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math.CO2026
An algorithmic Polynomial Freiman-Ruzsa theorem
Davi Castro-Silva, Jop Briët, Srinivasan Arunachalam +2
We provide algorithmic versions of the Polynomial Freiman-Ruzsa theorem of Gowers, Green, Manners, and Tao (Ann. of Math., 2025). In particular, we give a polynomial-time algorithm…
math.CO2024
On the threshold for Szemerédi's theorem with random differences
Jop Briët, Davi Castro-Silva
Using recent developments on the theory of locally decodable codes, we prove that the critical size for Szemerédi's theorem with random differences is bounded from above by $N^{1-…