5 citations · 9 across the 7 of their papers we have counts for
9 papers
Categorical valuative invariants of polyhedra and matroids
Ben Elias, Dane Miyata, Nicholas Proudfoot +1
We introduce the notion of a categorical valuative invariant of polyhedra or matroids, in which alternating sums of numerical invariants are replaced by split exact sequences in an…
Ehrhart Theory of Paving and Panhandle Matroids
Derek Hanely, Jeremy L. Martin, Daniel McGinnis +4
We show that the base polytope of any paving matroid can be systematically obtained from a hypersimplex by slicing off certain subpolytopes, namely base polytopes of latt…
Equivariant log concavity and representation stability
Jacob P. Matherne, Dane Miyata, Nicholas Proudfoot +1
We expand upon the notion of equivariant log concavity, and make equivariant log concavity conjectures for Orlik--Solomon algebras of matroids, Cordovil algebras of oriented matroi…
The graph minor theorem in topological combinatorics
Dane Miyata, Eric Ramos
We study a variety of natural constructions from topological combinatorics, including matching complexes as well as other graph complexes, from the perspective of the graph minor c…
Deletion and contraction in configuration spaces of graphs
Sanjana Agarwal, Maya Banks, Nir Gadish +1
The aim of this article is to provide space level maps between configuration spaces of graphs that are predicted by algebraic manipulations of cellular chains. More explicitly, we…
The categorical graph minor theorem
Dane Miyata, Nicholas Proudfoot, Eric Ramos
We define the graph minor category and prove that the category of contravariant representations of the graph minor category over a Noetherian ring is locally Noetherian. This can b…
Approval Gap of Weighted k-Majority Tournaments
Jeremy Coste, Breenn Flesch, Joshua D. Laison +2
A -majority tournament on a finite set of vertices is defined by a set of linear orders on , with an edge in if in a majority of the linear…
Gröbner Bases of Neural Ideals
Rebecca Garcia, Luis David García Puente, Ryan Kruse +5
The brain processes information about the environment via neural codes. The neural ideal was introduced recently as an algebraic object that can be used to better understand the co…
Neural Ideals in SageMath
Ethan Petersen, Nora Youngs, Ryan Kruse +3
A major area in neuroscience research is the study of how the brain processes spatial information. Neurons in the brain represent external stimuli via neural codes. These codes oft…