
Distinguished and Coxeter Lecture Series
The Fields Institute Coxeter Lecture Series (CLS) and the Distinguished
Lecture Series (DLS) are intended to bring a leading international mathematician
in the field of the thematic program of the Institute to give a series
of three lectures. One talk should be an overview to a general mathematical
audience including postdoctoral fellows and graduate students. The
other two talks can target program participants in their choice of topic(s),
in collaboration with the organizers of the related thematic program.


Distinguished Lectures,
May 45, 2015 & May 20, 2015
Short
Thematic Program on Delay Differential Equations
JOHN MALLETPARET, Brown
University
May 4, 3:30 p.m. Recent Advances in Delay Equations
May 5, 9:00 a.m. C ∞ (but not Analytic) Solutions of
“Analytic” Functional Differential Equations
May 20, 5 p.m. Tensor Products, Positive Operators, and DelayDifferential
Equations
Coxeter
Lectures, April
79, 2015
Thematic Program on
Statistical Inference, Learning, and Models for Big Data
MICHAEL
JORDAN, University of California, Berkeley
April 7, 3:30 pm
April 8, 3:30 pm
April 9, 11:00 am
Coxeter
Lectures, September
29, 30 and October 1, 2014
Thematic Program on
Variational Problems in Physics, Economics and Geometry
SYLVIA SERFATY,
Université Pierre et Marie Curie Paris 6
Distinguished Lectures,
September 810, 2014
Thematic Program on Variational Problems in Physics, Economics and Geometry
SIMON BRENDLE,
Stanford University
September 8 Ricci Flow and the Sphere Theorem
September 9 Minimal tori in $S^3$ and the Lawson Conjecture
September 10 New Estimates for Mean Curvature Flow
Coxeter
Lectures,
May 27,28,29, 2014
Thematic Program on Abstract
Harmonic Analysis, Banach andOperator Algebras
SORIN POPA,
University of California, Los Angeles
On II_1 factors arising from free groups acting on spaces
Coxeter
Lectures,
November 13,14,18, 2013
Thematic Program on CalabiYau Varieties: Arithmetic, Geometry
and Physics
CLAIRE VOISIN,
Institute de Mathématiques de Jussieu
Nov. 13 The canonical 0cycle of a K3 surface
Nov. 14 On the Chow ring of CalabiYau manifolds
Nov. 18 Decomposition of the small diagonal and the topology
of families
Distinguished Lectures, October 1517,
2013
Thematic Program on CalabiYau Varieties: Arithmetic, Geometry
and Physics
MAXIM KONSEVICH,
Institut des Hautes Etudes Scientifiques
Oct. 15 What is tropical mathematics?
Oct. 16 Quivers, cluster varieties and integrable systems
Oct. 17 Fukaya category meets Bridgeland stability
201213
Distinguished Lectures,
May 2830, 2013
Thematic Program on Torsors,
Nonassociative Algebras and Cohomological Invariants
JEANPIERRE SERRE,
Collège de France
May 28  The use of Algebraic Groups in Algebra and
Number Theory
May 29  Unitary groups and trace forms in characteristic
2, Pt 1
May 30 Unitary groups and trace forms in characteristic
2, Pt. 2
Coxeter
Lectures, May 2123,
2013
Thematic Program on
Torsors, Nonassociative Algebras and Cohomological Invariants
RAMAN PARIMALA,
Emory University
May 21  Arithmetic of linear algebraic groups over two dimensional
fields
May 22  Quadratic forms and Galois cohomology
May 23  A Hasse principle over function fields
Coxeter
Lectures, May 7,9,10,
2013
Thematic Program on the Mathematics
of Oceans
VLADIMIR
ZAKHAROV, University of Arizona
Distinguished Lectures, Nov.
79, 2012
Thematic Program on Forcing and its Application
MATTHEW D. FOREMAN,
University of California, Irvine
Distinguished Lectures,
August 2830, 2012
Focus Program on Whitney Problems
ASSAF
NAOR, Courant Institute of Mathematical Sciences, New
York University
The Lipschitz
Extension Problem
201112
Distinguished Lectures,
May 79, 2012
Thematic Program
on Inverse Problems and Imaging
EMMANUEL CANDÉS,
Stanford University
May 7  From compressive sensing to superresolution
May 8  Robust principal component analysis? Some theory
and some applications
May 8  PhaseLift: Exact Phase Retrieval via Convex Programming
Distinguished Lectures,
April 1820, 2012
Thematic
Program on Galois Representations
CHRISTOPHE BREUIL,
Université ParisSud
The $p$adic Langlands
program in the ordinary case and fundamental algebraic representations
Coxeter Lectures, Feb.
29Mar 2, 2012
Thematic
Program on Galois Representations
MICHAEL
HARRIS, Université Paris 7 (Jussieu)
Open Questions about Motives Attached to Automorphic Forms
Coxeter Lectures, November
711, 2011
Thematic Program on Discrete Geometry and Applications
STEPHEN
SMALE, City University of Hong Kong
November 7 From Vision to Vaccines: The Unifying Power of
Mathematics
November 9  Hodge Theory Extended
November 11  The Peptide Binding Problem
Distinguished Lectures,
October 1214, 2011
Thematic Program on Discrete Geometry and
Applications
ERIK DEMAINE,
Massachusetts Institute of Technology
October 12  Algorithms Meet Art, Puzzles, and Magic
October 13  Linkage Folding: From Erdös to Proteins
October 14  Geometric Puzzles: Algorithms and Complexity
Coxeter Lectures,
July 1113, 2011
Summer Thematic Program on the Mathematics of Constraint Satisfaction
MOSHE Y. VARDI,
Rice University (Audio
and Slides of talks)
July 11  And
Logic Begat Computer Science: When Giants Roamed the Earth
July 12  From Philosophical to Industrial Logics
July 13  Logic, Automata, Games, and Algorithms
201011
Coxeter Lectures
April 1315, 2011
Thematic Program on Dynamics and Transport in Disordered Systems
SRINIVASA VARADHAN,
Courant, NY (Audio and
Slides of talks)
Large Deviations and Related Topics
Distinguished Lectures, February
2224, 2011
Thematic Program on Dynamics and Transport in Disordered Systems
YAKOV SINAI,
Princeton (Audio and
Slides of talks)
February 22  Moebius Function and Statistical Mechanics
February 23  Statistics of Gaps in the Sequence {n^1/2}
February 24  Singularities of complexvalued solutions
of the 2dim Burgers system
Distinguished Lectures, January
1921, 2011
SHINGTUNG
YAU, The Chinese University of Hong Kong and Harvard University
(Audio and Slides of talks)
Jan. 19, What is the Shape of Inner Space?
Jan. 20, Further
Exploration on the Shape of Inner Space
Jan. 21, Mass and Momentum
in General Relativity
Distinguished Lectures, November
1, 3, 4, 2010
CEDRIC VILLANI,
Institut Henri Poincaré, Université Claude Bernard
Lyon I (Audio and Slides
of talks)
Nov. 1  What is the fate of the solar system?
Nov. 3  Particle
systems and Landau damping
Nov. 4  From echo analysis to nonlinear Landau
damping
Coxeter Lectures September
17,20,21, 2010
Thematic Program on Asymptotic Geometric Analysis
SHIRI ARTSTEINAVIDAN,
TelAviv University (Audio
and slides of talks)
Sept. 17  Abstract duality, the Legendre transform and a new
duality transform
Sept. 20  Order isomorphisms and the fundamental theorem of
affine geometry
Sept. 21  Multiplicative transforms and characterization of
the Fourier transform
Distinguished Lectures September
1416, 2010
Thematic Program on Asymptotic Geometric Analysis
AVI WIGDERSON,
Institute for Advanced Study
Randomness, Pseudorandomness and Derandomization (Audio
and slides of talks)
Coxeter Lectures August 46,
2010
( Summer 2010) Thematic Program on the Mathematics of Drug Resistance
in Infectious Diseases
NEIL M FERGUSON,
OBE, FMedSc, Imperial College, London
Mathematical modelling of emerging infectious disease epidemics
and their control (Audio
and slides of talks)
200910
Distinguished Lectures April
2123, 2010
Thematic Program on Quantitative Finance: Foundations and Applications
DARRELL DUFFIE,
Dean Witter Distinguished Professor of Finance at The Graduate
School of Business, Stanford University,
Dark Markets (Audio
and slides of talks)
Coxeter Lectures April
68, 2010
Thematic Program on Quantitative Finance: Foundations and Applications
NICOLE EL KAROUI,
Professor of Applied Mathematics, Ecole Polytechnique
Director of the Department of Applied Mathematics, Ecole Polytechnique.
Head of the Financial Modeling Group, at the Center for Applied
Mathematics, Ecole Polytechnique.
Backward Stochastic Differential Equations: Are you really
looking back? Answers in Finance, Stochastic control and PDE's
(Audio and slides of talks)
Coxeter Lectures November
23 25, 2009
Thematic Program on the Foundations of Computational Mathematics
ÉVA TARDOS,
Department of Computer Science, Cornell University
Games and Networks and the Quality of Outcomes (Audio
and slides of talks)
Distinguished Lectures September
1618, 2009
Thematic Program on the Foundations of Computational Mathematics

HENDRIK LENSTRA,
Mathematisch Instituut, Universiteit Leiden
Modelling finite fields (Audio
and slides of talk)
Distinguished Lectures August
17,18,20
Thematic Program on Mathematics in Quantum Information
MATTHEW B. HASTINGS,
Los Alamos National Laboratory
Aug. 17  Communicating over Quantum Channels
Aug. 18, 20  The Computational Complexity of Ground States
of Quantum Systems
(Audio and slides of talk)
200809
Distinguished Lectures May
2527, 2009
Thematic Program on ominimal structures and real analytic geometry
JEANCHRISTOPHE
YOCCOZ, Collège de France
Uniformly hyperbolic SL(2,R) cocycles (Audio
of Talk)
Distinguished Lectures November
1214, 2008
Thematic Program on Arithmetic Geometry, Hyperbolic Geometry and
Related Topics
YUMTONG SIU,
Harvard (Audio of talk)
Coxeter Lectures September
29October 3, 2008
Thematic Program on Arithmetic Geometry, Hyperbolic Geometry and
Related Topics
SHOUWU ZHANG,
Columbia University (Audio of
Talk)
Periods, Heights, Lvalues
Coxeter Lectures August
68, 2008
Thematic Program on Mathematical and Quantitative Oncology
MARTIN NOWAK,
Harvard University (Audio of Talk)
August 6  Somatic Evolution of Cancer
August 7  Evolution of Cooperation
August 8  Prevolutionary Dynamics (the origin of life)
200708
Distinguished Lectures Thematic
Program on Operator Algebras
May 2830, 2008
ALAIN
CONNES, Collège de France
May 28 The spectral characterization of manifolds
May 29  A CKM invariant in Riemannian geometry
May 30  About the field with one element
Distinguished Lectures
Thematic Program on New Trends in Harmonic Analysis
April 9,10,11 2008
TIM GOWERS,
University of Cambridge
Quadratic Fourier Analysis (Audio
and Slides)
Coxeter Lectures Thematic
Program on New Trends in Harmonic Analysis
February 2527, 2008
JILL PIPHER,
Brown University Audio and Slides
Multiparameter Fourier Analysis
Distinguished Lectures Thematic
Program on Operator Algebras
November 57, 2007
UFFE
HAAGERUP, Odense (Audio
and Slides)
Free probability and the invariant subspace problem for von
Neumann algebras
200607
Distinguished Lectures Thematic
Program on Geometric Applications of Homotopy Theory
May 14, 15, 17, 2007
MICHAEL HOPKINS,
Harvard University
May 14  Classical and quantum invariants of manifolds
May 15  Homotopy invariance of string topology
May 17  The topological WZW space of conformal blocks
(Audio and slides)
Coxeter Lectures Thematic
Program in Cryptography
November 2223, 2006 at 3:30 p.m.
SHAFI GOLDWASSER,
Massachusetts Institute of Technology
Limits of Obfuscation (Audio
and slides)
Coxeter Lectures Thematic
Program in Cryptography
September 2527, 2006
GERHARD FREY,
Institut für Experimentelle Mathematik, Universität
DuisburgEssen
Duality Theorems in Arithmetic Geometry and Applications
(Audio and slides)
200506
Coxeter Lectures
Thematic Program on Holomorphic Dynamics, Laminations, and
Hyperbolic Geometry 
March 2729, 2006
YAIR MINSKY,
Yale
Curve complexes, surfaces and 3manifolds (Audio
and slides)
Distinguished Lectures
Thematic Program on Holomorphic Dynamics, Laminations, and Hyperbolic
Geometry
January 911, 2006
GREGORY MARGULIS,
Yale
January 9 Irrational quadratic forms I.
January 10  Indefinite qiadratic forms II
January 11  On one interesting class of functions on the
space of lattices
(Audio and slides)
Coxeter Lectures
Thematic Program on Renormalization and Universality in Mathematics
and Mathematical Physics
November 2325, 2005
LAISANG
YOUNG, Courant Institute of Mathematical Sciences
A mathematical theory of strange attractors (Audio
and talk)
Coxeter Lectures
Thematic Program on Renormalization and Universality in Mathematics
and Mathematical Physics
September 1315, 2005
ODED SCHRAMM,
Microsoft
Scaling limits of two dimensional random systems (Audio
and talks)
200405
Coxeter Lectures Thematic
Program in the Geometry of String Theory
M AY 911, 2005
RENATA
KALLOSH, Physics, Stanford
Talk 1: Towards String Cosmology
Talk 2: Stabilization of moduli in string theory I
Talk 3: Stabilization of moduli in string theory II (Audio
and talks)
Coxeter Lectures Thematic
Program in the Geometry of String Theory
April 47, 2005
EDWARD WITTEN,
IAS, Princeton
(Audio and talks)
Lecture 1: Relativistic Scattering Theory
Lecture 2: Gauge Symmetry Breaking
Lecture 3: The Quantum Hall Effect
Coxeter Lectures Thematic
Program in the Geometry of String Theory
January 1720, 2005
ROBBERT
DIJKGRAAF,
Institute for Theoretical Physics, Amsterdam
(Audio and Slides)
Lecture 1:The Mathematics of String Theory
Lecture 2: Topological String Theory I
Lecture3: Topological String Theory II
Coxeter Lectures Thematic
Program in the Geometry of String Theory(Audio
of talk)
November 1517, 2004
NIGEL
HITCHIN, Mathematical Institute, Oxford
Lecture 1:Open orbits and geometrical structures
Lecture 2: Instantons and bihermitian metrics
Lecture 3: Geometry with Bfields
200304
Distinguished Lectures Thematic
Pogram in Partial Differential Equations
May 1013, 2004
JEAN BOURGAIN,
I.A.S., Princeton and Univ. of Illinois, UrbanaChampaign (Audio
and slides)
Qualitative aspects of Hamiltonian PDE's and lattice models
Coxeter Lectures Thematic
Program in Partial Differential Equations
May 35, 2004
SERGEI KUKSIN,
HeriotWatt (Audio and
slides)
Mathematics of 2D Statistical Hydrodynamics
Coxeter Lectures Thematic
Program in Partial Differential Equations
October 2022, 2003
L. CRAIG EVANS,
University of California, Berkeley (Audio
and slides)
Lecture 1: Introduction, optimal mass transfer
Lecture 2: Weak KAM theory for dynamics
Lecture 3: Calculus of variations in the maxnorm
200203
Distinguished Lectures Thematic
Program in Automorphic Forms
April 911, 2003
PETER SARNAK,
Princeton University (Audio
of talk)
Automorphic Lfunctions and equidistribution
Coxeter Lectures Thematic
Program in Automorphic Forms
March 10  12, 2003
STEPHEN
S. KUDLA, University of Maryland (Audio
of Talk)
Arithmetic theta series
Coxeter Lectures Thematic
Program in Set Theory and Analysis
November 46, 2002
HUGH WOODIN,
University of California, Berkeley (Audio
of Talk)
1) The Continuum Hypothesis and the $\Omega$ Conjecture
2) Strong Axioms: Determinacy and Large Cardinals
3) Extender Sequences and Beyond
200102
Coxeter Lectures Numerical
and Computational Challenges in Science and Engineering
March 1114, 2002
RANDALL LEVEQUE,
Applied Mathematics Department, University of Washington
Solving Wave Propagation Problems in Heterogeneous Media
Coxeter Lectures Numerical
and Computational Challenges in Science and Engineering
October 29, 30, November 1, 2001
GENE GOLUB,
Stanford University
Matrices, Moments and Quadrature
200001
Distinguished Lectures Summer
School in Quantum Information Processing
May 1718, 2001
PETER
SHOR, (AT&T)
'Quantum Computing and Capacities of Quantum Channels'
Coxeter Lectures Symplectic
Topology, Geometry, and Gauge Theory Program
March 1214, 2001
ALEXANDER B. GIVENTAL,
University of California at Berkeley
'Gromov  Witten invariants in higher genus'
Coxeter Lectures Infinite
Dimensional Lie Theory and Its Applications Program
Dec. 57, 2000
GRAEME SEGAL,
Mathematical Institute, University of Oxford
'The Idea of Space in String Theory '
19992000
Coxeter Lectures Graph Theory
and Combinatorial Optimization Program
January 1719, 2000
PAUL SEYMOUR,
Princeton University
 An Introduction to Graph Minors
Graph Minors: Sketches of Some Proofs
Graph Minors: Current Research
Coxeter Lectures Graph Theory
and Combinatorial Optimization Program
November 13, 1999
LÁSZLÓ
LOVÁSZ, Microsoft Research
'Geometric Representations of Graphs'
199899
Coxeter Lectures Probability
and Its Applications Program
May 1112, 1999
RICHARD DURRETT, Cornell University
'DNA repeat sequences'
'Stochastic spatial models; easy as 1, 2, 3'
'Scaling limits of particle systems'
Distinguished Lectures Program
in Probability and its Applications
October 12, 1998
PIERREGILLES
DE GENNES, Ecole Supérieure de Physique et de Chimie
Industrielles de la Ville de Paris
Branched polymers and the Ariadne length
Sand dunes: how they form, how they move
From rice to snow: some problems of granular matter
199897
Distinguished Lectures
April 1415, 1998
AVI WIGDERSON,
Institute for Advanced Study
'A Computational View of Randomness'
'Tight Hardness vs. Randomness Tradeoffs'
Coxeter Lectures Complexity
Theory Program
Feb 2327, 1998
ALEXANDER A. RAZBOROV, Steklov
Mathematical Institute
'Complexity of proofs and computations'
'Natural proofs and feasible proofs of circuit lower bounds'
'Readonce branching programs and regular resolution'
Coxeter Lectures Microlocal
Methods in Geometric Analysis and Mathematical Physics Program
November 37, 1997
VLADIMIR BUSLAEV,
St.Petersburg University
' Scattering of nonlinear waves'
' Connection between the singular spectrum of linear operators
and the theory of dynamical systems'
' Spectral theory of the difference equations with periodic coefficients'
Distinguished Lectures
October 2731, 1997
RICHARD B. MELROSE,
Massachusetts Institute of Technology
'Scattering Theory, Travelling Waves and Geodesic '
T'he Scattering Matrix, Trace Formulae and Asymptotics'
'Invertibility, Index Formulae and Global Invariants'
199796
Distinguished Lectures
June 1620, 1997
VLADIMIR ARNOL'D, Steklov
Mathematical Institute and Université de ParisDauphine
'From the Hilbert Superposition Problem to Dynamical Systems'
'Polymathematics: Symplectization, Complexification, and So On'
'Topologically Necessary Wavefront Singularities, the SturmHurwitz
Theorem on Fourier Series and Higher Derivative' 'Extensions of
Morse (ConleyZehnderChekanovChaperonFloer) Theory'
Conference in
Honour of Vladimir Arnol'd
Distinguished Lectures
May 57, 1997
MIKHAEL GROMOV, Institut des Hautes Études
Scientifiques, University of Maryland and Courant Institute
'Geometry and Complexity'
Coxeter Lectures Singularity
Theory and Geometry Program  Coxeter Lecture Series
March 10, 12, 13, 1997
ALEX J. WILKIE,
Mathematics Institute, Oxford University
'OMinimal Tarski Systems: Theory and Examples'
199695
Distinguished Lectures
May 1013, 1996
SERGEI V. NOVIKOV, Steklov Mathematical Institute
'Laplace and Darboux Transformations: Exactly Solvable One
and TwoDimensional Schrödinger Operators '
'Some Topological Phenomena in the Theory of Metals'
Distinguished Lecture Series
April 21, 1996
ROBERT MACPHERSON, Institute for Advanced Study, Princeton
University
Topology of Spaces with Torus Actions
Distinguished Lectures
October 23, 1995
ANDREW WILES, Princeton University
'Modular Forms and Elliptic Curves'
(Also, Public Lecture on Fermat's Last Theorem)
Distinguished Lectures
October 1995
RAOUL BOTT, Harvard University
'The Group of Gauge Transformations  Our Gift from the Physicists'
(Held in Cape Breton, Nova Scotia)
Distinguished Lectures
August 25, 1995
ROGER PENROSE, University of Oxford
Thoughts On Geometry, Computability And Tiling Problems
199495
Distinguished Lectures
June 2123, 1995
CHARLES FEFFERMAN, Princeton University
'Electrons and Protons in Magnetic Fields'
Distinguished Lectures
June 9  11, 1995
ALAIN CONNES, Collège de France
'Hecke Algebras, Type III Factors and Phase Transitions with
Spontaneous Symmetry Breaking'
Distinguished Lectures
March 37, 1995
DAN VOICULESCU, University of California, Berkeley
'Free Probability Theory'
'Random Matrices and Operator Algebras'
'Free Entropy'
Distinguished Lectures
May 16, 1994
DAVID MUMFORD, Harvard University
Mathematical Models for Thought  Markov Random Fields and
Pointer Variables  and Links with Neurobiology
Distinguished Lectures
May 16, 1994
NANCY KOPELL, University of Boston
'Oscillating Networks of Neurons: What Makes Them Tick?'
199394
Distinguished Lectures
March 2529, 1994
GERD FALTINGS, Princeton University
'Diophantine Approximation'
'The Product Theorem '
'Abelian Varieties'
'Projective Spaces'
199293
Distinguished Lectures
May 29, 1993
SIR MICHAEL ATIYAH, Director, Isaac Newton Institute, Cambridge
Geometry and Quantum Mechanics
Distinguished Lectures
October 2024, 1992
MICHAEL BERRY, University of Bristol
Quantum to Classical Asymptotics, Chaology, and the Riemann
Zeros
Distinguished Lectures
September 23  25, 1992
VAUGHAN JONES, University of California, Berkeley
Lectures on Subfactors, Knots and Spin Models
199192
Distinguished Lectures
June 11, 1992
STEPHEN SMALE, University of California, Berkeley
Bezout's Theorem and Complexity Theory
Distinguished Lectures
June 10  11, 1992
PHILLIP GRIFFITHS, Director, Institute for Advanced Study,
Princeton
'Characteristic Cohomology of Differential Systems'
'Conservation Laws for Differential Systems'
'Exterior Differential System'

