Algebra vs. geometry in hyperbolic 3-manifolds. pdf
PhD thesis, University of Chicago.
The Three Gap Theorem and Riemannian Geometry,
Joint with Benjamin Schmidt. Geometriae Dedicata, vol. 136 (2008).
Geometry and Rank of Fibered Hyperbolic 3-Manifolds,
Algebr. Geom. Topol. 9 (2009).
Algebraic and Geometric Convergence of Discrete Representations into PSL(2,C),
Joint with Juan Souto. Geometry and Topology 14 (2010).
A finiteness theorem for closed hyperbolic 3-manifolds.
Joint with Juan Souto. Journal of the London mathematical society (2011).
Extending pseudo-Anosov maps to compression bodies.
Joint with Yair Minsky, Jesse Johnson. (to appear in Journal of Topology)
Intersection growth in groups.
Joint with Khalid Bou-Rabee, Martin Kassabov and Francesco Mattucci. (in preparation)
On the growth of L2-invariants for sequences of lattices in Lie groups.
Joint with M. Abert, N. Bergeron, T. Gelander, N. Nikolov, J. Raimbault and I. Samet. (submitted)
A preprint is available here and a research announcement here.
Rank and topology of hyperbolic 3-manifolds.
Joint with Juan Souto. (in preparation)