# Shigeru Mukai

**Shigeru Mukai** (向井 茂 *Mukai Shigeru*, born 1953) is a Japanese mathematician at Kyoto University specializing in algebraic geometry.

Shigeru Mukai | |
---|---|

Born | 1953 |

Nationality | Japan |

Alma mater | Kyoto University (Ph.D., 1982) |

Known for | Fourier-Mukai transform |

Awards | MSJ Autumn Prize (1996) Chunichi Culture Award (中日文化賞) (2000)[1] Osaka Prize (2003) |

Scientific career | |

Fields | Mathematics |

Institutions | Kyoto University Nagoya University |

## Work

He introduced the Fourier–Mukai transform in 1981 in a paper on abelian varieties, which also made up his doctoral thesis. His research since has included work on vector bundles on K3 surfaces, three-dimensional Fano varieties, moduli theory, and non-commutative Brill-Noether theory. He also found a new counterexample to Hilbert's 14th problem (the first counterexample was found by Nagata in 1959).

## Publications

- Mukai, Shigeru; Oxbury, W. M. (8 September 2003) [1998],
*An Introduction to Invariants and Moduli*, Cambridge Studies in Advanced Mathematics,**81**, Cambridge University Press, ISBN 978-0-521-80906-1, MR 2004218 - Mukai, Shigeru (5 December 2008),
*モジュライ理論（1）*[*Moduli Theory (1)*], Iwanami Shoten, ISBN 9784000060578 - Mukai, Shigeru (5 December 2008),
*モジュライ理論（2）*[*Moduli Theory (2)*], Iwanami Shoten, ISBN 9784000060585 - Mukai, Shigeru (1981). "Duality between and with its application to Picard sheaves".
*Nagoya Mathematical Journal*.**81**: 153–175. ISSN 0027-7630.

## References

- 第５１回～第６０回受賞者 [Award winners: 51st - 60th].
*Chunichi Web*(in Japanese). Japan: The Chunichi Shimbun. Retrieved 4 December 2012.

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