Dennis DeTurck
Dennis M. DeTurck (born July 15, 1954 in Philadelphia ) is an American mathematician who deals with partial differential equations and differential geometry .
DeTurck studied at Drexel University with a bachelor's degree in 1976 and at the University of Pennsylvania with a master's degree in 1978 and his doctorate in 1980 with Jerry Kazdan ( Existence of metrics with prescribed Ricci-Tensors: local theory ). In 1985 he became a research fellow of the Alfred P. Sloan Foundation ( Sloan Research Fellow ). He was later a professor at the University of Pennsylvania, where he was dean of the College of Arts and Sciences from 2004 .
He dealt with the problem of the existence of metrics on Riemannian manifolds with prescribed Ricci curvature (topic of his dissertation) and Ricci flows .
In 2002 he received the Haimo Award from the Mathematical Association of America for his teaching . In 2012 he became a Fellow of the American Mathematical Society and received the Chauvenet Prize (with Herman Gluck, Daniel Pomerleano, David Shea Vela-Vick for The Four Vertex Theorem and Its Converse over the four-vertex theorem ).
He was a member of the Arthur Besse collective .
Nets Katz is one of his PhD students .
Fonts
- Existence of metrics with prescribed Ricci curvature: local theory , Inventiones Mathematicae, Volume 65, 1981/82, pp. 179-207
- Deforming metrics in the direction of their Ricci tensors , J. Differential Geom. 18, 1983, pp. 157–162 ( DeTurck trick for the existence of Ricci rivers)
Web links
Individual evidence
- ^ Mathematics Genealogy Project
- ^ Notices of the American Mathematical Society. Volume 54, 2007, No. 2, pp. 192-207
| personal data | |
|---|---|
| SURNAME | DeTurck, Dennis |
| ALTERNATIVE NAMES | DeTurck, Dennis M. |
| BRIEF DESCRIPTION | American mathematician |
| DATE OF BIRTH | July 15, 1954 |
| PLACE OF BIRTH | Philadelphia |