I am an analyst working on random matrix theory and related fields.  My main research interests are in the understanding of the asymptotic behavior of large random systems, such as the spectra of large random matrices and large systems of interacting particles. These models typically generate a variety of random processes and fields that have a universal character and are of great importance to, for example, mathematical physics. At the same time they often also have an integrable structure, so that the relevant statistics can be translated into more classical  objects that are tractable for  asymptotic analysis. In my research these objects include orthogonal polynomials, Toeplitz determinants and Fredholm determinants.

Keywords:  random matrix theory, determinantal point processes, critical phenomena,  orthogonal polynomials, Riemann-Hilbert problems, (vector) equilibrium problems, Painleve equations, Gaussian free field, interacting particle systems, Toeplitz matrices/operators, Toeplitz determinants.