My research is in hyperbolic geometry, Teichmüller theory and Morse theory. Recently I have been studying the topology of moduli of curves and their Deligne-Mumford compactification via Morse theory and hyperbolic geometry.
Papers:
(to be updated soon)
(preprint) Morse theory on moduli of curves
(preprint) Low Morse index for the systole function
Orthosystole on ideal polygons, with Samuel Dochies and Maxime Fortier Bourque