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- Dietmar Salamon

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
41
Citations
13,031
100
World Ranking
1250
National Ranking
24

2017 - Steele Prize for Mathematical Exposition

2013 - Fellow of the American Mathematical Society

2011 - Member of Academia Europaea

- Mathematical analysis
- Pure mathematics
- Topology

Dietmar Salamon mostly deals with Pure mathematics, Floer homology, Pseudoholomorphic curve, Symplectic manifold and Symplectic geometry. His work is dedicated to discovering how Pure mathematics, Discrete mathematics are connected with Generalization and other disciplines. His work carried out in the field of Floer homology brings together such families of science as Khovanov homology and Topology.

Dietmar Salamon has researched Pseudoholomorphic curve in several fields, including Gromov–Witten invariant and Morse theory, Transversality, Mathematical analysis. Symplectic manifold is often connected to Moment map in his work. Dietmar Salamon specializes in Symplectic geometry, namely Symplectomorphism.

- Introduction to Symplectic Topology (1437 citations)
- J-Holomorphic Curves and Symplectic Topology (961 citations)
- The Maslov index for paths (529 citations)

The scientist’s investigation covers issues in Pure mathematics, Mathematical analysis, Symplectic geometry, Floer homology and Symplectic manifold. His research on Pure mathematics often connects related topics like Instanton. His Mathematical analysis study frequently links to related topics such as Mathematical physics.

In his research, Toric manifold is intimately related to Quantum cohomology, which falls under the overarching field of Symplectic geometry. In his study, Cotangent space is inextricably linked to Contact geometry, which falls within the broad field of Floer homology. His Symplectic manifold study often links to related topics such as Algebra.

- Pure mathematics (66.10%)
- Mathematical analysis (41.53%)
- Symplectic geometry (33.05%)

- Pure mathematics (66.10%)
- Symplectic geometry (33.05%)
- Mathematical analysis (41.53%)

His primary scientific interests are in Pure mathematics, Symplectic geometry, Mathematical analysis, Moment map and Isotopy. His research in the fields of Symplectomorphism and Manifold overlaps with other disciplines such as Moment and Index. Dietmar Salamon has included themes like Symplectic representation and Symplectic manifold in his Symplectomorphism study.

His Symplectic geometry research incorporates elements of Space, Uniqueness and Geometric flow. His Mathematical analysis research includes themes of Boundary, Dimension and Mathematical physics. Dietmar Salamon usually deals with Isotopy and limits it to topics linked to Floer homology and Invariant, Holomorphic function and Simply connected space.

- Uniqueness of symplectic structures (28 citations)
- SPIN GEOMETRY AND SEIBERG-WITTEN INVARIANTS (26 citations)
- The moment-weight inequality and the Hilbert-Mumford criterion (20 citations)

- Mathematical analysis
- Pure mathematics
- Topology

His primary areas of study are Mathematical analysis, Pure mathematics, Geometric analysis, Differential geometry and Mathematical physics. His work on Symplectic geometry, Symplectic vector space, Uniqueness and Symplectic representation as part of general Mathematical analysis research is often related to Geometric invariant theory, thus linking different fields of science. His Pure mathematics research covers fields of interest such as Rearrangement inequality, Inequality of arithmetic and geometric means, Ky Fan inequality, Second moment method and Moment.

He integrates several fields in his works, including Geometric analysis and Geometry. In his works, he performs multidisciplinary study on Mathematical physics and Spin geometry.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Introduction to symplectic topology

Dusa McDuff;Dietmar Salamon.

**(1995)**

2703 Citations

J-Holomorphic Curves and Symplectic Topology

Dusa McDuff;Dietmar Salamon.

**(2004)**

1598 Citations

The Maslov index for paths

Joel Robbin;Dietmar Salamon.

Topology **(1993)**

851 Citations

Morse theory for periodic solutions of hamiltonian systems and the maslov index

Dietmar Salamon;Eduard Zehnder.

Communications on Pure and Applied Mathematics **(1992)**

790 Citations

J-Holomorphic Curves and Quantum Cohomology

Dusa McDuff;Dietmar Salamon.

**(1994)**

619 Citations

Infinite-dimensional linear systems with unbounded control and observation: a functional analytic approach

Dietmar Salamon.

Transactions of the American Mathematical Society **(1987)**

478 Citations

Transversality in elliptic Morse theory for the symplectic action

Andreas Floer;Helmut Hofer;Dietmar Salamon.

Duke Mathematical Journal **(1995)**

416 Citations

The Spectral Flow and the Maslov Index

Joel Robbin;Dietmar Salamon.

Bulletin of The London Mathematical Society **(1995)**

411 Citations

Floer homology and Novikov rings

Helmut Hofer;Dietmar A. Salamon.

**(1995)**

403 Citations

Lectures on Floer homology

Dietmar Salamon.

**(2006)**

325 Citations

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