Helmut Hofer

Helmut Hofer
Helmut Hofer lecturing at IAS in 2009
Born (1956-02-26)26 February 1956
Nationality Germany
United States
Alma mater Universität Zürich
Known for Symplectic capacities
Hofer geometry
Symplectic homology
Finite energy foliations
Symplectic field theory
Polyfold theory
Awards Ostrowski Prize (1999)
Heinz Hopf Prize (2013)
Scientific career
Fields Mathematics
Doctoral advisor Peter Hess

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. doi:10.1007/BF01388776. MR 0796195.
  • Hofer, Helmut; Zehnder, Eduard (1987). "Periodic solutions on hypersurfaces and a result by C. Viterbo". Inventiones Mathematicae. 90 (1): 1–9. doi:10.1007/BF01389030. MR 0906578.
  • Ekeland, Ivar; Hofer, Helmut (1989). "Symplectic topology and Hamiltonian dynamics". Mathematische Zeitschrift. 200 (3): 355–378. doi:10.1007/BF01215653. MR 0978597.
  • 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. doi:10.1017/S0308210500024549. MR 1059642.
  • Hofer, Helmut (1993). "Pseudoholomorphic curves in symplectizations with applications to the Weinstein conjecture in dimension three". Inventiones Mathematicae. 114 (3): 515–563. doi:10.1007/BF01232679. MR 1244912.
  • Hofer, Helmut; Zehnder, Eduard (2011). Symplectic invariants and Hamiltonian dynamics. Modern Birkhäuser Classics. Basel: Birkhäuser Verlag. doi:10.1007/978-3-0348-0104-1. ISBN 978-3-0348-0103-4. MR 2797558.
  • Hofer, Helmut; Wysocki, Krzysztof; Zehnder, Eduard (1998). "The dynamics on three-dimensional strictly convex energy surfaces". Annals of Mathematics. 148 (1): 197–289. doi:10.2307/120994. MR 1652928.
  • Hofer, Helmut; Wysocki, Krzysztof; Zehnder, Eduard (2003). "Finite energy foliations of tight three-spheres and Hamiltonian dynamics". Annals of Mathematics. 157 (1): 125–255. doi:10.4007/annals.2003.157.125. MR 1954266.

Notes

  1. 1 2 "IAS press release". IAS.
  2. ↑ "2 NYU faculty elected to National Academy of Sciences". NYU.
  3. ↑ "Beilinson and Hofer share Ostrowski Prize" (PDF). Notices Amer. Math. Soc. 47 (8): 885. 2000. MR 1776106.
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