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.

2016

■ Nigel J Hitchin

2015

■ Gerd Faltings and Henryk Iwaniec

2014

■ George Lusztig

2013

■ David L Donoho

2012

■ Maxim Kontsevich

2011

■ Demetrios Christodoulou and Richard S Hamilton

2010

■ Jean Bourgain

2009

■ Simon K Donaldson and Clifford H Taubes

2008

■ Vladimir Arnold and Ludwig Faddeev

2007

■ Robert Langlands and Richard Taylor

2006

■ David Mumford and Wentsun Wu

2005

■ Andrew John Wiles

2004

■ Shiing Shen Chern