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Previous IMA Summer Program for Participating Institutions Graduate Students

2001 IMA PI Summer Program for Graduate Students on

"Poisson and Quantum Structures"

University of Cincinnati

June 18-July 13, 2001

Organizer: Timothy J. Hodges (Mathematical Sciences, University of Cincinnati)   http://math.uc.edu/~hodgestj/

Participant Feedback form

Abstracts  Daily Schedule   General Information  Registration (pdf format)

Date Speaker Topic
Week One:
June 18-22

Ken Meyer
University of Cincinnati

Classical Hamiltonian Systems
Week Two:
June 25 -29
Jiang-Hua Lu
University of Arizona
Introduction to Symplectic and Poisson Geometry
Week Three:
July 2 - 6
Tetsuji Miwa
Kyoto University
Physical Combinatorics
Week Four:
July 9 - 13
Michael Gekhtman
University of Notre Dame
Integrable Systems

List of Participants

Name Institution
Boyarchenko, Dmitriy University of Pennsylvania
Cheh, Jeongoo University of Minnesota
Chen, Kuo-Chang University of Minnesota
Cheng, Lan University of Pittsburgh
Diene, Adama University of Cincinnati
Endelman, Robin University of Cincinnati
Gonzalez, Corey University of Maryland, College Park
Hay, Damon University of Houston
Pun, Shu-Hoi University of Maryland, College Park
Riggs, Mark Mississippi State University
Shin, Yuho University of Kentucky
Slade, Charles Pennsylvania State University
Viola, Maria Grazia University of Iowa

2000 IMA PI Summer Program for Graduate Students:
"Number Theory"

Kent State University

Organizer: Morley Davidson (Kent State University)

June 26-July 21, 2000

Date Speaker Topic
Week One:
June 26-30
Morley Davidson
Kent State University
Additive Number Theory
Week Two:
July 3-7
Harold Diamond
University of Illinois at Urbana-Champaign
Analytic Number Theory
Week Three:
July 10-14
Peter D.T.A. Elliott
University of Colorado at Boulder
Probabilistic Number Theory
Week Four:
July 17-July 21
Kannan Soundararajan
Institute for Advanced Study
"Zeta Functions" and/or "Automorphic Functions"

1999 IMA PI Summer Program for Graduate Students:
"Dynamical Systems & Applications"


Pennsylvania State University

June 7 - July 2, 1999

The summer 1999 program, DYNAMICAL SYSTEMS AND APPLICATIONS, was held at Pennsylvania State University. Mark Levi was the organizer. A schedule and list of topics is as follows.

Lecture Program for June 7-July 2, 1999
Week
Lecturer
Topic
June 7-11 Helmut Hofer
Courant Institute
Hamiltonian Dynamics, Variational Principles and Symplectic Invariants
June 14-18 Dima Burago
Pennsylvania State University
Geometric Introduction to Control Theory
June 21-25 Anatole Katok
Pennsylvania State University
Introduction to the Modern Theory of Dynamical Systems
June 28-July 2 Jeff Xia
Northwestern
Celestial Mechanics

The program involves two hours of lectures each morning followed by informal or problem sessions in the afternoons. Every Monday evening there is a social event. The intense month long program allows the students to learn from and interact with the visiting speakers and one another. A certain camaraderie and sense of inclusion is fostered among the students by the chance to work closely with distinguished mathematicians over a lengthy period in a warm social and intellectual atmosphere. Student evaluations of the program are very positive. This is a good example of an excellent program available through the PIs that no one institution could provide.

Topology of Manifolds

University of Iowa

July 6-July 31, 1998

Coordinator: Richard Randell
Week Lecturer Topic
July 6-10 Abigail Thompson Normal surfaces and algorithmic recognition of knots and 3-manifolds
July 13-17 Martin Scharlemann Surfaces in 3-manifolds: From Heegaard splittings to the Thurston norm
July 20-24 Robin Forman Finite-type invariants for knots
July 27-31 Xiao-Song Lin Invariants of knots and 3-manifolds

Selected Topics in Algebraic Topology

University of Chicago

July 28-Aug. 22, 1997
Coordinator: Peter May
Lecturer Topic
Bill Dwyer The algebraic topology of compact Lie groups
Jim McClure Maps between classifying spaces
Mike Hopkins Elliptic curves and stable homotopy theory
Peter May Topics in stable and equivariant homotopy theory

Harmonic Analysis

University of Wisconsin-Madison

June 10-July 5, 1996

Coordinators: Andreas Seeger and Steve Wainger
Lecturer
Topic
Robert Fefferman Multiparameter Harmonic Analysis
Tom Wolff Geometric Questions in Lp Harmonic Analysis
Carlos Kenig Oscillatory Integrals and Nonlinear Dispersive Equations
Eli Stein Discrete Analogues of Classical Operators in Harmonic Analysis

Differential Geometry

University of Illinois-Urbana

July 10-August 4, 1995

Coordinator: Phillippe Tondeur
Lecturer
Topic
Frank Morgan Geometric Measure Theory and Minimal Submanifolds
Seiki Nishikawa Harmonic Maps
Thomas Parker Gauge Theory
Martin Bridson Metric Spaces of Nonpositive Curvature

Complex Analysis

University of Pittsburgh

June 20-July 15, 1994

Coordinators: Juan J. Manfredi, Tom Metzger
Lecturer
Topic
John Garnett Harmonic Measure
Albert Baernstein Quasiconformal Analysis
John Hubbard

Holomorphic Dynamic

Fred Gehring Kleinian Groups

Probability Theory

Ohio State University

August 2-27, 1993

Coordinator: Peter March
Lecturer
Topic
Tom Kurtz Approximation Results for Stochastic Differential Equations
Joel Spencer Random Graphs and Probabilistic Methods
Jennifer Chayes Percolation and Related Models
S.R.S. Varadhan Large Deviations: Theory and Practice

Partial Differential Equations

Indiana University

July 13-August 7, 1992

Coordinator: William Ziemer
Lecturer
Topic
Leon Simon PDE from a Geometric Analysis Perspective
Mike Beals Estimates for Solutions to Nonlinear Wave Equations
Mike Crandall Semigroup Analysis
Constantine Dafermos Hyperbolic Systems of Conservation Laws

Topology

Northwestern University

July 22-August 16, 1991

Coordinator: Mark Mahowald
Lecturer
Topic
Frank Quinn Topological quantum field theory
Cameron Gordon Knot theory
Ted Petrie Transformation groups
Douglas Ravenel Homotopy theory

Algebra

University of Michigan

July 2-27, 1990

Coordinator: Melvin Hochster
Lecturer
Topic
Craig Huneke Commutative rings
Hyman Bass Combinatorial group theory
Charles Curtis Representation theory
Philip Hanlon Algebraic combinatorics

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