Richard S. Hamilton
American mathematician (born 1943) / From Wikipedia, the free encyclopedia
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Richard Streit Hamilton (born 10 January 1943) is an American mathematician who serves as the Davies Professor of Mathematics at Columbia University. He is known for contributions to geometric analysis and partial differential equations. Hamilton is best known for foundational contributions to the theory of the Ricci flow and the development of a corresponding program of techniques and ideas for resolving the Poincaré conjecture and geometrization conjecture in the field of geometric topology. Grigori Perelman built upon Hamilton's results to prove the conjectures, and was awarded a Millennium Prize for his work. However, Perelman declined the award, regarding Hamilton's contribution as being equal to his own.
Richard Hamilton | |
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Born | (1943-01-10) January 10, 1943 (age 81) |
Nationality | American |
Alma mater | Yale University (BA) Princeton University (PhD) |
Known for | Convergence theorems for Ricci flow Dirichlet problem for harmonic maps and harmonic map heat flow Li–Yau inequalities for Ricci flow and other geometric flows Maximum principle for parabolic systems Nash–Moser theorem Ricci flow with surgery in four dimensions for positive isotropic curvature |
Awards | Veblen Prize (1996) Clay Research Award (2003) Leroy P. Steele Prize (2009) Shaw Prize (2011) |
Scientific career | |
Fields | Mathematics |
Institutions | Cornell University University of California, San Diego Columbia University University of Hawaiʻi at Mānoa |
Thesis | Variation of structure on Riemann surfaces (1969) |
Doctoral advisor | Robert Gunning |
Doctoral students | Martin Lo |