August 20, 2012
to December 21, 2012
Organizers: Sergey Fomin (University of Michigan), Bernhard Keller (Université Paris Diderot - Paris 7, France), Bernard Leclerc (Université de Caen Basse-Normandie, France), Alexander Vainshtein* (University of Haifa, Israel), Lauren Williams (University of California, Berkeley)
Cluster algebras were conceived in the Spring of 2000 as a tool for studying dual canonical bases and total positivity in semisimple Lie groups. They are constructively defined commutative algebras with a distinguished set of generators (cluster variables) grouped into overlapping subsets (clusters) of fixed cardinality. Both the generators and the relations among them are not given from the outset, but are produced by an iterative process of successive mutations. Although this procedure appears counter-intuitive at first, it turns out to encode a surprisingly widespread range of phenomena, which might explain the explosive development of the subject in recent years.
Cluster algebras provide a unifying algebraic/combinatorial framework for a wide variety of phenomena in settings as diverse as quiver representations, Teichmueller theory, invariant theory, tropical calculus, Poisson geometry, Lie theory, and polyhedral combinatorics.
January 9, 2012
to May 18, 2012
Organizers: Mireille Bousquet-Mélou (Université de Bordeaux I, France), Richard Kenyon* (Brown University), Greg Lawler (University of Chicago), Andrei Okounkov (Columbia University), and Yuval Peres (Microsoft Research Laboratories)
In recent years probability theory (and here we mean probability theory in the largest sense, comprising combinatorics, statistical mechanics, algorithms, simulation) has made immense progress in understanding the basic two-dimensional models of statistical mechanics and random surfaces. Prior to the 1990s the major interests and achievements of probability theory were (with some exceptions for dimensions 4 or more) with respect to one-dimensional objects: Brownian motion and stochastic processes, random trees, and the like. Inspired by work of physicists in the ’70s and ’80s on conformal invariance and field theories in two dimensions, a number of leading probabilists and combinatorialists began thinking about spatial process in two dimensions: percolation, polymers, dimer models, Ising models. Major breakthroughs by Kenyon, Schramm, Lawler, Werner, Smirnov, Sheffield, and others led to a rigorous underpinning of conformal invariance in two-dimensional systems and paved the way for a new era of “two-dimensional” probability theory.
August 15, 2011
to December 16, 2011
Organizers: Keith Ball (University College London, United Kingdom), Emmanuel Breuillard (Université Paris-Sud 11, France) , Jeff Cheeger (New York University, Courant Institute), Marianna Csornyei (University College London, United Kingdom), Mikhail Gromov (Courant Institute and Institut des Hautes Études Scientifiques, France), Bruce Kleiner (New York University, Courant Institute), Vincent Lafforgue (Université Pierre et Marie Curie, France), Manor Mendel (The Open University of Israel), Assaf Naor* (New York University, Courant Institute), Yuval Peres (Microsoft Research Laboratories), and Terence Tao (University of California, Los Angeles)
The fall 2011 program "Quantitative Geometry" is devoted to the investigation of geometric questions in which quantitative/asymptotic considerations are inherent and necessary for the formulation of the problems being studied. Such topics arise naturally in a wide range of mathematical disciplines, with significant relevance both to the internal development of the respective fields, as well as to applications in areas such as theoretical computer science. Examples of areas that will be covered by the program are: geometric group theory, the theory of Lipschitz functions (e.g., Lipschitz extension problems and structural aspects such as quantitative differentiation), large scale and coarse geometry, embeddings of metric spaces and their applications to algorithm design, geometric aspects of harmonic analysis and probability, quantitative aspects of linear and non-linear Banach space theory, quantitative aspects of geometric measure theory and isoperimetry, and metric invariants arising from embedding theory and Riemannian geometry. The MSRI program aims to crystallize the interactions between researchers in various relevant fields who might have a lack of common language, even though they are working on related questions.
January 10, 2011
to May 20, 2011
Organizers: Luis Caffarelli (University of Texas, Austin), Henri Berestycki (Centre d\'Analyse et de Mathématique Sociales, France), Laurence C. Evans (University of California, Berkeley), Mikhail Feldman (University of Wisconsin, Madison), John Ockendon (University of Oxford, United Kingdom), Arshak Petrosyan (Purdue University), Henrik Shahgholian* (The Royal Institute of Technology, Sweden), Tatiana Toro (University of Washington), and Nina Uraltseva (Steklov Mathematical Institute, Russia)
This program aims at the study of various topics within the area of Free Boundaries Problems, from the viewpoints of theory and applications. Many problems in physics, industry, finance, biology, and other areas can be described by partial differential equations that exhibit apriori unknown sets, such as interfaces, moving boundaries, shocks, etc. The study of such sets, also known as free boundaries, often occupies a central position in such problems. The aim of this program is to gather experts in the field with knowledge of various applied and theoretical aspects of free boundary problems.
January 10, 2011
to May 20, 2011
Organizers: Brian Conrey (American Institute of Mathematics), John Cremona (University of Warwick, United Kingdom), Barry Mazur (Harvard University), Michael Rubinstein* (University of Waterloo, Canada ), Peter Sarnak (Princeton University), Nina Snaith (University of Bristol, United Kingdom), and William Stein (University of Washington)
L -functions attached to modular forms and/or to algebraic varieties and algebraic number fields are prominent in quite a wide range of number theoretic issues, and our recent growth of understanding of the analytic properties of L-functions has already lead to profound applications regarding among other things the statistics related to arithmetic problems. This program will emphasize statistical aspects of L-functions, modular forms, and associated arithmetic and algebraic objects from several different perspectives — theoretical, algorithmic, and experimental.
August 16, 2010
to December 17, 2010
Organizers: Jinho Baik (University of Michigan), Alexei Borodin (California Institute of Technology), Percy A. Deift* (New York University, Courant Institute), Alice Guionnet (École Normale Supérieure de Lyon, France), Craig A. Tracy (University of California, Davis), and Pierre van Moerbeke, (Université Catholique de Louvain, Belgium)
The goal of this program is to showcase the many remarkable developments that have taken place in the past decade in Random Matrix Theory (RMT) and to spur on further developments on RMT and the related areas Interacting Particle Systems (IPS) and Integrable Systems (IS): IPS provides an arena in which RMT behavior is frequently observed, and IS provides tools which are often useful in analyzing RMT and IPS/RMT behavior.
August 16, 2010
to December 17, 2010
Organizers: Liliana Borcea (Rice University), Maarten V. de Hoop (Purdue University), Carlos E. Kenig (University of Chicago), Peter Kuchment (Texas A&M University), Lassi Päivärinta (University of Helsinki, Finland), Gunther Uhlmann* (University of Washington), and Maciej Zworski (University of California, Berkeley)
Inverse Problems are problems where causes for a desired or an observed effect are to be determined. They lie at the heart of scientific inquiry and technological development. Applications include a number of medical as
well as other imaging techniques, location of oil and mineral deposits in the earth's substructure, creation of astrophysical images from telescope data, finding cracks and interfaces within materials, shape optimization,
model identification in growth processes and, more recently, modelling in the life sciences. During the last 10 years or so there has been significant developments both in the mathematical theory and applications of inverse problems. The purpose of the program would be to bring together people working on different aspects of the field, to appraise the current status of development and to encourage interaction between mathematicians and scientists and engineers working directly with the applications.
January 11, 2010
to May 21, 2010
Organizers: Mikhail Khovanov (Columbia University), Dusa McDuff (Barnard College), Peter Ozsváth* (Columbia University), Lev Rozansky (University of North Carolina), Peter Teichner (University of California, Berkeley), Dylan Thurston (Barnard College), and Zoltan Szabó (Princeton University)
The aims of this program will be to achieve the following goals:
- Promote communication with related disciplines, including the symplectic geometry program in 2009-2010.
- Lead to new breakthroughs in the subject and find new applications to low dimensional topology (knot theory, three-manifold topology, and smooth four manifold topology).
- Educate a new generation of graduate students and PhD students in this exciting and rapidly-changing subject.
The program will focus on algebraic link homology and Heegaard Floer homology.
August 17, 2009
to December 18, 2009
Organizers: Eva-Maria Feichtner *(University of Bremen), Ilia Itenberg (Institut de Recherche Mathématique Avancée de Strasbourg), Grigory Mikhalkin (Université de Genève), and Bernd Sturmfels (UCB - University of California, Berkeley)
Tropical Geometry is the algebraic geometry over the min-plus algebra. It is a young subject that in recent years has both established itself as an area of its own right and unveiled its deep connections to numerous branches of pure and applied mathematics. From an algebraic geometric point of view, algebraic varieties over a field with non-archimedean valuation are replaced by polyhedral complexes, thereby retaining much of the information about the original varieties. From the point of view of complex geometry, the geometric combinatorial structure of tropical varieties is a maximal degeneration of a complex structure on a manifold.
The tropical transition from objects of algebraic geometry to the polyhedral realm is an extension of the classical theory of toric varieties. It opens problems on algebraic varieties to a completely new set of techniques, and has already led to remarkable results in Enumerative Algebraic Geometry, Dynamical Systems and Computational Algebra, among other fields, and to applications in Algebraic Statistics and Statistical Physics.
August 17, 2009
to May 21, 2010
Organizers: Yakov Eliashberg *(Stanford University), John Etnyre (Georgia Institute of Technology), Eleny-Nicoleta Ionel (Stanford University), Dusa McDuff (Barnard College), and Paul Seidel (Massachusetts Institute of Technology)
In the slightly more than two decades that have elapsed since the fields of Symplectic and Contact Topology were created, the field has grown enormously and unforeseen new connections within Mathematics and Physics have been found. The goals of the 2009-10 program at MSRI are to:
I. Promote the cross-pollination of ideas between different areas of symplectic and contact geometry;
II. Help assess and formulate the main outstanding fundamental problems and directions in the field;
III. Lead to new breakthroughs and solutions of some of the main problems in the area;
IV. Discover new applications of symplectic and contact geometry in mathematics and physics;
V. Educate a new generation of young mathematicians, giving them a broader view of the subject and the capability to employ techniques from different areas in their research.
January 12, 2009
to May 22, 2009
Organizers: William Fulton (University of Michigan), Joe Harris (Harvard University), Brendan Hassett (Rice University), János Kollár (Princeton University), Sándor Kovács* (University of Washington), Robert Lazarsfeld (University of Michigan), and Ravi Vakil (Stanford University)
Algebraic geometry has long been a central subject, with deep and substantial connections to almost every aspect of modern mathematics. There are numerous different approaches to the field, utilizing widely varying technical tools: Commutative algebra, complex ...
August 18, 2008
to December 19, 2008
Organizers: Gilles Carron (University of Nantes), Eugenie Hunsicker (Loughborough University), Richard Melrose (Massachusetts Institute of Technology), Michael Taylor (Andras VasyUniversity of North Carolina, Chapel Hill), and Jared Wunsch (Northwestern University)
A central problem in modern mathematics is that of extending analytic constructions which are well understood in the setting of smooth compact manifolds to a broader class of spaces which are allowed to be singular. Such objects arise naturally in many geometric ...
August 18, 2008
to December 19, 2008
Organizers: Ben Green (University of Cambridge), Bryna Kra (Northwestern University), Emmanuel Lesigne (University of Tours), Anthony Quas (University of Victoria), Mate Wierdl (University of Memphis)
Much recent work in ergodic theory has been motivated by interactions with combinatorics and with number theory. A particular is example is Szemerédi's Theorem, which states that a set of integers with positive upper density contains arbitrarily ...
January 14, 2008
to May 23, 2008
Organizers: J. L. Alperin, M. Broue, J. F. Carlson, A. Kleshchev, J. Rickard, B. Srinivasan
Current research centers on many open questions, i.e., representations over the integers or rings of positive characteristic, correspondence of characters and derived equivalences of blocks. Recently we have seen active interactions in group cohomology involving many areas of topology and algebra. The focus of this program will be on these areas with the goal of fostering emerging interdisciplinary connections among them.
January 14, 2008
to May 23, 2008
Organizers: P. Diaconis, A. Kleshchev, B. Leclerc, P. Littelmann, A. Ram, A. Schilling, R. Stanley
Recent catalysts stimulating growth of this field in the last few decades have been the discovery of "crystals" and the development of the combinatorics of affine Lie groups.. Today the subject intersects several fields: combinatorics, representation theory, analysis, algebraic geometry, Lie theory, and mathematical physics. The goal of this program is to bring together experts in these areas together in one interdisciplinary setting.
August 20, 2007
to December 14, 2007
Organizers: Mladen Bestvina, Jon McCammond, Michah Sageev, Karen Vogtmann
In the 1980’s, attention to the geometric structures which cell complexes can carry shed light on earlier combinatorial and topological investigations into group theory, stimulating other provacative and innovative ideas over the past 20 years. As a consequence, geometric group theory has developed many different facets, including geometry, topology, analysis, logic.
August 20, 2007
to December 14, 2007
Organizers: Jeffrey Brock, Richard Canary, Howard Masur, Maryam Mirzakhani, Alan Reid
These fields have each seen recent dramatic changes: new techniques developed, major conjectures solved, and new directions and connections forged. Yet progress has been made in parallel without the level of communication across these two fields that is warranted. This program will address the need to strengthen connections between these two fields, and reassess new directions for each.
January 8, 2007
to May 25, 2007
Organizers: Christopher Jones, Jonathan Mattingly, Igor Mezic, Andrew Stuart, Lai-Sang Young
This program will take place at the interface of the theory and applications of dynamical systems. The goal will be to assess the current state-of-the-art and define directions for future research. Mathematicians who are developing a new generation of ideas in dynamical systems will be brought together with researchers who are using the techniques of dynamical systems in applied areas. A wide range of applications will be considered through four contextual settings around which the program will be organized. Some of the areas of concentration have greater emphasis on extending existing ideas in dynamical systems theory, rendering them more suitable for applications. Others are more directed toward seeking out potential areas of applications in which dynamical systems is likely to have a bigger role to play.
The four themes that will mold the semester are: (1) Extended dynamical systems, (2) Stochastic dynamical systems, (3) Control theory, and (4) Computation and modeling. The introductory workshop, which will be held in mid-January, will emphasize extended dynamical systems that occur as high-dimensional systems, such as on lattices or as partial differential equations. There will be a workshop on stochastic systems and control theory in March. The last theme will pervade the semester through seminar and working group activities.
August 14, 2006
to May 25, 2007
Organizers: Bennett Chow, Panagiota Daskalopoulos, Gerhardt Huisken, Peter Li, Lei Ni, Gang Tian
The focus will be on geometric evolution equations, function theory and related elliptic and parabolic equations. Geometric flows have been applied to a variety of geometric, topological, analytical and physical problems. Linear and nonlinear elliptic and parabolic partial differential equations have been studied by continuous, discrete and computational methods. There are deep connections between the geometry and analysis of Riemannian and Kähler manifolds.
August 14, 2006
to December 15, 2006
Organizers: Gunnar Carlsson, Persi Diaconis, Susan Holmes, Rick Jardine, Günter M. Ziegler
Algebraic topology provides measures for global qualitative features of geometric and combinatorial objects that are stable under deformations, and relatively insensitive to local details. This makes topology into a useful tool for understanding qualitative ...
January 9, 2006
to May 19, 2006
Organizers: Fedor Bogomolov, Jean-Louis Colliot-Thélène, Bjorn Poonen, Alice Silverberg, Yuri Tschinkel
Our focus will be rational and integral points on varieties of dimension > 1. Recently it has become clear that many branches of mathematics can be brought to bear on problems in the area: complex algebraic geometry, Galois and 4etale cohomology, transcendence theory and diophantine approximation, harmonic analysis, automorphic forms, and analytic number theory. Sometimes it is only by combining techniques that progress is made. We will bring together researchers from these various fields who have an interest in arithmetic applications, as well as specialists in arithmetic geometry itself.
January 9, 2006
to May 26, 2006
Organizers: M. Aganagic, R. Cohen, P. Horava, A. Klemm, J. Morava, H. Nakajima, Y. Ruan
The interplay between quantum field theory and mathematics during the past several decades has led to new concepts of mathematics, which will be explored and developed in this program. This includes: Stringy topology, branes and orbifolds, Generalized McKay correspondences and representation theory and Gromov-Witten theory.
August 15, 2005
to December 16, 2005
Organizers: Carlos Kenig, Sergiu Klainerman, Christophe Sogge, Gigliola Staffilani, Daniel Tataru
The field of nonlinear dispersive equations has experienced a striking evolution over the last fifteen years. During that time many new ideas and techniques emerged, enabling one to work on problems which until quite recently seemed untouchable. The evolution process for this field has itsorigin in two ways of quantitatively measuring dispersion. One comes from harmonic analysis, which is used to establish certain dispersive (Lp) estimates for solutions to linear equations. The second has geometrical roots, namely in the analysis of vector fields generating the Lorentz groupassociated to the linear wave equation. Our semester program in nonlinear dispersive equations will bring together leading experts in both of these directions.
August 15, 2005
to December 16, 2005
Organizers: Xavier Cabré, Luis Caffarelli, Lawrence C. Evans, Cristian Gutiérrez, Lihe Wang, Paul Yang
The research in nonlinear elliptic equations is one of the most developed in Mathematics, and of great importance because of its interaction with other areas within Mathematics and for its applications in broader scientific disciplines such as fluid dynamics, phase transitions, mathematical finance and image processing in computer science.
August 6, 2005
to August 20, 2005
Organizers: Mathias Beck and Sinai Robins
The objective of the summer school is to introduce students to a vital area of mathematics which exemplifies the interaction between different mathematical subjects, as well as the interaction between theoretical and computational aspects of mathematics. The ...
July 25, 2005
to August 5, 2005
Organizers: John D’Angelo
CR Geometry is a developing branch of mathematics which arose from the theory of functions of several complex variables and which touches nearly all fields of mathematics. The name itself has two etymologies: CR stands for Cauchy-Riemann and suggests the Cauchy-Riemann ...
June 20, 2005
to July 15, 2005
Organizers: Gang Tian, John Lott, John Morgan, Bennett Chow, Tobias Colding, Jim Carlson, David Ellwood, Hugo Rossi
Graduate Students from MSRI Sponsoring Institutions may benominated to participate in this program.
June 20, 2005
to June 30, 2005
Organizers: Anurag Singh and Uli Walther
Graduate Students from MSRI Sponsoring Institutions may benominated to participate in this program.
June 19, 2005
to July 1, 2005
Organizers: David Austin, Bill Casselman and Jim Fix
This workshop will introduce sophisticated techniques of computer graphics for use to explain mathematics in research articles, course notes, and presentations. It will begin with an introduction to graphics algorithms, and the languages PostScript and Java. ...
June 18, 2005
to June 22, 2005
Organizers: Sándor Kovács, Tony Pantev, and Ravi Vakil
Graduate Students from MSRI Sponsoring Institutions may benominated to participate in this program.
January 3, 2005
to May 15, 2005
Organizers: Yuval Peres (co-chair), Alistair Sinclair (co-chair), David Aldous, Claire Kenyon, Harry Kesten, Jon Kleinberg, Fabio Martinelli, Alan Sokal, Peter Winkler, Uri Zwick
In the last decade, key notions from statistical physics, such as 'phase transition' and 'critical exponents' are being applied to a variety of questions in computational complexity, the analysis of algorithms, and real-world random networks. ...
January 3, 2005
to May 13, 2005
Organizers: David Mumford (Brown University), Jitendra Malik (University of California, Berkeley), Donald Geman (John Hopkins University) and David Donoho (Stanford University)
The field of image analysis is one of the newest and most active sources of inspiration for applied mathematics. Present day mathematical challenges in image analysis span a wide range of mathematical territory.
August 16, 2004
to December 17, 2004
Organizers: Michael Falk, Phil Hanlon, Toshitake Kohno, Peter Orlik, Alexander Varchenko, Sergey Yuzvinsky
The theory of complex hyperplane arrangements has undergone tremendous growth since its beginnings thirty years ago in the work of Arnol'd, Breiskorn, Deligne, and Hattori. Connections with generalized hypergeometric functions, conformal field theory, representations of braid groups, and other areas have stimulated fascinating research into topology of arrangement complements. Topological research leads in turn to many new combinatorial and algebraic questions about arrangements.
August 2, 2004
to August 13, 2004
Organizers: Sergey Yuzvinsky
This MSRI Summer Graduate Program at the University of Oregon will provide an introduction to the material to be covered in the fall, 2004 MSRI program on Hyperplane Arrangements and Applications. See the program page for more information on the content.
July 7, 2004
to July 20, 2004
Organizers: Steven Boyer, Roger A Fenn and Dale Rolfsen
Open only to graduate students nominated by MSRI's Academic Sponsors.
June 2, 2004
to June 11, 2004
Organizers: P. Flajolet, G. Seroussi, W. Szpankowski, and M. Weinberger
Please note, MSRI's Summer Graduate Programs are open only to students nominated by MSRI's Academic Sponsor universities.
January 2, 2004
to May 14, 2004
Organizers: Selman Akbulut, Grisha Mikhalkin, Victoria Powers, Boris Shapiro, Frank Sottile (chair), and Oleg Viro
The topological approach to real algebraic geometry is due to Hilbert who realized the advantages of considering topological properties of real algebraic plane curves. Much progress on Hilbert's work was achieved in the 1970's by the schools of Rokhlin and Arnold, including new objects and questions on complexification and complex algebraic geometry, relation to piecewise linear geometry and combinatorics, and enumerative geometry. This continues today with new topics such as amoebas, new connections such as that with symplectic geometry, and new challenges such as those posed by real polynomial systems.
August 11, 2003
to May 15, 2004
Organizers: Robert Bryant (co-chair), Frances Kirwan, Peter Petersen, Richard Schoen, Isadore Singer, and Gang Tian (co-chair)
As classical as the subject is, it is currently undergoing a very vigorous development, interacting strongly with theoretical physics, mechanics, topology, algebraic geometry, partial differential equations, the calculus of variations, integrable systems, and many other subjects. The five main topics on which we propose to concentrate the program are areas that have shown considerable growth in the last ten years: Complex geometry, calibrated geometries and special holonomy; Geometric analysis; Symplectic geometry and gauge theory; Geometry and physics; Riemannian and metric geometry.
August 11, 2003
to December 19, 2003
Organizers: Jesús A. De Loera, Herbert Edelsbrunner, Jacob E. Goodman, János Pach, Micha Sharir, Emo Welzl, and Günter M. Ziegler
Discrete and Computational Geometry deals with the structure and complexity of discrete geometric objects as well with the design of efficient computer algorithms for their manipulation. This area is by its nature interdisciplinary and has relations to many other vital mathematical fields, such as algebraic geometry, topology, combinatorics, and probability theory; at the same time it is on the cutting edge of modern applications such as geographic information systems, mathematical programming, coding theory, solid modeling, and computational structural biology.
July 21, 2003
to July 31, 2003
Organizers: Jesús A. De Loera, Jörg Rambau, and Francisco Santos
Please note, MSRI's Summer Graduate Programs are open only to students nominated by MSRI's Academic Sponsor universities.
July 14, 2003
to July 25, 2003
Organizers: Bill Casselman and David Austin
Please note, MSRI's Summer Graduate Programs are open only to students nominated by MSRI's Academic Sponsor universities.
January 2, 2003
to May 16, 2003
Organizers: Robert Littlejohn, William H. Miller, Johannes Sjorstrand, Steven Zelditch, and Maciej Zworski
The traditional mathematical study of semi-classical analysis has developed tremendously in the last thirty years following the introduction of microlocal analysis, that is local analysis in phase space, simultaneously in the space and Fourier transform variables. The purpose of this program is to bring together experts in traditional mathematical semi-classical analysis, in the new mathematics of "quantum chaos," and in physics and theoretical chemistry.
August 12, 2002
to May 16, 2003
Organizers: Luchezar Avramov, Mark Green, Craig Huneke, Karen E. Smith and Bernd Sturmfels
Commutative algebra comes from several sources, the 19th century theory of equations, number theory, invariant theory and algebraic geometry. The field has experienced a striking evolution over the last fifteen years. During that period the outlook of the subject has been altered, new connections to other areas have been established, and powerful techniques have been developed.
August 12, 2002
to December 20, 2002
Organizers: Dorit Aharonov, Charles Bennett, Richard Jozsa, Yuri Manin, Peter Shor, and Umesh Vazirani (chair)
Quantum computation is an intellectually challenging and exciting area that touches on the foundations of both computer science and quantum physics.
July 23, 2002
to August 9, 2002
Organizers: Stanley A. Berger, Giovanni P. Galdi (co-chair), Charles S. Peskin, Alfio Quarteroni, Anne M. Robertson (co-chair), Adélia Sequeira, and Howard Yonas
Summer Graduate Program -- open only to students nominated by MSRI's Academic Sponsor universities.
June 17, 2002
to June 28, 2002
Organizers: Peter Borwein and Michael Filaseta
Summer Graduate Program -- open only to students nominated by MSRI's Academic Sponsor universities, to be held in Vancouver, BC, Canada at the Pacific Institute of Mathematics facility of Simon Fraser University.
January 7, 2002
to May 17, 2002
Organizers: E. Frenkel, V. Kac, I. Penkov, V. Serganova, G. Zuckerman
This program will discuss recent progress in the representation theory of infinite-dimensional algebras and superalgebras and their applications to other fields.
January 7, 2002
to May 17, 2002
Organizers: W. Fulton, L. Katzarkov, M. Kontsevich, Y. Manin,R. Pandharipande, T. Pantev, C. Simpson and A. Vistoli
Algebraic stacks originally arose as solutions to moduli problems in which they were used to parametrize geometric objects in families.They have also arisen in studying homological properties of quotient singularities, non-abelian Hodge theory, string theory, etc. This program will focus on intersection theory on stacks, non-abelian Hodge theory and geometric n-stacks, perverse sheaves on stacks and the geometric Langlands program, D-brane charges in string theory, and moduli of gerbes and mirror symmetry.
August 13, 2001
to December 14, 2001
Organizers: L. Barchini, S. Gindikin, A. Goncharov and J. Wolf
This program will focus on recent advances in integral geometry,with a focus on theinterrelationships between integral geometry and the theory ofrepresentations (Penrosetransform in flag domains, horospherical transforms), complex geometry, symplectic geometry,algebraic analysis, and nonlinear differential equations.
There will be an Introductory Workshop in Inverse Problems and Integral Geometry August 13-24
August 13, 2001
to December 14, 2001
Organizers: D. Colton, J. McLaughlin, W. Symes and G. Uhlmann
In the last twenty years or so there have been substantial developments in the mathematical theory of inverse problems,and applications have arisen in many areas, ranging from geophysics to medical imaging to non-destructive evaluation of materials. The main topics of this program will be developments in inverse boundary value problems, and inverse scattering problems.
There will be an Introductory Workshop in Inverse Problems and Integral Geometry August 13-24
June 25, 2001
to July 6, 2001
Organizers: Joel Hass and David Hoffman
MSRI's second Graduate Summer Program for 2001.
June 4, 2001
to June 15, 2001
Organizers: Dan Rockmore and Dennis Healy
MSRI's Summer Graduate Program I This summer graduate program, organized by Dan Rockmore and Dennis Healy, Jr., will introduce students to the world of signal processing. The course will cover standard tools of digital signal processing, but will also cover the exciting frontiers of the subject, including wavelets, ISP (integrated sensing and processing), image processing algorithms, etc. In addition, students will be briefly exposed to applications in various areas, such as biology, chemistry, medicine, music, and engineering.
January 1, 2001
to May 11, 2001
Organizers: Tom Branson, S.-Y. Alice Chang, Rafe Mazzeo and Kate Okikiolu
The past few decades have witnessed many new developments in the broad area of spectral theory of geometric operators, centered around the study of new spectral invariants and their application to problems in conformal geometry, classification of 4-manifolds, index theory, relationship with scattering theory and other topics. This program will bring together people working on different problems in these areas.
August 15, 2000
to May 15, 2001
Organizers: C. Anantharaman-Delaroche, H. Araki, A. Connes, J. Cuntz, E.G. Effros, U. Haagerup, V.F.R. Jones , M.A. Rieffel and D.V. Voiculescu
The noncommutative mathematics of operator algebras has grown in many directions and has made unexpected connections with other parts of mathematics and physics. Since the 1984-85 MSRI program in Operator Algebras, developments have continued at a rapid pace, and interactions with other fields such as elementary particle physics and quantum groups continue to grow.
August 14, 2000
to December 15, 2000
Organizers: Joe Buhler, Cynthia Dwork, Hendrik Lenstra Jr., Andrew Odlyzko, Bjorn Poonen and Noriko Yui
Number theorists have always made calculations, whether by hand, desk calculator, or computer. In recent years this predilection has extended in many directions, and has been reinforced by interest from other fields such as computer science, cryptography, and algebraic geometry. The Algorithmic Number Theory program at MSRI will cover these developments broadly, with an eye to making connections to some of these other areas.
July 10, 2000
to July 21, 2000
Organizers: E. Berlekamp, D. Wolfe
SUMMER GRADUATE PROGRAMFor more information about this program, please see the original web page at:http://www.msri.org/calendar/sgp/sgp2/index.html
June 12, 2000
to June 23, 2000
Organizers: Nicholas R. Cozzarelli, Michael Levitt, Wilma Olson, De Witt Sumners
SUMMER GRADUATE PROGRAMFor more information about this program, please see the original web page at:http://www.msri.org/calendar/workshops/9900/Molecular_and_Cell_Biology/index.html
March 6, 2000
to April 28, 2000
Organizers: Ivo Babuska, M. Vogelius, L. Wahlbin, R. Bank and D. Arnold
For more information about this program, please see the original web page at:http://www.msri.org/activities/programs/9900/fem/index.html
August 1, 1999
to June 30, 2000
Organizers: Michael Artin, Susan Montgomery, Claudio Procesi, Lance Small, Toby Stafford, Efim Zelmanov
For more information about this program, please see the original web page at:http://www.msri.org/activities/programs/9900/noncomm/index.html
August 1, 1999
to December 31, 1999
Organizers: Eva Bayer, Michael Fried, David Harbater, Yasutaka Ihara, B. Heinrich Matzat, Michel Raynaud, John Thompson
For more information about this event, please see the original web page at:http://www.msri.org/activities/programs/9900/galois/index.html
July 12, 1999
to July 23, 1999
Organizers: Jeanne N. Clelland and Robert Bryant,
For more information, please see this programs original web page at http://www.msri.org/activities/events/9899/sgp99/bryant.html
June 21, 1999
to July 2, 1999
Organizers: L. Mahadevan and Anette Hosoi
For more information, please see the original program page at http://www.msri.org/activities/events/9899/sgp99/mahadevan.html
January 19, 1999
to June 11, 1999
Organizers: Pavel Bleher (co-Chair), Alan Edelman, Alexander Its (co-Chair), Craig Tracy and Harold Widom
For more information about this program, please see the program's original web page at http://www.msri.org/activities/programs/9899/random/index.html
August 10, 1998
to December 23, 1998
Organizers: Marie-Francoise Roy, Michael Singer (Chair) and Bernd Sturmfels
Please see the program webpage at http://www.msri.org/activities/programs/9899/symbcomp/index.html for more information.
August 10, 1998
to December 23, 1998
Organizers: Felipe Cucker (co-Chair), Arieh Iserles (co-Chair), Tien Yien Li, Mike Overton, Jim Renegar, Mike Shub (co-Chair), Steve Smale, and Andrew Stuart
Please see the program's webpage at http://www.msri.org/activities/programs/9899/focm/index.html for more information.
July 2, 1998
to July 17, 1998
Organizers: David Bayer, Sorin Popescu
No Information AvailableSummer Graduate Program, Algorithmic Algebra and Geometry July 6, 1998 to July 17, 1998
January 5, 1998
to June 30, 1998
Organizers: Elisabeth Bouscaren, Lou van den Dries, Ehud Hrushovski, David Marker (co-Chair), Anand Pillay, Jose Felipe Voloch, and Carol Wood (co-Chair)
Please see the program webpage at http://www.msri.org/activities/programs/9798/mtf/index.html for more information about this program.
August 11, 1997
to June 30, 1998
Organizers: R. Banuelos, S. Evans, P. Fitzsimmons, E. Pardoux, D. Stroock, and R. Williams
Please see the program webpage at http://www.msri.org/activities/programs/9798/sa/index.html for more information.
August 11, 1997
to December 19, 1997
Organizers: Michael Christ, David Jerison, Carlos Kenig (Chair), Jill Pipher, and Elias Stein.
Please see the program webpage at http://www.msri.org/activities/programs/9798/ha/index.html for more information.
June 16, 1997
to June 27, 1997
Organizers: Neal Koblitz, Alfred Menezes
No Information Available
September 1, 1996
to May 30, 1997
Organizers: Louis Billera, Anders Bjorner, Curtis Greene, Rodica Simion, and Richard Stanley (Chair)
Please see the program webpage at http://www.msri.org/activities/programs/9697/comb/index.html for more information.
August 26, 1996
to July 30, 1997
Organizers: Joan Birman, Andrew Casson, Robion Kirby (Chair), and Ron Stern
Please see the program webpage at http://www.msri.org/activities/programs/9697/ldt/index.html for more information.
July 15, 1996
to July 26, 1996
Organizers: Dave Bayer, Ilan Vardi, John Strain
No information is available
January 2, 1996
to July 30, 1996
Organizers: Keith Ball, Eric Carlen, Erwin Lutwak, V. D. Milman, E. Odell, and N. Tomczak.
August 25, 1995
to December 23, 1995
Organizers: Sheldon Axler (co-Chair), John McCarthy (co-Chair), Don Sarason (co-Chair), Joseph Ball, Nikolai Nikolskii, Mihai Putinar, and Cora Sadosky
Please see the program webpage at http://www.msri.org/activities/programs/9596/hs/ for more information.
August 23, 1995
to July 30, 1996
Organizers: Jean-Pierre Demailly, Joseph J. Kohn, Junjiro Noguchi, Linda Rothschild, Michael Schneider, and Yum-Tong Siu (Chair)
Please see the program webpage at http://www.msri.org/activities/programs/9596/scv/ for more information.
July 24, 1995
to August 4, 1995
Organizers: Persi Diaconis, Laurent Saloff-Coste
No Information Available
January 1, 1995
to July 31, 1995
Organizers: Bodil Branner, Steve Kerckhoff, Mikhail Lyubich, Curt McMullen (chair), and John Smillie
No information on this program is currently available online
August 1, 1994
to July 31, 1995
Organizers: Daniel Bump, Stephen Gelbart, Dennis Hejhal, Jeff Hoffstein (co-chairman), Steve Rallis (co-chairman), and Marie- France Vigneras
No information on this program is currently available online
August 1, 1994
to August 12, 1994
Organizers: William P. Thurston, Jane Gilman, David Epstein
No Information Available
January 1, 1994
to July 31, 1994
Organizers: Percy Deift (co-chairman), Philip Holmes, James Hyman, David Levermore, David McLaughlin (co-chairman), Clarence Eugene Wayne
No information on this program is currently available online
August 1, 1993
to July 31, 1994
Organizers: Werner Ballman, Raoul Bott, Carolyn Gordon, Mikhael Gromov, Karsten Grove, Blaine Lawson (chairman), Richard Schoen
July 28, 1993
to August 10, 1993
Organizers: Dan Bump, Dinakar Ramakrishnan
No Information Available
January 1, 1993
to July 31, 1993
Organizers: A. Baker (co-chairman), W. Brownawell, W. Schmidt (co- chairman), P. Vojta
No information on this program is currently available online
August 1, 1992
to July 31, 1993
Organizers: E. Arbarello, A. Beauville, A. Beilinson, J. Harris, W. Fulton, J. Kollar, S. Mori, J. Steenbrink, H. Clemens & J. Kollar
August 1, 1992
to December 31, 1992
Organizers: R. Adler (chairman), J. Franks, D. Lind, S. Williams
July 1, 1992
to September 1, 1992
Organizers: N. Kopell, C. Peskin, M. Reed (chairman), J. Rinzel
August 1, 1991
to July 31, 1992
Organizers: H. Furstenberg, M. Ratner, P. Sarnak, R. Zimmer (chairman)
August 1, 1991
to July 31, 1992
Organizers: P. Bickel (chairman), L. LeCam, D. Siegmund, T. Speed
July 8, 1991
to July 18, 1991
Organizers: Rob Kirby, Ron Stern
No Infomation Available
January 1, 1991
to July 31, 1991
Organizers: O. Alvarez, D. Friedan, G. Moore, I.M. Singer (chairman), G. Segal, C. Taubes
August 1, 1990
to July 31, 1991
Organizers: L.C. Evans, A. Majda (chairman), G. Papanicolaou, T. Spencer
August 1, 1990
to December 31, 1990
Organizers: J. Alperin, C. Curtis (chairman), W. Feit, P. Fong
August 1, 1989
to July 31, 1990
Organizers: L. Harrington, A. Macintyre, D.A. Martin (chairman), R. Shore
August 1, 1989
to July 31, 1990
Organizers: R. Cohen (chairman), G. Carlsson, W.-C. Hsiang, J.D.S. Jones
August 1, 1988
to July 31, 1989
Organizers: R. Devaney, V. Guillemin (co-chairman), H. Flaschka, A. Weinstein (co-chairman)
August 1, 1988
to July 31, 1989
Organizers: S. Adian, K. Brown, S. Gersten, J. Stallings (chairman)
August 1, 1987
to July 31, 1988
Organizers: C. Fefferman, E. Stein (chairman), G. Weiss
August 1, 1987
to July 31, 1988
Organizers: W. Schmid, D. Vogan, J. Wolf (chairman)
August 1, 1986
to July 31, 1987
Organizers: B. Gross (chairman), N. Katz, B. Mazur, K. Ribet, J. Tate
January 1, 1986
to July 31, 1986
Organizers: D. Drasin, F. Gehring (chairman), I. Kra, A. Marden
August 1, 1985
to July 31, 1986
Organizers: K. Arrow, G. Debreu (chairman), A. Mas-Colell
August 1, 1985
to July 31, 1986
Organizers: R. Graham, R. Karp (co-chairman), S. Smale (co-chairman)
August 1, 1984
to July 31, 1985
Organizers: R. Edwards (chairman), R. Kirby, J. Morgan, W. Thurston
August 1, 1984
to July 31, 1985
Organizers: A. Connes (chairman), R. Douglas, M. Takesaki
August 1, 1984
to July 31, 1985
Organizers: S.-S. Chern (chairman), B. Lawson, I. M. Singer (miniprogram)
August 1, 1983
to July 31, 1984
Organizers: H. Garland, I. Kaplansky (chairman), B. Kostant
August 1, 1983
to July 31, 1984
Organizers: J. Feldman (chairman), J. Franks, A. Katok, J. Moser, R. Temam
August 1, 1982
to July 31, 1983
Organizers: L. LeCam, D. Siegmund (chairman), C. Stone
August 1, 1982
to July 31, 1983
Organizers: A. Chorin, I. M. Singer (chairman), S.-T. Yau
