Tom Ilmanen: Difference between revisions
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{{Short description|American mathematician}} |
{{Short description|American mathematician}} |
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| name = Tom Ilmanen |
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| birth_date = 1961 |
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| nationality = American |
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| occupation = Mathematician |
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| known_for = Research in differential geometry, proof of [[Riemannian Penrose inequality|Riemannian Penrose conjecture]] |
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| education = Ph.D. in Mathematics |
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| alma_mater = [[University of California, Berkeley]] |
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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]].<ref>[https://math.ethz.ch/research/geometric-analysis-pde/tom-ilmanen.html Ilmanen's page at ETH Zurich]</ref> He obtained his PhD in 1991 at the [[University of California, Berkeley]] with [[Lawrence Craig Evans]] as supervisor.<ref>{{MathGenealogy|id=31671}}</ref> Ilmanen and [[Gerhard Huisken]] used inverse mean curvature flow to prove the [[Riemannian Penrose inequality|Riemannian Penrose conjecture]], which is the fifteenth problem in [[Shing-Tung Yau|Yau]]'s list of open problems,<ref>Differential Geometry: Partial Differential Equations on Manifolds. (1993). In R. Greene & S.-T. Yau (Eds.), Proceedings of Symposia in Pure Mathematics. American Mathematical Society. https://doi.org/10.1090/pspum/054.1 https://doi.org/10.1090/pspum/054.1</ref> and was resolved at the same time in greater generality by [[Hubert Bray]] using alternative methods.<ref>Mars, M. (2009). "[https://doi.org/10.1088/0264-9381/26/19/193001 Present status of the Penrose inequality]". ''[[Classical and Quantum Gravity]]'' (Vol. 26, Issue 19, p. 193). IOP Publishing.</ref> |
'''Tom Ilmanen''' (born 1961) is an American [[mathematician]] specializing in [[differential geometry]] and the [[calculus of variations]]. He is a professor at [[ETH Zurich]].<ref>[https://math.ethz.ch/research/geometric-analysis-pde/tom-ilmanen.html Ilmanen's page at ETH Zurich]</ref> He obtained his PhD in 1991 at the [[University of California, Berkeley]] with [[Lawrence Craig Evans]] as supervisor.<ref>{{MathGenealogy|id=31671}}</ref> Ilmanen and [[Gerhard Huisken]] used inverse mean curvature flow to prove the [[Riemannian Penrose inequality|Riemannian Penrose conjecture]], which is the fifteenth problem in [[Shing-Tung Yau|Yau]]'s list of open problems,<ref>Differential Geometry: Partial Differential Equations on Manifolds. (1993). In R. Greene & S.-T. Yau (Eds.), Proceedings of Symposia in Pure Mathematics. American Mathematical Society. https://doi.org/10.1090/pspum/054.1 https://doi.org/10.1090/pspum/054.1</ref> and was resolved at the same time in greater generality by [[Hubert Bray]] using alternative methods.<ref>Mars, M. (2009). "[https://doi.org/10.1088/0264-9381/26/19/193001 Present status of the Penrose inequality]". ''[[Classical and Quantum Gravity]]'' (Vol. 26, Issue 19, p. 193). IOP Publishing.</ref> |
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Revision as of 18:24, 15 March 2024
Tom Ilmanen | |
|---|---|
| Born | 1961 |
| Nationality | American |
| Education | Ph.D. in Mathematics |
| Alma mater | University of California, Berkeley |
| Occupation | Mathematician |
| Known for | Research in differential geometry, proof of Riemannian Penrose conjecture |
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 is the fifteenth problem in Yau's list of open problems,[3] and was resolved at the same time in greater generality by Hubert Bray using alternative methods.[4]
He received a Sloan Fellowship in 1996.[5]
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
- ^ Differential Geometry: Partial Differential Equations on Manifolds. (1993). In R. Greene & S.-T. Yau (Eds.), Proceedings of Symposia in Pure Mathematics. American Mathematical Society. https://doi.org/10.1090/pspum/054.1 https://doi.org/10.1090/pspum/054.1
- ^ Mars, M. (2009). "Present status of the Penrose inequality". Classical and Quantum Gravity (Vol. 26, Issue 19, p. 193). IOP Publishing.
- ^ Alfred P. Sloan Foundation - Fellows Database