README.md

Position:

I am a third year PhD student in pure mathematics in Université Paris Diderot under the direction of Xiaonan Ma.

Research interests:

I am mainly interested in global analysis on manifolds, local Atiyah-Singer theory, Riemann surfaces, flat surfaces, moduli spaces, dynamics and L² invariants.

In my thesis I have studied the properties of holomorphic analytic torsion on complex manifolds. More precisely, I've worked on the analytic torsion on the non-compact surfaces, admitting hyperbolic cusps.