As I mention on the home page, my main mathematical interests are in Ergodic Theory, (Analytic) Number Theory, and Geometry. Broadly speaking, I am intrigued by connections that exist between these fields. My research projects to date have come from across these fields and others, including Differential Topology, Convex Analysis, and more.
Extremizers of the J functional with respect to the d_1 metric; joint with Sam Bachhuber, Benjamin Christophel, and Tamás Darvas (Analysis Mathematica 48 (2022), no. 2, 307-330)
None (...for now)