Helmut Hofer
| Helmut Hofer | |
|---|---|
 Helmut Hofer lecturing at IAS in 2009 | |
| Born | 26 February 1956 |
| Nationality |
Germany United States |
| Fields | Mathematics |
| Alma mater | Universität Zürich |
| Doctoral advisor | Peter Hess |
| Known for |
Symplectic capacities Hofer geometry Symplectic homology Finite energy foliations Symplectic field theory Polyfold theory |
| Notable awards |
Ostrowski Prize (1999) Heinz Hopf Prize (2013) |
Helmut Hermann W. Hofer (born February 18 or February 28, 1956) is a German-American mathematician, one of the founders of the area of symplectic topology.[1] He is a member of the National Academy of Sciences,[2] and the recipient of the 1999 Ostrowski Prize[3] and the 2013 Heinz Hopf Prize . Since 2009, he is a faculty member at the Institute for Advanced Study in Princeton.[1] He currently works on symplectic geometry, dynamical systems, and partial differential equations. His contributions to the field include Hofer geometry.
Selected publications
- Ekeland, Ivar; Hofer, Helmut (1985). "Periodic solutions with prescribed minimal period for convex autonomous Hamiltonian systems". Inventiones Mathematicae. 81 (1): 155–188. MR 0796195. doi:10.1007/BF01388776.
- Hofer, Helmut; Zehnder, Eduard (1987). "Periodic solutions on hypersurfaces and a result by C. Viterbo". Inventiones Mathematicae. 90 (1): 1–9. MR 0906578. doi:10.1007/BF01389030.
- Ekeland, Ivar; Hofer, Helmut (1989). "Symplectic topology and Hamiltonian dynamics". Mathematische Zeitschrift. 200 (3): 355–378. MR 978597. doi:10.1007/BF01215653.
- Hofer, Helmut (1990). "On the topological properties of symplectic maps". Proceedings of the Royal Society of Edinburgh. Section A. Mathematics. 115 (1-2): 25–38. MR 1059642. doi:10.1017/S0308210500024549.
- Hofer, Helmut (1993). "Pseudoholomorphic curves in symplectizations with applications to the Weinstein conjecture in dimension three". Inventiones Mathematicae. 114 (3): 515–563. MR 1244912. doi:10.1007/BF01232679.
- Hofer, Helmut; Zehnder, Eduard (2011). Symplectic invariants and Hamiltonian dynamics. Modern Birkhäuser Classics. Basel: Birkhäuser Verlag. ISBN 978-3-0348-0103-4. MR 2797558. doi:10.1007/978-3-0348-0104-1.
- Hofer, Helmut; Wysocki, Krzysztof; Zehnder, Eduard (1998). "The dynamics on three-dimensional strictly convex energy surfaces". Annals of Mathematics. 148 (1): 197–289. MR 1652928. doi:10.2307/120994.
- Hofer, Helmut; Wysocki, Krzysztof; Zehnder, Eduard (2003). "Finite energy foliations of tight three-spheres and Hamiltonian dynamics". Annals of Mathematics. 157 (1): 125–255. MR 1954266. doi:10.4007/annals.2003.157.125.
Notes
- 1 2 "IAS press release". IAS.
- ↑ "2 NYU faculty elected to National Academy of Sciences". NYU.
- ↑ "Beilinson and Hofer share Ostrowski Prize" (PDF). Notices Amer. Math. Soc. 47 (8): 885. 2000. MR 1776106.
External links
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