= Emmanuel Breuillard
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<Emmanuel Breuillard> works on <group theory> and its connections with <geometry> and additive structure. With <Ben Green> and <Terence Tao>, he proved the structure theorem for <approximate groups>.<The structure of approximate groups by Emmanuel Breuillard and others>[Original byline and Theorem 2.10]{ref}
An approximate group is a finite symmetric set whose products can be covered by a bounded number of translates of itself. The theorem finds controlled nilpotent structure behind that bounded growth. It lets a local combinatorial restriction on products constrain the larger algebraic organization of the set.<The structure of approximate groups by Emmanuel Breuillard and others>[Theorem 2.10 and growth applications, Corollary 11.9]{ref}
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