Research

Research interests

My current research concentrates on special functions, (multivariate) orthogonal polynomials, moment problems, generalized Fourier transforms in relation with Lie and quantum algebra representations and stochastic particle models.

Preprint

• Quantum algebra approach to univariate and multivariate rational functions of q-Racah type, with Carel Wagenaar.
• Multivariate Askey-Wilson functions and overlap coefficients.

Recent publications

• Multivariate Meixner polynomials related to holomorphic discrete series representations of SU(1,d), Indag. Math. (N.S.) 36 (2025), no. 1, 171-187, with Joop Vermeulen.
• A generalized dynamic asymmetric exclusion process: orthogonal dualities and degenerations., J. Phys. A 57 (2024), no. 37, 66 pages, with Carel Wagenaar.
• An Askey-Wilson algebra of rank 2, SIGMA 19 (2023), 008, 35 pages, with Carel Wagenaar.
• Orthogonal functions related to Lax pairs in Lie algebras, Ramanujan J. (2021), with Erik Koelink.
• q-Orthogonal dualities for asymmetric particle systems, Electron. J. Probab. 26 (2021), Paper No. 108, 38 pages, with Gioia Carinci and Chiara Franceschini.
• A quantum algebra approach to multivariate Askey-Wilson polynomials, Int. Math. Res. Not. IMRN 2021, no. 5, 3224-3266.
• Orthogonal dualities of Markov processes and unitary symmetries, SIGMA 15 (2019), 053, 27 pages, with Gioia Carinci, Chiara Franceschini, Cristian Giardinà and Frank Redig.

You can find most of my papers on arXiv.

Here is a complete list of my publications.