The work of the Fields Medalists, the Rolf Nevanlinna Prize Winner and the Gauss Prize Winner
Giovanni Felder, The work of Andrei Okounkov
John Lott, The work of Grigory Perelman
Charles Fefferman, The work of Terence Tao
Charles M. Newman, The work of Wendelin Werner
John Hopcroft, The work of Jon Kleinberg
Hans Föllmer, On Kiyosi Itô's work and its impact
Percy Deift, Universality for mathematical and physical systems
Jean-Pierre Demailly, Kähler manifolds and transcendental techniques in algebraic geometry
Ronald A. DeVore, Optimal computation
Yakov Eliashberg, Symplectic field theory and its applications
Étienne Ghys, Knots and dynamics
Henryk Iwaniec, Prime numbers and L-functions
Iain M. Johnstone, High dimensional statistical inference and random matrices
Kazuya Kato, Iwasawa theory and generalizations
Robert V Kohn, Energy-driven pattern formation
Ib Madsen, Moduli spaces from a topological viewpoint
Arkadi Nemirovski, Advances in convex optimization: conic programming
Sorin Popa, Deformation and rigidity for group actions and von Neumann algebras
Alfio Quarteroni, Cardiovascular mathematics
Oded Schramm, Conformally invariant scaling limits: an overview and a collection of problems
Richard P. Stanley, Increasing and decreasing subsequences and their variants
Terence Tao, The dichotomy between structure and randomness, arithmetic progressions, and the primes
Juan Luis Vázquez, Perspectives in nonlinear diffusion: between analysis, physics and geometry
Michèle Vergne, Applications of equivariant cohomology
Avi Wigderson, P, NP and mathematics -- a computational complexity perspective
John W. Morgan, The Poincaré Conjecture
Panel discussion organised by the European Mathematical Society, Should mathematicians care about communicating to broad audiences? Theory and practice
ICM 2006 Closing round table, Are pure and applied mathematics drifting apart
José M. Sánchez-Ron, From the private to the public: the road from Zurich (1897) to Madrid (2006)