Shigeru Mukai

Shigeru Mukai
Mukai at Oberwolfach in 2012
Born	1953
Nationality	Japanese
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

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) [First published 1998], An Introduction to Invariants and Moduli, Cambridge Studies in Advanced Mathematics, vol. 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 978-400006057-8
• Mukai, Shigeru (5 December 2008), モジュライ理論（2） [Moduli Theory (2)], Iwanami Shoten, ISBN 978-400006058-5
• 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]. The Chunichi Shimbun (in Japanese). Japan. Retrieved 4 December 2012.

External links

• Official website
• Shigeru Mukai at the Mathematics Genealogy Project