Philippe Michel

Ph. Michel's main research interest lie in the field of analytic number theory and range over a variety of techniques and methods which include: arithmetic geometry, exponential sums, sieve methods, automorphic forms and allied representations, L-functions and more recently ergodic theory.Ph. Michel is a former student of ENS Cachan and obtained his PhD in Universté Paris XI in 1995 under the guidance of E. Fouvry. From 1995 to 1998 he was maître de conférence at Universté Paris XI and full professor at Université Montpellier II until 2008 then when he joined EPFL. Ph. Michel was awarded the Peccot-Vimont prize, has been member of the Institut Universitaire de France and wa invited speaker at the 2006 International Congress of Mathematician. Teaching & PhD PhD Students Svenja Zur Verth, Filippo Agostino Vittorio Berta Past EPFL PhD Students Han Wu, Alexandre François Peyrot, Raphaël Pierre Zacharias, Vignesh Arumugam Nadarajan Courses Advanced analytic number theory MATH-521 This year we will present some further applications of the theory of modular forms (compared to MATH-511). These may include the following: - Equidistribution of points on spheres- Construction of Ramanujan Graph- Invariant means on the spheres- Complex multiplication for elliptic curves Advanced linear algebra I - vector spaces MATH-110(a) The aim of this course we will introduce the basic notions of linear algebra (for would be mathematicians) and provide rigorous proofs of the main results on this topic. Number theory I.a - Algebraic number theory MATH-482 Algebraic number theory is the study of the properties of solutions of polynomial equations with integral coefficients; Starting with concrete problems, we then introduce more general notions like algebraic number fields, algebraic integers, units, ideal class groups... Awards Peccot-Vimont prize Collège de France 1999 member of the Academia Europaea (Academy of Europe) since 2011 and Fellow of the American Math. Society since 2012. ERC Advanced Grant 0