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 completed my BA and MMath in 2021 at St John’s College, University of Oxford.
Email: bb741[at]cam.ac.uk
My CV is available here: CV ('25) .
Maths Papers:
Riesz products and the Lonely Runner Conjecture: a wider gap of loneliness.
B. Bedert, (2025). Submitted.
Online preprint available here.
Polynomial bounds for the Chowla cosine problem.
B. Bedert (2025). Submitted.
Online preprint available here.
(See also this blog post, and this Quanta article.)
On Graham's rearrangement conjecture over F_2^n.
B. Bedert, M. Bucić, N. Kravitz, R. Montgomery and A. Müyesser, (2025). Submitted.
Online preprint available here.
Large sum-free subsets of sets of integers via L^1 estimates for trigonometric series.
B. Bedert, (2025). Submitted.
Online preprint available here.
(See also this Wired/Quanta Magazine article, this YouTube video, and these blogs: 1, 2.)
Graham's rearrangement conjecture beyond the rectification barrier.
B. Bedert, N. Kravitz, (2024). Forthcoming in Israel J. Math.
arXiv version available here.
An improved lower bound for a problem of Littlewood on the zeros of cosine polynomials.
B. Bedert, (2024). Forthcoming in Israel J. Math.
arXiv version 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 (2024), no. 2, 269-298.
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, (2022). Submitted.
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.
arXiv version available here.
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.
arXiv version available here.
Twisting moduli for GL(2).
B. Bedert, G. Cooper, T. Oliver, P. Zhang, J. Number Theory 217 (2020), 142-162.
arXiv version available here.
Computer Science Papers:
Strong Sparsification for 1-in-3-SAT via Polynomial Freiman-Ruzsa.
B. Bedert, T. Nakajima, K. Okrasa and S. Živný. FOCS 2025.
arXiv version available here.