My research is mostly 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 both fields, it is possible to analyze their asymptotic behaviour in certain limit or critical regime.
Furthermore, in the Random Matrix field, gap probabilities of eigenvalues (determinantal poit processes) can be throughly described in terms of differential equations and integrable Hamiltonian systems, coming from the Riemann-Hilbert problem associated to them.

Research Interests

Riemann-Hilbert problems. Random matrices, Integrable Systems, 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: