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| 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 |