Considerate la vostra semenza: fatti non foste a viver come bruti, ma per seguir virtute e canoscenza. (Dante Alighieri)

Research Interests

Random matrices, Integrable Systems, Analysis of integrable dispersive PDEs. Riemann-Hilbert problems. Deep Learning theory, Optimization.

I have a keen interest in applications of Random Matrix Theory and Integrable Systems to Generalization analysis and Optimization (Machine Learning).

My Math research is focused on the use of Riemann-Hilbert techniques to study physically meaningful quantities arising in the field of Random Matrix Theory or Integrable PDEs, in particular their asymptotic behaviour in certain limit or critical regime and their connection with integrable systems (Lax pair and Painlevé equations).