Dietmar Salamon

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.{{cite web|title=On control and observation of neutral systems|author=Salamon, Dietmar|year=1982|url=https://people.math.ethz.ch/~salamon/PREPRINTS/ConObsNeuSys.pdf}} (See control theory.){{MathGenealogy|id=26635|title=Dietmar Arno Salamon}} 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.{{cite web|title=Dietmar Salamon: farewell lecture|website=Department of Mathematics, ETH Zürich|date=22 November 2018|url=https://math.ethz.ch/news-and-events/news/d-math-news/2018/11/dietmar-salamon-farewell-lecture.html}}

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.{{cite web|website=American Mathematical Society (AMS)|title=Dusa McDuff and Dieter Salamon to Receive AMS Steele Prize for Mathematical Exposition|date=16 November 2016|url=https://www.ams.org/news?news_id=3212}} He has been a member of Academia Europaea since 2011.

• Dietmar Salamon: Funktionentheorie. Birkhauser, 2011.
• Dusa McDuff, Dietmar Salamon: J-holomorphic curves and symplectic topology. American Mathematical Society, 2004,{{cite journal|last1=Eliashberg|first1=Yakov|authorlink=Yakov Eliashberg|title=Book Review: $J$-holomorphic curves and symplectic topology|journal=Bulletin of the American Mathematical Society|volume=44|issue=2|year=2006|pages=309–316|issn=0273-0979|doi=10.1090/S0273-0979-06-01132-3|doi-access=free}} [https://books.google.com/books/about/J_holomorphic_Curves_and_Symplectic_Topo.html?id=a41JpjfIGocC 2nd edition 2012].
• Dusa McDuff, Dietmar Salamon: [https://books.google.com/books/about/Introduction_to_Symplectic_Topology.html?id=DNjKAeRexE4C Introduction to symplectic topology.] Oxford University Press, 1998.{{cite journal|last1=Jeffrey|first1=Lisa|authorlink=Lisa Jeffrey|title=Book Review: Introduction to symplectic topology|journal=Bulletin of the American Mathematical Society|volume=34|issue=4|year=1997|pages=441–446|issn=0273-0979|doi=10.1090/S0273-0979-97-00726-X|doi-access=free}}
• Dusa McDuff: {{cite book|title=$J$-holomorphic curves and quantum cohomology|url=https://books.google.com/books?id=a5eKAwAAQBAJ|year=1994|publisher=American Mathematical Soc.|isbn=978-0-8218-0332-5}}{{cite journal|last1=Lalonde|first1=François|authorlink=François Lalonde|title=Book Review: $J$-holomorphic curves and quantum cohomology|journal=Bulletin of the American Mathematical Society|volume=33|issue=3|year=1996|pages=385–395|issn=0273-0979|doi=10.1090/S0273-0979-96-00668-4|doi-access=free}}

• Dietmar Salamon: [https://books.google.com/books/about/Symplectic_Geometry.html?id=4H85XqOXkC0C 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 $c\_1\backslash mid\_\{\backslash pi\_2M\}=0$) {{doi|10.1007/978-3-0348-9217-9_20}}
• Andreas Floer, Helmut Hofer, Dietmar Salamon: [https://www.math.nyu.edu/~hofer/publications/trans.ps Transversality in elliptic Morse theory for the symplectic action.] Duke Math. J. 80 (1995), no. 1, 251–292.
• Joel Robbin, Dietmar Salamon: [https://people.math.ethz.ch/~salamon/PREPRINTS/spec.pdf 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: [http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.73.527&rep=rep1&type=pdf The Maslov index for paths.] Topology 32 (1993), no. 4, 827–844.
• Dietmar Salamon, Eduard Zehnder: [http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.73.527&rep=rep1&type=pdf 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}}

• {{DNB-Portal|1015895271}}
• {{cite web|title=GIT and µµ-GIT - Dietmar Salamon|date=11 August 2018|publisher=Institute for Advanced Study|website=YouTube|url=https://www.youtube.com/watch?v=8FQUqka_GgE}} (See geometric invariant theory (GIT).)

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Category:1953 births

Category:Living people

Category:20th-century German mathematicians

Category:21st-century German mathematicians

Category:Leibniz University Hannover alumni

Category:University of Bremen alumni

Category:Academics of the University of Warwick

Category:Academic staff of ETH Zurich

Category:Fellows of the American Mathematical Society

Category:Members of Academia Europaea