5 citations · 13 across the 10 of their papers we have counts for
10 papers
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…
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…
Moduli spaces of complex affine and dilation surfaces
Paul Apisa, Matt Bainbridge, Jane Wang
We construct moduli spaces of complex affine and dilation surfaces. Using ideas of Veech, we show that the the moduli space of affine surfaces with fixed genus and with cone points…
The Realization Problem for Dilation Surfaces
Jane Wang
Dilation surfaces, or twisted quadratic differentials, are variants of translation surfaces. In this paper, we study the question of what elements or subgroups of the mapping class…
Slope Gap Distributions of Veech Surfaces
Luis Kumanduri, Anthony Sanchez, Jane Wang
The slope gap distribution of a translation surface is a measure of how random the directions of the saddle connections on the surface are. It is known that Veech surfaces, a highl…
A Full Study of the Dynamics on One-Holed Dilation Tori
Mason Haberle, Jane Wang
An open question in the study of dilation surfaces is to determine the typical dynamical behavior of the directional flow on a fixed dilation surface. We show that on any one-holed…