My research is in probability theory and partial differential equations for quantum systems with focus on:

  • Integrable probability and combinatorics
  • Solitons and non-linear waves
  • Semi-classical analysis and quantization

Click here for slides from a recent talk I gave on quantization of Benjamin-Ono periodic traveling waves and Jack polynomials at the Brown / UMass Amherst / Boston University Joint Dynamics and PDE Seminar.

Image from J-C. Saut “Benjamin-Ono and intermediate long wave equations: modeling, IST and PDE.” Nonlinear Dispersive Partial Differential Equations and Inverse Scattering. Springer, New York, NY, 2019. 95-160.