born April 1, 1947, Darguignan, France Contributed to the theory of operator algebras, particularly the general classification and structure theorem of factors of type III, classification of automorphisms of the hyperfinite factor, classification of injective factors, and applications of the theory of C*-algebras to foliations and differential geometry in general. born October 30, 1946, Washington, D.C. Revolutionized study of topology in 2 and 3 dimensions, showing interplay between analysis, topology, and geometry. Contributed idea that a very large class of closed 3-manifolds carry a hyperbolic structure. Alain CONNES
Institut des Hautes Études Scientifiques
William P. THURSTON
Princeton University