Tom Ilmanen
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Tom Ilmanen (born 1961) is an American mathematician specializing in differential geometry and the calculus of variations. He is a professor at ETH Zurich.[1] He obtained his PhD in 1991 at the University of California, Berkeley with Lawrence Craig Evans as supervisor.[2] Ilmanen and Gerhard Huisken used inverse mean curvature flow to prove the Riemannian Penrose conjecture, which was resolved at the same time in greater generality by Hubert Bray using alternative methods.[3]
He received a Sloan Fellowship in 1996.[4]
He wrote the research monograph Elliptic Regularization and Partial Regularity for Motion by Mean Curvature.
Selected publications
- Huisken, Gerhard, and Tom Ilmanen. "The inverse mean curvature flow and the Riemannian Penrose inequality." Journal of Differential Geometry 59.3 (2001): 353-437. DOI: 10.4310/jdg/1090349447
- Ilmanen, Tom. "Convergence of the Allen-Cahn equation to Brakke's motion by mean curvature." Journal of Differential Geometry 38.2 (1993): 417-461.
- Feldman, Mikhail, Tom Ilmanen, and Dan Knopf. "Rotationally symmetric shrinking and expanding gradient Kähler-Ricci solitons." Journal of Differential Geometry 65.2 (2003): 169-209.
Further reading
- Nadis, Steve (30 November 2023), "A Century Later, New Math Smooths Out General Relativity", Quanta Magazine
References
- ^ Ilmanen's page at ETH Zurich
- ^ Tom Ilmanen at the Mathematics Genealogy Project
- ^ Mars, M. (2009). "Present status of the Penrose inequality". Classical and Quantum Gravity (Vol. 26, Issue 19, p. 193001). IOP Publishing.
- ^ Alfred P. Sloan Foundation - Fellows Database