= Freddie Manners
{c}
<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.https://mathematics.ucsd.edu/people/profiles/frederick-manners[Institutional identity and research interests]{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>.<On a conjecture of Marton by Timothy Gowers and others>[Abstract; Appendix A, equations A.10–A.13, entropic Ruzsa distance]{ref}
Back to article page