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# Shigeru Mukai

Shigeru Mukai
Born1953
NationalityJapan
Alma materKyoto University (Ph.D., 1982)
Known forFourier-Mukai transform
AwardsMSJ Autumn Prize (1996)
Chunichi Culture Award (中日文化賞) (2000)[1]
Osaka Prize (2003)
Scientific career
FieldsMathematics
InstitutionsKyoto University
Nagoya University

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

## 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 ${\displaystyle D(X)}$ and ${\displaystyle D({\hat {X}})}$ with its application to Picard sheaves". Nagoya Mathematical Journal. 81: 153–175. doi:10.1017/S002776300001922X. ISSN 0027-7630.

## References

1. ^ 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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