Shigefumi Mori

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Shigefumi Mori
Shigefumi Mori
Born	February 23, 1951
Nationality	Japan
Fields	Mathematician
Known for	Algebraic geometry
Notable awards	Fields Medal in 1990

Shigefumi Mori (森 重文 Mori Shigefumi, born February 23, 1951) is a Japanese mathematician, known for his work in algebraic geometry, particularly in relation to the classification of three-folds.

He generalized the classical approach to the classification of algebraic surfaces to the classification of algebraic three-folds. The classical approach used the concept of minimal models of algebraic surfaces. He found that the concept of minimal models can be applied to three-folds as well if we allow some singularities on them.

The extension of Mori’s results to dimensions higher than three is called the Mori program and as of 2006, is an extremely active area of algebraic geometry.

He was awarded the Fields Medal in 1990 at the International Congress of Mathematicians.

[edit] Selected publications

• Mori, Shigefumi (1979). "Projective manifolds with ample tangent bundles". Ann. of Math. 110: 593--606. 

• Mori, Shigefumi (1982). "Threefolds whose canonical bundles are not numerically effective". Ann. of Math. 116: 133--176. 

• Mori, Shigefumi (1988). "Flip theorem and existence of minimal models for 3-folds". J. Amer. Math. Soc. 1: 117--253. 

v • d • e Fields Medalists Lars Ahlfors / Jesse Douglas (1936) · Laurent Schwartz / Atle Selberg (1950) · Kunihiko Kodaira / Jean-Pierre Serre (1954) · Klaus Roth / René Thom (1958) · Lars Hörmander / John Milnor (1962) · Michael Atiyah / Paul Cohen / Alexander Grothendieck / Stephen Smale (1966) · Alan Baker / Heisuke Hironaka / Sergei Petrovich Novikov / John G. Thompson (1970) · Enrico Bombieri / David Mumford (1974) · Pierre Deligne / Charles Fefferman / Grigory Margulis / Daniel Quillen (1978) · Alain Connes / William Thurston / Shing-Tung Yau (1982) · Simon Donaldson / Gerd Faltings / Michael Freedman (1986) · Vladimir Drinfel'd / Vaughan Jones / Shigefumi Mori / Edward Witten (1990) · Efim Zelmanov / Pierre-Louis Lions / Jean Bourgain / Jean-Christophe Yoccoz (1994) · Richard Borcherds / William Timothy Gowers / Maxim Kontsevich / Curtis T. McMullen (1998) · Laurent Lafforgue / Vladimir Voevodsky (2002) · Andrei Okounkov / Grigori Perelman / Terence Tao / Wendelin Werner (2006)