Benjamin Dozier

Benjamin Dozier

Email: benjamin.dozier@cornell.edu

Office: 582 Malott Hall, Cornell University

CV

I am an Assistant Professor in the Mathematics Department at Cornell University. Before coming to Cornell, I was a Simons Instructor (research postdoc) in the math department at Stony Brook University. I received my PhD from Stanford University in 2018 under the direction of Maryam Mirzakhani and Alex Wright.

My research interests include Teichmüller theory, translation surfaces, random surfaces, moduli spaces, hyperbolic geometry, dynamics, and ergodic theory. And I like talking about an even broader range of topics...

Salt Falt: Research Community in Teichmuller dynamics, Salt Lake City, January 2023

Research papers

(with J. Sapir) Simple vs non-simple loops on random regular graphs [arxiv]

(with F. Benirschke and S. Grushevsky) Equations of linear subvarieties of strata of differentials. [journal | arxiv]
Geometry & Topology, 26 (2022), 2773-2830.

Measure bound for translation surfaces with short saddle connections. [arxiv]
Geometric and Functional Analysis, to appear.

(with J. Sapir) Coarse density of subsets of moduli space. [journal | arxiv]
Annales de l'Institut Fourier, 71 (2021) no. 3, 1121-1134.

Equidistribution of saddle connections on translation surfaces. [journal | arxiv] (Images illustrating the theorem)
Journal of Modern Dynamics, 14 (2019), 87-120.

Convergence of Siegel-Veech constants. [journal | arxiv]
Geometriae Dedicata, 198 (2019), 131-142.

Expository papers

Closed geodesics on surfaces. [ journal | pdf]
Snapshots of modern mathematics from Oberwolfach, 13 (2022).

Videos of Talks

June 2020 talk on "Translation surfaces with multiple short saddle connections": Part 1, Part 2, for "Nearly Carbon Neutral Geometric Topology Conference"