What is he best known for?
The fields of study he is best known for:
- Geometry
- Pure mathematics
- Topology
Dusa McDuff mainly investigates Symplectic geometry, Pure mathematics, Symplectomorphism, Symplectic manifold and Moment map.
His Symplectic geometry study combines topics from a wide range of disciplines, such as Embedding, Topology and Combinatorics, Homology.
The Pure mathematics study which covers Mathematical analysis that intersects with Dimension.
His research in Symplectomorphism tackles topics such as Homotopy which are related to areas like Cohomology ring and Cohomology.
His study looks at the relationship between Symplectic manifold and fields such as Quantum cohomology, as well as how they intersect with chemical problems.
His work on Symplectic representation as part of general Moment map research is often related to Homoclinic connection and Volume form, thus linking different fields of science.
His most cited work include:
- Introduction to Symplectic Topology (1437 citations)
- J-Holomorphic Curves and Symplectic Topology (961 citations)
- J-Holomorphic Curves and Quantum Cohomology (401 citations)
What are the main themes of his work throughout his whole career to date?
The scientist’s investigation covers issues in Pure mathematics, Symplectic geometry, Symplectic manifold, Symplectomorphism and Mathematical analysis.
His works in Fundamental class, Moduli space, Cohomology, Holomorphic function and Invariant are all subjects of inquiry into Pure mathematics.
His study on Moduli space also encompasses disciplines like
- Transversality together with Pseudoholomorphic curve,
- Structure together with Simple.
His Symplectic geometry research is multidisciplinary, relying on both Embedding, Quantum cohomology and Combinatorics, Homology.
His research investigates the connection between Symplectic manifold and topics such as Moment map that intersect with issues in Symplectic group.
He focuses mostly in the field of Symplectomorphism, narrowing it down to topics relating to Homotopy and, in certain cases, Characteristic class.
He most often published in these fields:
- Pure mathematics (66.67%)
- Symplectic geometry (60.38%)
- Symplectic manifold (32.08%)
What were the highlights of his more recent work (between 2008-2020)?
- Symplectic geometry (60.38%)
- Pure mathematics (66.67%)
- Homology (22.01%)
In recent papers he was focusing on the following fields of study:
Dusa McDuff focuses on Symplectic geometry, Pure mathematics, Homology, Fundamental class and Embedding.
Many of his research projects under Symplectic geometry are closely connected to Ellipsoid with Ellipsoid, tying the diverse disciplines of science together.
The concepts of his Symplectic manifold study are interwoven with issues in Cohomology and Divisor.
Dusa McDuff usually deals with Moment map and limits it to topics linked to Symplectomorphism and Symplectic representation.
His Pure mathematics study incorporates themes from Mathematical analysis and Torus.
In his study, Equivariant cohomology is strongly linked to Manifold, which falls under the umbrella field of Homology.
Between 2008 and 2020, his most popular works were:
- Topological properties of Hamiltonian circle actions (110 citations)
- The embedding capacity of 4-dimensional symplectic ellipsoids (80 citations)
- Symplectic embeddings of 4‐dimensional ellipsoids (80 citations)
In his most recent research, the most cited papers focused on:
- Geometry
- Topology
- Pure mathematics
His primary scientific interests are in Symplectic geometry, Pure mathematics, Homology, Embedding and Combinatorics.
Dusa McDuff specializes in Symplectic geometry, namely Toric manifold.
Much of his study explores Pure mathematics relationship to Mathematical analysis.
His research integrates issues of Manifold and Symplectic manifold in his study of Homology.
His research in Manifold intersects with topics in Moment map, Invariant, Algebra and Equivariant cohomology.
His Symplectic manifold research incorporates elements of Monotone polygon, Floer homology and Facet.
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