Large scale rank of Teichmüller space.
(With Alex Eskin and Howard Masur)
Duke Math. J. 166 (2017), no. 8, 1517--1572.
[pdf]
Isomorphisms between big mapping class groups
(With Juliette Bavard and Spencer Dowdall)
[pdf]
Geodesics Currents and Counting Problems
(With Juan Souto)
Geom. Funct. Anal. 29 (2019), no. 3, 871--889
[pdf]
Curve complex
Covers and the curve complex
(With Saul Schleimer)
Geom. Topol. 13 (2009), no. 4, 2141-2162.
[pdf]
Curve complexes are rigid.
(With Saul Schleimer)
Duke Math. J. 158 (2011), no. 2, 225-246.
[pdf]
Uniform hyperbolicity of the curve graph via surgery sequences
(With Matt Clay and Saul Schleimer)
Algebraic & Geometric Topology 14-6 (2014), 3325--3344.
[pdf]
Isomorphisms between big mapping class groups
(With Juliette Bavard and Spencer Dowdall)
to appear in International Mathematics Research Notices
[pdf]
Thurston metric on
Teichmüler space
Comparison between Teichmüller and Lipschitz metrics
(With Young-Eun Choi)
J. Lond. Math. Soc (2) 76 (2007), no. 3, 739-756.
[pdf]
Bounded combinatorics and the Lipschitz metric on Teichmüller space
(With Anna Lenzhen and Jing Tao)
Geom. Dedicata 159 (2012), 353-371.
[pdf]
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]
Coarse and fine geometry of the Thurston metric
(With David Dumas, Anna Lenzhen and Jing Tao)
[pdf]
Geodesics Currents and Counting Problems
(With Juan Souto)
Geom. Funct. Anal. 29 (2019), no. 3, 871--889
[pdf]
Notions of straight lines in
Teichmüler space
A characterization of short curves of a geodesic in Teichmüller space
Geom. Topol. 9 (2005), 179-202.
[pdf]
Lines of minima are uniformly quasi-geodesic
(With Young-Eun Choi and Caroline Series)
Pacific J. Math. 237 (2008), no. 1, 21-44.
[pdf]
Lines of minima and Teichmüller geodesics
(With Young-Eun Choi and Caroline Series)
Geom. Funct. Anal. 18 (2008), no. 3, 698-754.
[pdf]
Grafting rays fellow travel Teichmüller geodesics
(With Young-Eun Choi and David Dumas)
Int. Math. Res. Not. IMRN (2011).
[pdf]
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]
Outer space and outer
automorphism groups of free groups
On hyperbolicity of free splitting and free factor complexes
(With Ilya Kapovich)
Groups Geom. Dyn. 8 (2014) no. 2, 391--414.
[pdf]
Mapping tori of small dilatation irreducible train-track maps
(With Yael Algom-Kfir)
Topology and its Applications 180 (2015) 44--63
[pdf]
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]
Uniform fellow traveling between surgery paths in the sphere graph
(With Matt Clay and Yulan Qing)
Algebraic & Geometric Topology 17 (2017) 3751-3778.
[pdf]
Convexity of balls in the outer space
(With Yulan Qing)
[pdf]
Quasi-geodesics in Out(F_n) and their shadows in sub-factors
(With Yulan Qing)
[pdf]
Limit set of a Teichmüller geodesic
Limit sets of Teichmüller geodesics with minimal non-uniquely ergodic vertical foliation.
(With Christopher Leininger and Anna Lenzhen)
J. Reine Angew. Math. 737 (2018), 1--32 (Crelle's Journal).
[pdf]
Limit sets of Teichmüller geodesics with minimal
nonuniquely ergodic vertical foliation, II
(With Jeffrey Brock, Chris Leininger and Babak Modami)
to appear in Journal für reine und angewandte Mathematik (Crelle's Journal).
[pdf]
Limit sets of Weil-Petersson geodesics
(With Jeffrey Brock, Chris Leininger and Babak Modami)
International Mathematics Research Notices
Advance Access publication on February 9, 2018, doi:10.1093/imrn/rny002
[pdf]
Teichmüller geodesics with d-dimensional limit sets
(With Babak Modami and Anna Lenzhen)
Journal of Modern Dynamics 12 (2018) 261--283.
[pdf]
Limit sets of Weil-Petersson geodesics with nonminimal ending laminations
(With Jeffrey Brock, Chris Leininger and Babak Modami)
to appear in Journal of Topology and Analysis
[pdf]