Publications and Preprints
- Non-arithmetic hybrid lattices in PU(2,1). In review. May 2019. (PDF) (arχiv)
- (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)
- Hybrid subgroups of complex hyperbolic isometries. PhD Thesis. May 2019. (PDF)
Click here for an Overleaf file containing open questions that I have.
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: