Shigeru Mukai

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Shigeru Mukai ( Japanese 向 井 茂 , Mukai Shigeru ; * December 8, 1953 ) is a Japanese mathematician who deals with algebraic geometry .

Mukai studied at Kyōto University with a degree in 1978 and a doctorate in 1982 ( Duality between D (X) and D (X̂) with its application to Picard sheaves ). From 1978 he was at Nagoya University. In 1981 he was at the Institute for Advanced Study and in 1982 at the Max Planck Institute for Mathematics . In 1984 he became a lecturer at Nagoya University , was assistant professor at the University of California, Los Angeles in 1988 , and from 1990 professor at Nagoya University. In 2001 he became professor at the Research Institute for Mathematical Sciences (RIMS) at Kyoto University.

In 1981 he introduced a construction analogous to the Fourier transform in algebraic geometry (as a functor between derived categories of coherent sheaves on Abelian varieties and their dual varieties). It is known as the Fourier-Mukai transform.

He also researched vector bundles on K3 surfaces, three-dimensional Fano varieties, theory of moduli, non-commutative Brill-Noether theory.

He also found a new counterexample to Hilbert's 14th problem (a first counterexample found in 1959 by Masayoshi Nagata ).

In 1996 he received the Autumn Prize of the Japanese Mathematical Society . In 2002 he was invited speaker at the International Congress of Mathematicians in Beijing ( Vector Bundles on a K3 Surface ). In 2003 he received the Osaka Science Prize and in 2000 the Chunichi Culture Prize .

Fonts

  • An introduction to invariants and moduli, Cambridge University Press 2003
  • Theory of moduli, 2 volumes, Iwanami Shoten 2008 (Japanese)
  • Duality between D (X) and D (X ̂) with its application to Picard sheaves . In: Nagoya Mathematical Journal . tape 81 , 1981, pp. 153-175 ( full text ).

Web links

Individual evidence

  1. ↑ Entry 000007498572 in the Doctoral Dissertation Bibliographic Database of the National Institute of Informatics
personal data
SURNAME Mukai, Shigeru
ALTERNATIVE NAMES 向 井 茂 (Japanese)
BRIEF DESCRIPTION Japanese mathematician
DATE OF BIRTH December 8, 1953