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Leonid Polterovich

Leonid Polterovich

D-Index & Metrics

Mathematics

D-Index
39
Citations
5559
World Ranking
2231
National Ranking
37

Overview

Leonid Polterovich is affiliated with Tel Aviv University in Israel, primarily focusing on research within the field of Mathematics. Their work extensively covers subfields including Mathematical Physics, Geometry and Topology, Applied Mathematics, Computational Theory and Mathematics, and Algebra and Number Theory.

Their main research topics encompass Homotopy and Cohomology in Algebraic Topology, Topological and Geometric Data Analysis, Geometric Analysis and Curvature Flows, Theoretical and Computational Physics, Geometric and Algebraic Topology, Advanced Operator Algebra Research, and Advanced Algebra and Geometry.

Polterovich's publication record includes contributions to various journals and repositories, with a predominant number published through the arXiv platform. Other notable venues include Nonlinearity, Compositio Mathematica, Journal of Fixed Point Theory and Applications, and the Journal of the London Mathematical Society.

Recent papers authored or co-authored by Polterovich include:

  • Lagrangian configurations and Hamiltonian maps, 2023, Compositio Mathematica
  • Norm rigidity for arithmetic and profinite groups, 2023, Journal of the London Mathematical Society

Polterovich has frequently collaborated with several co-authors, including Daniel Rosen, Karina Samvelyan, Jun Zhang, Michael Entov, and Egor Shelukhin, reflecting an active role in joint research ventures.

They have also contributed to book publications, notably through the American Mathematical Society with the book titled Topological Persistence in Geometry and Analysis, published in 2020.

Key publication venues with multiple works include:

  • arXiv (Cornell University)
  • Nonlinearity
  • Compositio Mathematica
  • Journal of Fixed Point Theory and Applications
  • Journal of the London Mathematical Society

Frequent co-authors are:

  • Daniel Rosen
  • Karina Samvelyan
  • Jun Zhang
  • Michael Entov
  • Egor Shelukhin

Best Publications

  • The Geometry of the Group of Symplectic Diffeomorphism

    Unknown

  • Calabi quasimorphism and quantum homology

    Michael Entov;Leonid Polterovich

  • Symplectic packings and algebraic geometry

    Dusa McDuff;Leonid Polterovich

  • Geometry of contact transformations and domains: orderability versus squeezing

    Yakov Eliashberg;Sang Seon Kim;Leonid Polterovich

  • Rigid subsets of symplectic manifolds

    Michael Entov;Leonid Polterovich

  • Quasi-states and symplectic intersections

    Michael Entov;Leonid Polterovich

  • Growth of maps, distortion in groups and symplectic geometry

    Leonid Polterovich

  • Partially ordered groups and geometry of contact transformations

    Y. Eliashberg;L. Polterovich

  • Propagation in Hamiltonian dynamics and relative symplectic homology

    Paul Biran;Leonid Polterovich;Dietmar Salamon

  • THE SURGERY OF LAGRANGE SUBMANIFOLDS

    L. Polterovich

  • Symplectic rigidity: Lagrangian submanifolds

    Michèle Audin;François Lalonde;Leonid Polterovich

  • Topological rigidity of Hamiltonian loops and quantum homology

    François Lalonde;Dusa McDuff;Leonid Polterovich

  • Conjugation-invariant norms on groups of geometric origin

    Unknown

  • CALABI QUASIMORPHISMS FOR THE SYMPLECTIC BALL

    Paul Biran;Michael Entov;Leonid Polterovich

  • Symplectic displacement energy for Lagrangian submanifolds

    Leonid Polterovich

  • Autonomous Hamiltonian flows, Hofer’s geometry and persistence modules

    Leonid Polterovich;Egor Shelukhin

  • Local Lagrangian $2$-knots are trivial

    Yakov Eliashberg;Leonid Polterovich

  • Geodesics of Hofer’s metric on the group of Hamiltonian diffeomorphisms

    Misha Bialy;Leonid Polterovich

  • Quasi-morphisms and the Poisson Bracket

    Michael Entov;Leonid Polterovich;Frol Zapolsky

  • Function Theory on Symplectic Manifolds

    Leonid Polterovich;Daniel Rosen

  • Hofer's diameter and Lagrangian intersections

    Leonid Polterovich

  • New Perspectives and Challenges in Symplectic Field Theory

    Miguel Abreu;François Lalonde;Leonid Polterovich

Frequent Co-Authors

Yakov Eliashberg
Yakov Eliashberg Stanford University
Dusa McDuff
Dusa McDuff Columbia University
David Kazhdan
David Kazhdan Hebrew University of Jerusalem
Gabriel P. Paternain
Gabriel P. Paternain University of Cambridge
Zeév Rudnick
Zeév Rudnick Tel Aviv University
Fedor Nazarov
Fedor Nazarov Kent State University

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