= Ben Green
{c}
<Ben Green> works on <additive combinatorics> and <number theory>. With <Emmanuel Breuillard> and <Terence Tao>, he proved a structure theorem for <approximate groups>, extending the study of sets with small product growth beyond commutative groups.<The structure of approximate groups by Emmanuel Breuillard and others>[Original byline and Theorem 2.10]{ref}
He also coauthored the characteristic-two proof of the polynomial Freiman–Ruzsa conjecture with <Timothy Gowers>, <Freddie Manners> and <Terence Tao>. Both projects turn limited growth under addition or multiplication into structural information; the later proof makes <entropy> a central quantitative tool.<On a conjecture of Marton by Timothy Gowers and others>[Abstract and Appendix A]{ref}
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