My research is devoted to develop microscopic, macroscopic and multiscale models for describing and forecasting vehicular traffic on single roads and road networks. From the mathematical point of view, I use ODEs and (systems of) hyperbolic PDEs, numerically approximated by the Godunov method.
I have investigated, from the numerical side, the use of Wasserstein distance to make a sensitivity analysis of traffic models.
I have also used Artificial Neural Networks along with differential models to increase the accuracy of forecast methods.
Collaborations with private companies allowed me to work with some real data sets coming from both mobile (GPS-based) and fixed sensors.

My research is devoted to develop microscopic, macroscopic and multiscale models for describing and forecasting pedestrian dynamics in built environments.
I have a special interest in the problem of steering crowds preserving at any time its natural behavior. This means that people are not asked or forced to follow a specific path, rather I want to control the environment or the path of some special agents in such a way that the observed behavior of the crowd is "naturally" optimal. I have also explored the potential of the mean-field game theory in the context of pedestrian dynamics.
In the last years I focused on pedestrian movements inside museums in order to optimize the visitor flow and the placement of the artworks.

My research is devoted to the construction of optimal supports for unprintable objects. Using the level-set method, I "inflate" the object in such a way that overhangs disappear, thus finding, as a by-product, the minimal-volume support specifically conceived for the object.
More in general, I am interested in any kind of advanced mathematical method to solve problems related to low cost 3D printers based on the FDM technology.

I am interested in any kind of fast numerical method for solving the Hamilton-Jacobi-Bellman and Hamilton-Jacobi-Isaacs equations associated, respectively, to optimal control problems and differential games. In particular I worked on the extensions of the Dijkstra-inspired Fast Marching Method to Hamilton-Jacobi equations more general than the eikonal one.