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.

Recent publications

• 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.
• Orthogonal stochastic duality functions from Lie algebra representations, J. Stat. Phys. 174 (2019), no. 1, 97-119.
• A solution to the Al-Salam-Chihara moment problem, in: Positivity and Noncommutative Analysis, Festschrift in Honour of Ben de Pagter on the Occasion of his 65th Birthday, G. Buskes, M. de Jeu, P. Dodds, A. Schep, F. Sukochev, J.van Neerven, A. Wickstead (Eds.), Birkhäuser, 2019, 223-248.
• Self-duality of Markov processes and intertwining functions, Math. Phys. Anal. Geom. (2018) with Chiara Franceschini and Cristian Giardinà.
• 3nj-symbols and identities for q-Bessel functions, Ramanujan Journal 47 (2018), 317-337.

You can find most of my papers on arXiv.

Here is a complete list of my publications.