Norman Program (March 18-19)- Page 180

Notices of the American Mathematical Society

February 1983, Issue 224 Volume 30, Number 2, Pages 137- 248 Providence, Rhode Island USA JSSN 0002-9920 Calendar of AMS Meetings

THIS CALENDAR lists all meetings which have been approved by the Council prior to the date this issue of the Notices was sent to press. The summer and annual meetings are joint meetings of the Mathematical Association of America and the Ameri· can Mathematical Society. The meeting dates which fall rather far in the future are subject to change; this is particularly true of meetings to whi·ch no numbers have yet been assigned. Programs of the meetings will appear in the issues indicated below. First and second announcements of the meetings will have appeared in earlier issues. ABSTRACTS OF PAPERS presented at a meeting of the Society are published in the journal Abstracts of papers presented to the American Mathematical Society in the issue corresponding to tout of the Notices which contains the program of the meet· ing. Abstracts should be submitted on special forms which are available in many departments of and from the office of the Society in Providence. Abstracts of papers to be presented at the meeting must be received at the headquarters of the Society in Providence, Rhode Island, on or before the deadline given below for the meeting. Note that the deadline for ab· stracts submitted for consideration for presentation at special sessions is usually three weeks earlier than that specified below. For additional information consult the meeting announcement and the list of organizers of special sessions.

MEETING ABSTRACT NUMBER DATE PLACE DEADLINE ISSUE 802 March 18-19, 1983 Norman, Oklahoma JANUARY 20, 1983 February 803 April14-15, 1983 , New York FEBRUARY 15, 1983 April 804 April 29-30, 1983 Salt Lake City, Utah FEBRUARY 21, 1983 April 805 August 8-12, 1983 Albany, New York MAY17,1983 August (87th Summer Meeting) 806 October 28-29, 1983 Fairfield, Connecticut 807 November 11-12, 1983 San Luis Obispo, 808 November 11-12, 1983 · Evanston, Illinois 809 January 25-29, 1984 Louisville, Kentucky (90th Annual Meeting) April 6-7, 1984 Notre Dame, Indiana January 9-13, 1985 Anaheim, California (91 st Annual Meeting) January 21-25, 1987 San Antonio, Texas (93rd Annual Meeting)

DEADLINES: Advertising (April Issue) March 3, 1983 (June Issue) April 21, 1983 News/Special Meetings: (April Issue) February 14, 1983 (june Issue) April 5, 1983

Other Events Sponsored by the Society

April12-13, 1983, AMS-SIAM Symposium on Inverse Problems, New York Statler Hotel, New York, New York. This issue, page 193. May 1983, Symposium on Some Mathematical Questions in Biology, Detroit, Michigan. This issue, page 198. June 5-August 13, 1983, AMS Summer Research Conferences, University of Colorado, Boulder, Colorado. January issue, page 74. June 27 -July 8, 1983, AMS-SIAM Summer Seminar on Large-scale Computations in Fluid Mechanics, Scripps Institution of Oceanography, Lajolla, California. This issue, page 199. July 11-29, 1983, AMS Summer Research Institute on Nonlinear Functional Analysis and Applications, University of California, Berkeley. This issue, page 199. August 6-7, 1983, AMS Short Course: Population biology, Albany, New York. Subscribers' changes of address should be reported well in advance to avoid disruption of service: address labels are prepared four to six weeks in advance of the date of mailing. Requests for a change of address should always include the member or subscriber code and preferably a copy of the entire mailing label. Members are reminded that U. S. Postal Service change-of­ address forms are not adequate for this purpose, since they make no provision for several important items of information which are essential for the AMS records. Suitable forms are published from time to time in the Notices (e.g. June 1980, page 378). Send change of address notices to the Society at Post Office Box 6248, Providence, Rl 02940. [Notices is published eight times a year (January, February, April, June, August, October, November, December) by the American Mathematical Society at 201 Charles Street, Providence, Rl 02904. Second class postage paid at Providence, Rl and additional mailing offices. POSTMASTER: Send address change notices to Membership and Sales Department, American Mathematical Society, Post Office Box 6248, Providence, Rl 02940.] Publication here of the Society's street address, and the other information in brackets above, is a technical requirement of the U. S. Postal Service. The street address should never be used by correspondents, unless they plan to deliver their messages by hand. Members are strongly urged to notify the Society themselves of address changes (in the manner described above), since (as explained above) reliance on the postaf service change-of-address forms is liable to cause delays in processing such requests in the AMS office. Notices of the American Mathematical Society

Volume 30, Number 2, February 1983

EDITORIAL COMMITTEE Paul F. Baum, Ralph P. Boas Raymond L. johnson, Mary Ellen Rudin Bertram Walsh, Daniel Zelinsky 138 Paul R. Garabedian Awarded 1983 Birkhoff Prize Everett Pitcher (Chairman) 140 Science Policy and Mathematics-A Current MANAGING EDITOR Perspective, Edward A. Knapp Lincoln K. Durst 145 News and Announcements ASSOCIATE EDITORS Hans Samelson, Queries 150 International Congress of Ronald L. Graham, Special Articles 157 AMS Trustees Honor Long-term Employees SUBSCRIPTION ORDERS 159 Queries Subscription for Vol. 30 (1983): 160 26th Annual AMS Survey (Second Report) $39 list, $20 member. The subscription price for members is included in the Employment of New Doctorates, Faculty annual dues. Subscriptions and orders Mobility, Enrollments, Class Size for AMS publications should be 166 Freshman Mathematics (Panel Discussion) addressed to the American Mathematical Society, P. 0. Box 1571, Annex Station, 172 Letters to the Editor Providence, Rl 02901. All orders must 174 NSF News & Reports be prepaid. 177 Reciprocity Agreements ORDERS FOR AMS BOOKS AND 178 1983 AMS Elections (Nominations by Petition} INQUIRIES ABOUT SALES, SUBSCRIP· TIONS, AND DUES may be made by 180 Future Meetings of the Society calling Caroi·Ann Blackwood at Norman, March 78-79, 180; , 800·556·7774 (toll free in U.S.) between April 74-75, 193; Salt Lake City, April 29-30, 8:00 a.m. and 4:15 p.m. eastern time, 196; Symposium on Mathematical Biology, Monday through Friday. Detroit, May 37, 198; AMS-SIAM Summer CHANGE OF ADDRESS. To avoid Seminar, 199; AMS Summer Research Institute, interruption in service please send 199; Call for Topics, 200; Invited Speakers address changes four to six weeks in and Special Sessions, 203 advance. It is essential to include the 205 Special Meetings member code which appears on the address label with all correspondence 211 New AMS Publications regarding subscriptions. 214 Miscellaneous INFORMATION ABOUT ADVERTISING Personal Items, 214; Deaths, 214; Backlog, 215; in the· Notices may be obtained from Assistantships and Fellowships Wahlene Siconio at 401·272·9500. (Supplement), 217 CORRESPONDENCE, including changes 228 AMS Reports and Communications of address should be sent to American Recent Appointments, 228; Reports of Past Mathematical Society, P.O. Box 6248, Meetings: Baton Rouge, 229; East Lansing, 229; Providence, Rl 02940. Monterey, 230; Denver, 231; Election Results Second class postage paid at of 1982, 231; Council for 1983, 231; Report Providence, Rl, and additional mailing from CAFTES, 232 offices. Copyright© 1983 by the 233 Advertisements American Mathematical Society. Printed in the of America. 247 Reservation Form (New York City) Paul R. Garabedian Awarded 1983 Birkhoff Prize

The Prize is awarded Antman, David Gilbarg, chairman, and Werner every five years to a recipient selected, by a . Rheinboldt. joint committee of the American Mathematical The material which follows consists of the Society and the Society for Industrial and Applied selection committee's citation, the remarks of Mathematics, for outstanding contributions to Professor Garabedian at the Prize Session in "applied mathematics in the highest and broadest Denver on the presentation of the award, a brief sense." The 1983 recipient is Paul R. Garabedian biography of Garabedian and an essay in which of the Courant Institute of Mathematical Sciences sketches Garabedian's contributions to of New York University. applied mathematics. The Birkhoff Prize Fund was originally created by the Birkhoff family in 1967. The award is Citation supplemented by an award from the Steele Prize Fund of the American Mathematical Society in The George David Birkhoff Prize for 1983 is the name of the Birkhoff Prize (the Steele Prize presented to Paul R. Garabedian for his important Fund was presented to the Society for prizes in contributions to partial differential equations, honor of George David Birkhoff, William Fogg to the mathematical analysis of problems of Osgood and William Caspar Graustein). In 1983 transonic flow and airfoil design by the method the award is $1500. of complexification, and to the development and Previous recipients of Birkhoff prizes are Jiirgen application of scientific computing to problems of K. Moser (1968), Fritz John (1973), James B. fluid dynamics and plasma physics. Serrin (1973), (1978), (1978) and Clifford A. Truesdell III (1978). The Birkhoff Prize for 1983 is awarded by the Response Council of the American Mathematical Society I am very grateful to have been awarded the and the Executive Committee of the Council of the Birkhoff Prize. It is an additional satisfaction Society for Industrial and Applied Mathematics, that the award is supplemented from the Steele on the recommendation of the joint AMS-SIAM Fund honoring G. D. Birkhoff, W. F. Osgood and Committee to Select the Winner of the Birkhoff W. C. Graustein. This is especially true because Prize for 1983, whose members are Stuart S. my father was a Ph. D. student of G. D. Birkhoff and attributed his principal guidance in teaching toW. F. Osgood. It was moreover in Graustein's home that he first met my mother. They directed me to the Graduate School at Harvard, where it was under the influence of Garrett Birkhoff that I first studied hydrodynamics. I wish to take this occasion to acknowledge the contributions to my research that have been made by the teachers, colleagues and students who have collaborated in my work. Many but not all have appeared as joint authors of my publications.

Biographical Sketch

Paul Roesel Garabedian was born on August 2, 1927, in Cincinnati, Ohio. He received an A.B. degree from Brown University in 1946, and both an A.M. (1947) and a Ph.D. (1948) from . He was assistant professor at the University of California in 1949-1950. Between 1950 and 1959 he advanced from assistant professor to professor of mathematics at . He has been professor of mathematics at the Courant Institute of Mathematical Sciences of New York University since 1959. Between 1972 and 1978 he was Director of the Courant Mathematics and Computing Laboratory

138 of the U.S. Department of Energy at New York Mathematics (1957), the Committee on Applied University and, since 1978 he has been Director of the Mathematics (1959-1964), and the AMS-MAA-SIAM Division of Computational Fluid Dynamics. Joint Projects Committee for Mathematics (1976, Professor Garabedian has been the recipient of 1977). He gave an invited address in Los Angeles fellowships from the National Research Council in November 1955. He has spoken at the Fifth (1948-1949), the Alfred P. Sloan Foundation (1961- Symposium on Applied Mathematics (Pittsburgh, 1963), and the Guggenheim Foundation (1966-1967 June 1952), the Symposium on Special Topics in and 1981-1982). In 1975 he was Sherman Fairchild Applied Mathematics (Evanston, Illinois, November Distinguished Scholar at the California Institute of 1953), the Symposium on Applications of Nonlinear Technology_ He served as Scientific Liaison Officer in Partial Differential Equations (New York, April 1964), the London Branch of the Office of Naval Research and at the Special Session on Operator Theory and (1957-1958), and has received the NASA Public Several Complex Variables (New York, March 1978). Service Group Achievement Award (1976) and the Professor Garabedian is a member of the National NASA Certificate of Recognition twice (1977 and Academy of Sciences, the American Academy of Arts 1980). In 1980 he received the Boris Pregal Award of and Sciences, the American Mathematical Society, the New York Academy of Sciences_ He is a member the Society for Industrial and Applied Mathematics, of the editorial board of Applicable Analysis_ the American Physical Society and the American Professor Garabedian served as member-at-large of Institute of Aeronautics and Astronautics. His major the Council of the American Mathematical Society research interests are functions of a complex variable, from 1959 to 1961. He has been a member of the computational fluid dynamics, and partial differential Program Committee for a Summer Seminar in Applied equations_

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1 Paul Garabedian's Work in Applied Mathematics Peter D. Lax Garabedian has, of course, made outstand­ designing airfoils which can accommodate shock­ ing contributions to pure mathematics in the less transonic flows, of great importance in theory of functions of one and several com­ reducing drag. He supervised wind tunnel tests plex variables (Bieberbach's conjecture, the of his designs, which bore out the theoretical Ci-Neumann problem), and the theory of par­ predictions. Today Garabedian's airfoils and his tial differential equations. He has also made method for designing airfoils are widely used in basic contributions to the theoretical aspects the aircraft industry and aerospace laboratories. of applied mathematics, principally to the exis­ In the seventies Garabedian and his tence and construction of fluid flows with free coworkers showed how to use and modify his i surfaces. In this report, however, I would methods for designing shockless airfoils to the like to concentrate on his contributions to com­ design of efficient turbine and compressor blades. putational applied mathematics because of the These have found wide applications in the extreme importance of this emerging new field, aircraft engine industry. because of Garabedian's leadership in champion­ In the last eight years Garabedian has ing this new field, and because Garabedian has turned to the problem of magnetohydrodynamic successfully brought sophisticated methods of equilibria and their stability. These are essen­ theoretical mathematics to bear on problems of tially three dimensional configurations, whose computational nature. calculation taxes the capacity of the most ad­ In the late fifties Garabedian solved the vanced current class VI supercomputers. The blunt body design problem of hypersonic flow calculations can be performed only in special by prescribing the shape of the bow shock and coordinates, and after preliminary analytical solving the Cauchy problem for the equations of reductions. Garabedian's studies of so-called compressible flow. Because the flow is subsonic stellarator configurations are the state of the across the of symmetry of the shock, art in this branch of the magnetically confined the equations are not hyperbolic; Garabedian fusion effort. circumvented this difficulty by introducing com­ I would also like to mention Garabedian's plex coordinates, in terms of which the problem early paper (1956) on the rate of convergence becomes well posed. The methods developed of the SOR method. This little gem relates the were applied to the so-called reentry problem. convergence rate to the lowest eigenvalue of the In the sixties Garabedian applied the associated region. The method of analysis has method of complexification to the problem proved fruitful in other eontexts. of transonic flows. He devised methods for

139 Science Policy and Mathematics-A Current Perspective Edward A. Knapp

American science is the envy of the world. But though that is not necessarily a bad thing. It it is in trouble. does not mean that we have fewer scientists now It is in trouble because we no longer have at work. It does indicate that other nations are enough excited, enthusiastic graduate students making progress on their own, producing more and postdoctoral fellows preparing for careers in scientists, engaging in more scientific research mathematics and other sciences in this country's and development. Actually, U.S. cooperation universities and colleges. probably accounts for more of the scientific It is in trouble because the experimental sciences progress of other nations than we realize. have not replaced obsolete instrumentation for My greater concern is that the U.S. is not over a decade. getting as many of the top quality people into It is in trouble because our system of public the sciences as we did twenty years ago. Yes, education has not prepared enough high school we are winning Fields Medals and Nobel Prizes students for scientific training, or more sadly, for now. But what of the future? Where will we living in a technological age. be in science twenty years from now? Research I will discuss with you why this is so, and in science cannot be separated from education in what the Reagan Administration and we at the science. And if we are to maintain our record National Science Foundation will try to do to of top quality research results, our educational remedy that situation in the next several years. system must maintain its ability to attract and produce top quality scientists. I will discuss NSF policy regarding support for Partly because the nation is already lagging in research and education~ policy shaped by the state of science and technology in the nation and this area, the state of U.S. technology is becoming by other national needs. And I will discuss how uneven and those of us in science and engineering this policy affects mathematics. are being challenged to do something about it - now. We are being challenged by an economy that is I. Science Policy flagging in a time of great technological transition. The intellectual state of science is good. During We are being challenged by the weakened the last three and a half decades the United States position of the U.S. in world markets. has had more winners in science than We are being challenged by a need to maintain any other country. And in mathematics the skill our national security. of American researchers was again affirmed by We are asked: How do we stimulate innovation? the award of two of the last three Fields Medals How do we increase productivity and regain to Americans: to Bill Thurston for his work on technological superiority? geometric structures and 3-dimensional manifolds, And we ask ourselves: If this requires a greater and S .-T. Yau for his work in differential geometry effort in scientific research and development--­ and partial differential equations. and we know it does; if this means increasing our These are records we have earned. We are proud scientific manpower by strengthening our system of them, and proud that today the United States of education-~and we know it does; how do we has more scientists and engineers engaged in do it~given today's limited budget for Federal research and development than any other nation support? There are two answers to that. in the western world. First, this Administration has made it a policy We are a little less pleased that the United to leave most of the support of applied science States' share of the world's basic scientific research and nearly all of development to industry, which has dropped from one-half to about one-third, is motivated by the drive for commercial success. It has also made it a policy to concentrate Federal This article contains the text of an address bJl support where it is needed most--on fundamental Foun- I the new Director of the National Science scientific research. dation presented to the Society and the Math­ from my former ematical Association of America at the Joint Partly as a result of advice colleague at Los Alamos, George Keyworth, the Mathematics Meetings in Denver, Colorado, basic research as January 6, 1983. Administration has endorsed essential to scientific and technological progress.

140 It has applauded the role of basic research in helping four-year colleges collaborate with large stimulating economic growth. universities as well as with industry-for instance, The decision is clear. We will maintain, and in sharing instruments or participating in front indeed increase government's strong support of line research. And I assure you that the National basic research and leave development to industry. Science Foundation will continue to support high And mathematics is an integral part of the quality research throughout the academic system, nation's basic research enterprise. not only at universities with great prestige. This does not mean we are walling off industry What of the mathematical sciences? Today from academia. Quite the contrary. This Ad­ gauge theories, renormalization methods, strange ministration has urged industry to share instru­ , and group representations are being ments and personnel with colleges and universities discussed not only at meetings such as this one, whenever possible. It has urged industry to but also at meetings of chemists and physicists. work jointly with university teams on projects-­ Clearly, enlarging our reservoir of knowledge in such as those in the materials sciences-where mathematics will enlarge our capacity to fuel all commercial application of research results looks the sciences. But I will point out, and I think prom1smg. And we are now urging university you will agree, that the octane count of that researchers to be receptive to industrial needs for fuel matters most now--that it is the quality of research-trained people. Remember, university research and training that is critical. Thus, our professorships are not the only good, intellectually highest priority for the mathematical sciences is satisfying and productive jobs held by research­ to ensure that the next generation of researchers trained scientists. is of the same superior quality as the present one. Again, it is not only research results that count. Good scientific manpower is one aspect II. National Science Foundation of what makes industry innovative. And the most important impact academia has on industry Obviously, mathematical research supported is to provide it with first rate, expertly trained by the National Science Foundation will have to scientists and engineers. compete for funds with high quality research in The second way to strengthen science, despite other fields of science. The scope of responsibility limited Federal funds, is to invest where we will of the Foundation includes the whole spectrum of get the best possible return. That means giving science and engineering. NSF makes more than priority for support to the best scientific projects 12,000 grants for research every year, of which and colleges and universities with excellent about 1,000 are in the mathematical sciences. researchers. It means allocating the most funds to the most active sciences and establishing criteria NSF-supported scientists seek answers to basic for support very carefully. It means identifying questions about life and matter from 20,000 feet and funding the most promising projects in the beneath the floor of the ocean to ten billion light most crucial areas--especially those that underlie years from Earth. industrial production and innovation. It means Major scientific work takes place in NSF­ looking for people and institutions -large and supported national centers for research. Let me small-that have a good track record and can cite some: produce results. At the National Center for Atmospheric Re­ The decisions involved in implementing these search (NCAR) here in Colorado, scientists con­ policies must be realistic. In the face of tight duct a broad range of cooperative research. budgets, we have to insist on excellence and They aim at improving our understanding of the results. Choosing will not be easy, but choices will chemistry of the atmosphere and our analysis of be made and implemented within each discipline. climate and weather. And to help with these In making its decisions, in helping to set tasks, NCAR has one of the world's largest and priorities, NSF will need to involve the nation's fastest . best scientists. Each government agency has The National Scientific Balloon Facility (NSBF) mechanisms for obtaining advice. These need in Texas is devoted to scientific experiments at to be augmented by the most thoughtful inputs high altitudes. The CESR accelerator complex at of professional societies. For this reason we and the Indian Cyclotron are have welcomed the increased activities of the NSF facilities. mathematical research community in its studies Then there are the spectacular optical and radio of areas of scientific leverage. As a result of your observatories: Kitt Peak National Observatory in activities, and similar ones in the other sciences, Arizona; Cerro Tololo in Chile, which has the we are charting a course that will ensure the largest telescope in the Southern Hemisphere; the continued strength of basic academic research. National Radio Astronomy Observatory, which For my part, I will work with the National recently added the Very Large Array in New Science Board and the NSF advisory committees Mexico to receivers in West Virginia and Arizona; to see to it that first-rate minds are attracted the National Astronomy and Ionosphere Center to science. I am particularly interested in (NAIC) in Puerto Rico; and the Sacramento Peak

141 Observatory in New Mexico, one of the world's As you may know, the National Science Board major centers for observing the Sun. has set up a Commission on Precollege Educa­ The Foundation supports a fleet of scientific tion in Mathematics, Science and Technology to research ships and the Alvin, the famous submer­ analyze this problem, to help define appropriate sible that dives to rifts in the mid-ocean ridges and roles, and to attempt to prescribe proper actions. has discovered strange new forms of life there. It Mathematics comes first and foremost in the title also supports all research conducted by the U.S. of this Commission-with good reason. Precol­ in Antarctica-a multidisciplinary enterprise. lege mathematics is important as a preparation NSF's responsibility extends to nearly all not only for our future scientists and engineers scientific fields. It involves disciplinary and but for every American who wishes to contribute multidisciplinary research. It integrates basic and productively in our ever more technological world. applied modes. And it reflects evolving scientific I strongly believe that your organizations have interests and changing national priorities. a serious responsibility in this area. Research mathematicians must contribute their knowledge and expertise to restoring the quality of high ill. Precollege Science and Mathematics school instruction. Only you can provide the right intellectual stimulation, and I am pleased to Let me discuss for a moment a subject of discover that you have already begun. deep concern to me, to the Foundation, and to At the last meeting of the Foundation's this Adminstration: the quality of instruction in Advisory Subcommittee for the Mathematical science and mathematics at the precollege level. Sciences, I learned that several of its members This is a serious and very disturbing topic. The were already involved in precollege mathematics mathematics and science that students get in activities, high school teacher retraining, and elementary and secondary school underpins our student motivation. I urge you and your future in research and technology. is It important organization to build on this beginning, even to for the economy. It is the bedrock of our national increase your contribution. We at the Foundation security. And it is essential for all citizens in a will do our part, but it cannot be done well technological age. without you. But the troubles of our precollege educational system run deep. After a period of major IV. The Mathematical and investments by the Federal Government, including those made through the Foundation, it is alarming Physical Sciences to observe what is happening. Let me talk briefly about the Mathematical I have a few figures here, and they are very and Physical Sciences (MPS) Directorate at the revealing. In 1980, 16 percent of all mathematics Foundation-which manages about one-third of enrollments in four-year colleges and universities NSF's budget. The research MPS supports­ were remedial, compared to only 13 percent in in physics, chemistry, materials research, and 1960. In two-year colleges, the figure for 1980 is mathematical and sciences-lies in the 42 percent, in contrast to 31 percent in 1966. area of my greatest scientific interests. I served Today, at any one time, fewer than 48 percent for two whole months as Assistant Director for of U. S. high school students are taking a science MPS. or mathematics course. It is supporting some really outstanding re­ Who is to blame? For one thing, there is search, including the work of Bill Thurston and plenty of evidence that the quality of education S.-T. Yau. And I'm sure you know that our students receive in the nation's schools depends grantee Ken Wilson of Cornell won the Nobel on the quality of their teachers. And the exodus Prize last month for his work on renormalization of capable mathematics and science teachers from group methods. our high schools has brought about a severe MPS also supported the work of Roald shortage of competent instructors. Hoffman, the 1981 Nobel Prize winner in What is to be done about it? It is clear that the chemistry. Hoffman's fundamental contributions old solutions are not working. to the understanding of the structure of or­ Responsibility for elementary and secondary ganic molecules through orbital symmetry rules education in the U.S. has always belonged to have affected chemical theory and the industrial . local communities. This is rightly so, and a laboratory. , who proved major portion of the solution to the problem of the four-dimensional Poincare conjecture, has mathematics and science education must come received our support, as have M. Cohen and his from the local level. However, the problem of collaborators at Berkeley. Through the use of improving mathematics and science education is modern, large-scale computers, the latter have also national, and we must devise a method of been able to apply pseudo potential and density helping local authorities to solve this problem, in functional theory to develop a simulation model of part using our best asset at the Foundation, the phase transitions in germanium and silicon. This active scientists working in research. yields remarkably accurate results in comparison

142 with experimental data. It portends an ability We will see to it that our means are adequate to to explain and predict phase diagrams for more the task. complicated materials. Finally, I want to mention the fascinating V. The Mathematical Sciences work of Michael Rabin at Harvard and Michael Fischer at Yale. With their development of As an experimental physicist, I have been fast probabilistic , they have been greatly impressed by the power and usefulness able to produce answers to otherwise impossible of mathematical ideas in the other sciences and computational problems~with a predetermined technology. I am impressed by the strength probability of being correct. and preeminence of the American mathematical We can appreciate the vitality of these MPS research community. The tradition of excellence disciplines by observing our progress in under­ of Veblen, Moore, Birkhoff, Wiener, Lefschetz, standing the fundamental forces and constituents von Neumann and Courant continues today. And of physical matter, the richness of recent devel­ without advances in computational capabilities, opments in mathematics, and the how could we move ahead in the design of of . At the same time, the advanced technological products? widespread application of lasers to research, the Needless to say, the pattern and level of applications of modern synthetic chemistry, the funding of research in the mathematical sciences unique properties of amorphous materials and are not unique to mathematics. They occur, materials of one and two dimensions illustrate with variation, in all the sciences~indeed in all their potential to serve society. scientific activities, not only those supported by Although theoretical understanding is central the Foundation. to progress in the MPS disciplines, all disciplines The 1970s was a period of relative academic except mathematics are engaged first of all in poverty. During the period 1972-1980, the experimental research. level of Federal R&D expenditures in universities Can we maintain an adequate, modern ex­ and colleges remained more or less stable at the perimental capability at the universities? In recent $2 billion mark in constant dollars. This happened years, NSF has singled out research instrumen­ in spite of significant increases in the numbers of tation as eritical to the well-being of scientific researchers at academic institutions and the birth research. We will continue to emphasize it in the of fields like computer science. days ahead. During this same period, Federal support for NSF will support the purchase of instruments fellowships and traineeships and training grants used by individuals and small groups of research­ dropped sharply. That affected different academic ers, and we will support large facilities shared disciplines in various ways. In the experimental by many researchers. Perhaps you are familiar sciences, it meant the year-to-year postponement with the thirteen interdisciplinary materials re­ of improved instrumentation-leading to today's search laboratories, the seven low energy nuclear serious condition. In the mathematical sciences, it laboratories, the ten eomputer science experimen­ led to the present pattern of the extremely small, tal research laboratories, and the national user very lean grants with which you are so familiar facilities maintained by NSF--such as CESR, the and to the lack of support for graduate students, Indiana University Cyclotron Facility, and the young investigators, and postdoctoral fellows. National Magnet Laboratory at MIT. In this cat­ Recently, the combination of limited budgets, egory also are the Institute of Theoretical Physics general inflation, and the need to respond to at Santa Barbara and the two mathematical special scientific requirements has led to a net sciences institutes in Berkeley and Minnesota. decrease in the number of mathematicians, scien­ Three points of policy are particularly impor­ tists, and engineers supported by the Foundation. tant to the MPS disciplines. First, the Foundation, In all of the mathematical and physical sciences, and MPS in particular, will support the best pos­ the Foundation has had to decline some first rate sible research in the best possible manner within researchers with excellent projects. The funds are its resources. W"herever outstanding researchers not available. may be, they will be funded at levels needed to During the past two months, I have met with perform their research. Second, the situation in members of advisory committees for chemistry, scientific instrumentation for academic research is physics, and materials research. Repeatedly, critical, and we will give it high priority. Third, members of these committees have told me of our funding actions will accord with our goal their deep concern about what we call the "cut to attract the very best minds in the nation off' level-that is, the excellence of the work that to scientific research, and to provide them with we cannot support~and about the strain that excellent training. We will emphasize not only in­ this places on the peer review system. strumentation, but support of graduate students, This situation is particularly critical in math­ postdoctorals and young faculty members within ematics. Since the late 1960s, when other fund­ environments capable of providing the best in­ ing agencies withdrew support from research in struction and stimulating excellence in research. many mathematical subfields, NSF was left as

143 the primary supporter. Today, NSF furnishes mathematics department. I quote: "When little exclusive support for the more abstract areas more than a third of the mathematicians in of mathematics. Even in statistics and applied a strong department such as ours are being mathematics, it now provides around half of the supported by NSF and when, nationally, the same total Federal support for academic research. Yet is true of only a fifth of active mathematicians in little compensation has been made for the burden the U.S. A., the NSF should realize that there is added to NSF's budget. a real danger." By the mid 1970s, the effect of the limited I am fully aware of this danger. But I am Federal research support in the mathematical hopeful. I look forward to better things for sciences and a squeeze on university budgets the immediate future, not only in the mathemati­ became clear. We saw it in the weakened ability cal sciences but in all of the scientific activities of universities to attract graduate students, in of the Foundation. The Foundation and this the reduced numbers of postdoctorals and young Administration are determined to redress the faculty members, and in the difficult financial situation-even within the difficult economic en­ situations faced by graduate schools-which were vironment in which we find ourselves. Personally, particularly strained at the major research centers. I pledge to work hard and long for this goal. In spite of the great vitality of individual Moreover, the National Academy of Sciences researchers, the infrastructure of the research briefing panel chaired by Bill Browder has set enterprise came to a perilous point. Not only out a series of priorities for the mathematical the quantity but also the quality of students sciences. NSF's Advisory Subcommittee for the attracted to the mathematical sciences dropped Mathematical Sciences studied them. And they off. Younger researchers grew skeptical about became part of the budget for NSF that the their professional future. The same problems and President will present to Congress in a few weeks. perceptions occurred in the other sciences. The high priority we are placing on graduate This situation led to several actions intended students and postdoctorals has already prompted to redress and strengthen the scientific infrastruc­ me to transfer $300,000 from other directorates to ture. In the mathematical sciences, a spe­ the mathematical sciences for this purpose. This cial postdoctoral program was established to is, I trust, just a start in the right direction. strengthen postdoctoral and visitor activities at In closing, I will make the following comments: the Institute for Advanced Study, the Courant First, you have a responsibility as a research Institute, and the University of Math­ eommunity that must be exercised not only in ematics Research Center. The Institutes at the realm of researeh but also in education-and Berkeley and Minnesota were established and, not onlv in universitv instruction but also at the finally, NSF set up a small computer instrumen­ precoll~ge level. We ~t the Foundation depend on tation program. you to determine the major lines of policies and Similar actions took place within the other priorities. disciplines. The Institute of Theoretical Physics Second, I believe that problems in science and was established at Santa Barbara. And in all engine~ must be addressed in a coherent the MPS disciplines, mainly in computer science, manner, aware of the entire scientific enterprise. special funds were devoted to the instrumentation They must be addressed not only by the National program. Science Foundation but by all of the funding These actions were taken after much debate­ agencies of the government, the universities, and debate that became heated because some of the private industry. funds had to be diverted from other activities of I am grateful for this opportunity to speak with great scientific priority. In the mathematical you. I believe it is vital that those of us who serve sciences, as in all the MPS disciplines, the in the Foundation maintain a continuing dialogue total number of awards-and therefore of senior with you. researchers supported-had to decrease. From With your organization and those of us in 1979 to 1982, the number of MPS awards decreased government each exercising our responsibilities by 18 percent. fully, with all the sciences working together, we I am painfully aware of the consequences of will find reasonable answers to the challenges that these decisions. Jim Infante has given me a copy of confront us. a letter written by the chairman of a distinguished

144 News and Announcements

Whitney and Krein physics. His contributions led to important devel­ Awarded Wolf Prize for 1982 opments in the applications of mathematics to different fields, ranging from theoretical mechanics The Wolf Foundation announced in January to electrical engineering. His style in mathematics that the 1982 prize in mathematics was shared and his personal leadership and integrity have set by of the Institute for Advanced standards of excellence. Study, Princeton, and Mark Grigor1evich Krein Hassler Whitney was born March 23, 1907 of the Ukrainian S. S. R. Academy of Sciences, in New York City. He received his Ph.D. Odessa. The total award is $100,000. The awards from Harvard University in 1932. In 1947 Yale will be made at ceremonies in the Knesset in University gave him an honorary D. Sc. degree. Jerusalem in May 1983. He was a member of the Harvard faculty from 1930 to 1952; in 1952 he moved to the Institute WHITNEY'S CITATION: His innovative ideas for Advanced Study as a professor, and in 1977 have been the seed from which contemporary he retired as professor emeritus. He was elected work in , topology and differential to the National Academy of Sciences in 1945, geometry have grown to maturity. Matroids, he delivered the Colloquium Lectures in August differential manifolds, fiber bundles, characteristic 1946 and in 1948 and 1949 he served as vice classes, classifying spaces, stratifications, rational president of the American Mathematical Society. homotopy are only some of the concepts that trace He was awarded the National Medal of Science in their parentage to Whitney. His work inaugurates 1977 by President Carter. He was a member of the style of geometric and combinatorial reasoning the Transactions editorial committee from 1942 that has become the standard for the second half to 1949 and the Mathematical Reviews editorial of the twentieth century. committee from 1949 to 1954. KREIN'S CITATION: His work is the culmina­ Mark Grigor'evich Krein was born in Kiev in tion of the noble line of research begun by 1907. He completed his graduate studies at Chebyshev, Stieltjes, S. Bernstein and Markov Odessa University in 1929. In 1933 he was and continued by F. Riesz, Banach and Szego. appointed to the chair of Function Theory and Krein brought the full force of mathematical later to the chair of Analysis at Odessa University. analysis to bear on problems of function theory, In 1939 he was awarded the doctor's degree of operator theory, probability and mathematical Moscow State l'niversity; in the same year he was elected a corresponding member of the Academy of Sciences of the Ukrainian Soviet Republic. He held positions in Kuibyshev (1941 to 1944) and Kiev (1944 to 1954) in addition to his appointment in Odessa. He is now retired but remains active in research. Previous recipients of Wolf Prizes in mathe­ matics have been and I. M. Gel'fand (1978), and Andre Weil (1979), and Andrei N. Kolmogorov (1980), and Lars V. Ahlfors and (1981).

1983 MacArthur Prize Fellowships: Efron, Peskin, Robinson In January, the John D. & Catherine T. MacArthur Foundation announced the selection of twenty new MacArthur Prize Fellows, including three mathematical scientists: of Stanford University, Charles S. Peskin of the Courant Institute of Mathematical Sciences, and Julia B. Robinson of the University of California, Berkeley. MacArthur Prize Fellows receive annual awards ranging from $24,000 to $60,000 (depending on age) for five years. "The recipients are free to use Hassler Whitney the money as they see fit without any obligations

145 to the Foundation. The purpose of the fellowships (1901-1983) is to free the individuals from economic pressures so they can devote themselves fully to their own Kurt Otto Friedrichs died January 2, 1983 at research and creative pursuits." the age of 81. He was a member of the Society for Bradley Efron was born May 24, 1938 and 46 years. He served as a Member-at-Large of the was educated at the California Institute of Council from 1955 to 1957 and was a member of Technology (B.S., 1960) and Stanford University the Executive Committee in 1956 and 1957. He (M.S., 1962 and Ph.D., 1964). Since 1966 was Vice President in 1968 and 1969. he has been a member of the faculty in the He delivered the Gibbs Lecture in December Statistics Department of Stanford and is currently 1954, Asymptotic phenomena in mathematical chairman of the Mathematical Sciences Program physics, which was published in the Bulletin, pages 485-504. He was elected at that University. The MacArthur Foundation volume 61 (1955), to the National Academy of Sciences in 1959, and announcement described him as "a theoretical was awarded the National Medal of Science by statistician who, in recent years, has embarked President Carter in 1977. upon research on the structure of parametric Professor Friedrichs was born September 28, inference and a new approach to nonparametric 1901 in Kiel, Germany. He was educated at specification of standard errors and confidence Gottingen (Ph.D., 1925) and held positions at intervals." He will receive $220,000 over the next Gottingen, Aachen, and Braunschweig before five years. moving to New York University in 1937. From Charles S. Peskin was born April 15, 1946 and 1943 until his retirement in 1973 he was professor was educated at Harvard (A.B. in Engineering & of applied mathematics at the Courant Institute. Applied Physics, 1968) and the Albert Einstein He served as associate director and director of the College of Medicine (Ph.D. in Physiology, 1972). Institute between 1953 and 1967. In 1970 he was Since 1973 he has been at the Courant Institute. appointed Distinguished Professor of Mathematics The MacArthur Foundation reported that his in the Graduate School of Arts & Sciences. "principal research interest is the development He represented the Society on the Editorial of computational methods for the flow of blood Board of the Annals of Mathematics from 1946 to in the heart. The goal of this project is the 1948, on the Advisory Board of Applied Mechanics improved design of prosthetic heart valves through Reviews from 1950 to 1954, and in the Division computer testing and an improved understanding of Physical Sciences of the National Research of the fluid dynamics of natural heart valves under Council, from 1957 to 1960. normal and pathological conditions. He has other He was the author of numerous research papers research interests, among them the fluid dynamics in the areas of his interests, which included of the inner ear, membrane biophysical control , partial differential equa­ mechanisms and control of ovulation number. in tions, elasticity, and fluid dynamics. Among mammals." Peskin is to receive $188,000 over the his books are Mathematical aspects of the quan­ next five years. tum theory of fields (Interscience, 1953), Fluid Julia B. Robinson was born December 8, 1919. dynamics (with Richard von Mises, Springer­ She was educated at the University of California, Verlag, 1971), Spectral theory of operators in Berkeley (B.A., 1940, M.A., 1941, Ph.D., 1948) Hilbert space (Springer-Verlag, 1973), Mathemati­ (Courant and has been a member of the department of cal methods of electromagnetic theory Supersonic flow and shock waves mathematics in Berkeley since 1960. In 1976 Institute, 1974), (with Richard Courant, Springer-Verlag, reprinted she was elected to the National Academy of 1976), and Integration of functionals (with Harold Sciences. In 1978 she was elected a vice-president N. Shapiro, Courant Institute, 1976). of the American Mathematical Society and in 1983 she became President of the AMS. According to the MacArthur Foundation, "In her work in Mark H. Ingraham (1896-1982) has used mathematics, Robinson Mark H. Ingraham, since 1966 Professor to solve problems in . Her work on Hilbert's Emeritus of Mathematics at the University of tenth problem was crucial to its solution in 1970. Wisconsin, Madison, died November 14, 1982. Her current activities are divided between her For over a quarter of a century he served the presidency of the American Mathematical Society American Mathematical Society in many ways; he and new research on models of arithmetic." She was an Associate Secretary for fifteen years and is to receive $295,000 over the next five years. served a term as member-at-large of the Council. Previous mathematical scientists who have been In addition, he served as a member of numerous recipients of MacArthur Prize Fellowships are Society committees. Gregory Chudnovsky (1981), David E. Pingree Mark Ingraham was born March 19, 1896, in (1981), Joel E. Cohen (1981), and Brooklyn, New York. He received an A.B. degree (1982). (Cf. Notices, August 1981, page 430; from Cornell University in 1917, an M.A. from January 1982, page 17; October 1982, page 520.) the University of Wisconsin in 1922, and a Ph.D.

146 of the American Association for the Advancement New Address of AMS Secretary of Science and the Mathematical Association of America. His fields of research were algebra, The AMS Secretary, Everett Pitcher, has a theory of matrices and the general theory of linear new mailing address, namely sets. P. 0. Box 2767 Lehigh Valley, PA 18001 1982 ACM Distinguished Service Award The location of the office remains in the same rooms in the Department of Mathematics of Anthony Ralston, Professor of Computer Lehigh University. Science and former chairman of the Computer Science Department at the State University of from the in 1924. He was New York, Buffalo, is the recipient of the 1982 awarded honorary LL.D. degrees from Lawrence ACM Distinguished Service Award. The award is College (1943) and Ripon College (1969), and an given each year by the Association for Computing honorary Sc.D. from Wesleyan University (1947). Machinery in recognition of long-term service to He began his professional career as an instructor the computing community. In presenting the of mathematics at the University of Wisconsin award, the Association cited Dr. Ralston's wide (1919-1921), then served as assistant professor range of accomplishments as an author, educator, there from 1924 to 1926. He was an assistant human rights advocate, and leader of computing professor at Brown University in 1926-1927. In and information processing societies. He was 1927 he became professor of mathematics at the elected President of the Association for Comput­ University of Wisconsin in Madison, where he ing Machinery in 1972 and President of the remained until he retired in 1966. From 1942 to American Federation of Information Processing 1961 he was dean of the College of Letters and Societies (AFIPS) in 1975. He was instrumental Sciences. in the establishment of the ACM Committee Professor Ingraham also served as chairman of on Scientific Freedom and Human Rights and the Division of Committees on Science Education has served as its Chairman since 1980. He is of the National Science Foundation (1960-1967) editor of the Encyclopedia of Computer Science and chairman of the panel of educational science and Engineering and is the author of numerous advisors to the U.S.-Japan Committee on Science textbooks and technical papers on computing and Cooperation (1962 to 1967). mathematical methods. Professor Ingraham was extremely active in Society affairs. He was Associate Secretary from 1982 Prizes Awarded by 1928 to 1943 and served on the Council from 1945 London Mathematical Society to 1947. He was a member of a great many Society committees, including the Committee on Finan­ The Senior Berwick Prize was awarded to J. G. cial Policy (1933, 1934), the Committee on the THOMPSON for his work in . and the Semicentennial Celebration (1936-1938) The Senior Whitehead Prize was awarded to the Finan­ Program Subcommittee (1937, 1938), E. C. ZEEMAN for his contributions to mathe­ of the International Congress of cial Committee matics both by his personal work and by his Mathematicians (1937, 1938), the Budget Sub­ leadership. committee of the Organizing Committee of the awarded to International Congress of Mathematicians (1937, Junior Whitehead Prizes were analysis 1938), the Emergency Executive Committee of the J. M. BALL for his work in applied International Congress of Mathematicians (1939- and toM. J. TAYLOR for his work in algebraic 1946), the Subcommittee on Education for Ser­ number theory. -LMS Newsletter vice of the War Preparedness Committee (1941, 1942), the Committee to Select Hour Speakers Chair in Mathematics for Annual and Summer Meetings (1941, 1942), Dedicated to Abe Gelbart the Committee on Sponsorship of Mathematical Reviews (1945), and the Financial Committee. A three-day academic convocation was held on of the International Congress of Mathematicians the campus of Bar-Ilan University in Ramat Gan, (1948), to list just a few. He also served as AMS , from January 17 to 19, 1983 marking representative on the Council of the American the formal dedication of the Abe Gelbart Chair Association for the Advancement of Science (1929 in Mathematics at the University. More than to 1937), and on the National Research Council, 100 distinguished mathematicians, including two Division of Mathematical and Physical Sciences winners of the Fields Medal, participated. The (1948-1951). Chair, underwritten by New York builder and Professor Ingraham gave invited addresses at philanthropist David Rose, is named in honor of the AMS meeting in Chicago, April 1933 (The the former dean of the Belfer Graduate School of algebraic ground-work for general analysis) and Science at Yeshiva University, who helped develop at the Chicago meeting in April 1939 (Rational the theory of pseudo-analytic functions and served methods in matrix equations). He was a member as editor of Scripta Mathematica (1958-1972).

147 Prominent mathematicians and scientists from meetings is a difficult assignment and involves a variety of academic disciplines delivered papers working with many hotels, convention bureaus, service on the main themes of the conference-analysis, personnel, and individual members. Indeed, the automorphic functions of Lie groups and algebra. success of our meetings is largely dependent upon the Meetings Department staff's ability to gain the Dr. Gelbart, for whom the Chair is named, cur­ best possible cooperation from a large number of rently serves as Distinguished Visiting Professor organizations and individuals who must be cajoled of Mathematics at Bard College. He earned a instead of controlled. Ph.D. degree in mathematics from Our meetings are well run and every attempt Institute of Technology in 1940 and was a member is made to minimize expense and to maximize of the Institute for Advanced Study from 1977 to convenience for our members. The officers of the 1979. He has directed research projects for the Association are grateful to the staff of the Meetings NSF, the Office of Naval Research, and the Air Department in the Providence office for their good Force Office of Scientific Research, among others. work on behalf of the members of the Association. A Fulbright scholar in Norway in 1951, he has The Director of the Meetings Department staff also taught at the Sorbonne in Paris, Syracuse is Hope Daly. Many of you already know Hope. University, the University of Southern California Indeed, hers is probably the most famous name at the Joint Mathematics Meetings. Also, those of you and North Carolina State College. who have dealt personally with Hope have discovered how very important the success of our meetings and Niven Installed as MAA President the solution to your problems are to her. The Association's officers have appreciated very Ivan Niven of the University of Oregon was much the good work of Hope and the members of installed on January 8, 1983 as the 40th President her staff in the organization of the Association's of the Mathematical Association of America meetings. We thought, therefore, that it would be (MAA). The installation took place at a Business appropriate to recognize nearly one decade of loyal Meeting of the MAA, part of the 66th Annual and outstanding service and present to Hope Daly Meeting of the Association held in Denver on the Association's Certificate of Merit. We hope that her with the He will serve a two-year term this small recognition will help provide January 6-9, 1983. courage to continue her good work on our behalf for as President. another five or six decades. Niven, a prominent researcher and author in the theory of numbers, has published some Hope Daly responded by expressing her 70 papers and seven books. In addition, gratitude and appreciation for all the stafr people he has served the Association as First Vice­ (from both the AMS and the MAA) who work at President (197 4-197 5), Associate Editor of the these meetings and said that she would use the American Mathematical Monthly (1957 -1961), check which accompanied the award for a dinner Governor from the Pacific Northwest Section at the next meeting, so that all those who had (1979-1982), and as a member for many years earned the award could enjoy the recognition and of the MAA Publications Committee and many appreciation that it represented. other committees. Professor Niven was educated at the University Bourses Chateaubriand of British Columbia and the University of Chicago, 1983-1984 from which he received his Ph.D. in 1938. Subsequently he held faculty positions at the For the academic year 1983-1984, the French University of Pennsylvania, the University of Government will award fifteen research grants Illinois, Purdue University and, from 1947 to the (Bourses Chateaubriand) to either American present, the University of Oregon. candidates seeking a doctorate in exact sciences - MAA News Release or medicine, or to recent Ph.D.'s of any age. In the first case, the candidates must have attained Hope Daly & Staff Honored by MAA successfully a Master's Degree by October 1983. In the latter case, they should have received their At the Business Meeting of the Mathematical Ph.D. no more than three years ago. These Association of America in Denver on January 8, students must be willing to spend this academic 1983, a special Certificate of Merit was awarded year in a French university, engineering school or to the meetings staff and presented to Hope research laboratory. Daly, Director of Meetings of the American The student's file must show that contact has Mathematical Society. been established between the student and the In making the presentation David P. Roselle, receiving laboratory. Secretary of the Association, made the following The grant will amount to 4500 Francs monthly, remarks: to be received in France for a duration of ten The French Government will pay for the Organization of the Annual and Summer Meetings months. of the Association is carried out by the Meetings return trip. Department of the Providence office of the American Application forms can be obtained by written Mathematical Society. The organization of these request from:

148 Mission Scientifique de l'Ambassade de France Fulbright Scholars 2011 Eye Street, N.W. Available for Lectures Suite 500 Washington, DC 20006 More than 600 visiting scholars from 80 Application files must be submitted no later countries have been awarded Fulbright grants than March 1. The names of recipients will be for university lecturing and advanced research in announced in April 1983. the United States during 1982-1983. Although most Fulbright scholars have a The candidates should be able to express single institutional affiliation, many have broad both verbally and in writing. themselves in French, academic interests and welcome opportunities to It may be necessary to verify this proficiency by visit other colleges and universities. Many of them a French language examination before a final are available for occasional lectures, seminars and decision is reached. special programs. The Council for International Exchange of Scholars (CIES), which administers Graduate Students the Senior Scholar Fulbright Program, announced from People's Republic of that limited funds would be available to facilitate visits to interested institutions, especially to those In an effort to more accurately evaluate the that have had little opportunity to participate in application forms of Chinese students applying educational exchange programs. to American graduate schools, and also to The Council has prepared a directory describing better inform Chinese students about the areas this program and listing by discipline Fulbright of active research in the various American scholars, including those who welcome short-term universities, the AMS and SIAM have established invitations. The entries include topics, home and a committee consisting of C. C. Lin, B. Parlett, U.S. affiliations. A copy of this directory can F. Peterson, M.-C. Shen, K. Uhlenbeck, and be obtained from Mary W. Ernst, Council for P. Griffiths (Chairman). It is hoped that this International Exchange of Scholars, 11 Dupont committee will be able to send participating Circle, N.W., Suite 300, Washington, DC 20036; schools careful evaluations of prospective students 202-833-4979. based on examination and personal interviews. Similar programs have been instituted in Physics, Sociedade Portuguesa de Matematica Chemistry, and Biology. The chairman of any department that is interested in participating in The American Mathematical Society and this program should contact Phillip A. Griffiths at the Sociedade Portuguesa de Matematica have Harvard University, Department of Mathematics, recently concluded a "reciprocity agreement" un­ Cambridge, Massachusetts 02138. der which members of either of these societies - AMS Committee for Chinese Students may join the other at reduced dues. Members of the Sociedade Portuguesa receive as privileges of membership a free subscription to Boletim da International Statistical Institute Sociedade Portuguesa de Mathematica and may obtain a fifty percent discount on subscription to The American Statistical Association is being Portugaliae Matematica. granted a group award from the National Science See the section entitled Reciprocity Agreements Foundation for assistance in travel to the 44th in this issue of the Notices for further details. Session of the International Statistical Institute to be held in Madrid, , September 12-22, 1983, as well as additional meetings taking place before Colloquium Lecture Notes and after. Applications for individual travel grant A set of four Colloquium Lectures was presented awards are available from the ASA office. by Charles L. Fefferman of The selection of the grantees will be made at the annual meeting of the Society in Denver, by a committee representing ASA, IMS and the Colorado in January 1983. Copies of the lecture Foundation. In making awards, priority will be notes, The uncertainty principle (95 pages), are given to applicants who have made significant still available. contributions to statistics and are likely to Requests should be accompanied by a check or continue to do so. Also the type of participation money order for $3 per copy to cover the costs of in the meeting will be taken into account. Some handling, and mailed to the Society at P. 0. Box grants will be made to younger individuals doing 1571, Annex Station, Providence, Rhode Island outstanding work and whose professional growth 02901. The notes, which were distributed to those will be stimulated by attendance at the meeting. who attended the Colloquium Lectures in Denver, The application form should be requested from do not constitute a formal publication. Please Fred C. Leone, American Statistical Association, note that informally distributed manuscripts and 806 15th Street, N.W., Washington, DC 20005. articles should be treated as personal communica­ All award applications must be received by April tions and are not for library use. Reference to the 4. Awardees will be notified by the end of contents of such an informal publication should April. - ASA Announcement have the prior approval of the author.

149 International Congress of Mathematicians Warsaw, Poland August 16-24, 1983

The Organizing Committee has confirmed that After the Opening Ceremony, reports on the work the International Congress of Mathematicians, of the recipients of these awards will be given. postponed from 1982, will be held in the Palace of Invited one-hour lectures will be delivered Culture, Warsaw, Poland, Tuesday, August 16- mornings during the Congress; invited addresses Wednesday, August 24, 1983. in sections, short communications and seminars The Opening Ceremony of the Congress will will take place afternoons with the exception of be held on August 16, at 9:00 a.m. in Congress Saturday afternoon and Sunday when no scientific Hall at the Palace of Culture. The Fields Medals activities are planned. and the newly established Nevanlinna Prize in The Closing Ceremony is scheduled for Wed­ Information Science will be awarded. Recipients nesday afternoon, August 24. were announced at the General Assembly of the During the Congress, an exhibition of math­ International Mathematical Union in August of ematical books will be open in the Palace of 1982. (See the October 1982 Notices pages 498- Culture. 502.) For the Fields Medals, they are Plenary Addresses. On the recommendation A. CONNES, IHES, France; of the Consultative Committee appointed by the W. THURSTON, Princeton University, USA; International Mathematical Union, the Organizing S.-T. YAU, Institute for Advanced Study, Committee has invited sixteen mathematicians, Princeton, USA; listed below, to give one-hour plenary addresses. These lectures are intended to be broad surveys of and for the Nevanlinna Prize, major recent developments in mathematics meant R. TARJAN, Stanford, USA. for a wide audience. The material printed here about the Interna­ V.I. ARNOLD, Singularities of rays systems tional Congress in Warsaw consists of excerpts P. ERDOS, Extremal problems in combinatorics, from the Third Announcement which was dis­ number theory and combinatorial geometry tributed in mid-January by the Organizing W. H. FLEMING, Optimal stochastic control for Committee. Persons interested in obtaining a Markov processes copy of the complete announcement may do C. HOOLEY, Some recent advances in analytical so by writing to the Organizing Committee, number theory Institute of Mathematics of the Polish Academy Wu-CHUNG HSIANG, Applications of algebraic of Sciences, Sniadeckich 8, P.O. Box 137, 00-950 K-theory to topology Warsaw, Poland. P. D. LAX, Solved and unsolved problems in dif­ The U.S. National Science Foundation has ferential equations designated funds to support travel to Warsaw for V.P. MASLOV, Non classical characteristics in participants from the United States. The U.S. asymptotical problems State has control over the release Department of B. MAZUR, Modular curves and arithmetic of the funds. The accompanying statement by MACPHERSON, Global questions in the William G. Rosen (Head, Mathematics Section, R. D. topology of singular spaces NSF) was made in response to a request for information on the availability of travel support. A. PEbCZYNSKI, Structural theory of Banach EDITOR spaces and its interplay with analysis and probability M. RABIN, Computational and ran­ Travel Funds for Warsaw Congress domizing algorithms D. RUELLE, Turbulent dynamical systems The only statement I can make at this time is this: The current ban on the use of Federal M. SATO, Monodromy theory and holonomic funds to support travel to Poland remains in quantum fields-a new link between mathe­ effect, but the U.S. government continues to matics and theoretical physics monitor the situation in Poland closely. 8. SHELAH, On some problems on the continuum January 10, 1983 William G. Rosen YuM-TONG Sru, Some recent developments m complex differential geometry

150 R. THOM, Mathematics and scientific explanation Linear algebra and topology; H. Torunczyk, On Addresses in Sections. On the recommendation the topology of infinite dimensional manifolds. of the Consultative Committee a number of 6. Algebraic geometry: A. A. Beilinson, Locali­ mathematicians have been invited to give 45- sation of representations of reductive Lie alge­ minute addresses in specified sections. These bras; W. Fulton, Some aspects of positivity in lectures are also meant to be broadly conceived algebraic geometry; J. Harris, Progress on the surveys not necessarily limited to the work of the moduli space of curves; S. litaka, Birational speaker. The list of those invited appears below. geometry of algebraic varieties; V. A. Iskovskih, At the time this announcement was prepared 128 Algebraic threefolds with special regard to prob­ mathematicians had accepted the invitation. lems of rationality; S. Mori, Cone of curves, 1. Mathematical logic and foundations of math­ and Fano 3-folds; A. Ogus, Geometry and crys­ ematics: G. Cherlin, Categorical theories; J .-Y. talline cohomology; B. Teissier, Classification des Girard, IT~- logic and its applications to problems in singularites. proof theory; P. A. Loeb, Measure spaces in non­ 7. Complex analysis: W. Barth, Report on standard models underlying standard stochastic vector bundles; J. E. Fornaess, Holomorphic map­ processes; R. A. Shore, The degrees of unsol­ pings between pseudo-convex domains; F. R. vability; A. 0. Slisenko, Linguistic considerations Harvey, Calibrated geometries; G. Henkin, in devising fast algorithms; B. I. Zil'ber, On the Coupled Yang-Mills, Higgs and Dirac fields as structure of models of N1 -categorical theories. solutions of Cauchy-Riemann equations; P. W. 2. Algebra: R. L. Griess, Jr., Sporadic simple Jones, Recent advances in the theory of Hardy groups and the construction of the friendly giant; spaces; S. I. Pincuk, Analytic continuation of M. Gromov, Infinite groups as geometric objects; mappings and equivalence problem in en. J. C. Jantzen, Enveloping algebras of semi-simple 8. Lie groups and representations: J. Arthur. Lie algebras; A. Joseph, Primitive ideals in en­ The trace formula and lifting problems; R. S. veloping algebras; A. Ju. Ol'sanskil, On a geometric Ismagilov, Infinite dimensional Lie groups and method in the combinatorial group theory; C. M. their linear representations; G. Lusztig, Charac­ Hingel, Indecomposable representations of finite­ ters of reductive groups over a finite field; dimensional algebras; C. Soule, K-theory and P. van Moerbeke, Completely integrable hamil­ values of zeta functions of algebraic varieties; R. tonian systems, Kac-Moody Lie algebras and P. Stanley, Combinatorial applications of the hard abelian varieties; T. Oshima, Discrete series for Lefschetz theorem; E. I. Zel'manov, On the theory semisimple symmetric spaces; R. Parthasarathy, of Jordan algebras. Unitary modules with nonvanishing relative Lie 3. Number theory: A. N. Andrianov, Integral algebra cohomology; A. B. Venkov, The spectral representations of quadratic forms by quadratic theory of automorphic functions for a Fuchsian forms: multiplicative properties; J.-M. Fontaine, group of the first kind; M. Vergne, La formule de p-adic representations; R. Heath-Brown, Finding Plancherel et la methode des orbites. primes by sieve methods; D. W. Masser, Some 9. Real and functional analysis: R. A. Askey, recent results in transcendence theory; K.A. Ribet, Orthogonal polynomials and some definite in­ Congruence relations between modular forms; tegrals; J. Bourgain, New Banach space properties W.M. Schmidt, Analytic methods in diophantine of certain spaces of analytic functions; B. equations and inequalities; J.-L. Waldspurger, Dahlberg, Real analysis and ; T. Correspondances de Shimura. Figiel, Local theory of Banach spaces; B. S. Kasin, 4. Geometry: S. Y. Chen, On the real and com­ On certain geometrical problems in the theory of plex Mange-Ampere equation and its applications; orthogonal series; G. Kasparov, Operator K-theory N. J. Hitchin, The geometry of monopoles; A. G. and its applications: elliptic operators, group rep­ Hovansky, Newton's polyhedrons and fewnomials; resentations, higher signatures, C*-extensions; Y. W. Mi.iller. Spectral geometry and non-compact Meyer, New singular integral operators with ap­ Riemannian manifolds; L. Simon, Recent devel­ plications to complex analysis; B. Pavlov, Spectral opments in the theory of minimal surfaces; R. M. analysis of nonselfadjoint differential operators; Schoen, Variational methods in differential G. Pisier, A conjecture of Grothendieck on tensor geometry; E. Vinberg, Discrete reflection groups in products of Banach spaces; D. Voiculescu, Hilbert Lobacevski!( spaces; 0. Viro, The last year progress space operators modulo normed ideals. in the topology of real algebraic manifolds; K. K. 10. Probability and mathematical statistics: D. Uhlenbeck, Variational problems. R. Brillinger, Statistical inference for random 5. Topology: F. R. Cohen, Applications of processes; D. Chibisov, Asymptotic expansions and loop spaces to classical homotopy theory; R. L. deficiencies of tests; H. Kesten, Percolation theory Cohen, The homotopy theory of immersions of and resistance of random electrical networks; manifolds; M. H. :Freedman, The topology of P. Malliavin, Stochastic analysis in infinite 4-dimensional manifolds; S. P. Kerckhoff, The dimension; P. Mandl, Self-optimizing control of geometry of Teichmuller space and the mapping Markov processes and Markov potential theory; class group; Wen-Hsiung Lin, Some remarks on D. W. Stroock, The Malliavin calculus; S. the Kervaire invariant conjecture; J. L. Shaneson, Watanabe, Some problems in stochastic analysis.

151 11. Partial differential equations: A. 16. Combinatorics and mathematical program­ Ambrosetti, Existence and multiplicity results for ming: D. Foata, Combinatorics of orthogonal poly­ some classes of nonlinear problems; J.-M. Bony, nomial identities; R. L. Graham, Recent develop­ Propagation and interaction of singularities for ments in Ramsey theory; L. G. Khachiyan, Con­ solutions of nonlinear partial differential equa­ vexity and complexity in polynomial programming; tions; V. S. Buslaev, Regularizations of many par­ J. H. van Lint, Partial geometries; L. Lovasz, ticle scattering; L. A. Caffarelli, Some geometri­ Algorithmic aspects of combinatorics, geometry cally constrained variational problems; G. Eskin, and number theory. Initial-boundary value problems for hyperbolic 17. Computer and information sciences: R. equations; E. De Giorgi, Operateurs de type G Karp, The probabilistic analysis of combinatorial et r -convergence; T. Iwaniec, Regularity and algorithms; A. A. Letichevsky, Abstract data local stability for elliptic equations related to types and invariants of programs; G. Plotkin, A quasi-conformal theory; S. Klainerman, Nonlinear categorical view of the denotational semantics of hyperbolic equations; A. J. Majda, Nonlinear hy­ programming languages; R. E. Tarjan, Efficient optimization; L. G. perbolic systems; V. Zaharov, Many dimensional algorithms for network Valiant, An algebraic approach to computational integrable systems. complexity. equations and dynami­ 12. Ordinary differential 18. New applications of mathematics: N. cal systems: A. Katok, Non-uniform hyperbolicity Kopell, Forced and coupled oscillators in biological and structure of smooth dynamical systems; A. applications; B. Mandelbrot, geometry and Lasota, Asymptotical properties of solutions, some mathematical problems; Ju. M. Svirezev, stability and chaos; R. Mane, Oseledec 's theorem Sovremennye problemy matematiceskot ekologii. from the generic viewpoint; M. Misiurewicz, One­ 19. History and education: H. Freudenthal, dimensional dynamical systems; G. Sell, Dynami­ The implicit philosophy of mathematics history cal theory and applications of linear dij]"erential and education; A. V. Pogorelov, 0 prepodavanii equations. geometrii v skole; J. B. Serrin, The structure and 13. Mathematical physics and mechanics: M. laws of thermodynamics. Aizenman, Stochastic geometry in quantum field Short Communications. Members of the ICM theory and statistical mechanics; J. M. Ball, can present a 10-minute talk provided they have Energy minimizing configurations in nonlinear registered by April 30, 1983, and have, by that elasticity; 0. Ladyzenskaya, On some nonlinear date, informed the Organizing Commiteee of the problems from the theory of continuous medium; title and appropriate section of the nineteen listed T. Nishida, Equation of compressible, viscous and above. They are also requested to submit an heat-conductive fluids and equation of Bolzmann; abstract in English, French, German or Russian. K. Osterwalder, Recent progress towards the The abstract must be typewritten, using a black construction of quantized fields; L. A. Takhtajan, ribbon, within an area that measures no more Completely integrable systems in quantum field than 17.5 em. wide by 24 em. from top to bottom. theory; S. Woronowicz, Duality in C*-algebras. ICM-82 and the subject matter section should 14. Control theory and optimization: R. W. be indicated clearly at the top of the abstract. Surname and first name or initials, institutional Brockett, Control theory and differential geometry; affiliation, country, and title of the abstract, in H. W. Knoblock, Nonlinear .systems: local con­ this order, should be typed single-spaced on the and higher order necessary conditions trollability abstract. This abstract, if properly prepared optimal solutions; A. B. Kurzanski!, Evolution for and received by April 30, will be reproduced and equations for problems of control and estimation of distributed to all ordinary members on registration uncertain systems; P.-L. Lions, Optimal control of in Warsaw. The abstract should be sent either diffusion processes and Hamilton-Jacobi-Bellman together with the registration form to ORBIS, equations; R. T. Rockafellar, Subdifferential or directly to the Organizing Committee at the properties of the optimal value function in mini­ address in the box at the beginning of this article. mization problems that depend on parameters; J. ICMI Symposium. The International Commis­ Zabczyk, Stopping problems in stochastic control. sion on Mathematical Instruction will organize a 15. Numerical methods: B. Engquist, Computa­ symposium, Mathematics for All. tional far field boundary conditions for partial Proceedings of the ICM-82. Invited addresses differential equations; Feng Kang, The finite and and a report of the Congress will be published boundary element method; R. Glowinski, Numer­ in the Proceedings of the ICM-82, expected to ical solution of nonlineaqr boundary value prob­ appear before the end of 1984. Each ordinary lems by variational methods. Applications; G. H. member of the Congress will receive a copy. Golub, Some inverse matrix problems; Ju. A. Accommodations. Congress Bureau ORBIS Kuznetsov, Matrix iterative methods in subspaces; is handling arrangements for accommodations. C. A. Micchelli, Title not available; M.J.D. Hotels are divided into the following categories: Powell, Convergence properties of algorithms for Lux Intercontinental, Intercontinental, 1st A,B,C, unconstrained optimization. and 2nd A,B,C and student hostels. Because the

152 TABLE I.

Category Single room Double room of hotel w/b W/0 b w/b w/o b

Lux Inter. 66 (330) 89 (445) Intercont. so (250) 69 (345) 1st A 41 (205) 34 (170) 65 (325) 55 (275) B 36 (180) 54 (270) c 34 (170) 53 (265) 2nd A 31 (1 55) 25 (125) so (250) 42 (210) B 25 (125) 21 ( 105) 40 (200) 34 (170) distribution of rooms in the above categories may charged rates shown in Table II. Prices include not conform to the wishes of ICM -82 members breakfast except in category 2nd c. it is in the interest of participants who reserve ac­ m. Student hostels. Reservation in a student commodations through Congress Bureau ORBIS to hostel is possible only on the ten-days basis, that return the registration form, which accompanies is, from August 15 to 25. The charge is U.S. $150. this article, as early as possible in duplicate. This includes bed and board; however, because between hostels and the Palace DEADLINE FOR REGISTRATION IS MAY 31, of the distance of Culture, only breakfast will be served at the 1983. hostels while other meals will be refunded. Thus Participants may choose among the following around 45% of the total charge will be refunded alternatives: in Polish Zlotys. I. Package rate especially for ICM members. You are requested to give several preferences This rate applies only if room is booked for at least for hotel accommodation by indicating first choice five nights from August 15 through August 25, "1", the second choice "2", etc. on the registration 1983; no refund will be possible in case of earlier form. Reservations will be made on a first departure. The package includes room, breakfast come, first served basis. After a booking has and lunch served at the hotel of residence. Table been made you will be informed by the Congress Bureau ORBIS of the name, address and exact I shows the charge in U.S. dollars per night. rate of lodging. All corresepondence regarding Brackets contain minimum charge for five nights. accommodation should be addressed to Congress IT. Bed and breakfast rate. Persons requesting Bureau ORBIS, P.O. Box 146, 00-950 Warsaw, accommodations for less than five nights or Poland. Even if you do not reserve through arriving before August 15 or leaving after August ORBIS you are requested to include information 25 or not wishing to use the package plan will be about your reservation with your registration.

TABLE II

Category Single room Double room of hotel w/b w/o b w/b w/o b

Lux Inter. 83 94 Intercont. 59 70 1st A 51 40 70 59 B 49 58 c 40 58 2nd A 39 28 56 45 B 29 22 40 32 c 18 27

153 Congress Fees. Fees are given in U.S. dollars. the Congress fee to Congress Bureau ORBIS. The The fees for ordinary members of the ICM- deadline for registration is May 31, 1983. 82 are $90 before May 31, $120 thereafter; A registration will be valid only after the for accompanying persons $45 before May 31, Congress fee has been paid. Likewise, a and $60 thereafter. Participants reserving reservation for accommodations will be valid only accommodations through the Congress Bureau after deposit has been paid. The remainder of the ORBIS must also pay hotel deposits: $50 in accommodations can be paid either in advance to categories Lux Intercontinental through 1st A,B,C, the ORBIS account or at the hotel or registration and $20 in other categories. The registration fee desk in Warsaw. No refunds will be possible on and hotel deposit should be paid through an cancellations received after June 16, 1983. ORBIS travel agent or to the Account Congress Travel. The Polish Airlines LOT will offer a Bureau ORBIS 1094-3173, NBP IX OM Warsaw considerable fare reduction on a regular ticket ICM-82. No payments should be sent to the price for every member of the Congress having a Organizing Committee. It is important that the confirmation of booking. Charter flights are also name of the participant and code ICM-82 be available. Information on transportation from indicated on the bank draft. No personal cheeks airport and on excursions during and after the will be accepted. Please keep one copy of receipt Congress is available from ORBIS. The addresses of payment for use on arrival in Warsaw and send of ORBIS offices in the U.S., Canada and Mexico one copy with the registration form. were listed on page 152 of the February 1982 Registration. The accompanying new registra­ Notices, as were the North American addresses of tion form should be prepared in duplicate and LOT. sent with a copy of the receipt for payment for

AMS SHORT COURSE SERIES Proceedings of Symposia in Applied Mathematics MODERN STATISTICS: METHODS AND and some of their good asymptotic properties. APPLICATIONS Hettmansperger then explained how these rank tests edited by Robert V. Hogg could be used to obtain point and interval estimates This volume contains the lecture notes prepared for various parameters, including the regression situa­ tion. These resulting R-estimates are very robust by the speakers f0r the AMS Short Course given in because they are not highly sensitive to reasonable San Antonio on january 7-8, 1980. deviations from the underlying assumptions. The choice of topics from a field as large as Statistics. is a difficult one. The organizers wanted The important topic of regression was continued to avoid any substantial overlap with the short course by considering isotonic regression and time series. on statistics held three years earlier in St. Louis; F. T. Wright showed how to use the method of therefore it seemed very natural to begin with one maximum likelihood to estimate ordered parameters. important topic that is sometimes overlooked in an Then Douglas Martin considered a time sequence of introductory course, particularly one in mathematical data. After presenting a collection of interesting statistics. This topic is one through which the gen­ examples, he discussed appropriate models and their eral public most often hears about statistics, namely, estimates, including robust ones. survey sampling. Wayne Fuller spoke on Samples This book provides an introduction to the statis­ and Surveys, noting the operations necessary in con­ tical topics above. A background of good mathe­ ducting a survey of a human population. In his matics through advanced calculus with a little statis­ article, he explains the construction of a probability tics is adequate preparation for enjoyment of the sample design and the corresponding optimal estima­ contents. The attentive reader will gain a fairly good tors. understanding of the nature of survey sampling, The more general problem of the design and design and analysis of experiments, nonparametric analysis of an experiment was covered by Peter john methods, isotonic regression, and time series. Modern in his Analysis of Variance. These techniques have Statistics: Methods and Applications is an excellent been extremely important in applications and have companion to MAA's Studies in Statistics also edited also motivated a large amount of statistical research. by Professor Hogg. It is clear that even in an elementary design the ex­ perimenter must understand the importance of ran­ domization. Nonparametric statistical methods have played a Volume 23, vi+ 110 pages major role in modern statistics. Two coordinated List price $14, institutional member $11, individual member $7 talks on that subject were given by Ronald Randles ISBN 0·8218-0023-X; LC 80-16093 and Thomas Hettmansperger. Randles introduced Publication date: ] uly 1980 distribution-free rank tests, such as one by Wilcoxon, To order, please specify PSAPMI23N (soft cover)

Prepayment is required for all AMS publications. Order from AMS, P.O. Box 1571, Annex Station, Providence, Rl 02901, or call toll free 800-556-7774 to charge with Visa or MasterCard.

154 ICM-82 NEW REGISTRATION FORM

1. Surname •••.••.••••••.••.••••. First name/s ••••..•...... Title ••••••••• Date and place of birth •••••.••••••..••• Citizenship •.••...... Sex(M or f) ••••

Accompanied by: Sex Surname First name Is (M or f) Age i f under 15 1. ··············-···· 2. 3.

Complete mailing address: ...... telex: ...... phone:

Number of persons attending coctail ••••••• ,picnic Aug.20 ••••• Aug 21

I wish to attend sections: •••••••••••• ,to present a communication: YES NO

2. I request accommodation for ••••• adult/s, ••••• children. Number of single rooms: ••••• , double rooms: ••••• ,beds: •••••• Please indicate at least two choices; first choice by 1, second choice by 2,etc. Lux Inter. Inter. 1A 1B 1C 2A 2B 2C

single Check-in date .•••• ~ double Check-out date •••••

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155 3. I w1sh to taKe part in the following excursions tours:

Date Excursion-Tour No of 1st 2nd per- us s Total choice choice sons

Excursions 1. Old Town 10 2. Wilan6w 6.50 3. t.az i.enk i 6.50 4. Wedding in t.owicz 20 5. Zelazowa Wola 25 6. Dinner 16 7. Cz~stochowa 35 8. Kazimierz D.-Majdanek 26 Post­ 1. Biatowieza 95 congress 2. Krak6w 193 tours 3. Zakopane 204 4. Rzesz6w 180 5. Gdansk 198 6. Olsztyn 145 Transfers hotel-air­ date ...... time ••••••• flight no •••••• 15 port

TOTAL US ~: ••••••••

Accommodation requested after the post-congress tour No •••••• for •••• nights. (rates from TABLE II).

4. Payments 1 ordinary member registration fee us $ ...... (US $ 90 before May 31,83, US $ 120 after) accompanying person/s reg1stration feels us $ ...... Hotel deposit (US $ 50 in Lux Inter. - 1st A,B,C) us $ ...... (US $ 20 in other categories) us $ ...... Excursionis No •••••••••• us J ...... Post-congress tour/s No •••••••••• us $ ...... Transfer us $ ...... Accommodation after post-congress tour us $ ......

Please return this form by May 31, 1983 to: CONGRESS BUREAU ORBIS P.O.Box 146 00-950 WARSAW , POLAND telex: 814728 bkorb pl, cable: ozorbis, tel.: 27620B

156 AMS Trustees Honor Long-term Employees

At its meeting in November, the Society's Board system created by of Stanford, of Trustees unanimously approved a resolution and has been the Society's representative on the citing eight employees in the Providence head­ Task Force on Textual Data Base Structures of quarters office for service extending over twenty or the Graphic Communications Association. She more years. Four employees have just completed is currently the 'local information source' at the twenty years with the AMS: Barbara Beeton, AMS on mathematical languages. Regina Girouard, Ernest Nordman and Sal Trofi, REGINA GIROUARD came to the Society in Jr. Four employees who have served the Society December 1961 to work on the National Register between twenty and twenty-five years are Evelyn of Mathematical Scientists, a project involving Manning (23 years), Raymond Goucher (22 years), data on some 85,000 individuals, which the Society Mary McQueeney (22 years) and Evelyn Soares carried out under a contract with the National (21 years). Science Foundation. Her time on this project. was The resolution of the Board took special note spent keyboarding and proofreading. After about of the fact that these employees had served five months, she joined the Editorial Department. the Society for the number of years indicated, as an editorial assistant. For several months tendered the deep appreciation of the Board and in 1963, she left the Society to have her first expressed the hope "that these persons will still child, after which she returned to work on the be with the Society as long as Muriel Scribean National Register and, later, on the Combined and Ellen Swanson have been." Ellen Swanson Membership List. In 1968 she became assistant to has been employed by the Society for 28 years and the head of the Data Processing Department (now Muriel Scribean for 37 years (see the November called 'Membership and Sales') and became head 1979 issue of the Notices, pages 465 and 466). of that department in 1978. Membership and BARBARA BEETON joined the staff of the Sales is responsible for maintaining the computer Society in July 1962. She worked on special records on all members and customers, as well as projects for the executive director which required inventory and the processing of all subscriptions library research, gathering and analyzing statis­ and book orders. The computer files maintained tical data on publications, subscriptions, etc. by the Membership and Sales Department are also In addition she helped to computerize the sales used to produce the Combined Membership List functions, spent several summers working as and the Mathematical Sciences Administrative conference secretary at the Summer Research Directory (now called the Mathematical Sciences Institutes, prepared proposals, supervised the Professional Directory), and they serve as the administration of grants, and administered the data base for both Employment Information in project Research on Machine Aids to an Editor of the Mathematical Sciences and the Annual AMS Scientific Translations from the Chinese funded by Survey. NSF. (During this period she returned to Brown RAYMOND GOUCHER was hired in May 1960 University and earned an A.M. degree in linguistics as office manager of Mathematical Reviews when while employed full time at the Society.) She was Sydney Gould was Executive Editor. Five years a "charter member" of the Society's Information later he assisted in the move of Mathematical Systems Development (called "data processing" in Reviews from Providence to Ann Arbor when many other organizations) Department where she William J. LeVeque became Executive Editor. In worked on the design and development of bibli­ 1974 his title became Administrative Manager. In ographic functions required for the Mathematical 1980 he returned to Providence as Administrative Offprint Service. Assistant in the Information Systems Development She became the first, and has remained the Department. leading, in-house expert on the computerized EVELYN MANNING came to the AMS in composition system for mathematical text created January 1959 to work for Mathematical Reviews by Science Typographers, Inc. (STI), which the and a year or so later transferred to the Varitype AMS has used for several years for typesetting Department where she remained until 1964. She virtually all of its mathematical journals, includ­ learned to operate the Photon (a not-quite­ ing Mathematical Reviews and related Indexes, computerized photocomposition device used for and several journals published by other organiza­ many years for typesetting AMS publications), tions for which the Society provides composition which she used until it was replaced by a computer services. She has been a pioneer in the Society's composition system in 1976. She transferred to the use and development of the 'lEX composition Composition Department and was a keyboarder

157 for the Science Typographers composition system. and the Compuwriter Compositor, and says she is The following year she transferred to the Editorial only rarely bored with her work, which presents Department where she first proofread STI coding a wider variety of activities than it had in the on computer printouts. She is still involved with past. Mary's work is remarkable for its variety STI coding and is production editor for the Journal and excellence. She composes a great many of the of Differential Geometry, which is produced by 'display' advertisements printed in the Notices; the Society for Lehigh University. making them look more or less similar but also ERNEST E. NORDMAN came to the AMS distinct from one another is not as easy as one to work in the mailroom in October 1962. In might suppose. those days, the office was at 190 Hope Street in EVELYN SOARES was hired in October 1961 Providence and included Mathematical Reviews. as a varitypist. After two years, when the Society His job has, in the intervening years, changed purchased the first of its Photon machines, she by becoming both larger and more complicated, became the first 'stripper' at the AMS, i.e. she as a result not only of the expansion of Society cut and pasted the Photon output to produce activities but also of the proliferation of the the 'camera-ready copy' required for the printer. Postal Service rules and regulations. He estimates When, in 1976, the Photons were discarded, that activities of the mail room have at least Evelyn transferred from the Photon Section to quintupled in the twenty years he has been there, the Publication Makeup Section. She transferred and believes that, with the expansion of the AMS again, in June 1982, to General Services where, membership and customer base throughout the in her words, she now does "a little of this and a world, his familiarity with several languages has little of that." proved indispensable in seeing that things get SAL TROFI, JR. was hired as an assistant where they belong. accountant for the Society in July 1962. Six MARY McQUEENEY started working for the years later he was appointed head of the Fiscal Society in September 1960 when the office was Department. He played an important role in still at 190 Hope Street in Providence. She the development of the Society's computerized began in the Editorial Department and later financial record-keeping systems and for fourteen transferred to the Varitype Department. She years he has been responsible for Society budgets reports that she found the Varitype machines and other financial records. At meetings of fascinating although she no longer works with the Society's Trustees, Sal is always ready with those devices (the machines were very important answers to questions (no matter how difficult) and for many years in the Society's efforts to compose has provided dependable and consistent support the most mathematics it could at the lowest price for the officers of the Society. LKD possible). She now operates the IBM Composer

CONTEMPORARY MATHEMATICS

MARKOV RANDOM FIELDS AND The relation of the study of these models to the THEIR APPLICATIONS problem of cell growth is brought out. Computer by Ross Kinderman and j. Laurie Snell graphics are used whenever possible to illustrate the This book presents an introduction to Markov dynamics of these models. fields has brought random fields and the related topic of infinite inter­ The study of Markov random theory which acting particle systems. The principal concepts and exciting new problems to probability are being developed in parallel with basic investiga­ theorems of the subject are illustrated in terms of models currently being studied. The Ising model is tion in other disciplines, most notably physics. The is often quite used to motivate the concept of a random field. The mathematical and physical literature a more gentle intro­ concept of a phase transition is discussed in terms of technical. This book aims at research. the breakdown of basic probability theorems such as duction to these new areas of the law of large numbers and the central limit theorem. Volume 1, x + 142 pages (soft cover) Infinite interacting particle systems are illustrated List price $11, institutional member $8, individual member $6 in terms of examples and as the dynamic Ising model, ISBN 0-8218-5001-6; LC 80-22764 voter models, contact processes and the stepping Publication date: November 1980 stone model for genetic drift. To order, please specify CONM/1 N

Prepayment is required for all AMS publications. Order from AMS, P. 0. Box 1571, Annex Station, Providence, Rl 02901, or call toll free 800-556-7774 to charge with Visa or MasterCard.

158 Queries Edited by Hans Samelson QUESTIONS WELCOMED from AMS members regarding mathematical matters such as details of, or references to, vaguely remembered theorems, sources of exposition of folk theorems, or the state of current knowledge concerning published or unpublished conjectures. REPLIES from readers will be edited, when appropriate, into a composite answer and published in a subsequent column. All answers received will ultimately be forwarded to the questioner. QUERIES and RESPONSES should be typewritten if at all possible and sent to Professor Hans Samelson, American Mathematical Society, P. 0. Box 6248, Providence, Rhode Island 02940. Queries relative consistency of the axiom of choice. That proof actually establishes the consistency. relative 269. Ludvik Janos (Department of Mathematics, to ZF, of the axiom of constructibility (Y = L) California State University, Fullerton, California which implies the existence of a definable well­ 92634). What is known about isotopy classes ordering (·) = {xiQ>(x)}. Conjecture 1. For any set not provable (since it contradicts F = L). would theoretic formula Q>(x), ZFCI-(Q>(·) is a non principal be accepted by many set theorists as a plausible filter "* ¢(·) is not maximal). Conjecture 2. For principle. It is consistent with the axiom of choic.e any set theoretic formula Q>(x), ZFC is consistent by work of Solovay (Ann. Math. 92 (1970), 1- with "Q>(·) is not a nonprincipal ultrafilter." Reply: 56) provided inaccessible cardinals are consistent; Conjecture 1 is false; Conjecture 2 is true. To recent unpublished work of Shelah may have refute Conjecture 1, one uses Godel's proof of the removed the proviso. (Contributed by Andreas Blass)

159 26th Annual AMS Survey 1982 Second Report A first report of the 1982 Survey appeared in the November 1982 Notices, pages 630-653. It included a report of the survey of faculty salaries, a first report of the survey of new 1981- 1982 doctorates, and a list of the names and thesis titles of the 1981-1982 doctorates included in the Survey. This second report includes an update of the fall1982 employment status of new doctorates, an analysis of faculty mobility, and a report on fall 1982 enrollments and class sizes. The 26th Annual AMS Survey was made under the direction of the Society's Committee on Employment and Educational Policy (CEEP), whose members in 1981 were Lida K. Barrett (chairman), Irwin Kra, Robert W. McKelvey, Donald C. Rung, Robert J. Thompson, and Barnet M. Weinstock. A Data Subcommittee of CEEP, consisting of Lida K. Barrett, Susan J. Devlin, Lincoln K. Durst, Wendell H. Fleming, Arthur P. Mattuck and Donald C. Rung (chairman), designed the questionnaires with which the data were collected. The committee is grateful to members of the AMS staff, especially Marcia C. Almeida, for the diligence and efficiPncy with which the data were collected and compiled. Comments or suggestions regarding this program may be directed to the subcommittee. Employment of Mathematical Sciences Doctorates, Faculty Mobility, Nonacademic Employment and Enrollments, Fall1982 by Donald C. Rung

This report is one in a series of annual reports on employment patterns, enrollment and class size In this article departments in mathematical science~ in the mathematical sciences. It begins with an in U.S. and Canadian universities and four-year colleges update of the fall1982 employment status of new are classified as below. The first six groups consist of departments that have doctoral programs, of which 1981-1982 doctorates, followed by an analysis of Groups I-V are U.S. departments. (The numbers trends in the academic job market based upon indicate how many departments were queried in the the 1982 AMS Survey of faculty mobility. Finally 1981 Survey.) it compares 1981 and 1982 fall enrollment and Group I contains the top 27 ACE ranked mathematics class size for various levels of courses in the departments with scores in the 3.0-5.0 range. mathematical sciences. Group IT contains the other 38 ACE rated mathematics Estimates based on AMS Survey data suggest departments with scores in the 2.0-2.9 range. that 880 full-time positions in U.S. colleges and Group m contains 87 mathematics departments not universities were filled by nondoctorates last fall included in the ACE study. and for 536 of these positions, the department Group IV includes 64 statistics, biostatistics and would have preferred someone with a doctorate. biometry departments. About 87% of these positions were in Groups M Group V is made up of 137 other mathematical and B schools. (See the box for descriptions of the science departments (including 77 in computer science). groups.) While this number does not represent an Group VI consists of 35 Canadian departments in the annual demand for new doctorates it does indicate mathematical sciences. that at this time colleges cannot find enough Group M contains 369 departments with masters' mathematicians with doctorates to fill faculty programs (of which 24 are Canadian departments). positions. The 536 figure is an increase over the Group B is made up of 1,065 departments which offer 350 reported last year. This increased demand for at most bachelors' degrees (of which 34 are Canadian new doctorates is also seen in Table 2 which shows departments). Notes: Group B includes about 100 departments that the number of nondoctorate-holding faculty with no degree programs. Both M and B include members hired (880) is substantial compared to some departments in universities which have doctoral the number of doctorate-holding faculty members programs in other areas, in some cases in other areas of hired (1,321). While the estimated total increase the mathematical sciences. for this year in the size of the full-time faculty Response rates varied from one group to another, (703) is one of the largest in recent years, the with the largest response rate from Groups I, II, and increase for Groups I, II and III is only 87 (Table III. Of an estimated total in 1981 of 18,920 full-time 3). Further the net increase in the nondoctorate U.S. mathematical sciences faculty members, 9,192 are faculty (241) is positive and increasing for the members of departments which responded to the survey. third consecutive year, after nine consecutive For an account of the ACE ratings referred to above years of decline. see A Rating of Graduate Programs by Kenneth D. Roose and Charles J. Andersen, American Council on For the first time in ten years enrollments Education, Washington, D.C., 1970, 115 pp. The showed only a modest increase (4%) with many information on mathematics was reprinted by the categories showing little or no increase. Class Society and may be found on pages 338-340 of the Size also is level with last year (Tables 6 and February 1971 issue of the Notices. 7). Perhaps we can anticipate a period of

160 stable enrollments- except for computer science 635 of the November 1982 Notices, using more courses. Part-time members of the faculty recent information provided by departments and continue to play a significant role in undergraduate the recipients of the degrees. The total does instruction. For example, departments in Groups not include a few more reeipients of doctorates M and B have over four part-time members of the who were reported too late to gather employment faculty (excluding graduate assistants) for every information for these reports. (A supplementary ten full-time members. list of recipients will appear in the April 1983 The number of graduate students increased Notices.) by 3% with departments in Groups I, II and The first five rows in Table 1 refer to those III showing a 5% increase. The percentage of 1981-1982 new doctorates employed by doctorate­ new doctorates taking nonacademic employment granting departments in the U.S. The next dropped slightly to 25% from the 1981 figure of two rows refer to those employed by U.S. 27%, the lowest figure since 1975 (Table 4). No mathematieal scienees departments whieh grant doubt economic conditions account for this as masters and bachelors degrees only. There seem well as the lowest net outflow in recent years to be good job prospects for new doctorates in of doctorate-holding faculty members (94) to departments in Groups M and B. It should be nonacademic employment (Table 5). noted that the survey of enrollments shows that Fall1982 Employment Status 69% of all computer scienee enrollments and 48a;;; of 1981-1982 New Doctorates of all statistics enrollments reported are in M and B departments! Mathematicians prepared to Table 1 contains the fall 1982 employment t.eaeh these courses will find no lack of opportunity status by type of employer and field of degree for to do so at those schools. 860 new mathematical sciences doctorates who received the degree between July 1, 1981, and Faculty Mobility June 30, 1982. The names of these 860 people and This part of the Annual AMS Survey is the titles of their doctoral theses were published concerned with the number of faculty members in the November 1982 Notices, pages 635-653. newly hired from various sourees, as. well as Table 1 updates the corresponding table on page with the number of those individuals leaving

TABLE 1 -1982-1983 EMPLOYMENT STATUS OF NEW DOCTORATES IN THE MATHEMATICAL SCIENCES

PURE MATHEMATICS

"C' "C' :r; tJ .;:: .;::OJ ~~ ., JJ OJ ...... !!J§.f!i .&'54 <::""' 'til§ .r'rJ :;:: CQ

Group I 17 15 20 2 3 2 1 4 1 65 Group II 15 10 6 4 2 2 1 6 .tf) Group III 8 12 7 3 R 2 1 14 1 5(i Group IV 33 1 ] 3!l Group V 1 1 1 26 5 1 2 37 Masters 11 25 9 3 3 11 4 2 9 2 79 Bachelors 20 12 7 3 1 5 (j 2 3 !)!) Two-year College or High &hool 3 1 2 1 4 1 12 Other Academic Depts 4 3 4 27 7 10 12 1 5 73 Research Institutes 3 7 5 7 2 9 2 35 Government 3 2 10 2 7 24 Business and Industry 3 10 5 3 3 38 -16 13 19 li Hfi Canada, Academic 3 2 3 2 r; 3 :l 3 (j 31 Canada, Nonacademic 1 2 5 Foreign, Academic R 10 4 2 1 26 10 9 ;, 3 78 Foreign, Nonacademic 4 8 3 1 9 3 3 5 1 37 Not seeking employ 1 2 :J 1 1 2 10 Not yet employed 3 4 1 2 2 2 14 Unknown 3 3 1 6 1 1 1 2 18 Total 105 124 78 16 25 19R 105 !l8 105 7 39 R60

161 faculty positions and with information on their to doctorate status of individuals who remained as subsequent employment status. The Survey also full-time faculty members in the same department. monitors trends in the percentage of faculty The numbers in Tables 2 and 3 were obtained by members with tenure, and the percentage of extrapolating from AMS Survey data and are not faculty members with doctoral degrees. The actual counts. The various totals of the responses number of departments in each of Groups I, II, from each group were adjusted according to the ... , B responding to the 1982 Survey of faculty fraction of the total faculty within each group, as mobility is similar to that of previous years. reported in the CBMS 1980 report. (A summary of The responding departments represent about half this report is given in the February 1982 Notices, of all mathematical sciences faculty members. pages 139-143.) Nevertheless, Tables 2 and 3 are More than two-thirds of the faculty members believed to give a fairly reliable overall picture of in doctorate-granting mathematics departments current faculty mobility. (Groups I-III) are included among responding Table 2 shows an estimated increase, between departments. fall 1981 and fall 1982, of 462 in the size of the Table 2 shows estimated faculty flow between doctorate-holding faculty and an increase of 241 in the nondoctorate faculty, for an overall increase 1981-1982 and 1982-1983 for U.S. departments. of 703, the largest in a decade. This increase Further analyses for Groups I--III are given in almost kept pace with rising enrollments. Course Table 3. The left side of Table 2 shows enrollments rose by only 4% and class sizes were the estimated numbers of new full-time faculty nearly stable (Tables 6 and 7). members hired from various sources between fall The pattern of faculty mobility obtained by 1981 and fall 1982. The right side of Table comparing the two sides of Table 2 continues the 2 shows the fall 1982 employment status of trend of last year. More full-time faculty members those full-time faculty members (as of fall 1981) are being hired before receiving the doctorate. who permanently left their departments by fall The figure of 880 shown in Table 2 corresponds 1982. The row "graduate school" on the left to the estimate of 435 five years ago (February side includes new faculty members coming from 1978 Notices, page 101). Most (91%) of the departments outside the mathematical sciences, new nondoctorate faculty members were hired by or from mathematics education. Similarly, the departments in Groups M and B. second row in Table 2 includes some moving to or Attrition due to deaths and retirements con­ from departments in other fields or other positions tinues at the yearly rate of about 1% of the total in academia (e.g., in a university computer or faculty. The number of faculty members who statistical laboratory). The number ( +88) in received tenure in their institutions is 403, up parentheses represents a flow from nondoctorate from last year's total of 392.

TABLE 2- FACULTY FLOW 1981-1982 TO 1982-1983

Full-Time Mathematical Sciences Faculty in Four-Year Colleges and Universities in the U.s.

Sources of New l'acult~ Fall 1982 Emplolment Status, Facult~ Leaving

FROM Uoctorate-Holdin~ Nondoctorate TO Doctorate-Holding Nondoctorate

Two-year college Graduate School 510 332 or high school 12 50 Another college or Another college or university position 595 217 university position 482 112 Nonacademic Nonacademic employment 77 101 employment 173 84 Outside U.S. 77 0 Deaths and retirements 116 102 Position outside U.S. 59 3 Graduate or professional school 14 85 Seekin~ employment 12 19 Other sources ( 1) 62 230 Other< ) 79 96 Total lffi" """880 Total 94'i ----ssT

Received doctorate and (+88) Received doctorate and (+88) not moving(2) not moving l4ii9 -rn

Estimated size of full-time U.S. mathematical sciencen faeulty, Fall 1982

Doctorate-holding 15,125 (+462 from Fall 1981) Nondoctorate 4,488 (+241 from Fall 1981) 19,613 (+703 from Fall 1981)

(I} Part-time to full-time in same department. from postdoctoral or two-year college position. etc. (2) Mostly in Group I~ and B departments. (3) No longer full-time in department, unknown employment status, etc.

162 Doctorate-granting Departments of Mathe­ these jobs are in companies in high technology, matics (Groups I, IT, ill). Table 3 gives a computer-information processing, or communica­ somewhat different perspective of faculty mobility tions areas. A significant number are with in and out of the 152 U.S. departments with organizations which do consulting work in opera­ doctoral programs. In Table 3 the sources of new tions researeh, statistics or applied physics, or tenured and nontenured doctorate-holding faculty whieh provide eomputer or data manage­ members are shown, as well as the employment ment services. The November 1980 issue of status of those leaving between academic years Employment Information in the Mathematical 1981-1982 and 1982-1983. Sciences contains lists of the names and addresses Groups M and B. The number of nondoctorate of nonacademic employers of the individuals in­ faculty members hired by Groups M and B cluded in Table 1 on page 608 of thr November departments has been steadily increasing, from 1980 Notices, with an indic.ation of the thesis field about 350 newly hired for fall 1977 to 734 for fall of the employer. 1982. TABLE 4 The M and B departments are very diverse, NEW MATHEMATICAL SCIENCES DOCTORATES ranging from medium-to-large departments in TAKING NONACADEMIC POSITIONS IN U.S. public institutions to quite small departments in 1976- 1977- 1978- 1979- 1980- 1981- private colleges of varying degrees of selectivity. 1977 1978 1979 1980 1981 1982 Besides mathematics instruction, mathematics In Government 62 44 34 37 28 22 departments in Groups M and B often have In Busine as/Industry 136 166 168 165 169 141 responsibilities in applied areas which in larger Total 198 210 202 202 197 163 universities are taken by separate departments of Total new doctorates statistics, operations research or computer science. employed in U.S. 776 734 690 691 732 659 AR mentioned earlier, there are opportunities for % in Govt./Bus./Ind. 26% 29% 29% 29% 27% 25% young mathematicians with a strong commitment to teaching who fit the needs of Groups M or B TABLE 5 departments. ESTIMATED NET OUTFLOW OF Nonacademic Employment of Doctorates DOCTORATE-HOLDING FACULTY MEMBERS TO NONACADEMIC EMPLOYMENT in the Mathematical Sciences 1977 1978 1979 1980 1981 1982 Table 4 is a summary of AMS Survey data on t.he employment of new doctorates during the last Net Outflow 190 190 165 168 116 94 six years 1976-1977 to 1981-1982. Table 5 shows the estimated annual net Table 4 shows a decline in hiring of new outflow of doctorate-holding faculty members to doctorates by business and industry. Many of nonacademic positions sinee 1977. For instance,

TABLE 3- FACULTY FLOW 1981-1982 TO 1982-1983

Full-time Doctorate-holding Faculty in 152 Doctorate-Granting Mathematics Departments in the U.S.

(Groups I, II, III)

Sources of New Faculty Fall 1982 Employment Status, Faculty Leaving FRO!~ Nontenured Tenured TO Nontenured ~

Graduate School 173 Doctorate-granting departments 134 21 Other college or university position 37 6 Another college or Nonacademic employment 31 18 university position 148 30 Deaths and retirements 0 45 Nonacademic employment 19 Position outside U.S. 42 Outside U.S. 31 Seeking employment 4 Other sources 6 Other 17 Total 377 Total 265

Received doctorate and not moving (+10) Received tenure and Received tenure and not moving (+ 119) not moving (+119) 16T """""384

Estimated size of full-time faculty, Fall 1982 Groups I-III

Doctorate, Nontenured 1,266 (+31 from Fall 1981) Doctorate, Tenured 3,885 \+56 from Fall 1981) Nondoctorate faculty 436 (+28 from Fall 1981)

Total full-time Faculty 5,587 (+87 from Fall 1981)

163 TABLE 6- PERCENT CHANGE IN COURSE ENROLLMENTS

By Type of Course, Fall 1981 to Fall 1982 All Type of Course Groups Groups

I II III IV v VI M B Below calculus -1% -17. -3% * * * 1% 07. 0% First year calculus 2% I% 5% * * 3% 3% 5% 3% Statistics * * * 67. * 6% -I% 57. 2% Computer Science * * 187. * 57. * 18% 30% 20% Other undergraduate mathematics courses 4% 57. 87. * * 7% 10% 8% 7% Graduate courses -2% 7% 3% 0% 6% 28% 13% 267. 5%

All courses 2% 2% 3% 4% 6% 5% 5% 8% 4%

*Enrollments in this type of course amount to less than 5% of total undergraduate enrollments for this group of departments. the number 94 for 1982 is the difference of 171 summarized in the November 1980 Notices, pages doctorates shown in Table 2 leaving academia and 610 to 614. 77 hired in academia from nonacademic positions: In summary, the 1982 AMS Survey showed the 1982 number is the lowest in at least ten years; an increase of 462 in the number of doctorate­ no doubt reflecting the economic recession. holding faculty members in U.S. colleges and As mentioned above, the November 1980 issue universities and a corresponding increase of 241 of Employment Information in the Mathematical in nondoctorate faculty members. Most new Sciences shows nonacademic employment of new doctorates (67%) found employment in academic doctorates for the period 1975 to 1980, by positions, while 19% took positions in government employer and field of degree. As might be or industry. There are virtually no unemployed expected 46% took positions in the Virginia to Ph.D.'s in mathematics at any level and there Massachusetts are and 18% in California. In seems to be a shortage of new doctorate faculty addition to the 1980 annual salary survey of new members especially at schools in Groups M and B. doctorates (November 1980 Notices, page 607), the Changes in Enrollments and Class Size AMS surveyed individual Ph.D. mathematicians in nonacademic jobs during 1980. This survey Unlike recent years, enrollments showed an gave information about salaries. The results were increase smaller than normal (4%). Computer

TABLE 7- AVERAGE CLASS SIZE IN FALL 1981 AND FALL 1982 (1981 figures appear in parentheses) Type of Course Groups

I II III IV v VI M B

Below calculus (35) (42) (46) (40) ( 3 I) 36 40 46 39 31

First year calculus (36) (42) (43) (69) (35) (28) 33 42 43 67 35 28

Statistics (45) (56) (34) (29) 44 54 35 29

Computer Science (37) (46) (33) (27) 38 47 33 27

Other undergraduate ( 27) ( 34) (34) (45) (25) ( 16) mathematics courses 27 34 35 48 26 16

Graduate courses ( I 0) 9) ( l 0) ( 17) ( 2 I) 6) ( 10) ( 13) 9 9 10 17 22 7 II 14

All courses (30) (3 7) (38) (33) (37) (45) (33) (27) 30 37 38 32 38 46 33 27 A dash indicates that these courses represent less than 5% of total undergraduate enrollment for departments in this category.

164 science and mathematics courses showed the big­ enrollment may well herald several years of no gest, increase. Table 6 gives the percentage growth in enrollment. increases for various courses. A pleasing statistic Graduate Student Enrollments. Doctorate- was the increase of 19% in junior-senior mathe­ granting mathematics departments in the U. S. matics majors. This increase was not confined to (Groups I, II, III) reported a 5% increase in the Groups M and B. The increase for Groups I, II number of full-time graduate students from fall and III was still a nice 14%. This is the second 1981 to fall1982. Further, the number of entering year of such increases in mathematics majors. full-time first-time graduate students in Groups I, Finally Table 7 compares class sizes for mathe­ II, III increased by 10%. matical sciences departments for fall1981 and fall Departments in other Groups reported similar 1982. Class sizes stabilized in most courses in increases. Again, this was the second year of such mathematical sciences departments. This stable increases.

PROCEEDINGS OF SYMPOSIA IN PURE MATHEMATICS

THE SANTA CRUZ CONFERENCE ON FINITE GROUPS edited by Bruce Cooperstein and Geoffrey Mason

In the last year or so there have been widespread just come of age. This conference was partially sup­ rumors that group theory is finished, that there is ported by a grant from the National Science Founda- nothing more to be done. It is not so. tion. -from the Preface by G. Mason While it is true that we arc tantalizingly close to that pinnacle representing the classification of finite There arc 90 papers in this book by almost as simple groups, one should remember that only by many authors. The major divisions of the book are: reaching the top can one properly look back and 1. Classification theory of finite simple groups, survey the neighboring territory. It was the task of 2. General theory of groups, the Santa Cruz conference not only to describe the 3. Properties of the known groups, tortuous route which brings us so close to the sum­ 4. Representation theory of groups of Lie-type, mit of classification, but also to chart out more 5. Character theory of finite groups, accessible paths-ones which might someday be open 6. Combinatorics, to the general mathematical public. 7. Computer applications, A third concern was the elucidation of topics in 8. Connections with number theory and other fields. related fields, and it is to one of these three areas The table of contents includes so many mathe­ that the papers in this volume are devoted. maticians well known and active in the field that it Just a quick glance at the table of contents l too would be unfair to list a sample. lengthy to be included here] will reveal a wide variety of topics with which the modern group theorist must Volume 37, xviii + 634 pages {hard cover) I h List price $44, institutional member $33, conten d . Sorne of t h ese, f or examp c t e connections individual member $22 with the theory of modular functions, have very re- ISBN o-8218-1440-0; LC 80-26879 cent origins, but they leave us with the clear impres- Publication date: January 1981 sion that, far from being dead, group theory has only To order, please specify PSPUM/37N Prepayment is required for all American Mathematical Society publications. Send for the book(s) above to: AMS, P. 0. Box 1571, Annex Station, Providence, Rl 02901

Plane Ellipticity and Related Problems Sommen, Brackx and Pincket, and Lounesto investi­ gate hypercomplex function theory in Rn, that is Robert P. , Editor the class of homogenic functions having values in a In this collection of papers concepts associated Clifford algebra. with plane-ellipticity are extended in several ways. The remaining talks comprising this special meet­ and Gilbert, For example, the investigations of Begehr ing cannot be categorized as falling into a general Begehr and Hsiao, Hile and Snyder treat systems of group, but rather explore isolated, albeit important, elliptic partial differential equations in the plane topics associated with ellipticity. which resemble in some sense the Cauchy-Riemann equations. Their point of view is to seek general Contemporary Mathematics representation formulas and to use these in some Volume 11, viii + 245 pages {soft cover) $16, solve boundary value problems. Continuing List price $ 21, institutional member cases to individual member $11 with the theme of generalizing the Cauchy-Riemann ISBN 0-8218-5012-1; LC 82-11562 equations, Buchanan treats the Bers-Vekua type sys­ Publication date: September 1982 tems in two complex variables, while Delanghe and To order, pltase specify CONM/11 N

Prepayment is required for all AMS publications. Order from AMS, P.O. Box 1571, Annex Station, Providence, Rl 02901, or call toll free 800-556-7774 to charge with Visa or MasterCard.

165 Freshman Mathematics Panel Discussion, Denver, January 7, 1983 The Society's Committee on Employment and Educational Policy (CEEP) has been charged to inform the membership of the Society on important issues relating to employment and educational matters. In carrying out this charge the Committee conducts the ANNUAL AMS SURVEY and arranges open sessions at national meetings on topics covered by the Committee's charge. Some ten years ago, the Committee's interest in mathematical education was centered at the graduate level. More recently, however, serious problems concerned with undergraduate mathematics, and below, have come to the Committee's attention. Last year CEEP proposed that AMS, MAA and SIAM create a joint blue-ribbon committee to address problems currently facing education in mathematics, with particular attention to the possible need for a determination of professional standards. The Executive Committee of the AMS Council approved the creation of such a committee and the proposal has been transmitted to the other organizations for their consideration. The panel discussion in Denver, entitled Freshman mathematics: Are there alternatives to calculus?, was sponsored jointly by CEEP and the Mathematical Association of America, and was held in order to focus on a problem which the Committee considers to be fundamental and serious. The program was arranged by Irwin Kra of the State University of New York, Stony Brook, a member of CEEP. Because Professor Kra was unable to attend the meeting in Denver, the Chairman of CEEP, Donald C. Rung of Pennsylvania State University, served as moderator in his place. Donald C. Rung, Moderator. This session may although one trained in mathematics and one be considered a continuation of a discussion on who spent a number of years as a professional the future of college mathematics which was held , take a look-a critical look-at last summer (July 1982) at Williams College, and the undergraduate curriculum. Perhaps it is true was concerned with the same general topic. The that more perspective can be attained by someone conference at Williams was funded by the Sloan like myself than can be attained by many members Foundation; the proceedings of that conference of the mathematics community itself and perhaps were published this week and are available at the research community in particular. the Springer booth at this meeting [The future of I would like to begin by reading a quote from a college mathematics, edited by Anthony Ralston new calculus text which is still in manuscript form, and Gail S. Young, Springer-Verlag, New York, written by an eminent mathematician-computer 1983]. scientist. He says " ... during many years of using The first speaker is Anthony Ralston of the mathematics daily, I found the ability to use State University of New York, Buffalo. He will be simple calculus easily and reliably was the most followed by Peter D. Lax of the Courant Institute valuable part of all mathematics I ever learned." of Mathematical Sciences (New York University), Now that may sound to you like a strange quote Gail S. Young of the University of Wyoming, and to begin the kind of pitch you may expect from R. 0. Wells, Jr., of Rice University. me. I suspect that most of you in the audience, no matter what your age, would agree with the Anthony Ralston opinion quoted. What I want to say, however, is that the fact that the current curriculum has I would like to begin by saying how pleased I served all of you well is not a very good reason for am to have been asked to appear on this panel. continuing it per se. It makes me feel like a mathematician who has The question that should be asked is, I think: finally come in from the cold, the cold in this Will the average professional mathematician (of case being computer science. The fact that many say thirty years from now) be likely to make a of you who know me perhaps perceive me as a statement similar to the one I just read? I think computer scientist leads me to begin by making the answer is "no", and for a variety of reasons. the following remarks. The shape of mathematics itself is changing; the I began about four years ago to talk about and shape of science and technology is changing and write about the subject of this panel generally this will force further changes in mathematics; because I perceived deficiencies in the kinds of the shape of society is changing also and this mathematics that computer science students were too will result in changes in what is considered being taught. But my position here today important in mathematics. These three reasons is that the deficiencies in the undergraduate are, of course, by no means independent. As to mathematics curriculum, as I perceive them, the shape of mathematics itself, a traditional view go much beyond just computer science. They would picture it as a great oak with the roots embrace your own students in mathematics and labeled algebra, plane geometry, trigonometry they lead me to believe that the undergraduate and the like, with the the trunk labeled calculus curriculum, particularly its first two years, needs and the branches labeled real variables, complex an overhaul for virtually everyone. Secondly, variables, probability and all the other branches of I would like to note that there is perhaps an higher mathematics. But, as Howard Eves notes advantage to having an outsider, such as myself, in his Introduction to the history of mathematics,

166 today the larger part of mathematics has which are most easily encompassed by the rubric no, or very little, connection with calculus and its "discrete". If you accept this, or even if you extensions." are willing to admit that it has a reasonable I would like to expound for a minute or two probability of being correct, it is hard to avoid on what Eves calls the banyan tree theory of the further conclusion that some changes to the the structure of mathematics. For those of you undergraduate mathematics curriculum are in who, like me, were brought up among the cliffs of order. Manhattan, the idea of the banyan tree may not be One last remark before I spend the last couple terribly evocative. So perhaps I should quote from of minutes talking about alternatives to freshman Eves again by telling you that a banyan tree is calculus itself. Many of you will have seen the " ... a many-trunked tree ever growing newer and announcement last week, which rated a lead story newer trunks" such that from those newer trunks in the New York Times, of the closing of the "a threadlike growth extends itself downward Bethlehem Steel plant in Lackawanna, New York, until it reaches the ground" and "takes root." Is which some of you may also know is a suburb this useful imagery in mathematics? I think so. of Buffalo. Because I live in Buffalo this event Eves goes on to say in his book " . . . mathematics has perhaps a higher call on my conciousness has become so extensive today that one can be a than it has on many of yours. I mention it very productive and creative mathematician and here because it epitomizes changes in the U.S. yet scarcely have any knowledge of the calculus economy which are not irrelevant to what we and its extensions. We who teach mathematics in are talking about. The steel industry in this the colleges today are probably doing a disservice country is, I believe, never going to make a to some of our mathematics students by insisting serious comeback; neither in some sense is the that all students must first ascend the calculus automobile industry. Unemployment in American trunk of the tree of mathematics." Well I do heavy industry is clearly a harbinger of a dramatic not necessarily want to subscribe to every word in switch in our economy from production to service. that quote but, I think it indicates in a very real And just as classical analysis spurred and was sense why we need to think about some changes spurred by the first industrial revolution which in the undergraduate curriculum and in freshman emphasized production of material things so, I mathematics particularly. believe, will spur and be Of course, it is true that the dominance of spurred by the second industrial revolution (if you calculus in undergraduate mathematics is not will) which focuses on the immaterial: knowledge, just due to its intrinsic mathematical importance. communication and the like. It is due at least as much to the marvelous Are there alternatives to freshman calculus? triumphs of calculus and its branches in science More importantly, are there good alternatives? and technology over the past century, triumphs Of course there are! University professors, like which of course dwarf those of all other branches almost everyone else, find it easiest to continue of mathematics and which have resulted not just to do what they have done before. Why change in the requirement of calculus for prospective indeed in the absence of compelling reasons to do mathematicians but for most physical scientists so? Why change a system which has worked and and engineers and, recently and remarkably, even still seems to work? (Although, of course, I cannot for some social and management scientists. But help but note that in mathematics education, the dominance of calculus and, more generally, as in all education, any proof, even any very its relations-perhaps I should say the dominance concrete evidence that things work, is almost of classical applied mathematics-in the applica­ totally lacking.) tions of mathematics is ending, if it is not already I have tried to give you, so far, some over. compelling reasons why change is needed in college Now I should make it clear that I believe, as I mathematics based on changes in mathematics, am sure most all of you and the other members science, technology and society. One more that of this panel do, that classical analysis has many I will mention is that, quite aside from any of important triumphs ahead of it, not least in the changes I have talked about before, changes computer science, but in all other disciplines of in the teaching of large chunks of the calculus science and technology as well. But it is my (particularly, I might note, in integration and belief that by far the largest source of problems differential equations) is going to have to be in applied mathematics in the decades ahead made as a result of the increasing availability will come from computer science and related of symbolic mathematical systems on computers. disciplines and the vast majority of these require I believe that the effect of these systems on the tools of discrete, not continuous, mathematics. what you do in the first two years of college If then, ,,·ith von Neumann, you believe that the mathematics is going to be just as profound as taproots of mathematics lie in its applications, you the effect the hand calculator has had on primary cannot escape from the conclusion that the most school arithmetic. Now I do not advocate, and rapidly growing branches of research mathematics have never advocated, doing away with calculus are going to be, and perhaps already are, those in freshman mathematics. What I do advocate

167 is the following: first a thorough-going rev1s10n to the shop, and there are other disadvantages of the curriculum of the first two years, aimed also: experimentation might be dangerous, might at achieving a balance, and I stress balance, be prohibitively expensive, might be impossible. between the classical curriculum and topics in These are general descriptions. I would like to discrete mathematics. Second, recognition in the become a little more specific and, by giving some curriculum of the first two years that the impact examples, I hope to refute the claim that the new of technology, the kinds of symbolic systems thrusts in mathematics, theoretical and applied, I just talked about, cannot be ignored. And are in the discrete area. I claim otherwise. finally, recognition also that mathematicians may I made an off-hand list (just on the back of have something to learn from computer scientists an envelope) of some areas which are represented about how to teach their subject, particularly at this meeting. The first subject I listed is with respect to more emphasis on algorithms and dynamical systems, where in the last twenty the algorithmic approach to mathematics. years we have seen the development of the KAM I have no time for more details on this now. Let theory. This theory, among other things, solved me conclude with two final remarks. the hundred-year-old problem of the Boltzmann What I believe we need is an alternative to ergodic hypothesis and solved it by showing that freshman calculus which is not a revolution but it is false. This discovery was made quite theoreti­ an evolution, albeit a significant and rather rapid cally, although there is much numerical evidence one. To ignore the need for this evolution will to support it. Numerical experimentation has be, I think, for most of you to short change revealed other unexpected regularities such as not only your own students but those in many the plethora of integrable systems. Numerical other disciplines. And, finally, the subject of experimentation has revealed unusual chaotic be­ this session is not, as I think most of you are havior, such as strange attractors and the in­ well aware, an abstract one at all: many colleges triguing, curious, universal features discovered and universities are already considering changes by Feigenbaum; statistical mechanics, where ex­ in their mathematics curriculum. This process, I citing developments in critical phenomena have believe, will probably accelerate in the next couple been made, for instance, as presented in the of years at least because, as a followup to the striking lecture by Professor Aizenman earlier this Williams Conference which was mentioned before, afternoon, quantum field theory with Yang-Mills the Sloan Foundation is planning to support at rearing its noble head; very unusual numerical various colleges and universities a number of methods introduced by physicists, but also being pilot programs concerned specifically with redoing used by mathematicians, a kind of re-scaling that the curriculum of the first two years of college is called renormalization group. mathematics. I should mention that most of the sciences, physics, chemistry, meteorology, having the Peter D. Lax old divisions between theoretical and experimen­ tal branches have now an honestly established The topic of this panel discussion is the and respected new branch called computational education of future mathematicians in the first science. As we have experimental physics and year or two of college. This has to be based theoretical physics, so we have computational on what we perceive today to be the thrust of physics. Behind all these computational sciences research; and to estimate that, we have to look are numerical methods, in many cases numerical at the recent past, the present and make shrewd solutions of partial differential equations. The new guesses about the future. As a general statement ideas and new techniques that have come to the the one striking significant difference in the last surface or were invented in the last twenty years ten, twenty years has been the emergence of the are quite impressive: difference schemes, finite ele­ computer. ment methods, spectral methods, pseudo-spectral Two years ago at the San Francisco meeting I methods, random choice methods, Monte-Carlo gave an hour talk on the impact of computing on methods, strange ways of treating vorticity, ways mathematics (that talk is almost written up); there of treating shocks. A great deal of that originated I talked mostly about the impact of- computing in the part of universities that is the locus for on theoretical mathematics, but of course the numerical analysis: originally the departments of impact on applied mathematics has been just computer science--today, however, departments as great, nay greater. I will single out one of computer science have almost completely given general phenomenon in all the high technologies: up on these. the striking replacement of experimentation for Of course, not all development in mathematics purposes of design by numerical modeling. The is linked to the computer. There are notable reason for that is easy to see; numerical modeling advances in several complex variables about is cheaper and more flexible than doing an which Ronnie is more fit to speak than I. experiment. If you want to change something Partial differential equations, the idea of pseudo­ on a model you have only to type in a few new differential operators, Fourier integral operators, numbers. In the experiment you have to send out so ably described by Charlie Fefferman in his

168 Colloquium series, are tools able to solve problems I took calculus at Tulane as a sophomore in in diffraction theory, distribution of eigenvalues, 1936. I taught it most recently at Wyoming last and so on, that were intractable with the old year. In all that time, 48 years, the course has not methods. changed. However, then we were actually better Anyway, this list is long enough, but if you ask prepared for it. Everyone in my class had a solid what is common to all these developments, which year of college algebra, trigonometry and analytic are both intellectually exciting and so crucial to geometry, and a background uniform throughout applications, it is analysis employing calculus. the class. I have taught calculus at three different So I see no justification for the bold claims universities in the past four years and none of the that calculus is only one trunk among many. students I taught had a comparable background. If in teaching future mathematicians we under­ I don't want to be interpreted as saying that emphasize calculus, then we are shortchanging my calculus sequence was in some Golden Age, them and presenting to them a small part of to be returned to. I could have had much better mathematics in place of the whole of it, which is training then. I discovered Courant's Calculus in a crime. the Tulane library and was overwhelmed by it, Thus there is nothing wrong with making and by the realization that, somewhere, it was a calculus the centerpiece of the education of future first-year text. We would have been much better mathematicians in the first two, the most crucially served then if we had spent our time taking the formative years. So what is wrong? Surely two years to go through Courant. something is wrong. My class at Tulane was composed of engineers, What is wrong is that the teaching of calculus physicists, and chemists, except for me. I was the is very poor and that texts, methods, points of Tulane math major that year. The needs and the view, have not kept up with research. Of course emotional set of that group, as perceived then, college teaching always lags behind, but the lag in determined the structure and goals of the course. calculus has been tremendous. To me the agenda The needs of that 1936 group are still shaping of the nation, to which I hope Sloan will also the course, and continue now to shape the course, give generous support, is how to teach calculus despite two remarkable changes: first, that group, in the modern spirit; and for that, the impact the engineering, mathematics, physics students, of computing must be taken into account. Tony needs something quite different. Second, that is Ralston mentioned, for instance, manipulation of not our only constituency. formulas; that is indeed a splendid thing and Some figures will help. From 1975 to 1980, would make the teaching of calculus easier. freshman enrollment in four-year colleges and Two colleagues and I have written a calculus universities dropped 3%. In that time, enrollment text in what I hope was this modern spirit. We in calculus and the standard precalculus sequence did not do it to make money although we did not rose 39%, with calculus itself going up 30%. In expect our aims to be so spectacularly realized. courses at the level of calculus, or below, four students out of every five are in the calculus Some pensees d'escalier: sequence. (1) The middle-aged among us well remember all In 1980 half a million students took calculus; those predictions made twenty-five years ago that implies that nearly one out of three about how important discrete mathematics is undergraduates takes calculus in his program. going to be in the social sciences. Today They are not all in the EMP fields; only 11% of it is clear that these predictions were great the bachelor's degrees in 1980 were in those fields, exaggerations. a figure rather stable for some years. Only about (2) The way calculus is taught to physicists and one student out of every three in calculus could engineers need not differ from the way it is expect to get an EMP degree. The others are in taught to mathematicians. calculus and in the precalculus sequence because, (3) A very challenging problem is what mathe­ in the first place, that is what we offer. They matics to teach to computer science students do not have much choice. The other reason is and how; the search for answers should not be that their fields have become more mathematical, left entirely to enthusiasts of discrete mathe­ largely because of the computer, and the people matics. in their fields think that they should have a better background. Gail S. Young At Wyoming, ninety-five percent of the students are in programs requiring some mathematics. My two predecessors have talked at a very high We do not really know-and this is national­ intellectual level and we simple ranchers from the why the requirements are there, or what the high mountain country simply cannot beat that. students really need. Why do students in In any case, I am not talking about the education Range Management need mathematics, and what of the potential mathematician, but about the mathematics? In a sense, we have the typical first two years of mathematics for the general problem of the consulting applied mathematician. undergraduate. His client has a problem that he thinks he has

169 formulated mathematically, and the first task of year ago, on inexpensive symbol manipulation. the consultant is to find out what problem the (See also his article in The future of college client really needs solved. mathematics, mentioned above.) I had been One part of our clientele overlaps many others. thinking that was ten years away and it may That is the group of those who are in computer not be. That is one thing which will provide science or are going to take quite a bit of computer time, I believe, 'for getting in all the ideas we science because they need it in their work. It need in calculus and supplying the techniques is as important for these students to get a good without the human turning into an start in computer science as it is in mathematics. machine. John Kemeny, in our book, estimates But mathematics, the proper mathematics, can be that with present computer methods, even without a tremendous help in learning to understand automatic symbol manipulation, one could cut the computer science. AB an illustration, let time for calculus in half. If anything like that is me quote a statement written last January true, we can put more things in. by Harlan D. Mills, a well-known computer When I talk about computational numerical scientist at IBM: "It is fundamental in computer analysis that does not imply at all any change in science and software engineering to understand standards of mathematical rigor. When you come programs as mathematical objects which can down to it, the essential ideas in computation are be reasoned about with mathematical rigor. error and control of error. Error and control of Very few programmers today understand the error is epsilons and deltas. Except that you really difference between a program as a mathematical have to be able to handle epsilons and deltas to object and its representation in this case in a control error (which we have not really taught ." We have courses in very well in calculus). When you are trying to our present curriculum which help provide the program a computer, also, you have to be much necessary sort of mathematical maturity implied more precise in your statements than we have been in that quotation, but they are all past calculus. in our first couple of years of mathematics. If Calculus-the calculus I took and teach-does you want a computer to handle complex numbers, not particularly help. for example, you cannot talk to it in terms of I like to think in terms of a two-year curriculum. a mysterious symbol which is the square root of Perhaps some of it will eventually get into the high minus one. You have to talk about something schools, but I think the goals of the first two years like ordered pairs and defined operations between should be: ( 1) provide a basis in analysis for further the ordered pairs. If you do not give a student work, (2) introduce the ideas and the methods some feeling for that sort of mathematics he is of computer-based numerical analysis (that has not going to master computer science very well, become terribly important), (3) rather closely and most of our people have to. related, give the student training and experience There are no easy answers. Rethinking in programming mathematical problems (I think freshman and sophomore mathematics is going one of our professional disgraces is the fact that to be a difficult intellectual project and I do not in 1980 only 3% of the students in calculus were underestimate the difficulties of implementation in courses which use the computer at all-despite of a new curriculum, if we have one. But we must the fact that virtually everyone who finishes face them or become irrevelant to the needs of our our courses is going to be using the computer students. I do not know whether we will succeed. extensively), and (4) give the students some I am optimistic, but I am reminded of the story understanding of the algebraic and logical basis of the Rabbi who was visiting God during the of computer science techniques. I include here creation. He stood by God's side for the first six and recursive definition. days watching what was going on. At the end of If you have never looked at Donald Knuth's Art the sixth day God turned to him and said " Well, of Programming, look at his volume 2 sometime are you optimistic or pessimistic?" The Rabbi and see the sort of basis that eminent computer frowned, shrugged his shoulders, shook his head scientist thinks the computer scientist should have and said "I'm optimistic." God was surprised. in mathematics. Peter mentioned Lax, Burstein God said ''You're optimistic, but why are you & Lax. I was planning to mention it also, because shaking your head and frowning?" The Rabbi I have a very high opinion of that book. I think it said "I'm optimistic, but I don't know if I'm is the American successor to Courant and it is the justified." only text I know of that addresses these problems seriously. Anyone thinking about the future of R. 0. Wells, Jr. calculus should read that book very carefully. It is chock full of ideas. Some time ago Irwin Kra called me and asked Let me comment briefly on a couple or" the things me if I would participate in this panel. He put it I said. Tony mentioned symbol manipulation and to me in the following way: "Would you be willing its probable impact on the first two years of to defend the traditional calculus curriculum?" mathematics. Some of you would have seen an I said "Well, I don't really know, but I'll be article by Herb Wilf in the Monthly, January a glad to participate, because I think there are

170 serious problems with the curriculum that we van der Waerden, wrote a text, Moderne Algebra, have today." which was revolutionary. Some ten or fifteen I think that the debate we have here, that years later Birkhoff and MacLane at Harvard has been instituted by the books which have decided the material was important enough to try it to undergraduates. What they did was already been published, is a very healthy one and to teach revolutionary: they wrote A Survey of Modern different views, is important. I have somewhat Algebra and people started to teach it at the however, on some of the issues that have been undergraduate level. Well this was a revolution, brought up and I will make some remarks on that. nobody had ever done this before. I might say that it is intimidating to be on a Now some of those concepts in algebra, not just panel where you thought about this a little bit words like "group" but some of the fundamental and two of the people in the panel have co-edited rules as well, have filtered down and become part a book on the subject and have spent a lot of time of the language of the working mathematician. and energy thinking about these things. Even if you are teaching a course in calculus Let me make a few remarks about the evolution you cannot avoid them; nowadays engineers learn of curricula in general. First of all, the traditional about groups of matrices and things like that. things become commonplace, and this curriculum that we have now has evolved over a Certain brings me to my next topic. long period of time. It may seem stagnant in some One of the important roles of mathematics in sense but, in other senses, various changes have society is not only the ability to solve problems, been made, not withstanding the thirty-odd years but the ability to invent languages in which you that were mentioned. I was a freshman at Rice can express problems. For instance, the calculus in 1958. I took analytic geometry and calculus is a way of solving certain problems as it was at that time. They spent a whole semester on evolved by Fermat, who invented the max-min analytic geometry and another semester on the principal. He knew how to differentiate and he beginnings of calculus. Then they spent a whole knew how to integrate, but he did not know the year teaching how to compute integrals. That relationship between them. This was established was the whole two-year period. Now that same by Leibniz and Newton and that was a great thing is done in one year, with a sort of passing achievement. Nevertheless, if you talk to an mention of analytic geometry; they assume you engineer, or a physical chemist or a modern have learned that in high school and, in fact, biologist, you have to know how to express certain problems in terms of a language, and perhaps half of the Rice freshman have already dynamical calculus and its derivative subjects play a role in to had calculus in high school and are moving on that that is fundamental. When you are teaching other parts of the curriculum. We have very good calculus, one of the problems is the fact that the students and we are fortunate in that respect, so engineers and the physicists want you to teach it this is not necessarily indicative of what is going more quickly, so that they can use that language. on everywhere. One comment that is important The physicists want partial derivatives sooner so is that high schools have an important role in the they can write down Maxwell's equations, etc. I education of students in these subjects and cannot think high schools will play a role in this in the just leave it to college professors to see that their long run. students get their educations somewhere else. Discrete models I think are very important but There is an evolution in teaching at all levels I think that so far in the study of the real world and calculus is filtering down, as are many other that we live in, the world of chemistry, biology, parts of engineering and certainly physics, parts of modern mathematics. l perceive of many the continuous models of things have so far been mathematics as coming in three branches really. the fundamental ones. An extreme example of Algebra evolved from the Babylonians, geometry a discrete model which may be important some came from the Greeks, and analysis from the day is one in which quantum mechanics and work of applied mathematicians (at the time of relativity theory come together, which occurs at the Greeks), evolving in the great developments the order of magnitude of 10 to the minus 33 in the Renaissance and afterwards. What has centimeters. Down at that level, some people like happened in modern mathematics is that you Steven Hawking think that there will be a discrete cannot do algebra without knowing geometry and model of the universe, but that is very small, 10 you cannot do geometry without knowing analysis; to the minus 33 centimeters. But above that, we they are becoming more and more intertwined. still need to worry about continuous phenomena So, when you say calculus, one forgets that in the world we live in. has had very there are other parts of mathematics, of modern I think that modern mathematics strong, vigorous interaction with all of these things are filtering down too. I will mathematics that and that the modern scientist has to come to give you one very important example from the grips with learning a lot of modern mathematics. twentieth century. In the 1920s Emmy Noether, One of the things that has impressed me for a formidable mathematician, founded a whole some years, is that there has been a tremendous new approach to algebra. She had a circle of interaction between mathematics and physicists. I young students around her who were very much watch some of the young Ph.D.'s in physics come influenced by her ideas and who believed here out knowing an awful lot more mathematics than was something really new. One of these students, I knew when I got out of graduate school.

171 Letters to the Editor

J ankov in Prison Warsaw Congress EDITORS' NOTE. The following letter was sub­ The Executive Committee of IMU has decided mitted by a mathematician who reported that it that the ICM should take place in Warsaw in was written by some friends of Jankov. August 1983. The Committee acknowledges that it had "considerable difficulty in reaching its decision" and that "information and views On August 9, 1982, V. A. Jankov [B. A. 5IHKoa], received did not point in a single direction." a mathematician and programmer, was arrested With all due respect, I believe the decision to be and placed in Lefortov prison, Moscow. It seems mistaken. probable that Jankov will be charged with "anti­ Soviet agitation and propaganda" (up to seven The Committee states that Vice Prime Minister years of imprisonment) for a paper containing Rakowski confirmed that the Polish Government planned to cancel martial law by the end of 1982. an analysis of USSR Trade Union laws and It is not being canceled; it is being suspended and commentary on the Polish trade union movement can be reimposed immediately (without recourse (Solidarity) and its suppression by the military to the Sejm) when the government decides to do government in Poland. so. The government understands the distinction; V. A. Jankov was a student of A. A. Markov. Solidarity, 'suspended' on December 13, 1981, is He published a number of valuable papers now outlawed, that is, canceled. in mathematical logic and foundations (super­ The Sejm has already enacted laws which intuitionistic. c.alculi). His most recent employment institutionalize many of the most oppressive was as a programmer. For the past three years features of martial law. The Roman Catholic Jankov has requested permission to emigrate, but bishops of Poland describe the resulting political Soviet authorities have refused without giving any situation as "feudal" and say that the Polish grounds for doing so. people are thereby subjected to "psychological YOUR protest can help him! terror." Internees have been released, but there have been many recent arrests of political and trade union activists and there has been no amnesty for those sentenced in military trials (which continue). Press censorship persists and the riot police continue to do their work. The Council of Bishops, in a letter to the parliamentary leadership, assert that "the government is moving in the wrong direction. . . sharpening the rigors and repressive character of the regulations." It is fear and not the desire to cooperate which accounts for the absence of demonstrations­ Policy on Letters to the Editor workers face unemployment (at best) and students Letters submitted for publication in the Notices are face not merely assault but suspension from school reviewed by the Editorial Committee, whose task is or university if they show their discontent. to determine which ones are suitable for publication. The publication schedule requires from two to four The Committee enjoins us to respect the "non­ months between receipt of the letter in Providence and political nature" of the Congress. Brezhnev publication of the earliest issue of the Notices in which must be smiling as he lies snugly under the it could appear. Kremlin walls! It is impossible to perform a I Publication decisions are ultimately made by majority non-political act in the context of present-day vote of the Editorial Committee, with ample provision Poland. By holding our congress in Warsaw, we for prior discussion by committee members, by mail or at meetings. Because of this discussion period, some mathematicians are bestowing respectability and letters may require as much as seven months before a legitimacy on a regime which is repressing the final decision is made. Polish people. Let others with stronger stomachs The committee reserves the right to edit letters. sit through the opening ceremony appreciating The Notices does not ordinarily publish r.omplaints the doubtless sincere welcome of Jaruzelski or his about reviews of books or articles, although rebuttals colleague--! will not be there. I had very much and correspondence concerning reviews in the Bulletin of looked forward to participating as a featured I the American Mathematical Society will be considered for publication. speaker in the ICMI Symposium to be held Letters should be mailed to the Editor of theJ alongside the congress--but this is a privilege my Notices, American Mathematical Society, Post Office consc.ience tells me I must forgo. Box 6248, Providence, Rhode Island 02940, and will be Peter Hilton acknowledged on receipt. ------Battelle Research Center, Seattle

-'l 1lw Alain Connes An additional aspect of the attack upon Pales­ Reading the October 1982 issue of the Notices tinian education in the occupied territories is the (page 499), I was surprised to discover that Alain Israeli government's determination to implement Connes had been employed by the Centre National Military Order 854 which- in contradiction to de la Recherche Scientifique only from 1970 until international law- -authorizes the Israeli govern­ 1974. The truth is that he was indeed hired again ment to intervene in the selection of faculty by the CNRS in 1979 and is, since then, Directeur and students, and in the setting of curriculae i~ de Recherche there, in fact the youngest among institutions of higher learning. all disciplines in this top position. This decision Let me conc.lude with the remark that the was not easy to reach in view of the very limited university c.losure as a reaction to students' number of possibilities. Many mathematicians demonstration is an unjustifiable form of collective put many efforts to obtain it. It is well known punishment. Were the Hebrew University treated that IHES is indeed the place where one can meet in a similar fasion. there would hardly be any Alain Connes, but it is only a host institution, teaching there. CNRS being his true employer. I urge the American Mathematical Society to The point of my letter is not to claim for call upon the Israeli government to reopen Birzeit the CNRS any right on Alain Connes' work, University and to rescind Military Order 854. but rather to give justice to all colleagues who Shaul R. Foguel made the thing possible, especially considering Hebrew University the small number of top positions reserved for EDITORS' NOTE. Professor Foguel's letter was mathematicians among all scientists in CNRS. received in Providence on September 13, 1982, J.P. Bourguignon several weeks after the Council discussed the CNRS closing of Birzeit University at length in Toronto. The letter was submitted to the Council for Birzeit University possible discussion at its meeting in Denver (along I have learned that the Council of the American with other material on the same subject), but at Mathematical Society has a resolution about the that meeting the Council declined to reopen the closing of Birzeit University on its agenda. discussion of the closing of Birzeit University. As an Israeli mathematician and a member of the Israeli Committee for Solidarity with Birzeit AMS Seal University, I would like to bring my views to the With reference to William A. Beyer's question attention of the Council and to have this letter published in the November 1982 issue of the printed in the Notices. Notices, page 629, I observe the following. The closure of Birzeit University for three The short form of the motto (numbers 1 and months is not an isolated act on the part of the 3) occurs first in a scholion to the Greek orator Israeli military authorities. Twice before during Aelius Aristides that probably dates to the fourth the 1981-1982 academic year the university was century A.D. The long form (number 2) is attested closed down; the total time lost was seven months. only in a work by the 12th century Byzantine Even when the university was officially open, its scholar, Johannes Tzetzes, the Chiliades (8.972-3). effective functioning was severely disrupted by a lt is worth noting that the motto was certainly policy which can only be described as systematic not inscribed over the door of the Academy m harassment. Particularly during the period after Plato's lifetime-and probably never at all. · the second reopening on April 19, the student Howard Jacobson community was subjected to nightly raids by University of Illinois, the army on the dormitories and to arbitrary Urbana-Champaign detention and humiliation.

173 National Science Foundation News & Reports

New NSF Director: Edward A. Knapp foreign agency by foreign institutions. Proposals should be prepared according to standard NSF On November 2, 1982, President Reagan guidelines, but must also contain a section on announced the appointment of Edward A. Knapp "International Cooperation," which describes in as Director of the National Science Foundation. detail the cooperative aspects of the work plan and Dr. Knapp, a physicist, has served as Assistant the mutual benefits to be obtained. Proposals for Director of NSF for Mathematical and Physical joint research and seminars should be submitted Sciences since September 10, 1982. Prior to his at least six months before the requested starting appointment he had been head of Los Alamos date; for short-term visits, three months. For National Laboratory's Accelerator Technology further information, call Deborah Wince, Division Division. He succeeds John B. Slaughter who is of International Programs; 202-357-9516. now Chancellor, University of Maryland, College -NSF Bulletin Park. - NSF Bulletin Scandinavia and the Netherlands U.S.-China Program Cooperative Science Programs Initiates Short-Term Visits NSF's Scandinavia and the Netherlands NSF's U.S.-China Cooperative Science program Cooperative Science programs are considering will support a limited number of short-term visits proposals for these countries, with support offered to China (one to two week's duration) to allow for threP types of activities: cooperative research U.S. scientists to work more closely with a Chinese projec.ts, joint workshops/seminars, and short­ colleague in developing a proposal for c.ooperative and long-term research visits. research in specific areas of special current interest. There are no deadlines for rec.eipt of these Among the areas are engineering sciences (heat proposals. For information, write or phone Henryk transfer and fluid mechanics) and related topics Uznanski, Division of International Programs; in applied mathematics; information seiences 202-357-7554. -NSF Bulletin (artificial intelligence, pattern rec.ognition, basic computer sciences, computation theory); and U. S.-Republic of Korea systems analysis (operations research and decision sciences). Cooperative Science Further information may be obtained from the In the program of U. S.-Republic of Korea U. S.-China Program; 202~357-7393. -NSF Bulletin Cooperative Science, proposals for cooperative research, short- and long-term visits, and semi­ United States-Eastern Europe nars may be submitted in the following areas: the natural and engineering sciences, including Cooperative Research mathematics and related social sciences and in NSF's Eastern Europe Cooperative Scienc.e the emphasis areas of forest diseases and in­ programs seek to foster and support sc.ientific and sect pests, biochemical engineering, and marine technological cooperation between the U.S. and science. Deadlines are January 1 and July 1 for Bulgaria, Hungary, and Romania. The Division submission of proposals for cooperative research, of International Programs administers activities long-term visits and seminars. undertaken under this program in the U.S. and For further information, write or phone Gerald maintains liaison with foreign agencies. A. Edwards, Division of International Programs; The following general guidelines have been 202-357-9537. -NSF Bulletin established: 1) both the U.S. and the foreign country must approve each project, 2) each Visiting Professorships for Women country will support the cost of research and other scientific ac.tivities taking place within its The Visiting Professorships for Women program territory and 3) contributions to the program by was instituted to encourage women to develop the U.S. and the foreign country involved should careers in research in the disciplines of scienc.e be on an approximately 50-50 basis. and engineering, and to provide greater visibility The program offers financial support for for women scientists and engineers in industry, cooperative research projects, seminars and government and academic research centers. In workshops, and scientific visits for planning pur­ providing support for the program, NSF is poses. Proposals must be submitted to NSF addressing the need to make full use of the by American institutions, and to the appropriate scientific and technical resources of the nation.

174 Information about the guidelines and the Management: Two- and Four-Year College Re­ program may be obtained from M. Joan Callanan, search Instrumentation, Minority Research Initia­ Division of Research Initiation and Improvement; tion, Research Improvement in Minority Institu­ 202-357-7734. -NSF Bulletin tions and NSF Visiting Professorships for Women. It also includes two programs previously located Swiss National Science Foundation in the disestablished Division of Intergovernmental Fellowships Announced and Public Service Science and Technology: Intergovernmental Science and Technology and The Swiss National Science Foundation (SNSF) Ethics and Values in Science and Technology. annually awards a few International Postdoctoral Room and telephone numbers of the person­ Fellowships for tenure in Switzerland to American nel associated with the new Division remain scientists working in the mathematical, physical, unchanged. For further information, contact astronomical, atmospheric, earth or engineering Alexander Morin, Director of DRII; 202-357-7552. sciences. -NSF Bulletin Subject to availability of funds, a few fellow­ ships will be awarded for tenure beginning between Public Understanding of Science September 1, 1984, and April 1, 1985. However, For more than twenty years NSF has been the selection procedures are likely to be changed, developing a program to enhance the public's and applications for these will be due at NSF by understanding of science and technology. In October 3, 1983. 1976 the emphasis of the program became more Further information is available from Warren directed toward the needs of distinct audiences Thompson, Division of International Programs; and how to meet them. Since then an increasingly 202-357-9700. -NSF Bulletin large spectrum of the public has been successfully targeted through museums, public radio and TV, Report on Federal Funding workshops and demonstration activities-all in an to Predominantly Black Colleges effort to breach the barrier between the "expert" and the "layman." A special report, entitled Resources Support­ The Summary of Grants and Activities, Public ing Scientific Activities at Predominantly Black Understanding of Science, FY 1976-1981 contains Colleges and Universities (NSF 82-11), has descriptions of awards made during that period, been released by NSF's Office of Planning and as well as statements of the strategy and goals Resources Management. The report presents in­ that underlay the development of the program, formation on the overall levels of Federal funding particularly during its final six years. The to 105 predominantly Black colleges and univer­ booklet may be obtained by requesting publication sities, with particular emphasis on their scientific SE 82-600 from the Forms and Publications Unit, and engineering activities. NSF, 1800 G Street, N.W., Washington, DC The report contains two parts: 1) a statistical 20550. -NSF Bulletin presentation of overall and Federal funding patterns, as well as personnel data on graduate Positions Open in NSF students and scientists and engineers at these institutions, 2) individual statistical profiles of Applicants for the following positions should science and engineering resources at the 105 submit resumes to NSF, Personnel Administration institutions. Branch, Room 212, 1800 G Street, N.W., For copies of the report, write to the Office of Washington, DC 20550. Attn: E. Paul Broglio; 202-357-7841. NSF is an Equal Opportunity Planning and Resources Management, Division of Employer. Planning and Policy Analysis, NSF. For further information write or phone Richard Berry, Office NSF's Division of Mathematical and Computer Sciences is seeking qualified applicants for posi­ of Planning and Resources Management; 202-357- tions which periodically become available in com­ 9540. -NSF Bulletin puter research. The positions will be filled on a one- or two-year rotational basis and are excepted Division of Research Initiation from the competitive civil service. Salaries range and Improvement from $34,930 to $57,500 per annum (GS-13/15 equivalent). One anticipated opening in academic NSF's Directorate for Scientific, Technological, year 1983-1984 will be in the field of Intelligent and International Affairs announced the estab­ Systems. Applicants should have a Ph.D. in lishment of the Division of Research Initiation an appropriate field or equivalent experience and and Improvement (DRII), effective November 14, training. Six to eight years of successful scientific 1982. research experience beyond the Ph.D. are re­ The Division encompasses four programs pre­ quired. A broad general knowledge of computer viously located in the Division of Program De­ research and some administrative experience are velopment, Office of Planning and Resources also required.

175 NSF's Division of Mathematical and Computer NSF's Division of Mathematical and Computer Sciences is seeking qualified applicants for posi­ Sciences is seeking qualified applicants for posi­ tions which periodically become available in com­ tions in the mathematical sciences which peri­ puter science. These positions will be filled odically become available. The positions are filled on a one- or two-year rotational basis and are on a one- or two-year rotational basis and are excepted from the competitive civil service. The excepted from the competitive civil service. The salary ranges from $41,277 to $57,500 per annum salaries are negotiable and range from $41,277 (GS-14/15 equivalent). Applicants should have to $57,500 per annum (GS-14/15 equivalent). a Ph.D. or equivalent experience and training Applicants should have a Ph.D. or equivalent in an appropriate field, plus six years of suc­ experience and training in an appropriate field, cessful scientific research experience. A broad plus six years of successful scientific research general knowledge of computer research and some experience. A broad general knowledge of the administrative experience are also required. field and some administrative experience are also required. -NSF Bulletin

A. Pfister, On quadratic forms and Abelian varieties over function fields D. Dubois and T. Recio, Order extensions and CONTEMPORARY H. Schiilting, Real points and real places MATHEMATICS N. Schwartz, The strong topology on real algebraic varieties (ISSN 0271-4132) D. Shapiro and T. Lam, The square class invariant for Pythagorean fields A. T ognoli, Coherent algebraic sheaves in real alge­ ORDERED FIELDS AND REAL braic geometry ALGEBRAIC GEOMETRY A. Engler and T. Viswanathan, Digging holes in edited by Donald W. Dubois and Tomas Recio algebraic closures aIa Artin-11 The contents of this book comprise, with only This book contains a representative sample of minor editorial changes, papers submitted by those current research by experts from many countries. mathematicians who accepted an invitation to There are two outstanding contributions. First the speak at the American Mathematical Society's book represents the first broadly international con­ Special Session on Ordered Fields and Real Alge­ ference on its topic, and, above all, it contains prob­ braic Geometry in San Francisco, january 1981. ably the greatest break-through yet in commutative C. Andradas, Normal decompositions of semi­ algebra, with a brilliant array of applications in real algebraic sets algebraic geometry. This is the paper of Coste and G. Brumfiel, Some open problems Roy where the theory of the spectre reel is given its Michel Coste and Marie-Franc;:oise Roy, La topologie first full exposition. du spectre reel There are other papers of unusual significance. H. Delfs and M. Knebusch, Semialgebraic topology Pfister applies his famous quadratic form theory to a over a real closed field study of Abelian varieties. Delfs and Knebusch add C. Delzell, A finiteness theorem for open semio(]lge­ another chapter to their semi-algebraic topology in braic sets, with applications to Hilbert's 17th varieties over real-closed fields. Lam and Shapiro add problem to their fine contributions in quadratic form theory. Brocker, Andreas Dress and R. Scharlau, L. An There are outstanding contributions from several (almost) trivial local-global principle for the repre­ young mathematicians, notably Andradas, Delzell, sentation of -1 as a sum of squares in an arbi­ Harman, Merzel, Recio and SchUiting. trary commutative ring Potential readers require above all a good back­ G. Efroymson, The Nash ring of a real surface ground in commutative algebra (especially the real R. Gilmer, Extension of an order to a simple trans­ kind). Most papers require basic knowledge of affine cendental extension algebraic varieties. Some require sheaf theory, or D. Gondard, Theorie des modeles et fonctions de­ cohomology theory or quadratic form theory. finies positives sur les varMtes algebriques reeles J. Harman, Chains of higher level orderings 1980 Mathematics Subject Classificatlons:12D15, 12)15, M. Henriksen and F. Smith, Some properties of 32C05, 10C04, 13)25. positive derivations on f-rings Volume 8, viii + 368 pages (soft cover} List price $21, institutional member $16, j. Merzel, Quadratic forms over fields with finitely individual member $11 many orderings ISBN 0-8218-5007-5; LC 82-3951 B. Glastad and J. Mott, Finitely generated groups of Publication date: April 1982 divisibility To order, please specify CONMI8N

Prepayment is required for all AMS publications. Order from AMS, P.O. Box 1571, Annex Station, Providence, Rl 02901, or call toll free 800-556-7774 to charge with Visa or MasterCard.

176 Reciprocity Agreements

The listings below update some of the reports Popularny Miesie~;znik Matematyczno-Fizyczno­ published in the Notices, June 1982 (page 335), Astronomiczny "Delta" (Popular Mathematical­ August 1982 (page 472), and November 1982 (page Physical-Astronomical Monthly "Delta") in Polish. 656). A disc (•) before the name of an organization Officers: Zbigniew Ciesielski (President), Andrzej indicates that membership application forms for Lasota, Andrzej Schinzel (Vice Presidents), Jerzy that organization may be obtained by writing the Zabczyk (Secretary), Kazimierz Cegielka (Vice American Mathematical Society, P. 0. Box 6248, Secretary), Msgr. Andrzej M!}kowski (Treasurer). Providence, Rhode Island 02940. Sociedade Portuguesa de Matematiea Africa Apply to: J. A. Dias da Silva, Sociedade Portuguesa • Nigerian Mathematical Society de Matematica, Av. da Republica 37 4°, 1000 Lisboa, Portugal. Apply to: C. 0. Imoru (Secretary), Nigerian Mathematical Society, Department of Mathematics, Dues: $5; payable to Maria da Grar;a Lopa. University of Ibadan, Ibadan, Nigeria. Privileges: Boletim da Sociedade Portuguesa de Dues: $10; payable to the Nigerian Mathematical Matematica, free; discount of 50% in the subscription Society. fees for Portugaliae Matematica. Privileges: Journal of the Nigerian Mathematical Officers: AntOnio St'Aubyn (President), J. A. Dias Society at the price normally charged to individual da Silva (Vice President), Maria da Grar;a Lopo members. (Treasurer). Officers: A. Olubummo (President), J. 0. C. Ezeilo • Societe Mathematique de France (Vice President), C. 0. Nwachuku (Treasurer), C. 0. Address for mail: Societe Mathematique de France, Imoru (Secretary), S. A. Ilori (Assistant Secretary), B.P. 126-05, 75226 Paris, Cedex 05. H. 0. Tejumola (Editor-in-Chief). Apply to: American Mathematical Society, P.O. Box Europe 6248, Providence, Rhode Island 02940. • Polskie Towarzystwo Matematyczne Dues: $15 or $22; payable to American Mathematical Society. Apply to: Polskie Towarzystwo Matematyczne, Privileges: Individuals who pay dues of $15 are en­ Sniadeckich 8, 00-950 Warszawa, Poland. titled to receive Circulaire and Gazette. Individuais Dues: $8; payable to Polskie Towarzystwo Mate­ who pay dues of $22 are entitled to Circulaire, matyczne. Gazette, and Bulletin. Four issues per year of Privileges: Participation in scientific conferences or­ Asterisque may be purchased at a discount price. ganized by the Polish Mathematical Society and in (Members in the U.S., Canada, or Mexico should its scientific sessions; in addition, members receive order their copies from the AMS. See the AMS one of the following six series of the publica­ Catalogue of Publications or the November 1982 tion Annales Societatis Mathematicae Polonae: Notices (pages 704-705) for a list of back issues Commentationes Mathematicae in congress lan­ which may be purchased as individual volumes.) guages, Wiadomosci Matematyczne (Mathematical Officers: C. Houze! (President), M. Herve, G. News) in Polish, Matematyka Stosowana (Applied Lachaud, J.-L. Verdier (Vice Presidents), Lionel Mathematics) in Polish, Fundamenta Infor­ Berard-Bergery (Treasurer), M. David, J. L. Stehle maticae in congress languages, Dydaktyka (Secretaries). Matematyki (Didactics of Mathematics) in Polish,

177 1983 AMS Elections Nominations by Petition

Vice-President or Member-at-Large Rules and Procedures Two positions of vice-president and member of the Council ex officio for a term of two years are Use separate copies of the form for (a) to be filled in the election of 1983. The Council candidates for vice-president, (b) candidates intends to nominate four candidates, whose names for member-at-large, (c) candidates for the may be expected to appear in the June issue of Nominating Committee. the Notices, which is scheduled to be mailed by 1. To be considered, petitions must be ad­ the printer on May 13. Nominations by petition dressed to Everett Pitcher, Secretary, P.O. Box as described in the box are acceptable. 6248, Providence, Rhode Island 02940, and Five positions of member-at-large of the Council must arrive by July 9, 1983. for a term of three years are to be filled in the same election. The Council intends to nominate 2. The name of the candidate must be given seven candidates, whose names may be expected as it appears in the Combined Membership List. to appear in the June Notices. Nominations by If the name does not appear in the list, as petition in the manner described in the box are in the case of a new member or by error, it acceptable. The Council has stated its intent to must be as it appears in the mailing lists, for have at least ten candidates and will bring the example on the mailing label of the Notices. number up to ten if the nominations by petition If the name does not identify the candidate do not do so. uniquely, append the member code, which may Petitions are presented to the Council, which, be obtained from the candidate's mailing label according to Section 2 of Article VII of the or the Providence office. bylaws, makes the nominations. The Council of 23 January 1979 stated the intent of the Council 3. The petition for a single candidate may of nominating all persons on whose behalf there consist of several sheets each bearing the were valid petitions. statement of the petition, including the name Prior to presentation to the Council, petitions in of the position, and signatures. The name of aid of a candidate for the position of vice-president the candidate must be exactly the same on all or of member-at-large of the Council must have sheets. at least 50 valid signatures and must conform 4. On the facing page is a sample form for to several rules and operational considerations, petitions. Copies may be obtained from the which are described in the box. Secretary; however, petitioners may make and use photocopies or reasonable facsimiles. The Nominating Committee for 1984 5. A signature is valid when it is clearly that The Council has approved the continuation of of the member whose name and address is given the procedure of filling places on the Nominating in the left-hand column. Committee by election. There will be four con­ 6. The signature may be in the style chosen tinuing members of the Nominating Committee, by the signer. However, the printed name and namely address will be checked against the Combined Linda Keen Membership List and the mailing lists. No 0. Carruth McGehee attempt will be made to match variants of Wolfgang M. Schmidt names with the form of name in the CML. A James D. Stasheff name neither in the CML nor on the mailing There will be four places filled by election in a lists is not that of a member. (Example: The prefefential ballot. The President will name six name Everett Pitcher is that of a member. The candidates for these four places. The names may name E. Pitcher appears not to be. Note that be expected to appear in the June issue of the Notices. Nominations by petition, in the manner the mailing label of the Notices can be peeled described in the box, will be accepted. Should the off and affixed to the petition as a convenient final number of candidates be less than eight, the way of presenting the printed name correctly.) President will bring it up to eight. 7. When a petition meeting these various The name of a candidate for member of the requirements appears, the Secretary will ask Nominating Committee may be placed on the the candidate whether he is willing to have his ballot by petition. The candidate's assent and name on the ballot. Petitioners can facilitate petitions bearing at least 100 valid signatures are the procedure by accompanying the petitions required for a name to be placed on the ballot. with a signed statement from the candidate In addition, several other rules and operational giving his consent. considerations which are described in the box should be followed.

178 NOMINATION PETITION FOR 1983 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

of the American Mathematical Society for a term beginning January 1, 1984.

Name and Address (printed or typed, or Notices mailing label)

Signature

Signature

Signature

Signature

Signature

Signature

179 Norman, March 18-19, 1983, University of Oklahoma Program for the 802nd Meeting

The eight hundred second meeting of the American R. Kramer, William Ortmeyer, John G. Ratcliffe, Mathematical Society will be held at the University Peter Scott, Jack Segal, Peter Shalen, Thomas L. of Oklahoma, Norman, on Friday and Saturday, Thickstun, Bruce Trace, Vo Thanh Liem, John J. March 18-19, 1983. All sessions will be held in Walsh, and Wilbur Whitten. the Forum Building of the Oklahoma Center for Analytic number theory, HAROLD G. DIA­ Continuing Education, located at the southern edge MOND, University of Illinois, Urbana-Champaign. of the campus. The speakers are Krishnaswami Alladi, Paul Erdos, Invited Addresses P. X. Gallagher, S. W. Graham, Douglas A. Hensley, Grigori Kolesnik, Helmut Maier, Kevin McCurley, By invitation of the 1982 Committee to Select Eugene K. S. Ng, G. J. Rieger, Michael D. Vose, and Hour Speakers for Central Sectional Meetings, there Eduard A. Wirsing. will be four invited one-hour addresses. The speakers, their affiliations, titles of their talks, and scheduled Control theory and applications, KEVIN A. times of presentation, are as follows: GRASSE and LUTHER W. WHITE, University of Oklahoma. The speakers will be Calvin D. Ahlbrandt, BORIS l'vliTYAGIN, Ohio State University, Non­ Felix Albrecht, Kevin A. Grasse, Terry L. Herdman, linear singular equations, 11:00 a.m. Friday. L. R. Hunt, Karl Kunisch, and Luther White. PAUL E. SCHUPP, University of Illinois, Urbana­ Rings and modules, JOEL K. HAACK, Oklahoma Champaign, Behavior at infinity: Ends, monadic State University. The speakers will be Efraim P. logic, and automata, 1:45 p.m. Friday. Armendariz, William D. Blair, A. K. Boyle, Victor MICHAEL STARBIRD, University of Texas, Camillo, John Dauns, Carl Faith, K. R. Fuller, Austin, 11:00 a.m. Saturday. Decomposition spaces, Alexander J. Hahn, Lawrence S. Levy, Bruno J. JEFFREY D. V AALER, Institute for Advanced Mueller, Robert B. Warfield, and W. D. Weakley, Study, Some recent applications of and Birge Zimmerman-Huisgen. in number theory, 1:45 p.m. Saturday. The algebra of algorithms, automata, o.nd Speeial Sessions languages, ROGER C. LYNDON, university of By invitation of the same committee, there will Michigan, Ann Arbor. The speakers are Thomas be eleven sessions of selected twenty-minute papers. Drucker, Robert H. Gilman, Yuri Gurevich, Robert H. The topics of these special sessions, the names of the Haring-Smith, H. Jurgensen, Juhani Karhumiiki, organizers, and the lists of speakers are as follows: Ernest G. Manes, Robert McNaughton, David Muller, Homological and combinatorial methods in John Myhill, Howard Straubing, and Denis Therien. group theory, ROGER C. ALPERIN, Rice Univer­ Universal enveloping algebras and group algebras sity. The speakers will be S. Bachmuth, Kenneth of infinite groups, ANDY R. MAGID and RICHARD S. Brown, Marc Culler, B. Evans, Benjamin Fine, D. RESCO, University of Oklahoma. The speakers Iris Cox Hayslip, John Hempel, Verena Huber-Dyson, are Randall P. Dahlberg, F. R. DeMeyer, T. J. Bruce Ikenaga, R. Kramer, R. S. Kulkarni, Kenneth Hodges, Susan Montgomery, J. J. Sarraille, Martha K. N. Moss, Joyce O'Halloran, John G. Ratcliffe, Marvin Smith, and S. P. Smith. Tretkoff, Karen Vogtmann, and K. Weston. Nonlinear functional analysis, WILLIAM 0. Theory of Banach spaces, DALE E. ALSPACH, RAY, University of Oklahoma. The speakers are Oklahoma State University. The speakers are Dan M. Altman, Ronald E. Bruck, David J. Downing, Amir, A. D. Andrew, Steven F. Bellenot, N. L. W. A. Kirk, Teck-Cheong Lim, Claudio Morales, Carothers, Peter G. Casazza, William J. Davis, G. A. Gregory B. Passty, Simeon Reich, R. C. Sine, and Edgar, John H. Elton, Patrick Flinn, D. J. H. Garling, Ricardo Torrejon. Peter Greim, N. J. Kalton, Edward Odell, Tenney Theory of semigroups, NAOKI KIMURA, BER­ Peck, Haskell P. Rosenthal, Elias Saab, Paulette NARD L. MADISON, and BORIS M. SCHEIN, Saab, Nicole Tomczak-Jaegermann, and J. Jerry Uhl. University of Arkansas, Fayetteville. This session will Linear algebra and matrix theory, GEORGE have one plenary meeting on Friday afternoon, but PHILLIP BARKER, North Carolina State Univer­ at other times will be divided into three subsessions, sity. The speakers will be G. P. Barker, Biswa with subjects and organizers as indicated below. N. Datta, Thomas L. Markham, and Donald W. The speakers in the plenary session will be Karl H. Robinson. Hofmann, Toru Saito, and Dov Tamari. The three Geometric topology, DONALD S. CORAM and subsessions are as follows: BENNY D. EVANS, Oklahoma State University. 1. Semigroups and related systems, NAOKI The speakers are John Berge, Ethan D. Bloch, Philip KIMURA. The speakers will be M. E. Adams, Ernst L. Bowers, James W. Cannon, A. Casson, Robert J. August Behrens, Sydney Bulman-Fleming, Graham Daverman, Jerzy Dydak, Steve Ferry, Erica Flapan, Clarke, Arthur Gerhard, Jerzy W. Grzymala-Busse, Ross Geoghegan, C. Gordon, George Kozlowski, Peter R. Jones, Jin Bai Kim, Ulrich Knauer; John K.

180 Luedeman, C. J. Maxson, Robert H. Oehmke, John Hall of Advanced Study Suites Rodes, J. Sichler and John Zeleznikow. (Four single bedrooms in each suite) 2. Topological semigroups, BERNARD L. Not available March 17. MADISON. The speakers will be Bridget B. 1 person $25 Baird, Dennison R. Brown, Haskell Cohen, Esmond 2 persons $16 per person E. DeVun, Gerhard Gierz, John A. Hildebrant, 3 persons $15 per person V. Sankrithi Krishnan, Jimmie D. Lawson, K. D. 4 persons $14 per person Magill, Jr., Michael Mislove, M. Rajagopalan, John Walker Tower Dormitory (Twin bedrooms) Selden, Jr., J. W. Stepp, Albert R. Stralka, and Limited number of rooms available on March 17. Saraswathi Magill Subbiah. Single $16 Double $12 per person 3. Regular semigroups, BORIS M. SCHEIN. The speakers will be Karl Byleen, Michael P. Drazin, In addition to the above, the following area motels C. C. Edwards, Andrew Foster, Simon M. Goberstein, are included for information purposes. The rates Howard Hamilton, Dare! Hardy, Robert J. Koch, shown do not include the additional 9 percent sales Antonio M. Lopez, Jr., Robert McFadden, William tax. R. Nico, Mohan S. Putcha, Wiley Williams, and G. Holiday Inn (3 miles) R. Wood. Interstate 35 and West Main, Norman 73069 Telephone: 405-329-1624 Contributed Papers Single $37 up Double $45 up There will be sessions of contributed ten-minute papers on Ring theory, Topology, and Algebra Howard Johnson's (3 miles) on Friday morning, and a session on Analysis on Interstate 35 and West Main, Norman 73069 Saturday afternoon. Telephone: 405-329-8000 Single $38 up Double $44 up Registration Food Service The meeting registration desk will be located in the Forum Building of the Oklahoma Center for During the meeting breakfast and lunch will be Continuing Education, and will be open from 8:00 available at the Commons Restaurant in the Center a.m. until 4:00 p.m. on Friday, and from 8:00 a.m. for Continuing Education. There will be a banquet on until noon on Saturday. The registration fees are Friday evening March 18, for the Oklahoma-Arkansas $10 for members, $16 for nonmembers, and $5 for Section of the MAA. Tickets and other details will students or unemployed mathematicians. be available at the meeting registration desk. Many restaurants are within a short walk or within a mile Accommodations of the Center, and a restaurant list, with prices, will As indicated below, various types of accommoda­ be available at the desk. tions will be available at the Oklahoma Center for Continuing Education. These rooms may be occupied Travel the nights of March 17, 18, and 19, unless otherwise Norman is located approximately 20 miles south shown; the rates are not taxed. Participants should of Oklahoma City on U.S. Interstate 35. The Will make their own reservations by writing to the Ok­ Rogers World Airport is located south of Oklahoma lahoma Center for Continuing Education, 1700 Asp City and is served by American, Continental, Delta, Avenue, Norman, OK 73037. The telephone numbers Eastern, Pan American, and TWA, as well as Frontier, to call for reservations are 405-329-2270 or 405-325- Southwest, and Trans Central Airlines. There is 1011. Confirmation will be sent to participants limousine service from the airport to locations in whose room reservations are received by March 4, Norman and to the University. Norman is also served 1983. Participants are advised to check in and by Trailways Bus Line. obtain room keys at the desk in Sooner House for all accommodations except Walker Tower Dormitory, Parking which has its own check-in desk. Participants residing on campus in the Center for Sooner House (Hotel) Continuing Education housing will be provided with (Twin bedroom, tub and shower) free parking permits for use in any parking area at Single $22 Double $30 the center. Other participants may also park free, Cottage Suites (Two twin bedrooms in each suite) but should use only the parking lot by the Forum 1 person $31 Building where the sessions will take place. 2 persons $19 per person 3 persons $15 per person 4 persons $14 per person

181 Presenters of Papers Numbers following the names indicate the speakers' positions on the program. •Invited one-hour lecturer •Special session speaker

Abotteen, E., 44 *Faith, C., 99 •Kozlowski, G., 34 Ruitenburg, W. B., 43 •Adams, M. E., 113 *Ferry, S., 124 •Kramer, R., 87, 103 •Saab, E., 74 •Ahlbrandt, C. D., 150 •Fine, B., 68 • Krishnan, V. S., 28 * Saab, P., 76 •Albrecht, F., 151 •Flapan, E., 85 *Kulkarni, R. S., 66 *Saito, T ., 70 •Alladi, K., 128 •Flinn, P., 18 •Kunisch, K., 173 * Sarrail!e, J. J., 38 •Altman, M., 79 •Foster, A., 49 Kuttler, K. L., 187 •Schupp, P. E., 54 •Amir, D., 114 •Fuller, K. R., 100 •Lawson, J.D., 190 *Scott, P., 176 •Andrew, A. D., 115 •Gallagher, P. X., 130 •Levy, L. S., 98 • Segal, J., 32 •Armendariz, E. P., 164 •Garling, D. J. H., 117 •Lim, T.-C., 83 *Selden, J., Jr., 29 •Bachmuth, S., 105 *Geoghegan, R., 33 *Lopez, A. M., Jr., 143 Serven, R. J., 20 •Baird, B. B., 138 *Gerhard, A., 10 •Luedeman, J. K., 111 •Shalen, P., 177 •Barker, G. P., 131 •Gierz, G., 192 •Magill, K. D., Jr., 135 * Sichler, J., 112 •Behrens, E. A., 108 *Gilman, R. H., 93 •Maier, H., 58 Sigurdsson, G., 22 •Bellenot, S. F., 119 * Goberstein, S. M., 142 *Manes, E. G., 155 *Sine, R. C., 148 •Berge, J., 88 • Gordon, C., 178 •Markham, T. L., 133 *Smith, M. K., 62 •Blair, W. D., 97 •Graham, S. W., 161 *Maxson, C. J., 11 •Smith, S. P., 36 •Bloch, E. D., 120 *Grasse, K., 152 *McCurley, K., 55 • Starbird, M., 158 •Bowers, P. L., 30 •Greim, P., 78 •McFadden, R., 48 *Stepp, J. W., 27 •Boyle, A. K., 95 •Grzymala-Busse, J. W., 9 *McNaughton, R., 156 * Stralka, A. R., 191 •Brown, D. R., 25 *Gurevich, Y., 52 •Mislove, M., 189 * Straubing, H., 181 •Brown, K. S., 1 *Hahn, A. J., 163 •Mityagin, B., 53 * Subbiah, S. M., 137 •Bruck, R. E., 80 •Hamilton, H., 169 de Montet, C., 46 •Tamari, D., 71 •Bulman-Fleming, S., 109 •Hardy, D., 167 •Montgomery, S., 60 *Therien, D., 182 Burgess, W. D., 45 •Raring-Smith, R. H., 90 •Morales, C., 145 •Thickstun, T. L., 179 •Byleen, K., 144 •Hayslip, I. C., 6 •Moss, K. N., 3 * Tomczak-Jaegermann, N., *Camillo, V., 96 •Hempel, J., 64 •Mueller, B. J., 101 116 •Cannon, J. W., 125 •Hensley, D. A., 57 *Muller, D., 50 * Torrejon, R., 149 •Carothers, N. L., 118 •Herdman, T. L., 153 *Myhill, J., 157 •Trace, B., 84 •Casazza, P. G., 16 •Hildebrant, J. A., 139 Najar, R. M., 40 Trautman, D. A., 186 •Casson, A., 175 Hill-Tout, B. W., 24 * Ng, E. K. S., 127 Treirnan, J. S., 184 •Clarke, G., 12 •Hodges, T. J., 35 Ng, H. K., 42 * Tretkoff, M., 67 *Cohen, H., 26 •Hofmann, K. H., 69 •Nico, W. R., 170 * Uhl, J. J., 75 *Culler, M., 65 •Huber-Dyson, V., 107 •Odell, E., 14 • Vaaler, J. D., 159 •Dahlberg, R. P., 37 *Hunt, L. R., 172 •Oehmke, R. H., 8 •Vogtmann, K., 4 •Datta, B. N., 132 * Ikenaga, B., 2 * O'Halloran, J., 5 * Vose, M. D., 56 •Dauns, J., 94 Jani, M., 23 Ohm, J., 41 * Vo Thanh Liem, 121 •Daverman, R. J., 123 *Jones, P. R., 110 •Ortmeyer, W., 86 *Walsh, J. J., 31 •Davis, W. J., 73 * Jlirgensen, H., 91 •Passty, G. B., 146 *Warfield, R. B., 162 •DeMeyer, F. R., 61 •Kalton, N.J., 17 •Peck, T., 72 *Weakley, W. D., 165 •DeVun, E. E., 136 •Karhumiiki, J., 92 •Putcha, M.S., 140 *Weston, K., 106 •Downing, D. J., 81 •Kim, J. B., 196 Rajagopalan, M., 188 •White, L., 174 •Drazin, M.P., 47 •Kirk, W. A., 82 •Rajagopalan, M., 193 *Whitten, W., 180 •Drucker, T., 51 Klee, V., 185 •Ratcliffe, J. G., 63, 89 *Williams, W., 171 * Dydak, J., 122 •Knauer, U., 195 •Reich, S., 147 *Wirsing, E. A., 59 •Edgar, G. A., 77 •Koch, R. J., 166 •Rieger, G. J., 126 *Wood, G. R., 168 Kohlmayr, G. F., 39 •Robinson, D. W., 134 •Edwards, C. C., 141 * Zeleznikow, J., 194 •Elton, J. H., 13 •Kolesnik, G., 160 *Rodes, J., 7 •Erdos, P., 129 Korenblum, B., 183 •Rosenthal, H. P., 15 * Zimmerman-Huisgen, B., •Evans, B., 104 Kosler, K. A., 21 Rossa, R. F., 19 102

182 Program of the Sessions

The time limit for each contributed paper in the AMS general sessions is ten minutes. In the special sessions, the time limit varies from session to session and within sessions. To maintain the schedule, time limits will be strictly enforced. Abstracts of papers presented in AMS sessions at this meeting will be found in the February 1983 issue of Abstracts of papers presented to the American Mathematical Society, ordered according to the numbers in parentheses following the listings below. For papers with more than one author, an asterisk follows the name of the author who plans to present the paper at the meeting.

Friday, 8:00a.m. Special Session on Homologieal and Combinatorial Methods in Group Theory, I Meeting Room B2 8:00- 8:20 (1) A torsion-free infinite-dimensional group of type FPoo. Preliminary report. KENNETH S. BROWN*, Cornell University, and Ross GEOGHEGAN, State University of New York, Binghamton (802-20-106) 8:30- 8:50 (2) Generalized homological dimension. BRUCE IKENAGA, Case Western Reserve University (802-20-78) 9:00- 9:20 (3) Real-valued Archimedean length functions in groups. ROGER C. ALPERIN, University of Oklahoma, and KENNETH N. Moss*, Baltimore, Maryland (802-20-54) 9:30- 9:50 (4) Homology of SL20-d· KAREN VOGTMANN, Columbia University (802-20-139) 10:00-10:20 (5) A vanishing theorem for the cohomology of Borel subgroups. JOYCE O'HALLORAN, University of Wisconsin, (802-20-17) 10:30-10:50 (6) Characteristic classes for modules over cyclic groups. Preliminary report. IRIS Cox HAYSLIP, St. John's University, St. Vincent's College (802-18-128)

Friday, 8:00 a.m. Special Session on Semigroups and Related Systems, I Meeting Room B4 8:00- 8:20 (7) Global structure theorems for arbitrary semigroups. JOHN RODES, University of California, Berkeley (802-20-58) 8:30- 8:50 (8) Minimal right congruences on semigroups. ROBERT H. OEHMKE, University of Iowa (802-20-12) 9:00- 9:20 (9) On the set of generators of some finite semigroups. JERZY W. GRZYMALA-BUSSE, University of Kansas (802-20-160) 9:30- 9:50 (10) All varieties of regular orthogroups. ARTHUR GERHARD* and MARIO PETRICH, University of Manitoba (802-20-16) 10:00-10:20 (11) On simple centralizer near-rings determined by unions of groups. C. J. MAXSON, Texas A&M University, College Station (802-20-09) 10:30-10:50 (12) On varieties of completely regular semigroups. Preliminary report. GRAHAM CLARKE, University of Arkansas, Fayetteville (802-20-154)

Friday, 8:00a.m. Special Session on The Theory of Banach Spaces, I Conference Room B 8:00- 8:20 (13) Sign-embeddings of£"{. JOHN H. ELTON, Georgia Institute of Technology (802-46-44) 8:30- 8:50 (14) On the types of Tsirelson space. EDWARD ODELL, University of Texas, Austin (802-46-75) 9:00- 9:20 (15) Some remarks concerning unconditional ba..•ic sequences. HASKELL P. ROSENTHAL, University of Texas, Austin (802-46-84) 9:30- 9:50 (16) Tsirelson's space. PETER G. CASAZZA, University of Alabama, Tuscaloosa (802-46-122) 10:00-10:20 (17) Some remarks on rearrangement invariant Banach function spaces. Preliminary report. N. J. KALTON, University of Missouri, Columbia (802-46-61) 10:30-10:50 (18) M-structure in the Banach algebra of operators on Co(O). Preliminary report. PATRICK FLINN* and ROGER R. SMITH, Texas A&M University, College Station (802-46-19)

Friday, 8:00a.m. Session on Ring Theory Meeting Room C1 8:00- 8:10 (19) Radicals generated by hereditary classes. ROBERT F. ROSSA, Arkansas State University (802-16-05) 8:15- 8:25 (20) Torsion-injective dimension and artinian serial rings. Preliminary report. ROBERT J. SERVEN, University of Wisconsin, Milwaukee (802-16-127)

183 8:30- 8:40 (21) Semicritical rings and the quotient problem. KARL A. KOSLER, St. Norbert College (802-16-132) (Introduced by Edmund Feller) 8:45- 8:55 (22) Differential operator rings whose prime factors have bounded Goldie dimension. GUNNAR SIGURDSSON, University of Washington (802-16-149)

Friday, 8:00 a.m. Session on Topology Meeting Room B3 8:00- 8:10 (23) CE-shape fibrations which are fiber shape equivalences. MAHENDRA JANI, William Paterson College (802-55-196) 8:15 - 8:25 (24) A local Euler invariant for real algebraic varieties. Preliminary report. BARRY W. HILL-TOUT, University of Oklahoma (802-57-170)

Friday, 8:30 a.m. Special Session on Topological Semigroups, Meeting Room B5 8:30·- 8:50 (25) On the topology of idempotent subsets of the semigroup of stochastic matrices. Preliminary report. DENNISON R. BROWN, University of Houston, Houston (802-22-116) 9:00- 9:20 (26) On a problem of Oberhoff. HASKELL COHEN, University of Massachusetts, Amherst (802-20-45) 9:30- 9:50 (27) Properties common to compact semilattices and compact UDC semigroups. Preliminary report. D. R. BROWN and J. W. STEPP*, University of Houston, Houston (802-22-143) 10:0-10:20 (28) Semigroups with s.m.f. structures. V. SANKRITHI KRISHNAN, Temple University (802-20-23) 10:30-10:50 (29) The closure of a certain planar topological inverse semigroup. Preliminary report. JOHN SELDEN, JR.*, and ANNIE ALEXANDER SELDEN, Bayero University, Nigeria (802-20-176)

Friday, 8:30 a.m. Special Session on Geometric Topology, I Meeting Room B3 8:30·- 8:50 (30) Embedding En/Gin euclidean space. PHILIP L. BOWERS, University of Tennessee, Knoxville (802-54-28) 9:00- 9:20 (31) The finite dimensionality of integral homology 3-manifolds. JOHN J. WALSH, University of Tennessee, Knoxville (802-55-27) 9:30- 9:50 (32) Local n-connectivity of decomposition spaces. JERZY DYDAK and .JACK SEGAL*, University of Washington (802-55-85) 10:00-10:20 (33) New connections between ends and homological group theory. Ross GEOGHEGAN, State University of New York, Binghamton (802-57-120) 10:30-10:50 (34) A bubbly continuum with the shape of the sphere. GEORGE KOZLOWSKI, Auburn University, Auburn (802-55-138)

Friday, 9:00a.m. Special Session on Universal Enveloping Algebras and Group Algebras of Infinite Groups, I Meeting Room C1 9:00- 9:20 (35) Sheaves of differential operators on projective space. Preliminary report. T. J. HODGES*, University of Utah, and S. P. SMITH, University of Southern California (802-16-104) (Introduced by R. D. Resco) 9:30-· 9:50 (36) Sheaves of twisted differential operators on the flag variety. Preliminary report. T. J. HODGES, University of Utah, and S. P. SMITH*, University of Southern California (802-16-164) 10:00-10:20 (37) Structure theorems for injective hulls of Lie modules. Preliminary report. RANDALL P. DAHLBERG, Seton Hall University (802-16-165) 10:30-10:50 (38) Minimal primes of incidence algebras of graphs. Preliminary report. J. J. SARRAILLE, University of Texas, Austin (802-16-71)

Friday, 9:00a.m. Session on Algebra Meeting Room A4 9:00- 9:10 (39) Is there a computational test for the consistency of ZF? GERHARD F. KOHLMAYR, Glastonbury, Connecticut (802-03-163) 9:15- 9:25 (40) Unitary multiperfect numbers. Preliminary report. RUDOLPH M. NAJAR, University of Wisconsin, Whitewater (802-10-119) 9:30- 9:40 (41) The ruled residue theorem for simple transcendental extensions of valued fields. JACK OHM, Louisiana State University, Baton Rouge (802-13-97) 9:45- 9:55 (42) Finitely presented dimension of commutative rings and modules. Ho KUEN NG, Albion College (802-13-41)

184 10:00-10:10 (43) Constructive algebra over discrete rings. Preliminary report. WIM B. RUITENBURG, New Mexico State University, Las Cruces (802-13-148) (Introduced by Ray Mines) 10:15-10:25 (44) Character formula of outer plethysms. ESSAM ABOTTEEN* and MAN-WAI LEE, Oklahoma State University, Stillwater (802-15-129) 10:30-10:40 (45) Self-injective simple Pierce sheaves. W. D. BURGESS*, University of Ottawa, K. A. BYRD, University of North Carolina, Greensboro, and R. RAPHAEL, Concordia University (802-16-179) 10:45-10:55 (46) Group of genus 2 and hypernumbers. C. DE MO]';TET, Roquefort Notre Dame, France (802-15-133) (Introduced by K. Demys)

Friday, 9:30 a.m. Special Session on Regular Semigroups, I Meeting Room B6 9:30- 9:50 (47) A partial order in completely regular semigroups. MICHAEL P. DRAZIN, Purdue University. West Lafayette (802-20-98) 10:00-10:20 (48) Unit orthodox semigroups. ROBERT McFADDEN, Northern Illinois University (802-20-159) (Introduced by Boris M. Schein) 10:30-10:50 (49) Complexity of endomorphism semigroups. Preliminary report. ANDREW FOSTER, Florida A&M University (802-20-100)

Friday, 9:30a.m. Special Session on The Algebra of Algorithms, Automata, and Languages, I Meeting Room Bl 9:30- 9:50 (50) Alternating automata on infinite objects and Rabin's theorem on monadic second-order theories. DAVID MULLER, University of Illinois, Urbana-Champaign (802-03-192) (Introduced by Roger C. Lyndon) 10:00-10:20 (51) Categorical logic and semantics for non-denoting terms. Preliminary report. THOMAS DRUCKER, University of Wisconsin-Extension, Madison (802-03-66) 10:30-10:50 (52) Logic tailored for computational complexity. YURI GUREVICH, University of Michigan, Ann Arbor (801-68-413) (Abstracts, January 1983, page 116)

Friday, 11:00 a.m. Invited Address Conferenc.e Room I3 11:00-12:00 (53) Nonlinear singular equations. BORIS MITYAGIN, Ohio State University, Columbus (802-47-181)

Friday, 1:45 p.m. Invited Address Conference Room B 1:45- 2:45 (54) Behavior at infinity: Ends, monadic logic and automata. PACL E. SCHUPP, University of Illinois, Urbana-Champaign (802-03-166)

Friday, 3:00p.m. Special Session on Analytic Number Theory, I Meeting Room B6 3:00- 3:20 (55) The distribution of r-free numbers in arithmetic progressions. KEVIN MCCURLEY, Michigan State University (802-10-7 4) 3:30- 3:50 (56) Integers with consecutive divisors in small ratio. MICHAEL D. VOSE, Texas A&M University, College Station (802-10-33) (Introduced by Harold G. Diamond) 4:00- 4:20 (57) The number of factorizations of numbers less than x into divisors greater than y. DOUGLAS A. HENSLEY, Texas A&M University, College Station (802-10-55) 4:30- 4:50 (58) On integers free of large prime divisors. Preliminary report. HELMUT MAIER, University of Michigan, Ann Arbor (802-10-167) 5:00- 5:20 (59) Direct factorizations of the set of natural numbers. EDUARD A. WIRSING, University of Ulm, Federal Republic of Germany (802-10-69) (Introduced by Harold G. Diamond)

Friday, 3:00 p.m. Special Session on Universal Enveloping Algebras and Group Algebras of Infinite Groups, II Meeting Room Cl 3:00- 3:20 (60) Group-graded rings, smash products, and group actions. M. COHEN, Ben Gurion University. Israel, and SUSAN MONTGOMERY*, University of Southern California (802-16-136) 3:30- 3:50 (61) Group rings which are Azumaya algebras. Preliminary report. F. R. DEMEYER*, Colorado State University, and G. J. JANUSZ, University of Illinois, Urbana-Champaign (802-20-39)

185 4:00- 4:20 (62) Automorphisms of enveloping algebras. MARTHA K. SMITH, University of Texas, Austin (802-16-83)

Friday, 3:00 p.m.

Special Session on Homological and Combinatorial Methods in Group Theory, II Meeting Room B2 3:00- 3:20 (63) On two-generator, one-relator groups. Preliminary report. JOHN G. RATCLIFFE, University of Wisconsin, Madison (802-20-65) 3:30-- 3:50 (64) Simple loops in one-related normal subgroups of surface groups. JOHN HEMPEL, Rice University (802-57-140) 4:00- 4:20 (65) Finite groups of outer automorphisms of a free group. MARC CULLER, Rice University· (802-20-173) 4:30- 4:50 (66) Zetafunctions and density theorems for fuchsian groups. R. S. KULKARNI, Indiana University, Bloomington (802-20-107) (Introduced by Roger C. Alperin) 5:00- 5:20 (67) Cutting and pasting in the Bass-Serre theory of groups acting on trees. Preliminary report. MARVIN TRETKOFF, Institute for Advanced Study (802-20-188) 5:30- 5:50 (68) Representations of Riemann surface groups over number fields. Preliminary report. BENJAMIN FINE, Fairfield University (802-20-169) 6:00- 6:20 Informal Discussion

Friday, 3:00 p.m.

Special Session on Theory of Semigroups Conference Room B 3:00- 3:20 (69) Finite dimensional representations of compact regular semigroups. KARL H. HOFMANN*, Technische Hochschule Darmstadt, Federal Republic of Germany, and ALEXANDR M. SKRYAGO, Cuban State University, USSR (802-22-92) 3:30 · 3:50 (70) Varieties of bands and the orderability. Preliminary report. TORU SAITO, Nippon Institute of Technology (802-20-59) (Introduced by Boris M. Schein) 4:00- 4:20 (71) A graphic theory of associativity and wordchain patterns. V. Jilurther results. An algebraic equivalent of the 4-color theorem. Dov T AMARI, Tarzana, California (802-20-01)

Friday, 3:00p.m.

Special Session on The Theory of Banach Spaces, II Meeting Room B4 3:00·- 3:20 (72) Suprema of linear topologies. Preliminary report. TENNEY PECK, University of lllinois, Urbana-Champaign (802-46-152) 3:25- 3:45 (73) Complex uniform convexity. WILLIAM J. DAVIS*, Ohio State University, Columbus, D. J. H. GARLING, St. John's College, Cambridge, England, and NICOLE TOMCZAK­ JAEGERMANN, Texas A&M University, College Station (802-46-180) 3:50- 4:10 (74) On functions that are universally Pettis integrable. LAWRENCE RIDDLE, Emory University, and ELIAS SAAB*, University of Missouri, Columbia (802-46-02) 4:15-- 4:35 (75) Pettis integration. J. JERRY UHL, University of Illinois, Urbana-Champaign (802-28-134) 4:40- 5:00 (76) Ideal properties of regular operators. N. J. KALTON and PAULETTE SAAB*, University of Missouri, Columbia (802-46-30) 5:05- 5:25 (77) Topological properties of Banach spaces. G. A. EDGAR*, Ohio State University, and R. F. WHEELER, Northern Illinois University (802-46-24) 5:30- 5:50 (78) Geometry of nonseparably valued Bochner LP -spaces. PETER GREIM, Memphis State University and Freie Universitat, Arnimallee, Federal Republic of Germany (802-46-04)

Friday, 3:00p.m.

Special Session on Nonlinear Functional Analysis, I Meeting Room B5 3:00- 3:20 (79) Different proof methods in the theory of contractor directions. M. ALTMAN, Louisiana State University, Baton Rouge (802-46-93) 3:30- 3:50 (80) Asymptotic behavior of a contractive evolution system. Preliminary report. RONALD E. BRUCK, University of Southern California (802-47-161) 4:00- 4:20 (81) Zeros of set-valued accretive·mappings. DAVID J. DOWNING, Oakland University (802-47-168) 4:30- 4:50 (82) The fixed point property for nonexpansive mappings in certain R.oo product spaces. Preliminary report. W. A. KIRK, University of Iowa (802-47-123) 5:00- 5:20 (83) Fixed point theorem for uniformly Lipschitzian mappings in LP spaces. II. TECK-CHEONG LIM, George Mason University (802-47-47)

186 Friday, 3:00p.m. Special Session on Geometric Topology, II Meeting Room B3 3:00- 3:20 (84) On the Reidemeister moves of a classical knot. BRUCE TRACE, University of Utah {802-57-15) 3:30- 3:50 (85) Infinitely periodic knots. Preliminary report. ERICA FLAPAN, University of Wisconsin, Madison {802-57-20) 4:00- 4:20 (86) Covering spaces of 3-manifolds. Preliminary report. WILLIAM ORTMEYER, University of Southwestern Louisiana (802-57-21) 4:30- 4:50 (87) The homeotopy group of a cube-with-handles. R. KRAMER, University of British Columbia (802-57 -38) 5:00- 5:20 (88) Proper degree-one maps of 3-dimensional handle bodies. JOHN BERGE, University of Wisconsin, Madison (802-57-56) 5:30- 5:50 (89) On fibered knots in homology 3-spheres. Preliminary report. JOHN G. RATCLIFFE, University of Wisconsin, Madison (802-57-63)

Friday, 3:00p.m. Special Session on The Algebra of Algorithms, Automata, and Languages, II Meeting Room Bl 3:00- 3:20 (90) Groups with strict deterministic reduced word problem. Preliminary report. ROBERT H. HARING-SMITH, College of the Holy Cross (802-20-193) 3:30- 3:50 (91) Syntactic monoids of w-languages. Preliminary report. H. JURGENSEN*, Technische Hochschule Darmstadt, Federal Republic of Germany, ·and G. THIERRIN, University of Western Ontario (802-68-34) 4:00- 4:20 (92) On the Ehrenfeucht confecture. JUHAN! KARHUMAKI, University of Turku, Finland (802-68-145) (Introduced by Roger C. Lyndon) 4:30- 4:50 (93) Groups with a rational cross-section. Preliminary report. ROBERT H. GILMAN, Rutgers University, New Brunswick (802-99-197) 5:00- 5:20 Informal Discussion

Friday, 4:30 p.m. Speeial Session on Rings and Modules, I Meeting Room C1 4:30- 4:50 (94) Subdirect products of infectives. JOHN DAUNS, Tulane University {802-16-31) 5:00- 5:20 (95) The endomorphism ring of a L':l.-module over a right noetherian ring. A. K. BOYLE* and E. H. FELLER, University of Wisconsin, Milwaukee (802-16-94) 5:30- 5:50 (96) Morita equivalence and matrix rings. VICTOR CAMILLO, University of Iowa (802-16-43)

Saturday, 8:00a.m. Speeial Session on Rings and Modules, II Meeting Room C1 8:00- 8:20 (97) Commutative rings whose factors have Artinian rings of quotients. WILLIAM D. BLAIR, Northern Illinois University (802-13-125) 8:30- 8:50 (98) Krull-Schmidt uniqueness fails dramatically over subrings of Z E9 · • · E9 z. LAWRENCE S. LEVY, University of Wisconsin, Madison (802-13-06) 9:00- 9:20 (99) Some solved and unsolved problems in ring theory. CARL FAITH, Rutgers University, New Brunswick (802-16-137) 9:30- 9:50 (100) Rings whose double dual functors preserve monomorphisms. R. R. COLBY, University of Hawaii, Honolulu, and K. R. FULLER*, University of Iowa (802-16-70) 10:00-10:20 {101) Direct sums of indecomposable modules. BRUNO J. MUELLER*, McMaster University, and S. TARIQ RIZVI, Ohio State University, Lima (802-16-95) 10:30-10:50 (102) Torsion products and chain conditions. Preliminary report. KEN GOODEARL, University of Utah, and BIRGE ZIMMERMAN-HUISGEN*, University of Iowa (802-16-124)

Saturday, 8:00 a.m.

Speeial Session on Homological and Combinatorial Methods in Group Theory, III Meeting Room B2 8:00- 8:20 (103) Presentation of groups acting on !-connected simplicial complexes. R. KRAMER, University of British Columbia (802-20-49) 8:30- 8:50 {104) Confugacy in abelian by cyclic groups. B. EVANS* and F. ABEDI, Oklahoma State University, Stillwater (802-20-172) 9:00- 9:20 (105) Automorphisms of solvable groups. S. BACHMUTH, University of California, Santa Barbara (802-20-18)

187 9:30-- 9:50 (106) Elementary properties of Steinberg groups. Preliminary report. M. NEWMAN, Australian National University, and K. WESTON*, University of Wisconsin, Parkside (802-20-150) 10:00-10:20 (107) On the open theory of periodic groups. Preliminary report. VERENA Ht:BER-DYSON, University of Calgary (802-20-190) 10:30-10:50 Informal Discussion

Saturday, 8:00a.m. Special Session on Semigroups and Related Systems, II Meeting Room A4 8:00·- 8:20 (108) A semigroup theoretical approach to the non-commutative arithmetic. Preliminary report. ERNST Al:Gt:ST BEHRENS, McMaster University (802-20-90) 8:30- 8:50 (109) Amalgamation and absolute flatness in semigroups. Preliminary report. SYDNEY BULMAN­ FLEMING* and KENNETH McDOWELL, Wilfrid Laurier University (802-20-10) 9:00 9:20 (110) isomorphisms of free products of inverse semigroups. PETER R. JONES, Marquette University (802-20-117) 9:30 ·· 9:50 (Ill) Congruences and semigroups of quotients. JOHN K. LUEDEMAN, Clemson University (802-20-36) 10:00 · 10:20 (112) The universality of a semigroup variety. V. KOUBEK, Charles University, Czechoslovakia, and J. SICHLER*, University of Manitoba (802-18-185) 10:30-10:50 (113) Endomorphism semigroups in varieties ofpseudocomplemented distributive lattices. M. E. ADAMS*, State University of New York, New Paltz, V. KOUBEK, Charles University, Czechoslovakia, and J. SICHLER, University of Manitoba (802-20-142)

Saturday, 8:00a.m. Special Session on The Theory of Banach Spaces, III Meeting Room B4 8:00-- 8:20 (114) Radius, self radius and diameter. DAN AMIR, Tel Aviv University and University of Texas, Austin (802-46-25) 8:30- 8:50 (115) Projections on tree-like Banach spaces. A. D. ANDREW, Georgia Institute of Technology (802-46-32) 9:00- 9:20 (116) The Banach-Mazur distance between .~ymmetric spaces. NICOLE TOMCZAK-JAEGERMANN, Texas A&M University, College Station, and Warsaw University, Poland (802-46-110) (Introduced by Dale E. Alspach) 9:30-· 9:50 (117) The geometry of unitary Banach ideals. D. J. H. GARLING*, Cambridge University, England, and N. TOMCZAK-JAEGERMANN, Texas A&M University, College Station (802-46-52) (Introduced by Dale E. Alspach) 10:00-10:20 (118) Embedding£;"' in l;,q· N. L. CAROTHERS*, Wayne State University, and P. H. FLINN, Texas A&M University, College Station (802-46-14) 10:30-10:50 (119) Somewhat quasireflexive Banach spaces. STEVEN F. BELLENOT, Florida State University (802-46-135)

Saturday, 8:00 a.m. Special Session on Geometric Topology, III Meeting Room B3 8:00- 8:20 (120) Simplexwise linear maps of a 2-disk. ETHAN D. BLOCH, Cornell University (802-57-40) 8:30- 8:50 (121) Manifolds accepting codimension-one sphere-like decompositions. Vo THANH LIEM, University of Alabama, Tuscaloosa (802-57-126) 9:00- 9:20 (122) The Polish property for finitely dominated CW complexes. JERZY DYDAK, University of Washington (802-55-76) 9:30- 9:50 (123) Decompositions of manifolds into codimension one submanifolds. ROBERT J. DAVERMAN, University of Tennessee, Knoxville (802-57-162) 10:00-10:20 (124) PL fibrations and PL manifold bundles. Preliminary report. STEVE FERRY, University of Kentucky (802-57-182) 10:30-10:50 (125) The combinatorial structure of hyperbolic groups of finite volume. Preliminary report. JAMES W. CANNON, University of Wisconsin, Madison (802-57-77)

Saturday, 8:30a.m. Special Session on Analytic Number Theory, II Meeting Room B6 8:30- 8:50 (126) On Wiener's method in theory. G. J. RIEGER, Universitiit Hannover, Federal Republic of Germany (802-10-86) 9:00- 9:20 (127) On the number of solutions of N -p = P3 and of N -p = P2. EUGENE K. S. NG, University of Texas, Austin (802-10-57)

188 9:30- 9:50 (128) Moments of additive functions and the sequence of shifted primes. KRISHNASWAMI ALLADI, University of Texas, Austin (802-10-37) 10:00-10:20 (129) Prime factors of binomial coefficients. PAUL ERDOS, Hungarian Academy of Sciences, Budapest (802-10-03) 10:30-10:50 (130) Remainder terms for Selberg's zeta function. P. X. GALLAGHER, Columbia University (802-10-121)

Saturday, 8:30 a.m. Special Session on Linear Algebra and Matrix Theory Meeting Room A1 8:30- 8:50 (131) A geometric Gordon-Stiemke theorem. Preliminary report. G. P. BARKER, North Carolina State University (802-15-29) 9:00- 9:20 (132) On the solution of the Lyapunov matrix equation. BISWA N. DATTA, Northern Illinois University (802-15-42) 9:30- 9:50 (133) Products of M -matrices. THOMAS L. MARKHAM, University of South Carolina, Columbia (802-15-82) 10:00-10:20 (134) EP morphisms in a category with . Preliminary report. DONALD W. ROBINSON, Brigham Young University (802-15-67) 10:30-10:50 Informal Discussion

Saturday, 8:30 a.m. Special Session on Topological Semigroups, II Meeting Room A5 8:30- 8:50 (135) Congruences on semigroups of continuous selfmaps. Preliminary report. K. D. MAGILL, JR., State University of New York, Buffalo (802-20-46) 9:00- 9:20 (136) Semigroups with commuting threads. Preliminary report. ESMOND E. DEVUN* and GEORGE E. GRAHAM, Wichita State University (802-22-115) 9:30- 9:50 (137) Finitely generated subsemigroups of S(X). Preliminary report. SARASWATHI MAGILL SUBBIAH, Daemen College {802-20-51) 10:00-10:20 (138) Maximal inverse subsemigroups of S(X). Preliminary report. BRIDGET B. BAIRD, Connecticut College (802-20-101) 10:30-10:50 (139) The compact divisible semigroup embedding problem. Preliminary report. JOHN A. HILDEBRANT*, Louisiana State University, Baton Rouge, and DENNISON R. BROWN, University of Houston, Houston (802-20-89)

Saturday, 8:30 a.m. Special Session on Regular Semigroups, II Meeting Room A6 8:30- 8:50 (140) Root systems from a semigroup viewpoint. Preliminary report. MOHAN S. PUTCHA, North Carolina State University (802-20-22) 9:00- 9:20 (141) Totally ordered semigroups of positive periodic elements. C. C. EDWARDS* and W. G. FREDERICK, Indiana University-Purdue University, Fort Wayne (802-06-114) 9:30- 9:50 (142) Stable orders on completely simple semigroups. Preliminary report. SIMON M. GOBERSTEIN, California State University, Chico (802-20-175) 10:00-10:20 (143) A generalization of Brandt semigroups. Preliminary report. ANTONIO M. LOPEZ, JR., Loyola University, New Orleans (802-20-99) 10:30-10:50 (144) Embedding any countable semigroup in a 2-generated bisimple monoid. KARL BYLEEN, Marquette University (802-20-72)

Saturday, 8:30 a.m. Special Session on Nonlinear Functional Analysis, II Meeting Room B5 8:30- 8:50 (145) Zeros for accretive operators satisfying certain boundary conditions. Preliminary report. CLAUDIO MORALES, University of Alabama, Huntsville (802-47-147) 9:00- 9:20 (146) The parallel sum of nonlinear monotone operators. Preliminary report. GREGORY B. PASSTY, Southwest Texas State University (802-47-96) 9:30- 9:50 (147) Nonlinear functional analysis and hyperbolic geometry. SIMEON REICH, University of Southern California (802-47-53) 10:00-10:20 (148) Properties of certain nonlinear mappings. Preliminary report. R. C. SINE, University of Rhode Island (802-46-146) 10:30-10:50 (149) Implicit variational problems and operator equations. RICARDO TORREJON, Southwest Texas State University (802-47-102)

189 Saturday, 8:30a.m. Special Session on Control Theory and Applications, I Meeting Room C2 8:30- 8:50 (150) The algebraic Riccati equation of filtering and control. Preliminary report. CALVIN D. AHLBRANDT, University of Missouri, Columbia (802-49-35) 9:00- 9:20 (151) On certain properties of the Bellman function. Preliminary report. FELIX ALBRECHT, University of lllinois, Urbana-Champaign (802-49-187) 9:30- 9:50 (152) On the structure of the boundary of the attainable set for a certain class of nonlinear control systems. Preliminary report. KEVIN GRASSE, University of Oklahoma (802-93-113) 10:00-10:20 (153) An input-output representation for a nonlinear system. Preliminary report. TERRY L. HERDMAN, Virginia Polytechnic Institute and State University (802-93-194) (Introduced by Luther W. White) 10:30-10:50 Informal Discussion

Saturday, 9:00 a.m. Special Session on The Algebra of Algorithms, Automata, and Languages, III Meeting Room B1 9:00- 9:20 (155) Semilattices and automata. Preliminary report. ERNEST G. MANES, University of Massachusetts, Amherst (802-68-109) (Introduced by Roger C. Lyndon) 9:30- 9:50 (156) Word equations in a free monoid. ROBERT McNAUGHTON, Rensselaer Polytechnic Institute (802-03-191) 10:00-10:20 (157) Levels of implication. JOHN MYHILL, State University of New York, Buffalo (802-03-73) (Introduced by Roger C. Lyndon)

Saturday, 11:00 a.m. Invited Address Conference Room B 11:00-12:00 (158) Decomposition spaces. MICHAEL STARBIRD, University of Texas, Austin (802-57-130)

Saturday, 1:45 p.m. Invited Address Conference Room B 1:45- 2:45 (159) Some recent applications of Fourier analysis in number theory. JEFFREY D. VAALER, Institute for Advanced Study (802-10-118)

Saturday, 3:00p.m. Special Session on Analytic Number Theory, III Meeting Room B6 3:00- 3:20 (160) An improvement of estimates connected with 7rc(x), ~(!+it), ~(R). GRIGORI KOLESNIK, University of Texas, Austin (802-10-68) 3:30- 3:50 (161) Large values of Riemann's zeta function. S. W. GRAHAM, University of Texas, Austin (802-10-50)

Saturday, 3:00p.m.

Special Session on Rings and Modules, III Meeting Room C1 3:00- 3:20 (162) Prime ideals in ring extension. ROBERT B. WARFIELD, University of Washington (802-16-141) 3:3{}- 3:50 (163) Equivalences of module categories and isomorphisms of the linear groups. ALEXANDER J. HAHN, University of Notre Dame (802-16-08) (Introduced by Joel K. Haack) 4:00- 4:20 (164) Semi-Artinian rings and left 1r-regularity. EFRAIM P. ARMENDARIZ, University of Texas, Austin (802-16-13) (Introduced by John J. Sarraille) 4:30- 4:50 (165) Piecewise Noetherian rings. Preliminary report. W. D. WEAKLEY*, University of Kansas, and JOHN BEACHY, Northern lllinois University (802-13-156)

Saturday, 3:00 p.m.

Special· Session on Regular Semigroups, III Meeting Room A6 3:00- 3:20 (166) Comparison of congruences on regular semigroups. ROBERT J. KOCH, Louisiana State University, Baton Rouge (802-20-155) 3:30- 3:50 (167) Subsemigroups of binary relations determined by two idempotents. Preliminary report. DAREL HARDY*, Colorado State University, and MELVIN THORNTON, University of Nebraska, Lincoln (802-20-88)

190 4:00- 4:20 {168) Automorphisms of Croisot-Teissier semigroups. Preliminary report. G. R. WOOD, University of Canterbury, New Zealand {802-20..91) (Introduced by Ernest Michael) 4:30- 4:50 {169) Modularity of the congruence lattice of a semigroup composed by . HOWARD HAMILTON, California State University, Sacramento {802-20-178) 5:00- 5:20 (170) Factoring transformations. Preliminary report. WILLIAM R. NICO, Tulane University (802-20-80) 5:30- 5:50 {171) Elementary semigroups of transformations. Preliminary report. CARL EBERHART, University of Kentucky, and WILEY WILLIAMS*, University of Louisville {802-20..153) (Introduced by Boris M. Schein)

Saturday, 3:00p.m. Special Session on Control Theory and Applications, II Meeting Room C2 3:00- 3:20 {172) Applications of differential geometry to automatic flight control. Preliminary report. L. R. HUNT* and RENJENG Su, Texas Tech University, and GEORGE MEYER, NASA Ames Research Center, Moffett Field (802-93-105) 3:30- 3:50 {173) Parameter estimation in infinite delay and Volterra-type equations. FRANZ KAPPEL, University of Graz, Austria, and KARL KUNISCH*, Technical University of Graz, Austria (802-49-186) 4:00- 4:20 (174) Control of a hyperbolic problem with pointwise stress constraints. LUTHER WHITE, University of Oklahoma {802-49-171) (Introduced by Kevin A. Grasse)

Saturday, 3:00 p.m. Special Session on Geometric Topology, IV Meeting Room B3 3:00- 3:20 (175) Bounding laminations. A. CASSON, University of Texas, Austin {802-57-184) (Introduced by Benny D. Evans) 3:30- 3:50 (176) Homotopic homeomorphisms of Seifert fibre spaces. Preliminary report. PETER SCOTT, University of Liverpool, England, and University of Michigan, Ann Arbor {802-57-64) 4:00- 4:20 (177) Generalized trees and deformations of hyperbolic manifolds. Preliminary report. JOHN MORGAN, Columbia University, and PETER SHALEN*, Rice University (802-55-195) 4:30- 4:50 {178) Reducing Heegaard splittings of 3-manifolds. A. CASSON and C. GORDON*, University of Texas, Austin {802-57-183) 5:00- 5:20 (179) Homology 3-manifolds and the Poincare conjecture. Preliminary report. THOMAS L. THICKSTUN, Southwest Texas State University (802-57-151) 5:30- 5:50 {180) Constructions of two-fold branched covering spaces. JosE: M. MONTESINOS, University of Zaragoza, Spain, and WILBUR WHITTEN*, University of Southwestern Louisiana {802-57-11)

Saturday, 3:00p.m. Special Session on The Algebra of Algorithms, Automata, and Languages, IV Meeting Room B1 3:00- 3:20 {181) Finite semigroup varieties of the form V *D. HOWARD STRAUBING, Reed College {802-68-81) 3:30- 3:50 (182) Graph consequences and language recognition. Preliminary report. DENIS THERIEN, McGill University {802-68-103) (Introduced by Roger C. Lyndon)

Saturday, 3:00p.m. Session on Analysis Meeting Room B4 3:00- 3:10 {183) A new class of Banach spaces and Banach algebras of functions. Preliminary report. BORIS KORENBLUM, State University of New York, Albany {802-46-60) 3:15- 3:25 {184) Do normal cones have relations? JAYS. TREIMAN, University of Washington (802-46-62) 3:30- 3:40 {185) A theorem on tilings of infinite-dimensional Banach spaces. Preliminary report. VICTOR KLEE, University of Washington (802-46-131) 3:45- 3:55 {186) Linear topological properties in nonlocally convex Hardy-Orlicz spaces. Preliminary report. DAVID A. TRAUTMAN, University of Missouri, Columbia (802-46-07) 4:00- 4:10 (187) The Galerkin method and degenerate evolution equations. KENNETH L. KUTTLER, University of Oklahoma (802-35-157) 4:15- 4:25 (188) Semigroups and their compactifications. Preliminary report. M. RAJAGOPALAN*, University of Toledo, and M. SATYANARAYANA, Bowling Green State University (802-20-158)

191 Saturday, 3:30 p.m. Special Session on Topological Semigroups, III Meeting Room A5 3:30·- 3:50 (189) Some results involving the lattice 2N. MICHAEL MISLOVE, Tulane University (802-22-17 4) 4:00- 4:20 (190) Lie wedges. JIMMIE D. LAWSON*, Louisiana State University, Baton Rouge, and KARL H. HOFMANN, Technische Hochschule Darmstadt, Federal Republic of Germany (802-22-112) 4:30-- 4:50 (191) Natural topologies on distributive lattices. ALBERT R. STRALKA, University of California, Riverside (802-06-87) 5:00- 5:20 (192) Essential extensions and congruence extensions. GERHARD GIERZ, University of California, Riverside (802-06-79) 5:30- 5:50 (193) Semigroup compactijications.II. Preliminary report. M. RAJAGOPALAN*, University of Toledo, and M. SATYANARAYANA, Bowling Green State University (802-20-189)

Saturday, 4:30 p.m. Special Session on Semigroups and Related Systems, III Meeting Room A4 4:30-- 4:50 (194) Regular simple semirings. JOHN ZELEZNIKOW, Michigan State University (802-20-111) 5:00·- 5:20 (195) Wreath products of ordered semigroups. ULRICH KNAUER*, University of Oldenburg, Federal Republic of Germany, and ALEKSANDER MIKHALEV, Moscow State University, USSR (802-20-177) 5:30- 5:50 (196) A semigroup of the fuzzy rational choice functions on X. JIN BAI KIM, West Virginia University, Morgantown (802-20-48)

Paul T. Bateman Urbana, Illinois Associate Secretary

MATHFILE User's Guide Three chapters of the user's guide will be sold 1980- are indexed using the 1980 Mathematics Sub­ separately. The entire guide, approximately 350 ject Classification, a further modification of the pages in loose-leaf format, is $50 list price and $38 earlier system. for members. (To order the complete guide, please Each column in the first portion of this chapter specify USERSGUIDE.) contains classification codes from the 1980 system, codes used in the cumulative index covering 1973 Abbreviations of Journal Names (Chapter 3) to 1979, verbal headings, and corresponding Library This list gives the form of references used in of Congress classification numbers. Mathematical Reviews. The abbreviation is followed The last few pages of the chapter show the by the complete title, the place of publication (and Library of Congress classffication numbers relevant other pertinent information when required for to mathematics, together with the corresponding clarity), the frequency of publication, the name and codes from the 1980 Mathematics Subject Classifica­ address of the publisher or distributor, and the date tion. of the first journal issue reviewed by Mathematical Reviews (if 1976 or later). The International Stan· MATHFILE User's Guide, Chapter 4 1982, 47 pp., 3-hole punched, unbound dard Serial Number and CODEN are given when List price $9, member price $9 available, followed by the Library of Congress title To order, please specify SUBJSEXPAN/N for the journal. This chapter contains much more information than the journal abbreviation list sold in the catalogue of AMS publications. Index of Subject Classification Words (Chapter 5) MATHFILE User's Guide, Chapter 3 This keyword in context index (KWIC} was con­ 1982, 91 pp., 3·hole punched, unbound structed by taking all the mathematically significant List price $13, member price $13 words from the headings and subheadings of the To order, please specify ABBREXPAN/N 1980 Mathematics Subject Classification, as displayed in Chapter 4, and arranging them alphabetically. Next Mathematics Classification Schemes (Chapter 4) to each word is the classification in which the word The classification system used in Mathematical occurs, followed by the name of the heading. Reviews has evolved over time. The material in MATHFILE User's Guide, Chapter 5 MATHFILE 1973-1979 was indexed using a modi­ 1982, 82 pp., 3·hoie punched, unbound fication of the AMS (MOS) Subject Classification List price $17, member price $17 Scheme devised in 1970. Entries in MATH Fl LE To order, please specify SUBJWORDIND/N Prepayment is required for all AMS publications. Order from AMS, P.O. Box 1571, Annex Station, Providence, Rl 02901, or call toll free 800-556-7774 to charge with Visa or MasterCard.

192 New York City, April14-15, 1983, New York Statler Second Announcement of the 803rd Meeting

The eight hundred and third meeting of the Zuhair Nashed, Pauli Pedersen, Heishel Rabitz, American Mathematical Society will be held at the Michael Vogelius, and Walter M. Wonham. New York Statler Hotel, Seventh Avenue and 33rd Singularities of algebraic and analytic varieties, Street, New York City, on Thursday and Friday, HENRY LAUFER, SUNY, Center at Stony Brook. April 14 and 15, 1983. The New York Statler is The tentative list of speakers includes David Eisen­ located directly across from Madison Square Garden bud, Robert Ephraim, Anatoly Libgober, Richard and Pennsylvania Station. Mandelbaum, Peter Orlik, Michael Schlessinger, Al­ phonse Vasquez, Philip Wagreich, Jonathan Wahl, Invited Addresses and Stephen S. T. Yau. The mathematical legacy of Hans Rademacher, By invitation of the Committee to Select Hour JOSEPH LEHNER, Institute for Advanced Study, Speakers for Eastern Sectional Meetings, there will be and MARVIN KNOPP, Temple University. The four invited one-hour addresses. The speakers, their tentative list of speakers includes Raymond Ayoub, affiliations, and titles of their talks are as follows: Bruce Berndt, David B. Bressoud, Harvey Cohn, W. DALE BROWNAWELL, Pennsylvania State R. Evans, Emil Grosswald, J. Hafner, Marvin University, University Park, Recent trends in Knopp, Joseph Lehner, T. A. Metzger, Morris transcendence theory. Newman, A. Parson, Mark Sheingorn, Harold Stark, RICHARD S. HAMILTON, Cornell University, K. Stolarsky, and A. Whiteman. Three-manifolds with positive Ricci curvature. Computational methods and fluid mechanics, OLIVER MCBRYAN, Courant Institute of Math­ OLIVER MCBRYAN. The tentative list of speakers ematical Sciences, New York University, Computa­ includes J. Bramble, P. Garabedian, A. Jamison, tional methods for discontinuous solutions. M. Kalds, K. Miller, S. Orszag, C. Peskin, and WOLFGANG ZILLER, University of Pennsyl­ N. Zabusky. vania, On the existence of closed geodesics on Value distribution theory and its applications, Riemannian manifolds. C. C. YANG, United States Naval Research Labora­ tories. The tentative list of speakers includes Chi-Tai Special Sessions Chuang, Albert Edrei, W. H. J. Fuchs, Fred Gross, By invitation of the same committee, there will G. Gundersen, L. S. 0. Liverpool, K. Niino, S. M. be nine special sessions of selected twenty-minute Shah, Daniel Shea, G. D. Song, S. Strelitz, H. Urabe, papers. The topics of these special sessions, the Jorg Winkler, N. Yanagihara, and Chung-Chun Yang. names of the mathematicians arranging them, and Variational problems in Riemannian geometry, partial lists of speakers are: WOLFGANG ZILLER. Abelian groups, K. BEN ABDULLA, University of Contributed Papers Montreal. Transcendence theory and Diophantine prob­ There will also be sessions for contributed ten­ lems, W. DALE BROWNAWELL. The tentative minute papers. Abstracts should have been sent to list of speakers includes Enrico Bombieri, Richard the American Mathematical Society so as to arrive Bumby, G.V. Chudnovsky, Thomas W. Cusick, prior to the deadline of February 15, 1983. Serge Lang, Jeffrey C. Lagarias, Julia Mueller, M. Nathanson, Andrew Odlyzko, Charles F. Osgood, Council Meeting Eric Reyssat, Michael L. Robinson, Joseph H. Silver­ man, Robert Tubbs, Wolfgang Schmidt, Cameron L. The Council of the Society will meet at 5:00 p.m. Stewart, and Giesbert Wiistholz. · on Thursday, April 14, in the Petite Terrace on the lobby level of the New York Statler. Combinatorial group theory, ANTHONY M. GAGLIONE, United States Naval Academy. The Symposium on fuverse Problems tentative list of speakers includes Michael Anshel, Joan S. Birman, S. Bachmuth, Frank Cannonito, With the anticipated support of the National Comerford, Joan L. Dyer, Verena Huber-Dyson, Science Foundation, a symposium on Inverse Prob­ Narain Gupta, Richard M. Hain, Ronald Hirshon, lems will be held on Tuesday and Wednesday, Luise C. Kappe, John La Bute, Roger C. Lyndon, April 12-13, 1983. The topic was selected by Dennis Spellman, Peter Stebe, Ruth R. Struik, the AMS-SIAM Committee on Applied Mathematics, Francis Tang, Carol Tretkoff, and Kenneth Weston. whose members are Roger Brockett, John Dennis, Sensitivity of functionals, V ADIM KOMKOV, Norman Lebovitz, Alan Newell (chairman), George West Virginia University. The tentative list of C. Papanicolaou, and Robert S. Warming. speakers includes Roger Brockett, A. V. Fiacco, E. J. Inverse methods are fundamental to most measure­ Haug, J. W. Hou, Vadim Komkov, J. Kyparisis, ment and detection problems in science, engineering,

193 and technology. Such problems arise in diverse areas Applied Mathematics, University of Arizona, Tucson, including tomography in medicine, image reconstruc­ Arizona 85721. tion and enhancement in astronomy, discovering oil deposits and general earth structure in seismology, Registration interpretation of satellite observations, detection of ocean currents, climatology, and many more. A The registration desk will be located in the variety of mathematical techniques, with various Cornell/Dartmouth Rooms of the Ivy Suite on the degrees of sophistication, are used to attack these ballroom floor of the New York Statler Hotel, and diverse physical problems which are generally cate­ will be open from 8:30 a.m. to 4:00 p.m. Tuesday gorized by the necessity of dealing with insufficient through Thursday, and from 8:30 a.m. to 2:00 p.m. and/or inaccurate data of one sort or another. on Friday. Registration fees for the symposium and The symposium will be organized in four sections, meeting are: each of which is designed to provide a generally Symposium Only accessible overview of current progress and to describe outstanding current problems in one typical area. The Nonmember $30 speakers, and the titles of their talks, are: Member AMS/SIAM $20 1. Geophysical Inverse Problems, ROBERT Student/Unemployed $10 Diego), PARKER {University of California, San An Meeting Only inverse problem of electromagnetism arising in geophysics; and JOHN WOODHOUSE {Harvard Nonmember $16 University), The joint inversion of seismic wave Member AMS/SIAM $10 forms for lateral variations in earth structure and Student/Unemployed $ 5 earthquake source parameters. Symposium and Meeting 2. Computed Tomography and Inverse Prob­ lems in Medicine, A. M. CORMACK (Tufts Nonmember $46 University), A variation on Radon's problems; Member AMS /SIAM $30 JAMES F. GREENLEAF {Mayo Foundation), Com­ Student/Unemployed $15 puted tomography from ultrasound scattered by biological tissues; F. ALBERTO GRUNBAUM Book Exhibits and Sale {University of California, Berkeley); LAWRENCE A. SHEPP {Bell Laboratories), The need to choose An exhibit of assorted mathematics books offered different models for each of x-ray, NMR, and by various publishers, and a sale of recent books emission CT; and KENNAN T. SMITH {Oregon published by the American Mathematical Society, State University), Inversion of the x-ray transform. will be located in the Cornell/Dartmouth Rooms during the above registration hours Tuesday through 3. Methods of Maximum Information Entropy,· Friday. EDWIN T. JAYNES {Washington University), Prior information and ambiguity in generalized in­ Accommodations verse problems; JOHN SHORE {U. S. Naval Re­ search Laboratory), Maximum entropy, minimum A block of rooms is being held at the New York cross-entropy, and logical inference; and JOHN Statler Hotel for use by participants attending the SKILLING {, England), The symposium and meeting. Participants should make entropy of an image. their reservations prior to the cut-off date of March 4. Developments in Mathematical Inverse 14, after which requests for rooms will be honored Theory, ROGER G. NEWTON {Indiana Univer­ on a space available basis. The rates shown below sity, Bloomington), Review of the inverse spectral are subject to 8.25 percent sales and $2 per night problem in R 3; JAMES V. RALSTON {University of occupancy taxes. A rollaway cot for an extra person California, Los Angeles), Isospectral periodic poten­ can be added to double or twin sleeping rooms only. tials onRn; W. SYMES (Michigan State University), Note that there is no charge for a maximum of two Some aspects of inverse problems in several­ children under the age of 17 years when occupying dimensional wave propagation; and MICHAEL S. a room with parents, provided a rollaway cot is not VOGELIUS {University of Maryland, College Park), required. If the reservation is to be guaranteed and A discussion of the determination of conductivity the room held for arrival after 6:00 p.m., an American based on boundary measurements. Express charge card number (or check to cover the The members of the Organizing Committee are first night's accommodations) must accompany the Robert Burridge, Courant Institute of Mathematical reservation. No other charge cards are accepted Sciences, New York University; Joseph B. Keller, for guaranteed reservations, although they will be Stanford University; R. B. Marr, Brookhaven accepted for payment of the bill for rooms occupied. National Laboratory; D. W. McLaughlin {chairman), The address to which reservations must be sent is University of Arizona; and C. R. Smith, University of shown below. For your convenience, a reservation Wyoming. Further information about the symposium form will be found at the back of this issue of the can be obtained from D. W. McLaughlin, Program in Notices.

194 New York Statler Hotel Room Reservations Office 7th Avenue and 33rd Street CONTEMPORARY MATHEMATICS New York, New York 10001 (ISSN 0271-4132) Telephone: 212-736-5000 Single $64, 70, 78, 88, 98 UMBRAL CALCULUS AND HOPF ALGEBRAS Double/Twin $81, 87, 95, 105, 115 edited by Robert Morris Rollaway $16 extra per person CONTENTS: The Statler offers a variety of restaurants, including 5. A. joni and G.-C. Rota, Coa/gebras and bialge­ the Deli-Express off the lower lobby where moderately bras in combinatorics priced food and beverages are served cafeteria-style Warren Nichols and Moss Sweedler, Hopf algebras and combinatorics to either eat in or take out. This book represents a unique blending of two Travel fields only recently recognized as related. On one The New York Statler is conveniently located hand lies the field of combinatorics with roots (at across Seventh Avenue from Pennsylvania Station, least immediately traceable via generating functions where Amtrak trains arrive from Washington, D.C., to umbra! calculus, the speciality at hand) in the Philadelphia, Boston, and Montreal, in addition to 19th century writings of Boole on operator calculus. Both the foundations and much of the history of Long Island Railroad commuter trains. Seventh the umbra! calculus are explored in great clarity in Avenue is reached from the main concourse by stairs previous papers by Rota and others. On the other and escalator. Amtrak trains from upper New York hand is the field of Hopf algebras, which is usually State, Toronto, and Chicago, as well as Conrail traced to a paper of Milnor and Moore but whose commuter trains, come into Grand Central Terminal first general exposition by Sweedler is little more which is located at 42nd Street between Park and than a decade old. Vanderbilt Avenues. Both Rota and Sweedler were pleased when the All of the major airlines and many commuter University of Oklahoma was able to support their joint appearance at a conference funded by the airlines serve the New York metropolitan airports. j. C. Karcher Foundation in May, 1978. The confer­ From LaGuardia Airport, located 8 miles northeast ence centered on lectures they gave, with 5. A. j ani of New York City, Carey Bus provides ground assisting Rota. Sweedler lectured first on elementary transportation every 20 to 25 minutes between 6:50 coalgebra theory aimed at combinatorists, Rota on a.m. and 12:30 a.m. to 42nd Street and Park Avenue elementary combinatorics aimed at the algebraists. at a cost of $4 per person. From John F. Kennedy Both lectures converged toward those who were or International Airport, located 15 miles southeast would work at the intersection. Sweedler and Warren of New York City, Carey Bus operates every 20 Nichols prepared notes of Sweedler's talks and joni to 30 minutes between 5:20 a.m. and midnight, and Rota of Rota's and a mimeographed version was dropping passengers off at the East Side Airlines circulated by the Oklahoma Mathematics Department. Terminal at 38th Street and First Avenue; the The present volume makes these more accessible. The Swecdler notes here arc essentially unchanged fare is approximately $5 per person. Passengers from those distributed by Oklahoma. They aim, in a arriving at Newark International Airport, 16 miles direct and elementary way, to give the reader suffi­ southwest of New York City, can take the New cient knowledge of coalgebra theory to understand Jersey Transit Express bus, which operates every 15 the coalgebra formulation of special sequences of to 30 minutes from 5:00 a.m. to midnight; it costs polynomials. approximately $4 per person and drops passengers The Rota notes are reproduced from Studies in off at the Port Authority Bus Terminal. Mini-Bus Applied Mathematics, volume 61, and represent a Service also operates from Newark Airport to some of reworking of the original, with corrections and a the midtown Manhattan hotels every one-half hour few additions. They contain detailed applications Monday through Friday. The fare ranges up to $10, not only to umbra! calculus, but to partition stud­ ies, incidence algebras, lattice theory, and other and further information can be obtained by calling traditional spheres of combinatoric interest. The 212-586-8280. notes form a broad survey for anyone who would The Port Authority Bus Terminal is located at like detailed and concrete examples of the areas 41st Street and Eighth Avenue; it serves all buses already known to be amenable to a coalgebraic ap­ coming into New York City, including the proach. Transit Express buses from Newark Airport. 1980 Mathematics Subject Classifications: 16A24, 05820, 05-02, 16A20 Parking Volume 6, viii + 84 pages (soft cover) list price $9, institutional member $7, The Statler Hotel offers in-once valet parking for individual member $5 ISBN 0-8218-5003·2; LC 81·22756 guests, the current rate for which is $15 per day. Publication date: February 1982 There are several parking garages in the vicinity of To order, please specify CONM/6N the hotel, the closest one being on 31st Street (across Prepayment is required for all AMS publications. from Madison Square Garden). Order from AMS, PO Box 1571, Annex Station, W. Wistar Comfort Providence, Rl 02901, or call 800-556-7774 Middletown, Connecticut Associate Secretary to charge with VISA or MasterCard.

195 Salt Lake City, April 29-30, 1983, University of Utah First announcement of the 804th meeting

The eight hundred and fourth meeting of the C. Livingston, K. Millett, L. Montejano, U. Oer­ American Mathematical Society will be held at the tel, D. Ruberman, T. B. Rushing, Nobuyuki Sato, University of Utah in Salt Lake City on Friday D. Schorow, R. Stern, B. Trace, and D. Wright. and Saturday, April 29-30, 1983. This meeting The deadline for abstracts has expired. will be held in conjunction with a meeting of the Contributed Papers Mathematical Association of America (MAA). There will also be sessions for contributed ten- Invited Addresses minute papers. The deadline for abstracts has By invitation of the Committee to Select Hour expired. Speakers for Far West,ern Sectional Meetings, there MAAProgram will be two invited one-hour addresses. The speakers are: The MAA program will include two invited WILLIAM AR.VESON, University of California, speakers. RICHARD D. ANDERSON of Louisiana Berkeley, title to be announced. State University, Baton Rouge, will deliver an address entitled, Some recent results in infinite LANCE SMALL, University of California, San dimensional topology. JEAN J. PEDERSEN of Diego, Finitely generated rings satisfying a poly­ the University of Santa Clara will deliver an address nomial identity. entitled, Approximating n-gons by folding paper: Speeial Sessions an interplay of analysis, geometry and number By invitation of the same committee, there will be .theory. five special sessions of selected twenty-minute papers. There will be a session for student papers The topics of these special sessions, the names of the organized by L. J. KRATZ of Idaho State University. organizers, and partial lists of speakers are as follows: A panel discussion on Industrial Opportunities Computer-aided geometric design, PETER AL­ and Applications will be moderated by R. L. FELD and ROBERT BARNHILL, University of CARPENTER of Thiokol Corporation. Utah. The tentative list of speakers includes Peter Immediately following the AMS session on Alfeld, Paul R. Arner, Robert Barnhill, Gerald Farin, Computer-aided geometric design, there will be a R. Franke, G. Herron, T. Jensen, P. Kochevar, one-hour computer-aided geometric design interactive G. Nielson, G. Petersen, K. Salkauskas, S. Stead, graphics workshop. T. Whelan, and A. WorsP:y. Registration Theory and applications of cocycles for an The registration desk will be located in the foyer , LAWRENCE W. BAGGETT, of the Lecture Hall Rotunda in the John Fletcher University of Colorado, Boulder. The tentative list Building and will be open from 1:00 p.m. to 5:30 of speakers includes B. Brenken, R. Boyer, R. Fabec, p.m. on Friday, and from 8:00 a.m. to 1:30 p.m. H. Helson, J. Jenkins, K. Merrill, A. Ramsay, and on Saturday. The registration fees will be $6 for R. Zimmer. members of AMS or MAA, $8 for nonmembers, and Noncommutative ring theory, KENNETH R. $2 for students and unemployed mathematicians. GOODEARL and T. LENAGAN, University of Aeeomodations Utah. The tentative list of speakers includes H. H. Brungs, J. K. Haack, T. J. Hodges, W. K. Nicholson, Although rooms have not been blocked at the Stanley S. Page, S. K. Seghal, S. P. Smith, and following motels and hotels, they are included here Kalathoor Varadarajan. for information purposes and participants are advised Nonlinear elliptic and parabolic partial differ­ to mention the mathematics meeting when making ential equations, KLAUS SCHMITT, University of reservations. All hotels and motels are in Salt Lake Utah. The tentative list of speakers includes W. Alt, City within twol miles of the University of Utah Peter W. Bates, J. Bebernes, Stephen Cantrell, S. N. campus, and on direct bus lines. For information Chow, C. Cosner, S. Dunbar, F. Hoppenstaedt, on local bus routes, call 801-263-3737. Prices shown F. A. Howes, C. Jones, Gene A. Klaasen, J. Keener, below do not include the applicable 9% tax. A. Lazer, J. Mawhin, H. Othmer, D. Sather, Desert Inn J. Smoller, and James Ward. 50 West 500 South, 84101 Four-dimensional topology, RONALD J. Telephone: 801-532-2900 STERN, University of Utah. The tentative list Single $27 Double $30 (one bed) of speakers includes R. Ancel, S. Bleiler, James W. $33 (two beds) Cannon, E. Chamberlin, T. Cochran, D. Coram, Howard Johnson's M. Culler, W. Eaton, A. Edmonds, R. Fintushel, 122 West South Temple, 84101 P. Gilmer, R. Gompf, C. Gordon, M. Handel, Telephone: 801-521-0130 J. Harer, J. Hempel, J. Hoste, T. Lawson, Y. Lee, Single $35 up Double $38 up

196 Hotel Utah South Temple and Main Streets, 84111 Telephone: 801-531-1000 or 800-323-7500 PROCEEDINGS OF SYMPOSIA Single $45 up Double $45 up IN PURE MATHEMATICS Little America 500 South Main Street 84101 Telephone: 801-363-9928 IN EUCLIDEAN SPACES Single $38 up Double $46 up edited by and Stephen Wainger MotelS The two volumes of these Proceedings are made 176 West 600 South, Salt Lake City 84101 up of several articles that cover a large part of the Telephone: 801-521-3280 considerable development in harmonic analysis in Rn Single $16 Double $20 and related fields that occurred during the last decade. 3-4 persons $23 This progress resulted from the evolution of what are known as "real variable methods" and from new, Salt Palace TraveLodge important applications of the Fourier transform. 215 West North Temple Street, 84103 Moreover, these techniques have accompanied a fruit­ Telephone: 801-532-1000 or 800-255-3050 ful interaction of harmonic analysis with other Single $28 Double $33 (one bed) branches of analysis. $35 (two beds) The book is directed to analysts with an inter­ Scenic Motel est in either keeping up with the most recent re­ 1345 Foothill Drive, Salt Lake City 84108 search in harmonic analysis or those who are actively involved in research in this area. The background Single $25.50 Double $28 (one bed) required is a working knowledge of classical harmonic $30 (two beds) analysis in Euclidean spaces plus expertise in some of Social Events the following areas: Representation theory of Lie groups, theory of functions, and There will be a banquet on Friday evening, April partial differential equations. 29, after the sessions. The featured speaker at the Readers of these Proceedings can expect to banquet will be RICHARD D. ANDERSON, the gain a good perspective of the work being done in immediate past president of the MAA. His topic this type of harmonic analysis at this time. Exposi­ is School mathematics in the calculator-computer tory articles usually precede the more technical ones age. in the same subject. Articles by the following authors The entree at the banquet will be New York are of an expository nature: Colin Bennett, D. L. Burkholder, R. R. Coifman, Antonio Cordoba, Bjorn cut steak; the cost will be $15.50 (including tip). E. J. Dahlberg, C. Fefferman, R. Fefferman, John E. Participation is limited by the size of the dining Gilbert, N. Kerzman, Adam Koranyi, , room. Those wishing to reserve a place or places Benjamin Muckenhoupt, D. Phong, Robert Sharpley, should do so by writing to Karen Edge, Department E. M. Stein, Mitchell H. Taibleson, Michael E. Taylor, of Mathematics, University of Utah, Salt Lake City, N. Th. Varopoulos, Stephen Wainger, and Guido Utah 84112. A check or money order for $15.50 per Weiss. person should be enclosed and must arrive prior to As mentioned above, the book's most significant April 15, 1983. contribution is that it does present the actual "state of the art" in real harmonic analysis, the study of Local Information Hardy spaces, harmonic functions, potential theory, The University of Utah is located in Salt Lake the theory of one and more complex variables asso­ City, about two miles directly east of the downtown ciated with harmonic analysis, pseudo differential district. Salt Lake City is served by a number operators, partial differential equations and harmonic analysis in of airlines, including American, Continental, Delta, the settings of: Probability, local fields, Lie groups and functional analysis. Eastern, Frontier, Republi~, United, Western, and The two volumes contain 102 papers. There Wien. Most of the major hotels provide limousine are no other books having this scope. service to and from the airport. In addition, the city Volume 35, Parts l, 2 center can be reached from the airport by city bus xxvi + 460 pages (Part I) List prict! $32, institutional m~mbt!r $24, (50 cents) or taxi ($6). individual member $16 Persons arriving by automobile can most easily vii + 438 pages (Part 2) reach the city center by taking the Sixth South List price $30, institutional member $23. individual member $1 5 exit off I-15. There is no public parking available Set: List price $54. institutional member $41, on campus Friday, but a one-day permit may be individual memher $27 Part 1: ISBN 0-8218-1436-2; LC 79-12726 purchased for 50 cents. Parking in all lots is available Part 2: ISBN 0-8218-1438-9; LC 79-12726 on Saturday. Publication date: July I 5, 1979 To order, please specify PSPUM/35 (set), PSPUM/35.1 (Part I); PSPUM/35.2 (Part 2) Hugo Rossi Salt Lake City, Utah Associate Secretary Prepayment is required for all AMS publications. Order from AMS, PO box 1571, Annex Station, Providence, Rl 02901, or call 800-556-7774 to charge with VISA or MasterCard.

197 On Some Mathematical Questions in Biology-Muscle Physiology 1983 Symposium, Detroit, Michigan, May 31, 1983

The seventeenth annual Symposium on Some The program has been arranged by an organizing Mathematical Questions in Biology will be held on committee consisting of H. Thomas Banks (Brown May 31, 1983, in the Brule A Room of the Westin University), Joel E. Cohen (Center for Advanced Hotel, Detroit, Michigan, in conjunction with the Study, Stanford), Frank C. Hoppensteadt (University annual meeting of the American Association for of Utah), Joseph B. Keller (Stanford University), the Advancement of Science. The symposium is Donald A. Ludwig (University of British Columbia), sponsored by the American Mathematical Society, Robert M. Miura (University of British Columbia), the Society for Industrial and Applied Mathematics, chairman, Garrett M. Odell (Rensselaer Polytechnic and Section A of the American Association for the Institute), and Charles S. Peskin (Courant Institute, Advancement of Science. Cosponsor: Section G. New York University). Details regarding registration and local arrangements The theme of the symposium is Muscle Physiology, for the AAAS meeting are scheduled to appear in the the study of the mechanisms which cause muscle February issue of Science. contraction. There will be two half-day sessions, each including three one-hour lectures.

PROGRAM Chairman: Robert M. Miura 9:00a.m. Some Mathematical Questions in Biology-Muscle Physiology Presiding: ROBERT M. MIURA The molecular mechanism of muscular contraction. HUGH E. HUXLEY, University Medical School, Cambridge, England The relationship between muscle biochemistry and muscle physiology. EVAN EISENBERG, National Institutes of Health A model of muscle contraction based upon component studies. MICHAEL B. PROPP, Massachusetts Institute of Technology

1:30p.m. Some Mathematical Questions in Biology-Muscle Physiology Presiding: CHARLES S. PESKIN Mathematical methods for determining cross-bridge properties uniquely from mechanical experiments on macroscopic muscle. H. MICHAEL LACKER, New York University Sarcomere dynamics-some physical insights into cardiac contraction. JOHN W. KRUEGER, Albert Einstein College of Medicine Electrical field problems in muscle: meaning to muscle, mathematicians, and physiologists. ROBERT S. EISENBERG, Rush Medical College

198 1983 Summer Seminar 1983 Summer Research Institute In Applied Mathematics Nonlinear Funetional Analysis and Applieations July 11-29, 1989 Large-seale Computations University of California, Berkeley in Fluid Meehanies The thirty-first Suii1IIler Research Institute spon­ sored by the American Mathematical Society will June 21-July 8, 1989 be devoted to nonlinear functional analysis and will Scripps Institution of Oceanography take place at the University of California, Berkeley, University of California, San Diego from July 11-29, 1983. Members of the Organiz­ La Jolla, California ing Coii1IIlittee include Haim Brezis, (chairman), Tosio Kato, J. L. Lions, , The fifteenth AMS-SIAM Summer Seminar in and Paul Rabinowitz. It is anticipated that the Applied Mathematics will be held June 27-July 8, institute will be supported by a grant from the 1983, and will take place at the Scripps Institution National Science Foundation. of Oceanography, University of California, San Diego, The topic was selected by the 1982 Committee La Jolla, California. The seminar will be sponsored on Summer Institutes, whose members were Morris jointly by the American Mathematical Society and the W. Hirsch, Robert Osserman (chairman), George C. Society for Industrial and Applied Mathematics, and it Papanicolaou, Wilfried Schmid, Harold Stark, and is anticipated that it will be supported by a grant from Stephen Wainger. a federal agency. The topic Large-scale computations During the past two decades there has been a in fluid mechanics was selected by the AMS-SIAM strong upsurge of activity in the study of nonlinear Committee on Applied Mathematics whose members problems in analysis, involving both the development at the time were John Dennis, Norman Lebovitz, Alan of general methods for the study of relatively broad Newell, (chairman), and George C. Papanicolaou. The classes of problems and the attack on many significant members of the organizing commitee are Alexandre classes of special problems. The primary objective J. Chorin (University of California, Berkeley), Bjorn of the institute is to bring together the specialists E. Engquist (University of California, Los Angeles), in the various branches of this development to foster Stanley J. Osher (University of California, Los a unified view of what has been achieved and the Angeles), and Richard C. J. Somerville, chairman principal directions of future development, as well as (University of California, San Diego). the current state of the art in the applications of In the early spring a brochure will be available general methods to problems of importance in applied (from the AMS office) which will include a description mathematics and mathematical physics. There of the scientific program, as well as information on has been no broad-scale meeting surveying these the residence and dining hall facilities, with firm room developments either in the United States or on an and board rates, local information, and a reservation international level during the past decade. The form to be used to obtain accoii1IIlodations on campus. institute will have two levels of organization, the first Each participant will pay a social fee to cover the centering on the general levels of methodology in the cost of refreshments served at breaks and for social field, and the second a more extensive development events. There will also be a meeting registration fee of the application of these methods to various broad of $30 ($10 for students and unemployed individuals). classes of important problems, centering primarily Individuals may apply for admission to the seminar. upon nonlinear partial differential equations. Application blanks for admission and/or financial Housing accoii1IIlodations will be available in the assistance can be obtained from the Meetings Depart­ campus residence halls for participants and their ment, American Mathematical Society, P. 0. Box families, and daily meals will be served in the 6248, Providence, Rhode Island 02940. The deadline adjacent dining hall. Facilities are fully accessible for return of applications is March 4, 1983. An to the handicapped. In the spring a brochure will applicant should have completed at least one year be mailed to all who· are invited to attend. It of graduate school and will be asked to indicate will include information about the scientific program, his or her scientific background and interest. A the residence and dining facilities, firm room and graduate student's application must be accompanied board rates, as well as travel and local information by a letter from his or her faculty advisor concerning and a reservation form to be used for obtaining the applicant's ability and promise. Those who wish accommodations at Berkeley. Each participant will to apply for a grant-in-aid should so indicate on the pay a social fee to cover the cost of refreshments application form; however, funds available for the served at breaks and for social events, in additon to seminar are limited and individuals who can obtain a meeting registration fee of $45 (reduced to $15 for support from other sources should do so. students). Funds for support will be limited and, therefore, it will be necessary for many participants to obtain their own funds. Anyone who wishes to receive an invitation to participate in the institute and/or be considered for financial assistance should write to Mrs. Dorothy Smith, American Mathematical Society, P. 0. Box 6248, Providence, R.I. 02940 prior to April 15, 1983. The Organizing Committee will then consider all requests and successful applicants will be informed sometime thereafter if funds are available to provide support.

199 Call For Topics For 1985 AMS Conferences

Suggestions are invited from mathematicians, 1985 AMS Summer Institute either singly or in groups, for topics of the various conferences that will be sponsored by the Society in Summer institutes are intended to provide an 1985. The deadline for receipt of these suggestions, understandable presentation of the state of the art and the name and address of the person to whom in an active field of research in pure mathematics, the information should be sent, as well as some and usually extend over a three-week period. Dates relevant information about each of the conferences for a summer institute must not overlap those of are outlined below. The accompanying form (or the Society's summer meeting (not known at this a facsimile thereof) is to be used when submitting printing, but sometime in August) and, in fact, there suggested topic(s) for any of these conferences. should be a period of at least one week between them. Individuals willing to serve as organizers should be Recent topics have been Operator algebras and aware that the professional meeting staff in the applications (1980); Singularities (1981); Society's Providence office will provide full support theory (1982); and Nonlinear functional analysis and assistance, before, during, and after each of and its applications (1983). Proceedings are pub­ these conferences. Organizers should also note that lished by the Society as volumes in the series a member of the Organizing Committee must be Proceedings of Symposia in Pure Mathematics. willing to serve as editor of the proceedings volume Deadline For Suggestions: August 15, 1983 that will be published by the Society. Submit to: Professor Robert Osserman, Chairman, All suggestions must include (1) the names and AMS Committee on Summer Institutes, Department affiliations of proposed members and chairman of of Mathematics, Stanford University, Stanford, the Organizing Committee; (2) a two- or three­ California 94305. page detailed outline of the subject(s) to be covered, including the importance and timeliness of the topic; 1985 AMS-SIAM Symposium (3) a list of the recent conferences in the same or Some Mathematical Questions in Biology closely related areas; (4) the names and affiliations of the proposed principal speakers; and (5) a list of This one-day symposium is held in conjunction likely candidates who would be invited to participate with the Annual Meeting of the AAAS in May. and their current affiliations. Any suggestions as to Some recent topics in these annual symposia sites and dates should be made as early as possible have been Theoretical and experimental studies in order to allow adequate time for planning. In the in cellular, developmental and population biology case of a Summer Research Conference, a one-, two-, (1980), Biomechanics and mathematical models in or three-week conference may be proposed. developmental biology (1981), Neurobiology, the study of the nervous systems of oraganisms (1982). 1985 AMS-SIAM Symposium In The 1983 Symposium will be on Muscle physiology. Papers from the symposium are published by the Applied Mathematics Society as volumes in the series Lectures on Mathematics in the Life Sciences. A two-day symposium in applied mathematics will henceforth take place in every odd-numbered year Deadline For Suggestions: August 15, 1983 in conjunction with a spring Eastern Sectional Meet­ Submit to Dr. Robert M. Miura, Chairman, ing. The 1983 symposium, whose topic is Inverse AMS-SIAM Committee on Mathematics in the Life problems, will be held in New York City on April Sciences, Department of Mathematics, University 12-13. The next such symposium will be held during of British Columbia, 121-1984 Mathematics Road, the two days preceding the 1985 spring meeting Vancouver, B.C., Canada. at a site that has not yet been selected. Some topics in recent years have been Computational fluid 1985 AMS-SIAM Summer Seminar dynamics (1977); Mathematical problems in frac­ ture mechanics (1978); and Mathematical psychol­ The goal of the summer seminar is to provide an ogy and psychophysiology (1980). Proceedings are environment and program in applied mathematics published by the Society as volumes in the series in which experts can exchange the latest ideas and SIAM-AMS Proceedings. newcomers can learn about the field. Recent topics Deadline For Suggestions: August 15, 1983 are Algebraic and geometric methods in linear systems theory (1979), Mathematical aspects of Submit to: Professor Alan C. Newell, Chairman, physiology (1980), Fluid dynamical problems in AMS-SIAM Committee on Applied Mathematics, astrophysics and geophysics (1981), Applications Program in Applied Mathematics, University of of group theory in physics and mathematical Arizona, Tucson, Arizona 85721. physics (1982), and Large-scale computations in

200 fluid mechanics (1983). Proceedings are published by the Society as volumes in the series Lectures in Applied Mathematics. AMS SHORT COURSE SERIES Deadline For Suggestions: August 15, 1983 Proceedings of Symposia in Applied Mathematics Submit to: Professor Alan C. Newell, Chairman, AMS-SIAM Committee on Applied Mathematics, GAME THEORY AND ITS APPLICATIONS Program in Applied Mathematics, University of edited by William F. Lucas Arizona, Tucson, Arizona 85721. This volume contains the lecture notes prepared by the speakers in the short course on Game Theory 1985 AMS Summer Research and its Applications given in Biloxi, Mississippi in 1979. Conference Series Game theory has been a topic of broad interest as a purely theoretical subject which has relation­ These conferences are similar in structure to ships to many other mathematical areas, and also as those held at Oberwolfach, and represent diverse a subject widely used in applications over a large areas of mathematical activity, with emphasis on variety of problem areas. It is concerned with mathe­ areas currently especially active. Careful attention matical models for situations involving conflict and/ is paid to subjects in which there is important or cooperation. These arise in a fundamental way interdisciplinary activity at present. Topics for throughout the behavioral and decision sciences. the second series of one-week conferences, being Game theory has become a basic modeling technique held in 1983, are Combinatorics and algebra, in much of modern economic theory, political sci­ ence, sociology, and operations research, and it has Applications of algebraic K-theory to algebraic frequently been applied to many other fields. It is a geometry and number theory, Axiomatic set subject highly suitable for joint research of an inter­ theory, Group actions on manifolds, Ordered disciplinary nature. fields and real algebraic geometry, Microlocal This volume is concerned mostly with the n-per­ analysis, Fluids and plasmas, geometry and son theory (n;;. 3}, although chapter 6 also describes dynamics, Probability theory, partial differential several basic two-person models. The first five chap­ equations and applications, Geometrical analysis ters deal for the most part with the multipcrson co­ of singularities, and Kleinian groups. Proceedings operative games in the characteristic function (coali­ are scheduled to be published by the Society as tional} form. The normal (strategic} form and the extensive (tree} form of a noncooperative game arc volumes in the series Contemporary Mathematics. stressed in chapter 6, although some basic definitions Deadline For Suggestions: August 15, 1983 for the normal form do appear in an earlier chapter. Selected applications of the theory which arc covered Submit to: Professor R. 0. Wells, Jr., Chairman, here in some detail include economic market games, AMS Committee on Summer Research Conferences, measuring power in political systems, equitable allo­ Department of Mathematics, Rice University, Hous­ cation of costs, and auctions. Many of the important ton, Texas 77001. recent uses of game theory have involved the n-per­ son cooperative models. These lectures were presented to an audience of 1985 AMS Short Course Series mature mathematicians. Nevertheless, this volume could also serve as a textbook for a general course AMS The Short Courses consist of a series of in game theory at the upper division or graduate lectures and discussions ordinarily extending over a levels. period of one and one-half days immediately prior to William F. Lucas, The multiperson cooperative games the Joint Mathematics Meetings held in January and William F. Lucas, Applications of cooperative games August each year. Each of the courses is devoted to to equitable allocation a specific area of applied mathematics or to areas of Louis j. Billcra, Economic market games mathematics used in the study of a specific subject L. S. Shapley, Valuation of games or collection of problems in one of the physical, L. S. Shapley, Measurement of power ill political biological, or social sciences. Topics in recent years systems have been Networks (August 1981), Tomography Robert j. Weber, Noncooperative games (January 1982), Statistical Data Analysis (August 1980 Mathematics Subject Classification: 900 1982), and Computer Communications (January Volume 24, viii + 128 pages 1983). Proceedings are published by the Society as List price $13, institutional member $10, volumes in the series Proceedings of Symposia in all individuals $7 ISBN 0-8218-0025-6; LC 81-12914 Applied Mathematics. Publication date: October 1981 To order, please specify PSAPM/24N (soft cover) Deadline for Suggestions: July 1, 1983 for January 1985 course and December 1, 1983 for August 1985 course Prepayment is required for all AMS publications_ Submit to: Professor Stefan A. Burr, Chairman, Order from AMS, PO Box 1571, Annex Station, AMS Short Course Subcommittee, Department of Providence, Rl 02901, or call 800-556-7774 Computer Sciences, CUNY, City College, New York, to charge with VISA or MasterCard. New York 10031.

201 American Mathematical Society Conferences Suggested Topic For 1985 Conference (check one)

0 AMS-SIAM Symposium in Applied Mathe­ 0 AMS-SIAM Summer Seminar (In applied math­ matics (Held in conjunction with an Eastern ematics and held in June/ July) Sectional Meeting) Submit this form before the August 15, 1983 Submit this form before the August 15, 1983 deadline. deadline. O AMS Summer Research Conferences (Series 0 AMS Summer Institute (In pure mathematics of six to ten week-long conferences held in and usually held in July/ August) June/July/August) Submit this form before the August 15, 1983 Submit this form before the August 15, 1983 deadline. deadline. 0 AMS Symposium on Some Mathematical O AMS Short Course Series (Held in conjunction Questions in Biology (Held in conjunction with with Annual and Summer meetings) AAAS Annual Meeting) Submit this form before the July 1, 1983 and Submit this form before the August 15, 1983 December 1, 1983 deadlines. deadline.

Please print or type your responses. Return completed application to chairman of appropriate committee by deadline listed.

I propose organizing an AMS conference in 1985, as specified above, on the following topic:

I suggest the following members and chairman of the Organizing Committee. These individuals have D / have not D been requested to serve on that committee. (Prospective committee members, chairman, and their current affiliations.)

Date ______Submitted by------Address ______

N.B.: Please attach a two- or three-page detailed outline of the subject(s) to be covered, including the importance and timeliness of the topic, a list of the recent conferences in the same or closely related areas, the names and affiliations of the proposed principal speakers, and a list of appropriate candidates for invitations to participate and their current affiliations.

202 Invited Speakers April 1983 Meeting in Salt Lake City Far Western Section Deadline for organizers: Expired and Special Sessions Deadline for consideration: Expired Peter Alfeld and Robert Barnhill, Computer-aided Invited Speakers at AMS Meetings geometric design Lawrence W. Baggett, Theory and applications of The individuals listed below have accepted invita­ cocycles for an irrational rotation tions to address the Society at the times and places Kenneth R. Goodearl and T. H. Lenagan, Noncom­ indicated. For some meetings, the list of speakers is mutative ring theory incomplete. Klaus Schmitt, Nonlinear elliptic and parabolic partial differential equations New York, April1983 Ronald J. Stern, Four-dimensional topology W. Dale Brownawell Oliver McBryan August 1983 Meeting in Albany Richard S. Hamilton Wolfgang Ziller Associate Secretary: Hugo Rossi Salt Lake City, April1983 Deadline for organizers: Expired Deadline for consideration: April 26 William Arveson Lance Small Melvyn Berger, Calculus of variations and its Albany, August 1983 applications Louis Block, Dynamical systems Selman Akbulut Ira Herbst Nathaniel A. Friedman, concerning James Eells Herv~ Jacquet point transformations with finite invariant Robert C. Gunning J. H. B. Kemperman measure Leo A. Harrington Wen-Ch'ing Winnie Li Colin C. Graham and Bertram M. Schreiber, Tensor products and p-summing operators Fairfield, October 1983 in harmonic analysis John Harer Daniel J. Kleitman Timothy A. Lance, Applications of algebraic topology San Luis Obispo, November 1983 R. Michael Range, Several complex variables Peter B. Gilkey T. S. Lam Billy E. Rhoades, Summability methods V. M. Sehgal and S. P. Singh, Solutions of operator Organizers and Topics equations and fixed points Srinivasa Swaminathan, Differential analysis in of Special Sessions infinite dimensional spaces Edward C. Turner, Topological methods in com­ The list below contains all the information about binatorial group theory Special Sessions at meetings of the Society available at the time this issue of the Notices went to the October 1983 Meeting in Fairfield Eastern Section printer. Deadline for organizers: March 15, 1989 The section below entitled Information for Deadline for consideration: To be announced Organizers describes the timetable for announcing November 1983 Meeting in San Luis Obispo the existence of Special Sessions. Far Western Section Deadline for organizers: March 15, ·1989 April1983 Meeting in New York Deadline for consideration: To be announced Eastern Section Estelle Basor, Operator theory Audrey A. Terras, Automorphic forms Deadline for organizers: Expired Deadline for consideration: Expired Ahmed I. Zayed, Partial differential equations, K. Benabdulla, Abelian groups theory and applications W. Dale Brownawell, Transcendence theory and November 1983 Meeting in Evanston Diophantine problems Central Section Deadline for organizers: March 15, 1989 Anthony M. Gaglione, Combinatorial group theory Deadline for consideration: To be announced Vadim Komkov, Sensitivity of functionals January 1984 Meeting in Louisville Henry Laufer, Singularities of algebraic and Associate Secretary: W. Wistar Comfort analytic varieties Deadline for organizers: April15, 1989 Joseph Lehner and Marvin Knopp, The mathemati­ Deadline for consideration: To be announced cal legacy of Hans Rademacher April1984 Meeting in Notre Dame Oliver McBryan, Computational methods and fluid Central Section Deadline for organizers: July 15, 1989 mechanics Deadline for consideration: To be announced C. C. Yang, Value distribution theory and its Spring 1984 Meetings applications Far Western Section Wolfgang Ziller, Variational problems in Rieman­ Eastern Section nian geometry Southeastern Section Deadline for organizers: July 15, 1989 Deadline for consideration: To be announced

203 Information for Organizers Send Proposals for Special Sessions to the Special Sessions at Annual and Summer meetings Associate Secretaries are held under the general supervision of the The programs of sectional meetings are arranged Program Committee. They are administered by by the Associate Secretary for the section in the Associate Secretary in charge of the meeting with question: staff assistance from the Society office in Providenc.e. Some Special Sessions arise from an invitation to Far Western Section (Pacific and Mountain) a proposed organizer issued through the Associate Hugo Rossi, Associate Secretary Secretary. Others are spontaneously proposed by Department of Mathematics interested organizers or participants. Such proposals University of Utah are welcomed by the Associate Secretaries. Salt Lake City, UT 84112 The number of Special Sessions at a Summer or (Telephone 801-581-8159) Annual Meeting is limited to twelve. Proposals, Central Section invited or offered, whic.h are received at least Paul T. Bateman, Associate Secretary nine months prior to the meeting are screened for Department of Mathematics suitability of the topic. and of the proposed list University of Illinois of speakers, and for possible overlap or conflict Urbana, IL 61801 with other proposals (specific deadlines for requesting (Telephone 217 -333-4996) approval for Special Sessions at national meetings are given above). If necessary, the numerical limitation Eastern Section is enforced. W. Wistar Comfort, Associate Secretary Proposals for Special Sessions should be submitted Department of Mathematics directly to the Associate Secretary in charge of the Wesleyan University meeting (at the address given in the accompanying Middletown, CT 06457 box). If such proposals are sent to the Providence (Telephone 203-347-9411) office, addressed to the Notices, or directed to anyone Southeastern Section other than the Associate Secretary, they will have Frank T. Birtel, Associate Secretary to be forwarded and may not be received before the Department of Mathematics quota is filled. Tulane University In accordance with an action of the Executive New Orleans, LA 70118 Committee of the Council, no Special Session may (Telephone 504-865-5646) be arranged so late that it may not be announced in As a general rule, members who anticipate the Notices early enough to allow any member of the organizing Special Sessions at AMS meetings are Society, who wishes to do so, to submit an abstract advised to seek approval at least nine months for consideration for presentation in the Special prior to the scheduled date of the meeting. No Session before the deadline for such consideration. Special Sessions can be approved too late to provide Special Sessions are effective at sectional meetings adequate advance notice to members who wish to and can usually be accommodated. They are arranged participate. by the Associate Secretary under the supervision of the Committee to Select Hour Speakers for the Abstracts of papers submitted for consideration for section. The limitation on the number of sessions presentation at a Special Session must be received depends on the space and time available. The same by the Providence office (Editorial Department, restriction as for national meetings applies to the American Mathematical Society, Post Office Box deadline for announcing Special Sessions at sectional 6248, Providence, RI 02940) by the special deadline meetings: no Special Session may be approved too for Special Sessions, which is usually three weeks late for its announcement to appear in time to earlier than the deadline for contributed papers for allow a reasonable interval for members to prepare the same meeting. The Council has decreed that no and submit their abstracts prior to the special early paper, whether invited or contributed, may be listed deadline set for consideration of papers for Special in the program of a meeting of the Society unless an Sessions. abstract of the paper has been received in Providence prior to the deadline. Information for Speakers A great many of the papers presented in Special Sessions at meetings of the Society are invited papers, but any member of the Society who wishes to do so may submit an abstract for consideration for presentation in a Special Session, provided it is received in Providence prior to the special early deadline announced above and in the announcements of the meeting at which the Special Session has been scheduled.

204 Special Meetings

TillS SECTION contains announcements of meetings of interest to some segment of the mathematical public, including ad hoc, local, or regional meetings, and meetings or symposia devoted to specialized topics, as well as announcements of regularly scheduled meetings of national or international mathematical organizations. (Information on meetings of the Society, and on meetings sponsored by the Society, will be found inside the front cover.) AN ANNOUNCEMENT will be published in the Notices if it contains a call for papers, and specifies the place, date, subject (when applicable), and the speakers; a second full announcement will be published only if there are changes or necessary additional information. Once an 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 issue in which the complete information appeared. IN GENERAL, announcements of meetings held in North America carry only date, title of meeting, place of meeting, names of speakers (or sometimes a general statement on the program), deadline dates for abstracts or contributed papers, and source of further information. Meetings held outside the North American area may carry more detailed information. All communications on special meetings should be sent to the Editor of the Notices, care of the American Mathematical Society in Providence. DEADLINES are listed on the inside front cover of each issue. In order to allow participants to arrange their travel plans, organizers of meetings are urged to submit information for these listings early enough to allow them to appear in more than one issue of the Notices prior to the meeting in question. To achieve this, listings should be received in Providence SIX MONTHS prior to the scheduled date of the meeting.

1982-1983. Special Year in Lie Group Representations, Information: J. A. Yorke, Molecular Physics Building, University of Maryland, College Park, Maryland. (June University of Maryland, College Park, Maryland 20742. 1982, p. 373) 21-23. Second ACM SIGACT-SIGMON Symposium on July 1, 1982-September 1, 1983. Special Year in Math­ Principles of Database Systems, Atlanta, Georgia. (October ematics Related to Energy, University of Wyoming, 1982, p. 589) Laramie, Wyoming. (October 1982, p. 588) September 1, 1982-August 31, 1983. Statistical and 21-25. Conference on Computational Complexity Theory, Continuum Approaches to Phase Transition, Institute Santa Barbara, California. (January 1983, p. 77) for Mathematics and its Applications, University of 21-26. UAB International Conference on Differential Equa­ Minnesota, Minneapolis, Minnesota. (January 1982, p. 74) tions, University of Alabama in Birmingham, Birmingham, October 31, 1982-0ctober 1, 1983. Mathematisches Forsch­ Alabama. (October 1982, p. 589) ungsinstitut Oberwolfach (Weekly Conferences), Federal Republic of Germany. (November 1982, p. 698) 21-26. Workshop on Orienting Polymers, Institute for Mathematics and its Applications, , 1983-1984. Academic Year Devoted to Problems on Minneapolis, Minnesota. Iteration in Classical Real and Complex Analysis, The Mittag-Leffler Institute, Djursholm, . Speakers: Speakers will include Bernard Coleman Program: The above topic will be covered, along with (Carnegie-Mellon University), Jerald L. Ericksen (University of Minnesota), Richard James (Brown related problems in the theory of quasiconformal mappings and Kleinian groups. University and IMA), Chris Macosko (University of Minnesota), Marshall Slemrod (Rensselaer Polytechnic Deadline for Applications: April 1, 1983. Institute and IMA), Matthew Tirrell (University of Information: Lennart Carleson or Peter Jones, Institut Minnesota), and Kurt Wissbrun (Celanese Corporation). Mittag-Leffler, The Royal Swedish Academy of Sciences, Auravii.gen 17, S-182 62 Djursholm, Sweden. Information: Susan Anderson, Institute for Mathematics and its Applications, University of Minnesota, 514 1983. Special Year in Commutative Algebra and Al­ Vincent Hall, 206 Church Street S.E., Minneapolis, gebraic Geometry, University of Illinois, Urbana, Illinois. Minnesota 55455. (November 1982, p. 699) 24-26. Numerical Analysis of Parametrized Nonlinear MARCH 1983 Equations, University of Arkansas, Fayetteville, Arkansas. (January 1983, p. 77) 10-12. John H. Barrett Memorial Lectures in Function Theory, University of Tennessee, Knoxville, Tennessee. 28-31. Fourteenth Annual Iranian Mathematics Con­ (November 1982, p. 699) ference, Tabriz University, Tabriz, Iran. Information: Organization Committee, Department of 13-18. Conference on Geometry, University of Haifa, Israel. (January 1983, p. 77) Mathematics, Tabriz University, Tabriz, Iran. 16-18. Conference on Chaotic Dynamics, College Park, Maryland. APRIL 1983 Invited Speakers: M. Barnsley, Doyne Farmer, , Joe Ford, Michael Gorman, Cleso Grebogi, John Guckenheimer, Philip Holmes, A. Lasota, Edward 5-9. Thirty-fifth British Mathematical Colloquium, Univer­ Lorenz, John Mallet-Paret, Edward Ott, S. Pelikan, sity of Aberdeen, Scotland, United Kingdom. (October Robert Heileman, Scott Shenker, , 1982, p. 589) M. Widom, Bob Williams, James Yorke, Lai-Sang 8-9. lllinois Number Theory Conference, Illinois State Young. University, Normal, Illinois. (January 1983, p. 78) Program: Lectures will be on chaotic behavior in nonlinear dynamics. Half the speakers will be mathematicians, 11-14. IEEE Southeastcon '83, Orlando, Florida. and half physical scientists. (November 1982, p. 700)

205 11-15. Tutorial Conference on Neural Modeling, Carefree, MAY 1983 Arizona. Principal Speaker: Stephen Grossberg, Center for Adaptive 9-11. Conference on Simulation in Engineering Sciences, Systems, Boston University. Nantes, France. Organizer: International Association for Mathematics and Information: Peter R. Killeen, Department of Psychology, Computers in Simulation. Arizona State University, Tempe, Arizona 85287, 602- 965-7156. Information: A.F.C.E.T. IMACS Symposium 1983, 156 Boulevard Pereire, 75017 Paris, France. 15--16. Seventh Conference on Undergraduate Mathe­ 11-13. Optimization Days 1983, Ecole Polytechnique, matics, Oklahoma State University, Stillwater, Oklahoma. Montreal, Canada. (October 1982, p. 589) (January 1983, p. 78) 12-14. Colloquium on the 200th Anniversary of the Death Invited Speakers: George Piranian (University of Michigan), of Leonhard Euler, Technical University of Berlin, Federal C. H. Edwards, Jr. (University of Georgia), Lynn 0. Republic of Germany. (November 1982, p. 700) Wilson (Bell Laboratories), (University of New Mexico). 16-18. Conference on Inverse Scattering: Theory and Call for Papers: Papers are solicited from undergraduate Applications, Tulsa, Oklahoma. students. These may be based on seminars, advanced un­ Program: In addition to a sequence of lectures to be dergraduate courses, honors projects, or undergraduate presented by Roger Newton, lectures by invited speakers research. Students should submit an abstract before on inverse scattering will be presented. Applications of March 15, 1983. inverse scattering methods to seismic inversion will be considered. Informp,twn and Abstracts: James Choike, Department of Information: Richard Redner, Division of Mathematical Mathematics, Oklahoma State University, Stillwater, Sciences, University of Tulsa, 600 South College, Tulsa, Oklahoma 74078. Oklahoma 74104. 18-20. Second Annual Westem States Mathematical 16-18. Fifth Symposium on Mathematical Programming Physics Meeting, California Institute of Technology, with Data Perturbations, George Washington University, Pasadena, California. Washington, D.C. (January 1983, p. 78) Program: Approximately ten 50-minute talks and ten 25- 16-20. Twenty-seventh Annual Meeting of the Australian minute talks, all at invitation of program committee. Mathematical Society, The University of Queensland, There will be a poster session for contributed items. Brisbane, Australia. Confirmed speakers are V. Enss, M. Kac, H. Kitada. Program: Sessions will consist of invited and contributed Organizing Committee: T. Harris (University of Southern talks. California), R. Phillips (Stanford), L. Rosen (University Information: i<:. R. Matthews, Department of Mathematics, of British Columbia), B. Simon (California Institute of The University of Queensland, St. Lucia, Queensland Technology), C. Wilcox (University of Utah). 4067, Australia. Support: Participants, including speakers, must find their 17-19. Conference on Large Seale Scientific Computation, own. Mathematics Research Center, University of Wisconsin, Information: Ms. J. Yap, 253-37, California Institute of Madison, Wisconsin. Technology, Pasadena, California 91125. Program: There will be thirteen to fifteen invited lectures. Speakers: Invited speakers include William Ballhaus, Victor 19-21. IEEE Infocom 83: Second Annual Joint Conference L. Peterson, Joel E. Dendy, Jr., Bjorn Engquist, Roland of the IEEE Computer and Communications Societies, San Glowinski, James M. Hyman, Akira Kasahara, Dennis Diego, California. (October 1982, p. 589) Liles, Robert W. MacCormack, C. Wayne Mastin, Edwin E. Neitzel, Robert E. Smith, Paul Swarztrauber, 21-22. Fourteenth Annual Modeling and Simulation Con­ and Robert Voigt. ference, University of Pittsburgh, Pittsburgh, Pennsyl­ Organizing Committee: Carl de Boor, James M. Hyman, vania. (October 1982, p. 589) Seymour V. Parter (chairman), and John C. Strikwerda. 25-27. Fifteenth ACM Symposium on Theory of Comput­ Information: Mrs. Gladys Moran, Conference Secretary, ing, Boston, Massachusetts. (October 1982, p. 589) Mathematics Research Center, University of Wisconsin, 610 Walnut Street, Madison, Wisconsin 53705. 26-May 20. Ecole de Printemps: Les methodes en theorie 20-21. Fifth Nestor M. Riviere Memorial Lecture, de bifurcation locale, Nice, France. University of Minnesota, Minneapolis, Minnesota (Date Information: Centre internationale mathematiques pures et subject to change.) appliquees, 1 ave. Edith Cavell, 06000 Nice, France. Speaker: Haim Brezis. Program: Lecture on Friday afternoon; informal session of 28-30. Conference on Number Theory, University of 20-minute talks on Saturday. Alberta, Edmonton, Canada. Information: Persons who wish to attend or speak please Speakers: H. Abbott, K. Alladi, D. W. Boyd, John Brillhart, write to E. B. Fabes, School of Mathematics, 127 D. Bressoud, M. S. Cheema, Jean-Marie De Koninck, Vincent Hall, University of Minnesota, 206 Church Paul Erdos, J. Fabrykowski, J. Friedlander, Richard Street S.E., Minneapolis, Minnesota 55455. Guy, V. C. Harris, M. Ismail, M. S. Klamkin, David 20-21. Meeting on Partial Differential Equations, Brighton, Klamer, D. H. Lehmer, Emma Lehmer, Philip A. Great Britain. Leonard, A. Liu, Armel Mercier, C. Pomerance, K. Information: David Eric Edmunds, School of Mathematics Nageswara Rao, V. V. Rao, Bruce Richmond, D. Sato, and Physical Sciences, University of Sussex, Falmer, John Selfridge, R. A. Smith, Cameron Stewart, Hugh Brighton, BN1 9QH, Great Britain. C. Williams, Kenneth Williams, and H. Zassenhaus. 22-29. Third International Conference on Functional­ Information: M. V. Subbarao, Department of Mathematics, Differential Systems and Related Topics, Blazejewko, University of Alberta, Edmonton, Alberta, Canada T6G Poland. (November 1982, p. 700) 2Gl. 23-25. Eighteenth New Zealand Mathematics Colloquium, 30-May 1. Conference on Differential Geometry, Purdue Massey University, Palmerstown North, New Zealand. University, West Lafayette, Indiana. (January 1983, p. 78) (October 1982, p. 589)

206 24-25. Journees de Ia recherche operationnelle, Saint­ 13-16. Tenth International Symposium on Computer Etienne, France. Architecture, , Sweden. (October 1982, p. 590) Information: M. Bougeard, Universite Saint-Etienne, 23 13-17. 1983 Mathematical Sciences Lecture Series, Depart­ rue Docteur P. Michelon, 42100 Saint-Etienne, France. ment of Mathematical Sciences, Johns Hopkins University, 24-27. Journees de statistique, Lyon, France. Baltimore, Maryland. Information: Jourm)es de Statistique, Departement Principal Lecturer: Peter J. Bickel, University of California, Mathematique, Universite C. Bernard, 43 boulevard Berkeley. 11 novembre 1918, 69622 Villeurbanne Cedex, France. Program: Professor Bickel will deliver ten research-level lectures on adaptive statistical inference. Additional 24-June 12. First Southeast Asian Colloquium on Graph speakers will present complementary material. There Theory, National University of Singapore. (November will also be small group discussions. 1982, p. 700) Sponsors: Johns Hopkins University Press, Office of Naval 30-June 3. International Colloquium in Honor of Research. Laurent Schwart•, Ecole Polytechnique, Palaiseau, France. Information: Robert J. Serfling, Department of Mathemati­ (November 1982, p. 700) cal Sciences, The Johns Hopkins University, Baltimore, Maryland 21218, 301-338-7200. JUNE 1983 13-17. Microcomputer Graphics, Salisbury State College, Salisbury, Maryland. 6-8. 1983 National Educational Computing Conference Principal Lecturer: G. J. Porter, University of Pennsylvania. (NECC 83), Baltimore Convention Center, Baltimore, Sponsor: MD-DC-VA Section of the MAA. Maryland. (January 1983, p. 78) Purpose: To make available to teachers in two- and Principal Speaker: David H. Ahl (Editor-in-chief, Creative four-year colleges important topics in applicable mathe­ Computing). matics. Information and Registration: Doris Lidtke, NECC 83 Information: B. A. Fusaro, Department of Mathematical Annual Chairman, Department of Mathematics and Sciences, Salisbury State College, Salisbury, Maryland Computer Science, Towson State University, Baltimore, 21801, 301-543-6465. Maryland 21204, 301-321-2981. 16-18. Short Course on Factoring and Primality Testing, 6-8. SIAM 1983 National Meeting, Denver Marriott Hotel­ Kent State University, Kent, Ohio. (January 1983, p. 79) City Center, Denver, Colorado. (January 1983, p. 78) 20-24. Linear Algebra & the Microcomputer, Salisbury 6-16. Eighth International Conference on Operator State College, Salisbury, Maryland. Theory, Timisoara, Romania. Principal Lecturer: Gareth Williams. Stetson University, Information: Eighth Operator Theory Conference, Depart­ Florida. ment of Mathematics, INCREST, 220 boulevard Pacii, Sponsor: MD-DC-VA Section of the MAA. R-79622 Bucharest, Romania. Purpose: To make available to teachers in two- and 7-16. International Conference on Multifunction• and four-year colleges important topics in applicable mathe­ Integrands: Stochastic Analysis, Approximation and matics. Optimi•ation, University of Catania, Italy. Information: B. A. Fusaro, Department of Mathematical Speakers: Tutorial lectures by R. T. Rockafellar and R. Sciences, Salisbury State College, Salisbury, Maryland Wets. Invited speakers include V. Arkin, Z. Artstein, 21801, 301-543-6465. H. Attouch, J. P. Aubin, C. Castaing, A. Cellina, N. 20-24. 1983 International Symposium on the Mathematical Cressie, E. De Giorgi, I. Evstigneev, F. Hiai, H. Ioffe, T. Theory of Networks and Systems, Ben Gurion University Kurtz, H. Langen, A. Marino, G. Matheron, C. Olech, of the Negev, Beer Sheva, Israel. (October 1982, p. 590) J. Spingarn, L. Thibault, M. Valadier, W. Vervaat. Information: Multifunctions and Integrands Conference, 21-23. Ninth International Symposium on Machine Seminario Matematico dell' Universita, Viale A. Doria Processing of Remotely Sensed Data, Purdue University, 6, I-95125 Catania, Italy. West Lafayette, Indiana. (January 1983, p. 79) 9-11. Utah State University Conference on Matrix Theory 21-24. Conference in Banach Algebras and Several and Applications, Utah State University, Logan, Utah. Complex Variables (in Honor of Charles Rickart), New Haven, Connecticut. Invited Speakers: David Carlson (Oregon State University); Larry Cummings (University of Waterloo); Charles Program: Approximately eight one-hour addresses and Johnson (University of Maryland); Hans Schneider twenty shorter talks in Banach algebras; operator (University of Wisconsin, Madison); Robert Thompson algebras and function algebras and their interplay with (University of California, Santa Barbara); David Watkins the theory of functions of several complex variables. All (Washington State University). talks are by invitation. Information: Leroy B. Beasley or E. E. Underwood, Information: R. Coifman, Department of Mathematics, Department of Mathematics, Utah State University, Box 2155, Yale Station, New Haven, Connecticut 06520. Logan, Utah 84322. 27-29. ACM IEEE Twentieth Design Automation Con­ 9-12. Conference on the Geometry of Normed Spaces, ference, Miami Beach, Florida. (October 1982, p. 590) University of Illinois Conference Center, Allerton Park, 27-29. SIAM Symposium on the Applications of Discrete Illinois. Mathematics, Massachusetts Institute of Technology, Program: The purpose of the conference is to honor Cambridge, Massachusetts. (October 1982, p. 590) Professor Mahlon M. Day on his retirement. The **27-July 15. Seminaire de Mathematiques Superieures­ conference will center on expositions of topics with NATO Advanced Study Institute on Topological Methods which Professor Day has been closely associated. It in Nonlinear Analysis, Universite de Montreal, Montreal, is expected that proceedings of the conference will be Canada. (January 1983, p. 79) **These dates have been published at a later date. Women and members of changed from those previously announced.** minority groups are particularly invited to attend. Support: University of Illinois; National Science Founda­ 28-30. Thirteenth International Symposium on Fault­ tion. Tolerant Computing, Milan, Italy. (October 1982, p. Information: Day Conference Committee, Department of 590) Mathematics, University of lllinois, 1409 West Green 30-July 10. Durham Symposium on Modular Forms, Grey Street, Urbana, lllinois 61801. College, Durham, Great Britain. (January 1983, p. 79)

207 JULY 1983 11-15. Twelfth Conference on Stochastic Processes and their Applieations, Cornell University, Ithaca, New York. 3-20. Thirteenth Ecole d'Ete de Calcul des Probabilites, (November 1982, p. 700) Saint-Flour, Cantal, France. 11-15. Ninth British Combinatorial Conference, University Invited Speakers: D. A. Aldous (University of California, of Southampton, England. (October 1982, p. 590) Berkeley), I. Ibraguimov (Steklov Institute, Leningrad), J. Jacod (Universite de Rennes I). 11-16. Seventh International Congress of Logic, Methodol­ Information: P. L. Hennequin, Departement de ogy and Philosophy of Science, Salzburg, Austria. (October Mathematiques Appliquees, Universite de Clermont, 1982, p. 590) B. P. 45, 63170 Aubiere, France. Information: Paul Weingartner or Georg Dorn, Institut fiir Philosophie, Universitii.t Salzburg, Franziskanergasse 4-9. Tenth International Conference on General Relativity 1/1, A-5020 Salzburg, Austria. and Gravitation, Fondazione Cini, Isola di San Giorgio, Venice, Italy. (October, 1982, p. 590) 11-22. Quadratic Forms and Hermitian K-theory, McMaster University, Hamilton, Canada. (January 1983, 6-9. Conference on Physieal Mathematics and Nonlinear p. 79) Partial Differential Equations, West Virginia University, Morgantown, West Virginia. (January 1983, p. 79) 11-22. L.M.S.fS.E.R.C. Durham Symposium in Potential Theory, University of Durham and Grey College, Durham, 10-16. International Conference on Quasigroups and their United Kingdom. (October 1982, p. 590) Applieations, Universita Cattolica del Sacra Cuore, Milano, Italy. 12-15. International Conference on the Teaching of Math­ Program: The Conference will feature several one- or ematieal Modelling, Exeter University, Exeter, England. two-hour lectures of an expository nature and 25- or (October 1982, p. 590) 50-minute talks on current research. 18-22. International Conference on Mathematics in Biology Information: H. Pflugfelder, Department of Mathematics, and Medicine, Bari, Italy. (October 1982, p. 590) Temple University, Philadelphia, Pennsylvania 19122. 18-23. Logic Colloquium '83, Technische Hochschule 10-16. Journees Arithmetiques 1983, Noordwijkerhout, Aachen, Aachen, Federal Republic of Germany. The Netherlands. (November 1982, p. 700) Information: Michael M. Richter, Lehrstuhl fi.ir An- 11-15. 'lEX Users Group Meeting and Introductory 'JEX82 gew. Mathematik, insbes. lnformatik der RWTH, Users Course, Stanford University, Palo Alto, California. Templergraben 64, D-5100 Aachen, Federal Republic of Program: An introductory 'IEX82 Users Course for Germany. secretaries and technical typists will be presented by 18-August 12. Workshop on Latin Squares: Their Michael Spivak during the first two days. From July Construction and Applieation, Simon Fraser University, 13 through July 15, there will be a meeting of the British Columbia, Canada. 'lEX users group. The principal topic will be an Invited Speakers: L. D. Andersen (Denmark), R. Haggkvist update on the status of the 'IEX82 typesetting system (Sweden), A. J. W. Hilton (United Kingdom), J. Horton and the system of structured documentation. (Canada), A. D. Keedwell (United Kingdom), C. C. There will also be presentations on: introduction Lindner (USA), K. T. Phelps (USA), A. Rosa (Canada), to 'lEX and TUG for new users; Macro Wizards' D. Stinson (Canada), G. H. J. van Rees (Canada), W. roundtable; site coordinators' progress reports; output D. Wallis (Australia), L. Zhu (China). device manufacturers' representatives; 'IEX82 news; Information: Dr. Katherine Heinrich, Department of questions and answers on 'IEX82; 'IEX82 and WEB user Mathematics, University of South Carolina, Columbia, experiences; and output devices and drivers. South Carolina 29208. After April 90, 1989: Department Information: 'lEX Users Group, c/o American Mathematical of Mathematics, Simon Fraser University, Burnaby, Society, P.O. Box.6248, Providence, Rhode Island 02940, British Columbia, Canada V5A 1S6. 401-272-9500. 19-22. Sixth European Congress on Operational Research 11-15. Twelfth Conference on Stochastic Processes and (EURO VI), Vienna, Austria. their Applieations, Cornell University, Ithaca, New York. Organizing Committee: P. Harhammer, G. Urbanski. Organizer: Committee for Conferences on Stochastic Processes of the Bernoulli Society for Mathematical Information: Secretariat of the Congress, EURO VI, c/o Statistics and Probability. Interconvention, P.O. Box 80, A-1107 Vienna, Austria. Sponsors: Cornell University's Office of Sponsored Re­ 25-29. Sixth International Symposium on Multivariate search, Center for Applied Mathematics, School of Analysis, University of Pittsburgh, Pittsburgh, Pennsyl­ Operations Research and Industrial Engineering, Col­ vania. (OctOber 1982, p. 590) lege of Engineering. Partial funding is expected from Invited Speakers: T. W. Anderson, P. M. Bentler, R. N. the National Science Foundation, U.S. Army Research Bhattacharya, J. Chipman, P. Deheuvels, A. P. Office, U.S. Air Force Office of Scientific Research. Dempster, J. Berger, D. Dey, M. L. Eaton, E. El­ Program: There will be invited papers as well as several Neweihi, F. Proschan, D. A. S. Fraser, J. H. Friedman, sessions of contributed papers. Y. Fujikoshi, R. M. Gray, T. Hida, D. Jonsson, Invited Speakers: E. Cinlar, R. L. Dobrushin, W. H. G. Kallianpur, T. Kariya, S. Karlin, N. L. Johnson, Fleming, M. Friedlin, R. A. Holley, V. Isham, H. S. Kotz, R. J. Muirhead, I. Olkin, M. Perlman, P. C. B. Kaspi, J. H. B. Kemperman, R. P. Kertz, S. Kotani, Phillips, C. R. Rao, A. Rosenfeld, W. Schaafsma, M. J. N. V. Krylov, P. Major, B. Mandelbrot, J. Neveu, K. R. Schervish, P. K. Sen, A. Takemura, W. S. Torgerson, Parthasarathy, E.-L. Porteus, L. Russo, M. Schii.l, R. M. G. S.Watson, and Y. Q. Yin. Serfozo, L. A. Shepp, H. M. Taylor, S. S. R. Varadhan. Deadline for Abstracts: April!, 1983. Contributed Papers: Abstracts should be received by N. U. Information and Abstracts: P. R. Krishnaiah, Center for Prabhu by May 1, 1983. These should be typewritten, Multivariate Analysis, Ninth Floor, Schenley Hall, should not exceed 100 words, and include a list of key University of Pittsburgh, Pittsburgh, Pennsylvania words and a short title. 15260, 412-624-5814. Information: N. U. Prabhu, Center for Applied Mathe­ 25-August 2. Seminar on the History of Mathematics, matics, Cornell University, 275 Olin Hall, Ithaca, New University of Toronto, Toronto, Canada. York 14853, 607-256-4856. Sponsor: International Commission on the History of 11-15. Symposium on Large Scale Systems Theory and· Mathematics; Institute for the History and Philosophy Applieations, Warsaw, Poland. (January 1983, p. 79) of Science and Technology, University of Toronto.

208 Program: There will be presentations by leading scholars 21-27. International Conference on Foundations of Com­ on topics ranging from Greek to twentieth century putation Theory, Linki:iping, Sweden. mathematics. Topics: Constructive mathematics in models of computa­ Information: History of Mathematics Summer Seminar, tion and programming; abstract calculi and denotational Institute for the History and Philosophy of Science and semantics; theory of machines, computations, and lan­ Technology, University of Toronto, Toronto, Canada guages; nondeterminism, concurrency, and distributed M5S 1K7, 416-978-7391. computing; abstract algebras, , and combinatorics in computation theory; general computability and Seventh International Conference on Near­ 31-August 6. decidability; computational and arithmetic complexity; Near-Fields, James Madison University, Har­ Rings and and feasible computing. risonburg, Virginia. (January 1983, p. 80) Organizing Committee: E. Sandewall (chairman), A. Lingas, J. Maluszynski. AUGUST 1983 Information: Foundations of Computation Theory 1983, Department of Mathematics, Linki:iping University, S- 1- 10. Seventh International Congress on Mathematical 581 83 Linkoping, Sweden. Physics, University of Colorado, Boulder, Colorado. Conference on Structural Sponsors: The University of Colorado, the International 22-26. Seventh International Marriott Hotel. Association of Mathematical Physics, the University of Mechanics in Reactor Technology, Denver, the International Mathematical Union, and the Chicago, Illinois. (October 1982, p. 591) International Union of Pure and Applied Physics, with 22-26. Universal Algebra, J6zsef Attila University. Szeged, financial support from the National Science Foundation. Hungary. (October 1982, p. 591) Program: There will be sessions on mathematical methods, computational methods, classical dynamics, quantum 22-27. Tenth International Congress on Cybernetics, dynamics, equilibrium statistical mechanics and con­ Namur, Belgium. (October 1982, p.591) densed matter, non-equilibrium statistical mechanics and irreversible processes, quantum field theory and 26-29. Polish Symposium on Interval and Fuzzy Mathe­ particles, classical field theory and relativity, supersym­ matics, Poznan, Poland. metry and super-gravity. Program: The symposium will focus on theory, applications Speakers: T. Balaban, H. J. Borchers, D. Bridges, and numerical aspects of interval and fuzzy mathematics. V. S. Buslaev, J. P. Eckmann, V. Enss, M. Fisher, There will be invited lectures and short (15-minute) G. Gallavotti, J. Ginibre, T. Hida, G. Parisi, R. Temam, communications. E. Trubowitz, S. Varadhan, and C. N. Yang. Deadline for Participation: March 30, 1983. Information: Walter Wyss, Executive Secretary, lAMP 1983 Congress, Department of Physics, Campus Box Information: Polish Symposium on Interval and Fuzzy 390, University of Colorado, Boulder, Colorado 80309. Mathematics, Institute of Mathematics, Technical University of Poznan, ul. Piotrowo 3a, 60-965 Poznm\, 1-14. Workshop and Conference in Algebraic Topol­ Poland. ogy, Memorial University, Saint John's, Newfoundland. (November 1982, p. 701) 26-31. Conference on Combinatorial Groups, Busan National University, Busan, Korea. (November 1982, 15-17. Symposium on Numerical Analysis and Com­ p. 701) putational Complex Analysis, Swiss Federal Institute of Technology (ETH), Zurich, Switzerland. 29-31. Conference to Honor the Sixtieth Birthday of J. B. Program: This symposium is dedicated to Peter Henrici on Keller, Northwestern University, Evanston, Illinois. the occasion of his 60th birthday. Its intention is to Speakers: G. F. Carrier, D. S. Cohen, J. D. Cole, L. N. present recent developments in the fields of numerical Howard, M. Kac, H. B. Keller, J. B. Keller, M. D. mathematics and applied and computational complex Kruskal, D. A. Ludwig, B. J. Matkowsky, G. C. analysis. There will be one-hour invited talks and Papanieolaou, E. L. Reiss, E. A. Spiegel, G. B. 20-minute contributed talks. Whitham, and A. Whittemore. Invited Speakers: D. Gaier, W. Gautschi, W. B. Gragg, W. Liniger, G. W. Stewart, and V. Strassen. Information: Judy Piehl, Department of Engineering Sciences and Applied Mathematics. Northwestern June 15, 1983. Deadline for Abstracts: University, Evanston. Illinois 60201. Information: Conference Office, Seminar fiir Angewandte Mathematik, ETH-Zentrum, CH-8092 Zurich, Switzer­ land. SEPTEMBER 1983 15-17. Fourth International Conference on Mathematical Modelling, Zurich, Switzerland. (October 1982, p. 591) 21-23. George D. Aiken Lecture Series: Technical Sym­ 15-19. Colloquium on Topology, Eger, Hungary. posium on Acid Rain Transport and Transformation Information: J. Gerlits, Janos Bolyai Mathematical Society, Phenomenon, University of Vermont, Burlington, Vermont. 1-3 Anker ki:iz, H-1061 Budapest, Hungary. Topics: Atmospheric transport; contaminant transforma- 16-24. International Congress of Mathematicians, Warsaw, tions in atmospheric and aquatic systems; and eon­ Poland. taminant transport in aquatic systems. Invited One-Hour Plenary Addresses: V. I. Arnold, P. Erdos, Deadline for Abstracts: May 1, 1983. Fleming, C. Hooley, Wu-Chung Hsiang, P. D. W. H. Information and Abstracts: E. Alan Cassell, School of Maslov, B. Mazur, R. D. MacPherson, Lax, V. P. Natural Resources, 335 Aiken Center, University of Shelah, A. Pelczyftski, M. Rabin, D. Ruelle, M. Sato, S. Vermont, Burlington, Vermont 05405, 802-656-4280. Yum-Tong Siu, and R. Thorn. Deadline for Registration: May 31, 1983. 25-0ctober 2. International Conference on Operator Information: Organizing Committee, ICM-82, Institute Algebras, Ideals and their Applications in Theoretical of Mathematics of the Polish Academy of Sciences, Physics, Naturwissenschaftlich-Theoretischen Zentrum, Sniadeckich 8, P.O. Box 137, 00-950 Warsaw, Poland. Karl Marx University, Leipzig, German Democratic See announcement in this issue of the Notices. Republic. (January 1983, p. 80)

209 OCTOBER 1983 24-26. 1983 Annual Conference of Association for Computing Machinery, Sheraton Centre Hotel, New York, New York. Program: The conference will focus on computing theory and computing practices, with special emphasis on personal computing. It will also feature the Fourth AMS SHORT COURSE SERIES International Computer Chess Championships and an Proceedings of Symposia in Applied Mathematics exhibit of the latest computer hardware and software and technical publications. OPERATIONS RESEARCH: MATHEMATICS Topics: CAD/CAM, financial and statistical applica­ tions, computer graphics, office automation, simula­ AND MODELS tion, electronic funds transfer, security and computer edited by Saul I. Gass architecture. As part of its educational activities, the American Information: Thomas A. D'Auria, Assistant Commissioner, Mathematical Society sponsors special topic short City of New York, Computer Service Center, 111 Eighth courses for the attendees of its national meetings. This Avenue, 11th Floor, New York, New York 10011, volume contains the revised lecture notes for the 212-620-5055. short course Operations Research: Mathematics and Models given on August 19-20, 1979 at the 83rd NOVEMBER 1983 summer meeting held in Duluth, Minnesota. These 7-9. Twenty-fourth Annual IEEE Symposium on Founda­ lectures emphasized specific areas of operations re­ tions of Computer Science, Tucson Marriott Hotel, Tucson, search and the mathematics used in modeling and Arizona. solving the related problems. The topics and lecturers Call for Papers: Papers presenting original research on were: theoretical aspects of computer science are being sought. 1. Mathematical modeling of military conflict situa­ Possible topics include: algorithms and data structures; computability and complexity theory; correctness of tions, Seth Bonder, Vector Research, Inc. programs; theory of data bases; theory of formal 2. Queueing networks, Ralph L Disney, Virginia languages and automata; theory of logical design, Polytechnic Institute and State University. layout and VLSI; models of computation; and semantics 3. Practical aspects of fishery management modeling, of programming languages. Authors should express Frederick C. Johnson, National Bureau of Stan­ preference for short (10-15 minute) or long (20-25 dards. minute) presentations. An award of up to $400 will be 4. Mathematical modeling of health care delivery sys­ presented to the best paper written by a student. tems, William P. Pierskalla, University of Pennsyl­ Deadline for Abstracts: Ten copies of a detailed abstract vania. (up to 2500 words) should be submitted by May 9, 1983, 5. Operations research: Applications in agriculture, to the address below. Robert B. Rovinsky, U.S. Department of Agricul­ Information: Lawrence Snyder, Program Committee Chair­ ture. man, Department of Computer Sciences, Mathematical Sciences Building, Purdue University, West Lafayette, 6. Mathematical modeling applied to the relocation Indiana 4 7907. of fire companies, Warren E. Walker, The Rand Corporation. 10-13. American Mathematical Association of Two-Year Colleges Annual Convention, Court of Flags Hotel, Each lecturer attempted to make his presentation Orlando, Florida. self-contained in terms of defining the application Program Deadline: April 15, 1983. areas and mathematics employed. The reader of the Information: Bill Jordan, AMATYC Convention Chairman, resulting notes will find that the authors, in their Seminole Community College, Sanford, Florida 327.71, desire to broaden the usefu I ness of the published 305-323-1450. material, have, in some instances, stretched the mean· 24-27. Internationar Congress on Computational and ing of self-contained. Thus, the reader might find Applied Mathematics, University of Leuven, Belgium. that a bit of perseverance, coupled with dipping into Program: The congress will concentrate on the analysis some subsidiary references, is required to obtain the of computational techniques for solving real scientific full benefits of the written discussions. However, problems. There will be sections on constructive even the casual reader will be able to ascertain how techniques for solving ordinary and partial differential the field of operations research has contributed to equations; computational complex analysis; numerical the resolution of important decision problems-and quadrature and integral equations; numerical software; how the field of applied mathematics has flourished and computational techniques in operations research and statistics. in the guise of operations research. Invited Speakers: (Tentative). A. Axelsson (Netherlands); C. 1980 Mathematics SubJect Classification: 90-01 Brezinski (France); J. Cullum (USA); C. de Boor (USA); Volume 25, viii+ 198 pages W. Gautschi (usA), C. Gear (USA); W. Gragg (USA); P. List price $11, institutional member $8, Henrici (Switzerland); R. Je!tsch (Germany); J. Lyness all individuals $6 (USA); M. Mori (Japan); M. Neuts (USA); I. Sloan ISBN 0·8218-0029·9; LC 81-10849 Publication date: September 1981 (Australia); and P. Vander Houwen (Netherlands). To orcler, please specify PSAPMI25N (soft cover} Deadline for Abstracts: December 1, 1983. Information: F. Broeckx, University of Antwerp (RUGA), Faculteit Toegepaste Economische Wetenschappen, Mid­ delheimlaan 1, B-2020 Antwerpen, Belgium. Prepayment is required for all AMS publications. AUGUST 1984 Order from AMS, PO Box 1571, Annex Station, August 1984. Fifth International Congress on Mathematics Providence, Rl 02901, or call 800-556-7774 Education, University of Adelaide, Australia. (June 1982, to charge with VISA or MasterCard. pp. 331, 376)

210 New AMS Publications

AMS Book Orders-Toll Free Number For Users of VISA, MasterCard. Individuals in the continental United States may order books published by the Society by calling 800-556-7774 and using a charge card. The number will be attended from 8:00 a.m. to 4:15 p.m. Eastern Time, Monday through Friday except on holidays. When using a charge card for mail orders, please be sure to specify whether VISA or MasterCard and include the account number, expiration date, and signature. Order from AMS, P. 0. Box 1571, Annex Station, Providence, Rl 02901. A reminder: the individual member rate applies to the purchase of one copy of any book for personal use, and is not an alternative means of lowering costs for libraries.

CONTEMPORARY MATHEMATICS Contents (ISSN 0271-4132) 0. Introduction I. Galois theory for infinite extensions II. Projective limits Advanced Analytic Number Theory Ill. Elementary theory of /-adic integration Part 1: Ramification Theoretic Methods IV. Ramification theory Carlos J. Moreno V. Multiplicative versus additive reduction VI. Ramification of abelian extensions ABSTRACT VII. The Weil groups of a local field The book presents in a coherent way all the ram­ VIII. Shafarevitch's theorem ification results from local fields which are necessary IX. The Herbrand distribution for an understanding of the new developments in 1980 Mathematics Subject Classifications: 10D15, 12A65, advanced analytic number theory. 12810, 12825, 12827, 14G10, 10H99 Chapter Ill gives an elementary introduction to Contemporary Mathematics /-adic Haar measures, a topic which has gained much Volume 15, viii+ 192 pages (soft cover) importance in recent years due to the work of Mazur List ~rice $18, institutional member $14, and others. individual member $9 ISBN 0-8218-5015-6; LC 82-22620 Chapters I, II, IV, V and VI are basic and could Publication date: January 1983 very well serve as an introduction to local class field To order, please specify CONM/1 SN theory. Chapter VII gives a detailed discussion of the rela­ Complex Representations of G L(2, K) tive Weil group; it includes a proof of Grothendieck's for Finite Fields K local monodromy theorem which is the essential in­ llya Piatetski-Shapiro gredient in the construction of the Weii-Deligne group. The chapter ends with the precise statement This book is composed from lecture notes of a of the conjectural non-abelian local reciprocity law. course given at Tel-Aviv University by Professor After some preparations in chapter VIII, chapter Piatetski-Shapiro, who holds the Cissie and Aaron IX presents a detailed study of the Herbrand distri­ Beare Chair in Algebra and Number Theory at that bution which serves as a suitable substitute for the institution. They were prepared for publication by Artin and Swan representations when dealing with Moshe jarden. conductor questions. The point of view is that of Contents harmonic analysis and /-adic valued distributions. The 1. Preliminaries: Representation theory; the general main goal of the chapter has been to prepare the linear group. (1) Linear representations of finite way for the development of the so-called "general­ groups, (2) Induced representations, (3) The Schur ized explicit formulas of number theory" associated algebra, (4) The group GL(2, K), (5) The conju­ to the L-functions of automorphic representations gacy classes of GL (2, K). and algebraic varieties over number fields. 2. The representations of GL(2, K). (6) The repre­ An introductory chapter outlines some of the sentations of P, (7) The representations of B, (8) most significant discoveries in algebraic number the­ Inducing characters from 8 toG, (9) The Schur ory dealing with the phenomenon of ramification, algebra of I nd~~. (1 0) The dimension of cusp ida I notably the introduction by Hilbert of the higher representations, (11} The description of GL (2, K) ramification groups and the generalization to infinite by generators and relations, (12) Non-decomposable extensions by Herbrand. The same chapter also gives characters of L x, (13) Assigning cuspidal represen­ an introduction to the powerful technique of the tations to non-decomposable characters, (14) The "explicit formulas" which leads to some far reaching correspondence between v and Pv, (15) The small generalizations of the known prime number theorems. Weil group and the small reciprocity law.

211 3. r-functions and Bessel functions. (16) Whittaker Constructive Continuity models, (17) The r-function of a representation, Mark Mandelkern (18) Determination of p by r , (19) The Bessel function of a representation, (20) A computation There arc two long-outstanding constructivity of rp(w) for a non-cuspidal p, (21) A computa­ problems concerning real-valued functions on the tion of rp(w) for a cuspidal p, (22) The characters closed unit interval: Is every function continuous? Is of G. eve;·y continuous function uniformly continuo'Js? This paper determines the numerical content in the 1980 Mathematics Subject Classification: 20G05 method of Urysohn's Lemma, applies this to the Contemporary Mathematics continuity pmblems, obtains a few partial results, and Volume 16, viii + 72 pages (soft cover) List price $13 , institutional member $1 0, provides a basis for further work. individual member $7 Contents ISBN 0-8218-5019-9; LC 82-24484 Part I. Preliminaries Publication date: january 1983 To order, please specify CONMI16N II. Reliefs and continuous functions Ill. Monotone functions IV. Relief functions and the limited continuity principle MEMOIRS OF THE AMS References (ISSN 0065-9266) 1980 Mathematics Subject Classifications: 26A 15; 03 F65, 26A48, 54C30 The Local Structure of Finite Groups Memoirs of the American Mathematical Society of Characteristic 2 type Number 277, vi+ 122 pages (soft cover) List price $9, institutional member $7, Daniel Gorenstein and Richard Lyons individual member $5 ISBN 0-8218-2277-2; LC 82-24358 In this Memoir Gorenstein and Lyons study the Publication date: March 1983 generic finite simple group of characteristic 2 type· To order, please specify MEMOI277N whose proper subgroups arc of known type. Their principal result (the Trichotomy Theorem) asserts AMS TRANSLATIONS, SERIES 2 that such a group has one of three precisely deter­ (ISSN 0065-9290) mined internal structures. (Simple groups with these Twelve Papers in Algebra structures have been classified by several authors.) The proof is completely local-theoretic and, in partic­ Lev. J. Leifman, Editor ular, depends crucially on signalizer functor theory. Contents It also depends on an inordinate number of proper­ B. M. Sa in [Boris M. Schein] Pseudosemilattices and ties of the known finite simple groups. The develop­ pseudolattices ment of some of these properties can be viewed as Hsieh Sheng-kang, On the representation of a large a contribution to the general theory of the known even integer as a sum of a prime and the product groups. of at most three primes Contents V. A. Dem'janenko, The indeterminate equations Part I: Properties of K-groups and Preliminary x6 + y6 = az2, x6 + y6 = az3, x4 + y4 = az4 Lemmas. A. A. Smelev, Algebraic independence of the values 1. Introduction of certain £-functions 2. Decorations of the known simple groups Wang Yuan, On the estimation and applications of 3. Local subgroups of the known simple groups character sums 4. Balance and signalizers I. S. Slavutskii, L-functions of a local field, and a 5. Generational properties of K-groups real quadratic field 6. Factorizations S. A. Ovsienko and A. V. RoTter, Bilinear forms and 7. Miscellaneous general results and lemmas about categories of representations K-groups A. I. Mal' cev, On homomorphisms onto finite groups Appendix by N. Burgoyne A. Ju. Ol'sanskii, On some infinite systems of iden­ Part II: The Trichotomy Theorem tities 1. Odd standard form B. I. Plotkin, Radicals in groups, operations on 2. Signalizer functors and weak proper 2-generated classes of groups, and radical classes p-cores A. I. Sirsov, On certain nonassociative nil rings and 3. Almost strongly p-embedded maximal 2-local algebraic algebras subgroups A. I. Sirsov, On rings with polynomial identities References 1980 Mathematics Subject Classifications: 06A 12, 08A30, 1980 Mathematics Subject Classification: 20005 10B15, and others Memoirs of the American Mathematical Society AMS Translations - Series 2 Number 276, viii + 736 pages (soft cover) Volume 119, iv + 139 pages (soft cover) List price $49, institutional member $37, List price $31, institutional member $23, individual member $25 individual member $16 ISBN 0-8218-2276-4; LC 82-24354 ISBN 0-8218-3074-0; LC 82-24434 Publication date: March 1973 Publication date: january 1983 To order, please specify MEMOI276N To order, please specify TRANS2I119N 212 PROCEEDINGS OF THE REFERENCE WORK STEKLOV INSTITUTE Mathematical Sciences (ISSN 0081-5438) Professional Directory The Geometry of (previously Mathematical Sciences Positive Quadratic Forms Administrative Directory) S. S. Ryskov, Editor This directory, published annually, lists key per­ Contents sonnel-officers and committee members-of over E. P. Baranovskil, The Selling reduction domain of thirty professional mathematical organizations and positive quadratic forms in five variables of a selected group of government agencies, editors N. M. Vetcinkin, Uniqueness of the classes of positive of over 100 journals, over 3,000 heads of academic quadratic forms on which the values of the Her­ departments in the mathematical sciences, and heads mite constants are attained for 6 "( n "( 8 of mathematical units in nonacademic organizations. N. A. Grigor' ev, Regular simplices inscribed in a cube Information includes current addresses (including and Hadamard matrices telephone numbers in many cases), terms of office, I. S. Gucul, On compact three-dimensional manifolds and other pertinent information for the organiza­ of constant negative curvature tions represented. N. V. Zaharova, Centerings of 8-dimensionallattices Mathematical Sciences Professional Directory that preserve a frame of successive minima 1983 Volume, iv + 108 pages (soft cover) M. D. Kovalev, On a characteristic property of the Price $14 disk ISBN 0-8218-0065-5 Z. D. Lomakina, The Varano/ polyhedron II(n) for Publication date: February 1983 To order, please specify ADMDI R/83N n = 5 and maximal finite groups of integral 5 x 5 matrices V. S. Makarov, On a noncompact decomposition of ten-dimensional Lobachevsky space V. S. Makarov and I. S. Gucul, On noncompact three­ dimensional manifolds of constant negative curva­ RECENT REPRINTS ture having finite measure K. P. Makarova, On points of selfintersection of a AN INTRODUCTION TO THE geodesic on a smooth closed surface with a locally ANALYTIC THEORY OF NUMBERS Lobachevsky metric by R. Ayoub S. S. Ryskov and M. m. Kon [M. ]. Cohn] On the Mathematical Surveys, Number 10 theory of the structure of the Minkowski reduc­ 379 pages (ISBN 0-8218-1510-5) tion region 1963; reprinted 1983 (soft cover) S. S. Ryskov, M. List price $32, institutional member $24, m. Kon [M. j. Cohn] and Z. D. individual member $16 Lomakina, Vertices of the symmetrized Minkow­ To order, please specify SURV/10 ski region for n "( 5 S. S. Ryskov and Z. D. Lomakina, Proof of a theo­ THE DECOMPOSITION OF rem on maximal finite groups of integral 5 x 5 WALSH AND matrices by I. I. Hirschman E. G. Horvat [Jeno Horvath) On close lattice packing of unit spheres in the space En Memoirs of the AMS, Number 15 65 pages (ISBN 0-8218-1215-7) S. S. Susbaev, On the Rankin-Sobolev problem on 1955; reprinted 1983 (soft cover) the multidimensional zeta function (estimating the List price $12, institutional member $9, origin of the ray of extremality of the principal individual member $6 perfect form) To order, please specify MEM0/15N 1980 Mathematics Subject Classifications: 05, 10, 51, 52 ALGEBRAIC POTENTIAL THEORY and others by Maynard Arsove and Heinz Leutwiler Proceedings of the Steklov Institute Volume 152, vi + 258 pages (soft cover) Memoirs of the AMS, Number 226 List price $84, institutional member $63, 130 pages (ISBN 0-8218-2226-8) individual member $42 1980; reprinted 1983 (soft cover) ISBN 0-8218-3070-8; LC 82-24328 List price $10, institutional member $8, Publication date: December 1982 individual member $5 To order, please specify STEKL0/152N To order, please specify MEM0/226N

Prepayment is required for all AMS publications. Order from AMS, P.O. Box 1571, Annex Station, Providence, Rl 02901, or call toll free 800-556-7774 to charge with Visa or MasterCard.

213 Miscellaneous

Personal Items Richard H. C. Dieckmann, Professor Emeritus of San Jose State University, died on September 4, 1982 Theodore W. Anderson of Stanford University at the age of 77. He was a member of the society for has been appointed the Wesley C. Mitchell Research 41 years. Professor of Economics at Columbia University for the Kurt Otto Friedrichs, Professor Emeritus of the Fall of 1983. He will participate in the IBM Systems Courant Institute, New York University, died on Research Institute Guest Sabbatical Program in New January 2, 1983 at the age of 81. He was a member York City in the Spring of 1984. of the Society for 46 years. (See the News and Wilfred H. Cockcroft of the New University of Announcements pages in this issue of the Notices.) Ulster, England, retired as Vice-Chancellor in 1982. Hugh J. Hamilton of Claremont, California, died He has been appointed Chairman and Chief Executive on August 16, 1979 at the age of 69. He was a of the Secondary Examinations Council for England member of the Society for 44 years. and Wales and created Knight Bachelor. Alvin Hausner of Teaneck, New Jersey, died on Christopher T. J. Dodson of the University of November 19, 1982 at the age of 52. He was a Lancaster, England, will visit at the University of member of the society for 31 years. Miami and the University of Iowa during April1983. Munawar Hussain of Government College, Lahore, His field of special interest is topology. Pakistan, died on October 11, 1982 at the age of 47. Bruno Forte of the University of Waterloo will He was a member of the Society for 8 years. assume the duties of Chairman of the Department Mark H. Ingraham, Professor Emeritus of the of Applied Mathematics, Faculty of Mathematics, at University of Wisconsin, Madison, died on November that institution, in July 1983. 14, 1982 at the age of 86. He was a member Lee J. Stanley of Dartmouth Cellege has been of the Society for 51 years. (See the News and appointed to an assistant professorship at Lehigh Announcements pages in this issue of the Notices. University. Herbert Jehle, Professor Emeritus of George Susan Szczepanski of the Massachusetts Institute Washington University, died on January 14, 1983 at of Technology has been apponted to an assistant the age of 75. He was a member of the Society for 38 professorship at Lehigh University. years. Charles H. Voas of Yale University has been Dora Evelyn Kearney of Seattle, Washington, appointed to an assistant professorship at Lehigh died on June 26, 1982 at the age of 85. She was a University. member of the Society for 58 years. Richard M. Weiss of Tufts University has Raymond J. Pipino of Baltimore, Maryland, died been appointed Chairman of the Department of on September 4, 1982 at the age of 52. He was a Mathematics (including Computer Science) at that member of the Society for 30 years. university. Richard H. Sady of the University of Tennessee, Knoxville, died on August 16, 1982. He was a Deaths member of the Society for 10 years. Jen-y Sue Townsend of Augusta College died on Hendrik W. Bode, Professor Emeritus of Harvard .July 3, 1982 at the age of 46. She was a member of University, died on June 21, 1982 at the age of 76. the Soc.iety for 11 years. He was a member of the Soc.iety for 51 years.

214 Backlog of Mathematics Research Journals

Backlog. Information on the backlog of papers of the final revision and its publication may be much for research journals, primarily those published in shorter than is the case otherwise, so these figures are North America, is reported to the Providence Office by low to that extent. those editorial boards which elect to participate. The The observations are made from the latest issue figures are an estimate of the number of printed pages published before the deadline for this issue of the which have been accepted, but are in excess of the Notices from journals that have actually been received number required to maintain copy editing and printing by a subscriber in the Providence, Rhode Island, area; schedules. in some cases this may be two months later than Observed Waiting Time. The quartiles give a publication abroad. If the waiting time as defined measure of normal dispersion. They do not include above is not given in the journal, if no new issue has extremes which may be misleading. Waiting times are been received since the last survey, or if the latest issue measured in months from receipt of manuscript in final is for some reason obviously not typical, no times are form to publication of the issue. When a paper is given in this report and such cases are marked NA (not revised, the waiting time between an editor's receipt available or not applicable).

Editor's Estimated Observed Waiting Approximate Time for Paper Time in Latest Number Number Backlog of Submitted Currently Published Issue Issues Pages Printed Pages to be Published (In Months) Journal per Year per Year 12/15/82 5/31/82 (In Months} Q1 M Q3

Acta Informatica 8 960 0 0 7·8 7 10 16 Aequationes Math. 6 640 128 60 12 18 27 33 American J. qf Math. 6 NR NR 868 NR 6 9 12 Annales Sci. Ecole Nor. Sup. 4 600 NR NR NR 12 13 18 Annals of Math. 6 1300 600 800 15 15 15 18 Annals of Probability 4 1100 275 0 15 8 11 14 Annals of Statistics 4 1350 0 20 15 7 7 8 Applicable Analysis 8 800 0 0 6 8 8 9 Appl. Math. & Optimization 8 NR NR 130 NR 6 7 10 Arch. History of Exact Scis. 8 800 0 0 14 10 12 14 Arch. of Rational Mech. Anal. 12 1200 0 0 16 9 14 14 Bull. Soc. Math. France 4 650 NR NR NR 14 17 18 Can ad. J. of Math. 6 1400 100 400 18 14 16 20 Canad. Math. Bulletin 4 512 256 256 16 22 24 25 Comm. in Algebra 22 NR 2069 1800 17 15 15 15 Comm. Math. Physics 20 3040 0 0 5 5 7 8 Comm. Partial Diff. Equations 15 1500 300 * 6-8 8 10 11 Computing 8 768 NR 380 7 9 10 11 Duke Math. J. 4 900 0 0 8 7 7 9 Houston]. of Math. 4 600 300 200 6 22 23 29 Illinois]. of Math. 4 704 1129 1295 24 24 25 26 Indiana Univ. Math. J. 6 960 600 650 20 18 22 23 lnt'l. ]. of Math. & Math. Scis. 4 800 200 200 9 6 8 13 lnventiones Math. 12 2096 NR 0 7 8 9 11 Israel J. of Math. 12 1200 621 500 14 10 13 19 J. Amer. Stat. Assoc. 4 1000 0 0 9 6 7 8 J. Assoc. for Comp. Mach. 4 1000 200 600 15 14 16 18 J. Comp. & Sys. Sci. 6 900 200 0 12 7 10 12 J. Diff. Geometry 4 650 300 350 6 6 7 10 J. Math. Biology 9 1152 NR NR 7 7 8 9 ]. Math. Physics 12 2800 300 0 3-5 9 10 17 J. Math. Sociology 4 350 0 NR 2-3 NA J. Nigerian Math. Soc. 1 100 0 * 12 17 20 23 J. Operator Theory 4 800 400 500 9 12 14 14 ]. Symbolic Logic 4 1300 500 400 15 27 28 35 Linear Algebra & Appl. 7 2100 0 100 12 9 10 12 Linear & Multilinear AI g. 6 540 6 NR 12 16 18 20 manuscripta math. 9 900 0 0 4 4 5 6 Math. Biosciences 10 1600 0 50 6 6 7 10 Mathematical Programming 9 1080 400 475 10 9 10 11 Math. Systems Theory 4 NR NR 120 NR 12 12 13 Math. of Comp. 4 1500 0 0 12 10 11 13 Math. of Operations Research 4 NR NR 389 NR 15 16 17 Math. Annalen 16 2300 0 0 4-6 6 7 10 Math. Zeitschrift 12 1740 0 0 7-8 7 8 9 Memoirs of AMS 6 2600 1350 1200 12 19 20 27

215 Editor's Estimated Observed Waiting Approximate Time for Paper Time in Latest Number Number Backlog of Submitted Currently Published Issue Issues Pages Printed Pages to be Published (In Months) journal per Year per Year 12/15/82 5/31/82 {In Months) Q1 Q2 Q3

Michigan Math. J. 3 384 0 100 3 7 9 16 Monatshefte fur Math. 8 704 30 122 11 10 11 12 Numer. Func. Anal. & Optim. 8 900 150 0 7 5 7 10 Numerische Math. 6 936 0 0 7 5 6 7 Operations Research 6 1200 400 400 14 19 21 24 Pacific J. of Math. 12 3000 NR NR 22 16 28 32 Proceedings of AMS 12 2200 0 0 8·11 8 11 13 Quarterly of Appl. Math. 4 600 0 250 6 12 13 14 Rocky Mtn. ). Math. 4 768 150 250 20 18 19 20 Semigroup Forum 8 NR NR 180 NR 9 9 10 SIAM). Alg. & Disc. Methods 4 560 109 131 12 10 17 18 SIAM ). Appl. Math. 6 1350 451 431 13 14 15 17 SIAM). on Computing 4 800 329 0 14 9 11 21 SIAM ). Control & Optim. 6 850 346 250 13 10 11 20 SIAM ). on Math. Anal. 6 1050 730 375 16 13 14 16 SIAM). on Numer. Anal. 6 1300 116 269 10 11 14 17 SIAM J. on Sci. Stat. Camp. 4 500 333 94 16 12 19 21 SIAM Review 4 560 0 0 10 8 8 9 Stochastics 8 350 0 NR 2·3 NA Topology & Its Appl. 6 660 150 90 12 8 9 10 Transactions of AMS 12 5000 0 200 9-12 13 14 19 Z. Wahrscheinlichkeitstheorie 12 1680 0 0 8-9 7 8 9

NR means no response received. NA means not available or not applicable. *This is a new journal. Backlog information re: 5/31/82 not available.

CONTEMPORARY MATHEMATICS T. J. Rivlin, The optimal recovery of functions {ISSN 0271-4132) N. j. A. Sloane, Recent bounds for codes, sphere packings and related problems obtained by and other methods G. S. Watson, Three aspects of the statistics of PAPERS IN ALGEBRA, directions ANALYSIS AND STATISTICS E. C. Zeeman, Bifurcation and catastrophe theory edited by Rudolf Lid/ Twenty-two of the contributed papers are also in­ The papers collected in this volume are modified cluded in this volume on specialist topics in algebra, versions of invited lectures and some contributed analysis and statistics. specialist session papers presented at the 21st Sum­ One of the main strengths of this book is the mer Research Institute of the Australian Mathemati­ introductory and survey nature of some papers, cal Society held at the University of Tasmania from especially Hirzebruch, Pilz, Rivlin, Sloane, Watson, 12th january until 6th February 1981. Zeeman. Articles of high research value are Curtis The 21st Summer Research Institute covered a and Lehrer, Macdonald, Sloane. The papers by wide range of topics in pure and applied algebra, Delbourgo, Elliott, Mendes-France concentrate on a analysis and statistics. Most of the invited lectures narrower topic than the other invited papers. Some were of a survey nature and each week of the Insti­ papers contain expository work (e.g. Pilz, Rivlin, tute was devoted to different subject areas. Invited Zeeman), but the main emphasis is on surveying a lectures reproduced in this volume are: given topic. C. W. Curtis and G. I. Lehrer, Homology representa­ Individuals might gain an insight into a new tions of finite groups of Lie type field due to the introductory nature of some of the R. Delbourgo, Matrix correlation functions papers. They will also get to know the frontiers of D. Elliott, Some aspects of singular integral equa- current research in some topics. tions-A numerical analyst's viewpoint 1980 Mathematics Subject Classifications: OOA 10; 05-06, F. Hirzebruch, Some examples of algebraic surfaces 14-06,16-06,41-06,62-06,94-06 I. G. Macdonald, Lie groups and combinatorics Volume 9, xvi + 400 pages (soft cover) M. Mendes-France, Paper folding, space-filling curves List price $23, institutional member $17, individual member $12 and Rudin-Shapiro sequences ISBN 0-8218-5009-1; LC 82-1826 G. Pilz, Near-rings: What they are and what they Publication date: April 1982 are good for To order, please specify CONM/9N Prepayment is required for all AMS publications. Order from AMS, P. 0. Box 1571, Annex Station, Providence, Rl 02901, or call toll free 800-556-7774 to charge with Visa or MasterCard.

216 Assistantships and Fellowships in the Mathematical Sciences in 1983-1984 Supplementary List

The entries below supplement the December 1982 Special Issue of the Notices.

The number following "Faculty" is the number of faculty members in the department who are full time employees in the institution and at least half-time in the department; the number following "Published" is the number of those who have published a technical paper or book in the last three years.

Under the DEGREES AWARDED column the following terms have been used: Bachelor's by inst...... Number of bachelor's degrees awarded by the institution Bachelor's by dept...... Number of bachelor's degrees awarded by the department Master's by dept...... Number of master's degrees awarded by the department Ph. D. {79/82} ...... Doctoral degrees awarded during the last three years (1979-1980, 1980-1981 and 1981-1982) Abbreviations used ANT... Algebra or Number Theory S ....Statistics AF A. .. Analysis or Functional Analysis CS ... Computer Science GT .... Geometry or Topology OR ... Operations Research L ..... Logic AM ... Applied Mathematics P ..... Probability ME ... Mathematics Education

Under the SERVICE REQUIRED column, hours per week section, "c" denotes contact hours.

Graduate Study at Universities TYPE OF ASSISTANCE STIPEND FEES SERVICE REQUIRED DEGREES AWARDED (number anticipated paid to student paid by hours type Academic year 1983-1984) dollars months student ($) per wee"- of service 1981-1982

ALABAMA Alabama A&M University, Normal 35762 DEPARTMENT OF MATHEMATICS Applications due: 4/15/83 Bachelor's by inst. 485 Jerry R. Shipman, Chairman Faculty 12; Published 3 Bachelor's by dept. 3 Master's by dept. 2 Teaching Assistantship ( 1) 4200 9 55/cr. 20 Teaching

ARIZONA

Arizona State University, Tempe 85287 DEPARTMENT OF MATHEMATICS Application·' due: 4/1/83 Bachelor's by inst. 4929 Joaquin Bustoz, Chair Faculty 47; Published 29 Bachelor's by dept. 26 Master's by dept. 4 Teaching Assistantship (44) 6600--7100 9 355 20 Teaching Research Assistantship (1) 6600--71 00 9 355 20 Research Ph.D. (79/82) AFA 1, OR 1. Total: 2

CALIFORNIA

California State Polytechnic University, Pomona 91768 DEPARTMENT OF MATHEMATICS Applications due: 6/1/83 Bachelor's by inst. 3000 V. M. Smith, Chair Faculty 37; Published 15 Bachelor's by dept. I 0 Master's by dept. 8 Teaching Assistantship (12) 4851-9702 9 4 *Resident: $440; nonresident: $440, plus $70 per unit.

217 TYPE OF ASSISTAI'IICE STIPEND FEES SERVICE REQUIRED DEGREES AWARDED (number anticip.J.ted paid to student paid by hours type Academic year 1983-1984) dollars months student ($) per week of service 1981-1982

California State University, Fresno 93740 DEPARTMENT OF MATHEMATICS Applications due: 6/30/83 Bachelor's by inst. 2000 Burke Zane, Chairman Faculty 21; Published 10 Bachelor's by dept. 20 Teaching Assistantship (6) 4900-5100 9 300 20 Labs Master's by dept. 5 Graduate Assistantship (4) 4900-5100 9 300 20 Grading Stanford University, Stanford 94305 DEPARTMENT OF OPERATIONS RESEARCH Applications due: 3/1/83 Bachelor's by inst. 1675 Arthur F. Veinott, j r., Chairman Faculty 9; Published 9 Bachelor's by dept. 24 Fellowship (8·10) 4500 9 Master's by dept. 73 Teaching Assistantship (3) 6000 9 15 Grading Ph.D. (79/82) OR 21. Total: 21 Research Assistantship (24) 6000 9 15 Research University of California, Riverside 92521 DEPARTMENT OF MATHEMATICS Applications due: 2/83 Bachelor's by dept. 31 A. R. Stral ka, Chairman Faculty 20; Published 8 Master's by dept. 5 Fellowship (4) 591 /mo. 9 Ph.D. {79/82) ANT 1, AFA 4, Teaching Assistantship (18) 811/mo. 9 1224 10 Teaching, GT 4, P 1, AM 1. Total: 11 grading, research

COLORADO Colorado State University, Fort Collins 80523 DEPARTMENT OF STATISTICS Applications due: 3/15/83 Bachelor's by inst. 2990 James S. Williams, Chairman Faculty 14; Published 14 Bachelor's by dept. 1 Teaching Assistantship (11) 4860-5040 9 1 0·20 Teaching, Master's by dept. 7 grading Ph.D. (79/82) S 5. Total: 5 Research Assistantship (17) 4860-5040 9 1 0·20 Research University of Denver, Denver 80208 DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE Applications due: 2/1/83 Bachelor's by inst. 975 Stanley P. Gudder, Chairman Faculty 21; Published 8 Bachelor's by dept. 23 Teaching Assistantship (4) 4200 9 20 Teaching Master's by dept. 6 Scholarship (6) * Ph.D. (79/82) Other 1. Total: 1 *Tuition waived for specific hours.

CONNECTICUT Yale University, New Haven 06520 DEPARTMENT OF COMPUTER SCIENCE Applications due: 1 /15/83 Bachelor's by inst. 1235 Roger C. Schank, Chairman Faculty 15; Published 15 Bachelor's by dept. 18 Master's by dept. 1 '3 Fellowship (25) 4500-9750 9/12 132 Teaching Fellowship (30·40) 1280-3830 9 20 Ph.D. (79/82) CS 18. Total: 18 Research Assistantship (25·30) 9750 12 20 DEPARTMENT OF STATISTICS Applications due: 1/15/83 Bachelor's by inst. 1235 I. R. Savage, Chairman Faculty 6; Published 6 Master's by dept. 6 Fellowship (12) 4500 9 * ** Ph.D. {79/82) S 4. Total: 4 Teaching Fellowship (11 )*** 580- per * 6.25 Grading, 1160*** term teaching Research Assistantship (2) 4500 9 20 Research *Most students receive a tuition fellowship from the University; tuition is more t~an $7800. **3rd and 4th year students earn half of their stipend through teaching, consulting, or work on a research contract. ***Funds available for 1982-83, $6380 for 11 units; if maximum is paid, the number of students participating must be reduced.

218 TYPE 0~ ASSISTANCE: !>TIPEND FEES SERVICE REQUIRED DEGREES AWARDED (number .mudpated p.aid to !ltudent paid by hours type Academic year 1983--1984) dolldn months student (S) per wed.. of service 1981-1982

DISTRICT OF COLUMBIA American University, Washington 20016 DEPARTMENT OF MATHEMATICS, STATISTICS, AND COMPUTER SCIENCE Applications due: 3/30/83 Bachelor's by inst. 1254 Basil P. Karin, Chair Faculty 25; Published 10 Bachelor's by dept. 45 Master's by dept. 30 Fellowship (4) 5000 12 Teaching Assistantship ( 10) 2500--5000 8 15-20 Ph.D. (79/82) ANT 1, S 7, *Includes both assistants whose duties arc to teach and ME 3. Total: 11 tutor with grading responsibilities. Catholic University of America, Washington 20064 DEPARTMENT OF MATHEMATICS Applications due: 2/1/83 Bachelor's by inst. 601 Gustav B. Hensel, Acting Head F acuity I 2; Published 6 Bachelor's by dept. 2 Master's by dept. Teaching Assistantship (3) 3000 9 4c Ph.D. (79/82) AFA 3, AM 1. Total: 4 George Washington University, Washington 20052 DEPARTMENT OF OPERATIONS RESEARCH Applications due: 3/1/83 Bachelor's by mst. 1670 Donald Gross, Chairman Faculty 9; Published 9 Bachelor's by dept. 1 Master's by dept. 37 Fellowship (2) * 12 1 "177 Teaching Assistantship (2) 1 800--7200 4·12 Ices 15 Teaching Ph.D. (79/82) OR 12. Total: 12 Rcsearcf1 Assistantship (1·4) 8100-10000 9·12 250/sem. hr. 20 Research *One-half tuition.

FLORIDA University of Florida, Gainesville 32611 DEPARTMENT OF INDUSTRIAL AND SYSTEMS ENGINEERING Application; due: 3/83 Ba~helor's by inst. 6720 D. Jack Elzinga, Chairman Facult) 14; Published 14 Bachelor's by dept. 61 Master's by dept. 23 Fellowship (3) 5000-7000 9 38/hr. Teaching Assistantship (15) 5400--8000 9 38/hr. 10 Ph.D. (79/82) OR 1. Total: 1 Research Assistantship (3) 5400-8000 12 38/hr. 20 University of North Florida, Jacksonville 32216 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: 6/30/83 Bachelor's by inst. 1084 William Caldwell, Chairman Faculty 12; Published 8 Bachelor's by dept. 27 Master's by dept. 2 Teaching Assistantship (2) 3800-4200 9 6 Teaching

GEORGIA Georgia Institute of Technology, Atlanta 30332 SCHOOL OF MATHEMATICS Applications due: 4/15/83 Master's by dept. 5 W. F. Ames, Acting Director Faculty 52; Published 36 Ph.D. (79/82) AFA 3, AM 4. Teaching Assistantship ( 15) 6000-7330 9 1090 sc Teaching Total: 7

IDAHO Idaho State University, Pocatello 83209 DEPARTMENT OF MATHEMATICS Applications due: 3/15/83 Bachelor's uy inst. 569 Richard D. Hill, Chairperson Faculty 12; Published 5 Bachelor's by dept. 4 Master's by dept. 2 Fellowship (8) 4000 9 Teaching Assistantship (7) 4000 9 -1-Sc Teaching Ph.D. (79/82) ANT 1, AFA 1, AM 1, ME 1. Total: 4

ILLINOIS

Northwestern University, Evanston 60201 DEPARTMENT OF MANAGERIAL ECONOMICS AND DECISION SCIENCES Applications due: 1/15/83 Bachelor's by inst. 1661 Mark A. Satterthwaite, Chairman Faculty 28; Published 24 Master's by depl. 40 Fellowship (16) 5400 9 Ph.D. (79/82) OR 6. Total: 6

219 TYPE OF ASSISTANCE STIPEND FEES SERVICE REQUIRED DEGREES AWARDED (number anticipated paid to student paid by hours type Academic year 1983-·1984) dollars months student($) per week of service 1981-1982

INDIANA Indiana University, Bloomington 47405 DEPARTMENT OF COMPUTER SCIENCE Applications due: 2/1/83 Bachelor's by inst. 4339 Edward L. Robertson, Chairman Faculty 18; Published 16 Bachelor's by dept, 57 Master's by dept. 31 Teaching Fellowship (3)* 7000* 9 164.70 20 Teaching Teaching Assistantship (50)* 5500* 9 164.70 20 Teaching Research Assistantship (8)* 6200* 9 1 64.70 20 Research *1982-83 figures; 1983-84 will be higher.

KANSAS Emporia State University, Emporia 66801 DEPARTMENT OF MATHEMATICS Applications due: 4/1/83 Bachelor's by inst. 730 George Poole, Chairman Faculty 9; Published 3 Bachelor's by dept. 17 Master's by dept. 3 Teaching Assistantship (4) 3200-4500 9 434.40 4-6c Teaching Kansas State University, Manhattan 66502 DEPARTMENT OF COMPUTER SCIENCE Applications due: 7/1/83 Bachelor's by inst. 2761 Virg Wallentine, Head Faculty 13; Published 1 0 Bachelor's by dept. 47 Master's by dept. 25 Teaching Assistantship (1 0) 500-1000 9 300 9 Ph.D. (79/82) CS 2. Total: 2

MAINE University of Maine at Orono 04469 DEPARTMENT OF MATHEMATICS Applications due: 3/1/83* Bachelor's by inst. 1229 Earl Beard, Chairman Faculty 31; Published 17 Bachelor's by dept. 14 Master's by dept. 2 Teaching Assistantship (5) 3800 9 I 0-16 Recitation section, lab, grading *Late applications considered if positions still available.

MASSACHUSETTS Harvard University, School of Public Health, Boston 02115 DEPARTMENT OF BIOSTATISTICS Applications due: 3/1/83 Bachelor's by inst. 1612 Marvin Zelen, Chairman Faculty 25; Published 25 Master's by dept. 11 Fellowship (9) 5000 12 10 Research Ph.D. (79/82) Other 7. Total: 7 Teaching Assistantship (15) 1500 Full 2c Research Assistantship (1 0) 5000--6000 9 Full Harvard University, Cambridge 02138 DEPARTMENT OF COMPUTER SCIENCE Applications due: 12/31/82* Bachelor's by inst. 1612 Thomas E. Cheatham, Jr., Director Faculty 8; Published 8 Bachelor's by dept. 34 Master's by dept. 6 Fellowship (2-3) 6900-9000 9-12 Teaching Fellowship (25) 3825-8850 9 3600-4500 10-20 Grading, Ph.D. (79/82) CS 16. Total: 16 sections Teaching Assistantship (25) 2600-5600 9 8470 I 0-20 Grading, sections Research Assistantship (14-16) 10300-11400 12 3600-4500 20 Research Scholarship (5-10) 5175 9 *For new graduate students; no deadline thereafter.

MISSOURI Northeast Missouri State University, Kirksville 63501 DEPARTMENT OF MATHEMATICS Applications due: 4/15/83* Bachelor's by inst. 962 Lanny C. Morley, Head Faculty 13; Published 2 Bachelor's by dept. 33 Master's by dept. 2 Teaching Assistantship (1 0) 2000-6000 12 6c Teaching or grading *Late applications accepted.

220 TYPE OF ASSISTANCE STIPEND FEES SERVICE REQUIRED DEGREES AWARDED (number anticipated paid to student paid b} hours tvpe Academic year 1983--1984) dollars month~ ,tudent ($) per wed~. of serviCL' 1981-1982

University of Missouri-Kansas City 64110 DEPARTMENT OF MATHEMATICS Applications due: 5/15/83* Bachelor's by in st. 1100 Paul Liebnitz, Chairman Facuity 11; Published 8 Bachelor's by dept. 7 Master's by dept. 1 Teaching Fellowship (6) 5850-6000 9 1300 5-6c Ph.D. (79/82) GT 1, AM 1. Total: 2 *To be sure of consideration.

NEW HAMPSHIRE Dartmouth College, Hanover 03755 DEPARTMENT OF MATHEMATICS Faculty 27; Published 16 Bachelor's by inst. 957 Martin Arkowitz, Chairman Bachelor's by dept. 61 Master's by dept. 5 Fellowship (16) 6420 9-12 4-10 Teaching Ph.D. (79/82) AFA 2, L 1, P 2, CS 1, Other 2. Total: 8

NEW JERSEY New Jersey Institute of Technology, Newark 07102 DEPARTMENT OF MATHEMATICS Applications due: 4/15/83 Bachelor's by inst. 400 Henry Zatzkis, Chairman Faculty 26; Published 13 Bachelor's by dept. 5 Master's by dept. 4 Teaching Assistantship (4) 5250 9 6 Teaching Rutgers University, New Brunswick 08903 DEPARTMENT OF STATISTICS Applications due: 3/1 /83 Bachelu1 ·, by inst. 4967 William E. Strawderman, Chairman Faculty 18; Published 16 Bachelor\ by dept. 11 Master's by dept. 18 Fellowship (6) 5000 9 * Teachi-ng Assistantship (8Y,) 6086-6386 9 * max. 15 Teaching Ph.D. (79/82) S 7. Total: 7 Research Assistantship (3) 6086-6386 9 * max. 15 Research *Student pays student lee of about $97 per year. Trenton State College, Trenton 08625 DEPARTMENT OF MATHEMATICAL SCIENCES Faculty 23; Published 10 Bachelor's by dept. 30 Ed Conjura, Chairman Master's by dept. 4 Teaching Assistantship (I) 2500 9 15

NEW YORK City University of New York, Brooklyn College, Brooklyn 11210 DEPARTMENT OF COMPUTER AND INFORMATION SCIENCES Applications due: * Bachelor's by inst. 2500 F. S. Beckman, Chairman Faculty 19; Published 15 Bachelor's by dept. 150 Master's by dept. 10 Teaching Assistantship (4) 3500-7000 9 1500 3-8c Teaching Research Assistantship (4) 3500-7000 9 1500 1 0-20 Research *Two months before start of term. Columbia University, New York 10027 DEPARTMENT OF MATHEMATICAL STATISTICS Applications due: 2/1 /83* Bachelor's by inst. 1520 Howard Levene, Chairman Faculty 7; Published 7 Bachelor's by dept. 2 Master's by dept. 14 Teaching Fellowship (13) 5400-7200 9-12 10 Grading, teaching Ph.D. (79/82) P 2, S 5. Graduate Research Total: 7 Assistantship (3) 7200 12 27 Research *Late applications considered. Cornell University, Ithaca 14853 SCHOOL OF OPERATIONS RESEARCH AND INDUSTRIAL ENGINEERING Applications due: I /15/83 Bachelor's by inst. 2539 George L. Nemhauser, Director Faculty 19; Published 19 Bachelor's by dept. 79 Master's by dept. 46 Fellowship (8) 7100-9200 9 Teaching Fellowship (1) 7100 9 Ph.D. (79/82) OR 5. Total: 5 Teaching Assistantship (22) 5200-5400 9 15 Grading, teaching Research Assistantship (11) 5200--5400 9 15 Research

221 TYPE OF ASSISTANCE STIPEND FEES SERVICE REQUIRED DEGREES AWARDED (number anticip.atrd paid to student paid by hours type Academic year 1983-1984) dollars months student ($) per week of service 1981-1982

Long Island University, C. W. Post Center, Brookville 11548 DEPARTMENT OF MATHEMATICS Applications due: 5/30/83 Bachelor's by inst. ~ 371 Elliott Bird, Chairman Faculty 18; Published 10 Bachelor's by dept. 8 Teaching Fellowship (1) 2300 9 20 Tutoring Master's by dept. 9 Teaching Assistantship (4) 9 16 Tutpring

NORTH CAROLINA University of North Carolina, Chapel Hill 27514 DEPARTMENT OF STATISTICS Applications due: 1/21/83 Bachelor's by inst. 3144 Walter L. Smith, Chairman Faculty 13; Published 11 Master's by dept.· 2 Fellowship (3) 4500-5500 9 Ph.D. (79/82) P 4, S 10. Teaching Assistantship (15) 5000-5200 9 688 6-8 Teaching, Total: 14 grading Research Assistantship (3) 5000--5200 9 688 6-8 Research Ltd. Service Fellowship (2) 5000 -5200 9 688 6 Grading

NORTH DAKOTA University of North Dakota, Grand Forks 58202 DEPARTMENT OF MATHEMATICS Applications due: open Master's by dept. 3 Ronald Bzoch, Chairman Faculty 15; Published 4 Teaching Assistantship (3) 2475-4950 9 15 Teaching, grading

OHIO University of Cincinnati, Cincinnati 45221 DEPARTMENT OF QUANTITATIVE ANALYSIS Applications due: 3/1/83 Bachelor's by inst. 3081 Dennis). Sweeney, Head Faculty 15; Published 15 Bachelor's by dept. 50 Teaching Assistantship (5) 3300-4000 9 20 Master's by dept. 15 Research Assistantship (5) 3300-4000 9 20 Ph.D. (79/82) S 3, OR 6. Total: 9

OREGON Oregon State University, Corvallis 97331 DEPARTMENT OF MATHEMATICS Applications due: open Bachelor's by inst. 2948 R. M. Schori, Chairman Faculty 35; Published 24 Bachelor's by dept. 14 Teaching Assistantship (34) 4760-5530 9 262* 12 Teaching Master's by dept. 7 Ph.D. (79/82) AFA 1, GT 1, *Based on 1982-83 fees. AM 2. Total: 4

PUERTO RICO University of Puerto Rico, Rfo Piedras 00931 DEPARTMENT OF MATHEMATICS Applications due: 3/1/83 Bachelor's by inst. 3037 Andrew M. Olson, Chairman Faculty 41; Published 5 Bachelor's by dept. 41 Master's by dept. 2 Teaching Assistantship (30) 3500 9 6c Teaching Research Assistantship (2) 3500 9 45/cr. hr. 18 Research

SOUTH DAKOTA South Dakota State University, Brookings 57007 DEPARTMENT OF MATHEMATICS Applications due: 4/15/83 Bachelor's by inst. 1046 K. L. Yocom, Head Faculty 17; Published 3 Bache! or's by dept. 11 Teaching Assistantship (6) 2400-4800 9 13.36/sem.hr. 3-6

222 TYPE OF ASSISTANCE STIPEND FEES SERVICE REQUIRED DEGREES AWARDED (number anticipat•d paid to student paid by hours type Academic year 1983 --1984) dollars months student {$) per wee~ of service 1981-1982

TENNESSEE Memphis State University, Memphis 38152 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: 4/15/83 Bachelor's by inst. 1913 Stanley Franklin, Chairman Faculty 30; Published 18 Bachelor's by dept. 27 Teaching Assistantship (33) 5100-6600 9 864 20 Teaching Master's by dept. 41 Ph.D. (79/82) ANT 2, AFA 1, S 4, CS 1, AM 1. Total: 9

TEXAS Lamar University, Beaumont 77710 DEPARTMENT OF MATHEMATICS Applications due: 4/1/83 Bachelor's by inst. 1200 Katherine Bell, Acting Head Faculty 22; Published 2 Bachelor's by dept. 17 Teaching Fellowship (5) 4248-4748 9 1 80/sem. 20 Teaching Master's by dept. 8 Rice University, Houston 77251 DEPARTMENT OF MATHEMATICS Applications due: 3/1/83 Bachelor's by inst. 600 W. A. Veech, Chairman* Faculty 16; Published 16 Bachelor's by dept. 25 Fellowship (1 0) 6000-7500 9 3700** 3-6 Grading, Master's by dept. 3 teaching Ph.D. (79/82) AFA 3, AM 1. Research Assistantship (5) 6000 3700** 3-6 Grading, Total: 4 teaching *Inquiries for applications should be sent to: R. 0. Wells, Jr., Chairman, Graduate Committee. **Approximately 15 tuition waivers available. DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: 3/1/83 Bachelor's by inst. 600 Richard A. Tapia, Chairman Faculty 16; Published 15 Bachelor's by dept. 33 Master's by dept. 6 Fellowship (4) 3000-4500 9 3400 10 Research Research Assistantship (5) 3000-4500 9 3400 10 Research Scholarship ( 15) 3200 9 3400 Southern Methodist University, Dallas 75234 DEPARTMENT OF STATISTICS Applications due: 3/31/83 Bachelor's by inst. 1367 Richard F. Gunst, Chairman Faculty 14; Published 9 Master's by dept. 1 Teaching Assistantship (1 8) 5500 9 2142 6c Ph.D. (79/82) 5 14. Total: 14 Southwest Texas State University, San Marcos 78666 DEPARTMENT OF MATHEMATICS AND COMPUTER SCIENCE Applications due: 4/1/83 Bachelor's by inst. 2434 John Spellmann, Chairman Faculty 34; Published 20 Bachelor's by dept. 51 Master's by dept. 6 Teaching Assistantship (10) 6100-6500 9 400* 12 Teaching Lab Assistantship (5) 4050-4500 9 400* 20 Lab work *Out-of-state. Texas A&M University, College Station 77843 DEPARTMENT OF MATHEMATICS Applications due: 3/1/83* Bachelor's by inst. 6533 H. E. Lacey, Chairman Faculty 84; Published 60 Bachelor's by dept. 14 Teaching Assistantship (70) 5400-6300 9 500 I 0-12 Recitation Master's by dept. 2 section, Ph.D. (79/82) ANT 1, AFA 2, *Late applications will be considered. related duties GT 1. Total: 4

UTAH Brigham Young University, Provo 84602 DEPARTMENT OF MATHEMATICS Applications due: 7/1/83 Bachelor's by inst. 2930 Peter L. Crawley, Chairman Faculty 39; Published 21 Bachelor's by dept. 22 Teaching Assistantship (50) 1792-2112 8 * 10 Traching Master's by dept. 1 Scholarship (6-8) ** 8 * Internship (2) 8 10 Research *Dollar amount not available at this time. **Minimum: One-ralf tuition; Maximum: tuition

223 TYPE OF ASSISTANCE STIPEND FEES SERVICE REQUIRED DEGREES AWARDED (number antu.ipated p.1id to !'tudent paid by hours type Academic year 1983-- 1984\ doll.us month!t student($) per week of service 1981-1982

Utah State University, Logan 84322 DEPARTMENT OF MATHEMATICS Applications due: 4/1 /83 Bachelor's by inst. 1300 L. Duane Loveland, Head Faculty 20; Published 14 Bachelor's by dept. 5 Master's by dept. 3 Teaching Assistantship (15) 3500-7200 9 750 10c

VERMONT

University of Vermont, Burlington 05405 DEPARTMENT OF MATHEMATICS Applications due: 2/15/83 Bachelor's by inst. 1750 Donald E. Moser, Chairman Faculty 19; Published 9 Bachelor's by dept. 26 Master's by dept. 2 Fellowship (11) 5000 9 30 6c Teaching

WISCONSIN

University of Wisconsin-Milwaukee 53201 DEPARTMENT OF MATHEMATICAL SCIENCES Applications due: * Bachelor's by inst. 2211 D. J. Patil, Chairman Faculty 37; Published 25 Bachelor's by dept. 8 Master's by dept. 7 Fellowship (2) 6500 9 1400 Teaching Assistantship (40) 8500-9000 9 1400 7c Teaching Ph.D. (79/82} ANT 1, AFA 1, Research Assistantship (1) 8000 12 1400 20 Research AM 2. Total: 4 *Fellowships: 2/15/83; Assistantships: 8/15/83.

WYOMING

University of Wyoming, Laramie 82071 DEPARTMENT OF STATISTICS Faculty 9; Published 8 Bachelor's by inst. 1183 Lyman McDonald, Chairman Bachelor's by dept. 1 Master's by dept. 3 Teaching Assistantship (9) 2767.50-5535 9 20 Teaching, grading Ph.D. (79/82} 5 7. Total: 7

CANADA

Carleton University, Ottawa, Ontario K 1S 586 DEPARTMENT OF MATHEMATICS AND STATISTICS Applications due: 3/1/83 Bachelor's by inst. 1800 K. 5. Williams, Chairman Faculty 32; Published 25 Bachelor's by dept. 30 Master's by dept. 8 Fellowship* 8000-12000 12 ** 2Y.-1 0 Grading Teaching Fellowship* 8000-12000 12 ** 2Y,-1 0 Grading Ph.D. (79/82) ANT 2, GT 1, Teaching Assistantship* 8000-12000 12 ** 2Y,-1 0 Grading P 2, OR 1, AM 2. Total: 8 Research Assistantship* 8000-12000 12 ** 2Y,-10 Grading Scholarship* 8000-12000 12 ** 2Y,-1 0 Grading *There is a total of thirty awards, which are broken up into Fellowships, Teaching Fellowships, etc. **Canadian: $900-$1700; Foreign: $7500. Concordia University, Montreal, Quebec H4B 1 R6 DEPARTMENT OF MATHEMATICS Applications due: 4/1/83 Bachelor's by inst. 2160 H. Proppe, Chairman Faculty 40; Published 25 Bachelor's by dept. 22 Master's by dept. 16 Teaching Assistantship (12) 7500 12 240* 10 *Canadian student. Dalhousie University, Halifax, Nova Scotia B3H 4H8 DEPARTMENT OF MATHEMATICS, STATISTICS AND COMPUTING SCIENCE Applications due: 3/31/83 Master's by dept. 3 Faculty 32; Published 30 A. C. Thompson, Chairman Ph.D. (79/82} ANT 1, AFA 3, Fellowship (1 0) 6000-9500 12 * 5 Grading AM 2. Total: 6 Teaching Assistantship (1 0} 6000-8500 12 * 5 Srading *$1152 Canadian.

224 TYPE OF ASSISTANCE STIPEND FEES SERVICE REQUIRED DEGREES AWARDED (number anticipated paid to student paid by hour.. type Academic year 1983--1984) dollars months student ($) per week of ser\'ice 1981--1982

Lakehead University, Thunder Bay, Ontario P7B 5E1 DEPARTMENT OF MATHEMATICAL SCIENCES Faculty 15; Published 9 Bachelor's by inst. 582 W. Eames, Chairman Bachelor's by dept. 14 Master's by de pt. 2 Fellowship (1) 1500 Teaching Assistantship* 3250 8 10 Scholarship (8) 1200 8 C. J. Sanders Graduate Award* 1800-4000 *Unlimited. McGill University, Montreal, Quebec H3A 2K6 DEPARTMENT OF MATHEMATICS Applications due: 2/1 5/83 Bachelor's by dept. 52 Michael Herschorn, Chairman Faculty 45; Published 25 Master's by dept. 6 Students getting financial aid receive a minimum of $7,000 with mixed duties. Ph.D. (79/82) AFA 3, Other 1. Total: 4 Memorial University of Newfoundland, St. John's, Newfoundland A1B 3X7 DEPARTMENT OF MATHEMATICS AND STATISTICS Applications due:* Bachelor's by inst. 1447 john H. Burry, Head Faculty 49; Published 32 Bachelor's by dept. 40 Master's by dept. 3 Fellowship** 5000-8000 12 *** Teaching Assistantship** 1500-3500 12 *** Ph.D. (79/82) GT 2. Total: 2 Bursary** 500-3000 12 *** *3 months prior to start of program. **No fixed number. ***Master: $1632; doctorate: $3078. These are total program fees (not per year). University of Calgary, Calgary, Alberta T2N 1N4 DEPARTMENT OF MATHEMATICS AND STATISTICS Applications due:* Bachelor's by inst. 1943 Patrick Browne, Head Faculty 47; Published 44 Bachelor's by dept. 12 Teaching Assistantship (34) 6930-8460 8 12 Preparation, Master's by dept. 4 contact, Ph.D. (79/82) Other 7. Total: 7 marking Research Assistantship (25) 5330 8 Scholarship (3) 3500-5600 8 *All applicants are automatically considered. University of Guelph, Guelph, Ontario N1G 2W1 DEPARTMENT OF MATHEMATICS AND STATISTICS Applications due:* Bachelor's by inst. 2400 W. R. Smith, Chairman Faculty 33; Published 24 Bachelor's by dept. 18 Teaching Assistantship (12) 5638 9 336/sem. 10 Tutoring *As required by university calendar. University of Toronto, Toronto, Ontario M5S 1A7 DEPARTMENT OF COMPUTER SCIENCE Applications due: 1/31/83 Master's by dept. 22 A. B. Borodin, Chairman Ph.D. (79/82) CS 22. Total: 22 Connaught Fellowship (1) 7300 12 133.50 Research University Fellowship (13) 5600 M.S. 12 * 5800 Ph.D. 12 * Teaching Assistantship (90) 1003.56- 1795.96 9 ** Research Assistantship (30) 8400-9480 ** NSERC (22) 10500 ** NSERC (2) 15750 ** OGS (10) 6270 ** MOSS (1) 6500 ** *$2,500 plus $133.50 fee. **Canadian/permanent residents: $1 ,213.50; visa students: $5, 133.50. University of Waterloo, Waterloo, Ontario N2L 3G1 DEPARTMENT OF APPLIED MATHEMATICS Applications due: 4/15/83 Bachelor's by inst. 2780 C. F. A. Beaumont, Chairman Faculty 21; Published 16 Bachelor's by dept. 13 Teaching Assistantship (76) 1331-1456 4 * 5c Grading, teaching Master's by dept. 7 Research Assistantship (22) 3286 4 * 0-10 Research PH.D. (79/82) AM 5. Total: 5 Scholarship (9) 4180-15750 12 * University Bursary (18) 600-3600 12 * *Canadian: $1,240 per year; visa: $8,600 per year.

225 TYPE OF ASSISTANCE STIPEND FEES SERVICE REQUIRED DEGREES AWARDED (number anticipated paid to student paid b} hours type Academic year 1983-1984) dollars month; student($) per week of service 1981-1982

DEPARTMENT OF COMBINATORICS AND OPTIMIZATION Applications due: 4/15/83 Bachelor's by inst. 2780 P. j. Schellenberg, Chairman Faculty 24; Published 23 Bachelor's by dept. 15 Teaching Assistantship (80) 1331-1456 4 * sc Grading, teaching Master's by dept. 2 Research Assistantship (12) 3286 4 * 0·10 Research Ph.D. (79/82) Other 6. Total: 6 Scholarship (5) 4180-15750 12 * University Bursary (12) 600-3600 12 * *Canadian: $1,240 per year; visa: $8,600 per year. DEPARTMENT OF COMPUTER SCIENCE Applications due: 4/15/83 Bachelor's by inst. 2780 ). Brzozowski, Chairman Faculty 42; Published 37 Bachelor's by dept. 120 Master's by dept. • 50 Teaching Assistantship (361) 1331-1456 4 * sc Grading, teaching Research Assistantship (135) 3286 4 * 0-10 Research Ph.D. (79/82) CS 17. Total: 17 Scholarship (25) 4180-15750 12 * University Bursary (12) 600-3600 12 * *Canadian: $1 ,240 per year; visa: $8600 per year. DEPARTMENT OF PURE MATHEMATICS Applications due: 4/15/83 Bachelor's by inst. 2780 G. E. Cross, Chairman Faculty 24; Published 18 Bachelor's by dept. 6 Master's by dept. 4 Teaching Assistantship (33) 1331-1456 4 * sc Grading, teaching Research Assistantship (1 0) 3286 4 * 0·10 Research Ph.D. (79/82) ANT 2, GT 1. Scholarship (4) 4180-15750 12 * Total: 3 University Bursary (1 0) 600-3600 12 * *Canadian: $1 ,240 per year; visa: $8,600 per year. DEPARTMENT OF STATISTICS AND ACTUARIAL SCIENCE Applications due: 4/15/83 Bachelor's by inst. 2780 ). F. lawless, Chairman Faculty 30; Published 25 Bachelor's by dept. 10 Teaching Assistantship (70) 1331-1456 4 * sc Grading, teaching Master's by dept. 15 Research Assistantship (20) 3286 4 * 0-10 Research Ph.D. (79/82) S 8. Total: 8 Scholarship (11) 4180-15750 12 * University Bursary (8) 600-3600 12 * *Canadian $1,240 per year) visa: $8,600 per year. York University, Downsview, Ontario M3J 1P3 DEPARTMENT OF MATHEMATICS Applications due: * Bachelor's by inst. 4200 P. Olin, Chairman Faculty 37; Published 33 Bachelor's by dept. 44 Master's by dept. 10 Teaching Assistantship (20) 5000 9 ** Scholarship (1) 3000 9 ** 10 Problem sessions, grading *Foreign students: 5/83; Canadian students: 6/83. **Canadian citizen or landed immigrant: $1, 176; Foreign students: $4,960.

Erratum The number of doctoral degrees awarded during the last three years (July 1979-june 1982) by CLEM­ SON UNIVERSITY, Department of Mathematical Sciences should have been 8 not 3: algebra or number the­ ory 2, analysis or functional analysis 2, statistics 3, operations resea.rch 1.

226 Critical, Historical, or Expository Theses

Sv,pplementary List

The list below supplerrwnts thr; list published on page 781 of the December 1982 Notices.

Connecticut Idaho Ohio Yale Univ Idaho State Univ Univ of Cincinnati Statistics Ph.D. Mathematics D.A. Quantitative Analysis Ph.D. District of Columbia Illinois Tennessee American Univ Northwestern Univ Memphis State Univ Mathematics, Statistics, Managerial Economics and Mathematical Sciences Ph.D. and Computer Science Ph.D. Decision Sciences Ph.D. George Washington Univ Texas Hampshire Operations Research D.Sc. New Rice Univ Dartmouth Coil Mathematical Sciences Ph.D. Florida Mathematics Ph.D. Univ of Florida Wyoming Industrial and Systems New Jersey Univ of Wyoming Engineering Ph.D. Rutgers University Statistics Ph.D. Statistics Ph.D.

CONTENTS Paul Baum and Ronald G. Douglas, Index theory, bordism, and K-homology Joel M. Cohen and Leonede De-Michele, The radical Fourier-Stieltjes algebra of free groups David Handelman, Reducible topological Markov chains via K0 -theory and Ext OPERATOR ALGEBRAS AND K-THEORY W. C. Hsiang and H. D. Rees, Miscenko's work on edited by Ronald G. Douglas and Claude Schochet Novikov's conjecture In the last twenty years there has been more and Jerome Kaminker, Pseudo-differential operators and more interplay between functional analysis and alge­ differential structures braic topology, and, more specifically, between oper­ Henri Moscovici, L 2-index on elliptic operators on ator algebras and K-theory. This interplay has led locally symmetric spaces of finite volume already to the index theorem for elliptic operators, William L. Paschke, K-iheory for actions of the cir­ the classification of essentially normal operators, the cle group on C*-algebras index theorem hr foliations, as well as a host of Marc A. Rieffel, Cannes' analogue for crossed prod­ other related results. ucts of the Thorn isomorphism A Special Session in Operator Algebras and K­ Jon a than Rosenberg, The role of K-theory in non­ Theory was held at the annual AMS meeting in San commutative algebraic topology Francisco on January 7-8, 1981. The present volume 1\iorberto Salinas, Some remarks on the classification represents nearly all of the talks given, one extra of essentially n-normal operators paper by an honorary participant, and a list of prob­ A Selection of Problems, edited by Edward G. Effros lems edited by Edward G. Effros. 1980 Mathematics Subject Classifications: 46 LOS, 55 N 15. The book is intended for mathematicians and graduate students. Several of the articles are partially or totally expository in nature, requiring a very Contemporary Mathematics modest background. Others are research articles for Volume 10, vii + 204 pages (soft cover) the specialist. These papers delineate a new field of List price $14, institutional member $11, individual member $7 study and describe various directions of new research. ISBN 0-8218-5011-3; LC 82-4094 They should make it possible for others to enter the Publication date: May 1982 field. To order, please specify CONM/1 ON Prepayment is required for all AMS publications. Order from AMS, P.O. Box 1571, Annex Station, Providence, Rl 02901, or call toll free 800-556-7774 to charge with Visa or MasterCard.

227 AMS Reports and Communications

Recent Appointments of the committee are Benedict Gross (1986), Kenneth Kunen (1983), Katsumi Nomizu (1986), Donald S. Committee members' terms of office on standing Ornstein (1983), Julius Shaneson (1984), R. 0. Wells, committees expire on December 31 of the year Jr., chairman (1985), and Shmuel Winograd (1984). given in parentheses following their names, unless Terms expire on June 30. otherwise specified. Linda Keen (AMS) was appointed to the AMS­ IMS-SIAM Ad Hoc Oversight Committee of the Frederick W. Hartmann and James J. Solderitsch Evaluation Panel for the NSF Postdoctoral Fel­ were appointed by then President Andrew M. Gleason lowships in the Mathematical Sciences by then to be the tellers in the election of 1982. A report on President Andrew M. Gleason. Continuing mem­ the results of the election appears in this issue of the bers of the committee are Mark Ablowitz (SIAM), Notices. chairman and Donald L. Burkholder (IMS). Maria M. Klawe was appointed to the Committee Dana S. Scott has been appointed to the on Corporate Relations by then chairman of the AMS-MAA-SIAM Joint Concerns Committee in Board of Trustees, Alex Rosenberg. Other members Mathematics by President Julia 8. Robinson. of the committee are Oscar S. Rothaus and P. Emery Continuing members of the committee are Ivan Niven Thomas. (MAA), I. Edward Block (SIAM), Hirsh G. Cohen (SIAM), William J. LeVeque (AMS), Seymour V. Steve Armentrout, Andrew M. Gleason, Ronald L. Parter (SIAM), Julia 8. Robinson (AMS), David P. Graham, and Franklin P. Peterson were appointed Roselle (MAA), and Alfred 8. Willcox (MAA). to a new Committee on Salaries by then chairman of the Board of Trustees, Alex Rosenberg, Professor C. K. Chu (1985) and Alan G. Konheim (1985) have Gleason is the chairman. been appointed by Presidents Hirsh G. Cohen (SIAM) and Julia B. Robinson (AMS) to the joint AMS-SIAM Steve Armentrout, Cathleen S. Morawetz, Alex Committee on Applied Mathematics. Continuing Rosenberg, and P. Emery Thomas were appointed members of the committee are Roger W. Brockett to a new Committee on Trustees' Operations (1984), Alan C. Newell, chairman (1983), George C. by then chairman of the Board of Trustees, Alex Papanicolaou (1983), and Robert F. Warming {1984). Rosenberg. The chairman of this committee is Professor Rosenberg. Gail A. Carpenter (1986) and John Rinzel {1986) have been appointed to the joint AMS-SIAM Lisl Novak Gaal (1984) has been appointed by Committee on Mathematics in the Life Sciences President Julia B. Robinson to the Committee on by Presidents Hirsh G. Cohen {SIAM) and Julia Employment and Educational Policy. Continuing 8. Robinson {AMS). Continuing members of the members of the committee are Lida K. Barrett committee are H. Thomas Banks {1984), Joel E. (1985), Irwin Kra (1984), Robert W. McKelvey (1983), Cohen {1983), Joseph 8. Keller {1983), Robert M. Donald C. Rung, chairman (1984), and Barnet M. Miura, chairman {1984), Garrett M. Odell (1983), and Weinstock (1983). Charles S. Peskin (1983). President Julia B. Robinson has appointed Susan Phillip A. Griffiths was appointed chairman of Montgomery (1984) to the Committee on Postdoc­ the AM8-SIAM Committee to Screen Applicants toral Fellowships. Continuing members of the for Graduate Study from the People's Republic of committee are Richard M. Karp (1983), Daniel J. China by then Presidents Andrew M. Gleason (AMS) Kleitman (1983), Stewart B. Priddy (1984), Paul H. and Seymour V. Parter (SIAM). Other members Rabinowitz, chairman (1983), Irving Reiner (1984), of the committee are Chia-chiao Lin, Beresford N. and Donald E. Sarason (1983). Parlett, Franklin P. Peterson, Mei-chang Shen, and Leonard Gillman and Anelli Lax have been . appointed to the Committee on Professional Ethics Alan J. Hoffman has been appointed as a by President Julia B. Robinson. Continuing members representative to the Committee on the Fulkerson of the committee are Paul R. Halmos, chairman, Prize by President Julia B. Robinson. Other John C. Oxtoby, and E. G. Straus. members of the committee are Richard M. Karp and A. P. Calderon and I. M. Singer have been Victor L. Klee. A description of the prize and a list appointed to the ad hoc Committee to Select the of past winners is on page 654 of the November 1981 Winner of the Bocher Prize for 1984 by President issue of the Notices. (See also page 624, November Julia B. Robinson. Professor Calderon has been 1982 issue.) appointed chairman. Jerrold E. Marsden (1985) has been appointed to the Committee on Summer Research Conferences by President Julia 8. Robinson. Continuing members

228 Reports of Past Meetings Gordh, Jr., W. T. Ingram, James Keesling, Judy Anita Kennedy, K. Kuperberg, Wayne Lewis, John C. The November Meeting in Baton Rouge Mayer, James T. Rogers, Jr., Michel Smith, Edward D. Tymchatyn, and David C. Wilson. The seven hundred ninety-eighth meeting of the Applications of algebraic K-theory to topology, American Mathematical Society was held at Louisiana FRANK QUINN, Virginia Polytechnic. Institute. State University in Baton Rouge, Louisiana, on Friday The speakers were Douglas R. Anderson, David W. and Saturday, November 12-13, 1982. Sessions were Carter, Kevin R. Coombes, W. C. Hsiang, Frank held in Pleasant Hall and the LSU Student Union. Quinn, Allen Scholnick, and Neal W. Stoltzfus. There were 152 registrants, including 140 members of Contributed Papers. There were also two sessions the Society. for contributed ten-minute papers for which the Invited Addresses. By invitation of the Com­ presiding officers were Jan Andrus and Temple H. mittee to Select Hour Speakers for Southeastern Fay. Sectional Meetings, there were four invited one-hour The local arrangements committee consisted of addresses. The speakers, their titles, and times of Robert Dorroh (chairman), Burt Casler, and John presentations were: Koehl. There was a beer party on Friday night. J. THOMAS BEALE, Tulane University, Some existence questions for the equations of surface Frank T. Birtel waves. New Orleans, Louisiana Associate Secretary ERIC BEDFORD, Indiana University, Blooming­ ton, Topics on holomorphic mappings. JON F. CARLSON, University of Georgia, The November Meeting in East Lansing Cohomology and varieties of modules over group algebras. The seven hundred ninety-ninth meeting of the WILLIAM PARDON, Duke University, Lower American Mathematical Society was held at Michigan K-theory and singularities. State University, East Lansing, on Friday and The presiding officers at these four lectures were Saturday, November 12-13, 1982. Sessions were Edward D. Conway III, F. Reese Harvey, Bjarni held in the Kellogg Center for Continuing Education Jonsson, and Pierre E. Conner, Jr., respectively. on the MSU campus. There were 202 registrants, inc.luding 191 members of the Society. Special Sessions. By invitation of the same committee, there were six special sessions of selected Invited Addresses. By invitation of the 1982 twenty-minute papers as follows: Committee to Select Hour Speakers for Central Nonlinear partial differential equations, GILES Sectional Meetings, there were four invited one-hour AUCHMUTY, University of Houston. The speakers addresses. The speakers and their titles were as were Giles Auchmuty, Ilya J. Bakelman, Clyde E. follows: Collins, J. R. Dorroh, Lawrence C. Evans, William E. HAROLD G. DONNELLY, Purdue University, Fitzgibbon, Jerome A. Goldstein, Martin Golubitsky, L 2 cohomology of complete Riemannian manifolds. Richard A. Graff, Louis N. Howard, Daniel S. WILLIAM T. EATON, University of Texas, Levine, Basil Nicolaenko, R. E. Showalter, Miehael Austin, Some uses of decomposition spaces in W. Smiley, Gary A. Sod, Fred B. Weissler, and Lewis manifold theory. Wheeler. SIMON HELLERSTEIN, University of Wisconsin, Universal algebra and combinatorics, TREVOR Madison, Reality of the zeros of derivatives of EVANS, Emory University. The speakers were entire and meromorphic functions. Bernhard Stephen D. Comer, Dwight A. Duffus, JEFFREY B. RAUCH, University of Miehigan, N. S. Mendelsohn, Kevin T. Ganter, C. C. Lindner, Ann Arbor, Nonlinear interaction of waves: recent and Robert Roth. Phelps, Robert W. Quackenbush, discoveries. Representations of finite groups, EDWARD The presiding officers at these four lectures were GREEN, Virginia Polytechnic Institute. The Herman R. Gluck, Joan S. Birman, Albert Edrei, and speakers were J. L. Alperin, David W. Burry, Hans F. Weinberger. Leonard Chastkofsky, Pamela A. Ferguson, William H. Gustafson, Andy R. Magid, Brian J. Parshall, and Special Sessions. By invitation of the same Leonard Scott. eommittee, there were seven speeial sessions of Several complex variables, MORRIS KALKA, selected twenty-minute papers. The topics of these Tulane University. The speakers were AI Boggess, special sessions, the names of the organizers, and the Daniel Burns, Chong Kyu Han, Gary A. Harris, Reese lists of speakers were as follows: Harvey, John M. Lee, R. Molzon, Ngaiming Mok, Geometric topology, SELMAN AKBULUT and Theodore Shifrin, Albert L. Vitter, S. M. Webster, MICHAEL HANDEL, Michigan State University. and Pit-Mann Wong. The speakers were J. S. Birman, Steven A. Bleiler, Continua theory, LEX OVERSTEEGEN, Univer­ Tim Cochran, William D. Dunbar, Allan L. Edmonds, sity of Alabama, Birmingham. The speakers were David Gabai, James P. Henderson, Robert Meyerhoff, Harold Bell, James F. Davis, Ralph Ford, G. R. Ulrich Oertel, John Smillie, and L. R. Taylor.

229 Interaction-diffusion systems, DONALD G. Postgraduate School in Monterey, California, on ARONSON, University of Minnesota, Minneapolis. Friday and Saturday, November 19-20, 1982. The The speakers were D. G. Aronson, Maury Bramson, meeting was held in conjunction with a meeting of Steven R. Dunbar, Neil Fenichel, John A. Ferae, the Northern California section of the Soc.iety for Robert Gardner, Stuart P. Hastings, C. Jones, Roger Industrial and Applied Mathematics (SIAM). There Lui, R. C. MacCamy, Hans G. Othmer, Joel A. were 85 registrants including 57 members of the Smaller, David Terman, Juan-Luis Vazquez, and Society. Peter C. C. Wang served as the local Hans Weinberger. organizer of this meeting. Banach spaces of analytic functions, SHELDON Invited Addresses. By invitation of the Com­ AXLER, Michigan State University. The speakers mittee to Select Hour Speakers for Far Western were Leon Brown, Kevin F. Clancey, Carl C. Cowen, Sectional Meetings, there were two invited one-hour James Dudziak, Pamela B. Gorkin, Jim Hartman, addresses: Sergei Hruscev, Daniel H. Luecking, Barbara D. DAVID GIESEKER, of the University of Califor­ MacCiuer, Joel H. Shapiro, Allen Shields, and Carl nia, Los Angeles, spoke on Special divisors on Sundberg. Riemann surfaces. He was introduced by Robert Semigroup theory, KARL E. BYLEEN and Varley. PETER R. JONES, Marquette University, and , of the University of Califor­ JOHN ZELEZNIKOW, Michigan State University. nia, Berkeley, spoke on Curvature and differential The speakers were G. T. Clarke, Arthur Gerhard, R. equations. He was introduced by Robert Greene. P. Hunter, Peter R. Jones, Gerard Lallement, D. R. LaTorre, B. L. Madison, Stuart W. Margolis, C. J. Special Sessions. By invitation of the same Maxson, Donald B. McAlister, Robert B. McFadden, committee, there were four ·special sessions of selected John C. Meakin, Mohan S. Putcha, M. Rajagopalan, twenty-minute papers. The topics of these special and Boris M. Schein. sessions, the names of the organizers, and the lists of speakers were: Finite geometries and related topics, JONA­ THAN I. HALL, Michigan State University. The Mathematical biology, FRANK C. HOPPEN­ speakers were , Eiichi Bannai, STEADT, University of Utah. The speakers were Aiden A. Bruen, Robert Calderbank, Bruce N. Mimmo Iannelli, James P. Keener, Marc Mangel, Cooperstein, Marshall Hall, Jr., John L. Hayden, Garrett M. Odell, Richard E. Plant, and S. Tavare. D. G. Higman, William M. Kantor, Geoffrey Mason, Partial differential equations and differential Mark A. Ronan, H. J. Ryser, Ernest E. Shult, geometry, PETER LI, Stanford University. The Stephen D. Smith, Alan P. Sprague, David B. speakers were Thomas P. Branson, Shiu-Yuen Cheng, Surowski, Joseph A. Thas, J. H. van Lint, Harold N. Theodore Frankel, R. E. Greene, Robert Osserman, Ward, and Richard M. Weiss. Walter Seaman, Andrejs Treibergs, and Paul Yang. Geometry of foliations, PHILIPPE M. TON­ Algebraic geometry, KENT MORRISON, Califor­ DEUR, University of Illinois, Urbana-Champaign. nia Polytechnic State University. The speakers were The speakers were Robert A. Blumenthal, Lawrence Susan L. Addington, James A. Carlson, Richard Conlon, T. Duchamp, Richard H. Escobales, Jr., Her­ Crew, Goro C. Kato, James R. King, William E. man Gluck, James L. Heitsch, Steven Hurder, David Lang, and .Robert Varley. L. Johnson, Franz W. Kamber, Connor Lazarov, Systems theqry, CHEN-HAN SUNG, University Albert Marden, and Jack Ucci. of California, Santa Barbara. The speakers were Classical complex analysis, ALLEN W. John Guckenheimer, J. William Helton, Thomas WEITSMAN, Purdue University, West Lafayette. Kailath, Arthur J. Krener, Nhan Levan, Ruey-Wen The speakers were Albert Baernstein II, James E. Liu, E. Polak, Richard Saeks, Leonard M. Silverman, Brennan, Barbara A. Brown, Johnny E. Brown, Chen-Han Sung, Y. S. Tang, and F. F. Wu. David Drasin, Albert Edrei, F. W. Gehring, Robert Contributed Papers. There was one session Kaufman, Peter Lappan, A. Marden, David Minda, of contributed ten-minute papers of eight speakers. G. Piranian, Richard Rochberg, Lee A. Rubel, Daniel This session was chaired by R. Mendez of the Naval F. Shea, Kenneth Stephenson, Carl Sundberg, D. Postgraduate School. Wright, and Jang-Mei Wu. Other Events. The SIAM program included Contributed Papers. There was also one session an hour address by Peter C. C. Wang entitled of four contributed ten-minute papers, at which Joel Engineering data handling systems and solid H. Shapiro presided. modeling. There also was an informal one-hour address by Paul T. Bateman Joseph B. Keller of Stanford University, jointly Urbana, Illinois Associate Secretary sponsored by both societies. His talk was entitled Rambling through applied mathematics. The November Meeting in Monterey Hugo Rossi Salt Lake City, Utah Associate Secretary The eight hundredth meeting of the American Mathematical Society was held at the Naval

230 The Annual Meeting in Denver The Council reaffirmed that the purpose of discounts to individuals on books and journals is The report of the mathematical portion of this a discount to individuals and not an alternative meeting will appear in a later issue of the Notices. means of lowering costs to libraries. Council Meeting The Council received the report of the Tellers in the election of 1982. The Council received the report The Council met in the Zephyr Room of the of the Tellers in the Election to the Nominating Executive Tower Inn in Denver on 4 January 1983 at Committee. The results are given below. 2:10 p.m. President Robinson was in the chair. The Editorial Committees and Editors of the Business Meeting Zentralblatt fur Mathematik and Mathematical The Business Meeting was held in the Theatre of Reviews have been conducting explorations into the Denver Convention Center on 6 January 1983 at cooperation between the two journals. These 5:00 p.m. following the award of the Birkhoff Prize. explorations have reached the point that the The Secretary reported on the scope of the activity Mathematical Commission, which is in charge of of the Society in meetings and in publication during the Zentralblatt, and the Council of this Society have 1982. He emphasized that it is the existence and approved statements of principle directed toward function of the Society that facilitate the freely offered cooperation with a view toward possible eventual efforts of organizers, speakers, authors, referees, and merger. The Secretary notes that there are many editors to make meetings and publication possible. steps to be taken and problems to be resolved to The Secretary reported on the actions of the achieve this end and that the ultimate decision for Council noted above. the Society lies with the Trustees. Professor Peter Lax offered a motion of thanks to The Council was informed that Karl Hofmann the Committee on Arrangements, which was approved had resigned from his position as member of the by acclamation. Committee to Monitor Problems in Communication. The Council, subject to approval by the Trustees, The meeting adjourned at 5:15 p.m. elected Marian B. Pour-EI to fill the remainder of the Everett Pitcher term. Bethlehem, Pennsylvania Secretary The Council elected three persons to the Editorial Committee of the Notices, namely Paul F. Baum Election Results of 1982 Raymond L. Johnson Daniel Zelinsky The newly elected Vice-President of the Society is The Council considered problems related to Calvin C. Moore. The newly elected Members-at­ Circular A-21 of the Office of Management and Large of the Council are Peter L. Duren, Susan J. Budget, titled Cost Principles for Educational Friedlander, Robin Hartshorne, Michael Shub, and Institutions. The particular issue of concern is Olga Taussky-Todd. the PAR form~that is, Personal Activity Report, Frederick W. Gehring was elected to the position the current equivalent jargon for the enterprise once of Trustee. All candidates in noncontested elections called Time and Effort Report. The PAR form has were elected to their respective offices. been judged, at a minimum, to be meaningless and The candidates elected to the Nominating Com­ other more serious deficiencies have been ascribed mittee of 1983-1984 are Linda Keen, 0. Carruth to it by more severe critics. The Council passed a McGehee, Wolfgang M. Schmidt, and James D. resolution as follows: Stasheff. The composition of the Council for 1983 The Council of the American Mathematical follows. Names of persons elected in 1982 are marked Society has learned with dismay of continued with an asterisk. problems that arise because of the effort report requirements of Circular A-21. Auditors have COUNCIL FOR 1983 disallowed funds when effort reports have been President: Julia B. Robinson missing; and in some cases they have also Ex-President: Andrew M. Gleason disallowed funds despite professors signing the Vice-Presidents: forms, which were meaningless and could not be Calvin C. Moore* substantiated. Elias M. Stein Therefore the Council recommends that alterna­ Secretary: Everett Pitcher* tive methods be explored, for example, that now Associate Secretaries: Paul T. Bateman being used by Stanford University, in order that Frank T. Birtel* individual faculty members need not sign PAR W. Wistar Comfort* forms. It is reasonable to provide a simple Hugo Rossi certification for direct costs like summer salary, Treasurer: Franklin P. Peterson* for instance: Associate Treasurer: Steve Armentrout* I certify (or confirm) that the personnel charges allocable as direct costs of the sponsored agreement are appropriate.

231 MEMBERS-AT-LARGE summarily some years previously for his alleged refusal to return to his duties in a timely fashion. Donald L. Burkholder Linda Keen This much later the contours of the original dispute Peter L. Duren* Robert P. Langlands are difficult to reconstruct; however, Professor Tamari Peter A. Fillmore 0. Carruth McGehee did win his case in a binding arbitration and his Susan J. Friedlander* M. Susan Montgomery reinstatement as if he had not been absent was called Paul R. Halmos Paul J. Sally, Jr. for. Robin Hartshorne* Michael Shub* Melvin Hochster Hector J. Sussman His appeals for the support of the international Alan J. Hoffman Olga Taussky-Todd* mathematical community were answered by mathe­ maticians in the United States as well as by our COMMUNICATIONS COMMITTEE colleagues in many other countries. It was his case Chairman, Committee to Monitor Problems in which led to the establishment of the AMS Com­ Communication: W. Wistar Comfort mittee on Academic Freedom, Tenure and Employ­ ment Security (CAFTES). When it became apparent PUBLICATIONS COMMITTEES that the Technion was balking at the implementation Bulletin Editorial Committee of the arbitrator's award, which had been upheld by the Israeli labor courts, Paul Mostert, then chair of Felix E. Browder Calvin C. Moore CAFTES, wrote to General (Res.) Amos Horev, then Meyer Jerison* and now president of the Technion, expressing the Colloquium Editorial Committee committee's concern. In a letter of November 18, John W. Milnor 1973, General Horev assured him that the Technion Louis Nirenberg* intended to comply fully with the terms of the deci­ Proceedings Editorial Committee sion. The actions of the international mathematical Thomas H. Brylawski Reinhard E. Schultz community evidently were successful. David M. Goldschmidt George R. Sell* Professor Tamari did return to the Technion. William E. Kirwan II J. Jerry Uhl, Jr. However, he soon developed severe health problems, David J. Lutzer which he contends were related to living conditions Transactions and Memoirs Editorial Committee for which the institution was responsible. Be that as it may, Professor Tamari then returned to the United Donald L. Burkholder* Linda Preiss Rothschild* States for treatment. There is a letter dated May William B. Johnson Lance W. Small* 19, 1975, from General Horev to Professor Tamari Jan Mycielski Joel A. Smaller inquiring about the "time of his return to Haifa, which Walter David Neumann seems to imply that permission had been given for Mathematical Reviews Editorial Committee a leave for medical treatment. Nevertheless, the Robert G. Bartle* Carl M. Pearcy Technion now contends that something about that Morton Lowengrub trip constituted a resignation, as of January 1, 1975, Mathematical Surveys Editorial Committee thus ending all of the institution's obligations to Donald W. Anderson R. 0. Wells, Jr.* Professor Tamari. Jane Cronin Scanlon This is a grave matter because although Professor Mathematics of Computation Editorial Tamari, in his absence from the Technion, taught Committee at other institutions, primarily SUNY Buffalo, he James H. Bramble Daniel Shanks has acquired only very limited pension benefits from Morris Newman Hugh C. Williams* these relatively short periods df employment. On the other hand, as a retiree from the Technion he would AMS Representatives, Board of Editors of American Journal of Mathematics be entitled to substantial social welfare benefits; his service to Israel encompasses not only a distinguished Spencer Bloch* Victor W. Guillemin career in research and teaching but military service and imprisonment by the British for his activities on Report from CAFTES behalf of the independence movement. EDITOR'S NOTE. The following report from the In a series of court actions reflecting the difficulties Society's Committee on Academic Freedom, Tenure of defending against action in a foreign forum while and Employment Security (CAFTES) was presented having to earn one's living in the United States, as to the Council at its meeting in Denver, January 4, well as the difficulties inherent in fighting a public 1983. The Council accepted the report and approved institution with essentially unlimited resources, in its publication in the Notices. spite of his enormous efforts and expenses, Professor Tamari appears to have lost his last legal appeal, In the Matter of Dov Tamari in December 1980, against a decision declaring his A decade or more ago there came before the connection with the Technion to be at an end. Council of the American Mathematical Society an In this latest series of actions Professor Tamari urgent appeal for the assitance of the mathematical has appealed again to CAFTES. The committee community. Dov Tamari, of the Technion-Israel has written to General Horev asking for comment or Institute of Technology, Haifa, had been dismissed action. His latest response is to the effect that the

232 matter is closed and there is no point in reopening contact Professor Tamari (address: 175 West 76th the discussion. Street, New York, NY 10023) or, even better, General This case is particularly poignant and difficult Horev, President of the Technion (address: Technion­ to understand, as a colleague is being deprived, at Israel Institute of Technology, Office of the President, retirement age, of important benefits which come from Technion City, Haifa 32000, Israel). the government rather than the academic institution. Members of the AMS Committee on Academic Professor Tamari's current recourse appears to be Freedom, Tenure and Employment Security at the only the revived indignation of the mathematical time were: Fred G. Brauer, Lewis A. Coburn, Martin community. For various reasons this account has D. Davis, James E. Joseph, Calvin C. Moore, and been brief; should you want more information before Arlan B. Ramsay, chairman. making an appeal on his behalf, we suggest that you

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POSITIONS AVAILABLE Mathematical Sciences VIRGINIA COMMONWEALTH UNIVERSITY LAMAR UNIVERSITY Two tenure-track positions at the Assistant Professor level. Position 1: Ph.D. in mathematics. Position 2: Ph.D. MATHEMATICS DEPARTMENT HEAD in applied mathematics; preference for individual with in­ Ph.D. in Mathematics or Mathematical Sciences: Record of terest in partial differential equations, integral equations, or professional accomplishments. Send vita and three references boundary value problems. to: Mary Katherine Bell, Chairman, The Search Committee, Excellence in teaching, continuing interest in research Department of Mathematics, P.O. Box 10047, Beaumont, expected. Department offers B.S. and M.S. degrees in Math­ Texas 77710. An Equal Opportunity/Affirmative Action ematical Sciences with tracks in Applied Mathematics, Com­ Employer. puter Science, Mathematics, Operations Research, and Sta­ tistics. Send vita and names of three references to William E. MIAMI UNIVERSITY Haver, Chairman, Department of Mathematical Sciences, The department of mathematics and statistics, Miami Virginia Commonwealth University, Richmond, VA 23284. University, Oxford, Ohio, has two tenure-track positions Attention: james A. Wood (for position 1); I. A. Koutrou­ available beginning in August 1983. The first is an assistant velis (for position 2). AA/EOE. professorship in statistics on the Oxford campus. Normally, duties include teaching 7-9 hours per semester of under­ Texas A&M University graduate and graduate statistics courses, continuing research, and serving on departmental committees. Qualifications in­ Several openings for 1983-1984 at all levels. Teaching clude a Ph.D. in statistics and a demonstrated aptitude in and Research. All areas considered. Tenure-track positions teaching and research. An interest in statistical applications require permanent residence or U.S. citizenship. Send vita, would be desirable. The second is an assistant professorship three letters of recommendation, reprints to Professor H. E. in mathematics, statistics, or mathematics education on the Lacey, Head, Department of Mathematics, Texas A&M Uni­ Hamilton campus. Duties include teaching an average of versity, College Station, Texas 77843. AN EQUAL OPPOR­ 12 hours per semester of undergraduate courses, committee TUNITY THROUGH AFFIRMATIVE ACTIONS EMPLOYER. service, and scholarly publication. Qualifications include a doctoral degree in mathematics, statistics, or mathematics MATHEMATICS: The Virginia Military Institute, a state education, demonstrated ability in teaching, and interest in supported undergraduate college, anticipates an opening at scholarly publication. ABD candidates may be considered the instructor or assistant professor level in the Department for an instructorship. of Mathematics in August 1983. The applicant should have To apply for one of these positions, send vita, graduate a strong interest in teaching undergraduates in a military transcript, and three letters of recommendation to D. j. college environment; computer experience desirable. Send Lutzer, Department of Mathematics and Statistics, Miami your resume by March 31, 1983 to Department of Mathe­ University, Oxford, Ohio 45056, by February 15, 1983 matics, The Virginia Military Institute, Lexington, VA (late applications may be considered). Miami is an AA/EEO 24450. employer. AA/EEO

233 POSITIONS AVAILABLE COLUMBIA UNIVERSITY Department of Computer Science POSITION IN OPERATIONS RESEARCH Lectureships Positions as lecturer or senior lecturer will be offered to The Mathematical Sciences Department of Rice University excellent teachers with superior academic backgrounds. expects to have a position in Operations Research available Faculty of all ranks in other disciplines, as well as computer beginning Fall, 1983. Although the position is expected to science, arc encouraged to apply for these non-tenured term be at a senior level, applications at all levels are invited. appointments, whose duration will typically be 3 to 6 years. Primary duties include providing leadership in teaching, Pay is comparable to professorial levels. research, and direction of graduate students in the depart· These lectureships provide an opportunity for teacher/ ment's Operations Research program. The department cur· scholars with some substantial prior computing experience rently has responsibilities in the areas of computer science, to make a transition to computer science. Columbia Uni­ numerical analysis, operations research, probability, statistics, versity has an outstanding young research faculty and fa­ and physical mathematics and biomathematics. The depart· cilities. A five""lllillion dollar office and research-laboratory ment has an active uridergrad uate and graduate program in building is now nearly completed. Lecturers will be en­ these areas. If interested, please send resume and names of couraged to participate fully in departmental activities. four references to Professor Richard Tapia Lecturers will teach two undergraduate courses each Chairman, Mathematical Sciences Dept. semester. They must be able to make highly effective Rice University presentations to large classes. The University has several P.O. Box 1892 DEC 2060 computer systems dedicated to instructional use. Houston, Texas 77251 Many terminals for students are in dormitories and other convenient locations. Knowledge of innovative uses of technology for teaching is desirable. Southwest Texas State University, San Marcos, Texas 78666. Send resume and names of three references to Professor Applications are invited for positions beginning Fall 1983: Jonathan L. Gross, Vice-Chairman, Department of Compu­ Assistant or Associate Professorships in Computer Science, ter Science, Columbia University, New York, NY 10027. tenure and non-tenure track. Applicants should have a Ph.D. Columbia University is an equal opportunity /affirmative in computer science (or closely related area) or extensive action employer. experience in computer science. Preference will be given to candidates in Computer Science Education. Responsibilities CASE WESTERN RESERVE UNIVERSITY include undergraduate and graduate teaching and curriculum development. Tenure-track positions to begin August 15, 1983. Out­ standing research record and/or proven research potential Assistant or Associate Professorships in Mathematics, tenure and teaching excellence required. Ranks and areas open and non-tenure track. Applicants should have a Ph.D. in although we do not expect more than one senior-level mathematics (or closely related area) and demonstrate poten· appointment. Statisticians and numerical analysts are espe­ tial for excellence in research and teaching. Preference will cially encouraged to apply. Send resume and letters of­ be given to candidates with research interests in number recommendation to Professor W. A. Woyczynski, Chairman, theory, quadratic forms, or mathematics education. Appli· Department of Mathematics and Statistics, Case Western cants in differential equations, operations research, and Reserve University, , Ohio 44106. geometric topology are also invited to apply. An affirmative action, equal opportunity employer. Instructorships, non-tenure track. Applicants should have an M.A. or equivalent in mathematics or computer science (or closely related area), and demonstrate excellence in teaching UNIVERSITY OF SOUTH CAROLINA, COLUMBIA or teaching potential, and be willing to participate in faculty seminars and committee projects. Substantial experience is Applications are invited for faculty positions in mathe­ desired for Computer Science applicants. matics and applied mathematics, starting Fall 1983. Ph.D. degree with strong research potential and dedication to Salary and rank commensurate with qualifications and exper· teaching at undergraduate and graduate level required. Can­ ience. Applications should be completed by February 15, ' didates should send vita and arrange for four letters of rec­ 1983 (late applications will be considered if openings exist). ommendation to be sent to Dr. William T. Trotter, Jr., Information concerning specific positions is available from Chairman, Department of Mathematics and Statistics, Uni­ Dr. John Spell mann, Chairman, Dept. Math/C. S. SWTSU is versity of South Carolina, Columbia, SC 29208. AA/EOE an Equal Opportunity/Affirmative Action Employer.

UNIVERSITY OF NEW BRUNSWICK VILLANOVA UNIVERSITY DEPARTMENT OF MATHEMATICS & STATISTICS ASSISTANT/ASSOCIATE PROFESSORSHIPS The Department of Mathematics ·and Statistics will have a AVAILABLE FALL 1983 tenure-track position for a statistician commencing July 1, Applications are invited for the position of Assistant or 1983. The appointment will be made at the rank of Assis· Associate Professor in Mathematical Sciences. Several ap­ tant Professor. The July 1, 1982 salary range is $24,359- pointments will be made for up to three years with the $34,613. The minimum qualification requirement is the possibility of tenure-track. Candidates should possess the Ph.D. Placement within the salary range will depend upon Ph.D. degree and have a strong interest in undergraduate academic qualifications and experience. Duties include and graduate teaching as well as mathematical research. Ex­ undergraduate teaching and research. Send an up-to-date pertise in computer science is preferred but not required. vita and the names of 3 referees to Dr. Gordon R. Mason, Applicants should send a n!sume and three letters of recom­ Chairman, Department of Mathematics and Statistics, Uni~ mendation to: versity of New Brunswick, P.O. Box 4400, Fredericton, Dr. Frederick W. Hartmann New Brunswick, Canada E3B 5A3. In accordance with Chairman Canadian immigration requirements this advertisement is Department of Mathematical Sciences directed to Canadian citizens and legal residents of Canada. Villanova University The University of New Brunswick does not discriminate in Villanova, PA 19085 employment on the basis of color, age, sex, race, religion Villanova University is an Equal Opportunity/Affirmative or national origin. Action Employer.

234 POSITIONS AVAILABLE University of Toronto Department of Mathematics Cumberland College, a four year, church-related liberal The Department of Mathematics, University of Toronto, arts college of approximately 1 ,800 students in the moun­ has an open tenure-stream position at the level of Associate tains of Eastern Kentucky invites applications for two Professor. A strong research record is required, as well as tenure-track positions at the assistant/associate professor evidence of excellence in teaching. The successful candidate level in mathematics and computer science. will be expected to continue an active career as a research Mathematics: Ph.D. required. Duties include teaching mathematician, and teach undergraduate and graduate upper level college mathematics. Experience in Computer courses. Salary negotiable. Effective date of appointment Science and college level teaching desired. july 1, 1983, subject to budgetary approval. Application Computer Science: Assistant Director of Computer should be made before April 2, 1983 to The Chairman, Services. Experience with BASIC, COBOL, FORTRAN is required. Duties include development and installation of Department of Mathematics, University of Toronto, college related software. Toronto, Canada, M5S 1 A1. In accordance with Canadian Salaries and fringe benefits are competitive. immigration requirements this advertisement is directed to Send application, letters of recommendation, and current Canadian citizens and landed immigrants. vita to: joseph E. Early Academic Dean The Department of Mathematics, University of Toronto Cumberland College has a contractually limited position for a two-year term Williamsburg, Kentucky 40769 open at the rank of Assistant Professor. The appointment commences july 1, 1983, and is subject to budgetary approval. A Ph.D. and evidence of excellence in research MATHEMATICS/COMPUTER SCIENCE and teaching are required. Duties will consist uf research ASSISTANT PROFESSOR and teaching. Salary commensurate with qualifications and CONNECTICUT COLLEGE is a very selective liberal arts experience. Applicants should submit a curriculum vitae and institution (1600 students). We expect to fill this regular arrange to have three letters of reference sent directly to position with a Ph.D. committed to teaching (3 courses per The Chairman, Department of Mathematics, University of semester) and scholarship. The teaching comprises intro­ Toronto, Toronto, Ontario, M5S 1 A 1 Canada. ductory and advanced computer science and mathematics. Closing date Our computer resources include a PRIME 55011 (48 lines) for applications is March 25, 1983. In accordance with and several micros. Send resunu! and 3 letters of recom­ Canadian immigration requirements, this advertisement is mendation to S. Wertheimer, Chairman, Mathematics De­ directed to Canadian citizens and permanent residents. partment, Box 1614, Connecticut College, New London, CT 06320. EO/AA MATHEMATICAL INSTITUTE A UNIVERSITY OF STUTTGART WEST GERMANY CHAJ RPERSON Opening for full professor in Applied Mathematics (chair DEPARTMENT OF MATHEMATICAL SCIENCES VI) starting fall 1983 or spring 1984. Candidates should MEMPHIS STATE UNIVERSITY be well-known in some applied field of mathematics. Pro­ Applications and nominations are invited for the position of fessional obligations include regular participation in the Chairperson of the Department of Mathematical Sciences, mathematics program for students of mathematics and of which houses the disciplines of Mathematics, Statistics, and engineering and physics. Applications, possibly not Computer Science. later than April 8, 1983, should be sent, together with cur­ Memphis State University is the multipurpose, comprehen­ riculum vitae and list of publications, to sive institution of the State University and Community College System of Tennessee, having an enrollment of approx­ Dekan der Fakultat 10: imately 20,000 and offering courses of study in sixty-four Mathematik und lnformatik major areas in six undergraduate colleges, a School of Law UNJVERSITAT STUTTGART and a School of Graduate Studies. Degrees through the Ph.D. Pfaffenwaldring 57 are offered. The University is located in an urban area D-7 000 Stuttgart 80 having a population of more than 900,000. Federal Republic of Germany The Chairperson is the chief administrative officer of the The University of Stuttgart is an equal opportunity Department and has responsibility for all aspects of the employer. Department's work. The candidate should have an earned Ph.D. in one of the mathematical sciences, a distinguished record of research, and a commitment to excellence in WESTERN WASHINGTON UNIVERSITY teaching. The applicant should have an interest in and know­ Bellingham, Washington 98225 ledge of administrative work and should give evidence of the skills needed to be an effective administrator. The Department of Mathematics and Computer Science of Western Washington University The 27-member department maintains an active research invites applications for a program and currently has 254 students. During the past one-year Visiting Appointment in mathematics (subject to two years, 110 degrees were awarded from B.S. through Ph.D. the availability of funds). Rank and salary are open and Applications and r.!sum~s, including three letters ~f reference depend on the qualifications of the applicant. Master's and two recent reprints, should be sent by April 15, 1983 to: degree required, Ph.D. preferred. We are especially inter­ Dr. Cecil C. Rousseau ested in a Mathematics Education background. Applicants Department of Mathematical Sciences should send vita and three letters of recommendation to Memphis State University Richard Levin, Chairman, Department of Mathematics/ Memphis, Tennessee 38152 Composition Science, WWU, Bellingham, WA 98225. Dead­ MEMPHIS STATE UNIVERSITY IS AN EQUAL OPPOR­ line for applications is April 15, 1983. WWU is an equal TUNITY EMPLOYER opportunity, affirmative action employer.

235 POSITIONS AVAILABLE RICE UNIVERSITY Senior position in analysis, applied mathematics, geometry, SOUTHERN TECHNICAL INSTITUTE expects to fill or topology. several tenure-track positions in Mathematics for Fall 1983. Contact: Chairman, Appointments Committee Duties consist of teaching approximately 15 hours, primarily Mathematics Department of lower division courses, together with committee service Rice University and other usual faculty obligations. P. 0. Box 1892 M.S. Mathematics required; Ph.D. is preferred, and ten­ Houston, Texas 77251 ure without the Ph.D. is extremely unlikely. Applicants with relevant experience in technology will be preferred. CARLETON COLLEGE DEPARTMENT OF MATHEMATICS Examination of applications will begin on 28 February, NORTHFIELD, MN 55057 but new applications will be considered until the positions One-year position at the instructor/assistant professor are filled. level is available September 1983. Candidates should have a Applications and inquiries should be sent to: strong interest in teaching and working with undergraduates. S. A. Stricklen, Jr. Send resume and three letters of reference by April 1, 1983 Head, Mathematics Department to Steve Galovich, Department of Mathematics, Carleton 1112 Clay Street College, Northfield, MN 55057. Carleton College is an Equal Marietta, Georgia 30060 Opportunity/Affirmative Action Employer. Southern Technical Institute is an Equal Opportunity/ Computer Science: Grinnell College recognizes the growing Affirmative Action Employer. need for a liberally educated person to understand compu­ ting. Through recent acceptance of major grants from the CHAIRMAN Sloan and Mellon foundations and a special 2.2 million dollar DEPARTMENT OF MATHEMATICAL SCIENCES grant by its Trustees, Grinnell has dedicated itself to a The University of North Carolina at Wilmington invites major effort in continuing to develop its academic program applications for the position of Chairman of the Department and the supporting computing facilities. To further support of Mathematical Sciences. The department offers under­ this effort a position as Lecturer and Coordinator of Sum­ graduate degrees in pure and applied mathematics and in mer Computing Programs has been created. Preference will be given to persons with a Ph .D. in Computer Science, or a computer science, and courses in statistics. Minimal qualifi­ Ph.D. in a related field and a Master's or its equivalent in cations are: an earned doctorate in one of these areas, pro­ Computer Science. This position emphasizes teaching with fessional experience in more than one of these areas, and a academic year responsibilities involving a full complement record of teaching excellence and scholarship to qualify for of undergraduate courses through the Mathematics Depart­ the rank of Associate Professor. Administrative experience ment and the Computer Studies Concentration. Summer desirable. Applications received by March 15, 1983, are responsibilities include program development and instruction. guaranteed consideration. Submit application, resume, tran­ Salary is commensurate with experience. Resumes and names scripts, and at least three letters of reference to Dr. Dargan of references should be sent to Emily Moore, Coordinator of Frierson, Search Committee, Department of Mathematical Computer Curriculum, Grinnell College, Grinnell, lA 50112, by March 15, 1983. An equal-opportunity/affirmative-action Sciences, UNC-W, Wilmington, NC 28406. An Affirmative employer. Action Equal Opportunity Employer.

COLLEGE OF CHARLESTON FACULTY POSITION AVAILABLE Department of Mathematics, Charleston, SC 29424 LAMAR UNIVERSITY ASSISTANT/ASSOCIATE PROFESSORS. Ph.D. in Mathematics or Mathematical Sciences: emphasis Two tenure-track positions, available 8-22-83. Teaching in a on teaching, research, or computer assisted instruction. Send liberal arts, state-supported institution of 5000 students vita to: Dr. M. A. Laidacker, Department of Mathematics, located in downtown Charleston, S.C. Requirements: P.O. Box 10047, Beaumont, Texas 77710. An Equal Ph.D. in mathematics or related field, strong commitment Opportunity Employer. to undergraduate instruction and serious interest in contin­ FLORIDA INTERNATIONAL UNIVERSITY uing research. The College of Charleston is an Affirmative MIAMI, FLORIDA Action and Equal Opportunity Employer and specifically encourages applications from women and minorities. The The Department of Mathematical Sciences anticipates having salary depends on experience and is competitive in the several tenure-track positions at the level of Assistant Profes­ national market. Please send a vita and three letters of sor starting in August 1983. Candidates should possess Ph.D. recommendation to Professor W. L Golightly, Chairman. degree in Mathematics. Duties include teaching at the under­ graduate and beginning graduate level, research and service. FLORIDA INTERNATIONAL UNIVERSITY Evidence of teaching ability and research potential is desir­ ASSISTANT PROFESSOR able. Preferred areas of specialization are in combinatorics, Tenure-track position for an Assistant Professor of Applied mathematical logic/recursion theory, numerical methods, Statistics in the Department of Mathematical Sciences. probability or algebra. Qualified candidates in other areas Duties include undergraduate and graduate teaching, research will be considered. Salary is competitive. Applicants should and University service. Send resume and three letters of send vitae and three letters of reference to: recommendation to: Professor Robert C. Fisher Dr. Toby S. Berk, Chairperson Department of Mathematical Sciences Department of Mathematical Sciences Florida International University Florida International University Tamiami Campus, Miami, FL 33199 Tamiami Campus, Miami, FL 33199 Florida International University is a member of the State FlU is a member of the State of Florida University System University System of Florida and is an Affirmative Action/ and is an Affirmative Action/Equal Opportunity Employer. Equal Opportunity Employer.

236 POSITIONS AVAILABLE Brigham Young University Provo, Utah 84602 Assistant Professor. Applied Mathematics/Computer Science. The Department of Mathematics invites applications for a Full·time tenure-track position available September 1983. position at the rank of assistant professor. Applicants should Ph.D. in Computer Science or related field. Ph.D. Candidates be at least four years beyond their Ph.D., have a strong will be considered. Teaching experience preferred. The suc­ record of published research in the area of number theory, cessful candidate is expected to teach undergraduate courses and a demonstrated record of excellent teaching. Further, in computer science as well as continuing research in com­ candidates should be aware that employees of the university puter science. are expected to abide by the code of conduct of the span· Deadline: March 15, 1983 soring institution. Applications should be sent to Peter Send resume and 3 recommendations to: Crawley, Department of Mathematics, Brigham Young Uni· Chairman versity, Provo, Utah 84602. Brigham Young University is an Division of Science & Mathematics Equal Opportunity/ Affirmative Action Employer. Fordham University College at Lincoln Center University of Toledo 113 West 60th Street Department of Mathematics New York, NY 10023 Toledo, Ohio 43606 AA/EEO M/F/H/V EMPLOYER The Department of Mathematics invites applications for a tenure-track position which will be available beginning in Mathematics: Tenure-track positions in one or more of the September 1983. Although there is a preference for a person following areas: Assistant or Associate Professor ($20,868- in applied mathematics, candidates in all areas will be con· 26,316, academic year, dependent upon qualifications). sidered. Applicants should have a Ph.D. (or have completed OPERATIONS RESEARCH. Ph.D. in Operations Research the Ph.D. by the Fall of 1983) and be committed to both or equivalent area. Evidence of interest in industrial applica­ teaching and research. Applicants should send a resume and tions of mathematics, and demonstrated potential for doing arrange for three letters of reference to be sent to Harvey research required. Courses include: Mathematics of opera­ Wolff, Chairman, Department of Mathematics, Univer>ity of tions research, mathematical modeling, graphs and network Toledo, Toledo, Ohio 43606. The University of Toledo is an flow. Teaching experience desirable. equal opportunity, affirmative action employer. COMPUTATIONAL MATHEMATICS or NUMERICAL ANALYSIS. Ph.D. in Mathematics with dissertation in Sabbatical Pool computational mathematics or numerical analysis required. One-year appointments in mathematics. Ph.D. or equiva­ Evidence of interest in industrial applications of computa­ lent training and experience is required. All professional tional mathematics and demonstrated potential for doing research required. Courses include: Numerical analysis, ranks will be considered. The visiting rank will be the same numerical methods in linear algebra, and differential equa­ as the person's rank at the home institution. Preference tions. Teaching experience desirable. will be given to those applicants who augment areas of cur­ APPLIED PROBABILITY. Ph.D. with dissertation in proba­ rent research activity in the department, and to those with bility with strong emphasis on applications required. Evi­ expertise to meet specific instructional needs. Either full­ dence of interest in real·world applications of probability, or part-time appointment can be arranged. Full-time duties and the potential for doing research required. Courses in· include teaching six to eight class hours per week. Closing elude: Discrete probability models, applied probability date is March 15, 1983. theory, stochastic processes, queueing theory and applica· Write to: Dr. R. M. Schori, Chairman tions. Teaching experience desirable. Department of Mathematics MATHEMATICS EDUCATION: Ph.D. in Mathematics or Oregon State University Mathematics Education, college teaching and ability to Corvallis, OR 97331-4605 coordinate department programs in elementary and/or secondary mathematics education required. Attn: Staff Selection Committee Deadline for applications: April 15, 1983. Applications must Oregon State University is an Affirmative Action/Equal include completed application form, resume, three letters of Opportunity Employer and complies with Section 504 of reference, and confirmation of highest degree. Apply to: the Rehabilitation Act of 1973. The Search Committee (specify position) Mathematics Department FACULTY POSITION IN COMPUTER SCIENCE California State Polytechnic University, Pomona Applications are invited for a tenure-track position at the 3801 West Temple Avenue Assistant Professor level in Computer Science, beginning Pomona, California 91768 with the 1983-1984 academic year. Applicants must have a Cal Poly Pomona is an equal opportunity /affirmative action, Ph.D. in Computer Science (prior to accepting duties) and Title IX, 504 employer. Women, minorities, and disabled a commitment to teaching and research. Candidates from persons are encouraged to apply. all areas of computer science will be considered. The Computer Science program at Riverside is housed in UNIVERSITY OF WISCONSIN-MADISON the well-established Department of Mathematics, which MATHEMATICS DEPARTMENT offers bachelor's, master's, and doctoral degrees. The de· 223 VAN VLECK HALL, MADISON, WI 53706 partment offers B.S. and M.S. degrees in Computer Science. The Department of Mathematics solicits applications from To apply, send resume with names of three references to: applied mathematicians of established excellence with a Professor Taymoor Arshi specialty in continuum mechanics for a possible tenure­ Chair, Search Committee track appointment commencing in the Fall of 1983. Appli­ Department of Mathematics cations should be sent no later than February 28, 1983 to University of California Professor j. Marshall Osborn, Chairman, Department of Riverside, CA 92521 Mathematics (address above). The University of Wisconsin The University of California is an Equal Opportunity I is an Equal Opportunity Employer. Affirmative Action Employer.

237 POSITIONS AVAILABLE Department of Mathematics University of Alabama in Birmingham DEPARTMENT HEAD A tenure-track position for Fall 1983. Candidates must have DEPARTMENT OF MATHEMATICAL SCIENCES an established record of quality research and be able to en· Purdue University Calumet is seeking a Department Head for hance the current research efforts of the department. Depart· the Department of Mathematical Sciences. The successful ment members are currently active in algebra, applied mathe· applicant will have a doctorate in Mathematics, Statistics or matics, ordinary and partial differential equations and point Computer Science, will have established a successful record set topology. Appointments will be made at the rank uf in teaching and research, and will be qualified for appoint· assistant professor, associate professor or professor, depending ment as Professor or Associate Professor of Mathematical on qualifications and experience. Salary negotiable. Appli· Sciences. He or she should have established the administra· cants should send letter of application, vita and three letters tive and interpersonal skills necessary to serve as Head of a of reference to Professor Lou is Dale, Mathematics Depart· Department with twenty faculty members and offering ment, University of Alabama in Birmingham, Birmingham, Baccalaureate and Master's Degree Programs. A background AL 35294. UAB is an Affirmative Action/Equal Opportunity in applied mathematics or computer science is preferred. Employer. Duties of the position include administration of the matters of the Department, teaching appropriate courses and leading Assistant Professor the continuing development of programs in applied mathe· Southern Methodist University matics and computer science. Salary for the position is open The Department of Mathematics at Southern Methodist and competitive, based on a twelve-month appointment. University seeks an assistant professor, tenure-track, beginning Other benefits include participation in TIAA/CREF and an August, 1983. The department offers a Ph.D. in applied opportunity to participate in life and health insurance pro· mathematics, and candidates are sought with a research grams. specialty in applied mathematics, broadly defined, or who This campus is a commuter campus in the Purdue University are in an area that can support an applied group. Effective system. It serves nearly eight thousand students in North· teaching and strong potential in research arc expected. western Indiana and the greater Chicago area. Applicants should send a vita and the names of three A completed application will include a letter of application, references to George Reddien, Chairman, Department of official transcripts, a current resume and the names of three Mathematics, Southern Methodist University, Dallas, TX references. The deadline for application is April 1, 1983. 75275. Responses should be sent to: Equal Opportunity/ Affirmative Action Employer Professor C. M. Murphy, Chairperson Department Head Selection Advisory Committee Department of Mathematical Sciences DEPARTMENT OF MATHEMATICS Purdue University Calumet COLORADO STATE UNIVERSITY Hammond, Indiana 46323 FORT COLLINS, COLORADO 80523 Purdue University Calumet is an Equal Access/ Tenure-track position, assistant or associate professor, spe· Equal Opportunity University. cialization in applied mathematics, numerical analysis, or optimization preferred, salary commensurate with qualifica· CASE WESTERN RESERVE UNIVERSITY tions; Ph.D., potential for excellence in research, and com· Openings anticipated for Visiting Faculty, beginning mitment to teaching required. Send resume and three letters August 1983. Teaching experience and evidence of research of reference to R. E. Gaines, Head. Applications received by ability required. Preference will be given to those with re· February 15, 1983, will be given full consideration. Position search interest in the areas represented in the department: Available: August 20, 1983. CSU is an EEO/AA employer. geometry, control dynamical systems, probability, differential E. 0. Office: 314 Student Services Building theory, algebra, statistics, numerical methods for pde. Appli· welcome. cants on sabbaticals UNIVERSITY OF CALIFORNIA An equal opportunity employer Department of Mathematics, Irvine, CA 92717 OCCIDENTAL COLLEGE, Department of Mathematics Position for an Assistant Professor in the Department of Los Angeles, California 90041 Mathematics. Duties involve undergraduate and graduate teaching. Research area: algebra or analysis in the broad Thr~e-year assistant professorship beginning September 1983. Preference given to candidates with a working knowledge cif sense (including mathematical physics and probability). statistics and data analysis. Teaching load: two courses (9 or Applicants must possess a Ph.D. Send applications, curricu· 10 hours per week). Salary about $20,000. Ph.D. required. lum vitae (work in print or preparation), a brief description Occidental College actively supports affirmative action; appli· of research plans, and three letters of recommendation. cations from ethnic minorities and women are encouraged. Appointment begins on July 1, 1983. U. C. Irvine is an Send resume and three letters of reference by March 15, Affirmative Action/Equal Opportunity Employer. 1983 to joan R. Moschovakis, Chair. AUSTIN PEAY STATE UNIVERSITY invites applications AMERICAN UNIVERSITY for two tenure-track positions at the Assistant or Associate Two tenure-track positions (1) Ass't. Prof. Ph.D. in mathe· Professor level in Computer Science and in Statistics or matics with strength in combinatorics, algebra, and compe· Applied Mathematics. Applicants with other mathematical tence in teaching computer science at undergraduate level. specialties will be considered. Candidates should have a doc· (2) Ass't. Prof. of computer science, Ph.D. in CS or related toral degree and a strong commitment to undergraduate field with strength in CS fundamentals. Both positions require teaching. Positions begin September 15, 1983. Application an interest in teaching and research. deadline is April 1 or until the positions are filled. Appli· Applications and references should be sent to: Basil Karin, cants should submit resume, transcripts, and three letters of Chair, Department of Mathematics, Statistics and Computer recommendation to W. G. Stokes, Chairman, Department of Science, American University, Washington, D. C. 20016. The Mathematics and Computer Science, Austin Peay State American University is an Equal Opportunity I Affirmative University, Clarksville, Tennessee 37040. Action Employer. ASPU is an Equal Opportunity I Affirmative Action Employer.

238 POSITIONS AVAILABLE

CALIFORNIA INSTITUTE OF TECHNOLOGY Department of Mathematics PROVOST'S FELLOWSHIP Pending budgetary approval, the Division of Physics, Mathe­ FOR matics and Astronomy of the California ·Institute of Tech­ nology expects during the next two years to make several GRADUATE STUDY IN MATHEMATICS appointments at the Assistant, Associate or Full Professor A fellowship granted by the provost's levels. Preferred areas of mathematics include algebraic office at Lehigh University will be available geometry, algebraic number theory, partial differential equa­ in 1983-84. The purpose of the fellowship tions, functional analysis, topology, and combinatorics. Applicants should write as soon as possible, but not later is to provide support for an outstanding than April 1, 1983 to Dr. W. A.). Luxemburg, California individual who will undertake graduate study Institute of Technology, Department of Mathematics 253-37, in the Department of Mathematics ( 10 credit Pasadena, California 91125, giving curriculum vitae, publica­ hours per semester) and serve as a mathe­ tion list, and a list of references. The California Institute of Technology is an Equal Opportunity Affirmative Action matics tutor to Lehigh undergraduates (20 Employer. hours per week). The fellowship carries a nine-month stipend of $6200, free tuition SITUATIONS WANTED (currently $4750), and free room and board (currently $2650). Minority candidates are Professor, math Ph.D., midcareer, seeks research or teach­ ing position for 1983-1984 in Northern California. Most encouraged to apply. For further informa­ publications in functional analysis. Current research in math­ tion and application forms, please contact ematical physics. Recent training in Computer Science. Exchange of teaching position or house in Boston area Professor B. K. Ghosh possible. Write to C-2, c/o February Classified, AMS. Department of Mathematics Lehigh University (Bldg. 14) FOR SALE Bethlehem, PA 18015 FOR SALE-First 50 volumes MR, bound; next 8 unbound; complete author indices through vol. 44, bound (eight volumes). Write to C-1, c/o january Classified, AMS •

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241 EDITORIAL MANAGER The Mathematical Association of America has an opening for an Editorial Manager (EM), at its headquarters in Washington, D.C., beginning July 1, 1983, or as soon as possible thereafter. The EM will supervise an editorial department responsible for copy editing and layout for three journals and several books per year. In addition to supervising 2-3 editorial assistants the EM will be expected to participate in the editorial process and work closely with journal editors and authors. Qualifications for this position include mathematical training to the master's degree level or beyond, demonstrated writing skills, and professional experience, or its equivalent, in editing mathematical manuscripts. Salary will be commensurate with the experience and training of the candidate. Applicants should send a curriculum vitae and should arrange to have three letters of recommendation sent directly to: Dr. Marcia P. Sward, Associate Director MATHEMATICAL ASSOCIATIOt-; OF AMERit:A 1529 Eighteenth Street, N.W. Washington, D.C. 20036

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How does a mathematician get The Whyburn and McConnell-Bernard Professorships from Pafnuty Lvovitch Tscheby­ in Mathematics scheff to the strange relationship UNIVERSITY OF VIRGINIA linking James Watt to a 1Oth cen­ The Gordon T. Whyburn Professorship of tury nun? Mathematics and Joseph M. McConnell and David M. Bernard Professorship of Mathe­ matics. Two chaired positions for mathema­ ticians with outstanding research and teach­ ing credentials. Applicants in probability/ Find out in statistics are especially encouraged. Submit vita and the names of references to Chairman, The Thread Chairman A Mathematical Yarn Department of Mathematics by Mathematics-Astronomy Building Cabell Drive PHILIP J. DAVIS University of Virginia coauthor of The Mathematical Experience Charlottesville, Virginia 22903 The University of Virginia is an Equal Feb. 1983 $12.95 112 pp. Opportunity /Affirmative Action Employer. (3-7643-3097 -X)

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242 DEPARTMENT OF MATHEMATICS & COMPUTER SCIENCE THE CITADEL Applications and nominations are invited for the position of Head of the Department of Mathematics and Computer Science. This department has 15 full-time faculty members and provides quality programs in mathematics and computer science for over 250 undergraduate students seeking one of three degrees: the B.S. in Mathematics, B.S. in Computer Science, or B. A. in Mathematics. The department participates in two Evening Programs: a pre-engineering program for undergraduates and an M.A. T. program with a major in mathematics. In addition to teaching six hours each semester, the Department Head is respon­ sible for all administrative matters related to the department and reports directly to the Vice President for Academic Affairs and Dean of the College. Qualifications include: Ph.D. in Mathematics, Computer Science, or Statistics; a record consistent with tenure-track appointment at full or associate professor level; dedication to quality teaching; evidence of professional and scholarly activities; and demonstrated capacity for administrative leadership. Salary for this appointment, to be effective in August, 1983, is competitive. The Citadel is a state-supported liberal arts military college, offering undergraduate degrees in the arts, sciences, engineering, education, and business administration. In the evening programs, the M.A. T., M. Ed., Ed. S., and M.B.A. degrees are offered. The Citadel's attractive campus is located in historical and cul­ tural Charleston, S. C., heart of an active and attractive metropolitan area of 400,000 on the Atlantic coast. To assure full consideration, applicants should suhmit letter of application, curriculum vitae, and the names and addresses of at least four references by March 15, 1983, to: Dr. D. Oliver Bowman Search Committee The Citadel Charleston, S. C. 29409 THE CITADEL IS AN EQUAL OPPORTUNITY/AFFIRMATIVE ACTION EMPLOYER

UN,V<-RS~~\~:~,OCR~~C~AROUNA _,lll TUTORIAL CONFERENCE r ON NEURAL MODELING 1 DEPARTMENT OF MATHEMATICS This conference will be a five day inten­ ! University Distinguished Professorship sive review and critique of neural models in I The Mathematics Department seeks to fill the l position of University Distinguished Professor of ~ relation to neurological and psychological \ Mathematics. Applications for this senior position I data. Principal speaker will be Prof. Stephen : are invited from outstanding research mathemati- j Grossberg, Center for Adaptive Systems, I cians. Nominations for suitable candidates are also 1 Boston University. Fourteen other distin­ I~ welcome. Although the Department has a particu- l guished researchers will discuss various 1 lar interest in the area of Partial Differential Equa- I models and relevant experimental results. l ~~nn;i;~t~st~~~~ts:;l~~=~~:n~~ ~:~~:~:~i:~ ~;:e=~~h ll The conference will be held April 11-15, ) couraged to apply. 1983, in Carefree, Arizona. It should be of I A successful applicant will be expected to gen- particular interest to researchers in psychol­ l erate activity and interact with faculty colleagues ogy, cognitive science and the neurosci­ I in the University. An established record of excel- l lence in research, demonstrated commitment to ences. A limit of thirty additional partici­ ~ teaching, and the ability to provide scientific lead- pants will be accepted. Applications from \ ership are required. women and members of minority groups I Send application including Curriculum Vitae are encouraged. For applications and infor­ l and names of at least three references to mation contact Peter R. Killeen, Depart­ I Chairman, Department of Mathematics l University of North Carolina ment of Psycho logy, Arizona State Univer­ l Chapel Hill, N.C. 27514 sity, Tempe, AZ 85287; 602-965-7156. I Applications will be accepted until the position is l filled. 1 UNC/CH is an Equal Opportunity/Affirmative 1 \ Action Employer. 1 ~t--~~~------1

243 LEIPZIG

TEUBNER-TEXTE zur Mathematik, New publications 1982

Equadoff 5 Proceedings of the Conference held in Bratislava, 1981 Edited by M. GREG US, Bratislava 396 pp. (Vol. 47). Boards. 39,- M Order No. 666 114 6 I Gregus, Equadiff 5 engl. H. HECKENDORFF, Kari-Marx-Stadt Grundlagen der sequentiel/en Statistik 168 pp. (Vol. 45). Boards. 18, - M Order No. 666 123 4 I Heckendorff, Stati$tik H. KURKE, Berlin Vorlesungen iJber algebraische Fl(ichen 204 pp. (Vol. 43). Boards. 19, - M Order No. 666 051 4 I Kurke, Flaechen Nonlinear Analysis, Function Spaces and Applications • Vol. 2 Proceedings of the Spring School held in Pisek, 1982 Edited by 0. JOHN and A. KUFNER, Prague 268 pp, (Vol. 49). Boards. 27,- M Order No. 666 124 2 I John, Analysis 2 engl. M. OBERGUGGENBERGER, lnnsbruck Der Graphensatz in lokalkonvexen topologischen Vektorraumen 148 pp. (Vol. 44). Boards. 15, 50 M Order No. 666 116 2 I Oberguggenberger, Graphen H. RENEL T, Halle Quasikonforme Abbildungen und e/liptische Systeme erster Ordung in der £bene 140 pp. (Vol. 46). Boards. 14, 50 M Order No. 666 117 0 I Renelt, Abbildungen T. SCHMIDT, Budapest A Survey on Congruence Lattice Representations 116 pp. (Vol. 42). Boards. 12,- M Order No. 666 118 9 I Schmidt, Lattice engl. Seminar D. Eisenbud/8. Singh/W. Vogel • Vol. 2 108 pp. (Vol. 48). Boards. 14, - M Order No. 666 119 7 I Eisenbud, Seminar 2 engl. V. M. TICHOMIROV, Moscow Grundprinzipien der Theorie dcr Extrema/aufgaben 152 pp. (V·;!. 30). Boards. 16,- M Order No. 666 001 2 I Tichomirow, Extremalaufg. General information and further details free on request from ((Signet)) BSB B. G. Teubner Verlagsgesellschaft DDR-7010 Leipzig, Postfach 930

244 From the UMO Press MATH SCIENCES (Faculty Position) Foundations of Semiological Theory of Numbers Full time, tenure track Assistant or Associ­ ate Professor of Mathematics, PhD in Mathe­ H. A. Pogorzelski and W. J. Ryan matics required. Established interest in ap­ plied or computational mathematics; good Contents of Volume One research achievement or potential; a record Chapter 0: Preliminaries of teaching excellence or versatility. Bene­ (Summary of Results) fits: Blue Cross, Blue Shield, major medical, group life, dental and optical, family tuition 0. Notation and Terminology waiver. Apply by letter with three letters of 1. Functions recommendation and undergraduate and 2. Terministic Functors graduate transcripts, by March 31, 1983. 3. Presemio1ogica1 Structures Position available for Fall, 1983. Contact: Chapter 1: General Semiology Dr. Frank Milliman, Chairperson, Math 1. Presemiological Spaces Sciences, Dept. MS-1 OA, WEST CHESTER 1. Presemiological structure STATE COLLEGE, West Chester, PA 19380. 2. Identified presemiological spaces An Equal Opportunity/ Affirmative Action 3. Retractive presemiological spaces Employer. Women and minorities are en­ 4. Zeroed prcsemiological spaces couraged to apply. 5. Inductive & Closed prcsemiological spaces 6. Regular Presemiological spaces 7. Unique resolution spaces 8. Ordered presemiological spaces 2. Presemiological Semicarrier Spaces 1. Subspaces 2. Neighborhoods 3. Morphisms 4. Presemiological semicarrier spaces MATH SCIENCES 5. Macrosemicarrier spaces 6. Microsemicarrier spaces (Faculty Positions) 7. Carrier spaces 8. Congruence and modular spaces Two full time, tenure track Computer Science positions for Fall, 1983. Rank and 3. Semisemiological Spaces salary depend on qualifications. MS in Com­ I. Semisemiological spaces 2. Finitely-based systems of numeration puter or Information Sciences, or a PhD 3. The Mayan system of numeration in a scientific discipline is desired. Business 4. Semiological Spaces or industrial experience desirable. Benefits: 1 . Semiological spaces Blue Cross, Blue Shield, major medical, 2. Free monoids group life, dental and optical, family tuition 3. Magmatical semiological spaces waiver. Apply by letter with three letters of 4. Semiological semicarrier and carrier spaces 5. Partitional semiological spaces recommendation, and undergraduate and 6. Dirichlet spaces graduate transcrirts, by March 31, 1983. List price $2 9. 95 Contact Dr. James D. Fabrey, Math Sci­ ISBN 0-89101-053-X ences, Dept. MS-10B, WEST CHESTER Ca. 597 p. [unpaged] STATE COLLEGE, West Chester, PA 19380. Order from: An Equal Opportunity/Affirmative Action The University of Maine at Orono Press Employer. Women and minorities are en­ University of Maine at Orono couraged to apply. Orono, Maine 04469

245 PUBLICA<;AO DA SBMAC E DA EDITORA CAMPUS Editor responsdve/: Carlos A. de Moura

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EDITORIAL POLICY Matemdtica Aplicada e Computacional (Computational and Applied Mathematics)-the Scientific Journal of the Brazilian Society for Computational and Applied Mathematics-publishes original works in any area of Applied Mathematics. Articles should contain relevant results, preferably leading to (or using) a computational approach. They should be complete mathematical papers and not merely list results obtained. In general, surveys will only be published if previously commissioned by the Editorial Board. · Each yearly volume of the journal will feature at least one Special Issue on Scientific Computing. This issue will be devoted to articles on heuristic procedures, numerical, non-numerical and statistical techniques designed to solve scientific and technological problems with the aid of computers. Implemen­ tation of those techniques should always be emphasized and, consequently, short notes containing interest­ ing computer experiments are suitable for publication, even when no theoretical proofs are presented. The Special Issues will also lean towards today's scientific problems related to our technological, economic and social environment. • Authors should prefer writing in English, in order to allow a better interaction with the interna- tional mathematical community. This will also give more options to the refereeing process yielding the maintenance of a high standard of quality for the journal. Whenever writing in Portuguese authors must avoid foreign terms. They should try to find precise equivalent forms to them, thus helping to improve the Portuguese technical vocabulary. · As a rule, papers will be analyzed by two experts, one of them, at least, from the Editorial Board. The final decision for publication or refusal will rest upon the Editor-in-Chief and the Associate Editors.

Editor Responsavel: Clovis C. Gonzaga, COPPE/UFRJ, Rio de Janeiro Carlos A. de Moura, LCC/CNPq, Rio de Janeiro Roland Glowinsky, Universite Paris VI, Fran~a Editores Associados: Amiram Harten, Tel-Aviv University, Israel Carlos S. Kubrusly, LCC/CNPq, Rio de Janeiro Karl H. HoffmaQ.n, Universitat Augsburg, Alemanha Marco A. Raupp, LCC/CNPq, Rio de Janeiro Jorge Ize, IIMAS-UNAM, Mexico Corpo Editorial: Milton L. Kelmanson, PUC/RJ, Rio de Janeiro Aloisio P. Araujo, IMPA/CNPq, Rio de Janeiro S6stenes L. S. Lins, UFPe, Recife Octavia Betancourt, Courant Institute, EUA Hermann Maurer, Technisch Universitat Graz, Jerry L. Bona, University of Chicago, EUA Austria Oscar Bustos, IMPA/CNPq, Rio de Janeiro Sean McKee, Oxford University, lnglaterra Guy Chavent, INRIA, Fran~a Leopolda Nachbin, IM/UFRJ, Rio de Janeiro Claude Do, Universite de Nantes, Fran~a Paulo J. Paes Leme, PUC/RJ, Rio de Janeiro Jim Douglas, Jr., University of Chicago, EUA Victor Pereyra, Universidad Central de Venezuela Raul Feij6o, LCC/CNPq, Rio de Janeiro Gustavo Perla-Menzala, IM/UFRJ, Rio de.Janeiro Djairo G. de Figueiredo, UnB, Brasilia Rubens Sampaio, PUC/RJ, Rio de Janeiro Michel Fremond, Lab. Central des Pants et Chaussees, Leon Sinay, LCC/CNPq, Rio de Janeiro Fran~a Mark Thompson, UFRGS, Porto Alegre Augusto C. Gadelha Vieira, LCC/CNPq, Rio de Janeiro Giovanni M. Troianiello, Universita di Roma, Italia Jose C. Gerome!, UNICAMP, Campinas Nelson do Valle Silva, LCC/CNPq, Rio de Janeiro Jerome A. Goldstein, Tulane University, EUA Richard B. Vinter, Imperial College, lnglaterra

246 ROOM RESERVATION FORM NEW YORK STATLER HOTEL

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248 Proceedings of the International Mathematical conference, Singapore 1981 edited by LOUIS H. Y. CHEN, TZE BENG NG second part includes a series of ten lectures given and M. J. WICKS by Professors Matsumura and Nagata on Commuta­ tive Algebra and Algebraic Geometry, and a further NORTH-HOLLAND MATHEMATICS STUDIES, 74 series of lectures on Brownian Functionals and This book contains written versions of lectures Markov Processes given by Professors Fukushima given at the conference held in Singapore, 1-13 and Hida. June 1981. The first part consists of lectures by 1982. xviii + 204 pages. ISBN 0-444-86510-1 invited speakers at the general conference. The Price: US $38.25/Dfl. 90.00 combinatorics '81 In honour of Beniamino Segre This work contains 76 articles, devoted to recent Proceedings of the International Conference on progress in the following topics: finite geometries Combinatorial Geometries and their Applications, (arcs, caps and special varieties in a Galois space; Rome, June 7-12, 1981 generalized quadrangles; Benz planes; foundation of geometry), design theory, finite groups, coding edited by A. BARLOTTI, P. V. CECCHERINI theory and graph theory in its geometric and design and G. TALLINI aspects. NORTH-HOLLAND MATHEMATICS STUDIES, 78 1983. x 824 pages. ISBN 0-444-86546-2 Annals of Discrete Mathematics (18) + Price: US $89.25/Dfl. 210.00 Editor: Peter L. Hammer Boundary value Problems in Queueing System Analysis by J. W. COHEN and 0. J. BOXMA of investigation of practical, important models arising in computer- and communication systems; NORTH-HOLLAND MATHEMATICS STUDIES, 79 • outline of the numerical evaluation of analytic results obtained by the new method. In summary, the main features of the work are: 1983. xii + 408 pages. ISBN 0-444·86567·5 • application of the Riemann-Hilbert technique to Price: US $42.50/Dfl. 100.00 the analysis of and queueing models; • new results for a number of a random walk and queueing models, and the initiation of a new field Topics in Functional Analysis over Valued Division Rings by JOAO B. PROLLA b) approximation of continuous functions, extending Kaplansky's Stone Weierstrass Theorem in NORTH-HOLLAND MATHEMATICS STUDIES, 77 several directions; Notas de Mathematica (89), c) best approximation in non-Archimedean normed Editor: Leopoldo Nachbin spaces using E. Michael's sections theorem as a tool. A variety of topics are covered in this book and new results in the following areas are included: Some classical material is also presented. a) topological vector spaces over valued division rings (bornological, barrelled and quasi-barrelled 1982. xvi + 302 pages. ISBN 0.444·86535-7 spaces); Price: US $42.50/Dfl. 100.00

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P.R. Halmos: Selecta approached problems as well as his clear. pedagogical style that made him one of the Volume 1: RESEARCH century's outstanding mathematicians. CONTRIBUTIONS 19831888 pp. I 14 ill us. I Cloth $42.00 Edited by D. Sarason and N. Friedman ISBN 0-387-90744-0 Volume II: EXPOSITORY WRITING Also by Loo-Keng Hua Edited by D. Sarason and L. Gillman INTRODUCTION TO NUMBER THEORY RESEARCH CONTRIBUTIONS. the first of 19821512 pp.! 14 ill us. I Cloth $46.00 the two volume set documents Halmos's ISBN 0-387-10818-1 outstanding research in operator and ergodic theories and probability. Two essays introduce the work. placing it in historical perspective. Pao-Lu Hsu: Collected Papers EXPOSITORY WRITING introduces a Edited by Kai Lai Chung different side of P.R. Halmos, revealing the Concentrating much of his research on teacher. the stylist. the educator. This book univariate and multivariate linear models and makes it clear that Halmos's interests its associated distribution theory. Pao-Lu Hsu transcend the normal perspective of a ( 1910 -1970) developed into one of the century's "professional" mathematics educator. as he most profound and original statisticians. This injects mathematical thought into every-day volume contains all of Hsu's work. many of life and explores the relationship between which were previously unavailable in the west. mathematics and the world. In addition. thi~ and portions of one paper that has never volume includes an insightful introduction and before been published. a transcript from a 1982 interview. ~: A Maverick Mathologist." 1982/589 pp./11 illus.IC'loth $48.00 ISBN 0-387-90725-4 Volume I 1982/458 pp. '5 ill us.; Cloth $32.00 ISBN 0-387-90755-6 Emmy N oether: Gesammelte Volume II Abhandlungen - Collected Papers 1982/304 pp./1 illus.iCloth $19.80 ISBN 0-387-90756-4 Edited by N. Jacobsen 1982 776 pp. Cloth $59.50 (tent.) Also by P.R. Halmos ISBN 0-387-11504-8 A HILBERT SPACE PROBLEM BOOK, 2nd Edition 0. Teichmiiller: Gesammelte 1982/369 pp./Cloth $28.00 Abhandlungen - Collected Papers ~ (Graduate Texts in Mathematics. Vol. 19) c 1.1.1 Q ISBN 0-387-90685-1 Edited by L.V. Ahlfors and N -.:1' ~ g ~ F. W. Gehring N ~ Ill Q N Loo-Keng Hua: Selected Papers 1982 1 751 pp. Cloth $44.70 ...J ISBN 0-387-10899-8 § < ii2 Edited by H. Halberstam u u~ z i= u As a testimonial to Loo-Keng Hua's Ill s:::: Ill < "Q remarkable mathematical achievements. LOO­ ~ -8 .. 1.1.1 ·;;;: :l KENG HUA: SELECTED PAPERS reflects To Order. Write: Ill :::t: ...0 c:: Hua's broad perspective in the subject. and ~ 1- a.. ~ SPRINGER-VERLAG NEW YORK ..:I includes some of his post-cultural revolution. < < 00~ !.!) u ~ -.:1' applications-oriented work. The careful se­ ~, Dept. S 6220 .r:. N &'., ... z 1,0 lectior of papers. along with the effective 1-..1 Box 241!5 ...... 0 < >< "'0 translations demonstrate the vigor in which he ~ Secaucus. N.J 07094 ..., u 0 Q. u ii2 QQ u 1.1.1 E ·;; 0 :I 0 ~ ..... z < ~ 0!: