Research interests:
My research activity focuses mainly on phenomena described by time-dependent nonlinear partial differential equations, in particular by hyperbolic balance laws and kinetic models. Both classes of equations express fundamental laws of physics and are of great importance in many modern applications that range from gas dynamics, plasma and quantum physics to shallow water, traffic flows, economy and biology, to mention only a few relevant examples. In this context my main expertise concerns with the construction of numerical methods for collisional kinetic equations, asymptotic preserving methods, techniques for uncertainty quantification and the mathematical control of complex social systems. My recent works can be found in the publication page. Slides and videos of some of my recent lectures are also available in the lecture page.