Broadly speaking, I study translation surfaces (surfaces where the transition functions are translations). In particular, I study square-tiled ones, which are a special class of translation surfaces that arise as branched covers of the square-torus, branched over a single point. I am interested in knowing both geometric and dynamical properties of these surfaces.
For my thesis, I am studying random construction of surfaces. In particular I am using a combinatorial model for square-tiled surfaces to infer geometrical and topological properties of typical square-tiled surfaces.
Department of Mathematics, Tufts University
503 Boston Ave, Medford, MA 02155
sunrose [dot] shrestha @ tufts [dot] edu
Office: Bromfield Pearson 216