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. 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 978597.
• 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.

References

• Helmut Hofer at the Mathematics Genealogy Project

Notes

1. "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.

External links

• Oberwolfach photos of Helmut Hofer