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. doi:10.1017/S002776300001922X. 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.
External links
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