# Fields Medals and Nevanlinna Prize 1986

## Fields Medals

born August 20, 1957, Cambridge, England

Oxford University

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

Princeton University

Using methods of arithmetic algebraic geometry, he received medal primarily for his proof of the Mordell Conjecture.

born April 21, 1951, Los Angeles

University of California, San Diego

Developed new methods for topological analysis of four-manifolds. One of his results is a proof of the four-dimensional Poincaré Conjecture.

``Valiant has contributed in a decisive way to the growth of almost every branch of the fast growing young tree of theoretical computer science, his theory of *counting problems* being perhaps his most important and mature work''

*Volker Strassen*

This document has been reproduced from

Albers, Donald J.; Alexanderson, G. L.; Reid, Constance:

*International mathematical congresses. An illustrated history 1893 - 1986*

Rev. ed. including ICM 1986. Springer-Verlag, New York, 1986

with friendly permission from Springer Verlag