• Source: Hiraku Nakajima

Hiraku Nakajima (Japanese: 中島 啓 Nakajima Hiraku; born November 30, 1962) is a Japanese mathematician, and a professor of the Kavli Institute for the Physics and Mathematics of the Universe at the University of Tokyo. He is International Mathematical Union president for the 2023–2026 term.
He obtained his Ph.D. from the University of Tokyo in 1991. In 2002 he was plenary speaker at the International Congress of Mathematicians in Beijing. He won the 2003 Cole Prize in algebra for his work on representation theory and geometry. He proved Nekrasov's conjecture.




Biography


1985 - BA from the University of Tokyo
1987 - MA from the University of Tokyo, and became a research associate at the University of Tokyo
1991 - PhD from the University of Tokyo
1992 - Associate professor at Tohoku University
1995 - Associate professor at the University of Tokyo
1997 - Associate professor at Kyoto University
2000 - Full professor at Kyoto University
2018 - Full professor at Kavli Institute for the Physics and Mathematics of the Universe




Awards and prizes


1997 - Geometry Prize of the Mathematical Society of Japan
2000 - Spring Prize of the Mathematical Society of Japan
2003 - Cole Prize in algebra of the American Mathematical Society
2005 - JSPS prize of the Japan Society for the Promotion of Science
2014 - Japan Academy Prize




Notable publications


Shigetoshi Bando, Atsushi Kasue, and Hiraku Nakajima. On a construction of coordinates at infinity on manifolds with fast curvature decay and maximal volume growth. Invent. Math. 97 (1989), no. 2, 313–349. doi:10.1007/BF01389045
Hiraku Nakajima. Instantons on ALE spaces, quiver varieties, and Kac-Moody algebras. Duke Math. J. 76 (1994), no. 2, 365–416. doi:10.1215/S0012-7094-94-07613-8
Hiraku Nakajima. Heisenberg algebra and Hilbert schemes of points on projective surfaces. Ann. of Math. (2) 145 (1997), no. 2, 379–388. doi:10.2307/2951818 , arXiv:alg-geom/9507012
Hiraku Nakajima. Quiver varieties and Kac-Moody algebras. Duke Math. J. 91 (1998), no. 3, 515–560. doi:10.1215/S0012-7094-98-09120-7
Hiraku Nakajima. Quiver varieties and finite-dimensional representations of quantum affine algebras. J. Amer. Math. Soc. 14 (2001), no. 1, 145–238. doi:10.1090/S0894-0347-00-00353-2




External links


Nakajima's homepage
"2003 Cole Prize in Algebra" (PDF), Notices of the American Mathematical Society, 50 (4): 468–469, 2003

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