I am currently a PDRA at the Mathematical Institute of the University of Oxford. Before moving to the UK, I spent almost three years as postdoctoral researcher at the Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany. I received my PhD in Mathematics and Models from the University of L’Aquila, Italy, in 2019. As undergraduate, I studied Mathematics at the University of Naples “Federico II”, in Italy.
Since I was a DPhil student I have tutored for courses in Calculus, Functional Analysis, Partial Differential Equations, and Continuum Mechanics, for which I was also co-lecturer, in Italy and Germany. Other than that, I supervised a MSc thesis on a particular application of optimal transport theory to PDEs.
My research focuses on the analysis of Partial Differential Equations (PDEs). They represent a fascinating, intriguing, and powerful mathematical tool to interpret, describe, and understand several phenomena, e.g., in biology, particle physics, social sciences, pedestrian dynamics, etc. I am particularly interested in PDEs modelling (nonlocal) interactions, as well as those showing a competition between aggregation and diffusion, also in case of systems — so called cross-diffusion systems. Among other properties, I am fascinated by the connection between micro and macro description, and the generalisation of some PDEs to non-standard ambient spaces, such as graphs or networks.
Please refer to my personal webpage for the list of my publications.