Helmut Hofer
Helmut Hofer | |
---|---|
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 |
Thesis | A Variational Approach to a Class of Resonance Problems with Application to a Wave Equation Problem (1981) |
Doctoral advisor | Peter Hess |
Helmut Hermann W. Hofer (born February 28, 1956)symplectic topology.[2]
He is a member of the National Academy of Sciences,[3] and the recipient of the 1999 Ostrowski Prize[4] and the 2013
partial differential equations. His contributions to the field include Hofer geometry. Hofer was elected to the American Academy of Arts and Sciences in 2020.[5]
He was an invited speaker at the International Congress of Mathematicians (ICM) in 1990 in Kyoto[6] and a plenary speaker at the ICM in 1998 in Berlin.[7]
He is currently an editor of Annals of Mathematics.[8]
Selected publications
- S2CID 120891372.
- Hofer, Helmut; S2CID 121157240.
- Ekeland, Ivar; Hofer, Helmut (1989). "Symplectic topology and Hamiltonian dynamics". S2CID 123600347.
- Hofer, Helmut (1990). "On the topological properties of symplectic maps". Proceedings of the Royal Society of Edinburgh, Section A. 115 (1–2): 25–38. S2CID 121426158.
- Hofer, Helmut (1993). "Pseudoholomorphic curves in symplectizations with applications to the Weinstein conjecture in dimension three". S2CID 123618375.
- Hofer, Helmut; Zehnder, Eduard (2011). Symplectic invariants and Hamiltonian dynamics. Modern Birkhäuser Classics. Basel: MR 2797558.
- Hofer, Helmut; Wysocki, Krzysztof; Zehnder, Eduard (1998). "The dynamics on three-dimensional strictly convex energy surfaces". MR 1652928.
- Hofer, Helmut; Wysocki, Krzysztof; Zehnder, Eduard (2003). "Finite energy foliations of tight three-spheres and Hamiltonian dynamics". MR 1954266.
Notes
- ^ "Curriculum Vitae Prof. Dr. Helmut Hofer" (PDF). Leopoldina Nationale Akademie der Wissenschaften.
- ^ a b "IAS press release". IAS.
- ^ "2 NYU faculty elected to National Academy of Sciences". NYU.
- MR 1776106.
- ^ "New Members". American Academy of Arts & Sciences. Retrieved April 23, 2020.
- ^ Hofer, Helmut (1991). "Symplectic invariants". Proceedings of the International Congress of Mathematicians (1990, Kyoto). Vol. 1. pp. 521–528.
- ^ Hofer, Helmut H. W. (1998). "Dynamics, topology, and holomorphic curves". Doc. Math. (Bielefeld) Extra Vol. ICM Berlin, 1998, vol. I. pp. 255–280.
- ^ "Editorial Board | Annals of Mathematics". Retrieved March 25, 2024.