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)
International Mathematics Research Notices (2020), no. 10, 3084--3099
[pdf]
Geodesics Currents and Counting Problems
(With Juan Souto)
Geom. Funct. Anal. 29 (2019), no. 3, 871--889
[pdf]
Geodesics in the Mapping Class Group
(With Yvon Verberne)
[pdf]
Centralizers in Mapping Class Group and decidability of Thurston Equivalence
(With Nikita Selinger and Michael Yampolsky)
to appear in Arnold Mathematical Journal
[pdf]
Large Scale Geometry of Big Mapping Class Groups
(With Kathryn Mann)
[pdf]
Big mapping class groups with hyperbolic actions: classification and applications
(With Camillie Horbez and Yulan Qing)
[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)
Forum of Mathematics, Sigma (2020), Vol. 8, e28, 58 pages
[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]
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 Jeffrey Brock, Chris Leininger and Babak Modami)
Int. Math. Res. Not. IMRN (2019), no. 24, 7604--7658.
[pdf]
Limit sets of Teichmüller geodesics with minimal
nonuniquely ergodic vertical foliation, II
(With Jeffrey Brock, Chris Leininger and Babak Modami)
Journal für reine und angewandte Mathematik, 758 (2020), 1--66
[pdf]
Limit sets of Weil-Petersson geodesics with nonminimal ending laminations
(With Jeffrey Brock, Chris Leininger and Babak Modami)
J. Topol. Anal. 12 (2020), no. 1, 1--28
[pdf]
Centralizers in Mapping Class Group and decidability of Thurston Equivalence
(With Nikita Selinger and Michael Yampolsky)
to appear in Arnold Mathematical Journal
[pdf]
Local maxima of the systole function
(With Maxime Fortier Bourque)
[pdf]
Renormalizing an infinite rational IET
(With W. Patrick Hooper and Anja Randecker)
[pdf]