Hi!
Hi!
I'm a post-doc at Oxford, where I work mostly with the number theory and combinatorics research groups. Previously, I was a PhD student at McGill, where I was supervised by Marcin Sabok and Anush Tserunyan. My research interests lie mostly in combinatorics and descriptive set theory and their interactions with other areas such as measured group theory and dynamics. I'm especially in the sub fields of Ramsey theory and descriptive graph theory. You can reach me at matthew.bowen ''at'' maths.ox.ac.uk
Measurable matchings in unbalanced graphs (2026), with Anton Bernshteyn and Felix Weilacher. arxiv.
Sums, products, and exponents in two-colorings of the naturals, (2025), with Ryan Alweiss and Marcin Sabok. arxiv.
Measurable one-ended spanning trees, (2025) with António Girão, Héctor Jardón-Sánchez, and Grigory Terlov. arxiv.
Exponential bounds for monochromatic sums equal to products, (2024). arxiv.
Measurable regular subgraphs, (2024) with Clinton Conley and Felix Weilacher. arxiv.
Monochromatic non-commuting products, (2024). arxiv.
Composite Ramsey theorems via trees, (2022). arxiv.
The uniform Gardner conjecture and rounding Borel Flows, (2022) with Gabor Kun and Marcin Sabok. Proceedings of the AMS arxiv.
One-ended spanning trees and definable combinatorics, (2022) with Antoine Poulin and Jenna Zomback. Transactions of the AMS, arxiv.
Monochromatic products and sums in the rationals, (2022) with Marcin Sabok. Forum of Mathematics, Pi, arxiv.
Monochromatic products and sums in 2-colorings of ℕ , (2022). Advances in Mathematics, arxiv.
Definable Kőnig theorems, (2021) with Felix Weilacher. Proceedings of the AMS, arxiv.
Perfect matchings in hyperfinite graphings, (2021) with Gabor Kun and Marcin Sabok. arxiv.
Colored unavoidable patterns and balanceable graphs, (2019) with Adriana Hansberg, Amanda Montejano, and Alp Muyesser. The Electronic Journal of Combinatorics.
Finding unavoidable colorful patterns in multicolored graphs, (2018) with Ander Lamaison and Alp Muyesser. The Electronic Journal of Combinatorics.
The Sprague-Grundy function for some selective compound games, (2018) with Calvin Beideman and Alp Muyesser. Integers
Dynamical Ramsey theory (work in progress). Link