David Aulicino

Research Interests:  My research lies at the intersection of Geometry and Dynamical Systems. Flat surfaces with rational cone angle are the primary objects that I study. These include translation surfaces, i.e. Riemann surfaces carrying a holomorphic 1-form, \(k\)-differentials, which include rational billiards and rational polyhedra, and meromorphic differentials with higher order poles on Riemann surfaces. I have studied counting problems on translation surfaces, \(\text{SL}_2(\mathbb{R})\)-orbit closures in the moduli space of translation surfaces, and the Lyapunov exponents of the Kontsevich-Zorich cocycle.

Last Updated: April 20, 2024