born August 20, 1957, Cambridge, England Received medal primarily for his work on topology of four-manifolds, especially for showing that there is a differential structure on euclidian four-space which is different from the usual structure. born July 28, 1954, Gelsenkirchen-Buer, Germany Using methods of arithmetic algebraic geometry, he received medal primarily for his proof of the Mordell Conjecture.
Simon K. DONALDSON
Oxford University
Gerd FALTINGS
Princeton University