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Dietmar Salamon

January 01, 1970

Dietmar Arno Salamon (born 7 March 1953 in Bremen) is a German mathematician.

Education and career edit

Salamon studied mathematics at the Leibniz University Hannover. In 1982 he earned his doctorate at the University of Bremen with dissertation On control and observation of neutral systems.[1][2] He subsequently spent two years as a postdoctoral fellow at the Mathematical Research Center at the University of Wisconsin–Madison, followed by one year at the Mathematical Research Institute at ETH Zurich. In 1986 he became a lecturer at the University of Warwick, where he was appointed full professor in 1994. The summer semester 1988 he spent as a visiting professor at the University of Bremen and the winter semester 1991 at the University of Wisconsin-Madison. From 1998 to 2018 he was a full professor of mathematics at ETH Zurich, retiring as professor emeritus in 2018.[3]

Salamon's field of research is symplectic topology and related fields such as symplectic geometry. Symplectic topology is a relatively new field of mathematics that developed into an important branch of mathematics in the 1990s. Some important new techniques are Gromov's pseudoholomorphic curves, Floer homology, and Seiberg-Witten invariants on four-dimensional manifolds.

In 1994 he was an Invited Speaker with talk Lagrangian intersections, 3-manifolds with boundary and the Atiyah-Floer conjecture at the International Congress of Mathematicians (ICM) in Zurich. In 2012 he was elected a Fellow of the American Mathematical Society. In 2017 he received, with Dusa McDuff, the AMS Leroy P. Steele Prize for Mathematical Exposition for the book J-holomorphic curves and symplectic topology, which they co-authored.[4] He has been a member of Academia Europaea since 2011.

Selected publications edit

Books edit

  • Dietmar Salamon: Funktionentheorie. Birkhauser, 2011.
  • Dusa McDuff, Dietmar Salamon: J-holomorphic curves and symplectic topology. American Mathematical Society, 2004,[5] 2nd edition 2012.
  • Dusa McDuff, Dietmar Salamon: Introduction to symplectic topology. Oxford University Press, 1998.[6]
  • Dusa McDuff:  -holomorphic curves and quantum cohomology. American Mathematical Soc. 1994. ISBN 978-0-8218-0332-5.[7]

Articles edit

  • 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  ) doi:10.1007/978-3-0348-9217-9_20
  • 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. doi:10.2307/2118573
  • 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. doi:10.1002/cpa.3160451004
  • 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. doi:10.1090/S0002-9947-1987-0876460-7

References edit

  1. ^ Salamon, Dietmar (1982). "On control and observation of neutral systems" (PDF). (See control theory.)
  2. ^ Dietmar Arno Salamon at the Mathematics Genealogy Project
  3. ^ "Dietmar Salamon: farewell lecture". Department of Mathematics, ETH Zürich. 22 November 2018.
  4. ^ "Dusa McDuff and Dieter Salamon to Receive AMS Steele Prize for Mathematical Exposition". American Mathematical Society (AMS). 16 November 2016.
  5. ^ Eliashberg, Yakov (2006). "Book Review:  -holomorphic curves and symplectic topology". Bulletin of the American Mathematical Society. 44 (2): 309–316. doi:10.1090/S0273-0979-06-01132-3. ISSN 0273-0979.
  6. ^ Jeffrey, Lisa (1997). "Book Review: Introduction to symplectic topology". Bulletin of the American Mathematical Society. 34 (4): 441–446. doi:10.1090/S0273-0979-97-00726-X. ISSN 0273-0979.
  7. ^ Lalonde, François (1996). "Book Review:  -holomorphic curves and quantum cohomology". Bulletin of the American Mathematical Society. 33 (3): 385–395. doi:10.1090/S0273-0979-96-00668-4. ISSN 0273-0979.

External links edit

January 01, 1970
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Dietmar Arno Salamon born 7 March 1953 in Bremen is a German mathematician Contents 1 Education and career 2 Selected publications 2 1 Books 2 2 Articles 3 References 4 External linksEducation and career editSalamon studied mathematics at the Leibniz University Hannover In 1982 he earned his doctorate at the University of Bremen with dissertation On control and observation of neutral systems 1 2 He subsequently spent two years as a postdoctoral fellow at the Mathematical Research Center at the University of Wisconsin Madison followed by one year at the Mathematical Research Institute at ETH Zurich In 1986 he became a lecturer at the University of Warwick where he was appointed full professor in 1994 The summer semester 1988 he spent as a visiting professor at the University of Bremen and the winter semester 1991 at the University of Wisconsin Madison From 1998 to 2018 he was a full professor of mathematics at ETH Zurich retiring as professor emeritus in 2018 3 Salamon s field of research is symplectic topology and related fields such as symplectic geometry Symplectic topology is a relatively new field of mathematics that developed into an important branch of mathematics in the 1990s Some important new techniques are Gromov s pseudoholomorphic curves Floer homology and Seiberg Witten invariants on four dimensional manifolds In 1994 he was an Invited Speaker with talk Lagrangian intersections 3 manifolds with boundary and the Atiyah Floer conjecture at the International Congress of Mathematicians ICM in Zurich In 2012 he was elected a Fellow of the American Mathematical Society In 2017 he received with Dusa McDuff the AMS Leroy P Steele Prize for Mathematical Exposition for the book J holomorphic curves and symplectic topology which they co authored 4 He has been a member of Academia Europaea since 2011 Selected publications editBooks edit Dietmar Salamon Funktionentheorie Birkhauser 2011 Dusa McDuff Dietmar Salamon J holomorphic curves and symplectic topology American Mathematical Society 2004 5 2nd edition 2012 Dusa McDuff Dietmar Salamon Introduction to symplectic topology Oxford University Press 1998 6 Dusa McDuff J displaystyle J nbsp holomorphic curves and quantum cohomology American Mathematical Soc 1994 ISBN 978 0 8218 0332 5 7 Articles edit 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 Birkhauser Basel 1995 proof of the Arnold conjecture for c 1 p 2 M 0 displaystyle c 1 mid pi 2 M 0 nbsp doi 10 1007 978 3 0348 9217 9 20 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 doi 10 2307 2118573 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 doi 10 1002 cpa 3160451004 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 doi 10 1090 S0002 9947 1987 0876460 7References edit Salamon Dietmar 1982 On control and observation of neutral systems PDF See control theory Dietmar Arno Salamon at the Mathematics Genealogy Project Dietmar Salamon farewell lecture Department of Mathematics ETH Zurich 22 November 2018 Dusa McDuff and Dieter Salamon to Receive AMS Steele Prize for Mathematical Exposition American Mathematical Society AMS 16 November 2016 Eliashberg Yakov 2006 Book Review J displaystyle J nbsp holomorphic curves and symplectic topology Bulletin of the American Mathematical Society 44 2 309 316 doi 10 1090 S0273 0979 06 01132 3 ISSN 0273 0979 Jeffrey Lisa 1997 Book Review Introduction to symplectic topology Bulletin of the American Mathematical Society 34 4 441 446 doi 10 1090 S0273 0979 97 00726 X ISSN 0273 0979 Lalonde Francois 1996 Book Review J displaystyle J nbsp holomorphic curves and quantum cohomology Bulletin of the American Mathematical Society 33 3 385 395 doi 10 1090 S0273 0979 96 00668 4 ISSN 0273 0979 External links editLiterature by and about Dietmar Salamon in the German National Library catalogue GIT and µµ GIT Dietmar Salamon YouTube Institute for Advanced Study 11 August 2018 See geometric invariant theory GIT Retrieved from https en wikipedia org w index php title Dietmar Salamon amp oldid 1134303006, wikipedia, wiki, book, books, library,

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