90 citations · 591 across the 26 of their papers we have counts for
32 papers
Product-free subsets of
Leonardo Franchi, W. T. Gowers, Fredy Yip
The third problem in Ben Green's collection of 100 open problems asks whether an open subset of that does not contain with must have measure at most 1/3. We…
Remarks on the disproof of the unit distance conjecture
Noga Alon, Thomas F. Bloom, W. T. Gowers +6
We present a short, digested, human-verified version of the recent OpenAI-generated counterexample to the Erdős unit distance conjecture, and a sequence of reflections on it. The a…
Marton's Conjecture in abelian groups with bounded torsion
W. T. Gowers, Ben Green, Freddie Manners +1
We prove a Freiman--Ruzsa-type theorem with polynomial bounds in arbitrary abelian groups with bounded torsion, thereby proving (in full generality) a conjecture of Marton. Specifi…
On a conjecture of Marton
W. T. Gowers, Ben Green, Freddie Manners +1
We prove a conjecture of K. Marton, widely known as the polynomial Freiman--Ruzsa conjecture, in characteristic . The argument extends to odd characteristic, with details to fol…
Low-complexity approximations for sets defined by generalizations of affine conditions
W. T. Gowers, Thomas Karam
Let be a prime, let be a non-empty subset of and let . We show that there exists a constant such that for every positive integer ,…
A counterexample to a strengthening of a question of Milman
W. T. Gowers, K. Wyczesany
Let be the standard Euclidean norm on and let be a normed space. A subspace is \emph{strongly -Euclidean} if t…