I am interested in low dimensional topology. In particular I have been studying hyperbolic 3-manifolds with non-finitely generated fundamental group. I am also interested in higher Teichmuller Theory and counting problems on surfaces.
Here is my research statement.
Papers and pre-prints:
- A locally hyperbolic 3-manifold that is not hyperbolic December 2017 (published in PAMS);
- Discrete groups without finite quotients with Juan Souto, April 2018 (published in Topology and its Applications);
- Hyperbolization on infinite type 3-manifolds; in preparation.