Freddie Manners

Freddie Manners works on additive combinatorics and its connections with number theory, analysis and ergodic theory. His UC San Diego profile also uses the name Frederick Manners.^[ref]

With Timothy Gowers, Ben Green and Terence Tao, he proved the polynomial Freiman–Ruzsa conjecture in characteristic two. The paper connects additive structure with entropy: sets or random variables whose sums grow unusually little must possess substantial algebraic organization. Its entropy formulation makes inequalities about sums part of a structural theorem in additive combinatorics.^[ref]