Richard Hamilton (mathematician)

Richard Hamilton
Born	1943 (age 69–70) Cincinnati, Ohio, United States
Nationality	American
Fields	Mathematics
Institutions	Columbia University
Alma mater	Yale University Princeton University
Doctoral advisor	Robert Gunning
Doctoral students	Steven J. Altschuler Martin Lo Lani F. Wu
Known for	Ricci flow
Notable awards	Shaw Prize (2011) Leroy P. Steele Prize (2009) Clay Research Award (2003) Veblen Prize (1996)

Richard Streit Hamilton (born 1943) is Davies Professor of mathematics at Columbia University.

Biography

He received his B.A in 1963 from Yale University and Ph.D. in 1966 from Princeton University. Robert Gunning supervised his thesis. Hamilton has taught at UC Irvine, UC San Diego, Cornell University, and Columbia University.

Hamilton's mathematical contributions are primarily in the field of differential geometry and more specifically geometric analysis. He is best known for having discovered the Ricci flow and suggesting the research program that ultimately led to the proof, by Grigori Perelman, of the Thurston geometrization conjecture and the solution of the Poincaré conjecture. In August 2006, Perelman was awarded, but declined, the Fields Medal for his proof.

Hamilton was awarded the Oswald Veblen Prize in Geometry in 1996 and the Clay Research Award in 2003. He was elected to the National Academy of Sciences in 1999 and the American Academy of Arts and Sciences in 2003. He also received the AMS Leroy P. Steele Prize for a Seminal Contribution to Research in 2009.

On March 18, 2010, it was announced that Perelman had met the criteria to receive the first Clay Millennium Prize for resolution of the Poincaré conjecture. On July 1, 2010, Perelman turned down the prize, saying that he believes his contribution in proving the Poincaré conjecture was no greater than that of Hamilton, who first suggested a program for the solution. In June 2011, it was announced that the million-dollar Shaw Prize would be split equally between Hamilton and Demetrios Christodoulou.

Selected publications

• Hamilton, Richard S. (1982), "Three-manifolds with positive Ricci curvature", Journal of Differential Geometry 17 (2): 255–306, ISSN 0022-040X, MR664497  The paper that introduced Ricci flow.
• Cao, Huai-Dong (2003), Collected Papers on Ricci Flow, Boston: International Press, ISBN 1-57146-110-8 .

See also

• Earle–Hamilton fixed-point theorem

External links

• Richard Hamilton at the Mathematics Genealogy Project
• Richard Hamilton – faculty bio at the homepage of the Department of Mathematics of Columbia University
• Richard Hamilton – brief bio at the homepage of the Clay Mathematics Institute
• 1996 Veblen Prize citation
• Lecture by Hamilton on Ricci flow