I am a third year PhD student in pure mathematics in Université Paris Diderot under the direction of Xiaonan Ma.
I am mainly interested in global analysis on manifolds, Atiyah-Singer theorem, local index theory, Riemann surfaces, flat surfaces, moduli spaces, dynamics and L2 invariants.
Recently I also became interested in the spectral behavior of metrized simplicial approximations of a Riemannian manifold when the mesh of the approximation goes to zero.
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.