Federico graduated with a “Laurea Magistrale” degree in Mathematical Engineering from Politecnico di Milano (Italy) in 2015. His thesis involved the proof of existence, uniqueness and measurability of suitable solutions to a stochastic version of a nonlocal Cahn-Hilliard partial differential equation. Federico is also keen on applying stochastic mathematical models to engineering problems. Outside of mathematics, Federico plays the violin, enjoys hiking, cooking and playing football. Among his main interests, are classical ancient music, opera, and the contemporary history of civil aviation.

Research project title:
Analysis of transition rates for the Dean-Kawasaki model

Supervisor(s):
Johannes Zimmer, Tony Shardlow

Project description:
Nucleation is a physical process, important in fields as diverse as physics, chemistry and biology. Nucleation is, broadly speaking, the process with which a material undergoes the formation of new thermodynamic phases via self-assembly. The mathematical description of this process is comprised of several different relevant features. In his Ph.D., Federico focused on some aspects of the Dean-Kawasaki stochastic model, arising from the fluctuating hydrodynamics theory. Of this model, Federico he was primarily investigating the underlying mathematical geometry, the transition rates analysis in the context of metastability, sought a description of the nucleation pathways.