M. Shimozono

activity

19982025

most citedA uniform model for Kirillov-Reshetikhin crystals I: Lifting the parabolic quantum Bruhat graph

68 citations · 670 across the 62 of their papers we have counts for

collaborators

63 papers

math.RT2025

Equivariant homology of the symplectic affine Grassmannian and dual affine Schur $P$ -functions

Takeshi Ikeda, Shinsuke Iwao, Mark Shimozono

We study the torus-equivariant homology $H_{*}^{T} (Gr_{G})$ of the affine Grassmannian $Gr_{G}$ , where $G = Sp_{2 n} (C)$ is the symplectic group. This homo…

math.RT2024

Equivariant $K$ -homology of affine Grassmannian and $K$ -theoretic double $k$ -Schur functions

Takeshi Ikeda, Mark Shimozono, Kohei Yamaguchi

We study the torus equivariant K-homology ring of the affine Grassmannian $Gr_{G}$ where $G$ is a connected reductive linear algebraic group. In type $A$ , we introduce equiv…

math.CO2024

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…

math.CO2023

Wreath Macdonald polynomials, a survey

Daniel Orr, Mark Shimozono

Wreath Macdonald polynomials arise from the geometry of $Γ$ -fixed loci of Hilbert schemes of points in the plane, where $Γ$ is a finite cyclic group of order $r \geq 1$ . For $r = 1$ , t…

math.QA2022★ 1 cited

Wreath Macdonald operators

Daniel Orr, Mark Shimozono, Joshua Jeishing Wen

We construct a novel family of difference-permutation operators and prove that they are diagonalized by the wreath Macdonald $P$ -polynomials; the eigenvalues are written in terms o…

math.CO2022

A row analogue of Hecke column insertion