Maximal Estimates for Perturbations of the Schrödinger Operator on Tori (joint with Taylor Tan) [pdf][arXiv]. August 2026.
Cusp Excursions, Lattice Points on Manifolds, and the Mizohata-Takeuchi Conjecture [pdf][arXiv], submitted. June 2026.
Furstenberg's Conjecture for Polynomially Rich Semigroups [pdf]
Spectral Data in Finite Quotients [pdf]
Mapping Class Group Fixed Representations [pdf]
Invariant Sets of Multidimensional Tori (undergraduate thesis) [pdf]