This got a lot of attention, and he was invited to visit the Mathematical Sciences Research Institute, Berkeley, California the first year it opened, along with S.T. By the mid-seventies, Richard began his work on the Ricci flow and published the first result in 1982 on the case of three-dimensional manifolds with positive Ricci curvature. ![]() This was the first example of using a nonlinear parabolic flow to solve an elliptic equation in geometry, and was Hamilton's inspiration for creating the Ricci flow. Richard Hamilton's first academic position was at Cornell, where for several years worked with Jim Eells Junior, who had just finished his groundbreaking paper with Joe Sampson on the harmonic map flow. He is looking at future possible developments in the Ricci flow, including possible applications to four-dimensional topology, Kaehler geometry, and stationary solutions in Relativity.Īs an educator, Hamilton taught at the University of California, Irvine, University of California, San Diego, Cornell University, and Columbia University. Later, Hamilton moved back to the East coast, to Columbia University, where he works now Davies Professor. With all these excellent mathematicians around working on similar problems in geometric analysis, it was the ideal environment to develop the Ricci flow further. ![]() The next year Yau, Rick and I all moved to the University of San Diego, California and Gerhard Huisken came to visit also. This was the first example of using a nonlinear parabolic flow to solve an elliptic equation in geometry, and was Hamilton's inspiration for creating the Ricci flow.īy the mid-seventies, Richard began his work on the Ricci flow and published the first result in 1982 on the case of three-dimensional manifolds with positive Ricci curvature. Cincinnati, Hamilton County, United States of America
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