39 citations · 73 across the 20 of their papers we have counts for
12 papers · 1 filter
Iterated and mixed discriminants
Alicia Dickenstein, Sandra di Rocco, Ralph Morrison
We consider systems of Laurent polynomials with support on a fixed point configuration. In the non-defective case, the closure of the locus of coefficients giving a non-degenerate…
Moduli dimensions of lattice polygons
Marino Echavarria, Max Everett, Shinyu Huang +5
Given a lattice polygon with interior lattice points, we associate to it the moduli space of tropical curves of genus with Newton polygon . We completely classify th…
Prism graphs in tropical plane curves
Liza Jacoby, Ralph Morrison, Ben Weber
Any smooth tropical plane curve contains a distinguished trivalent graph called its skeleton. In 2020 Morrison and Tewari proved that the so-called big face graphs cannot be the sk…
The moduli space of tropical curves with fixed Newton polygon
Desmond Coles, Neelav Dutta, Sifan Jiang +2
Given a lattice polygon, we study the moduli space of all tropical plane curves with that Newton polygon. We determine a formula for the dimension of this space in terms of combina…
Tropical geometry
Ralph Morrison
Tropical mathematics redefines the rules of arithmetic by replacing addition with taking a maximum, and by replacing multiplication with addition. After briefly discussing a tropic…
Tropically planar graphs
Desmond Coles, Neelav Dutta, Sifan Jiang +2
We study tropically planar graphs, which are the graphs that appear in smooth tropical plane curves. We develop necessary conditions for graphs to be tropically planar, and compute…