Emmanuel Breuillard - Selected Publications#

Emmanuel Breuillard is the author of about 50 publications in peer reviewed mathematical journals, several of them published in the most prestigious journals worldwide.

Projective Geometries Arising From Elekes-Szabo Problems; with Martin Bays . Annales de l'ENS (to appear); https://arxiv.org/abs/1806.03422.

Irreducibility of random polynomials of large degree. with Varjú, Péter P. Acta Math. 223 (2019), no. 2, 195–249.

C*-simplicity and the unique trace property for discrete groups; with Kalantar, Mehrdad; Kennedy, Matthew; Ozawa, Narutaka Publ. Math. Inst. Hautes Études Sci. 126 (2017), 35–71.

Expansion in finite simple groups of Lie type; with Green, Ben; Guralnick, Robert; Tao, Terence J. Eur. Math. Soc. (JEMS) 17 (2015), no. 6, 1367–1434.

Diophantine geometry and uniform growth of finite and infinite groups. Proceedings of the International Congress of Mathematicians—Seoul 2014. Vol. III, 27–50, Kyung Moon Sa, Seoul, 2014.

The structure of approximate groups. with Green, Ben; Tao, Terence. Publ. Math. Inst. Hautes Études Sci. 116 (2012), 115–221.

A height gap theorem for finite subsets of GLd(\ov Q) and nonamenable subgroups. Ann. of Math. (2) 174 (2011), no. 2, 1057–1110.

Strong uniform expansion in SL(2,p). with Alex Gamburd. Geom. Funct. Anal. 20 (2010), no. 5, 1201–1209.

Uniform independence in linear groups. with T. Gelander. Invent. Math. 173 (2008), no. 2, 225–263.

A topological Tits alternative. with T. Gelander. Ann. of Math. (2) 166 (2007), no. 2, 427–474.