I am an analyst who works at the intersection of probability theory, classical analysis, dynamical sytems and applied mathematics.

In more detail, my research program is devoted to mathematical physics with special focus on random matrix theory, the theory of random processes, statistical mechanics (exactly solvable lattice models) and the field of integrable differential equations (Painleve and nonlinear wave type equations). The application of asymptotic methods, special function theory, orthogonal polynomials, probability and potential theory is central to this work. My papers can be found on the arXiv and on MathSciNet, see also Google scholar and ORCID.

Some of my current research directions are:

1) *Random matrices and random processes*: Analysis of incomplete spectra in invariant ensembles; Hamiltonian interpretation and application of tau-functions to gap expansions; non-standard universality classes in single- and multi-matrix Hermitian models; spectral analysis of integrable integral operators.

2) *Lattice models*: Transition asymptotic analysis for the partition function in the six-vertex model; scaling analysis in the two-dimensional Ising model.

3) *Painleve special function theory*: Unified asymptotic analysis of physical solutions to Painleve-I, II, III and V; Schur/orthogonal polynomial method in the analysis of rational Painleve functions; analysis of singular Painleve transcendents; total integrals of Painleve functions.