Publications and Preprints
- Nonarithmetic hybrid lattices in PU(2,1). Preprint. November 2018. (PDF)
- (with J. Paupert) Hybrid lattices and thin subgroups of Picard modular groups. In review. May 2018. (PDF) (arχiv)
- (with M. Cook, K. Cameron, B. Robinson) Fisher-Rao distances on the covariance cone. Preprint. March 2018. (PDF)
Some Past Talks
Currently, my research is focused around discrete subgroups of complex hyperbolic isometries, and in particular lattices (both arithmetic and non-). I'm interested in finding techniques analogous to "hybridization" (a process produced by Gromov and Piatetski-Shapiro for real hyperbolic lattices) to allow for the construction of new commensurability classes of lattices in PU(n,1).
Animations I've Made
A picture explaining the universal cover of the 2-sphere with a diameter: