION: H. Wolter, Humboldt Uni­ p. 712) versitat, F.B Mathematik, PSF 1297, 10099 at Boston, Dept. of Math. and Com­ Berlin, Germany; e-mail: hwol ter@ puter Science, Boston, MA 02125; e-mail: 29-June 4. Singulare Storungsrechnung, mathematik. hu-berlin. de. [email protected]. Oberwolfach, Federal Republic of Germany. (Mar. 1993, p. 287) 22-27. Nonlinear Analysis, Function Spaces, * 13-14. London Mathematical Society Ring 29-June 4. Spring School on Potential The­ and Applications, V, Prague, Czech Republic. Theory and Representation Theory Meeting, ory and Analysis, Paseky, Czech Republic. (Sep. 1993, p. 926) University of Leeds, England. (Dec. 1993,p. 1448) 22-28. Diskrete Geometrie, Oberwolfach, 30-June 3. Equations aux Derivees Partielles INVITED SPEAKERS: M. Artin, W.W. Crawley­ Federal Republic of Germany. (Mar. 1993, * Stochastiques. CIRM, Marseille, France. Boevy, M. Holland, L.W. Small, C. Ringel, p. 287) T. Stafford. 23-25. Twenty-sixth Symposium on Theory ORGANIZERS: G. Da Prato (Pise), D. Nu­ INFORMATION: Organizers, J.C. McConnell of Computing (STOC), Montreal, Canada. alart (Barcelone). E. Pardoux (U. d'Aix­ and C. Robson, School of Mathematics, (September 1993, p. 926) Marseille 1). University of Leeds, Leeds LS2 9JT; tel.: 23-25. The 1994 Scalable High Perfor­ INFORMATION: A. Zeller-Meier, Centre In­ 532-335144; electronic mail: pmt6jcr@ ternational de Recontres Mathematiques, cmsl.leeds.ac.uk. mance Computing Conference, SHPCC94, Knoxville, TN. (Nov. 1993, p. 1255) Case916, 70,RouteLeon-LaChamp. 13288 Marseille Cedex 9; tel: 91.83.30.02. 14-18. International Congress Henri Poin­ 23-27. Elliptic and Parabolic Methods in care, Archives-Centre d'Etudes et de Re­ Geometry, University of Minnesota, Min­ 30-June 3. On the Interaction between Func­ cherche Henri-Poincare, Nancy, France. neapolis, MN. (Nov. 1993, p. 1255) tional Analysis, Harmonic Analysis, and (Jul./Aug. 1993, p. 712) 23-27. Geometrie Algebrique, Marseille, Probability, University ofMissouri-Columbia, 15-21. Critical Phenomena in Spatial Sto- France. (Jan. 1994, p. 53) Columbia, MO. (Jul./Aug. 1993, p. 713)

FEBRUARY 1994, VOLUME 41, NUMBER 2 139 Meetings and Conferences

30-June 3. International Congress on Women * 8-10. Canadian Society for the History and Summer 1994. Summer Regional Centers­ Mathematicians, Moscow, Russia. (Jan.1994, Philosophy of Mathematics, Calgary, Alberta. TRANSIT, Ohio State University, Columbus, p. 54) OH. (Oct. 1992, p. 951) PROGRAM: There will be a special session 30-June 4. Problemes en Homotopie Ra­ on the History of Mathematics in North 13-17. IMA Workshop on Classical & tionelle, Marseille, France. (Jan. 1994, p. 54) America (since 1700). Modern Branching Processes, Institute for 30-June 9. Workshop on Group Represen­ INFORMATION: C. Fraser, Institute for the Mathematics and its Applications, University tation Theory, Technion, Israel Institute of History and Philosophy of Science and of Minnesota, Minneapolis, MN. (Jan. 1993, Technology, Haifa, Israel. (Dec. 1992, p. 1284) Technology, Victoria College, University p. 64) 31-June 3. IMA Minisymposium on Phase of Toronto, Toronto, Ontario M5S 1K7, 13-18. Thirty Years after Sharkovskii's Transitions in Catalytic Surface Reaction Canada; cfraser@epas. utoronto. ca. Theorem-New Perspectives, Murcia, Spain. Models, Institute for Mathematics and its Ap­ (Dec. 1993,p. 1449) plications, University of Minnesota, Minneapo­ 9-11. Sixth Lehigh University Geome­ 15-18. Fifth SIAM Conference on Applied lis, MN. (Jan. 1993, p. 64) tryffopology Conference, Bethlehem, PA (Jan. Linear Algebra, Snowbird, Utah. (Jan. 1994, 1994, p. 54) 31-June 3. Surfaces, Soap Bubbles, and p. 54) General Relativity, Frostburg State Univer­ 9-19. Constructivist Methods in Under­ 15-24. Canadian Mathematical Society An­ sity, Frostburg, MD. (Jan. 1994, p. 54) graduate Math Teaching: Abstract Algebra, nual Seminar. Representations of Groups: Purdue University, West Lafayette, IN. (Dec. Finite, Algebraic, Lie, and Quantum, Banff, 1993, p. 1449) Alberta, Canada. (Dec. 1993, p. 1449) 11-July 6. Joint Summer Research Confer­ 16-18. Western Section, University of Ore­ ences in the Mathematical Sciences, Mount gon, Eugene, Oregon. June 1994 Holyoke College, South Hadley, Mas­ sachusetts. (Dec. 1993, p. 1449) INFORMATION: W. Drady, AMS, P.O. Box 1-4. International Conference on Differen­ 6887, Providence, RI 02940. tial Equations and Applications to Biology 12-18. Nichtlinearitaten vom Hysteresis­ and to Industry, Harvey Mudd College, Clare­ typ, Oberwolfach, Federal Republic of Ger­ * 17-18. ConferenceinHonorofL.D.Berkovitz, mont, CA. (Dec. 1993, p. 1448) many. (Mar. 1993, p. 287) Purdue University, West Lafayette, IN. * 13-17. Advanced Topics in Applied Mathe­ 1-7. 1994 Barcelona Conference on Alge­ PRoGRAM: The purpose of the conference braic Topology, Sant Feliu de Guixols (near matics and Theoretical Physics, CIRM, Mar­ seille, France. is to survey, on the occasion of his 70th Barcelona, Spain). (Nov. 1993, p. 1256) birthday, L.D. Berkovitz's work in differen­ 2-19. Constructivist Methods in Under­ ORGANIZER: D. Testard (CPT, CNRS Mar­ tial games, control theory, and variational graduate Math Teaching: Calculus, Purdue seille). problems. University, West Lafayette, IN. (Dec. 1993, INFORMATION: A. Zeller-Meier, Centre In­ ORGANIZERS: H.T. Banks, W.J. Browning. p. 1448) ternational de Recontres Mathematiques, INVITED SPEAKERS: W.H. Fleming, Differ­ 3-4. Praha-Chemnitz-Torun Algebra Sym­ Case916, 70,RouteLeon-LaChamp, 13288 ential games; H.T. Banks, Control theory; posium, Charles University, Faculty of Math­ Marseille Cedex 9; tel: 91.83.30.02. W.J. Browning, Variational problems. ematics and Physics, Prague, Czech Republic. INFORMATION: H.T. Banks, 919-515-3928; (Jan. 1994, p. 54) * 13-18. International Conference on Logic W.J. Browning, 203-464-7259. Planning, Santa Margherita Ligure, Italy. 5-11. The Navier-Stokes Equations: The­ 18-19. IMS Workshop on Directions in INFORMATION: By e-mail: martelli@ ory and Numerical Methods, Oberwolfach, Sequential Analysis, Chapel Hill, NC. (Jan. disi. unige. it or pvh@cs. brown. edu. Germany. (Jul./Aug. 1993, p. 713) 1994, p. 55) 5-11. Workshop on Harmonic Analysis, Os­ 13-22. Dynamical Systems, Villa La Quer- * 19-21. Fourth International Workshop on cillatory Integrals, and Partial Differential * ceta, Montecatini Terme (PT). Meta-programming in Logic (META '94), Equations, International Centre for Mathemat­ Pisa, Italy. ical Sciences, Edinburgh, Scotland. (Jan. 1994, SCIENTIFIC COORDINATOR: R. Johnson (U. p. 54) di Firenze). CONFERENCE TOPICS: topics include: foun­ 6-10. Applied and Industrial Mathematics, INVITED SPEAKERS: L. Arnold (U. Bremen), dations of meta-programming; design and University of Linkoping, Linkoping, Sweden. C.R. Jones (Brown U., U. of Stuttgart), K. implementation of language facilities for (Nov. 1993, p. 1256) Mischaikow (Georgia LT.), and G. Raugel meta-programming; meta-programming for knowledge representation, meta­ 6-10. Formes Quadratiques et Groupes (U. Paris-Sud). programming, no-monotonic and modal Algebraiques Lineaires, Marseille, France. INFORMATION: CIME, c/o Dipartimento di logics; applications of meta-programming. (Jan. 1994, p. 54) Matematica "U. Dini," viale Morgagni 67/A, 50134 Firenze, Italy; tel. and fax: INFORMATION: meta94@di. unipi. i. 6-11. International Conference on Alge­ +39-55-434975;[email protected]. bra and Analysis in Commemoration of 19-25. Quantenmechanik von Vielteilchen the Centennial of the Birth of Eminent 13-14. The 1994 IEEE Workshop on Fault­ Systemen, Oberwolfach, Federal Republic of Russian Mathematician N.G. Chebotarev, Tolerant Parallel and Distributed Systems, Germany. (Mar. 1993, p. 287) Kazan, Tatarstan. (Dec. 1993, p. 1449) College Station, TX. (Jan. 1994, p. 54) 19-25. Integrable Systems from a Quantum 7-11. AMS Symposium in Research Mathe­ 13-17. Fifth International Conference on Point of View, Oberwolfach, Federal Republic matics on Quantization and Nonlinear Wave Hyperbolic Problems: Theory, Numerical of Germany. (Mar. 1993, p. 287) Equations, Massachusetts Institute ofTechnol­ Methods, and Applications, Stony Brook, 20-24. Probabilites Quantiques, CIRM, Mar­ ogy, Cambridge, MA. NY. (May/Jun. 1992, p. 497) seille, France. (Jan. 1993, p. 64) INFORMATION: W.S. Drady, American Math­ 13-17. European Conference on Elliptic 20-24. IMA Workshop on Mathematics in ematical Society, P.O. Box 6887, Provi­ and Parabolic Problems, Pont-a-Mousson, Manufacturing Logistics, Institute for Mathe­ dence, RI 02940. France. (May/Jun. 1993, p. 514) matics and its Applications, University of Min-

140 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Meetings and Conferences

nesota, Minneapolis, MN. (Sep. 1993, p. 927) Calculus, University of Michigan, Ann Arbor. Aided Geometric Design (CAGD), Penang, 20-24. Probabilites Quantiques, Marseille, (Jan. 1994, p. 55) Malaysia. (Jul./Aug. 1993, p. 713) France. (Jan. 1994, p. 55) * 24-27. Workshop on Wavelets, Filter Banks, 4-8. Thirty-eighth Annual Meeting of the and Applications, Wellesley, MA. Australian Mathematical Society, University INFORMATION: A. Zeller-Meier, Centre In­ of New England in Armidale, Australia. (Oct. ternational de Recontres Mathematiques, PRoGRAM: Digital filters, matrix analysis, 1993, p. 1087) Case916, 70,RouteUon-LaChamp, 13288 wavelet transform, compression, commu­ Marseille Cedex 9; tel: 91.83.30.02. nications, cosine modulated filter banks, * 4-12. Transcendental Methods in Algebraic biorthogonal wavelets, and perfect recon­ Geometry, Grand Hotel San Michele, Cetraro 20-25. Third World Congress of the Bernoulli struction. (CS). Society for Mathematical Statistics and INFORMATION: Gilbert Strang, Room 2-240 SCIENTIFIC COORDINATORS: F. Catanese (U. Probability and the 57th Annual Meeting MIT, Cambridge, MA 02139; tel: 617-253- di Pisa) and C. Ciliberto (U. di Roma Tor of the Institute of Mathematical Statistics, 4383; e-mail [email protected]. edu. Vergata). Chapel Hill, NC. (Dec. 1993, p. 1449) INVITED SPEAKERS: J.P. Demailly (lnst. 20-July 1. AMS-SIAM Summer Seminar 25-July 2. Symposium on Diophantine Prob­ lems in Honor of Wolfgang Schmidt's 60th Fourier, Grenoble), T. PeterneJI (U. Bay­ in Applied Mathematics on Dynamical Sys­ reuth), G. Tian (Courant Inst.), and A. tems and Probabilistic Methods for Nonlin­ Birthday, Boulder, Colorado. (May/Jun. 1993, p. 514) Tyurin (Steklov Inst., Moscow). ear Waves, Mathematical Sciences Research INFORMATION: CIME, c/o Dipartimento di Institute, Berkeley, CA. 26-July 2. Graphentheorie, Oberwolfach, Federal Republic of Germany. (Mar. 1993, Matematica "U. Dini," viale Morgagni INFORMATION: Donna Salter, American p. 287) 67/A, 50134 Firenze, Italy; tel. and fax: Mathematical Society, P.O. Box 6887, +39-55-434975; cime@vm. idg.fi. cnr. it. 26-July 2. Inverse Problems, Lake St. Wolf­ Providence, RI 02940. gang, Austria. (May/Jun. 1993, p. 514) 4-29. Miniworkshop on Quantum Phase 20-July 1. Miniworkshop on Submicron * 27-July I. Logique et Informatique, CIRM, Transitions, Trieste, Italy. (Jan. 1994, p. 55) Dynamics, Trieste, Italy. (Jan. 1994, p. 55) Marseille, France. 5-9. Twenty-fourth National Conference * 21-24. Conference on Computer-aided Ver- ORGANIZER: M.-R. Donadieu (U. Aix­ on Geometry and Topology (CNGT 24), ification, Stanford U., Stanford, CA. Marseille II). University of Tiini§oara, Romania. (Jul./Aug. 1993, p. 713) PRoGRAM: CAV is dedicated to the ad­ INFORMATION: A. Zeller-Meier, Centre In­ vancement of the theory and practice of ternational de Recontres Mathematiques, 5-22. Conference on Differential and Differ­ computer-assisted formal verification. Case916, 70,RouteUon-LaChamp, 13288 ence Equations and Recent Developments in CONFERENCE TOPICS: Application areas: Marseille Cedex 9; tel: 91.83.30.02. Population Biology, University of Wymning, Laramie, WY. (Nov. 1993, p. 1257) synchronous and asynchronous circuits, 27-July 2. Convex and Discrete Geometry, computer arithmetic, protocols, distributed Bydgoszcz, Poland. (Dec. 1993, p. 1450) 5-29. IMA Summer Program on Molecu­ algorithms, real-time systems, and hybrid lar Biology, Institute for Mathematics and its 28-July 1. Structure in Complexity Theory, systems. Methods based on: automata, Applications, University of Minnesota, Min­ Ninth Annual IEEE Conference, Amsterdam, model-checking, automated deduction. The­ neapolis, MN. (Apr. 1993, p. 415) The Netherlands. (Nov. 1993, p. 1256) oretical issues: decidability of verification * 9-14. Conference on Differential Geometry, problems and logics, computational com­ Katholieke Universiteit Leuven and Brussel plexity results, and verification algorithms. (Belgium). PRoGRAM CoMMITTEE: R. Alur, R. Bryant, July 1994 R. Brayton, R. Cleaveland, C. Courcou­ PROGRAM: The conference will coordinate betis, R. de Simone, A. Emerson, M. Fujita, 2-8. Fourth Conference of the Canadian three meetings on the following topics: Fu­ S. German, 0. Grumberg, N. Halbwachs, Number Theory Association, Dalhousie Uni­ ture Directions in Affine Differential Ge­ G. Holzmann, K. Larsen, K. McMillan, L. versity, Halifax, Nova Scotia, Canada. (Sep. ometry, General Theory of Submanifolds, Paulson, N. Shankar, F. Somenzi, B. Stef­ 1993,p.927) and Pure and Applied Differential Geom­ fen, P. Varaiya, P. Wolper, and T. Yoneda. 3-9. Analysis und Geometrie SinguUirer etry. These meetings will be dedicated to K. Noinizu's 70th birthday, which will be INFORMATION: Prog~am Chair D. Dill, CIS Raume, Oberwolfach, Federal Republic of 135, Stanford, CA 94305-4070; e-mail: Germany. (Apr. 1993, p. 415) celebrated on the first day, July 9. Lectures on his scientific work will be given by cav@cs. stanford. edu. 4-7. International Conference on Nonlin­ Peter Dombrowski (Universitat zu KOln) ear Dynamics and Pattern Formation in and Udo Simon (Technische Universitat 21-24. NASECODE X: The Tenth Interna­ the Natural Environment, Amsterdam, The Berlin). tional Conference on the Numerical Analy­ Netherlands. (Dec. 1993, p. 1450) sis of Semiconductor Devices and Integrated CALL FOR PAPERS: Authors are invited Circuits, Dublin, Ireland. (Jan. 1994, p. 55) 4-7. Ninth Annual IEEE Symposium on to submit a title and abstract for a short Logic in Computer Science, Paris, France. (20-Ininute) lecture on a topic in pure 22-25. Seventh SIAM Conference on Dis­ (Oct. 1993, p. 1087) crete Mathematics, Albuquerque, NM. (Sep. or applied differential geometry, in par­ 4-8. Arrangements d'Hyperplaus, CIRM, 1993, p. 927) * ticular on the geometry of submanifolds, Marseille, France. affine differential geometry, applications of 22-26. Eighteenth Symposium on Real ORGANIZER: M. Jambu (U. de Nantes). geometry in engineering (robotics, com­ Analysis, University ofVirginia, Charlottesville, puter vision, ... ). phychology (human vi­ VA. (Dec. 1993, p. 1450) INFORMATION: A. Zeller-Meier, Centre In­ ternational de Recontres Mathematiques, sion, ... ), medicine, .... 23-July 1. International Conference on Case916, 70,RouteUon-LaChamp, 13288 INFORMATION: F. Dillen, e-mail: fgaba01@ Abelian Groups and Modules, University of Marseille Cedex 9; tel: 91.83.30.02. cc1.kuleuven. ac. be, L. Verstraelen, Padova, Padova, Italy. (Dec. 1993, p. 1450) e-mail: fgaba06@cc1. kuleuven. ac. be, 24-25. Third Conference on the Teaching of 4-8. International Conference on Computer Katholieke Universiteit Leuven, Departe-

FEBRUARY 1994, VOLUME 41, NUMBER 2 141 Meetings and Conferences

ment Wiskunde, Celestijnenlaan 200 B, Case916, 70,RouteLeon-LaChamp, 13288 * 18-22. CIMNS International Colloquium B-3001 Leuven (Belgium). Marseille Cedex 9; tel: 91.83.30.02. on Nonstandard Mathematics in Memory of Abraham Robinson, Universities of Aveiro 10-16. Freie Randwertprobleme, Oberwol­ 11-15. Fourteenth IMACS World Congress and Beira Interior, Portugal. fach, Federal Republic of Germany. (Apr. 1993, on Computational and Applied Mathemat­ p. 415) ics, Georgia Institute of Technology, Atlanta, PRoGRAM: July 18-20: Courses on foun­ 10-16. Euroconference: Combinatorial Ge­ GA. (Oct. 1992, p. 951) dations, functional analysis and differential ometry, Anogeia, Crete, Greece. (Jan. 1994, 11-15. The First futernational Derive Con­ equations, analysis and measure theory, p. 56) ference, Plymouth, UK. (Dec. 1993, p. 1450) invited talks and contributed talks; July 21-22: Invited talks and contributed talks; * 10-20. Third Souslin Conference, Saratov, 11-22. SMS-NATO ASI: Topological Meth­ July 20 (afternoon): touristic travel between Russia. ods in Differential Equations and Inclusions, universities and special dinner. Universite de Montreal, Montreal, Canada. ORGANIZING COMMITTEE: A. F. Oliveira, PRoGRAM: The scientific program will con­ (Dec. 1993,p. 1451) sist of invited lectures and short contribu­ V. Neves, J.S. Pinto. tions, which will be selected from submit­ 12-15. Theoretical Models in Biological INVITED SPEAKERS: N.J. Cutland, R.F. Hos­ ted papers on the following topics: analysis, Systems, Trieste, Italy. (Jan. 1994, p. 56) kins, H. J. Keisler, T. Lindstrom, W.A.J. logic and foundations, nonstandard analy­ 14-18. LFCS'94: Logic at St. Petersburg, Luxemburg, M. Oberguggenberger, A. Robert, sis, computer science, general topology, a Symposium on Logical Foundations of K.D. Stroyan, and M. Diener. and set theory. Computer Science, St. Petersburg, Russia. CALL FOR PAPERS: A detailed abstract (not INFORMATION: V. Kanovei, e-mail: pank@ (Jul./Aug. 1993, p. 714) a full paper) should be received on or before compnet. msu. su; or from the local or­ * 16-21. Fifth International Conference on May 31, 1994, at the address below. ganizer, V. Molchanov, Souslin Founda­ Logic Programming and Automated Rea­ INFORMATION: J.S. Pinto, Dep. Matematica, tion, Michurina 92, Saratov 410071 Rus­ soning (LPAR '94), Kiev, Ukraine. Univ. Aveiro, 3800 Aveiro, Portugal; fax: sia, fax: +845-2-240446, electronic mail: 351-75-382014; e-mail: j spinto@ua. pt. addressed to V. Molchanov postmaster@ CONFERENCE TOPICS: All areas of logic scnit. saratov. su. programming and automated reasoning, in­ * 18-22. Knots and 3-manifolds, CIRM, Lu- cluding (but not limited to): analysis, syn­ miny, Marseille. 10-30. The Park City/Institute for Ad­ thesis and verification; applications; clas­ vanced Study Mathematics Institute, Park sical and nonclassical logics; constraints; CONFERENCE TOPICS: Classical knot the­ ory, presentation of 3-manifolds, knots and City, Utah. (Jan. 1994. p. 56) constructive theorem proving; deductive singularities; polynomial invariants, Vas­ * 11-14. First International Conference on databases; functions and equations; higher­ order and meta-programming; implemen­ siliev's invariant, T.Q.F.T., Casson's in­ Temporal Logic, Gustav Stresemann Institut, variant; combinatorial methods; and appli­ Bonn. Germany. tation and architectures; inductive theorem proving; logical frameworks; parallelism cations to natural and physical sciences. PROGRAM: ICTL attempts to create bridges and concurrency; proof theory and seman­ ORGANIZERS: M. Boileau (Toulouse), C. between the various communities working tics; rewriting; theorem proving and sym­ Lescop (Grenoble), K. Millett (US), and in temporal logic. bolic computation; types and type theory; M. Domergue and Y. Mathieu (Marseille, CONFERENCE TOPICS: Topics include: pure and unification. interlocuteurs au CIRM). temporal logic, specification and verifica­ PROGRAM CoMMITTEE: D. Basin, A. Brogi, INFORMATION: A. Zeller-Meier, Centre In­ tion, temporal aspects in AI, modelling P. Codognet, S. Debray, M. Fitting, S. ternational de Recontres Mathematiques, tense and aspect in natural language, tem­ Hoelldobler, M. Hagiya, M. Hanus, C. Case916, 70,RouteLeon-LaChamp, 13288 poral databases, temporal theorem proving, Kirchner, J. Minker, G. Mints, T. Nipkow, Marseille Cedex 9; tel: 91.83.30.02. tools, planning and change, and temporal C. Paulin-Mohring, F. Pfenning, L. Plue­ logic programming. mer, V. Sazonov, D. de. Shreye, D. Scott, 18-22. Sixth International Conference on Fibonacci Numbers and Their Applications, PROGRAM COMMITTEE: J. Allen, H. Bar­ G. Smolka, S. Soloviev, K. Vershinin, A. Washington State University, Pullman, WA. ringer, J. van Benthem, G. Brewka, E. Voronkov, M. Wallace, and L. Wallen. (Jul./Aug. 1993, p. 714) Clarke, N. Francez, D.M. Gabbay, M. INFORMATION: Program Chair F. Pfen­ Georgeff, H. Kamp, 1. Nemeti, H.J. Ohlbach, ning/LPAR '94, Dept. of Computer Sci­ 18-22. Conference Internationale de Topolo­ A. Pnueli, A. Porto, W. de Roever, E. ence, Carnegie Mellon U., Pittsburgh, PA gie, Marseille, France. (Jan. 1994, p. 56) Sandewall, A. Sernadas, Y. Shoham, and 15213-3891; tel: 412-268-6343; e-mail: 18-29. Fifth Workshop of Stochastic Anal­ A. Szalas. 1par94@cs. emu. edu. ysis of Oslo-Silivri, Silivri, Istanbul, Turkey. INVITED SPEAKERS: J. Allen, J. van Ben­ (Oct. 1993, p. 1087) 17-23. Conference lnternationale de Topolo­ them, H. Kamp, and A. Pnueli. 20-22. International Symposium on Sym­ gie, CIRM, Marseille, France. (Jan. 1993, p. 64) INFORMATION: Program Chair D. M. Gab­ bolic and Algebraic Computation, ISSAC bay, Imperial College of Science, Tech­ 17-23. Algebraische Zahlentheorie, Ober­ '94, St. Catherine's College, Oxford, UK. (Jan. nology, and Medicine, Dept. of Comput­ wolfach, Federal Republic of Germany. (Apr. 1994, p. 56) ing, Huxley Blvd., 180 Queens's Gate, 1993,p.415) 20-30. Third Souslin Conference, Saratov, London SW7 2AZ, England; tel: +44-71- 17-23. Workshop on Harmonic Analysis Russia. (Jul./Aug. 1993, p. 714) 225-8447; fax: +44-71-581-8024; e-mail: and Elliptic Partial Differential Equations, dg@doc. ic. ac. uk. International Centre for Mathematical Sci­ * 21-30. 1994 ASL European Summer Meet­ ences, Edinburgh, Scotland. (Jul./Aug. 1993, ing (Logic Colloquium '94), Universite * 11-15. Analyse-non Standard, CIRM, Mar- p. 714) d' Auvergne, Clermont-Ferrand, France. seille, France. 17-23. Euroconference: Actions of Lie ORGANIZERS: Laboratoire de Logique, Al­ ORGANIZER: M. Diener (U. Nice). Groups and Discrete Subgroups on Man­ gorithmique et Informatique de l'Universite INFORMATION: A. Zeller-Meier. Centre In­ ifolds, Anogeia, Crete, Greece. (Jan. 1994, d' Auvergne, Clermont-Ferrand (LLAIC1). ternational de Recontres Mathematiques, p. 56) PRoGRAM: The first three days (July 21-

142 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY ...... -~· ·-·-·,·-· ·········~···r~-:··· ... Meetings and Conferences

23) will be devoted to the history of logic on Mathematics Education, Shanghai, China. and application of modal logic to computer (Jul./Aug. 1993, p. 714) August 1994 science. The second part (July 25-30) will 18-23. Fifth Colloquium on Differential be devoted to set theory, model theory, 1-5. Third World Congress on Computa­ Equations, Plovdiv, Bulgaria. (Apr. 1993, recursivity and algorithms, proof theory tional Mechanics (WCCM Im, Chiba, Japan. p. 416) and models of arithmetics, and finite models (May/Jun. 1992, p. 497) 18-25. Third International Conference on and complexity. 1-19. IMA Course on Mathematical Mod­ Group Theory, Pusan, Republic of Korea. CALL FOR PAPERS: Contributed papers are eling for Teachers, Institute for Mathematics (Nov. 1993, p. 1258) invited from all areas of logic. Abstracts and its Applications, University of Minnesota, 20-26. International Conference on Rings from ASL members are published in the Minneapolis, MN. (Dec. 1993, p. 1451) Journal of Symbolic Logic as part of the and Radicals, Shijiazhuang, China. (Mar. meeting report. Abstracts should be double­ 3-11. The International Congress ofMathe­ 1993,p.287) spaced and not more than one page long maticans 1994, Zurich, Switzerland. (Jul./Aug. * 20-28. International Conference on Algo­ (about 300 words). They should be sent 1993,p. 714) rithms in Algebra, Geometry, and Combi­ by March 30, 1994, to the Chair of the 7-13. Effiziente Algorithmen, Oberwolfach, natorics, near Nizhny Novgorod, Russia. Federal Republic of Germany. (Apr. 1993, Program Committee, D. Richard, LLAIC1 PRoGRAM: The Nizhny Novgorod State p. 416) - IUT Departement Informatique, BP 86- University, Radiophysical Research Insti­ 63172 Aubeiere Cedex, France; tel: (33) 73- 12-20. 1994 Summer Workshop-Conference tute, and the High Technology Incubation 40-76-05; fax: (33) 73-40-77-33; e-mail: on Classical and Quantum Geometry of Center plan to organize a series of in­ richardllaic@ Homogeneous Spaces, International Sophus ternational conferences on "Algorithms in cfdvax.univ-bpclermont.fr. Lie Centre, Moscow. (Oct. 1993, p. 1087) fundamental mathematics". The scientific INFORMATION: C. Jallat, meeting secretary, 13-17. Third Colloquium on Numeri­ program of these conferences includes the LLAIC1-IUT Departement Informatique, cal Analysis, Plovdiv, Bulgaria. (Apr. 1993, methods of construction and the investi­ BP 86-63172 Aubiere Cedex, France. p. 416) gations of the complexity and efficiency 24-30. Complex Geometry: Moduli Prob­ 13-19. International Conference on Po­ of algorithms in the various branches of lems, Oberwolfach, Federal Republic of Ger­ tential Theory (ICPT '94), Kouty, Czech fundamental mathematics. many. (Apr. 1993, p. 415) Republic. (Dec. 1993, p. 1452) ORGANIZING COMMITTEE: M.A. Antonets 14-20. Nonlinear Evolution Equations, (chair), E.I. Gordon, A.A. Markov, M.M. 25-29. Representation des Groupes Reduc­ Novozhenov (managing organizer). tifs p-adiques, CIRM, Marseille, France. (Nov. Oberwolfach, Federal Republic of Germany. (Apr. 1993, p. 416) CONFERENCE TOPICS: Algorithms in alge­ 1992, p. 1122) bra and analysis, algorithms in geometry 25-29. 1994 SIAM Annual Meeting, San 14-21. International Conference on Func­ and topology, algorithms in combinatorics, Diego, CA. (Sep. 1993, p. 927) tional Differential Equations and Applica­ algorithmic foundations of computer sci­ 25-29. Conference on Evolution Equations, tions, Moscow, Russia. (Nov. 1993, p. 1257) ence, the theoretical foundations of design University of Strathclyde, Glasgow, Scotland. 14-27. NATO Advanced Study Institute on of the computer systems for fundamental (Dec. 1993,p. 1451) ''Finite and Locally Finite Groups", Bospho­ mathematics. 25-29. European Colloquium of Category rous University, Istanbul, Turkey. (Nov. 1993, REGISTRATION FEE: $600 for foreign partic­ Theory (ECCT), Tours, France. (Jan. 1994, p. 1257) ipants and $300 for accompanying persons. p. 56) 15-17. Mathfest, University of Minnesota, INFORMATION: M.A. Antonets, Radiophys­ 26-30. Seventh International Colloquium Minneapolis, MN (including the summer meet­ ical Research Institute (NIRFI), Bolshaya on Differential Geometry, Universidade de ings of the AMS, AWM, MAA, and PME). Pecherskaya str., 25, Nizhny Novgorod, Santiago de Compostela, Santiago de Com­ 603600, Russia; fax: 7-8312369902; INFORMATION: H. Daly, AMS, P.O. Box e-mail: anton@nirfi. sandy. nnov. su. postela, Spain. (Dec. 1993, p. 1451) 6887, Providence, RI 02940. 26-30. Algebraic K-Theory, Universite Paris 21-27. Mathematical Models in Phase Tran­ VII, Paris, France. (Jan. 1994, p. 56) 15-18. Tenth Summer Conference on Gen­ sitions, Oberwolfach, Federal Republic of Ger­ eral Topology and Applications, Free Univer­ 27-August 1. International Conference on many. (Apr. 1993, p. 416) sity, Amsterdam, The Netherlands. (Nov. 1993, Commutative Algebra (A Satellite Confer­ p. 1258) * 22-25. Second Summer Conference, Nu­ ence of ICM 94, Zurich), Universitiit Os­ merical Modelling in Continuum Mechanics nabriick, Standort Vechta, Germany. (Dec. 15-19. Fifteenth International Symposium (Theory, Algorithms, Applications), Charles 1993,p. 1451) on Mathematical Programming, University University Prague, Czech Republic. of Michigan, Ann Arbor, MI. (May/Jun. 1993, 28-August 1. Workshop on Harmonic Maps p.515) CONFERENCE TOPICS: Fluid dynamics, porous and Curvature Properties of Submanifolds, 15-19. Fourth Conference of the Interna­ media flows, reactive flow problems, struc­ University of Leeds, England. (Dec. 1993, tural mechanics. p. 1451) tional Linear Algebra Society (ILAS), Eras­ mus University, Rotterdam, The Netherlands. ORGANIZERS: J. Felcman, J. Malek, M. * 31-August 4. 'JEX Users Group Annual (Dec. 1993,p. 1452) Medvidova, J. Muller, M. Rokyta, C. Meeting, University of California, Santa Bar­ Simerska, 0. Ulrych. bara, CA 15-19. 1994 International Conference on INVITED SPEAKERS: I. Babuska (US), E. Parallel Processing, The Pennsylvania State INFORMATION: Lisa Ward,'IEXUsersGroup, Dick (Belgium), R. Ewing (US), R. Hoppe University, University Park, PA. (Jan. 1994, (FRG), G.C. Hsiao (US), W. Jager (FRG), P.O. Box 869, Santa Barbara, CA 93102; p. 57) tel: 805-963-1338; fax: 805-963-8358. C. Johnson (Sweden), R. Jeltsch (Switzer­ 15-26. Advanced Workshop on Algebraic land), J. Maas (FRG), M. Marion (France), 31-August 6. Mechanics of Materials, Ober­ Geometry, International Centre for Theoretical J.C. Nedelec (France), J. Pitkiiranta (Fin­ wolfach, Federal Republic of Germany. (Apr. Physics, Trieste, Italy. (Jul./Aug. 1993, p. 714) land), V. Rivkind (Russia), E. Stili (Great 1993,p.415) 16-20. ICMI-China Regional Conference Britain), G. Warnecke (FRG), M. Wheeler

FEBRUARY 1994, VOLUME 41, NUMBER 2 143 Meetings and Conferences

(US), and G. Wittum (FRG). * 5-10. Analyse Numerique des Polyn6mes 15-19. Fifteenth International Symposium CALL FOR PAPERS: The program of the Orthogonaux, CIRM, Marseille, France. on Mathematical Programming, University conference will include invited 50-minute of Michigan, Ann Arbor, MI. (Apr. 1993, lectures and 20-minute communications. ORGANIZER: C. Brezinski (U. de Lille). p. 416) INFORMATION: A. Zeller-Meier, Centre In­ Please indicate your intention to give a 18-20. Teaching of Mathematics for Indus­ ternational de Recontres Mathematiques, communication by sending a 15-line ab­ try, Prague. (Jul./Aug. 1993, p. 715) stract (necessary for acceptance of your Case 916, 70, Route Leon-LaChamp, 13288 Marseille Cedex 9; tel: 91.83.30.02. 18-24. Risk Theory, Oberwolfach, Federal communication). Republic of Germany. (Apr. 1993, p. 416) INFORMATION: M. Feistauer, Fac. of Math. 6-8. International Conference on Parallel and Physics, Charles Univ. Prague, Sokolov­ 18-24. DMV-Jahrestagung 1994 (Annual Processing: CONPAR 94-VAPP VI, Linz, Meeting of the German Mathematical Soci­ ska 83, 186 00 Praha 8, Czech Republic; Austria. (Oct. 1993, p. 1088) tel: +42-2-24-81-08-51, +42-2-23-10-464; ety), Duisberg, Federal Republic of Germany. fax: +42-2-23-10-464; e-mail nmicm@ 7-9. IEEE European Workshop on Computer­ (Nov. 1993, p. 1258) karlin.mff. cuni. cz. Intensive Methods in Control and Signal * 19-23. IMA Workshop on Computational Processing: Can We Beat the Curse of Di­ Wave Propagation, Institute for Mathematics 22-26. Sixth Conference on Numerical mensionality?, Prague, Czech Republic. (Jan. and its Applications, University of Minnesota, Methods in Hungary, Miskolc University, 1994,p.57) Minneapolis, MN. Miskolc, Hungary. (Sep. 1993, p. 928) * 7-9. IMA Tutorial on Computational Wave INFORMATION: Institute for Mathematics * 26-28. 1994 Annual Meeting of the Aus­ Propagation, Institute for Mathematics and its and its Applications, University of Min­ tralasian Association for Logic, U. of Otago, Applications, University of Minnesota, Min­ nesota, 514 Vincent Hall, 206 Church St., Dunedin, New Zealand. neapolis, MN. SE, Minneapolis, MN 55455. INFORMATION: The meeting is convened by INFORMATION: Institute for Mathematics 19-23. 3eme Atelier International de Theorie P. Tichy, Dept. of Philosophy, U. ofOtaga, and its Applications, University of Min­ des Ensembles, CIRM, Marseille, France. Dunedin, New Zealand. nesota, 514 Vincent Hall, 206 Church St., (Apr. 1993, p. 416) SE, Minneapolis, MN 55455. 27-28. Conference on the History of Math­ INFORMATION: A. Zeller-Meier, Centre In­ ematics in Honor of Boris Rosenfeld, Penn­ 11-17. Homotopietheorie, Oberwolfach, Fed­ ternational de Recontres Mathematiques, sylvania State University, University Park, PA. eral Republic of Germany. (Apr. 1993, p. 416) Case916, 70, RouteLeon-LaChamp, 13288 (Dec. 1993, p. 1452) * 12-16. Geometrie Algebrique et Analyse Marseille Cedex 9; tel: 91.83.30.02. 28-September 3. Komplexe Analysis, Ober­ Reelle, CIRM, Marseille, France. wolfach, Federal Republic of Germany. (Apr. 21-22. International Symposium on Object­ 1993, p. 416) ORGANIZERS: F.P. Francoise (U. de Paris 6) Oriented Methodologies and Systems, Paler­ * 29-September 2. L' arithmetique des Courbes and D. Trotman (U. de Provence). mo, Italy. (Nov. 1993, p. 1258) de Genre Deux., CIRM, Marseille, France. INFORMATION: A. Zeller-Meier, Centre In­ 21-23. Meeting on Matrix Analysis and ternational de Recontres Mathematiques, Its Applications, Vitoria-Gasteiz, Spain. (Oct. ORGANIZER: J. Boxall (U. de Caen). Case916, 70,RouteLeon-LaChamp, 13288 1993, p. 1088) INFORMATION: A. Zeller-Meier, Centre In­ Marseille Cedex 9; tel: 91.83.30.02. ternational de Recontres Mathematiques, 25-0ctober 1. Mathematical Methods in Case916, 70,RouteLeon-LaChamp, 13288 * 14-16. Fourth International Conference on Tomography, Oberwolfach, Federal Republic Marseille Cedex 9; tel: 91.83.30.02. Algebraic and Logic Programming, Sixth of Germany. (Apr. 1993, p. 416) International Symposium on Programming * 26-29. Second International Conference on Language Implementation and Logic Pro­ Theorem Provers in Circuit Design: The­ gramming (ALP '94, PLILP '94), Madrid, ory, Practice, and Experience, Bad Herrenalb September 1994 Spain. (Blackforest), Germany. September 1994. SuslinJubileelnternational CONFERENCE TOPICS: Semantics of alge­ PROGRAM: TPCD provides a forum for Conferences, Suslin Foundation, Russia. (Oct. braic and logic programming, integra­ discussing the role of theorem provers in 1993, p. 1088) tion of functional and logic program­ the design of digital systems. PROGRAM CoMMITTEE: D. Borrione, H. Fall 1994. Workshop on Exterior Dif­ ming, term rewriting, narrowing, resolu­ Busch, L. Claesen, H. Eveking, S. Finn, M. ferential Systems and Applications, Centre tion, constrained logic programming and Fourman, M. Gordon, K. Hanna, W.A. de Recherches Mathematiques, Universite de constrained theorem proving, concurrent Montreal. (Jan. 1994, p. 57) features in algebraic and logic program­ H.unt, Jr., P. Loewenstein, M. Leeser, ming languages, higher order features in al­ T. Melham, T. Nipkow, D. Shepherd, J. Fall 1994. Workshop on Geometry of Non­ gebraic and logic programming languages, Staunstrup, V. Stavridou, and P. Subrah­ compact Manifolds, Centre de Recherches and implementation issues (with possible manyam. Mathematiques, Universite de Montreal. (Jan. system demonstrations). INFORMATION: R. Kumar, TCPD Confer­ 1994, p. 57) CALL FOR PAPERS: Five copies by February ence chair, Forschungszentrum Informatik, 4-10. Topologie, Oberwolfach, Federal Re­ 28 toM. Rodriguez-Artalejo, ALP '94 Co­ Dept. - ACID, Haid-und-Neu Strasse 10- public of Germany. (Apr. 1993, p. 416) chair, Departamento de Informatica y Au­ 14, 76131 Karlsruhe, Germany; tel: +49- 5-8. ECCOMAS-Second European Compu­ tomatica UCM, Facultad de Matematicas, 721-9654-419; fax: +49-721-9654-459; e­ tational Fluid Dynamics Conference, Stutt­ Avenida Complutense s/n, E28040 Madr­ mail: kumar«lfzi . de. gart, German~ (Dec. 1993,p. 1452) rid, Spain; tel: +34-1-3-94-45-12; fax: +34- * 26-30. Annual Conference of the European 5-9. IX Brazilian Meeting of Topology, 1-3-94-46-07;e-mailmario@dia. ucm. es. Association for Computer Science Logic Universidade Federal Fluminense, Instituto de Maximum 15 pages (5,000 words). (CSL '94), Kazimierz, Poland. Matematica, Niteroi, Rio de Janeiro, Brazil. INFORMATION: E-mail: plilp-alp-info@ (Jan. 1994, p. 57) dia. fi. upm. es. PROGRAM: Intended for computer scientists

144 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Meetings and Conferences

whose research activities involve logic, and its Applications, University of Min­ Propagation, and Their Inversion, Trieste, as well as for logicians working in areas nesota, 514 Vincent Hall, 206 Church St., Italy. related to computer science. SE, Minneapolis, MN 55455. INFORMATION: International Centre for The­ PROGRAM CoMMITTEE: E. Borger, M. Dezani, oretical Physics, P.O. Box 586, 1-34100 N. Jones, P. Kolaitis, J. Krajicek, J.-L. Kriv­ 12-18. CARl '94: Second African Confer­ Trieste. ine, L. Pacholski, A. Pitts, A. Razborov, ence on Research in Computer Science, Oua­ gadougou(Burkina-Faso).(Nov.1993,p.1259) and J. Tiuryn. * 9-10. IMA Thtorial on Waves in Random CALL FOR PAPERS: Six copies of an ex­ 16-22. Geometrie, Oberwolfach, Federal Re­ and Other Complex Media, Institute for tended abstract in English (up to five pages) public of Germany. (Apr. 1993, p. 416) Mathematics and its Applications, University to the program committee chairman, arriv­ * 17-21. IMA Workshop on Wavelets, Multi­ of Minnesota, Minneapolis, MN. ing no later than May 16, 1994. grid and Other Fast Algorithms (Multipole, INFORMATION: Program Chair, J. Tiuryn FFT), and Their Use in Wave Propagation, INFORMATION: Institute for Mathematics (CSL '94). Institute of Informatics, War­ Institute for Mathematics and its Applications, and its Applications. University of Min­ saw U., ul. Banacha 2, 02-097 War­ University of Minnesota, Minneapolis, MN. nesota, 514 Vincent Hall, 206 Church St., saw, Poland; fax: +48-2-6583164; e-mail: SE, Minneapolis, MN 55455. [email protected]. INFORMATION: Institute for Mathematics and its Applications. University of Min­ 11-13. Southeastern Section, University of 26-0ctober I. First International Workshop nesota, 514 Vincent Hall, 206 Church St., Richmond, Richmond, VA. on Functional Analysis, Trier University, near SE, Minneapolis, MN 55455. INFORMATION: W. Drady, AMS, P.O. Box Luxembourg, Germany. (Oct. 1993, p. 1088) * 17-21. Algebre Differentielle, CIRM. Mar- 6887. Providence, RI 02940. 26-30. Journees de Probabilites, Marseille, seille, France. France. (Jan. 1994.p.58) 13-17. 1994 International Symposium on Logic Progrannning, MSI, Ithaca, NY. 28-30. Third International Conference on ORGANIZER: F. Ollivier (CNRS E. Poly­ (Jul./Aug. 1993 p. 715) Parallel and Distributed Information Sys­ technique, Palaiseau). tems, Austin, Texas. (Jan. 1994, p. 58) INFORMATION: A. Zeller-Meier, Centre In­ 13-19. KomplexiUitstheorie, Oberwolfach, ternational de Recontres Mathematiques, Federal Republic of Germany. (Apr. 1993, Case916, 70,RouteLeon-LaChamp, 13288 p. 417) Marseille Cedex 9; tel: 91.83.30.02. * 14-18. International Conference on Mathe- October 1994 matical Ecology, Trieste, Italy. 23-29. Wahrscheinlichkeitsmafie anf Grup­ 2-8. Randelementmethoden: Anwendungen pen und Verwandten Strukturen, Oberwol­ INFORMATION: International Centre for The­ und Fehleranalysis, Oberwolfach, Federal Re­ fach, Federal Republic of Germany. (Jul./Aug. oretical Physics, P.O. Box 586, I-34100 public of Germany. (Apr. 1993. p. 416) 1993,p. 715) Trieste. * 3-7. Groupes Finis, CIRM, Marseille, France. 24-November 11. Fourth Autumn Course * 14-18. IMA WorkshoponWavesinRandom on Mathematical Ecology, Trieste, Italy. (Jan. ORGANIZER: M. Cabanes (DMI. ENS, and Other Complex Media, Institute for 1994, p. 58) Paris). Mathematics and its Applications, University INFORMATION: A. Zeller-Meier, Centre In­ 28-29. Central Section, Oklahoma State of Minnesota, Minneapolis. MN. ternational de Recontres Mathematiques. University. Stillwater, Oklahoma. Case916, 70,RouteLeon-LaChamp, 13288 INFORMATION: Institute for Mathematics INFORMATION: W. Drady, AMS, P.O. Box Marseille Cedex 9; tel: 91.83.30.02. and its Applications, University of Min­ 6887, Providence, RI 02940. nesota, 514 Vincent Hall, 206 Church St., 9-15. Arbeitsgemeinschaft mit Aktuellem 30-November 5. Finite Volume Methods, SE. Minneapolis. MN 55455. Thema (Wird in den Mitteilungen der DMV Oberwolfach, Federal Republic of Germany. Heft 3/1994 Bekanntgegeben), Oberwolfach, * 14-18. Nouvelles Tendances et Approxima- (Apr. 1993, p. 416) Federal Republic of Germany. (Apr. 1993, tion, CIRM, Marseille, France. p. 416) 31-November 4. Orthogonality, Moment Problems, and Continued Fractions: An In­ ORGANIZER: J. C. Fiorot (U. de Lille). 10-14. Journees d'Etude en Statistique, * ternational Conference in Honor of T.J. INFORMATION: A. Zeller-Meier. Centre In­ CIRM, Marseille, France. Stieltjes, Jr. (1856-1894), Delft, Holland. ternational de Recontres Mathematiques, Case916, 70,RouteLeon-LaChamp, 13288 ORGANIZERS: J.-J. Droesbeke (U. Libre de (Dec. 1993. p. 1453) Marseille Cedex 9; tel: 91.83.30.02. Bruxelles) and J. Fine (U. de Toulouse III). INFORMATION: A. Zeller-Meier, Centre In­ 20-26. Mathematical Aspects of Computa­ ternational de Recontres Mathematiques, tional Fluid Dynamics, Oberwolfach. Federal Case916, 70,RouteLeon-LaChamp.l3288 Republic of Germany. (Apr. 1993. p. 417) Marseille Cedex 9; tel: 91.83.30.02. November 1994 27-December 3. Mathematical Models for * 2-4. Mathematique Informatique, CIRM, I 0-28. School/Workshop on Variational and Infectious Diseases, Oberwolfach, Federal Re­ Marseille, France. Local Methods in the Study of Hamiltonian public of Germany. (Jul./Aug. 1993. p. 715) Systems. International Centre for Theoretical 0RGNAIZER: MM. Champarnaud, Neraud Physics, Trieste. Italy. (Jul./Aug. 1993, p. 715) (U. de Rouen). * 11-13. IMA Thtorial on Wavelets, Multi­ INFORMATION: A. Zeller-Meier, Centre In­ December 1994 ternational de Recontres Mathematiques, grid and Other Fast Algorithms (Multipole, 4-10. Applied Probability, Oberwolfach, Case 916, 70. Route Leon-LaChamp, 13288 FFT), and Their Use in Wave Propagation, Federal Republic of Germany. (Jul./Aug. 1993, Marseille Cedex 9; tel: 91.83.30.02. Institute for Mathematics and its Applications. p. 715) University of Minnesota. Minneapolis, MN. * 7-18. 2nd Workshop on Three-dimensional 12-14. SIAM Conference on Inverse Prob­ INFORMATION: Institute for Mathematics Modelling of Seismic Waves Generation, lems. Fish Camp, CA. (Dec. 1993, p. 1453)

FEBRUARY 1994, VOLUME 41, NUMBER 2 145 Meetings and Conferences

* 12-17. Pacific Rim Geometry Conference, National University of Singapore, Republic of Singapore. March 1995 November 1995 INVITED SPEAKERS: The following have 4-5. Eastern Section, Hartford, Connecticut. 3-4. Central Section, Kent State University, Kent, Ohio. accepted invitations to give 50-minute INFORMATION: W.S. Drady, American Math­ lectures: R. Bott (Harvard); A. Chang ematical Society, P.O. Box 6887, Provi­ INFORMATION: W. Drady, AMS, P.O. Box (UCLA); S.Y. Cheng (CUHKIUCLA); H.l. dence, RI 02940. 6887, Providence, RI 02940. Choi (Seoul); J. Eells, F.T. Farrell (SUNY, Binghamton); K. Fukaya (Tokyo); R. Hamil­ 17-18. Southeastern Section, Orlando, Florida. 17-18. Southeastern Section, University of North Carolina, Greensboro, NC. ton (UCSD); J.X. Hong (Fudan, China); P. INFORMATION: W.S. Drady, American Math­ Li (UC Irvine); C.S. Lin (CCU, Taiwan); ematical Society, P.O. Box 6887, Provi­ INFORMATION: W.S. Drady, AMS P.O. Box N. Mok (Paris); T. Mrowka (Caltech); L. dence, RI 02940. 6887, Providence, RI 02940. Simon (Stanford); K. Ueno (Kyoto); and S.T. Yau (Harvard). There will also be 24-25. Central Section, DePaul University, sessions for shorter, contributed talks. Chicago, IL. January 1996 INFORMATION: The registration fee for the conference will be $200 (U.S.). The fee INFORMATION: W. Drady, AMS, P.O. Box 10-13. Joint Mathematics Meetings, Or­ could be waived for hardship cases. For 6887, Providence, RI 02940. lando, Florida (including the annual meetings more information: Pacific Rim Geometry of the AMS, AWM, MAA, and NAM). Conference, Dept. of Math., National U. of INFORMATION: H. Daly, AMS, P.O. Box The following new announcements will not Singapore, Singapore, 0511, Rep. of Singa­ 6887, Providence, RI 02940. pore; e-mail: matprgc@nusunix. nus. sg. be repeated until the criteria in the last paragraph in the box at the beginning of this 18-23. Asymptotik Hochdimensionaler Sta­ section are met. March 1996 tistischer Modelle, Oberwolfach, Federal Re­ public of Germany. (Apr. 1993, p. 417) 22-23. Central Section, University of Iowa, Second International Conference on Nu­ Iowa City, Iowa. May 1995 merical Methods for Volterra and Delay INFORMATION: W. Drady, AMS, P.O. Box Equations (A conference to celebrate the * 29-June 1. International Conference on 6887, Providence, RI 02940. lOOth anniversary of Volterra's birth.), Italy. Mathematical Modelling, Universiti Brunei (Mar. 1992, p. 251) Darussalam, Brunei Darussalam. PROGRAM: The conference will address var­ April1996 ious physical, biological, engineering, and 19-21. Southeastern Section, Baton Rouge, social systems. Models for specific situa­ Louisiana. tions will be presented at the conference. January 1995 Invited and plenary lectures will present the INFORMATION: W.S. Drady, American Math­ state of the art of mathematical modelling ematical Society, P.O. Box 6887, Provi­ 4-7. Joint Mathematics Meetings, San Fran­ in some of the main areas with particular dence, RI 02940. cisco, CA (including the annual meetings of reference to the problems of developing the AMS, AWM, MAA, and NAM). nations and of Brunei Darussalam. November 1996 INFORMATION: H. Daly, AMS, P.O. Box CALL FOR PAPERS: Research papers devel­ 6887, Providence, RI 02940. oping mathematical, statistical, and com­ 1-2. Central Section, University of Missouri putational models including identification, at Columbia, Columbia, Missouri. 16-19. First Asian Computational Fluid estimation, and control problems are in­ INFORMATION: W. Drady, AMS, P.O. Box Dynamics Conference, Hong Kong University vited for oraVposter presentation. Partic­ of Science and Technology, Clear Water Bay, ularly encouraged are papers relating to 6887, Providence, RI 02940. Hong Kong. (Jan. 1994, p. 58) coastal and primary resources, mathemati­ * 17-20. IMA Tutoriall on Inverse Problems cal biosciences, and ecology and pollution, January 1997 in Wave Propagation, Institute for Math­ since these areas are of particular interest ematics and its Applications, University of to Brunei Darussalam. Abstracts are due by 10-13. Joint Mathematics Meetings, San Minnesota, Minneapolis, MN. March 31, 1994. Diego, California (including the annual meet­ INFORMATION: The Organizing Secretary, ings of the AMS, AWM, MAA, and NAM). INFORMATION: Institute for Mathematics International Conference on Mathemati­ and its Applications, University of Min­ INFORMATION: H. Daly, AMS, P.O. Box cal Modelling, Dept. of Math., Universiti nesota, 514 Vincent Hall, 206 Church St., 6887, Providence, RI 02940. Brunei Darussalam, Gadong 3186, Negara SE, Minneapolis, MN 55455. Brunei Darussalam. * 30-February 3. IMA Tutorial 2 on Inverse Problems in Wave Propagation, Institute for Mathematics and its Applications, University October 1995 of Minnesota, Minneapolis, MN. 7-8. Eastern Section, Northeastern Univer­ INFORMATION: Institute for Mathematics sity, Boston, Massachusetts. and its Applications, University of Min­ nesota, 514 Vincent Hall, 206 Church St., INFORMATION: W. Drady, AMS, P.O. Box SE, Minneapolis, MN 55455. 6887, Providence, RI 02940.

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

CONTEMPORARY MATHEMATICS U. Riide, On the robustness and efficiency of the fully adaptive multigrid method; J.-M. Thomas and D. Trujillo, Finite volume variational formulation. Application to domain decomposition methods; Part II. Algorithms: Invited Lectures: A. Brandt and B. Diskin, Multigrid solvers on decomposed domains; T. F. Chan and T. P. Mathew, Domain decomposition preconditioners Domain Decomposition for convection diffusion problems; 0. Ernst and G. H. Golub, A domain Methods in Science and decomposition approach to solving the Helmholtz equation with a radiation Engineering boundary condition; C. Farhat and F.-X. Roux, The dual Schur complement Domain DecomposiHon Methods method with well-posed local Neumann problems; W. D. Gropp, D. E. Keyes, In Science and Engineering Alfio Quarteroni, Jacques AllloQuarltlronl and J, S. Mounts, Implicit domain decomposition algorithms for steady, Jact~ueePMiallll VUrlA.Kua.IIOY Periaux, Yuri A. Kuznetsov, compressible aerodynamics; T. E. Tezduyar, M. Behr, S. K. Aliabadi, S. Mittal, OIDI'I.Widlund ..... and Olof B. Widlund, Editors and S. E. Ray, A new mixed preconditioning method based on the clustered Volume 157 element-by-element preconditioners; Contributed Lectures: A. Averbuch, M. Israeli, and L. Vozovoi, Domain decomposition methods with local Fourier This book contains the proceedings basis for parabolic problems; J.-D. Benamou and Y. Brenier, A domain of the Sixth International Conference on decomposition metlwdfor the polar factorization of vector fields; B. Bialecki, Domain Decomposition, held in June 1992 X.-C. Cai, M. Dryja, and G. Fairweather, An additive Schwarz algorithm in Como, Italy. Developments in this area are driven by advances in for piecewise Hermite bicubic orthogonal spline collocation; M. C. Curran, computer technology as we11 as by a strengthening in the mathematical An iterative finite-element collocation method for parabolic problems using foundations of the subject. Compared to just a few years ago, experts domain decomposition; M. Griebel, A domain decomposition method using have much more experience with difficult applications and have sparse grids; W. Heinrichs, Domain decomposition for the Stokes equations accumulated solid evidence that these methods provide valuable tools in streamftmction formulation; Yu. A. Kuznetsov, P. Neittaanmiiki, and for solving problems in science and engineering. Much of the work in P. Tarvainen, Overlapping domain decomposition methods for the obstacle this field focuses on developing numerical methods for large algebraic problem; C.-H. Lai, An iteration scheme for non-symmetric interface operators; systems, methods central to producing efficient codes for computational F. Natafand F. Rogier. Factorization of the convection-diffusion operator and a fluid dynamics, elasticity, and other core problems of continuum (possibly) non overlapping Sclzwar: method; C. R. Schneidesch, M. 0. Deville, mechanics. These methods hold the promise of allowing simulations of and E. H. Mund, Domain decomposition method coupling finite elements and very high resolution with relative ease. This approach allows for the preconditioned Chebyshev collocation to solve elliptic problems; T.-M. Shih, flexibility of using different numerical methods and different models, C.-B. Liem, and T. Lu,Additive Schwarz methods and acceleration with variable each appropriate for the subregion at hand, to solve large problems in a weights; Part III. Parallelism: Invited Lectures: P. F. Fischer, Parallel domain cost-effective way. Containing contributions by international experts in decomposition for incompressible fluid dynamics; W. D. Gropp and B. F. Smith, this area, this book reports on the state-of-the-art in the growing field of Experiences with domain decomposition in three dimensions: Overlapping domain decomposition. Schwarz methods; U. Langer, Parallel iterative solution of symmetric Contents coupled FE! BE-equations via domain decomposition; Contributed Lectures: Part I. Theory: Invited Lectures: V. I. Agoshkov, Domain decomposition A. Brambilla, C. Carlenzoli, G. Gazzaniga, P. Gervasio, and G. Sacchi, methods using modified basis functions; J, H. Bramble and J, E. Pasciak, Implementation of domain decomposition techniques on nCUBE2 parallel Uniform convergence estimates for multigrid V-cyc/e algorithms with less machine; P. Ciarlet Jr. and G. Meurant, A class of domain decomposition than full elliptic regularity; F. Brezzi and L. D. Marini, A three-field domain preconditionersfor massively parallel computers; F. Dellagiacoma, S. Paoletti, decomposition method; C. Canuto and A. Russo, Self-adaptive coupling of F. Poggi, and M. Vitaletti, A domain decomposition environment for local time mathematical models and/or numerical methods; C. N. Dawson and T. F. dependent problems; S. Foresti, S. Hassanzadeh, and V. Sonnad, A parallel Dupont, Noniterative domain decomposition for second order hyperbolic element-by-element method for large-scale computations with h - p-finite problems; M. Dryja and 0. B. Widlund, Some recent results on Schwarz type elements; Part IV. Applications: Invited Lectures: J, F. Bourgat, P. Le domain decomposition algorithms; Yu. A. Kuznetsov, 01•erlapping domain Tallec, B. Perthame, andY. Qiu, Coupling Boltzmann and Euler equations decomposition methods for parabolic problems; J, Sun, Domain decomposition without overlapping; M. 0. Bristeau, R. Glowinski, and J. Periaux, On the and multilevel PCG method for solving 3-D fourth order problems; J. Xu, numerical solution of the Helmholtz equation at large wave numbers using exact Some two-grid finite element methods; Contributed Lectures: G. Aguilar and controllability methods. Application to scattering; R. Glowinski, T.-W. Pan, F. Lisbona, Interface conditions for a kind of non linear elliptic-hyperbolic and J, Periaux, A fictitious domain method for unsteady incompressible viscous problems; L. Gastaldi, A domain decomposition for the transport equation; flow modelled by Navier-Stokes equations; Contributed Lectures: M. C. J, Mandel, Hybrid domain decomposition with unstructured subdomains; L. F. Ciccoli, J. A. Desideri, and J, Periaux, Introduction of domain decomposition Pavarino, Some Schwarz algorithms for the p-version finite element method; techniques in time-dependent flow problems; Z. Dostat, The Schur complement

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FEBRUARY 1994, VOLUME 41, NUMBER 2 147 ...... -...... ~~I:~~~~~~Ii~-~~ ...... -...... ,_ ...... -...... -...... -...... -...... New Publications Offered by the AMS

algorithm for the solution of contact problems; E. Faccioli, A. Quarteroni, and A. Tagliani, Spectral multidomain methods for the simulation of wave Commutative Algebra: propagation in heterogeneous media; A. Gersztenkorn and J. C. Diaz, Domain Syzygies, Multiplicities, decomposed preconditioning/or faulted geological blocks; J.•L. Guermond and and Birational Algebra W.-Z. Shen, A domain decomposition method for simulating 2D external viscous Commutative Algebra Syzygle&, MuHJpllclftea, William J. Heinzer, flows; I. Lie, Interface conditions for heterogeneous domain decomposition: and Blraffonal Algebra coupling of different hyperbolic systems; D. Mansutti and F. Pitolli, Simulation Craig L. Huneke, and of 3D Navier-Stokes flows via domain decomposition by the modified discrete Judith D. Sally, Editors vector potential model; Author index. Volume 159 1991 Mathematics Subject Classification: 65M55, 65N55 ISBN 0-8218-5158-6, LC 93-36691, ISSN 0271-4132 This volume contains refereed papers 484 pages (softcover), February 1994 on themes explored at the AMS-IMS­ Individual member $45, List price $75, Institutional member $60 SIAM Summer Research Conference, To order, please specify CONM/157N Commutative Algebra: Syzygies, Multiplicities, and Birational Algebra, held at Mount Holyoke College in 1992. The conference featured a series of one-hour invited lectures on recent advances in commutative Topology and Representa­ algebra and interactions with such areas as algebraic geometry, tion Theory representation theory, and combinatorics. The major themes of the conference were tight closure Hilbert functions, birational algebra, Eric M. Friedlander and free resolutions and the homological conjectures, Rees algebras, and Topology and Mark E. Mahowald, Editors RepresentaHon Theory local cohomology. With contributions by several leading experts in the Volume 158 field, this volume provides an excellent survey of current research in commutative algebra. During 1991-1992, Northwestern University conducted a special emphasis Contents year on the topic, "The connections L. L. Avramov and H.-B. Foxby, GrothendiecKs localization problem;

'";,. between topology and representation F. Call and G. Lyubeznik, A simple proof of Grothendieck's theorem on the theory". Activities over the year parafactoriality of local rings; H. Charalambous and E. G. Evans, Jr., culminated in a conference in May 1992 Resolutions with a given Hilbert function; S.D. Cutkosky, Complete ideals which attracted over 120 participants. Most of the plenary lectures in algebra and geometry; J. Elias, A. V. Geramita, and G. Valla, On the at the conference were expository and designed to introduce current Cohen-Macaulay type of perfect ideals; S. Goto andY. Nakamura, On the trends to graduate students and nonspecialists familiar with algebraic Gorensteinness of graded rings associated to ideals of analytic deviation one; topology. This volume contains refereed papers presented or solicited W. J, Heinzer, D. Lantz, and S. M. Wiegand, Prime ideals in birational at the conference; one paper is based on a seminar given during the extensions of polynomial rings; J, Herzog, On the index of a homogeneous emphasis year. Gorenstein ring; M. Hochster, Solid closure; M. Hochster, Tight closure in equal Contents characteristic, big Cohen-Macaulay algebras, and solid closure; M. Hochster and C. Huneke, Indecomposable canonical modules and connectedness; J, Carlson, Systems of parameters and the structure of cohomology rings of K. Kirby and D. Rees, Multiplicities in graded rings I: The general theory; A. R. finite groups; J, Dietz, The role of the Steinberg module in splitting BG; M. J, Kustin, Pfaffian identities, with applications to free resolutions, DO-algebras, Hopkins and B. H. Gross, Equivariant vector bundles on the Lubin-Tate moduli and algebras with straightening law; J. Lipman, Proximity inequalities space; M. J. Hopkins, M. Mahowald, and H. Sadofsky, Constructions of for complete ideals in two-dimensional regular local rings; U. Nagel and elements in Picard groups; I. Kriz, All complex Thorn spectra are harmonic; P. Schenzel, Cohomological annihilators and Castelnuovo-Mumford regularity; N. J, Kuhn, Constructions of families of elements in the stable homotopy K. N. Raghavan, Local-global principle for annihilation of local cohomology; groups of spheres; J, R. Martino, Classifying spaces ofp-groups with cyclic P. C. Roberts, Multiplicities and Chern classes; P. C. Roberts, A computation maximal subgroups; N. Minami, On the classifying spaces of SL3(Z ), St3(Z) of local cohomology; H. Srinivasan, Algebra structures for graded free and finite Chevalley groups; J. H. Palmieri, The chromatic filtration and the resolutions; I. Swanson, Primary decompositions ofpowers of ideals; B. Ulrich, Steenrod algebra; T. Petrie, Topology, representations and equivariant algebraic Artin-Nagata properties and reductions of ideals; W. V. Vasconcelos, Hilbert geometry; K. Shimomura and A. Yabe, On the chromatic E 1-term H* MJ; functions, analytic spread, and Koszul homology; K.•l. Watanabe, Infinite cyclic D. Tamaki, On a space realizing the v 1-torsion part of the mod p homotopy covers of strongly F-regular rings; R. Wiegand, Torsion in Picard groups of groups of 83 ; M. C. Tangora, Some Massey products in Ext; M. Tezuka and affine rings. N. Yagita, Calculations in mod p cohomology of extra special p-groups I; C. B. 1991 Mathematics Subject Classification: 13--06; 13-.0Z, 14--06, 14--02 Thomas, Elliptic cohomology of the classifying space of the Mathieu group M 211 • ISBN 0-8218-5188-8, LC 93-45007, ISSN 0271-4132 1991 Mathematics Subject Classification: 55Pxx, 55Nxx, 55Qxx, 20Cxx; 55S10, 444 pages (softcover), February 1994 20J06 Individual member $37, List price $61, Institutional member $49 ISBN 0-8218-5165-9, LC 93-39673, ISSN 0271-4132 To order, please specify CONM/159N 318 pages (softcover), February 1994 Individual member $29, List price $48, Institutional member $38 To order, please specify CONM/158N

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

In addition, a new classification of nonlinear nonlocal equations is LECTURES ON MATHEMATICS introduced. A large class of these equations is treated by a single IN THE LIFE SCIENCES method, the main features of which are apriori estimates in different integral norms and use of the Fourier transform. This book will interest specialists in partial differential equations, as well as physicists and engineers. ------1 r \ ' I I Cell Biology Contents LIFE SciENCES Introduction; Simplest properties of solutions of nonlinear nonlocal equations; ------Byron Goldstein and The Cauchy problem for the Whitham equation; The periodic problem; The Carla Wofsy, Editors system of equations of surface waves; Generalized solutions; The asymptotics Cell Biology Volume 24 as t --> oo of solutions of the generalized Kolmogorov-Petrovskii-Piskunov Byron Goldstetn equation; Asymptotics of solutions of the Whitham equation for large times; Carla Wofsy As the techniques of modem molecular Editors Asymptotics as t --> oo of solutions of the nonlinear nonlocal Schrodinger biology continue to revolutionize equation; Asymptotics of solutions for a system of equations of surface waves experimental design in cell biology, for large times; The step-decaying problem for the Korteweg-de Vries-Burgers mathematical modeling and analysis equation; References. become increasingly necessary and 1991 Mathematics Subject Classification: 35Lxx, 45K05; 35Q35, 76L05 feasible. The papers in this collection ISBN 0-8218-4573-X, LC 93-8452, ISSN 0065-9282 expand on invited lectures presented at the 289 pages (hardcover), February 1994 Symposium on Some Mathematical Questions in Biology: Cell Biology, Individual member $89, List price $149, Institutional member $119 held in November 1992 in Denver, Colorado. The work reviewed in To order, please specify MMON0/133N the papers demonstrates the power of combining mathematics and experiment to study a number of cell processes, including: protein transport in nerve axons, formation of transport vesicles at the Golgi, PROCEEDINGS OF SYMPOSIA IN PURE molecular motion in cell membranes, cell adhesion, T lymphocyte activation, and cellular responses to receptor aggregation. The MATHEMATICS volume is an important contribution to the literature, as it introduces mathematicians to a growing application area and cell biologists to new tools and results. The individual articles can be used as readings in a course on mathematical modeling. Motives Contents Uwe Jannsen, M. C. Reed and J, J, Blum, Mathematical questions in axonal transport; ...... E. Odell and G. Oster, Curvature segregation ofproteins in the Golgi; E. L. Steven Kleiman, and Elson and H. Qian, Measurements of molecular transport in small systems; Motives Jean-Pierre Serre, Editors M. Dembo, On peeling an adherent cell from a surface; J. J, Linderman, Volume 55 N. G. Berry, and D. F. Singer, Toward quantifying the activation of helper T lymphocytes by antigen presenting cells; B. Goldstein and C. Wofsy, Motives were introduced in the Aggregation of cell surface receptors. rnid-1960s by Grothendieck to explain the analogies among the various cohomology 1991 Mathematics Subject Classification: 92--()2; 92C05, 92CIO, 92C45 ISBN 0-8218-1175-4, LC 93-43588, ISSN 0075-8523 theories for algebraic varieties, to play the 135 pages (softcover), February 1994 role of the missing rational cohomology, Individual member $23, List price $38, Institutional member $30 and to provide a blueprint for proving To order, please specify LLSCI/24N Weil's conjectures about the zeta function of a variety over a finite field. Over the last ten years or so, researchers in various areas-Hodge theory, algebraic K-theory, polylogarithms, automorphic forms, TRANSLATIONS OF MATHEMATICAL £-functions, £-adic representations, trigonometric sums, and algebraic cycles-have discovered that an enlarged (and in part conjectural) MONOGRAPHS theory of "mixed" motives indicates and explains phenomena appearing in each area. Thus the theory holds the potential of enriching and unifying these areas. These volumes contain the revised texts of nearly all the lectures presented at the AMS-IMS-SIAM Joint Summer Research Conference on Motives, held in Seattle in 1991. A number of TriUlSlatlonsof Nonlinear Nonlocal MATHEMATICAL related works are also included, making for a total offorty-seven papers, MONOGRAPHS Equations in the Theory of from general introductions to specialized surveys to research papers. Waves Contents P. I. Naumkin Part 1. Cohomology: S. Kleiman, The standard conjectures; N. Katz, Review of Nonlinear Nonlocal i-adic cohomology; J, Steenbrink, A summary ofmixed Hodge theory; L. Dlusie, Equations Jn the and I. A. Shishmarev . Theory ofWaves Crystalline cohomology; J, Tate, Conjectures on algebraic cycles in i-adic P,:t,.Na\JmldD LA.Sblllhmuw Volume 133 cohomology; M. Saito, Some remarks on the Hodge type conjecture; N. Katz, This book is the first to concentrate on Independence of .e and weak Lefschetz; P. Deligne, Decompositions dans Ia the theory of nonlinear nonlocal equations . categorie derivee; H. Gillet and C. Soule, Arithmetic analogs of the standard ....___ The authors solve a number of problems conjectures; Chow groups, K -theory and motivic cohomology: P. Deligne, A concerning the asymptotic behavior of quoi servent les motifs?; A. Scholl, Classical motives; K. Kiinnemann, On the solutions of nonlinear evolution equations, Chow motive of an abelian scheme; D. Grayson, Weight filtrations in algebraic the blow-up of solutions, and the global in time existence of solutions. K -theory; S. Bloch, An elementary presentation for K-groups and motivic

FEBRUARY 1994, VOLUME 41, NUMBER 2 149 New Publications Offered by the AMS

cohomology; U. Jannsen, Motivic sheaves and filtrations on Chow groups; some years, and some are unknown even to the present day. To help S. Lichtenbaum, Motivic complexes; M. Saito, On the bijectivity of some cycle fill this communication gap, this collection offers papers that were maps; Motivic Galois groups: L. Breen, Tannakian categories; J.-P. Serre, obscurely published and very hard to find. Among the topics covered Proprietes conjecturales des groupes de Galois motiviques et des representations here are: graph theory, network flow and multicomtnodity flow, £-adiques; J, Milne, Motives over finite fields; A. Pancbishkin, Motives for linear programming and combinatorial optitnization, matroid theory absolute Hodge cycles; N. Schappacher, CM motives and the Taniyama group; and submodular systems, matrix theory and combinatorics, parallel P. Deligne, Structures de Hodge mixtes reelles; £-functions: C. Deninger, computing, complexity of algorithms, random graphs and statistical £-junctions of mixed motives; B. Gross, £-functions at the central critical mechanics, coding theory, and algebraic combinatorics and group point; J, Nekovar, Beilinson's conjectures; A. Scholl, Height pairings and theory. special values of £-functions; J.-M. Fontaine and B. Perrin-Riou, Autours des Contents conjectures de Bloch et Kato: Cohomologie galoisienne et valeurs de fonctions L. G. Babat, Approximate evaluation of a linear function at the vertices of L; C. Deninger, Motivic £-functions and regularized determinants; M. Schriiter the unit n-dimensional cube; L. G. Babat, On the growth of coefficients in an and C. SoUle, On a result of Deninger concerning Riemann's zeta function; integra/linear aggregation; B. V. Cherkasskii', A fast algorithm for constructing Part 2. Polylogarithms: R. Hain, Classical polylogarithms; A. Goncharov, a maximum flow through a network; V. P. Grishukhin, On the extremality of Polylogarithms and motivic Galois groups; A. Beilinson and P. Deligne, the rank function of a connected semimodular lattice; V. P. Grishukbin, On Interpretation motivique de Ia conjecture de Zagier reliant polylogarithmes et polynomial solvability conditions for the simplest plant location problem; A. V. regulateurs; A. Beilinson and A. Levin, The elliptic polylogarithm; p-adic and Karzanov, Minimal mean weight cuts and cycles in directed graphs; A. V. characteristic p theory: R. Greenberg, lwasawa theory and p-adic deformations Karzanov, An algorithm for determining a maximum packing of odd-terminus of motives; P. Schneider, p-adic points of motives; A. Pancbishkin, Admissible cuts, and its applications; A. V. Karzanov, Maximum- and minimum-cost non-Archimedean standard zeta functions associated with Siegel modular multicommodity flow problems having unboundedfractionality; A. V. Karzanov, forms; D. Blasius, A p-adic property of Hodge classes on abelian varieties; On a class of maximum multicommodity flow problems with integer optimal D. Goss, Drinfeld modules: Cohomology and special functions; Automorphic solutions; A. K. Kelmans, On edge mappings of graphs preserving subgraphs fonns and Shimura varieties: S. Kudla, The local Langlands correspondence: of a given type; A. K. Kelmans, On edge semi-isomorphisms of graphs induced The non-Archimedean case; A. Knapp, Local Langlands correspondence: The by their isomorphisms; A. K. Kelmans, Constructions of cubic bipartite Archimedean case; D. Ramakrishnan, Pure motives and automorphic forms; 3-connected graphs without Hamiltonian cycles; A. K. Kehnans, Nonseparating J, Milne, Shimura varieties and motives; D. Blasius and J, Rogawski, Zeta circuits and the planarity of graph-cells; A. K. Kelmans and V. P. Polesskii, functions of Shimura varieties; M. Harris, Hodge-de Rham structures and Extremal sets and covering and packing problems in matroids; E. V. Kendys, periods of automorphic forms; J, Tilouine, Galois representations congruent to V. M. Makarov, A. R. Rubinov, and E. M. Tishkin, Optimal distribution those coming from Shimura varieties; K. Ribet, Report on mod£ representations sorting; P. A. Pevzner, Branching packing in weighted graphs; P. A. Pevzner, ofGal(QjQ). Non-3-crossingfamilies and multicommodity flows; A. D. Vainshteln, The vector

1991 Mathematics Subject Classification: 14--{)6; 11F70, 11035, 14A20, 19F27 shortest path problem in the l00-norm; A. D. Vainshteln, Lower performance ISBN (Set) 0-8218-1635-7, (Part 1) 0-8218-1636-5, (Part 2) 0-8218-1637-3 bounds for on-line algorithms in the simple two-dimensional rectangle packing LC 93-38970, ISSN 0082-0717 problems. 1423 pages (Set), 747 pages (Part 1), 676 pages (Part 2), (hardcover), February 1994 1991 Mathematics Subject Classification: 05B40, 05C38, 68R05, 68R10, 90B 10; Set: List price $250, Individual member $150, Institutional member $200 05B35,05C10,68PIO Part 1: List price $140, Individual member $84, Institutional member $112 ISBN 0-8218-7509-4, LC 93-48534, ISSN 0065-9290 Part 2: List price $129, Individual member $77, Institutional member $103 221 pages (hardcover), February 1994 Individual member $47, List price $79, Institutional member $63 To order, please specify PSPUM/55N (Set), PSPUM/55.1N (Part 1), To order, please specify TRANS21158N PSPUM/55.2N (Part 2)

FRACTAL ANALYSIS SOFTWARE PACKAGE AMERICAN MATHEMATICAL SOCIETY TRANSLATIONS-SERIES 2 Fractal Analysis Software . . Package: A Fractal ...,~M~~., . TRANSLATIONS Selected Topics in Discrete ~~ctal Analysis Generator for Windows™ ~2 ... ~19. Mathematics: Proceedings , ; U~'s Guide 3.x ·, IiltrodUouQft tQFr~­ of the Moscow Discrete . · UolngW!ndoW.s'" s.x Pierre Ferland, Mathematics Seminar, -.UdiiWalte·== Claude Tricot, and 1972-1990 Axel van de Walle A. K. Kelmans, Editor The Fractal Analysis Software Volume 158 ""'""""·--"'- • Package provides more than pretty pictures; it gives users a tool for pedagogy This is a collection of translations of a and analysis that allows exploration of the mathematical theory hidden • _,._...... variety of papers on discrete mathematics behind the magical beauty of fractal images. Originally developed for by members of the Moscow Seminar on classroom lectures and seminars, the software features an accessible Discrete Mathematics. This seminar, begun in 1972, was marked by geometrical approach and user-friendly environment. The user can active participation and intellectual ferment. Mathematicians in the rapidly create and render a famous family of fractal images: iterated USSR often encountered difficulties in publishing, so many interesting function systems of affine application attractors. Several methods of results in discrete mathematics remained unknown in the West for fractal dimension estimation, such as the box counting method and the

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Minkowski sausage method, are included. The user is free to set all 1991 Mathematics Subject Classification: 28A80; 58F08 the parameters that control these operations and can view every step ISBN 0-8218-0999-7, LC 93-49353 of the process. The software makes complete use of the user-friendly 35 pages (softcover), January 1994 Individual member $30, List price $50, Institutional member $40 environment and interfacing capabilities of Microsoft Windows TM 3 .x. To order, please specify FASP/N Contents Installing fractal analysis; Introduction to IFS; Introduction to the fractal dimension; Fractal analysis windows description; Working with fractal analysis; List offigures.

DIMACS: Series in Discrete Mathematics and Theoretical Computer Science Groups and Computation Larry Finkelstein and William M. Kantor, Editors Volume 11

This volume contains papers presented at the Workshop on Groups and Computation, held in October 1991. The workshop explored interactions among four areas: symbolic algebra and computer algebra, theoretical computer science, group theory, and applications of group computation. The papers also discuss such topics as parallel algorithms for groups, computation in associative algebras, asymptotic behavior of permutation groups, the study of finite groups using infinite reflection groups, combinatorial searching, computing with representations, and Cayley graphs as models for interconnection networks.

1991 Mathematics Subject Classification: 20 ISBN 0-8218-6599-4, 313 pages (hardcover), September 1993 Individual member $41, List price $69, Institutional member $55 To order, please specify DIMACS/llNA

Network Flows and Matching First DIMACS Implementation Challenge David S. Johnson and Catherine C. McGeoch, Editors Volume 12

The DIMACS Implementation Challenge was organized to encourage experimental work in the area of network flows and matchings. Participants at sites in the U.S., Europe, and Japan undertook projects between November 1990 and August 1991 to test and evaluate algorithms for these problems. The Challenge culminated in a three-day workshop held in October 1991 at DIMACS. This volume contains the revised and refereed versions of twenty-two of the papers presented at the workshop, along with supplemental material about the Challenge and the Workshop.

1991 Mathematics Subject Classification: 68, 90 ISBN 0-8218-6598-6, 592 pages (hardcover), October 1993 Individual member $58, List price $96, Institutional member $77 To order, please specify DIMACS/12NA

~:=:~·<~ All prices subject to change. Free shipment by surface: for air delivery, please add $6.50 per title. Prepayment required. Order from: American ~g ! j ~ Mathematical Society, P.O. Box 5904, Boston, MA 02206-5904, or call toll free 800-321-4AMS (321-4267) in the U.S. and Canada to charge • ." with VISA or MasterCard. Residents of Canada, please include 7% GST. A0 £WoED \'f>'l>"*'-

FEBRUARY 1994, VOLUME 41, NUMBER 2 151 Miscellaneous

Personals Deaths Visiting Mathematicians Gilbert M. Helmberg, of the University Joseph Gillis, professor emeritus of the Supplementary List of lnnsbruck, has been elected president Weizmann Institute of Science, died on Mathematicians visiting other institu­ of the Austrian Mathematical Society November 28, 1993. He was born in tions during the 1993-1994 academic for 199~1995. August 1911, and was a member of the year have been listed in recent issues of Herbert Keller, of California In­ Society for 53 years. the Notices: July/August 1993, p. 731; stitute of Technology, has been named Nina B. Maslova, of the St. Peters­ September 1993, p. 947; October 1993, the recipient of the 1994 Theodore von burg division of the Oceanology Insti­ p. 1095; and December 1993, p. 1461. Karnuin Prize of the Society for Indus­ tute, Russian Academy of Sciences, died Tianxin Cai (China), California State trial and Applied Mathematics (SIAM), on November 18, 1993. She was born University, Fresno, Number Theory, which is given for a notable applica­ on May 30, 1939, and was a member of 9/93-6/94. tion of mathematics to mechanics or the Society for 12 years. engineering. Kentaro Yano, professor emeritus Erratum De Witt Sumners, of Florida State of Tokyo Institute of Technology, died University, was recently named Dis­ on December 25, 1993. He was born on Alan John Ellis was incorrectly re­ tinguished Research Professor at that March 1, 1912, and was a member of ported as having died on August 22, institution. the Society for 42 years. 1992. The actual date was April 22, 1992.

Mathematics and Sports L. E. Sadovskii and A. L. Sadovskii

This unique book presents simple mathematical models of various aspects of sports, with applications to sports training and competitions. Requiring only a background in precalculus, it would be suitable as a textbook for courses in mathematical modeling and operations research at the high school or college level. Coaches and those who participate in sports will find it interesting as well. The lively writing style and wide range of topics make this book especially appealing.

1991 Mathematics Subject Classification: 92; 90 ISBN 0-8218-9500-1, 152 pages (softcover), December 1993 Individual member $24, List price $40, Institutional member $32 To order, please specify MAWRLD3/NA

All prices subject to change. Free shipment by surface: for air delivery, please add $6.50 per title. Prepayment required. Order from: American Mathematical Society, P.O. Box 5904, Boston MA 02206-5904, or call toll free 800-321-4AMS (321-4267) in the U.S. and Canada to charge with VISA or MasterCard. Residents of Canada, please include 7% GST.

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ORDINARY MEMBERS Yurii Ivanovitch Shokin, Russian Bowling Green State University California State University, Long Daniel J Albrecht, Lansdale, PA Academy of Sciences, Shawn Michelle Danesi Bear:h Shanti Bajracharya, Kathmandu, Novosibirsk, Russia Bing Biao Fang Yontha Ath Dennis G Smoot, Chicago, IL Nepal Mary Michelle Flint Central Michigan University Zbigniew Antoni Banaszak, Kuwait Naza Tanovic-Miller, Mathematical Reviews, Ann Arbor, MI Ingrid S Gemtz Yunus MAli Oiliv, Satat Thomas E Hintichs Biian David Clru.·k Malia Concepcion Bielza Lozoya, John C Weisenfeld, Bremen, Karen Chlistine Lee Vitoon Harusadangkul Univ Polytechnic of Madtid, Germany Clarke C Wellborn, Brevard College, Spain Rick Thomas Mullins Joy Nichole Jurado NC Pien·e Bolli, Le Vaud, Switzerland Timothy William O'Neil Dan A Long Chak Fu Jeff Wong, Red Deer, Daryl Richard Brydie, Petersburg, Pavankumar B Palle Jay Josef Nyzowyj Albe11a Canada VA Mru.·garet E Rosasco Chuntao Chlis Wu, Pennsylvania Howard L Sanders Kevin T Rowley Glenna M Caliendo, West Hentietta, State Univ, Monaca Peter Saveliev NY Tzu-Yi Yang, Hilliard, OH Sandra Grace Smith Xiaowei Sun Samwel Dalalyan, Yerevan, Almenia Mary Ellen York, Sanford, FL Jennifer Rose Sponseller Susan A Thurmer Bharat Thakarshi Dodia, Essex, Claremont Graduate School England Kewei Yang Martin J Ambrose Igor I Ezhov, Kiev, Ukraine Brandeis University David Atwood Bliss Adam John Hamson, Univ of New Anna M Shubina Michael R Donnelly Orleans, LA RECIPROCITY MEMBERS Mao-Pei T.~ui Paula Chlisty Heighton, William C Stephen Habeling Australian Mathematical Society Brigham Young University Brown Publishing, Dubuque, IA Janet Ellen Hierath-Klose Barry D Jones Nickolas S Jovanovic, Hamden, CT D Shane Brewer Gilbe11 Everette Lewis Jacqueline R Kidwell, Arlington, VA Deutsche Mathematiker-Vereinigung Reynold E Byers John P Sepikas Hans-Peter Kruse, Albany, CA e. V. Michael James Cannon Clarkson University Frank Oe1tel Vladimir Sergeevich Ladyzhets, Jared Brough Dorny Mark Howru.·d Sauther Miami, FL Wolfgang Soergel Eiic D Stemmons Miguel Angel Lerma, Austin, TX Colorado College London Mathematical Society Brown University Thomas J Liu, Lebanon Valley Sandra K Gilpin John R Hunton Robert Laurent Benedetto College, Annville, PA Colorado State University Mathematical Society of Japan Mike A Manning, Willowick, OH Zhiyi Chi Lance Brannen Gibson Jun Kigarni Jacinto Ramon Martin Jimenez, Univ Daniel Lewis Dreibelbis Thomas C Grallam Polytechnic of Madrid, Spain Baba Kiyoshi Constantinos Evangelinos East Carolina University Caballero Alfonso Mateos, Univ Hiroaki Nakamura Sigal Gottlieb Patricia Boyd Flynn Polytechnic of Madtid, Spain Hidenoti Naoe Jean Michelet Jean-Michel Emory University Joan Hosdowich McCru.ter, Arizona Mathematical Society of the Kevin G Kochanek State Univ, Tempe Igor L Lomtev Philippines Latisa Matejic George P McCrevan Jr, Quincy, MA James I Matthews Milagros Navarro Lawrence Morales Isabel Dotti Miatello, National Univ Allison Michelle Mitchell Societe Mathematique de France David Peter Nicholls of Cordoba, Argentina Chandra S Owens Jean Bernard Lasserre Ottavio Giulio Rizzo Harry Ira Miller, Univ of Michigan, Serger Sergeevitch Pilyugin Ann Arbor Sociedade Portuguesa de Matematica Chlistopher Nils Robertson Andrej Pawel Woloszyn Viacheslav V Nikulin, Steklov Ana Ctistina Matos Dailun Shi Fairfield University Institute of Mathematics, Adam Abraham Szpiro Moscow, Russia Shannon K Latham Timothy C Warbwton Steven Jon Olson, Tucson, AZ George Mason University Liping Wei Matio H Pena, Jackson Heights, NY Aamer Ikram Haque Joseph W Renfield, New York, NY NOMINEE MEMBERS Rachel L Wright Georgia Inst of Tech Konstanze C Rietsch, Vienna, California Inst of Tech Adelphi University Sherti Dahlonega Burgman Austtia Patrick James Wallach Darren G Crowdy Malia Do Carmo Carbinatto Emmira Shannon, West Columbia, Donal A Gallagher Auburn University Wamyang Dai sc lnglid Daniette Monnier Xianliang Shi, Texas A&M Univ, Luis G DeLucia Erin L Dietsch College Station Elena D Volodkovich Dawn Po-Ling Tse Lingxiu Dong

FEBRUARY 1994, VOLUME 41, NUMBER 2 153 New Members of the AMS

Tonya Evete Glover Kokilarani Govindarajan Chris A Moore Queen's University Chenita Dionne Hampton Piotr Pawlowski Larry Dean Risinger Jr Thomas W Cook Kevin Winton Haulk Saye Lakshmi Subramanian Chris Alan Searcy Todd J Deery Mattias Peter Hayer Jason R Vingle Mark Sprinkle Steven Todd Gamble Jonathan A Huff Lafayette College Yajni Madhu Warnapala-Yehiya Christos Dirnitrios Prodanos Arthur lgnatiadis Ashish Bhan Stuart Eugene Wilber Matthew Donald Sullivan Jochen Katz Louisiana State University, Baton Eric M York Lei Zhang Demetrio Labate Rouge North Carolina State University Rensselaer Polytechnic Inst Trevis J Litherland Boris Baeumen Kendall Robert Bailey Mohammed Alffa Patricia L Michel Vickie Guillot Flanders Deborah Lee Bergin Anne Marie McEntee Walter R O'Connell Jr Dustin Alexander Hite Michael William Buksas Philip Niel Plummer Hope Caroline Peeples Nicole R Johnson Tony D Choi Rice University Jason Randolph Smith Jaehoo Park Kim David E Jones Kenneth Jude Conner Greg M Watson Meinard Muller Christopher Mark Lyerly Nancy E Cmmingham Goucher College Jesus Alberto Pascal Rachel Ann McVey Christopher Ryan Hawkins Lisa A Bloomer Yu Zhuang Cynthia Joan Musante Amy M Noel Lampazzi Harvard University Maharishi Internatl University David S Torain III SUNY at Buffalo James Alan Bernhard Amir Sehic Zhiping Yang Mark A Bozenhard Joshua M Lansky Mankato State University Northeast Missouri State University Andrew E Davidson Seth Padowitz Ningfang Qian Ronald S Trimmer Marian Gidea Adi R L Pandya Marquette University Rui Miguel Saramago Michael A Roth Northern Arizona University Allison Arlene Eskritt Pantelimon Stanica James Turetsky Barry J Wimmer Borong Zhou Chin-Lung Wang Memphis State University Northwestern University Mu-Tao Wang Unyong Pyo John Michael Alongi SUNY, College at Geneseo Lara J Nary Indiana State University Michigan State University David Scott Richeson Darlene M Olsen Shiaolin Li Xing Li Nathan A Schwartz Feng C Lin Thomas Lynn Scofield Scott L Thatcher Santa Clara University Seow Peh Seah Millersville University of Pa Thy Minh Tran Lara Noelle Courtice Narendranath Yendluri Colleen Brensinger Oberlin College Erin Elizabeth Fitz-Gerald Eric A Madia Indiana University at Bloomington Jennifer D Fritz Daniel R Krashen Nancy K Nakatani Anirnikh Biswas Allan Lamar Kauffman Ohio University Derek John Purdy Cong Chen Larry F Wolpert Chan-Dong Kim Richard E Yenser Veerle Alexa Roelandts Theodore Sean Elicker Ohio Wesleyan University Shippensburg University of Pa XiangDong Guo Mississippi State University Joni E Baker Igor Mineyev Chad Edward Brown Donald L Black Oklahoma State University, Stillwater Noah J Stern Deepak Sahay Mary Ellen Sarvis David Robert Swanson Michelle Louise Stephen Aleksandr Brener Jennifer Anne Tuttle Ning Hu Yan Wang Montana State University Southeast Missouri State University Timothy J Maharry Xinzhong Wei Sharon Lynn Brown Stuart Conrad Swope Arvane Rydell Malone Yuhui Zheng Doreen N Dumonceaux Southern Illinois University at Mark A Thomas Iowa State University Darren D Dye Carbondale Amy K Ackerberg Santosh Pani Gautham Pennsylvania State University, Shinji Arai WenHu Jennifer Hope Gearhart University Park Young Rock Cha Naomi Alice Pegors James L Jacklitch Paul F Ford Mohamed Ahmed Deara You Wang Steven Matthew Lawrence Ping-Liang Lin Dawit Haile Lei Wu Hendrik A Mills Basil Nanayakkara Mitsuhiro Hoshino John Carroll University Lori Anne Pritchett Zachary S Tseng Khaled Hasan Hussein Carolyn Jeanne Lane William R Pursell Randy Jay Zauhar Palika J Jayasuriya Jane Marie Messerly Marie Helena Roer Linchu Zhang Colleen Kirk Kristen McDougal Stephens Murray State University Yin Zhang Jeffrey Allen McCreight Xiaojin Xia Julie Anna Fox Purdue University Francesca Murmura Kansas State University Steven Michael Fuqua Brian James Clever Nils Bernhard Weber Raymond B Cole Lana Pyle Jennings Ying Feng Fungeng Wu Sarah V Cook Trena Gail Walters Yangsuk Ko Southern Illinois University, Scott R Johnston National Security Agency Yong Lu Edwardsville Robert Wilson Kim Donald M Bunt Maria E Miles Owen Lee Bradley Katherine L Reid Naval Postgraduate School Lorinda Ann Murphy Cynthia Ann Krieger Anatoly A Mylnikov Kimberly J Shryock Archie Wilmer ill Southern Methodist University Melvin Glen Royer Kean College of New Jersey New Mexico State University, Las Andrea Kay Crossett Ram Kumar Seshadri Rebecca Cecilia Dawkins Cruces Kevin John Endres Erik Michael Varness Emanuel Emanouilidis Diane Marie DeSantis Todd Dewitt Fortenberry Daoqi Yang Kent State University, Kent Kristofer David Jorgenson German Gonzalez-Santos John Pablo Bes Catherine Anne Massey Shichun Zhang Donal Ray Johnson

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

Patricia L Landrum The Citadel University of Colorado, Colorado Elizabeth G Cox Malgorzata Anna Napierala Brian Keith Doelfel Springs Jon Gregory Daniels Southwest Missouri State University Kenneth Brian Kelley Fred H Huffman Brian Thomas Gill Brenda Evangeline Moyer Robert C Zyla James A Peugh Mechelle Dawn Hickerson Rebecca Lynn Nazaruk Trinity College University of Connecticut, Storrs Nancy M Killingsworth Southwest Texas State University Sherri Sharon Avery Alexei V Bourd Thomas Robert Kowalski Sandra Kaye Ryan Sharon L Fox Josip Derado Elizabeth Anne Krick LeRoy Irwin Valdes Adam Kyle Ondricek Joel D Derstine Bingkun Li Dirnitrios V Tzimos Patricia F Giurgescu Wendy Longmire St Joseph's University MarkO Leach Carl V Lutzer Matthew P Collins Tufts University Jacob Leonard Sisk John P McLarney Ross Andrew McCaslin Stevens lnst of Tech Xiaowen Zhou Jose A Ortiz Keith Mathew Neu Louis T Nocella Sinying Oon University Laval Chunying Wang Radhika Ramjee Roberto Paroni Marie-Claude Hardy University of Delaware Swarthmore College Karen Ann Petkinas Christiane Jacques Majid Benboucata Melanie Wertz Dawn T Pogve University of Arizona Maria Grace Meehan Syracuse University Douglas Alan Riley Sang YookAn Joanne E Rodricks Cornelia Beitzer Eric Scott Sanford Elizabeth C Hunke Yutong Wang Laura T Bemhofen Richard P Schennberg Marcel Oliver University of Georgia Raymond Kenneth DeCampo Gordon Alvin Schmidt Hortensia Soto-Johnson Catherine Arnold Sven Hasenfuss Colin Lee Starr Mathew J Wagner Scott David Corley Joseph Daniel Kaffko Peteris Daugulis Ronald F Vandenhouten Yea-Chyn Liu University of Calgary Kathleen W Farmer Wendy Ann Weber Helmut Locher Kevin Collings Jon F Grantham Joy D Williams Linda L Long Hemed Kalfan Hemed Kedrick Hartfield Katherine Elaine Williams Preety Nigam Hong Li Daniel Lee Wilson James Blair Stallard Sue W Henderson Aditya G Oomman Martha A Hogan University of Lethbridge Richard J Petta University of California, Davis Yakov Keselman Jun Mai Paul Henry Andre Jahangir Rahman Paul Thomas Lupica L Nicole Wilson N elissa Alice Rutishauser James Lloyd Auld Margaret L Morgan University of Louisville Max Minh Tran Troy Toshio Chinen Aaron K Wheeler Christopher N Baunach Jodi B Cohen Fink Texas A & M University University of Hawaii Jeffrey R Friend David P Benzel Robert Lawrence Crawford Alisa Louise Elmore Tatsuya Nagai Elizabeth Ann Keck Philip Brown JohnnyRSena Robert Raymond Muise Ann-Catrine Astrid Evans University of Idaho Thomas E Farris Charles H Newbedg University of Massachusetts, Amherst Texas Tech University Michella R Hopkins University of Illinois at Alison B Calderara Ana Paula Chamon Mikala Leschly Urbana-Champaign Panagiotis Christias Yujie Chui Jorge Enrique Pinzon Ria M G Faylona Apelo Kimberly A Cole Maria R Coderko Elizabeth Selvamani Arul Scott K Cooper Phyllis J Cormier University of California, Riverside Rex Valde Belleza Volker Ecke Paul Eugene Dacus Sean D Drake Ya-Chen Chen Alane Susan Ferland Benjamin Sanchez Duran Jr Andrea Haidorfer Steven R Elliott Hannia L Gonzalez Thomas J Eckert Lior Kadosa Jeffrey Ho Jie Huang Amber D Fox Jaime Alberto Londono Sen-Shan Huang Ralf Uwe Huber Enamul Hoq Michelle Louise McBride Jeongheung Kang Benjamin G Jones Manjula Buddharpriya Kottegoda Dmitry Valerievitch Nikolenkov Dong-11 Kim David Kongo James Robert LaGrone Alexander N Shumakovitch Hak-Jin Kim David C Lutterkort Pamela R Lockwood Alexey Alexeyvich Solovyov Peter K Kwok Laura E Marshall Siyuan Lu Joseph Charles Vasta Alan Parr Leslie Kathleen Mangan Lih-chung Wang Dianna L Mines Edward C Mosteig Yuling Qu Michael J Metler University of Chicago Martin William Scott George Scarmoutzos Christopher G Mourow Bruce Pirooz Ayati Vladimir Georgievich Troitsky David R Slauenwhite Christine Louise Nagy David M Fisher Carren Senn Walker Paul W Swaida David Patrick Noga Karl B Glasner Belinda Ann Petersen Jeffrey R Greco Nicola Susan Whitley University of Miami Ralph Leonard Wojtowicz Paul D Pierce Christopher Hallstrom Alexander Bentsionovich Gindes Sudassana Ponweera Thomas P Hayes University of Kansas University of Minnesota-Minneapolis Stephen David Robertson Kristin Lauter Lewis W Biscamp Sean Patrick Boyd Roger B Schuster Evangelos Mouroukos Michael Stefan Foul Brandon Scott Brown Michael J South Martin Pergler Suk Hyung Lee Timothy Gerald Brule Kristin J Sumpter Jennifer Taback Stacey T Longmire Michelle M Haines Ramesh Tharoor Janine Wiltwer Peter John Zimmer Kendra S Killpatrick John Robert Tomlinson Christopher Witteman University of Kentucky Satish Kumar Krishnamurthy Kenneth Don Williams University of Colorado, Boulder Abdulrakhim Aitbayev Ann Kathleen Lane Zaichao Xu Andrea Gellissen Christopher Anthony Aubuchon Julia Ivanovna Liakhova

FEBRUARY 1994, VOLUME 41, NUMBER 2 155 New Members of the AMS

Monica Lluis Arroyo University of North Dakota, Grand Milagros J Rivera Mary Catherine Hughes Martin O'Hely Forks Alejandro Sanchez Byron Frank Hurley Svetlana Y Rudnaya Timothy Robert Stroth University of Rhode Island Yaqing Li Colin M Springer University of Northern Iowa Erin Elizabeth Kannnann Yi Ling Tai-Peng Tsai Douglas J Baker Myrna A Larosa Mingjun Liu Hans Ulrich Walther Lynn Olson Brarnman University of Rochester Ivan D Loy Xiangrong Yang Lei Song Kelly Anne Butler Shieh-Shun Fu Sangkug Yi Shaochang Wo Richard Raymond Davis University of South Carolina Yu Yuan Lloyd G Fredericu Utah State University Gerald W Baygents Luis Alberto Yunes Kristin W Gable Matias Gobena Rishiparwa Rehana Patel Alvina Maria Johnson Martin Juras University of Missouri-Kansas City Anita Szombathelyi Jo Ann DePugh Maize R Micek David A Sui George Neel Taylor Fwoit Kardos Robert Abran Mills VPI & SU University of Southern Mississippi Peter Harris McCandless Kristi Jean Snider Graciels M Cerezo Lenwaski 0' Shay Campbell Richard David Schmid University of Notre Dame Kimberly Lee Drews Vanderbilt University Anna YUy Alexandru N Bumbacea Robert K Eddins Matthew John Buyert Mark Thomas Williams Yamin Huang David Jay Hebert David William Roach University of Missouri-Rolla University of Oregon Bethany Kay Selmer Wake Forest University Pamela Vemetta Clayton Stefan Baratto University of Tennessee, Knoxville Karen Denise Hesson Joseph Shawn Crawford Christopher Jude Brazfield Qingping Deng Christa Catherine Hu1s David Lee Enke Thomas Balelzebub Cassidy Holly Denise Gaff Julie Rae Reulbach John N Jay Jason Auguste Schwartz Charlotte A Knotts Richard A Witt Cheryl Lyn Jernigan Feng Ye Dennis C Nielsen II Washington & Lee University Lori Ann McAdoo University of Ottawa Derek Evan Prowe Michael Scott Covey Kimberley Ann Nigl Caroline Anctil Matthew M Koerlin Beibzi Xu University of Texas at Austin Teresa Gay Bates Sharon Louise Casteel Heather M Leonard University of Missouri-Sf Louis Cristian-Mihail V Dianu Yung-Ming Chang Jennifer A Yanu1avich David Mulawa Jianbo Du University of Texas at Dallas Washington State University Peter R Politi Julie Girard Grigory Eugenievich Kanevsky Michael Dean Antila Roy Roatcap Kenneth Douglas Grant Souren Soumbatiants Lisa M Taddeucci University of Montana Seyed Mehdi Tashakkori Haserni Washington University Robert Nelson Baker Nadine Labreche University of Utah Eric David Sinzinger Shaohua Chen Elisabeth E Neusy Thomas M Huggins Michael Allen Lundiu Dean Alan Slonowsky MinXie Wayne State University Srinivas V Mondava Jianzhong Wang University ofVermont Hassan Ahmad Bazzi William J Husen University of N C at Chapel Hill University of Pennsylvania Stephen C Featherstonhaugh Jae-Chun Kim Kimberly J Collins Adnan I Ansar Cheryl Dulabaum McQueen Ian Scott Pagano Boris A Knysh University of Nebraska-Lincoln Alexander Burshteyn Qingguo Liu Daryl C Bell Jason H Cantarella University of Waterloo Bashkim Zendeli Aree K Bly David L Homer Claire Bilodeau Western Washington University Paul T Dawkins Amy E Ksir Anthony Bonato Gregory J Cook Brenda Lynn Herzinger Yaukov M Mandelbaum James Andrew Grahame Catherine E Crurn Lisa M Johnson Robert C Masenten Gregory John Speakman Hans G Goertz Robert J Krueger Yong Ouyang Rashrni S Sunder-Raj Todd Loren Lengacher Kevin John Potratz Drnitriy Yurievitch Radionov University of Wisconsin, Milwaukee Ian Akira Miwa Dan Dean Van Peursem Paul Spirito Darshan Singu Grewal Gary Gorton Parker Akihiro Yamamura Ning Yan Daniel Francis Knopf Chao Yang Liam P Price University of Nevada, Las Vegas Alejandro Saldivar Chia-Fu Yu Katie Stables Niki M Anagnostopoulou Ralph Eugene Svetic Lei Zhang Youngstown State University Angela M Starr Julia Maria Wilson University of Puerto Rico, Mayaguez Christina T Tsiaparas-Plazornites University of New Mexico University ofWyoming Marcial Delgado Christopher Stuart Inbody Michael Joseph Crone Luz Nelly Rios-Vanegas Ann M Kaul Joel Surnio Hayano

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SUGGESTED USES for classified advertising are positions available, books or lecture notes for sale, books being sought, exchange or rental of houses, and typing services. .A.RkANSAs . THE 1994 RATE IS $70 per inch on a single column (one-inch minimum), calculated from the ...... ,...... top of the type; $40 for each additional I6 inch or fraction thereof. No discounts for multiple ads or UNIVERSITY OF ARKANSAS the same ad in consecutive issues. For an additional $10 charge, announcements can be placed at Little Rock anonymously. Correspondence will be forwarded. Advertisements in the "Positions Available" classified section will be set with a minimum Department of Mathematics one-line headline, consisting of the institution name above body copy, unless additional headline and Statistics copy is specified by the advertiser. Advertisements in other sections of the classified pages will The University of Arkansas at Little Rock in­ be set according to the advertisement insertion. Headlines will be centered in boldface at no extra vites applications for a tenure-track Assistant charge. Classified rates are calculated from top of type in headline to bottom of type in body copy, Professor position starting Fall 1994. Applicants including lines and spaces within. Any fractional text will be charged at the next I6 inch rate. Ads must hold a Ph.D. in mathematics and have will appear in the language in which they are submitted. a strong commitment to teaching. Preference Prepayment is required of individuals but not of institutions. There are no member discounts will be given to those candidates with active for classified ads. Dictation over the telephone will not be accepted for classified advertising. research programs in one or more of the fol­ DEADLINES are listed on the inside front cover or may be obtained from the AMS Advertising lowing fields; differential equations, analysis, Department. computational mathematics, mathematical biol­ U. S. LAWS PROHIBIT discrimination in employment on the basis of color, age, sex, race, ogy. Outstanding applications in other fields will religion or national origin. "Positions Available" advertisements from institutions outside the U. S. be given consideration. Salary commensurate cannot be published unless they are accompanied by a statement that the institution does not with qualifications. discriminate on these grounds whether or not it is subject to U. S. laws. Details and specific Send resume, transcripts, and three letters wording may be found near the Classified Advertisements in the January and July/August issues of reference to: Dr. Alan M. Johnson, Chair of of the Notices. the Search Committee, Department of Mathe­ SITUATIONS WANTED ADVERTISEMENTS from involuntarily unemployed mathematicians matics & Statistics, University of Arkansas at are accepted under certain conditions for free publication. Call toll-free 800-321-4AMS (321-4267) Little Rock, 2801 South University, Little Rock, in the U.S. and Canada, or 401-455-4084 worldwide, for further information. Arkansas 72204-1099. SEND AD AND CHECK TO: Advertising Department, AMS, P. 0. Box 6248, Providence, Applications received before March 1, 1994 Rhode Island 02940. AMS location for express delivery packages is 201 Charles Street, will receive full consideration. Providence, Rhode Island 02904. Individuals are requested to pay in advance, institutions are not The University of Arkansas at Little Rock is required to do so. AMS FAX 401-455-4004. an equal opportunity affirmative action employer and actively seeks the candidacy of minorities, women and persons with disabilities. Under POSITIONS AVAILABLE for appointment as Professor or Associate Pro­ Arkansas law, all applications are subject to fessor of Mathematics or Statistics. Significant disclosure. administrative and leadership skills, experience :,· .. . .: . :.···~· ·. ·.. : :·.~ ALABAMA in processing government or private agency -~·.:· ::·:-::~.::::-········ . ··-··-·-············· ::-~··::~:~:::::::·:~·:: funding, and commitment to supporting re­ UNIVERSITY OF ALABAMA search and maintaining a suitable environment for quality instruction are required. The Mathematical Sciences Department of the The University of South Alabama is located University of Alabama in Huntsville invites ap­ in the greater Mobile area and its enrollment plications for an anticipated tenure track faculty currently exceeds 12,500. The 27 full-time fac­ position beginning in September 1994. Rank ulty (19 mathematicians and 9 statisticians) of Subject to the availability of funding, one tenure and salary will depend on the credentials of the the Department participate in undergraduate track teaching position in mathematics at the as­ appointee. A Ph.D. in mathematics or related degree programs in mathematics and statistics sistant professor level, salary dependent upon field with emphasis in applied mathematics, and a masters degree program in mathematics. qualifications. Doctorate in Mathematics or re­ evidence of good teaching skills, and excel­ A wide variety of service courses for other disci­ lated field and expertise in ordinary, partial, lent research ability are essential. Preferred plines on campus is provided. The Department and/or stochastic differential equations and their specialty areas include discrete mathematics, has a history of strong commitment to quality applications to modeling required. Evidence of mathematical modeling, fluid dynamics, differ­ teaching and is strengthening its position as a potential for excellent teaching and scholarly ential equations, numerical analysis, and prob­ research unit. research required. Closing date 3/30/94; posi­ ability/statistics. Send letter of application, vita, Applicants must submit a letter of application tion starting 9/94. Cal Poly Pomona is actively and three letters of reference to M. H. Chang, and a detailed resume, and must arrange to seeking to maintain its heritage and identity Chairman, Mathematical Sciences Department, have at least three current letters of reference as a comprehensive center of education that University of Alabama in Huntsville, Huntsville, sent by April 1, 1994, to: serves a dynamic, multicultural region (with AL 35899. Review of applicants will begin March Screening Committee 58% ethnic minorities). For additional informa­ 14, 1994, and continue until the position is filled. Department of Mathematics tion or to apply, contact: Search Committee, The University of Alabama in Huntsville is an and Statistics, FCS 3 Mathematics Dept., California State Polytechnic affirmative action, equal opportunity institution. University of South Alabama University, 3801 W. Temple Avenue, Pomona, Mobile, AL 36688 CA 91758-4033. 909-869-3467. EOE/AA 205-460-6264 UNIVERSITY OF SOUTH ALABAMA The University of South Alabama is an Af­ firmative Action, Equal Opportunity Educational Chairperson Institution. M/F/D PALOMAR COMMUNITY COLLEGE Department of Mathematics and Statistics Palomar Community College, San Marcos, Cal­ ifornia seeks a full-time, tenure-track Mathe­ Applications are invited for the position of matics Instructor to begin August 14, 1994. Chairperson of the Department of Mathematics For application and position announcement call: and Statistics. Starting date for the position is 619-744-1150 or 727-7529, ext. 2247. Other September 1, 1994. Applicants must have an materials required prior to February 25, 1994, earned doctorate, a successful record of teach­ include: letter of application, resume, list of math ing and published research, and must qualify courses taught and dates last taught, confiden-

FEBRUARY 1994, VOLUME 41, NUMBER 2 157 Classified Advertisements

tial placement file or 3 letters of recommendation dents and graduates 25 mathematics majors and official transcripts. EO/AAE each year. Applications will be accepted at any time, ASSUMPTION COLLEGE but applications received before February 28 will be given first priority. Applicants should Math· faculty, Assumption College. Full-time, forward a curriculum vitae, graduate transcripts, tenure-track, teaching undergraduate 12 hours and three letters of reference to: Chair of (3 preparations). Begins September 1994. Ph.D. Search Committee, Department of Mathematics :::-~:::~:,:::,:~::£2~:~~:~n£YI:--,:::::_c_,,_, and teaching experience preferred, some com­ and Computer Science, Calvin College, Grand puter science desirable. Candidates must sup­ TRINITY COLLEGE Rapids, Ml 49546. Inquiries may be sent to port the Catholic, liberal arts mission of the the address above or via electronic mail to Director of Mathematics Center College. Salary and rank negotiable. Excellent [email protected]. Calvin College is an equal benefits. Send letter and resume by March Trinity College seeks Director of its AEtna Math­ opportunity employer. 1, 1994, to: Dr. Vincent Cioffari, Assumption ematics Center to administer operations, staff, College, 500 Salisbury St., Worcester, MA and budget; to support the Mathematics De­ 01615-0005. An Equal Opportunity Employer. partment's statistics, precalculus, and calculus offerings; and to oversee the Center's commu­ OAKLAND UNIVERSITY nity outreach activities. Responsibilities include Department of Mathematical Sciences supervising required undergraduate proficiency COLLEGE OF THE HOLY CROSS examination and related courses, developing The Department of Mathematical Sciences at compensatory programs, and teaching two or Worcester, Massachusetts Oakland University invites applications for a three courses per year. Precalculus teaching Tenure track appointment beginning in Septem­ possible tenure-track position at the rank of experience in secondary school, community ber 1994 is available for a Ph.D. mathematician Assistant Professor in the area of applied college, or collegiate setting required. Ph.D. or interested in teaching at an undergraduate lib­ discrete mathematics. Ed.D. in mathematics or mathematics education eral arts college. Strong commitment to teach­ Responsibilities of this position include preferred, but waived in cases of extensive ing and research is required. Preference will be teaching, research, and contribution to the experience; statistical computing and adminis­ given to candidates in the fields of global analy­ department's collaborative efforts with· industry. trative experience also desirable. Appointment sis, mathematical physics, differential topology, Candidates must have a Ph.D. in mathematics date July 1, 1994, for three-year renewable and geometry. Teaching load is three courses or a closely related discipline (or its requirements term. Salary competitive. Send cover letter, vita, each semester. Salary is competitive. Fringe completed) by August 15, 1994. Preference will statement of educational philosophy, and three benefits include TIAA-CREF, medical, dental, be given to applicants with strong research po­ letters of reference (at least one addressing and life insurance plans and generous sabbati­ tential in applied discrete mathematics. Ability candidate's teaching) to: cal and faculty fellowship programs. to interact with local industry is highly desirable. Dean John S. Waggett Holy Cross is an affirmative action/equal op­ Please send a vita and transcripts, and ar­ Trinity College portunity employer. Women and minorities are range for three letters of reference to be sent Hartford, CT 06106 encouraged to apply. Applications, including re­ to: Chair of the Applied Discrete Mathematics Review of applications begins February 15, sume, undergraduate and graduate transcripts Search Committee, Department of Mathemat­ 1994. and three letters of recommendation evaluating ical Sciences, Oakland University, Rochester, Equal opportunity and affirmative action teaching and scholarship should be sent to Michigan 48309-4401. Review of applications employer. Women and minorities especially David B. Damiano, Chair. Deadline for Applica­ will begin on March 1 , 1994. encouraged to apply. tions: February 1 , 1994. Representatives of the Oakland University is a public institution Department will attend the Joint Mathematics with approximately 13,000 students enrolled Meeting in Cincinnati and will participate in in baccalaureate, masters, and doctoral pro­ the Employment Register. We expect to invite grams. Oakland University is an Affirmative candidates to campus for interviews beginning Action/Equal Opportunity Employer and espe­ in early February 1994. cially encourages applications from women and minorities.

BOWDOIN COLLEGE Brunswick, Maine 04011

":;:'~'~::z::t~~!:::,::::;:·r:::s~::·:.:;:-·;:,;;;~;;:,;:~NirN"N'EsOTA;'<'.i~&.ir.llil~il<.~Woliilil'-=--~ Mathematics Department: Tenure-track Assisant Professorship in applied mathematics starting CALVIN COLLEGE o:~.-:s-"·~:·:1 ;_,-~::::L.~---~,.C'~;..:::;_,~~-~--~xr.~~s.!'--.:.1~':..2:;,"!_,".;:=.,.i..,.:t.i=·-'1l"~-~~~1%'!tii~~ Fall 1994. Initial appointment for three years Department of Mathematics UNIVERSITY OF MINNESOTA, MORRIS with renewal possible. Possibility of second, and Computer Science Division of Science and Mathematics non-tenure-track position-field open. Ph.D. re­ quired and strong research record or potential The Calvin College Department of Mathematics Mathematics: Tenure-track position at Asso­ . expected. Normal teaching load is two courses and Computer Science expects to have from ciate Professor or Professor level in mathemat­ per semester. Candidates with record of effec- two to four openings for new faculty members ics begins September 16, 1994. Duties: teach tive undergraduate teaching preferred. Review beginning in the fall of 1994. One opening will undergraduate mathematics, pursue research, of candidates begins 1 January,. but applica­ be a regular, tenure-track opening in statistics. and share in service activities. Minimum quali­ tions will be considered until position is filled. There will also be one or two temporary fications: Ph.D. in mathematics and five years Send resume and 3 letters of recommenda­ openings in mathematics to replace faculty undergraduate teaching experience. Applied tion to James E. Ward, Chair, Department of members who will be on leave. In addition, mathematicians are especially encouraged to Mathematics, Bowdoin College, Brunswick, ME there may be a temporary opening in Computer apply. Send letter of application, resume, of­ 04011. lnclude_e-mail address. Bowdoin College Science. Candidates for all positions must ficial transcript, and three letters of reference is committed to equal opportunity through affir­ have a strong commitment to undergraduate to: Dr. M. Korth, Chair, Division of Science mative action. Women and members of minority teaching and to scholarship. A Ph.D. in statistics and Math, University of Minnesota, Morris, MN groups are urged to apply and invited to identify is required for the statistics position. 56267-2128 to arrive by February 28, 1994. The themselves as such. Calvin College is a Christian liberal arts col­ University of Minnesota is an equal opportunity lege in the Reformed tradition. It is owned and educator and employer. operated by the Christian Reformed Church. Calvin College enrolls approximately 4,000 stu-

158 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Classified Advertisements

1994. CUNY is an Equal Opportunity/Affirmative The College occupies a 240-acre, contempo­ NE~~~~$Ey········· Action Employer. rary campus in the pleasant village of Potsdam. Located 20 miles from the St. Lawrence River RICHARD STOCKTON COLLEGE in Upstate New York, Potsdam is close to Lake OF NEW JERSEY Placid and the Adirondacks and an hour and a POLYTECHNIC UNIVERSITY half from Ottawa and Montreal. MATHEMATICS: The Richard Stockton Col­ Department of Mathematics Potsdam College is an equal opportunity lege of New Jersey seeks a full-time Instruc­ affirmative action employer committed to excel­ We anticipate at least one tenure track assistant tor/Assistant Professor in well established, in­ lence through diversity. novative interdisciplinary curriculum (starting professor position beginning September 1994. date, Sept. 1, 1994; tenure track position). Candidates must have a record of excellence Teaching experience and Masters in relevant and commitment to research, teaching, and area required for Instructor ($26, 184-$30,11 0). service. Preference will be given to candidates Teaching experience and doctorate in relevant whose research is in geometric analysis or in area required for Assistant Professor ($31 ,828- areas related to strengths in other departments ...... $36,603). Evidence of experience in innovative at Polytechnic. Preference will also be given t-.19Rtti¢ARQ"iNA. math teaching and of commitment to math to candidates with experience in the teaching skills enhancement required. Salary may be and development of precalculus and calculus WAKE FOREST UNIVERSITY higher depending on qualifications, experience, curricula. A Ph.D. in mathematics is required. Department of Mathematics and increases in the New Jersey Higher Ed­ A letter of application, vita, description of and Computer Science ucation Compensation Plan. Screening begins research and teaching experience, and at least February 25, 1994. Send letter of application, three letters of recommendation on both re­ Applications are invited for a position as In­ resume, and three letters of recommendation search and teaching should be sent to: structor or Visiting Assistant Professor in Math­ to Dr. G. Jan Colijn, Dean of General Studies, Search Committee ematics. The term is one year, renewable for The Richard Stockton College of New Jersey, Department of Mathematics up to three years. Rank is dependent upon AA75, Pomona, New Jersey 08240. Stockton Polytechnic University qualifications, and a Master's or Ph.D. degree is an AA/EOE. Women and minorities are Six Metrotech Center in Statistics or Mathematics is required with encouraged to apply. R402578 Brooklyn, NY 11201 preference being given to holders of a statistics EOEIAA degree for this position. Duties consist only of teaching three courses per semester. A strong interest and preparation for teaching introduc­ WILLIAM PATERSON COLLEGE tory statistics and calculus is desirable. The POTSDAM COLLEGE department has 22 members, offers a B.S. and Mathematics Department Assistant Professor M.A. in mathematics, and a B.S. and M.S. in One tenure-track position in statistics at the Potsdam College of the State University of computer science. Send a letter of application Assistant Professor level beginning Septem­ New York invites applications for two full-time and resume to Richard D. Carmichael, Chair­ ber 1, 1994. Must possess Ph.D. in statistics. temporary positions in math for the 1994-1995 man, Department of Mathematics and Computer Strong evidence of commitment to quality un­ academic year. Responsibilities of the positions Science, Wake Forest University, Box 7388, dergraduate teaching and on-going research are to teach twelve hours per semester of Winston-Salem, NC 27109. AA/EO employer. program are essential. Computer facilities are undergraduate and first year graduate courses. available for teaching and research purposes. Required qualifications are a Ph.D. in any area Salary is dependent upon background and ex­ of math with experience in teaching begin­ perience. Letter of application, curriculum vitae ning undergraduate math courses preferred. and three letters of reference concerning teach­ A strong interest and preparation for teaching ing and research abilities by March 1, 1994, undergraduate major mathematics courses is OHIO to Sandeep Maheshwari, Chairperson, Depart­ highly desirable. Application review will begin as ment of Mathematics, William Paterson College, received and continue until the position is filled. CLEVELAND STATE UNIVERSITY 300 Pompton Road, Wayne, NJ 07470. EOEIAA The department has 13 members and offers a Assistant Professor in Mathematics BA and an MA in mathematics. Send a letter of application, a vita, three letters of recom­ The Mathematics Department invites applica­ mendation describing teaching experience and tions for a tenure track position at the Assistant ...... •.••. N~WvoRk····· abilities, and a transcript (copy is ok) to Kerrith Professor level. Candidates must have com­ B. Chapman, Staffing Committee, Mathematics pleted a Ph.D. in a mathematical science by COLLEGE OF STATEN ISLAND Department, Potsdam College, Potsdam, NY the starting date and must have demonstrated 13676. a commitment to excellence in both teaching The College of Staten Island, a comprehensive Potsdam College is the oldest among the and research. Applicants must have research four year senior college of the City University thirteen arts and science colleges in the 64-unit specialization in one of the following areas: of New York (CUNY), invites applications for a State University of New York. A coeducational, applied statistics, applied probability, stochastic tenure-track position at the Assistant Profes­ primarily residential college with an enrollment processes, numerical analysis, wavelet the­ sor level in Mathematics beginning September . of approximately 4,500, it is among the 300 col­ ory. Applicants should arrange to have a vita 1, 1994. Requirements: A Ph.D. in mathematics, leges profiled in the second edition of Barron's and three letters of recommendation sent to a strong commitment to undergraduate teach­ Best Buys in College Education. Potsdam's cur­ Professor John J. Walsh, Department of Math­ ing, evidence of a well-balanced and productive ricular offerings include degrees in liberal arts, ematics, Cleveland State University, Cleveland, research program, and interest in teacher ed­ education, and music found in three schools: OH 44115. (Funding for this position is pend­ ucation programs in mathematics. Postdoctoral The School of Liberal Studies, The School of ing.) Starting Date: September 19, 1994. Salary: experience is highly preferred. Salary: Commen­ Professional Studies, and The Crane School of competitive. Deadline for applications: Febru­ surate with experience and qualifications. Send Music. As a member of the Associated Col­ ary 4, 1994. Minorities, women, and handi­ a letter of interest, current resume, statement leges of the St. Lawrence Valley, a consortium capped are particularly encouraged to apply. of research activities and plans, and at least comprised of St. Lawrence University, Clarkson Cleveland State University is an Equal Oppor­ three letters of reference to Dr. Ercument Oz­ University, Canton College of Technology, and tunity/Affirmative Action Employer. izmir, Chairperson, Mathematics Department, Potsdam, all located within ten miles of each College of Staten Island, 2800 Victory Boule­ other, the College has ready access to the vard, Staten Island, NY 10314 by March 15, resources of these institutions.

FEBRUARY 1994, VOLUME 41, NUMBER 2 159 .. :.:.: ...... ·:· .· .•...... :.:~:~:·:·:· .. ~;~:.·· Classified Advertisements

CLEVELAND STATE UNIVERSITY THE OHIO STATE UNIVERSITY able research environment in terms of library Visiting Instructor/Assistant AT MARION and computing facilities, teaching load, travel Professor in Mathematics opportunities, etc. The Ohio State University at Marion has a The selection process will begin in February The Mathematics Department invites applica­ tenure-track opening for an Assistant Profes­ 1994, and continue until all positions are filled. tions for one or more visiting positions at sor of Mathematics, effective autumn 1994. A Women and minorities are strongly urged to the Instructor/Assistant Professor level. To be Ph.D. in mathematics is required. Candidates apply. Successful candidates must meet Immi­ appointed as a Visiting Assistant Professor, in all areas of applied and pure mathematics gration Reform Act criteria. Applicants should candidates must have completed a Ph.D. in a are invited to apply. A strong commitment to submit a curriculum vitae and direct letters of mathematical science by the starting date. To · undergraduate teaching and to mathematical reference to: be appointed as a Visiting Instructor, candidates research is essential. The successful candidate James E. Jamison, Chair, Faculty must have a Master's Degree in a mathe­ will hold rank in The Ohio State University's Search Committee matical science and be well advanced upon Department of Mathematics. Department of Mathematical Sciences doctoral study in a mathematical science. Can­ Please send letter of application, vita, and Memphis State University didates must have demonstrated a commitment publication list to Professor Brian W. McEnnis, Memphis, TN 38152 to excellence in both teaching and research The Ohio State University at Marion, 1465 An Equal Opportunity/Affirmative Action Em­ and must be able to teach upper and lower Mt. Vernon Avenue, Marion, Ohio 43302-5695. ployer division undergraduate mathematics courses. Review of applications will continue until the Applicants must have research specialization position is filled. that is currently represented in the Department. The Ohio State University is an Equal Op­ Applicants should arrange to have a vita and portunity, Affirmative Action Employer. Women, three letters of recommendation sent to Profes­ minorities, Vietnam-era veterans, disabled vet­ sor John J. Walsh, Department of Mathematics, erans, and individuals with disabilities are en­ Cleveland State University, East 24th & Euclid couraged to apply. Avenue, Cleveland, Ohio 44115. (Funding for these positions is pending.) These positions are UNIVERSITY OF UTAH for the academic year 1994-1995 and are not University of Utah, Department of Mathe­ eligible for tenure. Starting Date: September PEN'N'sv'LvANIA"" ,,, ... ::::~::::.::.~:: .. :::::~~~::~~·~:::::::~:::.c::=:~::~:~:::~:::~:::::~:::::::::::.c::::::~::::::::~:~.:~::.:::.;.::~:::::~::z::::::::.::r,;;.-~~:::c~.. -:::::::::~:;:) matics, invites applications for the following 19, 1994. Salary range for Visiting Instructor is positions. Availability of positions is contingent MANSFIELD UNIVERSITY $29,000-$32,000. Salary range for Visiting As­ upon funding. sistant Professor is $32,000-$35,000. Deadline Mansfield University, Mansfield, PA, seeks to fill 1. One full-time tenure track appointment on for Applications: March 1, 1994. Salary open, a tenure track faculty position in mathematics the professorial level in mathematics applica­ application review begins April 1. Position open beginning August 1994. Doctorate in mathe­ ble to materials science. Applicants must have until filled. Starting Date: September 15, 1994. matics required for tenure. A person who has received their Ph.D. degrees prior to 1993. Se­ CSU is an Affirmative Action/Equal Oppor­ completed the necessary course work for the lection will be based on research and teaching tunity Employer. Reasonable accommodation doctorate (ABD) will be considered if a mutually ability. provided for disabilities. acceptable completion date can be established. 2. One C. R. Wylie Instructorship. The Evidence of successful teaching of collegiate term of this instructorship is one year, but it mathematics is also required. Send a letter of may be renewed for up to three years. It will application, resume, transcripts of all academic be awarded either to an incoming Instructor or work, and three current letters of recommenda­ to one of the Instructors already in residence DENISON UNIVERSITY tion by March 1, 1994. Direct all correspondence on the basis of ability and potential in teaching and research. The stipend is $38,000. Duties The Department of Mathematical Sciences an­ to: Position F-171, Human Resources Depart­ consist of teaching four courses during the three ticipates a two-year position with the possibility ment, G-1 Alumni Hall, Mansfield University, quarter academic year. for renewal at the level of Assistant Professor Mansfield, PA 16933. Please refer to Position F- 3. One or more visiting faculty positions of starting in Fall 1994. Eventual conversion to 171 in all correspondence. Mansfield University one year or less in any of the professorial ranks. tenure-track is likely. A doctorate (or ABO) in is an Affirmative Action Employer and encour­ Selection will be based on potential contributions mathematics is required. Ability to teach sta­ ages the applications of women, minorities, and to the department's research program and on tistics or "computer literacy" courses a plus, the physically and mentally challenged. teaching ability. but not required. A commitment to quality Applications for all positions will be accepted undergraduate instruction is essential. Duties until January 31 , 1994, or until all positions are include teaching three courses per semester filled. and continued scholarship. TENNESSEE Applications for any of these positions should Denison is a liberal arts college of about MEMPHIS STATE UNIVERSITY include curriculum vitae, bibliography, and three 1900 students located in a village of about letters of reference. (Instructorship applications 4000, twenty-five miles east of Columbus. The Department of Mathematical Sciences should also include an abstract of the thesis department offers B.A. and B.S. degrees in The Department of Mathematical Sciences in­ and either a list of graduate courses completed mathematics and in computer science. The vites applications for anticipated tenure track or a transcript of graduate work.) Visiting faculty department consists of nine full-time members. positions in mathematics, at the level of As­ applications should indicate the portion of the Send resume, transcripts of graduate work, sistant Professor, in the areas of probability or three-quarter academic year during which the and three letters of recommendation (at least dynamical systems. Candidates are expected applicant wishes to visit. Please send your ap­ one should address your teaching) to Professor to have strong research potential and to be plication to Committee on Staffing, Department Todd Feil, Chair, Department of Mathematical committed to excellence in teaching at all levels. of Mathematics, 233 JWB, University of Utah, Sciences, Denison University, Granville, Ohio Applicants must have a Ph.D. by September 1, Salt Lake City, Utah 84112. The University of 43023. 1994. Utah is an Equal Opportunity, Affirmative Action Applications should be made by February 1, The Department also expects to fill several Employer and encourages applications from 1994; applications beyond this date will be con­ visiting positions in mathematics, statistics, and women and minorities, and provides reason­ sidered until the position is filled. Denison is an computer science. Preference will be given to able accommodation to the known disabilities of Affirmative Action/Equal Opportunity Employer; those applicants whose research areas coincide applicants and employees. women and minorities are encouraged to apply. with the research interests of current faculty. The Department offers degrees at all levels including the Ph.D. and provides a very favor-

160 NOTICES OF THE AMERICAN MATHEMATICAL SOCIETY Classified Advertisements

Department of Mathematics, The University of tions will be considered until the positions are Melbourne, Parkville, Victoria 3052, Australia. filled. The University of Melbourne is an equal Bilkent University is an Affirmative Ac­ UNIVERSITY OF VERMONT opportunity employer and has a smoke free tion/Equal Opportunity Employer. Assistant Professor in workplace policy. Applied Mathematics TURKEY The Department of Mathematics and Statistics Bogazici University invites applications for a tenure-track assistant ENGLAND professorship in applied mathematics. Duties ·················- ...... Department of Mathematics include teaching two courses per semester, IMPERIAL COLLEGE Applications are invited for one or more po­ research in applied mathematics, and service (University of London) sitions at the rank of visiting Assistant Pro­ on departmental committees. Applicants should Department of Mathematics fessor beginning October 1994. Positions are have strong research credentials and possess for one academic year but extendable. Can­ the Ph.D. degree in applied mathematics or a Temporary Lectureship in Pure Mathematics (Ref: P/AMS) didates should have a Ph.D in Mathematics, closely related discipline with a research spe­ a strong research record, and commitment to cialty in an area compatible with the interests Applications are invited for a temporary lec­ teaching. Please send a letter of application of present faculty members. These areas in­ tureship in the Department of Mathematics, to (including e-mail address and fax number) and clude mathematical modeling in biomechanics, run from the beginning of October 1994, to the detailed resume to: BetOI Tanbay, Department of hydrodynamic stability and nonlinear waves, end of December 1996. Applicants should have Mathematics, Recruitment Committee, Bogazici and computational methods. Teaching expe­ research strength in Pure Mathematics; the field University, 80815 Istanbul, Turkey. rience is also desirabie. Preference will be of Number Theory is of particular interest to the Our university is an Equal Opportunity, given to applicants with strong modeling and Department. The successful applicant will be Affirmative Action Employer. computational backgrounds who can collabo­ expected to teach students in the Mathematics rate effectively with engineers and with physical Department and to provide service teaching to and medical scientists on research problems of other Departments within the College. interdisciplinary interest. Salaries will be within the lecturer's scale Applicants should send a vitae, descrip­ £13,601-.£25,107 p.a. plus London Allowance of tion of research, and three letters of reference .£2,134 p.a. to: Prof. Roger Cooke, Personnel Committee, Applications, with a CV, list of publications Research Mathematician. Ph.D. 1984. Full Department of Mathematics and Statistics, Uni­ and names of at least three referees, and a Prof. 1992 Institute of Mathematics, Ukrainian versity of Vermont, Burlington, VT 05401-1455. stamped addressed envelope for an acknowl­ Academy of Sciences. Specialty: Approxima­ Review of applications will begin March 1, 1994; edgement and further details, should be sent tions and Expansions, Theoretical Computer duties begin in the Fall Semester 1994. The by Friday 25 February 1994 (quoting reference Sciences, Functional Analysis. Other interests: University of Vermont is an Equal Opportu­ number given above) to: Prof. A. F. M. Smith, Fournier Analysis. Available now. Alexander nity/Affirmative Action Employer. Women and Mathematics Department, Imperial College, 180 Kushpel, c/o 7131 - 136 Avenue Edmonton, AB. members of other underrepresented groups are Queen's Gate, London SW7 2BZ; tel: 071- TSC 2K3 CANADA. particularly encouraged to apply. 589 5111 ext 5701; fax: 071-225 8361; e-mail: a. smi th@ic. ac. uk. PUBLICATIONS FOR SALE ...... AUStRALIA ...... UNIVERSITY OF MELBOURNE ...... tDRKi:Y MATH SCI PRESS, 53 Jordan Rd., Brook­ Department of Mathematics BILKENT UNIVERSITY line, MA 02146; 617-738-0307. Lie-Cartan­ Research Fellow Grade 1 (Temporary) Ehresmann Theory and Constrained Me­ chanics and Lie Theory, both by R. Hermann, Geometry and Topology Group The Department of Mathematics invites appli­ cations for visiting faculty positions at all levels $95. Next: C-0-R Generalized Functions and Applications are invited for the above position starting September 1 , 1994. The department Lie-Theoretic Numerical Analysis. funded by the Australian Research Council is particularly interested in candidates whose (ARC). The grant held by Prof. W. Neumann research interests are related to algebraic ge­ and Dr. C. Hodgson is for a project entitled ometry, algebraic topology, functional analysis, "Topology, Geometry, and Number Theory of or mathematical physics. However, outstanding 3-Manifolds". candidates from all areas of pure and ap­ Applicants should have expertise in hyper­ plied mathematics are invited to apply. Duties bolic geometry, low-dimensional topology, or include research and teaching at all levels. Wanted: Mathematical books, journals, reprints, number theory. A strong background in comput­ Salary is commensurate with background and ephemera. Contact R. K. Dennis, Math. Dept., ing is also desirable. The applicant must have a experience. White Hall, Cornell U., Ithaca, NY 14853-7901. Ph.D. or equivalent qualification. Bilkent is a private university located on Tel: 607-255-4027, FAX: 607-255-7149. e-mail: The position will commence on 14 March a beautiful campus near Ankara. Bilkent pro­ [email protected] 1994, or as soon as possible thereafter. The vides an excellent research environment with duration will be for up to two years initially with its rapidly growing library and campus-wide a possible extension for a further year. computer network. We provide fully furnished Salary: A$28,700-$38,950 (Research Fellow on-campus housing for all faculty members. Grade 1). Applicants should send a vita, list of publica­ Further Information: Prof. Walter Neumann tions, and a statement of current and planned re­ (+(613) 344-6567, electronic mail: neumann@ search, and arrange to have at least three letters mundoe. maths. mu. oz. au) or Dr. Craig of recommendation sent to: The Department of Hodgson (+(613) 344-5547, electronic mail: Mathematics, Bilkent University, 06533 Bilkent, [email protected]) Ankara, Turkey. Further inquiries can be made Applications close: 28 February 1994. through e-mail to arf@bilkent. edu. tr. Applications should be sent in duplicate, The search committee will begin its evalua­ quoting three referees to Dr. C. Hodgson, tion on April 15, 1994. However, later applica-

FEBRUARY 1994, VOLUME 41, NUMBER 2 161 MATHEMATICAL REVIEWS ASSOCIATE EDITOR-HALF-TIME

Applications and recommendations are invited for a one- or two-year half-time appointment as an Associate Editor of Mathematical Reviews (MR), to commence in September 1994. In particular applications will be welcome from persons taking a sabbatical leave. The salary is negotiable and will be commensurate with the experience the applicant brings to the position.

The MR office of the American Mathematical Society is located in Ann Arbor, Michigan, close to the campus of the University of Michigan. The editors, although employees of the AMS, enjoy many privileges at the University. At present MR employs twelve mathematical editors, several consultai:lts, and over sixty nonmathematicians. It produces Mathematical Reviews, Current Mathematical Publica­ tions, various indexes, the on-line service MathSci, and MathSci Disc. The responsibilities of an Associate Editor fall primarily in the day-to-day operations of selecting articles and books suitable for review, classifying these items, assigning them to reviewers, editing the reviews when they are returned, and correcting the galley proof. An individual with considerable breadth in pure or applied mathematics is sought, and preference will be given to those applicants with expertise in partial differential equations and/or numerical analysis. The ability to write good English is essential and the ability to read mathematics in major foreign languages is important.

Applications including curriculum vitae, bibliography, and names and addresses of at least three references should be sent to

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

Interested applicants are urged to inquire without delay.

The American Mathematical Society is an equal opportunity employer. ElMS subscribers: New Information for 1993-1994! Are you looking for a job? Do you have an open position to fill? Employment Information in the Mathematical Sciences The best source for information about open positions for mathematicians is ElMS, published five times per year. Institutions and individuals throughout the world subscribe to ElMS. A one-year subscription offers information on hundreds of open positions for mathematicians with education and experience at levels beyond the bachelor's degree. Graduate students, as well as experienced professionals, rely on ElMS as an essential job-search tool. EMPWYERS: ElMS gives you access to a wide pool of qualified applicants for your open positions. Listing in ElMS is easy. Your listing can run in one issue or in as many issues as you choose. To list your open positions in ElMS or to get rate and deadline information, call Mike Saitas at 1-800-321-4AMS (321-4267), ext. 4190 (in the United States and Canada), or 1-401-455-4190 (worldwide). You can submit by fax (1-401-331-3842), by e-mail on the Internet (eims-info@ e-math.ams.org), electronically bye-MATH, or by mailing to ElMS, American Mathematical Society, P. 0. Box 6248, Providence, RI 02940-6248. JOB SEEKERS: To subscribe, please return the attached order card with payment. As a bonus to your subscription, you will receive three flyers during the summer describing late-breaking opportunities. ElMS is published five times a year; the 1994 subscription year will run from October 1993 to March 1994. You will receive all issues regardless of when you subscribe. Subscriptions in North America are sent first class; all others are sent air mail.

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Group Insurance for AMS Members Updating your insurance doesn't have to be Designed for the way you live today. a hassle. With our plans, as your needs change, And tomorrow. This Plan is administered by Seabury & Smith. ESSENTIAL MATHEMATICS FROM CAMBRIDGE Complexity Theory The Riemann Approach to Current Research Integration Edited by Klaus Ambos-Spies, Steven Homer, Local Geometric Theory and Uwe Schoening Washek F. Pfeffer Presents current research in complexity theory, including Presents a detailed and mostly elementary exposition the non-uniform complexity of the graph isomorphism of the generalized Riemann-Stieltjes integrals. It contains problem; average case complexity theory; and fixed some recent developments connected with lipeomorphic parameter tractability. change of variables and the divergence theorem for 1993 321 pp. 44220-6 Hardcover $27.95 discontinuously differentiable vector fields. 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Jean 318 pp. 45602-9 Paper $29.95 Details a unified concept of phyllotaxis, and presents a mathematical model of plant growth based on experimen­ tal, anatomical, cellular, physiological, and paleontological observations. Available in bookstores or from 1994 574 pp. 40482-7 Hardcover $74.95 Schur Algebras and CAMBRIDGE Representation Theory UNIVERSITY PRESS Stuart Martin Presents a self-contained account of this algebra and those links, covering the basic ideas and their quantum 40 West 20th Street, New York, NY 10011-4211 analogues. Cambridge 1Tacts in Mathematics 112 Call toll-free 800-872-7423 1994 200 pp. 41591-8 Hardcover $44.95 MasterCard/VISA accepted. Prices subject to change. SIAM Journal on MATHEMATICAL ANALYSIS Editor-in-Chief Focuses on those parts of classical and modem E. DiBenedetto analysis that have direct or potential application to Northwestern the natural sciences and engineering. 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List Price Some recent papers •.• $352.00" I $398.00 overseas SpatJal Decay Estimates in Time-Dependent Stokes Flow SIAM Member Price K.A. Ames, L.E. Payne, and P. W. Schaefer $54.oo• I $59.00 overseas A Level Set Formulation for the Solution of the Dirichlet 'Prices llJ1Piy In u.s., Canada, and Mexico Problem for Hamilton-Jacobi Equations Stanley Osher The InitJal Value Problem for a System Modelling Undirectional Longitudinal Elastic-Plastic Waves Michael Shearer and David G. Schaeffer On The Zeros of Solutions to Ginzburg-Landau Type Systems Patricia Bauman, Neil N. Carlson, and Daniel Phfllips Universal Bounds for the Low Eigenvalues of Neumann Laplaclans inN Dimensions MarkS. Ashbaugh and Rafael D. Benguria Editorial Board Buckling Eigenvalues for a Clamped Plate i!mbedded in an Elastic Medium and Related Questions G. Andrews Bernhard Kawohl, Howard A. Levine, and Waldemar Velte S. Angenent R. Askey Weak Solutions of Some Quasllinear Elliptic Equations J. Bona with Data Measures I. Daubechies Nour Eddine Alaa and Michel Pierre C. de Boor Conservation Laws with Discontinuous Flux Functions L.C. Evans ToreGtmse S. Friedlander G. Gallavotti Asymptotic Behavior of One-Step Combustion Models R. Glassey with Multiple Reactants on Bounded Domains WJ. Hrusa joel D. Avrin C.K.R.T. Jones ModifledFarFieldOperatorsinlnverseScatteringTheory D. Kinderlehrer David Colton and Peter Hahner T.-P. Liu Geometric Analysis of a Nonlinear Boundary Value F.WJ. Olver Problem from Physical Oceanography M. Pierre Steven R. Dunbar J.-C. Saut G. Sell Orthonormal Bases of Compactly Supported Wavelets M. Shearer m. Better Frequency Resolution C. Simon A. Cohen and Ingrid Daubechies G. Talenti Threshold Behavior and Propagation for a OOferentJal. ].F. Toland Difference System Wet-Zheng Gao TO ORDER Use your credit card (AMEK, MasterCard, and VISA): Call toll free in the USA: 800-447-SIAM; Outside the USA call: 215-382-9800; Fax: 215-386-7999; E-mail: [email protected] Or send check or money order to: SIAM, Dept. BKN094, P.O. Box 7260, Philadelphia, PA 19101-7260 Shipping andHandling: USA: Add $2.75 forthe first book and $.50 for each additional book. Canada: Add $4.50 for the first book and $1.50 for each additional book. Outside USA/Canada: Add $4.50 per book. All overseas delivery via airmail. Payments may be made by wire transfer to SMM~ bank: PNC Bank, 3535 Market Street,Philadelphia, PA 19104; ABA Routing #031000053; Account Name: Society for Industrial and Applied Mathematics; Account Number: 509-704-5 . • 51a.J11.® SOCIETY FOR INDUSTRIAL AND APPliED MATIIEMATICS Interactive TEX I( WYSIWYG TEX I( User-friendly TEX I(

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BOO 622 8398 503 222 9571 facsimile 503 222 1643 [email protected] Institute for Mathematics and its Applications Summer Program, August 1- 19, 1994 MATHEMATICAL MODELING FOR INSTRUCTORS Supported by the National Science Foundation The Goal: To provide experience in the use of mathematical modeling to solve problems which come from industry and engineering, for 32 college/university instructors of undergraduates, so that they can incorporate their experience and newly acquired skills in either enrichment of existing math courses or development of new undergraduate courses in math modeling. The Method: The 3 week period will be divided into two equal parts. Monday morning of the first week 4 problems will be posed to the whole class with brief general background. Then the students/instructors will be organized into 4 teams and each team will concentrate on a problem. The students, as a team, will develop mathematical models as independently as possible, with guidance by a tutor as needed. Then they will work on the mathematical analysis of the problem, including numerical methods. At the end of the first part, each group will make both a public and a written report to the whole class on their progress and possible future directions. The process will then be repeated with new teams. There will be special sessions devoted to consideration of how the instructors can use this material in the undergraduate classroom setting, as well as discussions of modeling problems posed by the instructors themselves. Instructors are expected to participate in the entire program. The Tutors: Donald Drew, Patrick Hagan, Ellis Cumberbatch, Gerald Young, David Ross, and Colin Please Application Procedure: Mathematicians who teach undergraduates are invited to apply. Two letters of recommendation required, one from the departmental chairperson, as well as the applicant's curriculum vitae and statement of background and interest in employing modeling in the undergraduate math curriculum. Prerequisites: PhD in mathematics or applied mathematics, some ODE and PDE, computational experience and some physics background. The IMA will cover local living expenses but not travel. Selection criteria will include background and motivation as well as geographic and institutional diversity. Women and minorities are especially encouraged to apply. All correspondence should be sent to MATHEMATICAL MODELING, C.O. AVNER FRIEDMAN, DIRECTOR, at the Institute for Mathematics and its Applications, University of Minnesota, 514 Vincent Hall, 206 Church Street S.E., Minneapolis, Minnesota 55455, before March 15, 1994.

UNIVERSITY OF VIRGINIA DEPARTMENT OF APPLIED MATHEMATICS CHAIR

The University of Virginia invites applications and nominations for the position of Chair, Department of Applied Mathematics. The Department, which is in the School of Engineering and Applied Science, has a full-time faculty of eleven, and bas nmnerous active research programs grouped in three major areas: continumn mechanics, control theory, and nmnerical analysis/scientific computing. The Department offers B.S., M.S., and PhD. degrees in Applied Mathematics and is responsible for all undergraduate and gmduate education in Applied Mathematics within the School of Engineering and Applied Science. · Candidates for the position must have a Ph.D. degree and an outstanding record of research and scholarship in Applied Mathematics. Also, they must have a firm knowledge of the best programs in Applied Mathematics nationally and internationally. A clear commitment to academic leadership, teaching, and administmtion within an environment dedicated to engineering and applied science is expected. Women and ethnic minority candidates are encouraged to apply. Priority will be given to applications received by March 1, 1994. Applications should be sent to: Professor Paul Allaire Chair, Search Committee c/o Department of Applied Mathematics Thornton Hall University of Virginia Charlottesville, VA 22903-2422 The University of Virginia is an equal opportunity/affirmative action employer. Universitat Ulm

An der Fakultat fur Mathematik und Volumes 13 & 14 Wirtschaftswissenschaften der Universitat Ulm ist im Rahmen des Hochschulsonderprogramms II eine Idempotent Analysis Professur (C4) fOr Analysis V. P. Maslov and S. N. Samborsk:ir, Editors (Vorgezogene Nachfolge The articles in this collection show how idempotent analy­ Prof. Jurkat) sis is playing a unifying role in many branches of mathemat­ ics related to external phenomena and structures-a role in der Abteilung "Allgemeine similar to that played by functional analysis in mathematical Angewandte Mathematik" zu physics, or numerical methods in partial differential equa­ besetzen. tions. Such a unification necessitates study of the algebraic and analytic structures appearing in spaces of functions with Zur Funktion der Stelle gehort values in idempotent semirings. The papers collected here die angemessene Mitarbeit in constitute an advance in this direction. der mathematischen Grundausbildung auch fOr 1991 Mathematics Subject Classljication: 16, 20, 35, 47, 49, 90; 81 Studiengange anderer ISBN 0-8218-4114-9, 210 pages (hardcover), December 1992 Fakultaten. Individual member $65, List price $108, Institutional member $86 To order, please specifY ADVSOV /13NA Einstellungsvoraussetzung ist die Habilitation oder eine gleichwertige wissenschaftliche Leistung. Bewerberinnen und Bewerber durfen bei der Ernennung das Nonlinear Stokes Phenomena 45. Lebensjahr noch nicht Yu. S. n·yashenko, Editor vollendet haben.

The nonlinear Stokes phenomenon occurs in the local Die Universitat Ulm strebt theory of differential equations and finds application in eine Erhohung des Anteils von Frauen in Forschung und singularity theory. This book contains a number of papers Lehre an und bittet deshalb on this subject, including a survey that begins with Stokes' qualifizierte pioneering works on linear theory, and discusses the work of Wissenschaftlerinnen Voronin. nachdrucklich urn ihre Bewerbung. 1991 Mathematics Subject Classljication: 32, 34, 35, 58; 43 ISBN 0-8218-4112-2, 287 pages (hardcover), February 1993 Individual member $70, List price $116, Institutional member $93 Bewerbungen mit den To order, please specifY ADVSOV /14NA ublichen Unterlagen sind bis zum 1 . April 1994 an den Dekan der Fakultat fOr Mathematik und Wirtschaftswissenschaften der Universitat Ulm 89069 All prices subject to change. Free shipment by surface: for air delivery, Ulm zu richten. please add $6.50 per title. Prepayment required. Order from: American Mathematical Society, P.O. Box 5904, Boston, MA 02206-5904, or call toll free 800-321-4AMS in the U.S. and Canada to charge with VISA or Schwerbehinderte werden bei MasterCard. Residents of Canada, please include 7% GST. entsprechender Eignung vorrangig eingestellt. Modular Elliptic Curves and Fermat's Last Theorem Kenneth A. Ribet

Andrew Wiles and Kenneth Ribet

In 1637, Pierre de Fermat wrote his legendary marginal comment that xn + yn = zn has no solution in positive integers when n ;:::: 3. Fermat's Last Theorem has eluded proof over the centuries, stimulating a great deal of mathematical development. In 1993, Andrew Wiles announced his proof of this celebrated theorem. Wiles's main result, a special case of the Taniyama Conjecture, relies on a wide range of mathematical tools developed over the past ten years. A crucial link was a 1986 theorem that the Taniyama Conjecture implies Fermat's Last Theorem, proved by Ken­ neth Ribet, who gives the two lectures on this videotape. Presented just weeks after Wiles's now-historic announcement, these expository lectures describe the main ingredients in Wiles's results. The lectures would be accessible to advanced undergraduates and graduate students with some background in algebra and number theory. 1991 Mathematics Subject Classification: 11, 14 ISBN 0-8218-8087-X, NTSC format on 112" VHS videotape; approx. 100 minutes, October 1993 Individual member $29.95, List price $49.95, Institutional member $39.95 To order, please specify VIDE0/89NA

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