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. Journal of Topology (2013).
On the growth of L2-invariants for sequences of lattices in Lie groups. Arxiv
Joint with M. Abert, N. Bergeron, T. Gelander, N. Nikolov, J. Raimbault and I. Samet.
A research announcement is available here.
Intersection growth in groups.
Joint with Khalid Bou-Rabee, Martin Kassabov and Francesco Mattucci.
Unimodularity of invariant random subgroups.
Joint with Omer Tamuz.
Rank of mapping tori via the curve complex.
Joint with Juan Souto.
Rank and topology of hyperbolic 3-manifolds.
Joint with Juan Souto. (in preparation)
Invariant measures on the space of all Riemannian manifolds.
Joint with Miklos Abert. (in preparation)