64 citations · 174 across the 20 of their papers we have counts for
29 papers
Projective hypersurfaces in tropical scheme theory I: the Macaulay ideal
Alex Fink, Jeffrey Giansiracusa, Noah Giansiracusa +1
A "tropical ideal" is an ideal in the idempotent semiring of tropical polynomials that is also, degree by degree, a tropical linear space. We introduce a construction based on tran…
Point configurations, phylogenetic trees, and dissimilarity vectors
Alessio Caminata, Noah Giansiracusa, Han-Bom Moon +1
In 2004 Pachter and Speyer introduced the higher dissimilarity maps for phylogenetic trees and asked two important questions about their relation to the tropical Grassmannian. Mult…
Chow quotients of Grassmannians by diagonal subtori
Noah Giansiracusa, Xian Wu
The literature on maximal torus orbits in the Grassmannian is vast; in this paper we initiate a program to extend this to diagonal subtori. Our main focus is generalizing portions…
Fibonacci, golden ratio, and vector bundles
Noah Giansiracusa
There is a family of vector bundles over the moduli space of stable curves that, while first appearing in theoretical physics, has been an active topic of study for algebraic geome…
Computational geometry and the U.S. Supreme Court
Noah Giansiracusa, Cameron Ricciardi
We use the United States Supreme Court as an illuminative context in which to discuss three different spatial voting preference models: an instance of the widely used single-peaked…
Matroidal representations of groups
Noah Giansiracusa, Jacob Manaker
We develop the rudiments of a finite-dimensional representation theory of groups over idempotent semifields by considering linear actions on tropical linear spaces. This can be con…