Research

Current Research

My research focuses on orthogonal polynomials and symmetric functions, especially Hall–Littlewood and Koornwinder-type structures, and their applications to spectral theory, probability, and integrable models.

I am particularly interested in stochastic models on partitions and discrete state spaces whose transition operators admit explicit spectral descriptions, with emphasis on orthogonality, boundary parameters, spectral data, and long-time behavior.

I also study exactly solvable models in mathematical physics, including quantum spin chains and finite random walks, where special-function methods provide explicit eigenfunctions and transition formulas.

Research Outputs

Computational Tools