Papers

Preprint versions of the published papers are made avaiable here.

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             21. Universal Cannon--Thurston maps and the complex of curves. with Mahan Mj and S. Schleimer, in preparation. slides from a talk at the Ahlfors--Bers Colloquium

             20. The length spectrum of a flat metric. with M. Duchin and K. Rafi, in preparation.

             19. Connectivity of the space of ending laminations. with S. Schleimer, preprint.

             18. Accidental parabolics and mapping class groups, to appear in Proc. Amer. Math. Soc.

             17. Trees and mapping class groups with R. P. Kent IV and S. Schleimer, submitted.

             16. Length and eigenvalue equivalence with D. B. McReynolds, W. D. Neumann., and A. W. Reid to appear in Int. Math. Res. Not. IMRN

             15. The lower central series and pseudo-Anosov dilatations with B. Farb and D. Margalit, to appear in Amer. J. Math..

             14. Subgroups of the mapping class group from the geometrical viewpoint a survey with R. P. Kent IV, In the tradition of Ahlfors--Bers IV, Contemp. Math., 432, Amer. Math. Soc. Providence, RI, 2007.

             13. Uniform convergence in the mapping class group with R. P. Kent IV, to appear in Ergodic Theory and Dynamical Systems.

             12. Kleinian groups with discrete length spectrum, with R. D. Canary, Bull. London Math. Soc. 39 (2007), 189--193.

             11. Shadows of mapping class groups: capturing convex cocompactness, with R. P. Kent IV, to appear in Geom. Funct. Anal..

             10. Separable subgroups of the mapping class group, with D. B. McReynolds, Toplogy Appl. 154 (2007), no 1, 1--10.

             9. Graphs of Veech groups, in preparation.

             8. Abstract commensurators of braid groups, with D. Margalit, J. Algebra 299 (2006), no. 2, 447--455.

             7. A combination theorem for Veech subgroups of the mapping class group, with A. W. Reid, Geom. Funct. Anal. 16 (2006) 403--436.

             6. On groups generated by two positive multi-twists: Teichmüller curves and Lehmer's number, Geom. Topol. 8 (2004) 1301--1359.

             5. Small curvature surfaces in hyperbolic 3-manifolds, J. Knot Theory Ramifications 15 (2006), 379--411.

             4. Equivalent curves in surfaces, Geom. Dedicata 102 (2003), 151--177.

             3. The co-rank conjecture for 3-manifold groups, with A. W. Reid, Algebr. Geom. Topol. 2 (2002), 37--50.

             2. Compressing totally geodesic surfaces, Topology Appl. 118 (2002), 309--328.

             1. Surgeries on one component of the Whitehead link are virtually fibered, Topology 41 (2002), 307--320.

             0. Essential surfaces in hyperbolic three-manifolds, Thesis, U.T. Austin, May 2002