Research

My research is in hyperbolic geometry, Teichmüller theory, and Morse theory on moduli spaces. Recently I have been studying the Morse homology of M_{g,n} and M_{g,n} bar through the sys_T functions.

Papers:

1. (preprint) C^2-Morse functions on M_{g,n} bar

2. (preprint) No low index critical points for the systole function and sys_T functions in large M_{g,n}