This page lists mid to long term visitors in Université Paris-Saclay's math labs. Under construction.
The list of visitors of Institut des Hautes Études Scientifiques is here.
The list of postdocs of Laboratoire de Mathématiques d'Orsay is here.
I have a post-doc position at Centre Borelli, ENS Paris-Saclay (April 2020 - Mars 2022).
I am interested in mathematical problems arising both in Physics and Biology. I am currently working on some free boundary value problems of Hele-Shaw type involving nonlocal terms. I also take advantage of the Dirichlet-to-Neumann operator in order to recover further properties of the Hele-Shaw equation.
Moreover, I work on some other models describing crystal and tumor growths.
During my Ph.D. (Tor Vergata University of Rome), I dealt with a class of nonlinear parabolic equations with operator in divergence form. The main difficulty of this class of equations is the presence of superlinear terms of first order, i.e., terms which “fight against” the coercivity of the divergence operator. Later, I won a post-doc position at “Sapienza” University of Rome, where I dealt with analogous equations in the fully nonlinear case and in the setting of viscosity solutions.
I am a post-doc researcher at the "Laboratoire de Mathématiques de Versailles" from October 2020 until September 2022.
My main research field is the controllability of the Schrödinger equation. Since my Ph.D thesis, I studied the controllability of the bilinear Schrödinger equation by starting from the one dimensional framework. In the following years, I considered this kind of problem on compact graphs and on infinite graphs. During my actual post-doc at the Laboratoire de Mathématiques de Versailles, I am studying the bilinear controllability of the nonlinear Schrödinger equation.
During my previous post-doc at the "Institut Fourier" of Grenoble, I worked on the quasi-adiabatic controllability of the Schrödinger equation via deformations of the domain or via specific moving potential walls.
My other research fields are the bilinear controllability of the heat equation on graphs, the stabilization of Euler-Bernoulli beam equations and the spectral behaviour of networks partially composed by metamaterials.