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Mathematics

D-Index
32
Citations
7706
World Ranking
3111
National Ranking
1244

Research.com Recognitions

  • 2020 - Wolf Prize in Mathematics for their contributions to differential geometry and topology.
  • 2013 - Fellow of the American Mathematical Society
  • 2003 - Member of the National Academy of Sciences
  • 1995 - Fellow of John Simon Guggenheim Memorial Foundation

Overview

Yakov Eliashberg is affiliated with Stanford University in the United States and specializes primarily in the field of Mathematics. Their work spans several subfields, including Geometry and Topology, Mathematical Physics, Applied Mathematics, Numerical Analysis, and Discrete Mathematics and Combinatorics.

The scientist has contributed extensively to topics such as Geometric and Algebraic Topology, Homotopy and Cohomology in Algebraic Topology, Advanced Operator Algebra Research, Geometric Analysis and Curvature Flows, Point processes and geometric inequalities, Numerical methods for differential equations, and Mathematical and Theoretical Analysis.

Recent papers authored by Yakov Eliashberg include:

  • Making cobordisms symplectic (2021), Journal of the American Mathematical Society
  • Stabilized convex symplectic manifolds are Weinstein (2021), Kyoto Journal of Mathematics

Frequent collaborators in their research include Kai Cieliebak, N. Mishachev, Daniel Álvarez-Gavela, and David Nadler.

Yakov Eliashberg has published multiple works in several venues, with notable frequent publication venues being:

  • arXiv (Cornell University)
  • Journal of the American Mathematical Society
  • Journal of Symplectic Geometry
  • Kyoto Journal of Mathematics
  • Journal of Topology

They have also contributed to book publications, including the title Introduction to the ℎ-Principle published by the American Mathematical Society in 2024, which has accrued significant citations.

Recognition for their work includes awards such as the Wolf Prize in Mathematics in 2020, specifically for contributions to differential geometry and topology. They were named a Fellow of the American Mathematical Society in 2013, inducted as a Member of the National Academy of Sciences in 2003, and recognized as a Fellow of the John Simon Guggenheim Memorial Foundation in 1995.

Best Publications

  • Introduction to Symplectic Field Theory

    Yakov Eliashberg;Alexander Givental;Helmut Hofer

  • TOPOLOGICAL CHARACTERIZATION OF STEIN MANIFOLDS OF DIMENSION >2

    Yakov Eliashberg;Yakov Eliashberg

  • Compactness results in Symplectic Field Theory

    Frédéric Bourgeois;Yakov Eliashberg;Helmut Hofer;Krzysztof Wysocki

  • Classification of overtwisted contact structures on 3-manifolds.

    Y. Eliashberg

  • Introduction to the h-Principle

    Y. Eliashberg;N. Mishachev

  • Contact 3-manifolds twenty years since J. Martinet's work

    Unknown

  • From Stein to Weinstein and Back: Symplectic Geometry of Affine Complex Manifolds

    Kai Cieliebak;Yakov Eliashberg

  • Geometry of Low-dimensional Manifolds: Filling by holomorphic discs and its applications

    Unknown

  • Geometry of contact transformations and domains: orderability versus squeezing

    Yakov Eliashberg;Sang Seon Kim;Leonid Polterovich

  • Effect of Legendrian surgery

    Frédéric Bourgeois;Tobias Ekholm;Yakov Eliashberg

  • Existence and classification of overtwisted contact structures in all dimensions

    Matthew Strom Borman;Yakov Eliashberg;Emmy Murphy

  • Invariants in contact topology

    Unknown

  • Partially ordered groups and geometry of contact transformations

    Y. Eliashberg;L. Polterovich

  • Existence and classification of overtwisted contact structures in all dimensions

    Matthew Strom Borman;Yakov Eliashberg;Emmy Murphy

  • A few remarks about symplectic filling

    Yakov Eliashberg

  • Topologically trivial Legendrian knots

    Yakov Eliashberg;Maia Fraser

  • Classification of topologically trivial Legendrian knots

    Yakov Eliashberg;Maia Fraser

  • Convex symplectic manifolds

    Unknown

  • On symplectic manifolds with some contact properties

    Yakov Eliashberg

  • Local Lagrangian $2$-knots are trivial

    Yakov Eliashberg;Leonid Polterovich

  • LAGRANGIAN INTERSECTIONS IN CONTACT GEOMETRY

    Y. Eliashberg;H. Hofer;D. Salamon

  • Embeddings of Stein manifolds of dimension $n$ into the affine space of dimension $3n/2+1$

    Yakov Eliashberg;Mikhael Gromov

  • BIINVARIANT METRICS ON THE GROUP OF HAMILTONIAN DIFFEOMORPHISMS

    Yakov Eliashberg;Leonid Polterovich

  • Symplectic and Contact Topology: Interactions and Perspectives

    Yakov Eliashberg;Boris Khesin;François Lalonde

  • Geometry of contact transformations and domains: orderability vs. squeezing

    Yakov Eliashberg;Sang Seon Kim;Leonid Polterovich

Frequent Co-Authors

Leonid Polterovich
Leonid Polterovich Tel Aviv University
Helmut Hofer
Helmut Hofer Institute for Advanced Study
Tudor S. Ratiu
Tudor S. Ratiu École Polytechnique Fédérale de Lausanne
Mikhael Gromov
Mikhael Gromov Institut des Hautes Études Scientifiques
Curtis T. McMullen
Curtis T. McMullen Harvard University
Simon Donaldson
Simon Donaldson Imperial College London
Serge Tabachnikov
Serge Tabachnikov Pennsylvania State University

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