22 citations · 134 across the 13 of their papers we have counts for
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Hilbert-Poincaré series of matroid Chow rings and intersection cohomology
Luis Ferroni, Jacob P. Matherne, Matthew Stevens +1
We study the Hilbert series of four objects arising in the Chow-theoretic and Kazhdan-Lusztig framework of matroids. These are, respectively, the Hilbert series of the Chow ring, t…
Valuative invariants for large classes of matroids
Luis Ferroni, Benjamin Schröter
We study an operation in matroid theory that allows one to transition a given matroid into another with more bases via relaxing a \emph{stressed subset}. This framework provides a…
The Merino--Welsh conjecture for split matroids
Luis Ferroni, Benjamin Schröter
In 1999 Merino and Welsh conjectured that evaluations of the Tutte polynomial of a graph satisfy an inequality. In this short article we show that the conjecture generalized to mat…
Lattice points in slices of prisms
Luis Ferroni, Daniel McGinnis
We conduct a systematic study of the Ehrhart theory of certain slices of rectangular prisms. Our polytopes are generalizations of the hypersimplex and are contained in the larger c…