| 1. | Andrew Wiles (Princeton University) | July 6, 1999 |
| | Number theory past and present |
| 2. | Jacques Tilouine (University of Paris 13 and Institut Universitaire
de France) | October 12, 1999 |
| | Deforming modular forms and their Galois representations |
| 3. | Richard Taylor (Harvard University) | January 18, 2000 |
| | The local Langlands conjecture |
| 4. | Robert Guralnick (University of Southern California) | February 15, 2000 |
| | Some applications of the
classification of finite simple groups |
| 5. | Peter Schneider (University of Münster) | February 22, 2000 |
| | Continuous
p-adic representation theory of the group GL2 |
| 6. | Kazuya Kato (University of Tokyo) | May 1, 2000 |
| | Classical Iwasawa theory and its generalization to elliptic curves and modular forms |
| 7. | Ralph Greenberg (University of Washington) | May 9, 2000 |
| | Mordell-Weil groups and Iwasawa theory |
| 8. | Fabien Morel (University of Paris 7) | May 23, 2000 |
| | The Adams spectral sequence for
algebraic homotopy groups of spheres and the Milnor conjecture on invariants of quadratic forms |
| 9. | Stephen Lichtenbaum (Brown University) | October 2,
2000 |
| | Special values of zeta functions |
| 10. | Lecture canceled | October 23, 2000 |
| 11. | Masato Kurihara (Tokyo Metropolitan University) | November 21, 2000 |
| | Iwasawa theory and cyclotomic fields |
| 12. | Bruno Khan (University of Paris 7) | February 5, 2001 |
| | Motivic cohomology, L-adic cohomology and the Tate conjecture |
| 13. | Gisbert Wüstholz (ETH, Zurich) | February 12, 2001 |
| | Diophantine evolution |
| 14. | Andrew Casson (Yale University) | March 5, 2001 |
| | Progress and challenges in 3-dimensional topology |
| 15. | Hélène Esnault (University of Essen) | May 23, 2001 |
| | Gausse-Manin determinant and Tate
linear algebra |
| 16. | Robert MacPherson (Institute for Advanced Studies, Princeton)
| June 7, 2001 |
| | On the topology of torus actions |
| 17. | Stephen Kudla (University of Maryland) | June 12, 2001 |
| | Modular generating functions:
geometric and arithmetic |
| 18. | Pierre Colmez (University of Paris 7) | October
9, 2001 |
| | Galois representations and differential equations |
| 19. | Marie-France Vigneras (University of Paris 7) | November 1, 2001 |
| | Local Langlands correspondence between Galois and linear groups |
|
| 20. | Albert Fathi (Ecole Normale Supérieure de Lyon) | January 24, 2002 |
| | The Hamilton-Jacobi equation: the revival of the interplay between partial differential equations and Lagrangian
dynamics |
| 21. | Lucien Szpiro (Graduate School, City University of New York) | January 28, 2002 |
| | Heights and discriminants |
| 22. | Dorian Goldfeld (Columbia University) | February 19, 2002 |
| | Multiple Dirichlet series and
moments of zeta and L-functions |
| 23. | Benedict H. Gross (Harvard University) | May 20, 2002 |
| | The characteristic polynomials of
automorphisms of lattices |
| 24. | Christophe Breuil (University of Paris 11) | April 23,
2002 |
| | Integral p-adic Hodge theory |
| 25. | John Conway (Princeton University) | September 30, 2002 |
| | The mysterious arithmetic of Lexicographic codes |
| 26. | Michel Waldschmidt (University of Paris 6) | October 8, 2002 |
| | Periods, zeta values, and diophantine problems |
| 27. | Spencer Bloch (University of Chicago) | December 3, 2002 |
| | Periods associated to linear differential equations |
| 28. | Shing-Tung Yau (Harvard University) | February 5, 2003 |
| | Conformal field theory and geometry |
| 29. | Jean-Marc Fontaine (University of Paris 11) | February 26, 2003 |
| |
p-adic Galois representations |
| 30. | Preda Mihailescu (University of Paderborn) | April 28, 2003 |
| | On Catalan's conjecture |
| 31. | Claude LeBrun (SUNY, Stony Brook) | May 22, 2003 |
| | 4-dimensional Einstein manifolds |
| 32. | Gerd Faltings (Max Planck Institute of Mathematics, Bonn)
| October 28, 2003 |
| | p-adic Hodge theory |
| 33. | Jean-François Le Gall (Ecole Normale Supérieure, Paris)
| December 4, 2003 |
| | Continuous random trees and their
applications to combinatorics and partial differential equations |
| 34. | John Toland (University of Bath) | January 20, 2004 |
| | Linking in the calculus of variations |
| 35. | David Preiss (University College, London) | February 16, 2004 |
| | Measure, derivative, and infinitely
many dimensions |
| 36. | Daqing Wan (University of California, Irvine) | February 17, 2004 |
| | Moment zeta functions |
| 37. | Bernard Malgrange (Université Joseph Fourier, Grenoble) | April
27, 2004 |
| | On non-linear differential Galois Theory |
| 38. | Ioannis Karatzas (Columbia University) | May 4, 2004 |
| | Diversity and arbitrage in equity markets |
| 39. | Michael Aschbacher (California Institute of Technology) | May 18, 2004 |
| | Finite simple groups |
| 40. | Edward Frenkel (University of California, Berkeley) | May 24, 2004 |
| | Local Langlands correspondence for
Kac-Moody algebras |
| 41. | Anthony Scholl (University of Cambridge) | April 6, 2004 |
| | A century of arithmetic algebraic
geometry |
| 42. | Takeshi Saito (University of Tokyo) | October 19, 2004 |
| | Galois representations in arithmetic geometry |
| 43. | Peter Kronheimer (Harvard University) | October 26, 2004 |
| | Dehn surgery and the fundamental group |
| 44. | Freydoon Shahidi (Purdue University) | January 18, 2005 |
| | Hyperbolic lattice points and the theory of automorphic forms |
| 45. | Samuel Patterson (Gottingen University) | March 1, 2005 |
| | The Kummer conjecture today |
| 46. | Geoffrey Grimmett (Cambridge University) | March 20, 2005 |
| | Conformality in probability and discrete mathematics |
| 47. | Kazuhiro Fujiwara (Nagoya University) | April 26, 2005 |
| | Counting the number of solutions in finite fields |
| 48. | Paula Cohen (Texas A & M University) | May 3, 2005 |
| | Modular and hypergeometric functions, transcendence and monodromy |
| 49. | Christopher Skinner (University of Michigan) | May 24, 2005 |
| | Elliptic curves and main conjectures |
