120 citations · 353 across the 54 of their papers we have counts for
66 papers
Equivariant resolutions over Veronese rings
Ayah Almousa, Michael Perlman, Alexandra Pevzner +2
Working in a polynomial ring where is an arbitrary commutative ring with , we consider the Veronese subalgebras ,…
Invariant Theory for the free left-regular band and a q-analogue
Sarah Brauner, Patricia Commins, Victor Reiner
We examine from an invariant theory viewpoint the monoid algebras for two monoids having large symmetry groups. The first monoid is the free left-regular band on letters, defin…
Topology of augmented Bergman complexes
Elisabeth Bullock, Aidan Kelley, Victor Reiner +6
The augmented Bergman complex of a matroid is a simplicial complex introduced recently in work of Braden, Huh, Matherne, Proudfoot and Wang. It may be viewed as a hybrid of two wel…
The "Grothendieck to Lascoux" conjecture
Victor Reiner, Alexander Yong
This report formulates a conjectural combinatorial rule that positively expands Grothendieck polynomials into Lascoux polynomials. It generalizes one such formula expanding Schuber…
Filtering cohomology of ordinary and Lagrangian Grassmannians
The 2020 Polymath Jr. REU "q-binomials, the Grassmannian group", : +31
This paper studies, for a positive integer , the subalgebra of the cohomology ring of the complex Grassmannians generated by the elements of degree at most . We build in two…
A colorful Hochster formula and universal parameters for face rings
Ashleigh Adams, Victor Reiner
This paper has two related parts. The first generalizes Hochster's formula on resolutions of Stanley-Reisner rings to a colorful version, applicable to any proper vertex-coloring o…