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Mathematics

D-Index
36
Citations
4519
World Ranking
2678
National Ranking
1099

Research.com Recognitions

  • 2015 - Member of the National Academy of Sciences
  • 2013 - Fellow of the American Mathematical Society
  • 2011 - Fellow of the American Academy of Arts and Sciences
  • 1997 - Fellow of Alfred P. Sloan Foundation

Overview

Alex Eskin is affiliated with the University of Chicago in the United States and has contributed extensively to the field of Mathematics, with a particular focus on Mathematical Dynamics and Fractals, Geometric and Algebraic Topology, and Geometry and complex manifolds.

The main fields of study encompass Mathematics broadly, with notable specialization in subfields such as Mathematical Physics, Geometry and Topology, Computational Theory and Mathematics, Statistical and Nonlinear Physics, and Applied Mathematics.

The primary topics of Eskin's work include:

  • Mathematical Dynamics and Fractals
  • Geometric and Algebraic Topology
  • Geometry and complex manifolds
  • Mathematics and Applications
  • Geometric Analysis and Curvature Flows
  • Semigroups and automata theory
  • Cellular Automata and Applications

Recent scholarly publications by Eskin include:

  • Billiards, quadrilaterals and moduli spaces, 2020, Journal of the American Mathematical Society
  • Effective counting of simple closed geodesics on hyperbolic surfaces, 2021, Journal of the European Mathematical Society

Eskin is known to have collaborated frequently with several researchers, including:

  • Christian Bonatti
  • Amie Wilkinson
  • Curtis T. McMullen
  • Ronen E. Mukamel
  • Alex Wright

The venues where Eskin has published the most work are:

  • arXiv (Cornell University)
  • Journal of the European Mathematical Society
  • Astérisque
  • Journal of the American Mathematical Society

Eskin has received various recognitions, including:

  • Member of the National Academy of Sciences (2015)
  • Fellow of the American Mathematical Society (2013)
  • Fellow of the American Academy of Arts and Sciences (2011)
  • Fellow of Alfred P. Sloan Foundation (1997)

Best Publications

  • Mixing, counting, and equidistribution in Lie groups

    Alex Eskin;Curtis T. McMullen

  • Asymptotics of numbers of branched coverings of a torus and volumes of moduli spaces of holomorphic differentials

    Alex Eskin;Andrei Okounkov

  • Isolation, equidistribution, and orbit closures for the SL(2;R) action on moduli space

    Alex Eskin;Maryam Mirzakhani;Amir Mohammadi

  • UPPER BOUNDS AND ASYMPTOTICS IN A QUANTITATIVE VERSION OF THE OPPENHEIM CONJECTURE

    Alex Eskin;Gregory Margulis;Shahar Mozes

  • Moduli spaces of Abelian differentials: The principal boundary, counting problems, and the Siegel-Veech constants

    Alex Eskin;Howard Masur;Anton Zorich

  • Asymptotic formulas on flat surfaces

    Alex Eskin;Howard Masur

  • Sum of Lyapunov exponents of the Hodge bundle with respect to the Teichmüller geodesic flow

    Alex Eskin;Maxim Kontsevich;Anton Zorich

  • Invariant and stationary measures for the SL(2,R) action on Moduli space

    Alex Eskin;Maryam Mirzakhani

  • Unipotent flows and counting lattice points on homogeneous varieties

    Alex Eskin;Shahar Mozes;Nimish Shah

  • Quasi-isometries and Rigidity of Solvable Groups

    Alex Eskin;David Fisher;Kevin Whyte

  • On uniform exponential growth for linear groups

    Alex Eskin;Shahar Mozes;Hee Oh;Hee Oh

  • Invariant and stationary measures for the action on Moduli space

    Alex Eskin;Maryam Mirzakhani

  • Coarse differentiation of quasi-isometries I: Spaces not quasi-isometric to Cayley graphs

    Alex Eskin;David Fisher;Kevin Whyte

  • Quasi-flats and rigidity in higher rank symmetric spaces

    Alex Eskin;Benson Farb

  • Quadratic forms of signature (2, 2) and eigenvalue spacings on rectangular 2-tori

    Alex Eskin;Gregory Margulis;Shahar Mozes

  • Lattice Point Asymptotics and Volume Growth on Teichmuller space.

    Jayadev S. Athreya;Alexander I. Bufetov;Alex Eskin;Maryam Mirzakhani

  • The theta characteristic of a branched covering

    Alex Eskin;Andrei Okounkov;Rahul Pandharipande

  • Quasi-isometric Rigidity of Solvable Groups

    Alex Eskin;David Fisher

  • Billiards in rectangles with barriers

    Alex Eskin;Howard Masur;Martin Schmoll

  • RIGHT-ANGLED BILLIARDS AND VOLUMES OF MODULI SPACES OF QUADRATIC DIFFERENTIALS ON CP 1

    Jayadev S. Athreya;Alex Eskin;Anton Zorich

Frequent Co-Authors

Howard Masur
Howard Masur University of Chicago
Maxim Kontsevich
Maxim Kontsevich Institut des Hautes Études Scientifiques
Andrei Okounkov
Andrei Okounkov Columbia University
Gregory Margulis
Gregory Margulis Yale University
Artur Avila
Artur Avila University of Zurich
Curtis T. McMullen
Curtis T. McMullen Harvard University
Peter Sarnak
Peter Sarnak Princeton University
Mladen Bestvina
Mladen Bestvina University of Utah
Jens Marklof
Jens Marklof University of Bristol

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