Hiraku Nakajima

Hiraku Nakajima
Born	(1962-11-30)November 30, 1962 Tokyo
Nationality	Japan
Alma mater	University of Tokyo
Awards	Geometry Prize(1997) Cole Prize(2003)
Scientific career
Fields	Mathematics
Institutions	Kyoto University Research Institute for Mathematical Sciences

Hiraku Nakajima(Japanese:Trung đảo khảiNakajima Hiraku;born November 30, 1962) is a Japanesemathematician,and a professor of theKavli Institute for the Physics and Mathematics of the Universeat theUniversity of Tokyo.He isInternational Mathematical Unionpresident for the 2023–2026 term.

He obtained hisPh.D.from theUniversity of Tokyoin 1991. In 2002 he was plenary speaker at theInternational Congress of MathematiciansinBeijing.He won the 2003Cole Prizein algebra for his work onrepresentation theoryandgeometry.He provedNekrasov'sconjecture.

Biography

• 1985 - BA from theUniversity 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 atTohoku University
• 1995 - Associate professor at the University of Tokyo
• 1997 - Associate professor atKyoto University
• 2000 - Full professor at Kyoto University
• 2018 - Full professor atKavli Institute for the Physics and Mathematics of the Universe

Awards and prizes

• 1997 -Geometry Prizeof theMathematical Society of Japan
• 2000 -Spring Prizeof the Mathematical Society of Japan
• 2003 -Cole Prizein algebra of theAmerican Mathematical Society
• 2005 - JSPS prize of theJapan 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