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 fundamental contributions to the field have led to a new area of mathematics known as Hofer geometry.
Selected publications
- Ekeland, I.; Hofer, H.: Periodic solutions with prescribed minimal period for convex autonomous Hamiltonian systems. Invent. Math. 81 (1985), no. 1, 155–188.
- Hofer, H.; Zehnder, E. Periodic solutions on hypersurfaces and a result by C. Viterbo. Invent. Math. 90 (1987), no. 1, 1–9.
- Ekeland, I.; Hofer, H.: Symplectic topology and Hamiltonian dynamics. Math. Z. 200 (1989), no. 3, 355–378.
- Hofer, H.: On the topological properties of symplectic maps. Proc. Roy. Soc. Edinburgh Sect. A 115 (1990), no. 1-2, 25–38.
- Hofer, H.: Pseudoholomorphic curves in symplectizations with applications to the Weinstein conjecture in dimension three. Invent. Math. 114 (1993), no. 3, 515–563.
- Hofer, H.; Zehnder, E.: Symplectic invariants and Hamiltonian dynamics. Birkhäuser Advanced Texts: Basler Lehrbücher. [Birkhäuser Advanced Texts: Basel Textbooks] Birkhäuser Verlag, Basel, 1994.
- Hofer, H.; Wysocki, K.; Zehnder, E.: The dynamics on three-dimensional strictly convex energy surfaces. Ann. of Math. (2) 148 (1998), no. 1, 197–289.
- Hofer, H.; Wysocki, K.; Zehnder, E.: Finite energy foliations of tight three-spheres and Hamiltonian dynamics. Ann. of Math. (2) 157 (2003), no. 1, 125–255.
References
Notes
- ↑ 1.0 1.1 "IAS press release". IAS.
- ↑ "2 NYU faculty elected to National Academy of Sciences". NYU.
- ↑ "Beilinson and Hofer share Ostrowski Prize". Notices Amer. Math. Soc. 47 (8): 885. 2000. MR 1776106.