68 citations · 670 across the 62 of their papers we have counts for
30 papers · 1 filter
Marked Bumpless Pipedreams and Compatible Pairs
Daoji Huang, Mark Shimozono, Tianyi Yu
We construct a bijection between marked bumpless pipedreams with reverse compatible pairs, which are in bijection with not-necessarily-reduced pipedreams. This directly unifies var…
Wreath Macdonald polynomials, a survey
Daniel Orr, Mark Shimozono
Wreath Macdonald polynomials arise from the geometry of -fixed loci of Hilbert schemes of points in the plane, where is a finite cyclic group of order . For , t…
A row analogue of Hecke column insertion
Daoji Huang, Mark Shimozono, Tianyi Yu
We introduce a new row insertion algorithm on decreasing tableaux and increasing tableaux, generalizing Edelman-Greene (EG) row insertion. Our row insertion algorithm is a nontrivi…
Back stable K-theory Schubert calculus
Thomas Lam, Seung Jin Lee, Mark Shimozono
We study the back stable -theory Schubert calculus of the infinite flag variety. We define back stable (double) Grothendieck polynomials and double -Stanley functions and est…
The Möbius function on Affine Grassmannian elements
Michael Lugo, Mark Shimozono
To any saturated chain in the affine Weyl group whose translation parts are sufficiently regular, we associate a near path and a far path in the quantum Bruhat graph. Using this, w…
Grothendieck to Lascoux expansions
Mark Shimozono, Tianyi Yu
We establish the conjecture of Reiner and Yong for an explicit combinatorial formula for the expansion of a Grothendieck polynomial into the basis of Lascoux polynomials. This expa…