Dennis DeTurck
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Dennis DeTurck is a mathematician known for his work in partial differential equations and Riemannian geometry, in particular contributions to the theory of the Ricci flow. The DeTurck trick was first used by him to give an alternative proof of the short time existence of the Ricci flow and has found other uses since then.
He received an M.A. (1978) and Ph.D. (1980) in mathematics from the University of Pennsylvania. His Ph.D. supervisor was Jerry Kazdan.
He is currently Evan C Thompson Professor for Excellence in Teaching at the University of Pennsylvania, where he is also the Dean of the College of Arts and Sciences. In 2001 DeTurck won the Haimo Award from the Mathematical Association of America for his teaching.[1]
[edit] Selected publications
- Dennis M. DeTurck, Existence of metrics with prescribed Ricci curvature: local theory. Invent. Math. 65 (1981/82), no. 1, 179–207.
- Dennis M. DeTurck, Deforming metrics in the direction of their Ricci tensors. J. Differential Geom. 18 (1983), no. 1, 157–162. (explains the DeTurck trick)