Alex Eskin

Q: What Schools Are Affiliated With Alex Eskin

Alex Eskin is affiliated with the following schools: Samara State Aerospace University, Kazan Federal University, Princeton University, University of Chicago, Stanford University

Alex Eskin's AcademicInfluence.com Rankings

Alex Eskin

Mathematics

#1537

World Rank

#2503

Historical Rank

#626

USA Rank

Measure Theory

#3830

World Rank

#4516

Historical Rank

#1093

USA Rank

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Mathematics

Alex Eskin's Degrees

PhD Mathematics Princeton University
Bachelors Mathematics Princeton University

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Why Is Alex Eskin Influential?

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According to Wikipedia, Alex Eskin is an American mathematician. He is the Arthur Holly Compton Distinguished Service Professor in the Department of Mathematics at the University of Chicago. His research focuses on rational billiards and geometric group theory.

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Alex Eskin's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

Mixing, counting, and equidistribution in Lie groups (1993) (352)
Isolation, equidistribution, and orbit closures for the SL(2,R) action on Moduli space (2013) (261)
Invariant and stationary measures for the SL(2,R) action on Moduli space (2013) (218)
Moduli spaces of Abelian differentials: The principal boundary, counting problems, and the Siegel–Veech constants (2002) (202)
Asymptotics of numbers of branched coverings of a torus and volumes of moduli spaces of holomorphic differentials (2000) (199)
UPPER BOUNDS AND ASYMPTOTICS IN A QUANTITATIVE VERSION OF THE OPPENHEIM CONJECTURE (1998) (187)
Asymptotic formulas on flat surfaces (2001) (165)
Sum of Lyapunov exponents of the Hodge bundle with respect to the Teichmüller geodesic flow (2011) (164)
Unipotent flows and counting lattice points on homogeneous varieties (1996) (149)
Quasi-flats and rigidity in higher rank symmetric spaces (1997) (116)
On uniform exponential growth for linear groups (2001) (112)
Coarse differentiation of quasi-isometries I: Spaces not quasi-isometric to Cayley graphs (2006) (110)
Billiards in rectangles with barriers (2001) (90)
Quasi-isometries and rigidity of solvable groups (2005) (88)
Lattice Point Asymptotics and Volume Growth on Teichmuller space. (2006) (79)
Quadratic forms of signature (2, 2) and eigenvalue spacings on rectangular 2-tori (2005) (74)
Non-divergence of translates of certain algebraic measures (1997) (67)
Every flat surface is Birkhoff and Oseledets generic in almost every direction (2013) (65)
Counting closed geodesics in moduli space (2008) (65)
The theta characteristic of a branched covering (2003) (63)
Symplectic and Isometric SL(2,R) invariant subbundles of the Hodge bundle (2012) (61)
Coarse differentiation of quasi-isometries II: Rigidity for Sol and Lamplighter groups (2007) (61)
Lyapunov spectrum of square-tiled cyclic covers (2010) (61)
Quasi-isometric rigidity of nonuniform lattices in higher rank symmetric spaces (1998) (59)
Invariant and stationary measures for the action on Moduli space (2018) (57)
Unipotent flows on the space of branched covers of Veech surfaces (2004) (50)
Right-angled billiards and volumes of moduli spaces of quadratic differentials on CP (2012) (48)
Pillowcases and quasimodular forms (2005) (47)
Ergodic theoretic proof of equidistribution of Hecke points (2004) (45)
The algebraic hull of the Kontsevich--Zorich cocycle (2017) (45)
Right-angled billiards and volumes of moduli spaces of quadratic differentials on $\mathbb{C}P^1$ (2012) (40)
Billiards, quadrilaterals and moduli spaces (2020) (30)
A proof of Siegel's weight formula (1991) (27)
Large-scale rank of Teichmüller space (2013) (25)
Representations of integers by an invariant polynomial and unipotent flows (2004) (24)
Counting closed geodesics in strata (2012) (23)
Lower bounds for Lyapunov exponents of flat bundles on curves (2016) (22)
Effective counting of simple closed geodesics on hyperbolic surfaces (2019) (21)
Volumes of Strata of Abelian Differentials and Siegel–Veech Constants in Large Genera (2015) (19)
Filling boundaries of coarse manifolds in semisimple and solvable arithmetic groups (2011) (19)
A coding-free simplicity criterion for the Lyapunov exponents of Teichmüller curves (2012) (17)
Counting generalized Jenkins–Strebel differentials (2012) (15)
Chapter 9 - Counting Problems in Moduli Space (2006) (14)
Singular symmetric matrices (1995) (14)
Möbius disjointness for interval exchange transformations on three intervals (2016) (14)
Quasi-isometric Rigidity of Solvable Groups (2011) (12)
Catalytic Combustion of Heavy Oil in the Presence of Manganese-Based Submicroparticles in a Quartz Porous Medium (2017) (12)
Counting lattice points on homogeneous spaces (1993) (11)
Unique Ergodicity of Translation Flows (2006) (10)
Unipotent Flows and Applications (2013) (9)
Projective cocycles over SL(2,R) actions: measures invariant under the upper triangular group (2017) (9)
Slow Divergence and Unique Ergodicity (2007) (8)
On a quantitative version of the Oppenheim conjecture (1995) (8)
Counting Problems in Moduli Space (2012) (6)
ZARISKI DENSE RANDOM WALKS ON HOMOGENEOUS SPACES (2017) (4)
Rigidity of Teichmüller space (2015) (3)
Energy Levels of Mesomolecular Ions of Hydrogen in Variational Approach (2019) (3)
Bound states of dtμ, pdμ and t pμ mesomolecules (2019) (3)
Hadronic deuteron polarizability contribution to the Lamb shift in muonic deuterium (2015) (3)
Excited States of the dtμ, pdμ, and tpμ Mesomolecules in the Variational Method (2019) (3)
Energy levels of three particle muonic ions (μeLi), (μeBe), (μeB) (2020) (3)
Hadronic deuteron polarizability contribution the hyperfine structure in muonic deuterium (2017) (2)
Self-joinings for 3-IETs (2018) (2)
Semisimplicity of the Lyapunov spectrum for irreducible cocycles (2013) (1)
Centrifugal Pump Effect on Average Particle Diameter of Oil-Water Emulsion (2017) (1)
Maryam Mirzakhani: 1977–2017 (2018) (1)
Conformal transformations and string field redefinitions (1988) (1)
Weakly bound states of dtμ muonic molecular ion in quantum electrodynamics (2019) (1)
Fine and Hyperfine Structure of Muonic Helium (2020) (1)
Nonrelativistic energies and predissociation widths of quasibound states in the Li3+-dμ molecular ions (2019) (1)
Unipotent Flows and Applications Lecture Notes for Clay Institute Summer School (2007) (1)
Geometric properties of partially hyperbolic measures and applications to measure rigidity (2023) (1)
A coding-free simplicity criterion for the Lyapunov exponents of Teichmüller curves (2015) (0)
Parafermion correlation functions on Riemann surfaces (1989) (0)
Volumes of Strata of Abelian Differentials and Siegel–Veech Constants in Large Genera (2015) (0)
Workshop : Flat Surfaces and Dynamics on Moduli Space Table of Contents (2015) (0)
Counting closed geodesics in strata (2018) (0)
A ug 2 00 1 Uniform Exponential Growth for Linear Groups (2008) (0)
Semisimplicity of the Lyapunov spectrum for irreducible cocycles (2019) (0)
Sum of Lyapunov exponents of the Hodge bundle with respect to the Teichmüller geodesic flow (2013) (0)
Counting generalized Jenkins–Strebel differentials (2013) (0)
2 8 Ju l 2 00 1 Billiards in rectangles with barriers (2008) (0)
D S ] 2 5 M ay 2 00 5 Pillowcases and quasimodular forms (2005) (0)
Schedule of talks (2016) (0)
Catégories dérivées et variétés de Deligne-Lusztig . Moduli spaces of Abelian differentials : the principal boundary counting problems, and the Siegel-Veech constants . Convexes hyperboliques et fonctions quasisymétriques . The Connes-Kasparov conjecture for almost connected groups and for linear p- (2003) (0)
ON A QUANTITATIVE VERSION OF THE OPPENHEIMCONJECTURE (1995) (0)
The correction of hadronic nucleus polarizability to hyperfine structure of light muonic atoms (2017) (0)
G R / 0 51 16 47 v 3 7 J ul 2 00 6 QUASI-ISOMETRIES AND RIGIDITY OF SOLVABLE GROUPS (2006) (0)
Invariant and stationary measures for the action on Moduli space (2018) (0)
Fine and Hyperfine Structure of Muonic Helium (2020) (0)
Energy levels in muonic helium (2019) (0)
Hyperfine structure of muonic mesomolecules tdµ, tpµ, dpµ in variational method (2019) (0)
A. Eskin - Counting closed geodesics on translation surfaces (2018) (0)

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What Schools Are Affiliated With Alex Eskin?

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Alex Eskin's Academic­Influence.com Rankings