53 citations · 254 across the 41 of their papers we have counts for
47 papers
Universal Hilbert series coefficients of the superspace coinvariant ring
Sylvie Corteel, John Lentfer
The coefficients that determine the Hilbert series of the superspace coinvariant ring are indexed by hook-shaped partitions. We give a manifestly positive combinatorial interpretat…
Rhombic staircase tableaux and Koornwinder polynomials
Sylvie Corteel, Olya Mandelshtam, Lauren Williams
In this article we give a combinatorial formula for a certain class of Koornwinder polynomials, also known as Macdonald polynomials of type . In particular, we give a co…
Lecture hall graphs and the Askey scheme
Sylvie Corteel, Bhargavi Jonnadula, Jonathan P. Keating +1
We establish, for every family of orthogonal polynomials in the -Askey scheme and the Askey scheme, a combinatorial model for mixed moments and coefficients in terms of paths…
Domino tilings of generalized Aztec triangles
Sylvie Corteel, Frederick Huang, Christian Krattenthaler
Di Francesco introduced Aztec triangles as combinatorial objects for which their domino tilings are equinumerous with certain sets of configurations of the twenty-vertex model that…
Combinatorics of the Delta conjecture at q=-1
Sylvie Corteel, Matthieu Josuat-Vergès, Anna Vanden Wyngaerd
In the context of the shuffle theorem, many classical integer sequences appear with a natural refinement by two statistics and : for example the Catalan and Schröder numbers…
Partitions with constrained ranks and lattice paths
Sylvie Corteel, Sergi Elizalde, Carla Savage
In this paper we study partitions whose successive ranks belong to a given set. We enumerate such partitions while keeping track of the number of parts, the largest part, the side…