Shigeru Mukai

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), An Introduction to Invariants and Moduli, Cambridge Studies in Advanced Mathematics, 81, Cambridge University Press, ISBN 978-0-521-80906-1 
• Mukai, Shigeru (5 December 2008), モジュライ理論（1）, Iwanami Shoten, ISBN 978-400006057-8 
• Mukai, Shigeru (5 December 2008), モジュライ理論（2）, Iwanami Shoten, ISBN 978-400006058-5 
• Mukai, Shigeru (1981). "Duality between [math]\displaystyle{ D(X) }[/math] and [math]\displaystyle{ D(\hat X) }[/math] with its application to Picard sheaves". Nagoya Mathematical Journal 81: 153–175. doi:10.1017/S002776300001922X. ISSN 0027-7630. http://projecteuclid.org/euclid.nmj/1118786312. 

References

External links

• Shigeru Mukai at the Mathematics Genealogy Project

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