Hiraku Nakajima
Born (1962-11-30) November 30, 1962
Nationality Japan
Alma materUniversity of Tokyo
AwardsGeometry Prize (1997)
Cole Prize (2003)
Scientific career
FieldsMathematics
InstitutionsKyoto University
Research Institute for Mathematical Sciences

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

Awards and prizes

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. Free access icon Invent. Math. 97 (1989), no. 2, 313–349. doi:10.1007/BF01389045 Closed access icon
  • 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 Closed access icon
  • 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 Closed access icon, arXiv:alg-geom/9507012 Free access icon
  • 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 Closed access icon
  • 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 Free access icon


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