Artur Avila

Artur Avila (b. 1979), received his Ph.D. in 2001 under the direction of Welington de Melo at the Instituto Nacional de Matemática Pura e Aplicada (IMPA), in Rio de Janeiro, Brazil. His thesis, "Bifurcations of unimodal maps: the topological and metric picture," generalized the regular or stochastic dichotomy from the quadratic family to any non-trivial family of real analytic unimodal maps. Since then he has made numerous outstanding contributions to one-dimensional and holomorphic dynamics, spectral theory of the Schroedinger operator, and ergodic theory of interval exchange transformations and the associated Teichmüller flow. Avila is a chargé de recherche the Centre Nationale de Recherche (CNRS).