Papers

Preprint versions of the published papers are made avaiable here.

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             27. Commensurators of non-free finitely generated Kleinian groups, with D. Long and A. Reid, preprint.

             26. Small dilatation pseudo-Anosovs and 3-manifolds. with B. Farb and D. Margalit, preprint.

             25.Two-generator subgroups of the pure braid group, with D. Margalit, to appear in Geom. Dedicata.

             24.Injections of mapping class groups with J. Aramayona and J. Souto, Geometry & Topology 13 (2009) 2523--2541.

             23.A fake Schottky group in Mod(S) with R. P. Kent IV, to appear in Proceedings of the Ahlfors--Bers Colloquium.

             22.One-ended subgroups of right-angled Artin groups, preprint (4 pages).

             21. The universal Cannon--Thurston map and the boundary of the curve complex. with Mahan Mj and S. Schleimer, preprint. slides from a talk at the Ahlfors--Bers Colloquium

             20.Length spectra and degeneration of flat metrics. with M. Duchin and K. Rafi, preprint.

             19. Connectivity of the space of ending laminations. with S. Schleimer, Duke Math. J. 150 (2009) no. 3, 533--575.

             18. Accidental parabolics and mapping class groups, Proc. Amer. Math. Soc. 137 (2009) no. 3, 1153--1160.

             17. Trees and mapping class groups with R. P. Kent IV and S. Schleimer, to appear J. Reine Angew Math.

             16. Length and eigenvalue equivalence with D. B. McReynolds, W. D. Neumann., and A. W. Reid, Int. Math. Res. Not. volume 2007, article ID rnm135, 24 pages, doi:10.1093/imrn/rnm135.

             15. The lower central series and pseudo-Anosov dilatations with B. Farb and D. Margalit, Amer. J. Math. 130 (2008), no. 3, 799-827.

             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, Ergodic Theory and Dynamical Systems (2008), 28, 1177--1195.

             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, Geom. Funct. Anal. 18 (2008), 1270--1325.

             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