Associate Professor
Instituto de Matemática e Estatística
Universidade Federal Fluminense
I’m a mathematician working in the field of dynamical systems. My research focuses on topics in smooth ergodic theory (Lyapunov exponents, SRB measures, stable ergodicity) and robust transitivity. I have some experience with partial hyperbolicity, but am currently interested in general questions about the dynamics of non-invertible maps (endomorphisms). I am particularily interested in the interplay between large scale properties of a system (action of a diffeomorphism in homology groups) and infinitesimal analysis, such as Lyapunov exponents.
I hold an MSci degree in mathematics from Imperial College (2001) obtained under the supervision of Stefano Luzzatto and a Ph.D. from Instituto Nacional de Matemática Pura e Aplicada (2007) under the supervision of Marcelo Viana. I have also held postdoc positions at PUC-Rio, ICMC-USP, and ENS-PSL, as well as long term visits to Peking University (2014), IMJ-PRG (2018) and Laboratoire des Matématiques d'Orsay (2019).