Alexander S. Kechris | Fall 2018 | A descriptive set theoretic approach to problems in harmonic analysis, dynamical systems and combinatorics:Lecture I. Set theory and trigonometric series Lecture II. The complexity of classification problems in ergodic theory Lecture III. Dynamics of non-archimedean groups, logic, and Ramsey theory Lecture IV. Descriptive graph combinatorics |

Paul Baum | Spring 2018 | K-THEORY AND THE DIRAC OPERATOR:What is K-theory and what is it good for? The Dirac operator The Riemann-Roch Theorem Beyond Ellipticity |

Jacob Lurie | Spring 2018 | The Siegel Mass Formula and Weil's Conjecture Nonabelian Poincare Duality The Cohomology of Bun_G(X) Weil's Conjecture for Function Fields |

Bjorn Poonen | Fall 2017 | Undecidability in number theory Undecidability in group theory, analysis, and topology Undecidability everywhere Elliptic curves and the number 21 |

Lisa Jeffrey | Spring 2017 | Flat connections on 2-manifolds The based loop group The real locus of a symplectic manifold |

Claude LeBrun | Fall 2016 | Four-Manifolds, Einstein Metrics, and Differential Topology |

Hélène Esnault | Spring 2016 | Some Lefschetz theorems in algebraic arithmetic geometry |

Andre Neves | Fall 2014 | Min-Max Methods in Geometry |

Nigel Hitchin | Fall 2014 | The Higgs bundle moduli space |

Edward Witten | Spring 2014 | A New Look at the Jones Polynomial of a Knot [ArXiv Lecture Notes} |

Ben J. Green | Fall 2013 | Approximate algebraic structure and applications |

Cedric Villiani | Spring 2013 | Riemann, Boltzmann and Kantorovich go to a party |

Avi Wigderson | Fall 2012 | Computational Complexity and Mathematics |

Sylvain E. Cappell | Spring 2012 | Introduction to a Geometer's Toolbox |

Claire Voisin | Fall 2011 | Chow rings, decomposition of the diagonal and the topology of families |

Gunnar Carlsson | Spring 2011 | Topology and Data |

Carl Pomerance | Fall 2010 | Counting problems in elementary number theory |

John H. Coates | Spring 2010 | Iwasawa theory |

Lawrence C. Evans | Fall 2009 | Convexity, quasiconvexity and nonconvexity methods for nonlinear partial differential equations |

David Gabai | Spring 2009 | 3-dimensional hyperbolic geometry, taut foliations, knot theory and the topology of ending lamination space |

Charles Fefferman | Fall 2008 | Extension and Interpolation of Functions |

Robert Bryant | Spring 2008 | Differential Equations and Geometric Structures |

Hendrik W. Lenstra | Fall 2007 | Algorithms for ordered fields |

Peter Sarnak | Fall 2006 | Equidistribution and Primes |

Silvio Micali | Fall 2005 | From Trust to Reason |

Ib Madsen | Spring 2005 | On the Topology of Moduli Spaces of Riemann Surfaces |

Yuval Peres | Fall 2004 | Point Processes, The Stable Marriage Algorithm, and Gaussian Power Series |

Dan-Virgil Voiculescu | Spring 2004 | Aspects of Free Probability |

Richard E. Borcherds | Fall 2003 | Modular forms, Lie algebras & infinite products |

George E. Andrews | Spring 2003 | Rademacher, Ramanujan, Rogers and Partitions |

Harvey Friedman | Fall 2002 | Demonstrably Necessary Uses of Abstraction |

Noga Alon | Spring 2002 | Probabilistic and Algebraic Methods in Discrete Mathematics |

Alan Edelman | Fall 2001 | Linear Algebra: From Theory to Practice |

Dusa McDuff | Spring 2001 | Geometry and topology of groups of symplectomorphisms |

Ueli Maurer | Fall 2000 | Cryptography - Science of paradoxes |

Alexander Givental | Spring 2000 | Symplectic Topology from Hurwitz to Poincare |

S-T Yau | Spring 1999 | Mirror Symmetry |

Persi Diaconis | Fall 1998 | Patterns in Eigenvalues. |

Robert K. Lazarsfeld | Spring 1998 | Introduction: Abelian varieties and theta functions. |

Ronald R. Coifman | Spring 1997 | Adapted waveform analysis, a musical notation for functions. |

Yakov Eliashberg | Fall 1996 | Geometry and topology of affine complex manifolds. |

Richard M. Schoen | Spring 1996 | Variational Problems in Geometry. |

Benedict H. Gross | Fall 1995 | Exceptional Groups and Number Theory. |

Victor Guillemin | Spring 1995 | Geometric Quantization, Representation Theory, and Lattice Point Counting Problems. |

Angus Macintyre | Fall 1994 | The Logic of Subanalytic Geometry. |

William Fulton | Spring 1994 | Degeneracy Loci, Schubert Varieties, and Classical Groups. |

Simon Donaldson | Spring 1994 | Gauge Theory and 4-Manifold Topology Moduli Spaces of Flat Bundles over Surfaces Developments in Floer Homology Gauge Theory & Symplectic Geometry. |

Vaughan F. R. Jones | Spring 1993 | Knots I & II. von Neumann Algebras I & II. |

Ronald L. Graham | Fall 1992 | Quasi-Randomness in Combinatorics. |

Jean-Pierre Serre | Spring 1992 | The Riemann Hypothesis: Why? Prime Numbers, Galois Groups & Modular Forms. |

Don Zagier | Spring 1992 | Special Values of Zeta Functions. |

H. Blaine Lawson, Jr. | Fall 1991 | Connections, Curvature and the Theory of Characteristic Residues Symmetric Products, Algebraic Cycles & Homology of Algebraic Varieties |

Stephen Smale | Spring 1991 | Chaos & Computation. |

A. A. Kirillov | Fall 1990 | The Orbit Method in Representation Theory. |

Izrael M. Gelfand | Spring 1990 | A-Discriminants, Hyperdeterminants and their Quantization. Some Problems Connected with Geometry, Old & New. |

Robert MacPherson | Spring 1990 | Intersection Homology and Perverse Sheaves from a Topological Point of View. |

Yuri I. Manin | Fall 1989 | Counting Rational Points on Algebraic Varieties. |

Clifford Taubes | Spring 1989 | Examples of Dirac Operators on Loop Spaces. |

Vladimir I. Arnold | Spring 1989 | Singularity Theory & Its Applications. |

Paul Erdos | Fall 1988 | Problems & Results in Extremal Graph Theory. Partitions. Problems & Results in Combinatorial Number Theory. |

Joseph Harris | Spring 1988 | Parameter Spaces and Moduli Spaces in Geometry |

Dennis Sullivan | Fall 1987 | Techniques of One-dimensional Dynamics Applied to Renormalization |

Jacques Dixmier | Spring 1987 | Some Aspects of Invariant Theory |

Michael Atiyah | Spring 1987 | Determinants of Dirac Operators |

Lazlo Lovasz | Spring 1986 | Algorithms for Lattices and Convex Bodies |

Barry Mazur | Spring 1986 | Representations of the Galois Group of Q and their Deformations |

Peter D. Lax | Spring 1985 | The Laplace-Beltrami Operator and Automorphic Functions. Applications to Number Theory |

Mikhael Gromov | Fall 1984 | Pseudo Holomorphic Curves in Symplectic Manifolds |

John H. Conway | Spring 1984 | Games, Groups, Lattices, Loops |

Richard G. Swan | Fall 1983 | Projective Modules Over Finite Groups |

Louis Nirenberg | Spring 1983 | Lectures on Non-linear Problems |

Dana Scott | Fall 1982 | Computability and Logic |

Edward Nelson | Spring 1982 | Physical Reality and Mathematical Form |

Robert Tarjan | Spring 1982 | Complexity of Combinatorial Algorithms |

Marcel Berger | Spring 1981 | Some Inequalities in Riemannian Geometry |

Michael Artin | Spring 1981 | Approximating Formal Power Series Solutions of Polynomial Equations and Finite Dimensional Representations of Rings |

Melvin Hochster | Spring 1980 | "Boundary" of Commutative Algebra |

Alain Connes | Spring 1979 | Von Neumann Algebras, Foliations, and the Index Theorem for Homogeneous Spaces of Lie Groups |

S. S. Chern | Fall 1978 | Moving Frames: Old and New Applications |

M. Schutzenberger | Spring 1978 | Mathematical Problems Raised by Kleene's Theorem |

John T. Tate | Spring 1978 | Recent Progress in Analytic Number Theory |

I. M. Singer | Spring 1978 | Some Problems in Global Differential Geometry Related to Quantum Field Theory |