Mathematics Atlas

How Proof Is Made
Mathematicians

Richard Hamilton

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American mathematician who introduced the Ricci flow equation in a 1982 paper and developed it over two decades into the program that Grigori Perelman completed to prove the Poincare and geometrization conjectures. He spent most of his career at Cornell, the University of California San Diego and Columbia University.

Facts
Birth Date
1943-01-10 1
Birth Year
1943 1
Death Date
2024-09-29 1
Death Year
2024 1
Birthplace
Cincinnati, Ohio, United States 1
Death Place
New York City, New York, USA 1
Nationality / Culture
American 1
Defining Contribution
Introduced the Ricci flow, a partial differential evolution equation for a metric that spreads curvature toward a constant equal distribution, and developed it as a program for proving the Poincare and geometrization conjectures. 1
Notable Work
Three-manifolds with positive Ricci curvature (Journal of Differential Geometry, 1982) 1
Award
Oswald Veblen Prize in Geometry (1996); Clay Research Award (2003); Shaw Prize in Mathematical Sciences (2011, shared) 1
Cross-Tradition Connections

Associated With

Poincare Conjecture, Theorems

Hamilton introduced the Ricci flow in 1982 and developed it over two decades into the program Perelman completed; Perelman himself said Hamilton's contribution was no less than his own.

In Branch

Introduced the Ricci flow, the defining tool of geometric analysis in differential geometry, and developed it into the program that proved the Poincare and geometrization conjectures.

Sources
1. MacTutor History of Mathematics Archive
University of St Andrews, School of Mathematics and Statisticshttps://mathshistory.st-andrews.ac.uk/Biographies/Hamilton_Richard/
Quote, https://mathshistory.st-andrews.ac.uk/Biographies/Hamilton_Richard/
Richard Hamilton was an American mathematician famed for his important contributions to proving the Poincare Conjecture.
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1. MacTutor History of Mathematics Archive
University of St Andrews, School of Mathematics and StatisticsQuick Info panel
Quote, Quick Info panel
Born 10 January 1943 Cincinnati, Ohio, USA Died 29 September 2024 New York City, New York, USA
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Clay Mathematics Institute
Clay Mathematics InstituteAssociated With: Poincare Conjecture, https://www.claymath.org/wp-content/uploads/2022/06/Poincare-press-release.pdfView the Source
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