Nationality American Doctoral advisor Robert Gunning Name Richard Hamilton Fields Mathematics | Institutions Columbia University Known for Ricci flow Role Professor of mathematics | |

Alma mater Walnut Hills High School
Yale University
Princeton University Doctoral students Steven Altschuler Martin Lo Lang-Fang Wu Books Treasure Map: A Guide to the Delian Inventories Education Yale University, Princeton University Awards The Shaw Prize in Mathematical Sciences Notable awards The Shaw Prize, Leroy P. Steele Prize, Clay Research Award, Oswald Veblen Prize in Geometry Similar People Demetrios Christodoulou, Mabel Lang, George II of Great Britain, John Archibald Wheeler |

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

## Contents

## 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 starting a 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, in part citing Hamilton's work as being foundational.

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 his proof 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

*Journal of Differential Geometry*,

**17**(2): 255–306, ISSN 0022-040X, MR 664497

*Journal of Differential Geometry*,

**24**(2): 153–179, MR 862046

*Journal of Differential Geometry*,

**37**(1): 225–243, MR 1198607

*American Journal of Mathematics*,

**117**(3): 545–572, doi:10.2307/2375080, JSTOR 2375080, MR 1333936

*Surveys in Differential Geometry*,

**2**: 7–136, MR 1375255

*Communications in Analysis and Geometry*,

**5**(1): 1–92, MR 1456308

*Communications in Analysis and Geometry*,

**7**(4): 695–729, MR 1714939