What is he best known for?
The fields of study he is best known for:
- Topology
- Mathematical analysis
- Quantum mechanics
His primary areas of investigation include Symplectic geometry, Symplectic manifold, Pure mathematics, Symplectomorphism and Moment map.
His studies deal with areas such as Manifold and Homology as well as Symplectic geometry.
His studies in Symplectic manifold integrate themes in fields like Topology and Algebra.
His Algebra research is multidisciplinary, incorporating elements of Geometry and topology and Symplectic matrix, Symplectic representation, Symplectic vector space.
His study in Pure mathematics is interdisciplinary in nature, drawing from both Mathematical analysis and Real number.
His Symplectomorphism research is multidisciplinary, incorporating elements of Hamiltonian mechanics and Superintegrable Hamiltonian system.
His most cited work include:
- Calabi quasimorphism and quantum homology (211 citations)
- Symplectic packings and algebraic geometry (184 citations)
- Rigid subsets of symplectic manifolds (150 citations)
What are the main themes of his work throughout his whole career to date?
His primary scientific interests are in Symplectic geometry, Pure mathematics, Symplectic manifold, Symplectomorphism and Mathematical analysis.
He has researched Symplectic geometry in several fields, including Poisson bracket, Quantum, Homology and Mathematical physics.
His work on Hamiltonian system is typically connected to Unsharpness and Lagrangian as part of general Mathematical physics study, connecting several disciplines of science.
His Pure mathematics research integrates issues from Cotangent bundle, Uniform norm and Class.
Leonid Polterovich studied Symplectic manifold and Hamiltonian that intersect with Identity component.
As a part of the same scientific family, Leonid Polterovich mostly works in the field of Symplectomorphism, focusing on Moment map and, on occasion, Geometry and topology.
He most often published in these fields:
- Symplectic geometry (67.36%)
- Pure mathematics (54.17%)
- Symplectic manifold (50.00%)
What were the highlights of his more recent work (between 2014-2021)?
- Symplectic geometry (67.36%)
- Quantum (14.58%)
- Pure mathematics (54.17%)
In recent papers he was focusing on the following fields of study:
Leonid Polterovich spends much of his time researching Symplectic geometry, Quantum, Pure mathematics, Quantization and Classical mechanics.
Leonid Polterovich studies Symplectomorphism which is a part of Symplectic geometry.
His work carried out in the field of Symplectomorphism brings together such families of science as Embedding, Algebraic number and Field.
His studies in Pure mathematics integrate themes in fields like Order and Group.
His research in Quantization intersects with topics in Mathematical physics, Phase space, Toeplitz matrix and Semiclassical physics.
His study focuses on the intersection of Remainder and fields such as Quantum measurement with connections in the field of Symplectic manifold.
Between 2014 and 2021, his most popular works were:
- Autonomous Hamiltonian flows, Hofer’s geometry and persistence modules (55 citations)
- Persistence Modules with Operators in Morse and Floer Theory (23 citations)
- On Sandon-type metrics for contactomorphism groups (15 citations)
In his most recent research, the most cited papers focused on:
- Topology
- Mathematical analysis
- Geometry
Quantum, Symplectic geometry, Quantization, Geometry and Mathematical physics are his primary areas of study.
The study incorporates disciplines such as Intersection, Persistent homology, Homology and Product in addition to Quantum.
His Symplectic geometry research is multidisciplinary, relying on both Covering space, Norm, Bounded function, Real line and Order.
In his work, Topology and Toeplitz matrix is strongly intertwined with Semiclassical physics, which is a subfield of Quantization.
His Floer homology study in the realm of Geometry connects with subjects such as Robustness and Differential topology.
His work deals with themes such as Quantum measurement, Symplectic manifold, Correspondence principle, Hamiltonian and Remainder, which intersect with Mathematical physics.
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