Dietmar Arno Salamon

from Wikipedia, the free encyclopedia
Salamon (2nd from right) in Zurich 2007

Dietmar Arno Salamon (born March 7, 1953 in Bremen ) is a German mathematician . He has been Professor of Mathematics at ETH Zurich since 1998 .

Life

Salamon graduated from the University of Hannover mathematics . In 1982 he received his doctorate on control theory at the University of Bremen . He then spent two years as a postdoctoral fellow at the Mathematical Research Center in Madison , Wisconsin and one year at the Research Institute for Mathematics at ETH Zurich. In 1986 he became a lecturer at the University of Warwick , where he was elected full professor in 1994. He spent the summer semester of 1988 as a visiting professor at the University of Bremen and the winter semester of 1991 at the University of Wisconsin – Madison .

Since 1998 he has been a full professor of mathematics at the ETH Zurich.

Salamon's research area is symplectic topology and related areas such as symplectic geometry . Symplectic topology is a relatively new area of ​​mathematics that became an important branch of mathematics in the 1990s. Some important new techniques are Gromov's pseudoholomorphic curves , the Floer homology, and the Seiberg-Witten invariants (after Nathan Seiberg and Edward Witten ) of four-dimensional manifolds .

In 1994 he was invited speaker at the International Congress of Mathematicians (ICM) in Zurich (Lagrangian intersections, 3-manifolds with boundary and the Atiyah-Floer conjecture). He is a fellow of the American Mathematical Society . For 2017 he received the AMS Leroy P. Steele Prize for Mathematical Exposition for his book with Dusa McDuff J-holomorphic curves and symplectic topology . He has been a member of the Academia Europaea since 2011 .

literature

  • Dietmar Salamon: Function Theory . Birkhauser, 2011.
  • Dusa McDuff , Dietmar Salamon: J-holomorphic curves and symplectic topology. American Mathematical Society, 2004, 2nd edition 2012.
  • Dusa McDuff, Dietmar Salamon: Introduction to symplectic topology. Oxford University Press, 1998.
  • Dietmar Salamon: Symplectic Geometry. Cambridge University Press, 1994 (London Mathematical Society Lecture Notes), ISBN 0-521-44699-6 .
  • Helmut Hofer , Dietmar Salamon: Floer homology and Novikov rings. The Floer memorial volume, 483-524, Progr. Math., 133, Birkhäuser, Basel, 1995. (Proof of the Arnold conjecture for )
  • Andreas Floer , Helmut Hofer , Dietmar Salamon: Transversality in elliptic Morse theory for the symplectic action. Duke Math. J. 80 (1995) no. 1, 251-292.
  • Joel Robbin, Dietmar Salamon: The spectral flow and the Maslov index. Bull. London Math. Soc. 27 (1995), no. 1, 1-33.
  • Stamatis Dostoglou, Dietmar Salamon: Self-dual instantons and holomorphic curves. Ann. of Math. (2) 139 (1994) no. 3, 581-640.
  • Joel Robbin, Dietmar Salamon: The Maslov index for paths. Topology 32 (1993) no. 4: 827-844.
  • Dietmar Salamon, Eduard Zehnder : Morse theory for periodic solutions of Hamiltonian systems and the Maslov index. Comm. Pure Appl. Math. 45 (1992) no. 10, 1303-1360.
  • Dietmar Salamon: Infinite-dimensional linear systems with unbounded control and observation: a functional analytic approach. Trans. Amer. Math. Soc. 300 (1987) no. 2, 383-431.

Web links

Individual evidence

  1. ↑ 2017 AMS Leroy P. Steele Prize for Mathematical Exposition
personal data
SURNAME Salamon, Dietmar Arno
BRIEF DESCRIPTION German mathematician and university professor
DATE OF BIRTH March 7, 1953
PLACE OF BIRTH Bremen