Since September 2021, I am an assistant professor in Mathematics at the Université Paris Dauphine-PSL. I am a member of the CEREMADE (Centre de Recherche en Mathématiques de la Décision).
Before that, from November 2019 to August 2021, I was Post-doc of Fondation Sciences Mathématiques de Paris at IMJ-PRG and CEREMADE (Paris, France) under the supervision of Jean-Pierre Marco and Jacques Féjoz.
I prepared my PhD thesis Asymptotic Maslov indices at Avignon Université (Avignon, France) under the supervision of Professor Marie-Claude Arnaud and Andrea Venturelli.
My main research interests are dynamical systems. In particular I am working on the Asymptotic Maslov index. This quantity describes how the dynamics makes tangent vectors “rotate” asymptotically. In 2-dimension dynamics it refers to the asymptotic angular velocity of the images of the vectors under the tangent diffeomorphism. In higher dimension this notion is well-defined for symplectic systems. I am interested in the connections between the Asymptotic Maslov index and properties of the system, such as integrability, chaotic behavior…
E-mail: anna dot florio at hotmail dot it or florio at ceremade dot dauphine dot fr