What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- Introduction to Symplectic Topology (1437 citations)
- J-Holomorphic Curves and Symplectic Topology (961 citations)
- The Maslov index for paths (529 citations)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Pure mathematics (66.10%)
- Mathematical analysis (41.53%)
- Symplectic geometry (33.05%)
What were the highlights of his more recent work (between 2010-2020)?
- Pure mathematics (66.10%)
- Symplectic geometry (33.05%)
- Mathematical analysis (41.53%)
In recent papers he was focusing on the following fields of study:
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.
Between 2010 and 2020, his most popular works were:
- 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)
In his most recent research, the most cited papers focused on:
- 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.
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