Helmut Hofer Explained

Helmut Hofer
Landscape:	yes
Birth Date:	28 February 1956
Nationality:	Germany United States
Fields:	Mathematics
Alma Mater:	Universität Zürich
Thesis Title:	A Variational Approach to a Class of Resonance Problems with Application to a Wave Equation Problem
Thesis Year:	1981
Doctoral Advisor:	Peter Hess
Known For:	Symplectic capacities Hofer geometry Symplectic homology Finite energy foliations Symplectic field theory Polyfold theory
Awards:	Ostrowski Prize (1999) Heinz Hopf Prize (2013)

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]

He is currently an editor of Annals of Mathematics.^[8]

Selected publications

• Ekeland . Ivar . Ivar Ekeland . Hofer . Helmut . Periodic solutions with prescribed minimal period for convex autonomous Hamiltonian systems . . 0796195 . 1985 . 81 . 1 . 155–188 . 10.1007/BF01388776. 1985InMat..81..155E . 120891372 .
• Hofer . Helmut . Zehnder . Eduard . Eduard Zehnder . Periodic solutions on hypersurfaces and a result by C. Viterbo . 1987 . . 0906578 . 90 . 1 . 1–9 . 10.1007/BF01389030. 1987InMat..90....1H . 121157240 .
• Ekeland . Ivar . Hofer . Helmut . Symplectic topology and Hamiltonian dynamics . . 978597 . 1989 . 200 . 3 . 355–378 . 10.1007/BF01215653. 123600347 .
• Hofer . Helmut . On the topological properties of symplectic maps . Proceedings of the Royal Society of Edinburgh, Section A . 1059642 . 1990 . 115 . 1–2 . 25–38 . 10.1017/S0308210500024549. 121426158 .
• Hofer . Helmut . Pseudoholomorphic curves in symplectizations with applications to the Weinstein conjecture in dimension three . . 1244912 . 1993 . 114 . 3 . 515–563 . 10.1007/BF01232679. 1993InMat.114..515H . 123618375 .
• Book: Hofer . Helmut . Zehnder . Eduard . 2797558 . Symplectic invariants and Hamiltonian dynamics . 978-3-0348-0103-4 . 10.1007/978-3-0348-0104-1 . 2011 . Modern Birkhäuser Classics . . Basel.
• Hofer . Helmut . Wysocki . Krzysztof . Zehnder . Eduard . The dynamics on three-dimensional strictly convex energy surfaces . 1998 . . 1652928 . 148 . 1 . 197–289 . 10.2307/120994. 120994 .
• Hofer . Helmut . Wysocki . Krzysztof . Zehnder . Eduard . Finite energy foliations of tight three-spheres and Hamiltonian dynamics . 2003 . . 1954266 . 157 . 1 . 125–255 . 10.4007/annals.2003.157.125. free .

External links

• • Oberwolfach photos of Helmut Hofer

Notes and References

1. Web site: Curriculum Vitae Prof. Dr. Helmut Hofer. Leopoldina Nationale Akademie der Wissenschaften.
2. Web site: IAS press release. IAS. February 29, 2012. August 5, 2016. https://web.archive.org/web/20160805140618/https://www.ias.edu/news/press-releases/1216821088. dead.
3. Web site: NYU. 2 NYU faculty elected to National Academy of Sciences.
4. 1776106. Beilinson and Hofer share Ostrowski Prize. Notices Amer. Math. Soc.. 47. 2000. 8. 885.
5. Web site: New Members. American Academy of Arts & Sciences. en. April 23, 2020.
6. Book: Hofer, Helmut. Symplectic invariants. Proceedings of the International Congress of Mathematicians (1990, Kyoto). 1. 521–528. 1991.
7. Book: Hofer, Helmut H. W.. Dynamics, topology, and holomorphic curves. Doc. Math. (Bielefeld) Extra Vol. ICM Berlin, 1998, vol. I. 1998. 255–280. https://www.elibm.org/ft/10011724000.
8. Web site: Editorial Board Annals of Mathematics . 2024-03-25 . en-US.