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.

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).

• 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.

• Official website
• Shigeru Mukai at the Mathematics Genealogy Project