2 papers
math.AG2025
Holonomy of affine surfaces
Paul Apisa, Matt Bainbridge, Jane Wang
We identify the moduli space of complex affine surfaces with the moduli space of regular meromorphic connections on Riemann surfaces and show that it satisfies a corresponding univ…
math.DS2024
An Effective Slope Gap Distribution for Lattice Surfaces
Tariq Osman, Joshua Southerland, Jane Wang
We prove an effective slope gap distribution result first for the square torus and then for general lattice translation surfaces. As a corollary, we obtain a dynamical proof for an…