Mathematics is the basic language of all natural sciences and all modern technology. In the twentieth century mathematics made tremendous strides both in opening new frontiers and in solving important and difficult old problems. Its influence permeates every creative scientific and technological discipline, and extends into the social science.
With the developments in computer science, information technology, and statistics in the twentieth century, the importance of mathematics to mankind will be further enhanced in the twenty-first century.
■ Gerd Faltings and Henryk Iwaniec
■ George Lusztig
■ David L Donoho
■ Maxim Kontsevich
■ Demetrios Christodoulou and Richard S Hamilton
■ Jean Bourgain
■ Simon K Donaldson and Clifford H Taubes
■ Vladimir Arnold and Ludwig Faddeev
■ Robert Langlands and Richard Taylor
■ David Mumford and Wentsun Wu
■ Andrew John Wiles
■ Shiing Shen Chern