2 citations · 5 across the 12 of their papers we have counts for
13 papers
Parabolic-equivariant modules over polynomial rings in infinitely many variables
Teresa Yu
We study the category of -equivariant modules over the infinite variable polynomial ring, where denotes the subgroup of the infinite general linear group $…
Jets and principal components of monomial ideals, and very well-covered graphs
Federico Galetto, Nicholas Iammarino, Teresa Yu
Motivated by using combinatorics to study jets of monomial ideals, we extend a definition of jets from graphs to clutters. We offer some structural results on their vertex covers,…
Polynomial functors on flags
Teresa Yu
We study generalizations of Schur functors from categories consisting of flags of vector spaces. We give different descriptions of the category of such functors in terms of represe…
Moment varieties from inverse Gaussian and gamma distributions
Oskar Henriksson, Lisa Seccia, Teresa Yu
Motivated by previous work on moment varieties for Gaussian distributions and their mixtures, we study moment varieties for two other statistically important two-parameter distribu…
Standard monomial theory modulo Frobenius in characteristic two
Laura Casabella, Teresa Yu
Over a field of characteristic two, we develop a theory of standard monomials for polynomial rings modulo a Frobenius power of the maximal ideal generated by all variables. As a re…
On Virtually Cohen-Macaulay Simplicial Complexes
Nathan Kenshur, Feiyang Lin, Sean McNally +2
We examine virtual resolutions of Stanley-Reisner ideals for a product of projective spaces. In particular, we provide sufficient conditions for a simplicial complex to be virtuall…
Completions of Uncountable Local Rings with Countable Spectra
S. Loepp, Teresa Yu
We find necessary and sufficient conditions for a complete local (Noetherian) ring to be the completion of an uncountable local (Noetherian) domain with a countable spectrum. Our r…
Completions of Countable Excellent Domains and Countable Noncatenary Domains
S. Loepp, Teresa Yu
We find necessary and sufficient conditions for a complete local ring containing the rationals to be the completion of a countable excellent local (Noetherian) domain. Furthermore,…
Gonality sequences of graphs
Ivan Aidun, Frances Dean, Ralph Morrison +2
To any graph we associate a sequence of integers called the gonality sequence of the graph, consisting of the minimum degrees of divisors of increasing rank on the graph. This is a…
Extended Nestohedra and their Face Numbers
Quang Dao, Christina Meng, Julian Wellman +3
Nestohedra are a family of convex polytopes that includes permutohedra, associahedra, and graph associahedra. In this paper, we study an extension of such polytopes, called extende…
Multi-color forcing in graphs
Chassidy Bozeman, Pamela E. Harris, Neel Jain +2
Let be a finite connected graph along with a coloring of the vertices of using the colors in a given set . In this paper, we introduce multi-color forcing, a gener…
Graphs of gonality three
Ivan Aidun, Frances Dean, Ralph Morrison +2
In 2013, Chan classified all metric hyperelliptic graphs, proving that divisorial gonality and geometric gonality are equivalent in the hyperelliptic case. We show that such a clas…
Treewidth and gonality of glued grid graphs
Ivan Aidun, Frances Dean, Ralph Morrison +2
We compute the treewidth of a family of graphs we refer to as the glued grids, consisting of the stacked prism graphs and the toroidal grids. Our main technique is constructing str…