Research

1) Critical Exponents on Hyperbolic Surfaces with Long Boundaries and the Asymptotic Weil-Petersson Form, preprint. [arxiv]

Exposition

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.

Undergraduate Research

1) Dynamical moduli spaces and polynomial endomorphisms of configurations (joint with Talia Blum, John Doyle, Trevor Hyde, Colby Kelln, and Max Weinreich), Arnold Math J. 2022 [arxiv]

2) Disjointness of actions on Serre trees, Rose-Hulman Undergraduate Mathematics J. 2021 [link]