Biography:Helmut Hofer
From HandWiki
Short description: German-American mathematician
Helmut Hofer | |
|---|---|
 Hofer lecturing at IAS in 2009 | |
| Born | February 28, 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 |
| 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)[1] is a German-American mathematician, one of the founders of the area of 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 Heinz Hopf Prize. Since 2009, he is a faculty member at the Institute for Advanced Study in Princeton, New Jersey.[2] He currently works on symplectic geometry, dynamical systems, and 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]
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. Bibcode: 1985InMat..81..155E.
- 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. Bibcode: 1987InMat..90....1H.
- Ekeland, Ivar; Hofer, Helmut (1989). "Symplectic topology and Hamiltonian dynamics". Mathematische Zeitschrift 200 (3): 355–378. doi:10.1007/BF01215653. http://www.numdam.org/item/SEDP_1987-1988____A23_0/.
- Hofer, Helmut (1990). "On the topological properties of symplectic maps". Proceedings of the Royal Society of Edinburgh, Section A 115 (1–2): 25–38. 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. doi:10.1007/BF01232679. Bibcode: 1993InMat.114..515H.
- 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.
- 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.
- 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.
Notes
- ↑ "Curriculum Vitae Prof. Dr. Helmut Hofer". https://www.leopoldina.org/fileadmin/redaktion/Mitglieder/CV_Hofer_Helmut_D.pdf.
- ↑ 2.0 2.1 "IAS press release". IAS. http://www.ias.edu/news/press-releases/1216821088.
- ↑ "2 NYU faculty elected to National Academy of Sciences". NYU. http://www.eurekalert.org/pub_releases/2008-04/nyu-tnf042908.php.
- ↑ "Beilinson and Hofer share Ostrowski Prize". Notices Amer. Math. Soc. 47 (8): 885. 2000. https://www.ams.org/notices/200008/comm-ostrowski.pdf.
- ↑ "New Members" (in en). https://www.amacad.org/new-members-2020.
- ↑ Hofer, Helmut (1991). "Symplectic invariants". Proceedings of the International Congress of Mathematicians (1990, Kyoto). 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. https://www.elibm.org/ft/10011724000.
External links
 |  |
