Special Years

During the 2022-2023 academic year, the School will have a special program on Applications of Dynamics in Number Theory and Algebraic Geometry. Tamar Ziegler of the Hebrew University in Jerusalem will be the Distinguished Visiting Professor...

During the 2021-22 academic year the School will have a special program on the h-principle and its applications to problems in analysis and geometry, organized by Camillo De Lellis and László Székelyhidi Jr., who will be the Distinguished Visiting...

During the 2020-2021 academic year, the School had a special program on Geometric and Modular Representation Theory. Geordie Williamson of the University of Sydney was the Distinguished Visiting Professor.

Confirmed senior participants for Term I...

The special year was led by Sanjeev Arora, Charles Fitzmorris Professor of Computer Science at Princeton University, with a dual appointment at IAS in 2017-2019 (Visiting Professor) and 2019-2020 (Distinguished Visiting Professor).

During the 2018-19 academic year, the School had a special program on Variational Methods in Geometry. Fernando Codá Marques of Princeton University was the Distinguished Visiting Professor.

Confirmed senior participants for Term I: Ailana Fraser...

There were two workshops during the academic year. The term I workshop, "Motives, Galois representations and cohomology around the Langlands program", was held November 6-10, 2017. The term II workshop "Representation Theory and Analysis on...

HMS started with Kontsevich's 1994 ICM address. By now, it is a mature area of mathematics in its own right, but still one that can be approached from many different...

During the 2015-16 academic year, the School of Mathematics conducted a special program on Geometric Structures on 3-Manifolds. The program was led by Distinguished Visiting Professor Ian Agol of the University of California at Berkeley. The theme...

The Topology of Algebraic Varieties, 2014-15

Claire Voisin, Institut de Mathématiques de Jussieu, was the School's Distinguished Visiting Professor during the 2014-15 academic year. Professor Voisin led a special program on "The Topology of Algebraic...

Non-equilibrium Dynamics and Random Matrices, 2013-14

Over the past few decades there has been considerable progress in the mathematical analysis of equilbrium statistical mechanics. However, non-equilibrium dynamics is still at early stages of its...

Coorganized by

Steve Awodey (IAS/CMU),
Thierry Coquand (IAS/University of Gothenburg) and
Vladimir Voevodsky (IAS).

10 Year Impact Statement

The mathematical theory of dynamical systems provides tools to understand the complex behavior of many important physical systems. Of particular interest are Hamiltonian systems. Since Poincaré's fundamental contributions many mathematical tools have...

During the 2010-2011 academic year, Richard Taylor of Harvard University was the School's Distinguished Visiting Professor. He led a program on Galois Representations and Automorphic Forms.

The program embraced all aspects of the conjectural...

There was a small program during the second term (spring) of the 2009-2010 year on $A^1$-Homotopy Theory and its recent developments. Two directions were emphasized during this program: the proof of Bloch-Kato conjecture on Galois cohomology and...

During the academic year of 2009-2010, Enrico Bombieri of the School and Peter Sarnak of Princeton University/Institute for Advanced Study led a program on analytic number theory.

The program had an emphasis on analytic aspects, and particular topics...

Organizer: Alice Chang (Princeton University)

The special program for the academic year 2008-09 was on geometric PDE. The emphasis was on non-linear partial differential equations with applications to problems in differential, conformal and convex...

Mini Conference December 10-12th

During term I of the year, School faculty member Jean Bourgain and Van Vu of Rutgers University led a program on arithmetic combinatorics. The following is preliminary information about the program.

Additive...

During the 2007-08 academic year, Roman Bezrukavnikov of MIT led the special program on algebraic geometry and physics in representation theory.

The focus of the year was on related recent developments in representation theory, algebraic geometry and...

During the academic year 2006-07, the School of Mathematics had a special program on algebraic geometry. The focus was not on any single aspect, but rather aimed to have many flavors of algebraic geometry and its applications represented, including...

In recent years new and important connections have emerged between discrete subgroups of Lie groups, automorphic forms and arithmetic on the one hand, and questions in discrete mathematics, combinatorics, and graph theory on the other. One of the...

During the academic year 2004-2005 the School of Mathematics hosted a program on the Bloch-Kato conjecture relating Milnor's

K-theory and the etale cohomology. The activities of the program included two or more weekly courses which covered the proof...

The main emphasis was on recent developments in non-linear PDE's and the related analysis. This includes themes such as dispersive Hamiltonian equations with critical nonlinearity, the structure of singularity formations for NLS and generalized KDV...

During the 2002-2003 academic year IAS conducted a program in statistical models of turbulence. Weinan E and Gregory Falkovich were in residence for the year, and in related areas, John Ball was also at the Institute.

Although the problem of 3...

The goal of the program was to explore different aspects of the theory of holomorphic curves and their interaction. A special accent was made on applications to Symplectic geometry in low-dimensional topology.

• Weekly seminar on...

James Arthur from the University of Toronto was in residence at the Institute for the academic year 2000-01 and gave an advanced course on the trace formula and applications. In addition, Robert Kottwitz, Diana Shelstad, M. -F. Vigneras, G. Henniart...

Park City Mathematics Institute

During the academic year 2000-2001, the School of Mathematics hosted a special program on computational complexity theory at the Institute for Advanced Study. Several senior researchers were in residence at the Institute for the year, as well as a...

The seminar on Combinatorics and Theoretical Computer Science at the Institute for Advanced Study took place every Monday at 11 a.m. in room 101, the seminar room in Simonyi Hall.

• Monday, 27 September 1999
  Michael Saks, Rutgers University
  An...

$A^1$-homotopy theory is the homotopy theory for algebraic varieties and more generally for schemes which is based on the analogy between the affine line and the unit interval. During this special year we concentrated on two topics. One was the...

During this academic year, Henryk Iwaniec and Peter Sarnak were in residence at the Institute for Advanced Study and there was a program with the purpose to bring together specialists in analytic number theory and specialists in the analytic theory...

• Events

• About the motivic homotopy theory

Lectures on cross functors

by Vladimir Voevodsky,

Wed. 11am in Dilworth Room (first lecture Oct. 10)

For any category $C$ with fiber products and any 2-category $D$ we defined a class of cross...

The following is a list of seminars that were given in Term I and Term II:

• Monday, 28 September 1998
  Dana Ron, MIT
  A sublinear bipartite tester for bounded-degree graphs
  Abstract:

   

• Monday, 5 October 1998
  Luca Trevisan, Columbia University and...

During the 1998-99 academic year, George Lusztig was the School's Distinguished Visiting Professor and led a program in geometric methods in representation theory. Hiraku Nakajima was in residence for at least part of the year.

During the academic year 1997/98, primarily during the first semester when Michael Aizenman, Daniel Fisher and Thomas Spencer was in residence, there was a small program on...

During the academic year 1997-98, there was a full year program in Geometric PDE at the Institute. Karen Uhlebeck was in residence as Distinguished Visiting Professor for the year, and she served as primary organizer of the program.

The following is...

The activity in Combinatorics and Theoretical Computer Science at the Institute for Advanced Study resumed on Monday, September 29.

It took place on Mondays, and included:
The Combinatorics and Complexity Theory Seminar - Mondays 11 am, starting...

A program in Quantum Field Theory for mathematicians was held at the Institute for Advanced study during the academic year 1996-97. The participants and lecturers produced lecture notes and problem sets (and some solutions to problems) throughout the...