2 citations · 2 across the 1 of their papers we have counts for
5 papers
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…
Generic tropical initial ideals of Cohen-Macaulay algebras
Kiumars Kaveh, Christopher Manon, Takuya Murata
We study the generic tropical initial ideals of a positively graded Cohen-Macaulay algebra over an algebraically closed field . Building on work of Römer and Schmit…
Well-Poised Hypersurfaces
Joseph Cecil, Neelav Dutta, Christopher Manon +2
An ideal is said to be "well-poised" if all of the initial ideals obtained from points in the tropical variety are prime. This condition was first defined by Nathan I…
Tropical geometry and Newton-Okounkov cones for Grassmannian of planes from compactifications
Christopher Manon, Jihyeon Jessie Yang
We construct a family of compactifications of the affine cone of the Grassmannian variety of 2-planes. We show that both the tropical variety of the Plücker ideal and familiar valu…
Bounds on generators and relations for the algebra of $SL_2(\C)$ conformal blocks
Christopher Manon
We show that the Cox ring of the moduli of $SL_2(\C)$ quasi-parabolic principal bundles on a marked curve is generated by conformal blocks of level 1 and 2. We show that the ideal…