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);
- Hyperbolicity of links complements in Seifert fibered spaces with José Andrés Rodríguez Migueles, December 2018, pre-print, submitted.
- A locally hyperbolic 3-manifold that is not homotopy equivalent to any
hyperbolic 3-manifold, December 2019, pre-print, submitted.
- Hyperbolization of infinite type 3-manifolds; April 2019, pre-print, submitted.
- On volumes and filling collections of multicurves; Fall 2019, pre-print.
- Deformation Spaces of Infinite type 3-manifolds; in preparation.