Brian Conrad

The theory of reductive groups has many applications in number theory, geometry, and representation theory. For some purposes it is natural to consider a more general notion of "pseudo-reductive" group, first studied by Borel & Tits. We will explain...

The ABC Conjecture, formulated in the mid-1980's by Oesterlé and Masser, is one of the most important conjectures in number theory. It has many deep consequences, but its basic formulation can be given in entirely elementary terms. In September 2012...