Research

Sumsets of Ahlfors-David regular sets

Preprint (submitted), September 2026

Multiplicative subgroups of prime fields are not sumsets

Joint with Misha Rudnev

Preprint (submitted), July 2026

Arxiv | PDF | Slides

Beating product constructions for linear equations over finite fields

Joint with Paul Hametner

Preprint (submitted), June 2026

Arxiv | PDF | Poster

Bounded exponential sums with multiplicative coefficients

Joint with Pierre-Alexandre Bazin and Ihor Pylaiev

Published in Mathematika

Journal version | PDF

New lower bounds for cap sets

Published in Discrete Analysis, December 2023

Journal version | PDF | Slides | Video

The admissible sets and code used in the paper can be found on GitHub

Almost-periodicity in additive number theory

MMath dissertation, June 2023

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