Fields Prize is called the Nobel Prize in mathematics, but it is only awarded to young mathematicians under 40. Although it does not have the nature of a lifetime achievement award, the mathematician who won the Fields Prize must be a master of mathematics with far-reaching influence. At the 2002 International Congress of Mathematicians, seven Fields Prize winners gathered in Beijing. The following are the profiles of the seven winners.
D.B. Mountford (Mountford, David Bouillard, 1937.6-): American mathematician. Born in England,/kloc-was admitted to Harvard University at the age of 0/6, and stayed there after graduation. 1974 won the Fields Medal in Vancouver. Main achievements: the parametric theory of algebraic geometry, he creatively applied the theory of invariants, which produced many new results, thus producing the theory of geometric invariants; It is proved that algebraic surfaces are different from algebraic curves and high-dimensional algebraic clusters, which is helpful to the classification of algebraic surfaces.
Qiu Shengdong (1949.4-) is a Chinese American mathematician. Born in Guangdong, China, 197 1 received a doctorate from the University of California, Berkeley, and later became a tenured professor at Princeton Institute of Advanced Studies. 1983 won the Fields Medal in Warsaw. Main achievements: Prove Calabi conjecture in differential geometry; The positive mass conjecture in general relativity is proved. He made innovations in high-dimensional Minkowski problem, three-dimensional manifold topology and minimal surface.
S. Donaldson (Simon, 1957.8-) is a British mathematician. 1986 won the Fields Medal in Berkeley. He worked at Oxford University when he won the prize. Main achievements: Research on four-dimensional manifold topology. He discovered the unpredictable mysterious phenomenon in four-dimensional geometry, and came to the conclusion that there is a "weird" four-dimensional space, that is, a differential manifold that is topologically homeomorphic to the standard Euclidean space but not differentially homeomorphic.
Tomomi Mori (195 1.2-) is a Japanese mathematician. 1990 won the Fields Medal in Tokyo. He worked in Kyoto Institute of Mathematical Sciences when he won the prize. Main achievements: classification of three-dimensional algebraic clusters. He established a classification study of three-dimensional algebraic clusters and found some transformations-called "f lip"-that existed at least in three-dimensional situations. Thus updating other mathematicians' research on singularities.
E witten (Edward, 195 1-) is an American mathematician. 1990 won the Fields Medal in Tokyo. When he won the prize, he was at the Institute for Advanced Studies in Princeton. Major achievements; String theory. He made great contributions to superstring theory, making it possible to make a unified mathematical treatment among relativity, quantum mechanics and particle interaction (this is Einstein's dream for most of his life). He proved that the state space is two-dimensional in all cases of Chen Shengsheng-Simmons theory.
Yoccoz (Jeanchristophe, 1957-) is a French mathematician. 1994 won the Fields Medal in Zurich, Switzerland. At that time, he was a professor at the University of Nantes in Paris and a member of the Institute of French Universities. Main achievements: He combined the quasi-periodic and hyperbolic conditions of complex dynamic systems. Thus, profound achievements have been made in the characteristics and classification of more general complex dynamic systems, which greatly promoted the development of dynamic systems.
Gowers (W. Timothy, 1963-) is a British mathematician. 1998 won the Fields Medal in Berlin. He worked at Cambridge University when he won the prize. Main achievements: Banach space theory and combinatorics. He used a lot of methods in combinatorial theory to construct a model with unexpected characteristics in infinite dimensional space, which attracted the attention of his peers. He also took the lead in discovering and overthrowing the "hyperplane conjecture" put forward by the Polish mathematician Barnach in the 1920s-infinite dimensional space and its hyperplane are not necessarily isomorphic. (Reporter Zhang finishing)