Research Interests
Research Interests
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My research is largely centered around arithmetic groups and their subgroups, and character varieties. I am interested in connections between these objects and low-dimensional topology, hyperbolic geometry and dynamics.
Publications and Preprints
Publications and Preprints
Integral Zariski dense surface groups in SL(n,R). Math. Proc. Cambridge Philos. Soc. 179 (2025) no. 1, 63–78. (arXiv)
Rational approximation for Hitchin representations (with Jacques Audibert). Groups Geom. Dyn. (2026). (arXiv)
A family of accumulation points of non-free rational numbers (with Christopher (Bobby) Buyalos*, Jayden Thadani*, Xinbei Wang* and Bradley Zykoski), submitted (2025). (arXiv)
Thin surface subgroups of non-uniform arithmetic lattices in SO^+(n,1) (with Sara Edelman-Muñoz), submitted (2026). (arXiv)
(* indicates undergraduate author)
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