Shigefumi Mori

Shigefumi Mori

Shigefumi Mori ( Japanese 森 重 文 , Mori Shigefumi ; born February 23, 1951 in Nagoya , Japan ) is a Japanese mathematician who received the Fields Medal in 1990 for his work in algebraic geometry .

life and work

Mori studied at the University of Kyoto , where he received his master's degree in 1975. In 1978 he received his doctorate under Masayoshi Nagata with his dissertation on endomorphism rings of special Abelian varieties . In 1980 he moved to the university in his hometown Nagoya , where he became a full professor in 1988. In 1990 he went back to the University of Kyoto . In addition, he held various visiting professorships in the USA, including 1980 to 1981 at the Institute for Advanced Study in Princeton .

Shigefumi Mori was President of the International Mathematical Union (IMU) for the period 2015-2018.

In 1978 he proved the Hartshorne conjecture about algebraic varieties with “ample bundle”, namely that projective varieties are the only complete algebraic varieties with “ample” tangent vector spaces (bundles).

He then devoted himself to the classification of three-dimensional algebraic varieties, after the classification of two-dimensional algebraic varieties, in particular by the Italian ( Guido Castelnuovo , Federigo Enriques , Francesco Severi ) and Russian schools, had already come to a certain degree. In 1981 he started with the classification of the 3-dimensional varieties of the Fano type. The work on the classification in the general three-dimensional case was accomplished by him and some colleagues in the 1980s, including the introduction of new techniques (flips, flops). In 1990 he received the Fields Medal for this at the ICM in Kyōto (plenary lecture: Birational classification of algebraic 3-folds). He was elected to the American Academy of Arts and Sciences in 1992 and to the National Academy of Sciences in 2017 . In 2018 he was chairman of the Fields Medal Committee.

In 1998 the asteroid (6979) Shigefumi was named after him.

Fonts

• Flip theorem and the existence of minimal models for 3-folds , Journal of the AMS 1, 1988, pp. 117-253

literature

• Heisuke Hironaka : On the Work of Shigefumi Mori in Ichirō Satake (ed.): Proceedings of the International Congress of Mathematicians, August 21-29, 1990, Kyōto, Japan , Springer, 1991 (English; laudatory speech for Fields Medal 1990; online )
• Alessio Corti: What is… a Flip? ( PDF file, 64 kB), Notices of the AMS 51, December 2004, pp. 1350–1351 (English)
• Kenji Matsuki Introduction to the Mori Program , Springer 2002

Web links

• John J. O'Connor, Edmund F. Robertson :  Shigefumi Mori. In: MacTutor History of Mathematics archive .

Individual evidence

1. ↑ International Mathematical Union ( Memento of the original from May 24, 2015 in the Internet Archive ) Info: The archive link has been inserted automatically and has not yet been checked. Please check the original and archive link according to the instructions and then remove this notice. 
2. ↑ Minor Planet Circ. 32347