Research
Research
1) Â Random quotients of hyperbolic spaces with respect to WPD actions and linear connectivity of the boundary, 2026, arXiv preprint. With Inhyeok Choi. [arxiv]
2) Dynamical zeta functions and resonance chains for infinite-area hyperbolic surfaces with large funnel widths, 2026. Accepted for publication in Journal of Modern Dynamics. [arxiv]
3) Critical exponents on hyperbolic surfaces with long boundaries and the asymptotic Weil-Petersson form, 2026. Advances in Mathematics, 500, 111061. [arxiv]
4) Weyl-invariant subspaces are (usually) not generic, 2025, arXiv preprint. With Riku Kurama, Ruoxi Li, and Rachel Webb. [arxiv]
1) Maier's Matrix Method [link]
A ~25-page expository paper on Maier's matrix method, a surprisingly powerful double-counting argument that has found use in many problems in analytic number theory.
2) The McKay Correspondence [link]
Slides for a seminar talk I gave on the McKay correspondence in relation to representation theory and resolutions of singularities.
1) Dynamical moduli spaces and polynomial endomorphisms of configurations, 2022. Arnold Mathematical Journal, 8, 285-317. With Talia Blum, John Doyle, Trevor Hyde, Colby Kelln, and Max Weinreich. [arxiv]
2) Disjointness of actions on Serre trees, 2021. Rose-Hulman Undergraduate Mathematics Journal. [link]