Topological Methods in Complex Systems University of Pennsylvania, Philadelphia July 25 – August 12, 2011

Computational Wave Propagation Michigan State University June 7-25, 2010

The Mathematics of Inverse Problems University of Delaware June 15-July 3, 2009

Linear Algebra and Applications Iowa State University June 30 - July 25, 2008

Applicable Algebraic Geometry Texas A&M University, College Station, Texas July 23 - August 10, 2007

Topology and its Applications Mississippi State University, Starkville July 10 - 28, 2006

Stochastic Partial Differential Equations and Environmental and Geophysical Modeling University of Wyoming, Laramie June 13 - July 1, 2005

Coding and Cryptography University of Notre Dame June 8 - 26, 2004

Combinatorics and its Applications Georgia Institute of Technology July 14 - August 1, 2003

Scientific Computing University of Kentucky July 1 - 26, 2002

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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