I am interested in Geometric Topology, Geometric Group Theory, Ergodic Theory and Dynamics. In particular; 

• Mapping class groups, Teichmüller spaces, Moduli spaces, Geodesic currents on surfaces

• Out(FN), Culler-Vogtmann's Outer Space, Geometry of free factor and free splitting complexes, Geodesic currents on free groups

• Veech Surfaces, Quadratic and Abelian Differentials, Dynamics on translation surfaces

• Substitutions and symbolic dynamics 

• Random walks on groups and spaces, hyperbolic groups

• Kleinian groups, representations of free and surface groups