Research papers — in chronological order

  1. Geodesics Currents and Counting Problems
    (With Juan Souto) [pdf]

  2. Isomorphisms between big mapping class groups
    (With Juliette Bavard and Spencer Dowdall) [pdf]

  3. Convexity of balls in the outer space
    (With Yulan Qing) [pdf]

  4. Limit sets of Weil-Petersson geodesics
    (With Jeffrey Brock, Chris Leininger and Babak Modami) [pdf]

  5. Coarse and fine geometry of the Thurston metric
    (With David Dumas, Anna Lenzhen and Jing Tao) [pdf]

  6. Two-dimensional limit sets of Teichmüller geodesics
    (With Babak Modami and Anna Lenzhen) [pdf]

  7. Algebraic ending laminations and quasi-convexity
    (With Mahan Mj) [pdf]

  8. Rigidity of Teichmüller space.
    (With Alex Eskin and Howard Masur) [pdf]

  1. Uniform fellow traveling between surgery paths in the sphere graph
    (With Matt CLay and Yulan Qing)
    to appear in Algebraic and Geometric Topology. [pdf]

  2. Non-convex balls in the Teichmüuller metric
    (With Maxime Fortier Bourque)
    to appear in Journal of Differential Geometry. [pdf]

  3. Limit sets of Teichmüller geodesics with minimal nonuniquely ergodic vertical foliation, II
    (With Jeffrey Brock, Chris Leininger and Babak Modami)
    to appear in Journal f$uuml;r reine und angewandte Mathematik (Crelle's Journal). [pdf]

  4. Counting geodesics in a stratum.
    (With Alex Eskin and Maryam Mirzakhani)
    To appear in Inventiones Mathematicae pending revisions. [pdf]

  5. Limit sets of Teichmüller geodesics with minimal non-uniquely ergodic vertical foliation.
    (With Christopher Leininger and Anna Lenzhen)
    To appear in Crelle's Journal. [pdf]

  1. Large scale rank of Teichmüller space.
    (With Alex Eskin and Howard Masur)
    Duke Math. J. 166 (2017), no. 8, 1517--1572. [pdf]

  2. Uniform growth rate.
    (With Jing Tao)
    Proc. Amer. Math. Soc. 144 (2016), no. 4, 1415--1427. [pdf]

  3. The shadow of a Thurston geodesic to the curve graph.
    (With Anna Lenzhen and Jing Tao)
    J. Topol. 8 (2015), no. 4, 1085--1118. [pdf]

  4. Digraphs and cycle polynomials for free-by-cyclic groups.
    (With Yael Algom-Kfir and Eriko Hironaka)
    Geom. Topol. 19 (2015), no. 2, 1111--1154. [pdf]

  5. Mapping tori of small dilatation irreducible train-track maps.
    (With Yael Algom-Kfir)
    Topology and its Applications 180 (2015) 44--63. [pdf]

  6. Uniform hyperbolicity of the curve graph via surgery sequences.
    (With Matt Clay and Saul Schleimer)
    Algebraic & Geometric Topology 14-6 (2014), 3325--3344. [pdf]

  7. Hyperbolicity in Teichmüller space.
    Geometry & Topology 18-5 (2014) 3025--3053. [pdf]

  8. On hyperbolicity of free splitting and free factor complexes.
    (With Ilya Kapovich)
    Groups Geom. Dyn. 8 (2014) no. 2, 391--414. [pdf]

  9. Diameter of the thick part of moduli space and simultaneous Whitehead moves.
    (With Jing Tao)
    Duke Math. J. 162 (2013), no. 10, 1833-1876. [pdf]

  10. Bounded combinatorics and the Lipschitz metric on Teichmüller space.
    (With Anna Lenzhen and Jing Tao)
    Geom. Dedicata 159 (2012), 353-371. [pdf]

  11. Length of a curve is quasi-convex along a Teichmüller geodesic.
    (With Anna Lenzhen)
    J. Differential Geom. 88 (2011), no. 2, 267-295. [pdf]

  12. Curve complexes with connected boundary are rigid.
    (With Saul Schleimer)
    Duke Math. J. 158 (2011), no. 2, 225-246. [pdf]

  13. Grafting rays fellow travel Teichmüller geodesics.
    (With Young-Eun Choi and David Dumas)
    Int. Math. Res. Not. IMRN (2011). [pdf]

  14. Length spectra and degeneration of flat metrics.
    (With Moon Duchin and Christopher Leininger)
    Invent. Math. 182 (2010), no. 2, 231-277. [pdf]

  15. Divergence rate of geodesics in Teichmüller space and mapping class groups.
    (With Moon Duchin)
    Geom. Funct. Anal. 19 (2009), no. 3, 722-742. [pdf]

  16. Covers and the curve complex.
    (With Saul Schleimer)
    Geom. Topol. 13 (2009), no. 4, 2141-2162. [pdf]

  17. Lines of minima and Teichmüller geodesics.
    (With Young-Eun Choi and Caroline Series)
    Geom. Funct. Anal. 18 (2008), no. 3, 698-754. [pdf]

  18. Lines of minima are uniformly quasi-geodesic.
    (With Young-Eun Choi and Caroline Series)
    Pacific J. Math. 237 (2008), no. 1, 21-44. [pdf]

  19. Comparison between Teichmüller and Lipschitz metrics.
    (With Young-Eun Choi)
    J. Lond. Math. Soc (2) 76 (2007), no. 3, 739-756. [pdf]

  20. A combinatorial model for the Teichmüller metric.
    Geom. Funct. Anal. 17 (2007), no. 3, 936-959. [pdf]

  21. Thick-thin decomposition for quadratic differentials.
    Math. Res. Lett. 14 (2007), no. 2, 333-341. [pdf]

  22. A characterization of short curves of a geodesic in Teichmüller space.
    Geom. Topol. 9 (2005), 179-202. [pdf]