Santiago Barbieri

Juan de la Cierva Postdoctoral Researcher in Mathematics

Universitat Politècnica de Catalunya

My academic achievements are in the field of dynamical systems (both discrete and continuous). In particular, during these years I have been studying the stability and instability of solutions of perturbations of integrable Hamiltonian systems of high regularity, and the existence and non existence of invariant curves for twist maps of the annulus in low regularity. The techniques I use belong to a wide range of mathematical fields:

• topological dynamical systems
• smooth dynamical systems
• real-algebraic geometry
• real and functional analysis
• complex analysis