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

Research

My research is mostly focused on the study of gap probabilities of determinantal processes via Riemann-Hilbert problems. Thanks to such a formulation, it is possible to derive differential equations and integrable Hamiltonian systems which can describe the gap probabilities. Furthermore, it is possible to perform asymptotic analysis of such quantities in certain limit regimes.

Research Interests

Random matrices, Integrable Systems, Riemann-Hilbert problems. Analysis of non-linear (possibly integrable) PDEs.


Research group seminars

We are starting a research group on Random Matrix Theory and Analysis of nonlinear PDEs at CSU!
Here are some notes to get an idea of what we’re dealing with:

  • Determinantal Point Processes, notes from the lecture given at the Inverse Problem seminar series on February 2017.
  • Random Matrices, notes from the lecture given at the Inverse Problem seminar series on February 2017.




  • Variational formulation of a PDE, notes from the lecture given at the PDELab seminar in October 2017.


  • For more information, check prof. McLaughlin webpage.