Research
Research
My research is in smooth dynamical systems and ergodic theory. In particular, I am interested in partially hyperbolic dynamical systems and their statistical properties. I am also interested in using tools from geometry and topology to study such systems.
The Bernoulli property for PSL_2R Skew products over exponentially mixing base". In Preparation.
"Smooth Models of Fibered Partially Hyperbolic Systems". With Jon DeWitt and Oliver Wang. (2025), [arXiv]
"Smooth Models for Certain Fibered Partially Hyperbolic Systems", Ergodic Theory and Dynamical Systems. 44 (2023), no. 8, 2173-2198. [arXiv] [DOI]
My PhD thesis [pdf] is an expanded version of this paper.
"On a Very Steep Version of the Standard Map". With Maxim Arnold, Tom Dauer, and Shan-Conrad Wolf. Experimental Mathematics. 27 (2016), no. 1, 93–99. [arXiv] [DOI]