9 citations · 17 across the 9 of their papers we have counts for
10 papers
Shuffling the Deck: Invariant Theory and the Graph Reconstruction Conjecture
Emilie Dufresne, Gabriela Jeronimo, Jenny Kenkel +2
The graph reconstruction conjecture asserts that every simple graph on at least three vertices is uniquely determined by its deck of vertex-deleted subgraphs. In this expository ar…
On Lengths of
Fiona Han, Jennifer Kenkel, Daniel Li +2
In this paper, we provide a formula for the vector space dimension of the ring over when all li…
Asymptotic Behavior of Differential Powers
Jennifer Kenkel, Lillian McPherson, Janet Page +3
In this paper, we study the differential power operation on ideals. We begin with a focus on monomial ideals in characteristic 0 and find a class of ideals whose differential power…
Lower Bounds on the F-pure Threshold and Extremal Singularities
Zhibek Kadyrsizova, Jennifer Kenkel, Janet Page +4
We prove that if is a reduced homogenous polynomial of degree , then its -pure threshold at the unique homogeneous maximal ideal is at least . We show, fur…
Cubic Surfaces of Characteristic Two
Zhibek Kadyrsizova, Jennifer Kenkel, Janet Page +4
Cubic surfaces in characteristic two are investigated from the point of view of prime characteristic commutative algebra. In particular, we prove that, the non-Frobenius split cubi…
Isomorphisms Between Local Cohomology Modules As Truncations of Taylor Series
Jennifer Kenkel
Let be a standard graded polynomial ring that is finitely generated over a field, and let be a homogenous prime ideal of . Bhatt, Blickle, Lyubeznik, Singh, and Zhang ex…
-nilpotent rings and permanence properties
Jennifer Kenkel, Kyle Maddox, Thomas Polstra +1
We explore the singularity classes -nilpotent, weakly -nilpotent, and generalized weakly -nilpotent under faithfully flat local ring maps. As an application, we show that…
Lengths of Local Cohomology of Thickenings
Jennifer Kenkel
Let be a standard graded polynomial ring that is finitely generated over a field of characteristic , let be the homogeneous maximal ideal of , and let …
Optimal Packings of Two to Four Equal Circles on Any Flat Torus
Madeline Brandt, William Dickinson, AnnaVictoria Ellsworth +2
We find explicit formulas for the radii and locations of the circles in all the optimally dense packings of two, three or four equal circles on any flat torus, defined to be the qu…
Determinantal Generalizations of Instrumental Variables
Luca Weihs, Bill Robinson, Emilie Dufresne +6
Linear structural equation models relate the components of a random vector using linear interdependencies and Gaussian noise. Each such model can be naturally associated with a mix…