50 citations · 310 across the 47 of their papers we have counts for
48 papers
Graphical calculus for quantum vertex operators, II: q-KZB and coordinate Macdonald-Ruijsenaars equations
Hadewijch De Clercq, Nicolai Reshetikhin, Jasper Stokman
We extend the graphical calculus developed in the first part of this paper to the parametrising spaces of quantum vertex operators. This involves a graphical implementation of the…
Quasi-Polynomial Extensions of Nonsymmetric Macdonald-Koornwinder Polynomials
Jasper Stokman
In a recent joint paper with S. Sahi and V. Venkateswaran (2025), families of actions of the double affine Hecke algebra on spaces of quasi-polynomials were introduced. These so-ca…
Quantum superintegrable spin systems on graph connections
Nicolai Reshetikhin, Jasper Stokman
In this paper we construct certain quantum spin systems on moduli spaces of -connections on a connected oriented finite graph, with a simply connected compact Lie group. We…
Graphical calculus for quantum vertex operators, I: The dynamical fusion operator
Hadewijch De Clercq, Nicolai Reshetikhin, Jasper Stokman
This paper is the first in a series on graphical calculus for quantum vertex operators. We establish in great detail the foundations of graphical calculus for ribbon categories and…
Quasi-polynomial representations of double affine Hecke algebras
Siddhartha Sahi, Jasper Stokman, Vidya Venkateswaran
We introduce an explicit family of representations of the double affine Hecke algebra acting on spaces of quasi-polynomials, defined in terms of truncated Demazure-Lus…
Folded and contracted solutions of coupled classical dynamical Yang-Baxter and reflection equations
Jasper Stokman
In this paper we give a concrete recipe how to construct triples of algebra-valued meromorphic functions on a complex vector space satisfying three coupled classical…