Papers
Note: papers are listed in reverse chronological order of arXiv posting.
2025
-
Abelian structure in approximate groups and Alon's conjecture on Ramsey Cayley graphs.
Submitted. [PDF] -
Words with Repeated Letters in a Grid (with Zachary Halberstam).
Submitted. [PDF] -
Statistics of Erdős-Rényi random numerical semigroups (with
Noah Kravitz and
Santiago Morales).
Submitted. [PDF] -
Rainbow Trees in Hypercubes (with
Nicholas Crawford,
Maya Sankar, and
Sam Spiro).
Submitted. [PDF] -
Expansion in Distance Matrices (with
John Byrne, Jacob Johnston, and
Michael Tait).
Submitted. [PDF]
2024
-
More unit distances in arbitrary norms (with
Josef Greilhuber and
Jonathan Tidor).
Bull. Lond. Math. Soc., 2025. [PDF] -
Lower bounds for sphere packing in arbitrary norms.
Submitted. [PDF]
2023
-
Equiangular lines and large multiplicity of fixed second eigenvalue.
Submitted. [PDF]
2021
-
Graphs with high second eigenvalue multiplicity (with
Milan Haiman,
Shengtong Zhang, and
Yufei Zhao).
Bull. Lond. Math. Soc., 2022. [PDF] -
On a Mertens-type conjecture for number fields (with
Daniel Hu, Ikuya Kaneko, and Spencer Martin).
Math. Proc. Camb. Phil. Soc., 2024. [PDF] -
Order of Zeros of Dedekind Zeta Functions (with
Daniel Hu, Ikuya Kaneko, and Spencer Martin).
Proc. Amer. Math. Soc., 2022. [PDF]