Benjamin Dozier

Benjamin Dozier

Email: benjamin.dozier@cornell.edu

Office: 507 Malott Hall, Cornell University

CV

I'm an Assistant Professor in the Mathematics Department at Cornell. Before coming here, 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...

My research is supported in part by NSF Grant DMS-2247244, and by the Simons Foundation.

Research papers

(with S. Grushevsky, and an appendix by M. Lee ) Ends of the strata of differentials. [arxiv]

(with F. Benirschke and J. Abou Rached) The boundary of a totally geodesic subvariety of moduli space. [arxiv | pdf]

(with J. Sapir) Counting geodesics on expander surfaces. [arxiv | pdf]

(with J. Sapir) Simple vs non-simple loops on random regular graphs. [journal | arxiv]
Journal of Graph Theory, 105 (2024), no. 5, 562-579.

(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. [journal | arxiv]
Geometric and Functional Analysis, 33 (2023), no. 2, 421-467.

(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.

(wrote Appendix to) Uniform distribution of saddle connection lengths in all SL(2,R) orbits, by Donald Robertson. [journal]
Geometriae Dedicata 217 (2023), no. 4, 65.