102 citations · 111 across the 13 of their papers we have counts for
18 papers
Quantum Character Theory
Sam Gunningham, David Jordan, Monica Vazirani
We develop a -analogue of the theory of conjugation equivariant -modules on a complex reductive group . In particular, we define quantum Hotta-Kashiwara…
Higher rank -Catalan polynomials, affine Springer fibers, and a finite Rational Shuffle Theorem
Nicolle González, José Simental, Monica Vazirani
We introduce the higher rank -Catalan polynomials and prove they equal truncations of the Hikita polynomial to a finite number of variables. Using affine compositions and a…
From representations of the rational Cherednik algebra to parabolic Hilbert schemes via the Dunkl-Opdam subalgebra
Eugene Gorsky, José Simental, Monica Vazirani
In this note we explicitly construct an action of the rational Cherednik algebra corresponding to the permutation representation of on the $\mat…
Recursions for rational q,t-Catalan numbers
Eugene Gorsky, Mikhail Mazin, Monica Vazirani
We give a simple recursion labeled by binary sequences which computes rational -Catalan power series, both in relatively prime and non relatively prime cases. It is inspired b…
The rectangular representation of the double affine Hecke algebra via elliptic Schur-Weyl duality
David Jordan, Monica Vazirani
Given a module for the algebra of quantum differential operators on , and a positive integer , we may equip the space of invarian…
Rational Dyck Paths in the Non Relatively Prime Case
Eugene Gorsky, Mikhail Mazin, Monica Vazirani
We study the relationship between rational slope Dyck paths and invariant subsets of extending the work of the first two authors in the relatively prime case. We also…