Overview
I am broadly interested in combinatorics, number theory, probability theory and related areas in statistical physics and theoretical computer science.
Recently, I have been studying the phenomena of synchronization through these lenses.
Research Focus
Synchronization; Extremal, Probabilistic and Arithmetic Combinatorics.
Publications
- "Double-jump phase transition for the reverse Littlewood–Offord problem"
with L. Hollom and J. Portier.
Preprint arXiv:2503.24202, 2025 - "The Maker-Breaker percolation game on a random board"
with V. Dvořák and A. Mond.
Preprint arXiv:2402.17547, 2024 - "On the number of monochromatic solutions to multiplicative equations"
with L. Aragão, J. Chapman, and M. Ortega.
Preprint arXiv:2311.18742, 2023 - "Expander graphs are globally synchronising",
with P. Abdalla, A. Bandeira, M. Kassabov S. Strogatz, and A. Townsend.
Preprint arXiv:2210.12788, 2022 - "The typical structure of sets with small sumset",
with M. Campos, M. Collares, R. Morris, and N. Morrison.
International Mathematics Research Notices, 2022