Research activity

My research activity is framed within the mathematical theory of Partial Differential Equations (PDEs), with special focus on

• non-local interaction equations with applications to biological and social aggregation phenomena

• nonlinear transport equations arising in the modeling of vehicular and pedestrian traffic

• aggregation-diffusion systems with applications to population dynamics and epidemics

• deterministic particle methods for nonlinear transport models

• optimal transport methods for PDEs