James Maxwell - US grants

This project supports a three week mathematical research institute to be organized by the American Mathematical Society during the summer of 1988. The institute will be the thirty-sixth in a series planned with the purpose of bringing together a large group of mathematicians who are interested in a particular field of mathematical research. Emphasis is placed primarily on instruction at a very high level with seminars and lectures by distinguished mathematicians in related fields. The 1988 institute will focus on "Operator Theory/Operator Algebras and Applications". During the last twenty years operator theory has come of age. The subject has developed in several directions, using new and powerful methods that led to the solutions of basic problems thought to be inaccessible in the sixties. These developments have made mutually enriching contact with other areas of mathematics, including algebraic topology and index theory, complex analysis in one and several variables, and probability theory. This institute will summarize the current progress and examine the common and unifying theories that exist in the subject.

This project is a symposium in the honor of John von Neumann and is organized by the American Mathematical Society and sponsored by the American Mathematical Society and the Society of Industrial and Applied Mathematics. The symposium will be held at Hofstra University in May and June of 1988 and will fall on the 85th anniversary of Neumann's birth. John von Neumann died in 1957. In addition to support by the National Science Foundation, both IBM and the Sloan Foundation will contribute support to this research symposium. Neumann is known as "the father of the modern computer" and contributed significant research to many fields including computer science, logic, ergodic theory, fluid mechanics, quantum mechanics, atomic energy, algebra, measure theory, econometrics and ordnance. The symposium will review the many accomplishments to science of John von Neumann and will discuss the current state of research in the mathematical fields that he helped to develop.

This project is the 1988 Centennial Symposium which is to focus on the topic "Mathematics into the Twenty- first Century" and to be held during the Centennial Meeting of the American Mathematical Society in Providence, Rhode Island in August of 1988. The purpose of the meeting will be to provide a comprehensive survey of the significant fields of mathematics. The talks will be of a nature understood by a general mathematical audience and will examine the motives, paradigms, and prospects of major areas of contemporary mathematical research. The research topics to be presented include: Finite simple groups, nonlinear elliptic partial differential equations, probability and statistics, mathematical physics, low dimensional topology, mathematical logic, algebraic number theory, algebraic geometry, representation theory of p-adic groups, von Neumann algebras and knot theory, nonlinear hyperbolic equations, mathematical biology, algebraic K- theory, dynamical systems and Kleinian groups, theoretical computer science and combinatorics, and calculus of variations.

This project is a summer seminar in applied mathematics to be held at Colorado State University and to be sponsored by the American Mathematical Society and the Society of Industrial and Applied Mathematics. The seminar will provide a wide-ranging survey of the current major thrusts in the numerical solution of nonlinear systems of equations. It is hoped that the participation in this conference will furnish ideal preparation for research-level graduate students and young researchers embarking upon careers in this area. In recent years significant progress has been made on the numerical solution of nonlinear systems, including: Global Newton or homotopy methods, continuation methods, nonlinear conjugate gradient and quasi-Newton methods, piecewise linear methods, complexity theory of certain nonlinear methods, mesh refinement and nonlinear multigrid methods. Experts in all of these techniques will participate in this meeting.

This is a cooperative agreement between the Division of Mathematical Sciences and the American Mathematical Society for the purpose of producing rank ordered lists of qualified applicants for the NSF Postdoctral Fellowships in the mathematical sciences. The American Mathematical Society will receive and organize the applications, convene a panel of distinguished mathematicians representing the American Mathematical Society, the Society for Industrial and Applied Mathematics, and the Institute of Mathematical Statistics, evaluate the applications and recommend a rank ordering of applicants to the Division of Mathematical Sciences of NSF. The American Mathematical Society is a nonprofit organization dedicated to the support of mathematical research and scholarship. It is critical to that Society and to NSF that there be a continuing influx of young mathematicians possessing the advanced training and talent needed to keep the profession strong. NSF's Postdoctral Research Fellowship program helps provide this manpower and serves to focus attention on this need throughout the broad mathematical community.

This project is a Symposium on "Some Mathematical Questions in Biology" to be sponsored by the American Mathematical Society, the Society of Industrial and Applied Mathematics, and the Society for Mathematical Biology. The symposium represents the twenty-second in a series and will be held in conjunction with the annual meeting of the Federation of American Societies for Experimental Biology in May 1988. The annual meeting is supported by the National Science Foundation, the U.S. Steel Foundation, the National Institutes of Health, and the Institute for Defense Analyses. This symposium will focus on research questions related to the dynamics of excitable cells. The topics will deal with an analysis of the transitions that lead to bursting, cardiac pacemaking and wave propagation in cardiac tissue, wave propagation in the aggregation phase of certain cell systems, and collective phenomena in the brain. The overall goal is to expose biologists and physiologists to some of the more theoretical work being done by mathematicians, and to expose mathematicians to some of the concrete modeling work being done on particular systems.

The American Mathematical Society in a cooperative venture with the Mathematical Association of America and the Society of Industrial and Applied Mathematics will establish a collegiate mathematics education newsletter. Its purpose is to stimulate greater communication between research mathematicians, and collegiate mathematics educators. The newsletter will provide a balance of short, timely items directing readers to sources of further information, and longer, more substantive articles presenting discussion of important issues in collegiate mathematics education. The newsletter will include articles on mathematics curriculum, innovative teaching methods, funding for collegiate math education, outside classroom activities, profiles of successful math programs, information on conferences, workshops, courses, use of technology, review of international activities, review of information in other publications, and a column for queries.

This project is the American Mathematical Society's 1989 Summer Symposium in Pure Mathematics, which is entitled "Complex Geometry and Lie Theory." Its organizers are Professors James Carlson and Herbert Clemens of the University of Utah, and the conference will be held May 26-30, 1989 at Sundance, Utah. The purpose is to review critically the interaction over the last twenty years between algebraic geometry, hermitian differential geometry, and Lie theory, and to identify opportunities for future interactions. There is some participant support available.

This project will support a travel grant program for the 1990 International Congress of Mathematicians to be held in August 1990 in Kyoto, Japan. The Congress, which is held every four years, is a meeting of mathematicians from all over the world. The American Mathematical Society will administer the program, which will culminate in the selection of a group of mathematicians from the United States who will receive awards providing partial support for their travel to this meeting.

This project supports a three week mathematical research institute organized by the American Mathematical Society to be held in the Summer of 1989 at the University of California, Santa Cruz. This institute will be the thirty-seventh in a series planned with the purpose of bringing together a group of mathematicians who are interested in a particular field of mathematical research. Emphasis is placed primarily on instruction at a very high level, with seminars and lectures by distinguished mathematicians in related fields. "Several Complex Variables and Complex Geometry" is the topic of the 1989 institute. Complex analysis has grown considerably since 1975, the date of the last institute which focused on this topic. A significant component of this growth has stemmed from the interaction with other parts of mathematics. One principal purpose of this institute is to foster further such interaction. Proceedings of the institute will be published in the American Mathematical Society's series "Proceedings of Symposia in Pure Mathematics".

This project is the twentieth AMS-SIAM Summer Seminar in Applied Mathematics, which will be held May 29-June 9, 1989 at Virginia Polytechnic Institute and State University, Blacksburg, Virginia. The seminar is sponsored jointly by the American Mathematical Society and the Society for Industrial and Applied Mathematics. The topic is "The Mathematics of Random Media", and speakers will present recent results on stochastic processes with special emphasis on effective medium theory, interactive particle systems, and diffusions and wave propagation in random media. In addition, there will be survey lectures to orient nonspecialists in these fields. The proceedings of the conference will be published by the American Mathematical Society in its "Lectures in Applied Mathematics" series. There is some financial support available.

This project will support the 1990 AMS-SIAM Summer Seminar on Vortex Dynamics and Vortex Methods to be held during a two week period in June 1990. The first week of the seminar will involve tutorial and survey talks, with introductions to the major kinds of numerical methods which can be used to study vortex dominated flows, some of the mathematical analyses which have been applied to such problems, and the basic features of some of the principal flows which follow from experiments. Talks in the second week will be more technical and less elementary than in the first week. The understanding of vortex dynamics is crucial to the understanding of fluid motion. The subject is studied from a variety of different viewpoints - experimental, numerical, and analytical. The goal of the seminar is to bring together researchers to facilitate the critical evaluation of different approaches with an emphasis on the usefulness and validity of numerical computations.

This project will support the Joint Summer Research Conferences in the Mathematical Sciences, administered by the American Mathematical Society, the Society for Industrial and Applied Mathematics, and the Institute for Mathematical Statistics. Between six and ten one or two-week conferences have been held annually since 1982 on a wide range of mathematical topics. The 1990 Summer Research Conferences will be held at the University of Massachusetts, Amherst on the following topics: (1) Logic and Local Fields, (2) The Schottky Problem, (3) Deformation Theory of Algebras and Quantization with Applications to Physics, (4) Strategies for Sequential Search and Selection in Real-Time, (5) Probability Models and Statistical Analyses for Ranking Data, and (6) Inverse Scattering and Applications.

This project will support the 1990 Summer Institute on Differential Geometry which will be held during July 1990 at the University of California, Los Angeles. The three-week institute is the thirty-eighth in a series which brings together groups of mathematicians interested in a particular field of mathematical research. The program will address both new developments in the more classical areas of differential geometry and new connections with partial differential equations and mathematical physics. The major topics to be addressed at the institute include (1) Riemannian geometry, (2) minimal submanifolds and constant mean curvature, (3) complex geometry, (4) the general theory of partial differential equations on manifolds, harmonic functions, harmonic mappings, the Monge-Ampere equation, differential systems and isometric embedding, (5) eigenvalues, heat flow, and index theory, (6) gauge theory and geometry in mathematical physics, (7) groups and manifolds and dynamical systems, and (8) symplectic geometry.

This is a cooperative agreement between the National Science Foundation (NSF) and the American Mathematical Society for the purpose of providing an evaluation of the applicants for the NSF Mathematical Sciences Postdoctoral Research Fellowships. The American Mathematical Society will receive and organize the applications and convene a panel of distinguished mathematical scientists representing the American Mathematical Society, the Society for Industrial and Applied Mathematics, and the Institute of Mathematical Statistics. This panel will recommend a list of applicants to the Division of Mathematical Sciences of NSF for fellowship awards. The American Mathematical Society (AMS) is a nonprofit organization dedicated to the support of mathematical research and scholarship. It is critical to the AMS and to NSF that there be a continuing influx of mathematicians possessing the advanced training and talent needed to keep the profession vital. The Mathematical Sciences Postdoctoral Research Fellowship Program helps develop this talent and serves to focus attention on this need throughout the broad mathematical sciences community.

This project partially supports the work of a task force of the American Mathematical Society to study the current employment opportunities for new doctorates in the U.S. Long term demographic studies by the National Science Foundation indicate potential shortfalls by the end of this decade in our nation's science personnel base. One the other hand, in 1990 declines in the number of jobs available and increases in the number of applicants were noted in the mathematical sciences community. Follow-up surveys indicated disturbing signs pointing to a shortage of employment opportunities in the short term. This project supports a task force of the American Mathematical society to assess the current situation, make recommendations on ways to mitigate what may be a short-term supply and demand imbalance in the academic employment market, develop long-term strategies to reduce some of the current inefficiencies in the employment-seeking process, and report their finding to the mathematical sciences community. The project is timely and important for the vitality of the U.S. mathematical sciences personnel base. The results will be made available to the scientific community, the professional societies, and interested government agencies. In the latter case, the results may help in developing appropriate strategies for the support of postdoctoral researchers.

In the last twenty years, few areas of mathematics have developed as extensively as the theory of algebraic groups. Recent developments in the theory of infinite dimensional Lie algebras, in noncommutative algebraic geometric analogues of algebraic groups such as quantum groups, and in representation theory, suggest that an overall assessment of recent progress might be in order. This grant will support the 1991 Summer Research Institute on Algebraic Groups and their Generalizations, to be held at Pennsylvania State University, July 8-28, 1991. The three week institute is the thirty-ninth in a series sponsored by the American Mathematical Society which brings together groups of mathematicians interested in a particular field of mathematical research. Emphasis is placed on instruction at a very high level with seminars and lectures by distinguished mathematicians in related fields, to promote interaction between participants while broadening their mathematical perspectives.

The 1991 symposium will be the twenty-fourth in an annual series. It will be held in San Antonio, Texas in August, and its theme is Theoretical Approaches for Predicting Spatial Effects in Ecological Systems. Topics included are the use of diffusion based models to predict the movement and distribution of animal populations, the use of renormalization theory to develop scale- independent spatial models, non-linear Markov models for simulating landscape changes, the development and application of spatial ecosystem models for estimating long-term ecological effects, the effect of economic policies on the spatial patterns of land-use, and the use of percolation theory to examine the effects of spatial heterogeneity. The overall goal of the symposium is to expose biologists to recent theoretical work by mathematicians, and to expose mathematicians to some of the key problems and constraints faced by ecologists in the analysis and simulation of ecological systems.

The Joint Policy Board for Mathematics, representing the American Mathematical Society, the Mathematical Association of America, and the Society for Industrial and Applied Mathematics is conducting a study of the recognition and rewards system in the mathematical sciences. Numerous recent reports point to this system as a key to reforming the K through 12 education system, to revitalizing undergraduate science and mathematics education, and to elevating the level of technology transfer in order to boost economic competitiveness. The study also responds to the increasing awareness of the importance of interdisciplinary work and of the participation of mathematical scientists in the education of individuals who plan to work in industry and government. This initial study will focus on the barriers to changing the rewards structure and will be implemented as a series of case studies. The results of this research will be reported to NSF and to the mathematics community through the news publications of the three organizations that comprise the JPBM. This research is expected to be the basis of further study of the system that will lead to a set of recommendations and plan of action to produce a recognition and rewards system that is consistent with the missions of institutions of higher education and with the diverse responsibilities of college and university faculty.//

The workshop, entitled "Changing in the Culture:Education and the Mathematics Research Community" is being organized to initiate the process of identifying and cultivating educational leadership in the research community. It is being jointly sponsored by the American Mathematical Society, the Mathematical Association of America, the Mathematicians and Education Reform Network, the Mathematical Sciences Research Institute, the Society for Industrial and Applied Mathematics, the Department of Mathematics of the University of California, Berkeley, and the Office of Academic Affairs, University of California.

This Americas Program award will support the participation of U.S. and Latin American scientists in the first school of theoretical physics and mathematics, to be held in Pointe a Pitre, Guadaloupe, May 30-June 13, 1993. This activity is jointly sponsored by the American Mathematical Society, with Dr. James W. Maxwell as organizer, and the Societe Mathematique de France. The School will present recent progress in non-commutative geometry, infinite dimensional geometry and operator algebras, with applications to quantum statistical mechanics and quantum field theory. About 15 graduate students and recent doctorates from Latin America and U.S. will participate. The subject of the conference is timely and of great interest; the topics covered are extremely important and the lecturers are of the highest international calibre in their fields. This exposure to high level mathematics will give the young and emerging scientists valuable added professional training and the opportunity to interact with eminent mathematicians and physicists.

The project will support the Joint Summer Research Conferences in the Mathematical Sciences, administered by the American Mathematical Society, the Society for Industrial and Applied Mathematics and the Institute of Mathematical Statistics. Between six and ten one or two-week conferences have been held annually since 1982 on a broad range of mathematical topics. The 1993 Summer Research Conferences will be held during the period July 10 - August 6, 1993 at the University of Washington in Seattle, WA on the following topics: (1) curvature equations in conformal geometry, (2) multivariable operator theory, (3) spectral geometry, (4) recent developments in the inverse Galois problem, (5) mathematics of superconductivity, (6) distributions with fixed marginals, doubly stochastic measures, and Markov operators, and (7) applications of hypergroups and related measure algebras.

In recent years the stochastic point of view has achieved great prominence, both as an active area of probability theory and as a powerful tool in problems of analysis, geometry, and mathematical physics. For example, the classical Ito theory of stochastic differential equations, which defines a finite- dimensional diffusion process, already leads to many interesting connections with analysis in Euclidean space and finite-dimensional differentiable manifolds. The same stochastic differential equations can also be used to define a stochastic flow, which is a diffusion process on the group of diffeomorphisms, an infinite- dimensional space. This naturally leads to the study of other infinite-dimensional processes, especially those defined by stochastic partial differential equations. This project will support the 1993 AMS Summer Research Institute on Stochastic Analysis to be held July 11-30, 1993 at Cornell University in Ithaca, NY. This Institute is the 41st in a series designed with the purpose of bringing together a group of mathematicians interested in a particular field of mathematical research. Emphasis is placed on instruction at a very high level with seminars and lectures by distinguished mathematicians in related fields, in order to promote interaction between participants while broadening their mathematical perspectives. The goal of the Institute will be to highlight the main directions of the field through principal lectures by leaders in the following general areas: stochastic (ordinary) differential equations, applications to analysis, applications to geometry, stochastic flows, infinite dimensional problems, and stochastic partial differential equations.

This project will support the participation of mathematical scientists from the United States at a conference on the Mathematics of Computation to be held August 9-13, 1993 in Vancouver, British Columbia, Canada. Survey and state-of-the-art lectures will be given in plenary sessions, as well as contributed paper sessions on such topics as the numerical solution of partial differential equations, numerical solution of ordinary differential equations, numerical solution of integral equations, numerical quadrature and cubature, special functions, numerical linear algebra, numerical solution of nonlinear equations and optimization, and computational number theory. This conference is being held in conjunction with the Joint Summer Meetings of the American Mathematical Society, Mathematical Association of America, and Canadian Mathematical Society.

Computed tomography has grown from numerical analysis and algorithm development for planar X-ray tomography scanners to encompass a broad range of imaging techniques. Impedance imaging systems apply current to the surface of a body, measure the induced voltages on the surface, and from this information, reconstruct an approximation to the electrical conductivity and/or electrical permittivity in the interior. Mathematically, the problem is ill- posed and nonlinear, and a frequently used approximation reduces to a Radon transform. Integral geometry is the mathematical basis for tomography and one model for impedance imaging. The Radon transform on lines is the model of X-ray tomography and generalizations model emission tomography and problems in ultrasound. Tomographers use integral geometric theorems, such as inversion formulas and range characterizations, to create and improve reconstruction methods. This project will support the AMS-SIAM Summer Seminar in Applied Mathematics on the Mathematics of Tomography, Impedance Imaging, and Integral Geometry to be held June 7-18, 1993 at Mount Holyoke College in South Hadley, MA. One of the features of tomography is the strong relationship between high level mathematics (such as harmonic analysis, partial differential equations, microlocal analysis, and Lie group theory) and applications to medical imaging, impedance imaging, radiotherapy, and industrial non-destructive evaluation. The conference has the following main goals: (1) to give researchers in the field the opportunity to define and articulate the main problems of current interest and to isolate common themes and approaches and (2) to strengthen the connection between the pure and applied aspects of these areas and to facilitate dialogue between researchers in the various areas. Graduate students, recent doctoral recipients, and new researchers in the field will be encouraged to attend.

9318637 Maxwell The American Mathematical Society requests a grant in the amount of $62,371 for the twenty-fourth AMS-SIAM Summer Seminar in Applied Mathematics, to be held in the summer of 1994. Previous seminars were held annually or at two or three year intervals since 1957 for a total or 23 seminars. The 1994 topic, "Dynamical Systems and Probabilistic Methods for Nonlinear Waves", was selected by the 1992 AMS-SIAM Committee on Applied Mathematics. Members of the Organizing Committee for the 1994 Summer seminar are: David W. MCLaughlin (co-chair), Philip Holmes (co-chair), Percy Deift, James M. Hyman, C. David Levermore, Y. Sinai, and C. Eugene Wayne. The organizers propose and AMS-SIAM Summer Seminar in 1994 which would focus on the use of probabilistic and dynamical systems methods in the study of nonlinear waves. The conference program will be specifically geared toward advanced graduate students and recent Ph.D recipients who will soon be participating in these fast developing and important fields. The 1994 Summer Seminar will be held during a two-week period in June/July 1994, at the Mathematical Sciences Research Institute in Berkeley,California. The Society will be responsible for making suitable arrangements for lecture and seminar rooms, and for coordinating local administrative matters with MSRI staff.

9400413 Maxwell The American Mathematical Society requests a grant in the amount of $20,000 for participant support of the first quadrennial John von Neumann Symposium, to be held in the summer of 1994. The supplemental funding from the NSF will be used t support travel and Nonlinear Wave Equations", was selected by the 1993 AMS Committee on Summer Institutes and Special Symposia. The Symposium will provide the opportunity for cross-fertilization between the classical theory of nonlinear wave equations on the one hand and operator algebra on the other. This is most appropriate given von Neumann's deep and central interest in the relation between operator algebra and quantum mechanics and the announced goal of the Symposium to treat topics of emerging significance that are likely to underlie future mathematical development. Members of the Organizing Committee for the 1994 von Neumann Symposium are: Haim Brezia (co-chair), Irving Segal (co- chair), William Arveson, Robert Blattner and Thomas Branson. The 1994 John von Neumann Symposium will be held during a one week period in June, 1994, in the greater Boston area.

9412279 Maxwell The American Mathematical Society requests a grant in the amount of $25,520 for Wiener Centennial Symposium, to be held in October, 1994. Members of the Organizing Committee for the Wiener conference are: David Benney (ex-officio; Head, Dept of Math., MIT) Roger Brockett (Division of Applied Sciences, Harvard) Donald Burkholder (U of Illinois) David Jerison, Chair (MIT) Henry P. McKean (Courant Institute, NYU) Daniel Stroock (MIT) Isadore M. Singer (MIT) Elias M. Stein (Princeton) Rather than organize a commemorative workshop reviewing Wiener's work, the organizing committee intends to use the occasion of the centennial of his birth to alert young researchers to the many researchers to the many opportunities in analysis and its applications in the spirit of Norbert Wiener. The Organizers plan a weeklong conference in October 1994. The Conference will take place at M.I.T., and the mathematical portion will be co-sponsored by the American Mathematical Society and MIT.

SRS 94-21743 Rung This three-year project will support the seventh in a series of surveys sponsored by the Conference Board of the Mathematical Sciences (CBMS), and conducted by the American Mathematical Society (AMS) to gather data on activity in academic departments in the mathematical sciences. The surveys have been conducted at five-year intervals, beginning in 1965. This national survey of two-year and four-year institutions obtains detailed data on undergraduate enrollment, faculty counts and characteristics, and general academic activity. Separate questionnaires are used for four-year and two-year institutions. A stratified random sample of institutions is selected. Data and analysis are presented in a survey report appearing in the Mathematical Association of America (MAA) notes and Reports Series of the MAA, and are further distributed through presentations at professional meetings and special articles. This project will be conducted under the direction of a nine- member committee broadly representative of the academic communities to be surveyed. Parties involved in significant redesign and restructuring of undergraduate education in mathematics will be important contributors to planning for this effort as well.

The American Mathematical Society will hold the twenty-sixth AMS-SIAM Summer Seminar in Applied Mathematics in 1996. Previous seminars were held annually or at two- or three-year intervals since 1957 for a total of 25 seminars. The 1996 topic, "Mathematics of Stochastic Manufacturing Systems", was selected by the 1994 AMS-SIAM Committee on Applied Mathematics. Members of the Organizing Committee for the Summer Seminar are: George Yin- Department of Mathematics, Wayne State University, Chair Qing Zhang- Department of Mathematics, University of Georgia, Co-Chair John Birge- Department of Industrial and Operations Engineering, University of Michigan Wendell Fleming- Division of Applied Mathematics, Brown University Bozenna Pasik-Duncan- Department of Mathematics, University of Kansas Marty Riemann- AT&T Bell Laboratories All of the members of the organizing committee have agreed to attend and participate in the meeting. The 1996 AMS-SIAM Summer Seminar will be held during a one-week period in June, 1996, at a location in the Eastern United States. The Society will be responsible for making suitable arrangements for lecture and seminar rooms, and for handling administrative matters.

This grant supports a mathematical research institute during the summer of 1996. This institute will be the forty-third in a series planned with the purpose of bringing together a group of mathematics interested in a particular field of mathematical research. Emphasis is placed on instruction at a very high level with seminars and lectures by distinguished mathematicians in related fields, to promote interaction between participants while broadening their mathematical perspectives. "Cohomology representations and actions of finite groups" has been selected as the topic of the 1996 Summer Research Institute by the 1994 AMS Committee on Summer Institutes and Special Symposia. The 1996 Institute will be held in San Diego, California. It is expected to be held during a three-week period in July/August, 1996.

1997 AMS Summer Research Institute on "Differential Geometry and Control" The American Mathematical Society's long-standing series of three-week long summer research institutes bring together between 100 and 300 mathematicians actively working in a particular field of mathematical research. Emphasis is placed on instruction and information exchange at a very high level, including lectures by distinguished mathematicians in related fields designed to promote interaction between participants while broadening their mathematical perspectives. Members of the Organizing Committee for the 1997 Summer Research Institute are: Professor Hector J. Sussmann, Rutgers University (Chair) Professor Henry Hermes, University of Colorado at Boulder (Co-chair) Professor Guillermo S. Ferreyra, Louisiana State University Professor Robert B. Gardner, University of North Carolina at Chapel Hill The Institute will be held at Boulder, Colorado, on the campus of the University of Colorado between June 29 and July 19, 1997. Staff of the American Mathematical Society will provide administrative support for the conference.

9703934 Maxwell The International Research Fellow Awards Program enables U.S. scientists and engineers to conduct three to twenty four months of research abroad. The program's awards provide opportunities for joint research, and the use of unique or complementary facilities, expertise and experimental conditions abroad. This award will support a six-month postdoctoral research visit by Dr. James L. Maxwell of Louisiana Tech University to work with Dr. Mats Boman at Uppsala University in Sweden. This project involves the study of laser-induced chemical vapor deposition (LCVD) and, in particular, the use of LCVD to manufacture three-dimensional micro electro mechanical systems (MEMS). Few traditional micromachining processes are capable of producing highly-three-dimensional MEMS devices. Three-dimensional LCVD (3D-LCVD) is a mode of pyrolytic vapor deposition where high-aspect ratio microstructures can be generated. Using 3D-LCVD, the researchers plan to fabricate a three-dimensional micro- inductor, a superconducting micro-inductor, and coils which will be used to test the feasibility of laser-deposited Ni- Ti shapememory actuators in MEMS devices. Dr. Boman was the first to produce complex shapes and useful devices via 3D- LCVD and Dr. Maxwell was the first to demonstrate feedback control of growth rates during 3D-LCVD which allows precise, continual control of layered and freeform growth. The University of Uppsala has the best equipped laboratory for 3D-LCVD in the world. ***

This American Mathematical Society project supports a mathematical research institute during the summer of 1999. The institutes in this series bring together a group of mathematicians interested in a particular field of mathematical research. Emphasis is placed on instruction at a very high level with seminars and
lectures by distinguished mathematicians in related fields and to promote interaction between participants while broadening their mathematical perspectives.

Smooth Ergodic Theory and Applications has been selected as the topic of the 1999 Summer Research Institute by the AMS Committee on Summer Institutes and Special Symposia, whose members at the time were Michael D. Fried (chair), Robert Osserman, Jeffrey B. Rauch, Leon Takhtajan, and Ruth J. Williams.

Members of the Organizing Committee for the proposed 1999 Summer Research Institute on Smooth Ergodic Theory and Applications are Anatole Katok, Pennsylvania State University; Rafael De La Llave, University of Texas at Austin; Yakov Pesin, Pennsylvania State University; and Howard Weiss, Pennsylvania State University.

The 1999 Summer Research Institute will be held at the University of Washington, Seattle, Washington. The Society will be responsible for making suitable arrangements for lecture and seminar rooms, and for the
handling of local administrative matters. The Institute is expected to be held during a three-week period in late July and early August.

ABSTRACT CTS-9871406 Kathleen Johnston, Steven A. Jones, James L. Maxwell Louisiana Tech University Title: The Multidisciplinary Equipment Enhancement Project Louisiana Tech University will purchase research equipment to be shared by a multidisciplinary team headed by Prof. K. Johnston. The university will cost-share over 45% of the acquisition. The equipment includes a Cosmic Ray Test Stand with Data Acquisition, a Circuit Board Design Station, a Particle Image Velocimetry System, a Laser Doppler Velocimetry System, and a Computer-Network System. The shared instrumentation will be managed by the Center for Applied Physical Studies at Louisiana Tech University, for research in Particle Physics, Fluids Engineering, Micromanufacturing and Biomedical Engineering. The four groups are linked at the project level, for example in the Positron Emission Tomography project.

The American Mathematical Society will administer a program of travel grants for U.S. mathematicians to attend the 1998 International Congress of Mathematicians, Berlin, Germany, August 18-27, 1998. This will be similar to travel support programs conducted in 1990 and 1994. Approximately $200,000 will be awarded. This program is open to U.S. mathematicians (those who are currently affiliated with a U.S. institution). Applications will be evaluated by a panel of mathematical scientists, who will use their judgment in evaluating professional qualifications. Travel awards are intended to provide partial support and may be used for travel or subsistence costs. Junior mathematicians will receive a slightly higher award amount. Mathematicians who accept the support offered under this program may not supplement it with any other NSF funds.

The American Mathematical Society (AMS) proposes that it enter into a cooperative agreement with the National Science Foundation for the purpose of administering the evaluation process of candidates for the Postdoctoral Research Fellowships in the Mathematical Sciences. The agreement would be for program years 1997-98, 1998-99, and 1999-2000 with estimated costs of $45,962, $44,557, and $45,853 respectively. The AMS, in cooperation with the NSF, has administered this program in past years, quickly, inexpensively, and successfully. Applications are received and processed at the AMS in Providence. A panel of mathematicians is selected by three societies - the AMS, SIAM (Society for Industrial and Applied Mathematics) and IMS (Institute for Mathematical Statistics). Applications are evaluated by the panel and a day-long panel meeting results in recommendations for awards.

This three-year project, endorsed by the Conference Board of the Mathematical Sciences (CBMS), will be the eighth CBMS survey of undergraduate mathematics education in the United States. As in past years, the survey will report on curricular, enrollment, and personnel issues in undergraduate mathematics, creating a longitudinal data base of information not available anywhere else. Publications from these surveys have assisted governmental and academic administrators as they make resource allocation decisions, have assisted the mathematical community in understanding the curricular and personnel problems that it faces, and have served as a data source for almost every national report on the mathematical sciences community.

CBMS2000, as the survey is called, will include more than 600 of the 2,500 U. S. departments of mathematical sciences (broadly defined) in two-and four-year institutions. The impact of calculus reform, the teaching of statistics in mathematics departments, and the pre-service education of K-12 mathematics teachers are likely to be among special focus areas.

Changes from earlier surveys will include a greater emphasis on undergraduate statistical education, enhanced parellelism between the two-year and four-year college questionnaires, the use of a university statistical laboratory to carry out the analysis of survey data, and wider dissemination of the final report to federal decisionmakers. The entire report will be made available for electronic dissemination through the internet.

This grant provides funds to support approximately 150 travel awards to US mathematicians within six years of receipt of their doctoral degree to attend the special AMS meeting in August, 2000, "The Mathematical Challenges of the 21st Century," to be held on the campus of the University of California at Los Angeles. The program for this meeting includes lectures by thirty world-renowned mathematicians.

The phenomenal advances in mathematical research during the past half-century has involved both the solution of centuries-old celebrated mathematical problems as well as major applications of sophisticated mathematical concepts and tools to the other sciences and in applications. The U.S. mathematical community has played a central role in this development, as has the cadre of brilliant young mathematicians fostered by that community.

The turn of the century (and the new millennium) will undoubtedly see an intensification and acceleration of these trends. In particular, developments of the last two decades indicate a deeper and closer relation between research mathematics and other front-line areas in the sciences than was the case in earlier decades. At this point of transition between centuries, it is natural that the vital and diverse community of mathematicians take stock of recent mathematical advancements and look forward to the mathematical themes that will form the core of research developments in the coming century. These travel grants will enable many of the US's young mathematicians to be an integral part of this process.

This project is for The American Mathematical Society to administer a program for selecting approximately 130 U.S. mathematicians for whom travel awards of about $2000 each will be provided to attend the International Congress of Mathematicians in Beijing, China, August 20-28, 2002 (ICM-02).

Held every four years, the International Congress of Mathematicians is one of the most important gatherings of the world's leading mathematicians, where major mathematical developments across subdisciplines are discussed. The Congress promotes cross-fertilization among the different subcommunities of the mathematical world. Significant U.S. representation at ICM-02 is important to the scientific health of the nation.

Applications will be evaluated by a panel of professional mathematicians, who use their judgment both in evaluating professional qualifications and guaranteeing that early career and minority applicants are not overlooked. The awards are intended to cover travel, and a portion of subsistence or registration fee coverage, except in the case of early career mathematicians, who will be awarded more subsistence. The AMS administered similar programs for ICM-90 in Kyoto, Japan, ICM-94 in Zurich, Switzerland and ICM-98 in Berlin, Germany.

This grant provides the American Mathematical Society with funds to be used over three years to support mathematically talented U.S. undergraduates for a semester of study at the MATH in MOSCOW program of
the Independent University of Moscow. Funds will be used to underwrite approximately half of the typical cost for a semester of study in the program for ten undergraduate students per (academic) year. The Independent University of Moscow (IUM) is a small, elite institution of higher learning focusing primarily on mathematics. It was founded in 1991 at the initiative of a group of well-known Russian research mathematicians, who now comprise the Academic Council of the University. The faculty of the IUM has well-established connections with the research community in the U.S. and Europe. The costs to administer
this program are being fully absorbed by the AMS, and all the funds provide will be used to support the students.

This project consists of all aspects of the annual evaluation of applications submitted to the Mathematical Sciences Postdoctoral Research Fellowships program of the Division of Mathematical Sciences at NSF. The
major steps of the evaluation process include the collection of applications materials during September and October, the processing and distribution of the application materials for review by a panel of 15 senior mathematical scientist, the arranging of a face-to-face meeting of the full panel in early December to evaluate the applications, and the reporting of the results of that evaluation to NSF before the end of December. Members of the panel are appointed by the presidents of the American Mathematical Society (AMS), the Institute of Mathematical Sciences and the Society of Industrial and Applied Mathematics.

This project is funded as a cooperative agreement between the NSF and the AMS for the period from 2001 through 2005.

Algebraic Geometry Summer Institute (Proposal DMS-0456683.)

A large scale summer institute in algebraic geometry, three weeks in
duration, will be held during July-August 2005 at the University of
Washington, Seattle. Organizational support will be provided by the
American Mathematical Society and the Clay Mathematics Institute. Each
week will have a general topic as a focus and at the same time will
include a component of core "classical" algebraic geometry. The foci
will be: Mathematical Physics in Algebraic Geometry; Combinatorics,
Commutative Algebra and Classical Algebraic Geometry; and Arithmetic Algebraic
Geometry. Three plenary morning lecture series will be held in each
week, lecturers having been selected as leading researchers who are at the
same time exemplary expositors. In addition, leading specialists will be
invited to serve as seminar leaders, and will select high impact
lectures given by the best lecturers for afternoon seminars. Additional
activities will include the CMI distinguished lectures and an evening graduate
program.

Algebraic geometry, the study of geometric shapes defined by polynomial
equations, is a vast generalization of the high-school topic "analytic
geometry". It has enjoyed much cross-fertilization in past decades with
areas in pure mathematics, applied mathematics, computing and
theoretical physics. One way American algebraic geometers have maintained the
vibrancy of the field is by holding a large scale, NSF-funded summer institute
about every decade, an institute which aims to bring participants up to
the forefront of research in the salient direction the field has taken
in the previous years, and to project directions which the field is
expected to take in the following years. These institutes have had a crucial
formative role on the subject, with enormous impact especially on the
emerging careers of young researchers. This summer institute project
aims to follow in their footsteps.

With NSF support and with sponsorship from the Conference Board of the Mathematical Sciences (CBMS), the CBMS2005 project will be the ninth in a sequence of quinquennial surveys and reports that provide comprehensive national data on the undergraduate mathematical sciences in departments ranging from two-year to doctoral.

Professional society reports have emphasized the need for better data on the nation's undergraduate
mathematical sciences programs in order to allow leaders at every level from local departments to
national agencies to assess existing activities, to plan future growth, and to be effective advocates for their programs. Based on a carefully designed CBMS2005 survey of the nation's undergraduate mathematical sciences programs, the CBMS2005 project will address that need through published reports of the most detailed and reliable data on the nation's undergraduate mathematical sciences.

CBMS2005 will continue long-term cross-sectional studies initiated in previous CBMS reports, and will investigate special topics proposed by professional society committees as being particularly important today. These special topics are likely to include: the mathematical preparation of K-8 teachers; the impact of reform movements on undergraduate curriculum, pedagogy, and technology use; the growth of ``dual
enrollment'' as a way for advanced high school students to get college credit while still in high school; faculty diversity and educational background; the shift from permanent to temporary faculty noted in the CBMS2000 report; and comparison of availability of advanced courses for mathematics majors in various types of four-year colleges and universities.

CBMS2005 will involve an unprecedented level of cooperation between members of the project steering committee (who come from nine different universities); the Joint Data Committee of the AMS, ASA, IMS, and MAA; committees of various professional societies; and statisticians at the University of North Carolina.

This project is for The American Mathematical Society to administer a program for selecting approximately 130 U.S. mathematicians for whom travel awards of about $2,000 each will be provided to attend the International Congress of Mathematicians in Madrid, Spain, August 22-30, 2006 (ICM-06). Held every four years, the International Congress of Mathematicians is one of the most important gatherings of the world's leading mathematicians, where major mathematical developments across sub-disciplines are discussed. The Congress promotes cross-fertilization among the different sub-communities of the mathematical world. Significant U.S. representation at ICM-06 is important to the scientific health of the nation. Applications will be evaluated by a panel of professional mathematicians, who use their judgment both in evaluating professional qualifications and guaranteeing that early career and minority applicants are not overlooked. The awards are intended to cover travel, and a portion of subsistence or registration fees, except in the case of early career mathematicians, who will be awarded more subsistence. The AMS successfully administered similar programs for ICM-90 in Kyoto, Japan, ICM-94 in Zurich, Switzerland, ICM-98 in Berlin, Germany and ICM-02 in Beijing, China.

This project, CBMS2010, is a comprehensive stratified random sample survey of the nation's undergraduate mathematical and statistical sciences programs at two-year and four-year institutions in the fall of 2010. A comprehensive report describing this survey will be available in the spring of 2012 online. This project continues a cross-sectional survey of undergraduate mathematics programs that has been done every five years since 1965. This project is coordinated by the Conference Board for the Mathematical Sciences (CBMS) and is being managed by the American Mathematical Society (AMS). CBMS surveys track changes in the curriculum, pedagogy, enrollment levels, graduates, and faculty in US undergraduate mathematical sciences programs. In addition, CBMS2010 is also focusing on: requirements for mathematics and statistics majors, assessment of mathematics and statistics programs, mathematical preparation of teachers, dual enrollment, and instructional strategies in College Algebra, Calculus I, and Elementary Statistics. CBMS2010 will provide the national benchmark data that the nation's mathematical sciences department chairs called for in the AMS publication "Towards Excellence: Leading a Mathematics Department in the 21st Century."

The statistical design and associated computations are being conducted by statisticians at Westat in consultation with a steering committee appointed by CBMS, and the final report will be written by the project's senior personnel and published by the American Mathematical Society. The survey's evolving structure contributes to educational survey research methodology.

The University of New Mexico-Los Alamos (UNMLA), in partnership with Los Alamos National Laboratory (LANL) and Santa Fe Community College, is redesigning the Applied Technologies (AT) associate's program to include degree concentrations in electromechanical, solar, and nano-technology as an effort to prepare more highly skilled technicians to support the region's emerging need for high-tech employees in these areas. This critical need is given special urgency based on the State of New Mexico's vision and plan for the development of a new "green" economy.

The project involves an equipment overhaul, in addition to rigorous curriculum and instructional improvements in the three content areas noted above. Targeting high school students and teachers, the project articulates a career pathway for underrepresented students that leads to participation in advanced technical education, as well as opportunities at four year institutions . Problem-based learning incorporating engineering design principles and an interdisciplinary thematic approach guide the strategy for teaching and learning. The project also supplements instruction with authentic internship experiences at supporting companies and national laboratories. A total of 65 students will have moved through the program at its completion. The project takes advantage of UNMLA's pilot faculty share program supported by LANL and Santa Fe Community College as a means to build institutional capacity and sustain the efforts of the work. Thus, this important initiative serves as a model for revising and enhancing a pre-existing degree program, specifically targeting underrepresented student populations. The support and commitments at the state and local level ensure the efforts to build capacity to meet the demands of the participating institutions and the growing needs of the new economy.

The NSF/CBMS series of Regional Research Conferences in the Mathematical Sciences is an ongoing project administered by the Conference Board of the Mathematical Sciences (CBMS) and supported continuously by NSF for the past 41 years. Each conference features a distinguished lecturer who delivers a sequence of ten lectures on a topic of important current research in one sharply focused area of the mathematical sciences. This award to the American Mathematical Society, with subcontract to CBMS, supports CBMS in its efforts to publicize conferences and administer the resulting publications, fostering greater dissemination of material related to cutting edge-topics and increasing the impact of the conferences in the community. The individual conferences are supported on separate NSF awards to host institutions.

The purpose of the NSF/CBMS conference series is to promote research in areas of the mathematical sciences which have recently seen significant new results and which hold promise for continued significant development. A conference achieves that purpose by having the principal lecturer, who is both a major researcher in the area of the conference and a good expositor, deliver 10 lectures over a five day period to the participants. The lectures typically cover the recent development of the field and chart the possible new directions and open problems. Thus the format of the conferences is primarily educational, but at the research level. Approximately one-half of the participants at these conferences are graduate students and postdocs and the conferences give them a good perspective on both the current research and the interesting open problems in an important area of the mathematical sciences. The lecturer promises to prepare a substantial expository monograph based upon his or her lectures. The resulting monograph reaches a broader audience and provides an introduction to readers who wish to begin research in the field. Moreover, the conferences are typically held at institutions that are not yet among the top research institutions, but which are interested in enhancing their local research activity.

The project, CBMS2015, will be coordinated by the Conference Board for the Mathematical Sciences (CBMS) and will be managed by the American Mathematical Society (AMS). CBMS2015, will be a comprehensive survey of the nation's undergraduate mathematical and statistical sciences programs at two-year and four-year institutions scheduled to commence in the fall of 2015. This project will continue a cross-sectional survey of undergraduate mathematics programs that has been done every five years since 1965. CBMS surveys track changes in the curriculum, pedagogy, enrollment levels by individual courses, bachelor's degrees granted, and program faculty in US undergraduate mathematical sciences programs. CBMS2015 will provide current national benchmark data that the Nation's mathematical sciences department chairs called for in the 1999 AMS publication "Towards Excellence: Leading a Mathematics Department in the 21st Century". A comprehensive report describing the findings of this survey will be distributed in the spring of 2017 to science policy leaders at the national level and to all mathematics programs in the US and will also be freely available in print and online. The findings of the survey will be promoted to the mathematical sciences community at relevant professional meetings and in appropriate publications. Improving the Nation's undergraduate STEM efforts depends on improving undergraduate mathematics and statistics, and planning future reforms begins by knowing the present. The survey report will provide data on crucial issues within the mathematics community, catalyzing other educational research.

The statistical design of the stratified random sample survey and associated statistical analysis will be conducted by statisticians at Westat, Inc. in consultation with a steering committee appointed by CBMS. The final report will be written by the project's senior personnel and published by the American Mathematical Society. The survey's evolving structure will contribute to educational survey research methodology. In addition, CBMS2015 will focus on a selection of topics of importance to leaders of various organizations concerned with undergraduate education in the mathematical sciences. The topics include, but are not limited to: (1) evidence-based teaching practices; (2) practices in distance-learning courses; (3) instructional strategies in College Algebra, Calculus I, and Elementary Statistics; (4) instructional strategies and delivery methods in developmental mathematics; (5) assessment of mathematics and statistics programs; (5) data on gender and under-represented groups; (6) research and internship opportunities in the mathematical sciences for undergraduate students; and (6) other full-time faculty (faculty at four-year departments that are full-time, but not eligible for tenure).

This project is funded jointly by the Directorate for Education and Human Resources, Division of Undergraduate Education, and the Directorate for Mathematical and Physical Sciences, Division of Mathematical Sciences.