I have recently started as a postdoctoral Research Associate at the University of Cambridge, working with Prof. Julian Sahasrabudhe. My main research interests lie in additive combinatorics, harmonic analysis and number theory.
In August 2025, I obtained my DPhil (PhD) from the University of Oxford, where I was fortunate to be supervised by Prof. Ben Green. From May 2022 until August 2025, I was also a Lecturer I at Magdalen College, Oxford. Before that, I did my BA and MMath at St John’s College, University of Oxford.
Email: bb741[at]cam.ac.uk
My CV is available here: CV (Sep '25) .
Maths Papers:
Polynomial bounds for the Chowla cosine problem. B. Bedert, preprint available here. (See also this blog post.)
On Graham's rearrangement conjecture over F_2^n. B. Bedert, M. Bucić, N. Kravitz, R. Montgomery and A. Müyesser, online preprint available here.
Large sum-free subsets of sets of integers via L^1 estimates for trigonometric series. B. Bedert, online preprint available here.
(This paper also received some attention in Quanta Magazine, on YouTube , and these blogs: 1, 2 .)
Graham's rearrangement conjecture beyond the rectification barrier. B. Bedert, N. Kravitz, forthcoming in Israel J. Math., online preprint available here.
An improved lower bound for a problem of Littlewood on the zeros of cosine polynomials. B. Bedert, forthcoming in Israel J. Math., online preprint available here .
On the zeros of reciprocal Littlewood polynomials. B. Bedert, Acta Arith. 219 (2025), no. 4, 297-330. arXiv version available here .
On unique sums in Abelian groups. B. Bedert, Combinatorica 44, 269-298 (2024). arXiv version available here.
On a problem of Erdős and Sárközy about sequences with no term dividing the sum of two larger terms. B. Bedert, online preprint available here . (See Problem 13 on the Erdösproblems website. )
On a distinguished family of random variables and Painlevé equations. T. Assiotis, B. Bedert, M. A. Gunes and A. Soor, Probab. Math. Phys. 2 (2021), no. 3, 613-642.
Moments of generalized Cauchy random matrices and continuous-Hahn polynomials. T. Assiotis, B. Bedert, M. A. Gunes and A. Soor, Nonlinearity 34 (2021), no. 7, 4923-4943.
Twisting moduli for GL(2). B. Bedert, G. Cooper, T. Oliver, P. Zhang, J. Number Theory 217 (2020), 142-162.
Computer Science Papers:
Strong Sparsification for 1-in-3-SAT via Polynomial Freiman-Ruzsa. Bedert, Nakajima, Okrasa and Živný. FOCS 2025.