A. Eskin

Geometry and Topology · 2000–2018

A researcher in the Science corpus: 20 papers; trusts 37 researchers and is trusted by 49 researchers here, as inferred from the citation graph.

Subfields

• Geometry and Topology — 122 citations into it; #318 of 7,422 by trust here, #187 by citations
• Mathematical Physics — 116 citations into it; #251 of 8,562 by trust here, #116 by citations
• Applied Mathematics — 33 citations into it; #880 of 7,620 by trust here, #645 by citations
• Statistical and Nonlinear Physics — 20 citations into it; #4,243 of 10,127 by trust here, #6,421 by citations
• Discrete Mathematics and Combinatorics — 17 citations into it; #432 of 2,017 by trust here, #306 by citations
• Computational Theory and Mathematics — 14 citations into it; #1,488 of 12,182 by trust here, #1,936 by citations
• Algebra and Number Theory — 7 citations into it
• Computational Mechanics — 7 citations into it

Whom A. Eskin trusts overall

Their strongest outbound trust, strongest first, inferred from their citations.

1. G. Forni
2. A. Zorich
3. M. Kontsevich
4. Artur Avila
5. A. Okounkov
6. Curtis T. McMullen
7. Benson Farb
8. Dave Witte Morris
9. Lee Mosher
10. H. Masur

Who trusts A. Eskin overall

1. Dawei Chen
2. Maryam Mirzakhani
3. G. Forni
4. Matt Bainbridge
5. Harald Andrés Helfgott
6. Martin Möller
7. Martin Moeller
8. A. Zorich
9. A. Wright
10. Carlos Matheus

Papers from A. Eskin's perspective

Ordered by how strongly the researchers A. Eskin trusts endorse each paper. Same corpus, a different order for every researcher.

1. The theta characteristic of a branched covering
2. Rational billiards and flat structures
3. SQUARE-TILED CYCLIC COVERS
4. A geometric criterion for the non-uniform hyperbolicity of the Kontsevich--Zorich cocycle
5. Connected components of the moduli spaces of Abelian differentials with prescribed singularities
6. Flat Surfaces
7. Lyapunov spectrum of square-tiled cyclic covers
8. Invariants of translation surfaces
9. Simplicity of Lyapunov spectra: proof of the Zorich-Kontsevich conjecture
10. Geometry of the Weil-Petersson completion of Teichm\

Their papers

• On uniform exponential growth for linear groups (2001) — 127 citations
• Asymptotic formulas on flat surfaces (2001) — 175 citations
• Invariant and stationary measures for the action on Moduli space (2018) — 88 citations
• The algebraic hull of the Kontsevich--Zorich cocycle (2017) — 54 citations
• Isolation, equidistribution, and orbit closures for the SL(2,R) action on Moduli space (2013) — 310 citations
• Invariant and stationary measures for the SL(2,R) action on Moduli space (2013) — 258 citations
• Every flat surface is Birkhoff and Oseledets generic in almost every direction (2013) — 76 citations
• Symplectic and Isometric SL(2,R) invariant subbundles of the Hodge bundle (2012) — 68 citations
• Sum of Lyapunov exponents of the Hodge bundle with respect to the Teichmüller geodesic flow (2011) — 178 citations
• Lyapunov spectrum of square-tiled cyclic covers (2010) — 64 citations
• Coarse differentiation of quasi-isometries II: Rigidity for Sol and Lamplighter groups (2007) — 73 citations
• Lattice Point Asymptotics and Volume Growth on Teichmuller space. (2006) — 90 citations
• Coarse differentiation of quasi-isometries I: Spaces not quasi-isometric to Cayley graphs (2006) — 132 citations
• Quasi-isometries and rigidity of solvable groups (2005) — 94 citations
• Quadratic forms of signature (2, 2) and eigenvalue spacings on rectangular 2-tori (2005) — 87 citations
• Pillowcases and quasimodular forms (2005) — 54 citations
• Ergodic theoretic proof of equidistribution of Hecke points (2004) — 48 citations
• The theta characteristic of a branched covering (2003) — 73 citations
• Moduli spaces of Abelian differentials: The principal boundary, counting problems, and the Siegel–Veech constants (2002) — 224 citations
• Asymptotics of numbers of branched coverings of a torus and volumes of moduli spaces of holomorphic differentials (2000) — 226 citations