Richard Hamilton (mathematician)

Richard S. Hamilton ( born 1943 in Cincinnati ) is an American mathematician. He is a professor at Columbia University.

Hamilton studied at Yale University ( Bachelor's degree 1963) and in 1966 received his doctorate from Princeton University with Robert Gunning (variation of structure of Riemann surfaces ). Prior to his professorship at Columbia University, he was a professor at Cornell University and the University of California, Berkeley. He has been a visiting scientist at the University of Warwick, at the Courant Institute of Mathematical Sciences of New York University and the University of Hawaii.

Hamilton dealt primarily with differential geometry. (Introduced by him in 1982 ) with his work on the Ricci flow, he carried out important groundwork for the proof of the Poincaré conjecture by Grigori Perelman. In 2006 he gave a plenary lecture at the International Congress of Mathematicians in Madrid (The Poincare Conjecture) and 1986 he was invited speaker at the ICM, Berkeley (Parabolic equations in differential geometry ).

In 1996 he was awarded the Oswald Veblen - Prize, in 2011, together with Demetrios Christodoulou the Shaw Prize in Mathematics.

Writings

• Harmonic maps of manifolds with boundaries. Springer Verlag, 1975.
• Richard S. Hamilton: The inverse function theorem of Nash and Moser. Bulletin of the AMS, Volume 7, 1982, p 65-222, pdf file, 12 MB.
• Three- manifolds with positive Ricci curvature. J. Differential Geom 17 (1982 ), no 2, 255-306.
• Four - manifolds with positive curvature operator. J. Differential Geom 24 (1986 ), no 2, 153-179.
• Four - manifolds with positive isotropic curvature. Comm. Anal. Geom 5 (1997 ), no 1, 1-92.