Benjamin Dozier

Benjamin Dozier is an Assistant Professor in the Department of Mathematics at Cornell University. His research focuses on dynamical systems, Riemann surfaces, and their moduli spaces, with an emphasis on the interplay between dynamics on individual surfaces and abstract questions about moduli spaces. He has explored connections to algebraic geometry, hyperbolic geometry, and probability theory. Dozier's work includes studies on translation surfaces, compactifications of moduli spaces, and equidistribution of saddle connections. His publications include contributions to the understanding of linear subvarieties of strata of differentials and Siegel-Veech constants. He teaches courses in complex analysis and topics in geometry.

Benjamin Dozier is an Assistant Professor at Cornell University, specializing in the study of translation surfaces and moduli spaces. His research focuses on the geometric and dynamical properties of these surfaces, including the distribution of saddle connections, the structure of strata of differentials, and the behavior of geodesics. He investigates the equidistribution of saddle connections, the convergence of Siegel–Veech constants, and the coarse density of subsets within moduli space. His work also explores the relationship between simple and non-simple loops on random regular graphs and the compactifications of strata of differentials.