Penn Math
University of Pennsylvania
Previous Years' Mathematics Colloquia:   1992 -

2006 - 2007

Peter Roquette
Math. Inst. Univ. Heidelberg
Oct 4, 2006 Artin's reciprocity law and Hasse's norm symbol in historical perspective
William Meeks
UMass
Oct 18, 2006 The classical theory of minimal surfaces
Shing-Tung Yau
Harvard University
Nov 2, 2006 Spacetime with torsion
Cameron Gordon
U of Texas
Nov 15, 2006 The unknotting number of a knot
Brian Conrad
U. of Michigan and Columbia U.
Nov 29, 2006 Asymptotics for prime specialization over finite fields
Andrei Okounkov
Princeton University
Dec 8, 2006 Gromov-Witten/Donaldson-Thomas correspondence for toric varieties
Kyoji Saito
RIMS Kyoto
Jan 17, 2007 The root system and the triangulated category associated to a regular system of weights
Dmitri Orlov
Steklov Math Institute, Moscow and IAS, Princeton
Jan 31, 2007 Homological mirror symmetry
Tom Hou
Caltech
Feb 14, 2007 Geometric Properties and Non-blowup of the 3D Incompressible Euler Equations
Diane Maclagan
Rutgers
Feb 28, 2007 The moduli space of stable genus zero curves with n marked points
Marcus Khuri
SUNY Stony Brook
Mar 21, 2007 The Penrose Inequality of General Relativity
Nigel Hitchin
Oxford
Mar 28, 2007 Spherical harmonics, elliptic curves and the icosahedron
G. Sacks
Harvard
Apr 11, 2007 Reflections on Goedel
Toby Colding
NYU and MIT
Apr 18, 2007 Mini-max constructions of critical points revisited

2005 - 2006

Alex Lubotzsky
Hebrew U., IAS
Sep 14, 2005 Finite groups and hyperbolic manifolds
Don Zagier
Max Plank Institute, Bonn
Sep 15, 2005 Theta functions and mock theta functions
Alberto Bressan
Penn State University
Sep 28, 2005 Solutions to hyperbolic conservation laws and their approximations
Laurent Stolovitch
Universite de Toulouse
Oct 12, 2005 Holomorphic dynamics in the neighbourhood of a fixed point
J. M. Landsberg
Texas A &. M.
Nov 2, 2005 Computational complexity and geometry
Sergey Fomin
University of Michigan
Nov 9, 2005 Cluster algebras
David Gabai
Princeton University
Nov 16, 2005 Shrinkwrapping and the taming of hyperbolic 3-manifolds.
Phillip Griffiths
IAS
Feb 1, 2006 Can one detect algebraic cycles topologically?
Michael Douglas
Rutgers University
Feb 15, 2006 The Geometry of String Theory Compactification
Steven Zelditch
Johns Hopkins Univeristy
Feb 22, 2006 Complex geometry and vacua: Counting universes in string theory.
Boris Tsygan
Northwestern University
Mar 22, 2006 Cyclic homology, 25 years after.
Indira Chatterji
Ohio State Univeristy
Apr 5, 2006 Group ring conjectures
Prof. Dr. B. Heinrich Matzat
Universität Heidelberg
Apr 19, 2006 Differential equations and finite groups

2004 - 2005

Alexandru Buium
University of New Mexico
Sep 29, 2004 Derivatives of integer numbers and L-functions
Frans Oort
University of Utrecht
Oct 6, 2004 Conjectures in Mathematics
James Carlson
Clay Mathematics Institute
Nov 17, 2004 Hyperbolic geometry and cubic surfaces
Sergiu Kleinerman
Princeton University
Dec 1, 2004 Radius of injectivity and Curvature estimates in General Relativity
Werner Mueller
University of Bonn
Jan 26, 2005 Harmonic analysis on locally symmetric spaces and number theory
Jonathan Weitsman
University of California Santa Cruz
Feb 9, 2005 Measures on Banach Manifolds and Supersymmetric Quantum Field Theory
Peter Sarnak
Princeton University
Feb 23, 2005 Variance of quantum observables for chaotic hamiltonians
Michelle Wachs
University of Miami
Mar 2, 2005 Aspects of poset topology
Sun-Yung Alice Chang
Princeton University
Mar 23, 2005 Conformal invariants, Q-curvature, and Ricci tensor
Paul A. Yushkevich
University of Pennsylvania
Mar 30, 2005 Generative Medial Models for Statistical Analysis of Shape and Appearance in Biomedical Images
Florin Diacu
University of Victoria
Apr 20, 2005 The Lost Millennium

2003 - 2004

Tandy Warnow
University of Texas
Sep 17, 2003 "Fast Converging" Phylogeny Reconstruction Methods
Bernd Sturmfels
University of California at Berkeley
Oct 1, 2003 Tropical Algebraic Geometry
David Eisenbud
MSRI
Oct 8, 2003 Resultants, Old and New
Andras Vasy
MIT
Oct 22, 2003 Scattering theory on symmetric spaces and for N-body Hamiltonians
Werner Ballman
University of Bonn
Oct 29, 2003 On the L^2-index of Dirac operators
Ezra Getzler
Northwestern and IAS
Nov 5, 2003 Homology of the Deligne-Mumford compactification of M1,n
Steve Ferry
Rutgers University
Nov 19, 2003 Infinite-dimensional phenomena in finite-dimensional topology
Tom Mrowka
MIT
Jan 21, 2004 Floer's homology groups, Witten's conjecture and three manifold topology
Gregory Cherlin
Rutgers University
Jan 28, 2004 Model theory and algebraic groups
Cumrun Vafa
Harvard
Feb 3, 2004 Quantum Calabi-Yau Manifolds as Classical Melting Crystals
Leslie Greengard
Courant Insitute
Feb 11, 2004 Potential Theory, Fast Algorithms and Computational Engineering
Serge Lang
Yale University
Mar 17, 2004 Theta inversion and the heat kernel
Mikhail Kapranov
Yale University
Mar 24, 2004 Floer homology in algebraic geometry
Gang Tian
MIT/Princeton
Apr 7, 2004 Recent progress in Kaehler geometry
Robert Bryant
Duke
Apr 14, 2004 Aufwiedersehen Surfaces Revisited

2002 - 2003

Robin Pemantle
Ohio State University
Sep 11, 2002 Generating Functions, Hyperplane Arrangements and Stratified Morse Theory
Charles Peskin
Courant Institute, NYU
Oct 2, 2002 Muscle and Blood: Mathematical Modeling and Computer Simulation of the Beating Human Heart
Yair Minsky
SUNY Stony Brook
Oct 16, 2002 Thurston's ending lamination conjecture and the classification of three manifolds
Curt McMullen
Harvard University
Oct 23, 2002 Billiards
Ken Ono
University of Wisconsin
Nov 13, 2002 Groups associated to quadratic number fields and Elliptic curves
Carl Pomerance
Lucent Technologies
Dec 4, 2002 What's new in primality testing
Saeed Zakeri
SUNY Stony Brook
Jan 22, 2003 Trans-quasiconformal Maps and Dynamics
Tadashi Tokieda
Universite Quebec a Montreal
Jan 29, 2003 Nonholonomic Mechanics and Infuriating Rolling Objects
Karen Vogtmann
Cornell University
Feb 5, 2003 Graph Homology and Outer Space
Alex Eskin
University of Chicago
Feb 19, 2003 Billiards in Rational Polygons
Shmuel Nussinov
Tel Aviv University
Feb 26, 2003 A Physicist's Approach to Complex Problems
Yakov Pesin
Penn State University
Mar 5, 2003 Is chaotic behavior typical among dynamical systems?
Joan Birman
Columbia University
Mar 19, 2003 Recognizing the Unknot
Sorin Popa
UCLA
Apr 9, 2003 The amenability-rigidity antinomy in the study of type II$_1$ factors
Grigory Perelman
Steklov Mathematical Institute, St.Petersburg
Apr 17, 2003 The entropy formula for the Ricci flow and its geometric applications
Mitchell Berger
University College
Apr 23, 2003 Astrophysical Applications of Topology

2001 - 2002

Florian Pop
University of Bonn (Germany) and University of Pennsylvania
Sep 12, 2001 Elementary equivalence versus isomorphism
C. Herbert Clemens
University of Utah and IAS
Oct 3, 2001 Curves of low genus on hypersurfaces
Michael P. Brenner
Harvard University
Oct 24, 2001 Chasing singularities
Alexey Sossinsky
Independent University of Moscow and Penn State University
Oct 31, 2001 Could the Poincare' conjecture be false?
Cynthia Dwork
Microsoft Silicon Valley Research Center
Nov 7, 2001 Rank aggregation revisited
Frank Morgan
Williams College
Nov 28, 2001 Soap bubble geometry
Tristan Riviere
ETH Zurich, Switzerland
Jan 16, 2002 Bubblings, quantizations and regularity issues for Yang-Mills fields and harmonic maps
Sijue Wu
University of Maryland
Jan 23, 2002 Mathematical analysis of vortex sheets
Neil J. A. Sloane
AT&T Research
Jan 30, 2002 Thirty-five years of collecting sequences: What comes next after 1, 3, 6, 2, 7, 13, 20, 12,...?
John J. Millson
University of Maryland
Feb 20, 2002 Existence of polygonal linkages in symmetric spaces and Euclidean buildings; applications to linear algebra
Yum-Tong Siu
Harvard University
Feb 27, 2002 Some recent transcendental methods in complex algebraic geometry
Adrian Ocneanu
Pennsyvania State University
Mar 6, 2002 Quantum symmetry from subgroups to Lie groups
Didier Arnal
Universite' de Burgogne, France
Apr 10, 2002 Formalities and tangential star products
Sylvain Cappell
Courant Institute of Mathematical Sciences
Apr 17, 2002 New geometrical invariants of spaces

2000 - 2001

C. David Levermore
University of Maryland
Oct 4, 2000 Stokes and Acoustic Limits for the Boltzmann Equation
John P. D'Angelo
University of Illinois at Urbana-Champaign
Oct 18, 2000 Complex variables analogues of Hilbert's 17th problem
John Etnyre
Stanford University
Oct 25, 2000 Contact Geometry, Topology and Dynamics
Claude LeBrun
SUNY Stony Brook
Nov 1, 2000 Scalar Curvature and Differential Topology
Stephan Stolz
The University of Notre Dame
Nov 15, 2000 Manifolds of positive scalar curvature
Michelle Wachs
University of Miami
Nov 29, 2000 Homology of Bounded Degree Graph Complexes
Benjamin Enriquez
Ecole Normale Superieure, Paris
Jan 17, 2001 Quantization functors of Lie bialgebras
Andrew Odlyzko
AT&T Labs - Research
Jan 24, 2001 Economics and cryptography on the Internet
Ranee Brylinski
Pennsylvania State University
Jan 31, 2001 Symmetry and Quantization
Burkhard Wilking
University of Pennsylvania
Feb 7, 2001 Manifolds with Positive Sectional Curvature Almost Everywhere
Benson Farb
University of Chicago
Feb 28, 2001 Group actions and Helly's Theorem
David Vogan
M.I.T.
Mar 28, 2001 The size of infinite-dimensional representations
Stuart S. Antman
University of Maryland
Apr 11, 2001 Analytic consequences of incompressibility
David Kazhdan
Harvard University
Apr 18, 2001 Geometric and unipotent crystals

1999 - 2000

Yongbin Ruan
University of Wisconsin
Sep 22, 1999 Gromov-Witten Invariants and Quantum Cohomology
Karen Uhlenbeck
University of Texas
Sep 29, 1999 Schroedinger Maps
Sara Billey
MIT
Oct 13, 1999 Permutations, Pattern Avoidance and Applications in Algebraic Geometry
Jerry Gollub
Haverford
Oct 20, 1999 Transient Chaotic Fluid Dynamics
Y. Eliashberg
Stanford University
Nov 10, 1999 Symplectic Field Theory
Xin Zhou
Duke University
Dec 8, 1999 Riemann-Hilbert Problems and Integrable Systems, an Overview
Percy Deift
University of Pennsylvania
Jan 19, 2000 Asymtotics for Random Permutations
Pavel Etingof
MIT
Feb 22, 2000 Differential Galois Groups and Quantum Integrable Systems
Liming Ge
University of New Hampshire
Mar 1, 2000 Introduction to Free Probability and Free Entropy with Applications
Igor Krichever
Columbia University
Mar 22, 2000 Title to be announced
Martin Taylor
U.M.I.S.T.
Mar 29, 2000 L-functions and Euler Characteristics
Daniel Sternheimer
Universite de Bourgogne
Apr 26, 2000 Deformation Quantization: Latest Developments

1998 - 1999

Werner Ballmann
Bonn University
Sep 9, 1998 Curvature: from Riemann to Alexandrov
Paul Garabedian
Courant Institute
Oct 5, 1998 Magnetohydrodynamic Equilibrium and Stability of Fusion Plasmas.
Uwe Abresch
Ruhr-Universitat Bochum
Oct 21, 1998 Manifolds with positive curvature
Michiel Hazewinkel
Centrum voor Wiskunde en Informatica (Amsterdam)
Nov 4, 1998 The Leibniz Hopf algebra, its dual, and generalizations
Jonathan Weitsman
U.C. Santa Cruz
Nov 18, 1998 Equivariant Morse Theory, Old and New
Alexander A. Kirillov
I.A.S.
Dec 2, 1998 On the Lego-Teichmuller Game
Yvette Kosmann-Schwarzbach
Ecole Polytechnique (France)
Jan 27, 1999 The classical dynamical Yang-Baxter equation: from Lie bialgebras to Lie bialgebroids
Carla Savage
North Carolina State
Feb 10, 1999 Combinatorial Gray Codes
C. Herbert Clemens
University of Utah
Mar 17, 1999 Continuous families of curves on Calabi-Yau threefolds
Louis Nirenberg
Courant Inst., N.Y.U.
Mar 24, 1999 Degree theory and BMO
Ingrid Daubechies
Princeton University
Apr 7, 1999 Quantizing redundant representations

1997 - 1998

Dennis Sullivan
SUNY at Stoneybrook
Sep 15, 1997 The measurable Riemann mapping theorem in higher dimensions.
Richard Palais
Brandeis University
Oct 13, 1997 3D-Filmstrip: An interactive gallery of mathematical objects and processes.
Jonathan Weitsman
M.I.T.
Oct 27, 1997 Quantum Field Theory and the moduli space of flat connections.
Robert Guralnick
University of Southern California
Nov 3, 1997 Probabilistic methods for generating finite simple groups.
Janos Kollar
University of Utah
Nov 10, 1997 Large real algebraic varieties.
Fedor Bogomolov
Courant Institute
Dec 1, 1997 Title to be announced.
Maciej Zworski
University of Toronto
Feb 2, 1998 Resonances in Physics and Geometry.
Helmut Hofer
Courant Institute
Mar 2, 1998 Holomorphic curves and dynamics in (real) dimension three.
John Millson
University of Maryland
Apr 6, 1998 Universality theorems for configuration spaces of planar linkages.
John Erik Fornaess
University of Michigan
Apr 20, 1998 Complex dynamics in several variables.

1996 - 1997

Michael Hopkins
M.I.T.
Sep 30, 1996 New manifold invariants associated to algebraic plane curves.
Michael Herman
Paris & Columbia Universities
Oct 21, 1996 Hamiltonian dynamics and the ergodic hypothesis.
Daniel Stroock
M.I.T.
Nov 18, 1996 Some thoughts about Riemannian structures on pathspaces.
John Lott
University of Michigan
Dec 2, 1996 Analytic torsion and diffeomorphism groups.
Joel Spencer
Courant Institute & I.A.S.
Jan 27, 1997 An asymptotic isoperimetric inequality.
Johan De Jong
Princeton University
Mar 3, 1997 Title to be announced.
Laszlo Lempert
Purdue University
Mar 24, 1997 Complex analysis on infinite dimensional manifolds.
L. Faddeev
I.A.S. & University of St. Petersberg
Mar 31, 1997 Algebraic aspects of quantum integrable models.
Sylvain Cappell
Courant Institute
Apr 14, 1997 Invariants of singular spaces and lattice summation.

1995 - 1996

John Conway
Princeton University
Sep 25, 1995 Isomorphism of surface groups.
Joan Birman
Columbia University
Oct 16, 1995 Groups of knots.
John Morgan
Columbia University
Oct 30, 1995 4-manifolds and Seiberg-Witten invariants.
Jean Bourgain
Institute for Advanced Studies
Nov 13, 1995 Dynamical system methods in the study of Hamiltonian PDE.
Alice Silverberg
Ohio State University & I.A.S.
Dec 4, 1995 Semistable reduction of elliptic curves and abelian varieties.
Neil Sloane
AT&T Bell Laboratories
Jan 22, 1996 Arranging planes so they are as far apart as possible: packing in Grassmannian manifolds.
Cliff Taubes
Harvard University
Feb 5, 1996 The Seiberg-Witten equations and symplectic geometry.
Karl Rubin
Ohio State & I.A.S.
Feb 19, 1996 Euler systems, L-functions, and arithmetic.
Spencer Bloch
University of Chicago
Mar 4, 1996 Differential operators and values of zeta functions.
Avi Widgerson
Hebrew University & I.A.S.
Apr 8, 1996 Complexity theory - a survey.

1994 - 1995

Sylvain Cappell
Courant Inst. & I.A.S.
Oct 10, 1994 Euler MacLaurin expansions.
Richard Hain
I.A.S. & Duke University
Nov 14, 1994 Hodge theory and mapping class groups.
Sigurdur Helgason
M.I.T.
Dec 5, 1994 Wave equations on homogeneous spaces.
Shing-Tung Yau
Harvard University
Jan 30, 1995 Arithmetic of the Mirror Map.
Serguei Novikov
University of Maryland
Feb 20, 1995 Representations of the Heisenberg algebra by ordinary differential operators (string equations).
Joel Spruck
Johns Hopkins University
Feb 27, 1995 Geometric boundary value problems at infinity in hyperbolic space.
Dusa McDuff
SUNY Stony Brook
Mar 13, 1995 The Geometry of Physics
Michael Thaddeus
Harvard University
Apr 10, 1995 Vector bundles on curves: recent developments.
Kenneth Ribet
University of California, Berkeley
Apr 24, 1995 Variants of Fermat's equation.

1993 - 1994

Edward Frenkel
Harvard University
Sep 29, 1993 Dilogarithm identities and the Virasoro algebra.
Robert Bryant
IAS and Duke University
Nov 3, 1993  
Anil Nerode
Cornell University
Nov 10, 1993 Hybrid systems.
A. Kirillov and B. Khesin
Moscow
Dec 8, 1993 Integrable systems via infinite dimensional Lie algebras.
Iele Moerdijk
Utrecht University
Jan 19, 1994 The leaf space of a foliation.
P.A. Griffiths
I.A.S.
Jan 26, 1994 Toward a geometry of differential equations.
Fan Chung
Bellcore
Feb 2, 1994 Eigenvalues of discrete systems.
Marcel Berger
Universite de Paris and IHES
Feb 9, 1994 Systoles and applications, according to Gromov.
Jean-Luc Brylinski
Penn State University and Harvard University
Feb 23, 1994 The geometry of the Dirac magnetic monopole.
Wu-Yi Hsiang
University of California at Berkeley
Mar 30, 1994 The sphere packing problem and the proof of the Kepler conjecture.
Ezra Getzler
MIT
Apr 6, 1994  

1992 - 1993

Nigel Higson
Penn State University
Sep 16 1992 Operator K-theory and Group Representations.
Haynes Miller
MIT
Oct 14, 1992 Higher real K-theory.
Karsten Grove
University of Maryland
Oct 28, 1992 The role of Singular Spaces in Riemannian Geometry.
Victor Nistor
Harvard University
Nov 11, 1992 Non-commutative Differential Geometry and Index Theory.
S.D. Schack
SUNY Buffalo
Dec 2, 1992 Bialgebra Cohomology and Deformations.
Rick Schoen
Institute for Advanced Study
Jan 27, 1993 Fixed point theorems for discrete group actions via harmonic map theory.
Earl Berkson
University of Illinois
Feb 10, 1993 Spectral integration of Marcinkiewicz multipliers
Michael Larsen
University of Pennsylvania
Feb 17, 1993 Reflection Groups.
Jim Stasheff
University of North Carolina
Feb 24, 1993 New Applications of Operads.
Roger Smith
Texas A\&M University
Apr 14, 1993 Cohomology of operator algebras.

Spring 1992

Phillip Griffiths
IAS
Feb 12, 1992 Characteristic classes of exterior differential systems.
Nikolai Reshetikhin
University of California, Berkeley
Feb 19, 1992 Isodromy deformations of ordinary differential equations and the Knizhnik-Zamolodchikov equation.
Marcel Berger
IHES
Feb 26, 1992 Packing circles.
Anatoly Vershik
University of California, Berkeley
Mar 6, 1992 Factor representations and asymptotics of infinite classical groups.
Marjorie Senechal
Smith College
Mar 18, 1992 Empires and Penrose tilings.
Alexandre Kirillov
University of Pennsylvania
Apr 8, 1992 What is representation theory now?
Victor Guillemin
MIT
Apr 22, 1992 Homogeneous Monge-Ampere equations.