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| caption = Helmut Hofer lecturing at IAS in 2009
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| birth_date = {{birth date|1956|02|26|df=y}}
| birth_date = {{birth date|1956|02|28|df=y}}
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| awards = [[Ostrowski Prize]] (1999) <br /> [[Heinz Hopf Prize]] (2013)
| awards = [[Ostrowski Prize]] (1999) <br /> [[Heinz Hopf Prize]] (2013)
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'''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]].<ref name=ias>{{cite web|url=http://www.ias.edu/news/press-releases/1216821088|title=IAS press release|publisher=IAS}}</ref> He is a member of the [[National Academy of Sciences]],<ref>{{cite web|publisher=NYU|title=2 NYU faculty elected to National Academy of Sciences|url=http://www.eurekalert.org/pub_releases/2008-04/nyu-tnf042908.php}}</ref> and the recipient of the 1999 [[Ostrowski Prize]]<ref>{{cite journal|mr=1776106|title=Beilinson and Hofer share Ostrowski Prize|journal=Notices Amer. Math. Soc.|volume=47|year=2000|issue=8|page=885|url=http://www.ams.org/notices/200008/comm-ostrowski.pdf}}</ref>
'''Helmut Hermann W. Hofer''' (born February 28, 1956)<ref>{{cite web|title=Curriculum Vitae Prof. Dr. Helmut Hofer|website=Leopoldina Nationale Akademie der Wissenschaften|url=https://www.leopoldina.org/fileadmin/redaktion/Mitglieder/CV_Hofer_Helmut_D.pdf}}</ref> is a German-American mathematician, one of the founders of the area of [[symplectic topology]].<ref name=ias>{{cite web|url=http://www.ias.edu/news/press-releases/1216821088|title=IAS press release|publisher=IAS}}</ref>
He is a member of the [[National Academy of Sciences]],<ref>{{cite web|publisher=NYU|title=2 NYU faculty elected to National Academy of Sciences|url=http://www.eurekalert.org/pub_releases/2008-04/nyu-tnf042908.php}}</ref> and the recipient of the 1999 [[Ostrowski Prize]]<ref>{{cite journal|mr=1776106|title=Beilinson and Hofer share Ostrowski Prize|journal=Notices Amer. Math. Soc.|volume=47|year=2000|issue=8|page=885|url=http://www.ams.org/notices/200008/comm-ostrowski.pdf}}</ref>
and the 2013 Heinz Hopf Prize [http://www.ias.edu/news/news-briefs/helmut-hofer-awarded-heinz-hopf-prize]. Since 2009, he is a faculty member at the [[Institute for Advanced Study]] in Princeton.<ref name=ias/> He currently works on [[symplectic geometry]], [[dynamical systems]], and [[partial differential equations]]. His contributions to the field include Hofer geometry.
and the 2013 Heinz Hopf Prize [http://www.ias.edu/news/news-briefs/helmut-hofer-awarded-heinz-hopf-prize]. Since 2009, he is a faculty member at the [[Institute for Advanced Study]] in Princeton.<ref name=ias/> He currently works on [[symplectic geometry]], [[dynamical systems]], and [[partial differential equations]]. His contributions to the field include Hofer geometry.

He was an invited speaker at the [[International Congress of Mathematicians]] (ICM) in 1990 in Kyoto<ref>{{cite book|author=Hofer, Helmut|chapter=Symplectic invariants|title=Proceedings of the International Congress of Mathematicians (1990, Kyoto)|volume=vol. 1|pages=521-528|year=1991}}</ref> and a plenary speaker at the ICM in 1998 in Berlin.<ref>{{cite book|author=Hofer, Helmut H. W.|chapter=Dynamics, topology, and holomorphic curves|title=Doc. Math. (Bielefeld) Extra Vol. ICM Berlin, 1998, vol. I|year=1998|pages=255–280|chapter-url=https://www.elibm.org/ft/10011724000}}</ref>


==Selected publications==
==Selected publications==

Revision as of 20:49, 5 November 2019

This article is about the mathematician. For the zoologist, see Helmut Otto Hofer.
Helmut Hofer
Helmut Hofer lecturing at IAS in 2009
Born(1956-02-28)28 February 1956
NationalityGermany
United States
Alma materUniversität Zürich
Known forSymplectic capacities
Hofer geometry
Symplectic homology
Finite energy foliations
Symplectic field theory
Polyfold theory
AwardsOstrowski Prize (1999)
Heinz Hopf Prize (2013)
Scientific career
FieldsMathematics
Doctoral advisorPeter Hess
Doctoral studentsUmberto Hryniewicz

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 [1]. Since 2009, he is a faculty member at the Institute for Advanced Study in Princeton.[2] He currently works on symplectic geometry, dynamical systems, and partial differential equations. His contributions to the field include Hofer geometry.

He was an invited speaker at the International Congress of Mathematicians (ICM) in 1990 in Kyoto[5] and a plenary speaker at the ICM in 1998 in Berlin.[6]

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. 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. JSTOR 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. ^ "Curriculum Vitae Prof. Dr. Helmut Hofer" (PDF). Leopoldina Nationale Akademie der Wissenschaften.
  2. ^ a b "IAS press release". IAS.
  3. ^ "2 NYU faculty elected to National Academy of Sciences". NYU.
  4. ^ "Beilinson and Hofer share Ostrowski Prize" (PDF). Notices Amer. Math. Soc. 47 (8): 885. 2000. MR 1776106.
  5. ^ Hofer, Helmut (1991). "Symplectic invariants". Proceedings of the International Congress of Mathematicians (1990, Kyoto). Vol. vol. 1. pp. 521–528. {{cite book}}: |volume= has extra text (help)
  6. ^ Hofer, Helmut H. W. (1998). "Dynamics, topology, and holomorphic curves". Doc. Math. (Bielefeld) Extra Vol. ICM Berlin, 1998, vol. I. pp. 255–280.
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