3 citations · 9 across the 21 of their papers we have counts for
25 papers
Graded Betti numbers of graded Möbius algebras of uniform matroids
Louiza Fouli, Sean Grate, Selvi Kara +5
Graded Möbius algebras were a key tool in the proof of the Dowling-Wilson Top Heavy Conjecture. They are commutative algebras whose Hilbert functions recover the Whitney numbers of…
Asymptotic Resurgence of Facet ideals of Graphic Matroids
Michael DiPasquale, Louiza Fouli, Arvind Kumar
Our main results are an upper bound on the asymptotic resurgence of the facet ideal of a graphic matroid in terms of the number of vertices and a lower bound in terms of the circum…
Asymptotic Resurgence of Facet and Stanley-Reisner ideals of Matroids
Michael DiPasquale, Louiza Fouli, Arvind Kumar
Matroid configurations -- introduced by Geramita, Harbourne, Migliore, and Nagel -- are projective varieties which generalize so-called \textit{star configurations} and whose defin…
Regular sequences of linear forms on monomial ideals
Louiza Fouli, Tài Huy Hà, Susan Morey
In this paper we establish a means of using the combinatorics associated to a general monomial ideal in a polynomial ring to find a regular sequence of linear forms on $R/I…
Gorenstein Special Fiber Rings of Ladder Determinantal Modules
Louiza Fouli, Kuei-Nuan Lin, Haydee Lindo +1
A ladder determinantal module is an arbitrary direct sum of ideals of maximal minors of a generic ladder matrix. In this article, we give necessary and sufficient conditions for th…
Algebraic invariants of special fiber rings of ladder determinantal modules
Alessandra Costantini, Louiza Fouli, Kriti Goel +4
We provide explicit formulas for key invariants of special fiber rings of ladder determinantal modules, that is, modules that are direct sums of ideals of maximal minors of a ladde…