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
BirthplaceCincinnati, Ohio, United States 1 Death PlaceNew York City, New York, USA 1 Nationality / Culture Defining ContributionIntroduced 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 WorkThree-manifolds with positive Ricci curvature (Journal of Differential Geometry, 1982) 1 AwardOswald Veblen Prize in Geometry (1996); Clay Research Award (2003); Shaw Prize in Mathematical Sciences (2011, shared) 1 Connections
Associated With
Perelman completed the proof of the Poincare conjecture by advancing Hamiltons Ricci flow program, resolving the singularities Hamiltons own approach could not overcome.
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.
Source Clay Mathematics Institute
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.
Source MacTutor History of Mathematics Archive
In the Other Atlases
Nationality
Also in Geography Atlas: the nationality of this subject.
Sources
1. MacTutor History of Mathematics Archive
University of St Andrews, School of Mathematics and Statisticshttps://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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Born 10 January 1943 Cincinnati, Ohio, USA Died 29 September 2024 New York City, New York, USA
View the Source Clay Mathematics Institute
Clay Mathematics InstituteAssociated With: Poincare Conjecture, https://www.claymath.org/wp-content/uploads/2022/06/Poincare-press-release.pdfView the Source Reader Challenges (0)
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