We introduce two families of symmetric functions generalizing the factorial Schur P-and Q-
functions due to Ivanov. We call them K-theoretic analogues of factorial Schur P-and Q …

The irreducible representations of symmetric groups can be realized as certain graded
pieces of invariant rings, equivalently as global sections of line bundles on partial flag …

We introduce a new concept of resonance on discrete dynamical systems. This concept
formalizes the observation that, in various combinatorially-natural cyclic group actions, orbit …

Abstract Based on Thomas and Yong's K-theoretic jeu de taquin algorithm, we prove a
uniform Littlewood–Richardson rule for the K-theoretic Schubert structure constants of all …

We explain how genomic tableaux [Pechenik–Yong'15] are a semistandard complement to
increasing tableaux [Thomas–Yong'09]. From this perspective, one inherits genomic …

We say two posets are doppelgängers if they have the same number of P-partitions of each
height k. We give a uniform framework for bijective proofs that posets are doppelgängers by …

We prove Pieri formulas for the multiplication with special Schubert classes in the K-theory of
all cominuscule Grassmannians. For Grassmannians of type A this gives a new proof of a …

Combinatorial formulas for shifted dual stable Grothendieck polynomials Page 1 Forum of
Mathematics, Sigma (2024), Vol. 12:e22 1–45 doi:10.1017/fms.2024.8 RESEARCH ARTICLE …

We define a K-theoretic analogue of Fomin's dual graded graphs, which we call dual filtered
graphs. The key formula in the definition is DU− UD= D+I. Our major examples are K …

Patrias and Pylyavskyy introduced shifted Hecke insertion as an application of their theory of
dual filtered graphs. We study shifted Hecke insertion, showing it preserves descent sets …