2 citations · 3 across the 5 of their papers we have counts for
6 papers
Computing Jet Differentials and the Green-Griffiths-Lang Conjecture for Complements of Smooth Plane Curves
Ryan Contreras, Joseph Cummings, Eric Riedl +1
We study the Green-Griffiths-Lang Conjecture for complements of smooth plane curves. We develop an effective method for computing a family of negatively twisted invariant logarithm…
Multi-graded Macaulay Dual Spaces
Joseph Cummings, Jonathan Hauenstein
We describe an algorithm for computing Macaulay dual spaces for multi-graded ideals. For homogeneous ideals, the natural grading is inherited by the Macaulay dual space which has b…
A Fano compactification of the free group character variety
Joseph Cummings, Christopher Manon
We show that a certain compactification of the free group character variety is Fano. This…
Invariants for level-1 phylogenetic networks under the Cavendar-Farris-Neyman Model
Joseph Cummings, Benjamin Hollering, Christopher Manon
Phylogenetic networks can model more complicated evolutionary phenomena that trees fail to capture such as horizontal gene transfer and hybridization. The same Markov models that a…
The well-poised property and torus quotients
Joseph Cummings, Christopher Manon
An embedded variety is said to be well-poised when the associated initial ideal degenerations coming from points of the tropical variety are reduced and irreducible. Varieties with…
Generalized Cut Polytopes for Binary Hierarchical Models
Jane Ivy Coons, Joseph Cummings, Benjamin Hollering +1
Marginal polytopes are important geometric objects that arise in statistics as the polytopes underlying hierarchical log-linear models. These polytopes can be used to answer geomet…