33 citations · 65 across the 22 of their papers we have counts for
4 papers · 1 filter
Mysterious points in keys but not trees
Scott Neville, José Simental
The deep locus of a cluster variety is defined to be the set of its points that do not belong to any cluster torus. We show that, if the cluster variety has a seed whose mutable pa…
Bruhat intervals that are large hypercubes
Jordan Ellenberg, Nicolas Libedinsky, David Plaza +2
We study the question of finding big Bruhat intervals that are poset hypercubes in the symmetric group . Using permutations suggested by AlphaEvolve (an evolutionary coding ag…
Cluster tori over , hexagonal moves on triangulations, and minimal coverings of cluster manifolds
Daniel Pérez Melesio, José Simental
We study cluster algebras over . By the Laurent phenomenon there is a map from the set of seeds of the cluster algebra to the corresponding cluster variety. We show t…
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…