4 papers
Derangement permutation matrices and orbit harmonics
Yupeng Li, Jasper Liu, Brendon Rhoades
Let be an matrix of variables and let be the polynomial ring over these variables where $\mathbb{F}…
Shellability of the quotient order on lattice path matroids
Carolina Benedetti, Anton Dochtermann, Kolja Knauer +1
The concept of a matroid quotient has connections to fundamental questions in the geometry of flag varieties. In previous work, Benedetti and Knauer characterized quotients in the…
Log-concavity of polynomials arising from equivariant cohomology
Yairon Cid-Ruiz, Yupeng Li, Jacob P. Matherne
We study the equivariant cohomology classes of torus-equivariant subvarieties of the space of matrices. For a large class of torus actions, we prove that the polynomials representi…
Minimal resolutions of lattice ideals
Yupeng Li, Ezra Miller, Erika Ordog
A canonical minimal free resolution of an arbitrary co-artinian lattice ideal over the polynomial ring is constructed over any field whose characteristic is 0 or any but finitely m…