Papers
- Algebra vs. geometry in hyperbolic 3-manifolds
PhD thesis, University of Chicago. 89 pp.
- The Three Gap Theorem and Riemannian Geometry
Joint with Benjamin Schmidt.
Geometriae Dedicata, vol. 136 (2008). 18 pp.
- Geometry and Rank of Fibered Hyperbolic 3-Manifolds
Algebraic and Geometric Topology (2009). 13 pp.
- Algebraic and Geometric Convergence of Discrete Representations into PSL(2,C)
Joint with Juan Souto.
Geometry and Topology (2010). 45 pp.
- A finiteness theorem for closed hyperbolic 3-manifolds
Joint with Juan Souto.
Journal of the London mathematical society (2011). 20 pp.
- Extending pseudo-Anosov maps to compression bodies
Joint with Yair Minsky and Jesse Johnson.
Journal of Topology (2013). 29 pp.
- Rank of mapping tori via the curve complex
Joint with Juan Souto.
Journal fur die reine und angewandte Mathematik (2015). 21 pp.
- Unimodularity of invariant random subgroups
Joint with Omer Tamuz.
Transactions of the AMS (2016). 23 pp.
- Automorphisms of the compression body graph
Joint with Nicholas Vlamis.
Journal of the London Mathematical Society (2017). 25 pp.
- Ends of unimodular random manifolds
Joint with Jean Raimbault.
Proceedings of the AMS (2017). 8 pp.
- 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.
To appear in Annals of Mathematics. 64 pp.
An announcement, published in Comptes Rendus Mathematique (2012), is here.
- Intersection growth in groups
Joint with Khalid Bou-Rabee, Martin Kassabov and Francesco Mattucci.
To appear in Transactions of the AMS. 20 pp.
- Nielsen equivalence in mapping tori over the torus.
To appear in Conformal Geometry and Dynamics. 6 pp.
- On the growth of L2-invariants of locally symmetric spaces, II: exotic invariant random subgroups in rank one
Joint with M. Abert, N. Bergeron, T. Gelander, N. Nikolov, J. Raimbault and I. Samet.
Submitted. 26 pp.
- Unimodular measures on the space of all Riemannian manifolds
Joint with Miklos Abert.
Submitted. 80 pp.
- Packing curves on surfaces with few intersections.
Joint with Tarik Aougab and Jonah Gaster.
Submitted. 8 pp.
- Metrizing the Chabauty topology.
Submitted. 3 pp.
- Determining the finite subgraphs of the curve graph
Joint with Tarik Aougab and Jonah Gaster.
Submitted. 12 pp.
- Invariant random subgroups of semidirect products
Joint with Lewis Bowen and Omer Tamuz.
Submitted. 14 pp.
- Iteration in Schottky space
Joint with Cyril Lecuire. (in preparation)
- Thick hyperbolic 3-manifolds with bounded rank.
Joint with Juan Souto. (in preparation)
