16 papers
Promotion digraphs
Rebecca Patrias, Oliver Pechenik, Jessica Striker
Work of Gaetz, Pechenik, Pfannerer, Striker, and Swanson (2024) introduced promotion permutations for a rectangular standard Young tableau . These promotion permutations encode…
Rotation-invariant web bases from hourglass plabic graphs
Christian Gaetz, Oliver Pechenik, Stephan Pfannerer +2
Webs give a diagrammatic calculus for spaces of tensor invariants. We introduce hourglass plabic graphs as a new avatar of webs, and use these to give the first rotation-invariant…
The Many Faces of Magog Matrices
Rohan Bansal, Jessica Striker
Magog matrices, introduced by Holmlund and Striker in 2025, provide a matrix model for totally symmetric self-complementary plane partitions (TSSCPPs), as a natural analogue of alt…
Toric Promotion with Reflections and Refractions
Ashleigh Adams, Colin Defant, Jessica Striker
Inspired by recent work on refraction billiards in dynamics, we introduce a notion of refraction for combinatorial billiards. This allows us to define a generalization of toric pro…
Forest webs and pattern avoidance
Jessica Striker, Bridget Eileen Tenner
In a recent preprint, Mike Cummings showed that the smooth components of suitably parametrized Springer fibers are in bijection with contracted, fully reduced Plücker degree-two $…
Webification of symmetry classes of plane partitions
Ashleigh Adams, Jessica Striker
Webs are graphical objects that give a tangible, combinatorial way to compute and classify tensor invariants. Recently, [Gaetz, Pechenik, Pfannerer, Striker, Swanson 2023+] found a…