Stefano graduated with an MSc in Stochastics and Data Science at the University of Turin in 2017. During his studies, he developed especially interest in probability theory and he decided to write his thesis studying the consequences of applying the Non-Central Limit theorem in the convergence of uncouple continuous time random walks. In his spare time, Stefano enjoys hiking, indoor climbing and listening to music.

Research project title:
Non-linear stochastic partial differential equations

Supervisor(s):
Hendrik Weber, Manuel Del Pino

Project description:
Stefano’s research is in the field of non-linear Stochastic Partial Differential Equations (Stochastic PDEs). This field has been very active over the last few years, due to two major developments: 1.) The theory of Regularity Structures (and related ideas) which permits a detailed small scale description of some Stochastic PDEs, such as semi-linear equations (relatively easy from a PDE point of view) driven by extremely irregular noise; 2.) The Kinetic Solution Theory for highly non-linear equations (such as quasilinear degenerate PDEs) perturbed by regular noise. The vision behind Stefano’s project is to combine these two theories in order to treat non-linear equations driven by very irregular noise.