5 citations · 6 across the 4 of their papers we have counts for
5 papers
Dimensions of Group-based Phylogenetic Mixtures
Hector Baños, Nathaniel Bushek, Ruth Davidson +6
In this paper we study group-based Markov models of evolution and their mixtures. In the algebreo-geometric setting, group-based phylogenetic tree models correspond to toric variet…
Some conditions for descent of line bundles to GIT quotients
Nathaniel Bushek
We consider the descent of line bundles to GIT quotients of products of flag varieties. Let be a simple, connected, algebraic group over . We fix a Borel subgroup $…
Phylogenetic trees
Hector Baños, Nathaniel Bushek, Ruth Davidson +6
We introduce the package PhylogeneticTrees for Macaulay2 which allows users to compute phylogenetic invariants for group-based tree models. We provide some background information o…
Geometry of Centroaffine Surfaces in
Nathaniel Bushek, Jeanne N. Clelland
We use Cartan's method of moving frames to compute a complete set of local invariants for nondegenerate, 2-dimensional centroaffine surfaces in with…
Hitchin's conjecture for simply-laced Lie algebras implies that for any simple Lie algebra
Nathaniel Bushek, Shrawan Kumar
Let $\g$ be any simple Lie algebra over . Recall that there exists an embedding of into $\g$, called a principal TDS, passing through a principal nilp…