What is he best known for?
The fields of study he is best known for:
- Mathematical analysis
- Geometry
- Topology
The scientist’s investigation covers issues in Mathematical analysis, Symplectic geometry, Pure mathematics, Pseudoholomorphic curve and Symplectic manifold.
His work on Mathematical analysis deals in particular with Holomorphic function, Weinstein conjecture, Periodic orbits, Differential geometry and Manifold.
His Symplectic geometry research is multidisciplinary, incorporating perspectives in Hamiltonian system and Topology.
His work in Hamiltonian system tackles topics such as Diffeomorphism which are related to areas like Fixed-point theorem and Metric.
Pure mathematics is closely attributed to Hamiltonian mechanics in his research.
Many of his research projects under Moment map are closely connected to Fredholm operator with Fredholm operator, tying the diverse disciplines of science together.
His most cited work include:
- Symplectic Invariants and Hamiltonian Dynamics (657 citations)
- Introduction to Symplectic Field Theory (501 citations)
- Pseudoholomorphic curves in symplectizations with applications to the Weinstein conjecture in dimension three. (442 citations)
What are the main themes of his work throughout his whole career to date?
His primary areas of study are Pure mathematics, Symplectic geometry, Mathematical analysis, Symplectic manifold and Hamiltonian system.
His Pure mathematics research focuses on Weinstein conjecture, Floer homology, Symplectic vector space, Compact space and Pseudoholomorphic curve.
The study incorporates disciplines such as Transversal and Dimension, Combinatorics in addition to Weinstein conjecture.
His Symplectomorphism and Moment map study in the realm of Symplectic geometry interacts with subjects such as Fredholm theory.
His Symplectic manifold study frequently draws connections between related disciplines such as Vector field.
His biological study deals with issues like Hamiltonian mechanics, which deal with fields such as Fixed-point theorem and Diffeomorphism.
He most often published in these fields:
- Pure mathematics (46.15%)
- Symplectic geometry (46.15%)
- Mathematical analysis (35.90%)
What were the highlights of his more recent work (between 2015-2020)?
- Pure mathematics (46.15%)
- Manifold (5.13%)
- Symplectic geometry (46.15%)
In recent papers he was focusing on the following fields of study:
His scientific interests lie mostly in Pure mathematics, Manifold, Symplectic geometry, Geometry and Structure.
In the field of Pure mathematics, his study on Compact space and Holomorphic function overlaps with subjects such as Fredholm theory and Intersection theory.
His Compact space research incorporates themes from Hamiltonian mechanics, Conjecture, Pseudoholomorphic curve, Curvature and Symplectization.
His Symplectic geometry study combines topics in areas such as Transversality, Theoretical physics and Field theory.
His study in the fields of Section and Vector field under the domain of Geometry overlaps with other disciplines such as Slope field.
His study with Reeb vector field involves better knowledge in Mathematical analysis.
Between 2015 and 2020, his most popular works were:
- Polyfold and Fredholm Theory (32 citations)
- Applications of Polyfold Theory I: The Polyfolds of Gromov-witten Theory (15 citations)
- Lectures on Polyfolds and Symplectic Field Theory (7 citations)
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