Nisha Rathode (Editor)

Helmut Hofer

Updated on
Edit
Like
Comment
Share on FacebookTweet on TwitterShare on LinkedInShare on Reddit
Role
  
Mathematician

Alma mater
  
Universitat Zurich

Education
  
University of Zurich


Doctoral advisor
  
Peter Hess

Fields
  
Mathematics

Name
  
Helmut Hofer

Awards
  
Ostrowski Prize

Helmut Hofer httpswwwmathiasedufileshoferHoferJPG

Born
  
26 February 1956 (
1956-02-26
)

Known for
  
Symplectic capacitiesHofer geometrySymplectic homologyFinite energy foliationsSymplectic field theoryPolyfold theory

Books
  
Symplectic Invariants and Hamiltonian Dynamics

Notable awards
  
Ostrowski Prize, Heinz Hopf Prize

Nationality
  
GermanyUnited States

Celestial Mechanics and a Geometry Based on Area - Helmut Hofer


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. He is a member of the National Academy of Sciences, and the recipient of the 1999 Ostrowski Prize and the 2013 Heinz Hopf Prize [1]. Since 2009, he is a faculty member at the Institute for Advanced Study in Princeton. He currently works on symplectic geometry, dynamical systems, and partial differential equations. His contributions to the field include Hofer geometry.

Contents

Helmut Hofer Mathematician Helmut Hofer Joins the Faculty of the Institute for

Helmut hofer discussion


Selected publications

  • Ekeland, Ivar; Hofer, Helmut (1985). "Periodic solutions with prescribed minimal period for convex autonomous Hamiltonian systems". Inventiones Mathematicae. 81 (1): 155–188. MR 0796195. doi:10.1007/BF01388776. 
  • Hofer, Helmut; Zehnder, Eduard (1987). "Periodic solutions on hypersurfaces and a result by C. Viterbo". Inventiones Mathematicae. 90 (1): 1–9. MR 0906578. doi:10.1007/BF01389030. 
  • Ekeland, Ivar; Hofer, Helmut (1989). "Symplectic topology and Hamiltonian dynamics". Mathematische Zeitschrift. 200 (3): 355–378. MR 978597. doi:10.1007/BF01215653. 
  • 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. MR 1059642. 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. MR 1244912. doi:10.1007/BF01232679. 
  • Hofer, Helmut; Zehnder, Eduard (2011). Symplectic invariants and Hamiltonian dynamics. Modern Birkhäuser Classics. Basel: Birkhäuser Verlag. ISBN 978-3-0348-0103-4. MR 2797558. doi:10.1007/978-3-0348-0104-1. 
  • Hofer, Helmut; Wysocki, Krzysztof; Zehnder, Eduard (1998). "The dynamics on three-dimensional strictly convex energy surfaces". Annals of Mathematics. 148 (1): 197–289. MR 1652928. 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. MR 1954266. doi:10.4007/annals.2003.157.125. 

    • References

    Helmut Hofer Wikipedia
    (Text) CC BY-SA


    Similar Topics