After Master's degree in Mathematics and Application at Camerino University, on November 2018 I started a Ph.D. course in Mathematical Models for Engineering at La Sapienza - S.B.A.I. Department. At the moment, my research involves the study of Mean Field Games systems. Supervisor:Prof. Fabio Camilli (La Sapienza).
More details: Curriculum Vitae
The research concerns the study of Mean Field Games models (MFG) and their applications. Our main research perspective is to analyze the relationship between MFG and machine learning, in particular we would like to examine how MFG models can be reinterpreded as the continuous version of clustering tools as K-means and Expectation Maximization algorithms. Furthemore, the idea is to extend our analysys to the finite state space, studying the relationship with clusters on graphs.