Richard S. Hamilton

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Richard S. Hamilton 1982

Richard S. Hamilton ( Richard Streit Hamilton ; * 1943 in Cincinnati ) is an American mathematician . He teaches as a professor at Columbia University .

Hamilton studied at Yale University (bachelor's degree in 1963) and received his doctorate in 1966 from Princeton University under Robert Gunning ( Variation of structure of Riemann surfaces ). Prior to his professorship at Columbia University, he was professor at Cornell University and the University of California, Berkeley . Among other things, he was visiting scholar at the University of Warwick , the Courant Institute of Mathematical Sciences of New York University and the University of Hawaii.

Hamilton dealt mainly with differential geometry. With his work on the Ricci River (introduced by him in 1982) he made decisive preliminary work for the proof of the Poincaré conjecture by Grigorij Perelman . In 2006 he gave a plenary lecture at the International Congress of Mathematicians (ICM) in Madrid (The Poincare Conjecture), and in 1986 he was invited speaker at the ICM in Berkeley (Parabolic equations in differential geometry).

In 1996 he received the Oswald Veblen Prize , and in 2011 together with Demetrios Christodoulou the Shaw Prize in Mathematics. In 1999 Hamilton was elected to the National Academy of Sciences and in 2003 to the American Academy of Arts and Sciences .

Fonts

  • Harmonic maps of manifolds with boundaries. Springer Verlag, 1975.
  • The inverse function theorem of Nash and Moser. In: Bulletin of the American Mathematical Society. Volume 7, 1982, pp. 65–222 ( PDF; 12 MB )
  • Three-manifolds with positive Ricci curvature. In: Journal of Differential Geometry. 17, No. 2, 1982, pp. 255-306.
  • with M. Gage: The heat equation shrinking convex plane curves. In: Journal of Differential Geometry. 23, No. 1, 1986, pp. 69-96.
  • Four manifolds with positive curvature operator. In: Journal of Differential Geometry. 24, No. 2, 1986, pp. 153-179.
  • The Ricci flow on surfaces. In: James A. Isenberg (Ed.): Mathematics and general relativity (= Contemporary Mathematics. 71). American Mathematical Society, Providence (RI) 1988, ISBN 978-0-8218-5079-4 .
  • The Harnack estimate for the Ricci flow. In: Journal of Differential Geometry. 37, no. 1, 1993, pp. 225-243.
  • A compactness property for solutions of the Ricci flow. Amer. J. Math. 117 (1995) no. 3, 545-572.
  • The formation of singularities in the Ricci flow. In: Surveys in differential geometry. Vol. II. International Pres, Cambridge (MA) 1995, pp. 7-136
  • Four-manifolds with positive isotropic curvature. In: Communications in Analysis and Geometry. 5, No. 1, 1997, pp. 1-92.
  • Non-singular solutions of the Ricci flow on three manifolds. In: Communications in Analysis and Geometry. 7, No. 4, 1999, 695-729.

Web links

Footnotes

  1. ^ Three-manifolds with positive Ricci curvature. In: Journal of Differential Geometry. 17, No. 2, 1982, pp. 255-306.
  2. ↑ ETH researcher receives half a million dollars . In: Tages-Anzeiger . June 8, 2011
personal data
SURNAME Hamilton, Richard S.
ALTERNATIVE NAMES Hamilton, Richard Streit
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH 1943
PLACE OF BIRTH Cincinnati