Hansjörg violins

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Hansjörg Geiges (left), Oberwolfach 2012

Hansjörg Geiges (born June 6, 1966 in Basel ) is a German-Swiss mathematician who deals with contact geometry , symplectic geometry and topology.

Life

Hansjörg Geiges was born as the son of the photographer Leif Geiges . He won the national mathematics competition in 1985 and studied mathematics with a scholarship from the German National Academic Foundation in Göttingen (preliminary diploma 1987), Cambridge (Peterhouse College 1987/88, BA 1988), the University of Zurich (1988/89) and Bonn (after receiving initially studied physics in the basic course). He returned to Cambridge in 1989, where he received his doctorate from Charles B. Thomas in 1992 (On the Existence of Symplectic and Contact Structures on Closed Manifolds), where he won first prize in the Smith / Rayleigh / Knight Prize in 1991. As a post-doctoral student he was Szegő Assistant Professor at Stanford University from 1992 to 1994 , one year at Queens' College at Cambridge University and from 1995 assistant professor at ETH Zurich. In 1998 he became a professor at the University of Leiden and since 2002 he has been a professor at the University of Cologne .

He is co-editor of the annual reports of the German Mathematicians Association , the Archives for Mathematics and the mathematical semester reports .

He has German and Swiss citizenship .

Fonts (selection)

  • with Jesús Gonzalo: Contact geometry and complex surfaces. In: Inventiones Mathematicae . Volume 121, 1995, pp. 147-209, doi: 10.1007 / BF01884294 .
  • Contact Topology in Dimension Greater than Three. In: Progress in Mathematics. Volume 202, 2001, pp. 535-545, doi: 10.1007 / 978-3-0348-8266-8 46 ( PDF ).
  • h-Principles and Flexibility in Geometry (= Memoirs of the American Mathematical Society. Vol. 779). American Mathematical Society, Providence 2003.
  • with Fan Ding: A Legendrian surgery presentation of contact 3-manifolds. In: Mathematical Proceedings of the Cambridge Philosophical Society. Vol. 136 (2004), H. 3, pp. 583-598, doi: 10.1017 / S0305004103007412 .
  • with Fan Ding, András I. Stipsicz: Surgery diagrams for contact 3-manifolds. In: Turkish Journal of Mathematics. Vol. 28 (2004), H. 1, pp. 41-74 ( online ).
  • Christiaan Huygens and contact geometry. In: Nieuw Archif voor Wiskunde. Volume 6, 2005, pp. 117–123 (and in EMS Newsletter , September 2007), arxiv : math / 0501255 .
  • Contact Geometry. In: Franki JE Dillen, Leopold CA Verstraelen (Ed.): Handbook of Differential Geometry. Volume 2, Elsevier, Amsterdam 2006, pp. 315-382, arxiv : math / 0307242 .
  • An introduction to contact topology. Cambridge University Press, Cambridge 2008. ISBN 978-0-521-86585-2
  • with Nena Röttgen, Kai Zehmisch: Trapped Reeb orbits do not imply periodic ones. In: Inventiones Mathematicae . January 2014, doi: 10.1007 / s00222-014-0500-9 .

Web links

Individual evidence

  1. ↑ Hansjörg Geiges in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
personal data
SURNAME Violin, Hansjörg
BRIEF DESCRIPTION German-Swiss mathematician
DATE OF BIRTH June 6, 1966
PLACE OF BIRTH Basel