169 citations · 1.3k across the 50 of their papers we have counts for
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Symmetric functions from the six-vertex model in half-space
Alexandr Garbali, Jan de Gier, William Mead +1
We study the stochastic six-vertex model in half-space with generic integrable boundary weights, and define two families of multivariate rational symmetric functions. Using commuta…
A summation formula for Macdonald polynomials
Jan de Gier, Michael Wheeler
We derive an explicit sum formula for symmetric Macdonald polynomials. Our expression contains multiple sums over the symmetric group and uses the action of Hecke generators on the…
Deformed Kazhdan-Lusztig elements and Macdonald polynomials
Jan de Gier, Alain Lascoux, Mark Sorrell
We introduce deformations of Kazhdan-Lusztig elements and specialised nonsymmetric Macdonald polynomials, both of which form a distinguished basis of the polynomial representation…
Punctured plane partitions and the q-deformed Knizhnik--Zamolodchikov and Hirota equations
Jan de Gier, Pavel Pyatov, Paul Zinn-Justin
We consider partial sum rules for the homogeneous limit of the solution of the q-deformed Knizhnik--Zamolodchikov equation with reflecting boundaries in the Dyck path representatio…