Publications (49)
K-theory Schubert calculus of the affine Grassmannian
Thomas Lam, Anne Schilling, Mark Shimozono
Virtual crystals and Kleber's algorithm
Masato Okado, Anne Schilling, Mark Shimozono
Affine type A crystal structure on tensor products of rectangles, Demazure characters, and nilpotent varieties
Mark Shimozono
Stable Grothendieck polynomials and K-theoretic factor sequences
Anders S. Buch, Andrew Kresch, Mark Shimozono +2
Dual graded graphs for Kac-Moody algebras
Thomas Lam, Mark Shimozono
Affine insertion and Pieri rules for the affine Grassmannian
Thomas Lam, Luc Lapointe, Jennifer Morse +1
Graded characters of modules supported in the closure of a nilpotent conjugacy class
Mark Shimozono, Jerzy Weyman
Hall-Littlewood vertex operators and generalized Kostka polynomials
Mark Shimozono, Mike Zabrocki
Virtual crystals and fermionic formulas of type $D_{n+1}^{(2)}$, $A_{2n}^{(2)}$, and $C_n^{(1)}$
Masato Okado, Anne Schilling, Mark Shimozono
Equivariant K-Chevalley Rules for Kac-Moody Flag Manifolds
Cristian Lenart, Mark Shimozono
From quantum Schubert polynomials to k-Schur functions via the Toda lattice
Thomas Lam, Mark Shimozono
A conjectural Peterson isomorphism in K-theory
Thomas Lam, Changzheng Li, Leonardo C. Mihalcea +1
X = K under review
Cedric Lecouvey, Masato Okado, Mark Shimozono
Quantum cohomology of G/P and homology of affine Grassmannian
Thomas Lam, Mark Shimozono
A Tensor Product Theorem Related To Perfect Crystals
Masato Okado, Anne Schilling, Mark Shimozono
A Little bijection for affine Stanley symmetric functions
Thomas Lam, Mark Shimozono
Explicit description of the degree function in terms of quantum Lakshmibai-Seshadri paths
Cristian Lenart, Satoshi Naito, Daisuke Sagaki +2
Deformed universal characters for classical and affine algebras
Mark Shimozono, Mike Zabrocki
A uniform model for Kirillov-Reshetikhin crystals III: Nonsymmetric Macdonald polynomials at $t=0$ and Demazure characters
Cristian Lenart, Satoshi Naito, Daisuke Sagaki +2
Specializations of nonsymmetric Macdonald-Koornwinder polynomials
Daniel Orr, Mark Shimozono
$k$-Schur functions and affine Schubert calculus
Thomas Lam, Luc Lapointe, Jennifer Morse +3
Bosonic formula for level-restricted paths
Anne Schilling, Mark Shimozono
Equivariant Pieri Rule for the homology of the affine Grassmannian
Thomas Lam, Mark Shimozono
k-Double Schur functions and equivariant (co)homology of the affine Grassmannian
Thomas Lam, Mark Shimozono
A cyclage poset structure for Littlewood-Richardson tableaux
Mark Shimozono
A generalization of the Kostka-Foulkes polynomials
Anatol N. Kirillov, Mark Shimozono
Affine crystals, one-dimensional sums and parabolic Lusztig q-analogues
Cedric Lecouvey, Masato Okado, Mark Shimozono
A uniform model for Kirillov-Reshetikhin crystals I: Lifting the parabolic quantum Bruhat graph
Cristian Lenart, Satoshi Naito, Daisuke Sagaki +2
Hall-Littlewood expansions of Schur delta operators at $t = 0$
James Haglund, Brendon Rhoades, Mark Shimozono
From double quantum Schubert polynomials to k-double Schur functions via the Toda lattice
Thomas Lam, Mark Shimozono
Crystal bases and q-identities
Masato Okado, Anne Schilling, Mark Shimozono
On the X=M=K Conjecture
Mark Shimozono
A crystal to rigged configuration bijection for nonexceptional affine algebras
Masato Okado, Anne Schilling, Mark Shimozono
A uniform model for Kirillov-Reshetikhin crystals. Extended abstract
Cristian Lenart, Satoshi Naito, Daisuke Sagaki +2
Demazure structure inside Kirillov-Reshetikhin crystals
Ghislain Fourier, Anne Schilling, Mark Shimozono
X=M for symmetric powers
Anne Schilling, Mark Shimozono
Quantum double Schubert polynomials represent Schubert classes
Thomas Lam, Mark Shimozono
k-shape poset and branching of k-Schur functions
Thomas Lam, Luc Lapointe, Jennifer Morse +1
On cyclic quiver parabolic Kostka-Shoji polynomials
Daniel Orr, Mark Shimozono
Quantum Lakshmibai-Seshadri paths and root operators
Cristian Lenart, Satoshi Naito, Daisuke Sagaki +2
Schubert Polynomials for the affine Grassmannian of the symplectic group
Thomas Lam, Anne Schilling, Mark Shimozono
Four positive formulae for type A quiver polynomials
Allen Knutson, Ezra Miller, Mark Shimozono
Fermionic formulas for level-restricted generalized Kostka polynomials and coset branching functions
Anne Schilling, Mark Shimozono
Ordered set partitions, generalized coinvariant algebras, and the Delta Conjecture
James Haglund, Brendon Rhoades, Mark Shimozono
A uniform model for Kirillov-Reshetikhin crystals II. Alcove model, path model, and P=X
Cristian Lenart, Satoshi Naito, Daisuke Sagaki +2
Lusztig's q-analogue of weight multiplicity and one-dimensional sums for affine root systems
Cedric Lecouvey, Mark Shimozono
Kempf collapsing and quiver loci
Allen Knutson, Mark Shimozono
A bijection between Littlewood-Richardson tableaux and rigged configurations
Anatol N. Kirillov, Anne Schilling, Mark Shimozono
Multi-atoms and monotonicity of generalized Kostka polynomials
Mark Shimozono