Professor Emmanuel Breuillard has today been elected a Fellow of the Royal Society, the UK’s national academy of sciences.

Recognised for their invaluable contributions to science, Fellows elected to the Royal Society are leaders in their fields. Professor Emmanuel Breuillard is a mathematician who works at the interface between algebra and analysis. He studied in Paris and Yale, worked in Lille, Paris, Muenster and Cambridge before joining the University of Oxford, where he now holds the Chair of Pure Mathematics and a Professorial Fellowship at Worcester College.

Professor Breuillard has made valuable contributions to the study of finite and infinite groups, using a wealth of methods from very different areas of mathematics, including combinatorics, mathematical logic, probability theory, dynamics, or diophantine analysis. Among them are his work on free subgroups of Lie groups, the development (with Green and Tao) of a structure theory for approximate groups, or his study (with Varju) of mixing and equidistribution phenomena for random walks on groups with applications to self-similarity and random polynomials. In 2012 he was awarded a European Mathematical Society Prize for his work in asymptotic group theory, and in 2013 he received the De Freycinet Prize from the French Academy of Science.

Professor Breuillard joins Worcester’s Professor Roger Heath-Brown, Professor Iain McCulloch and Professor Endre Süli who are also Fellows of the Royal Society.