38 citations · 45 across the 5 of their papers we have counts for
6 papers
Global Spherical Tropicalization via Toric Embeddings
Evan D. Nash
The first steps in defining tropicalization for spherical varieties have been taken in the last few years. There are two parts to this theory: tropicalizing subvarieties of homogen…
The Maximum Likelihood Degree of Toric Varieties
Carlos Améndola, Nathan Bliss, Isaac Burke +6
We study the maximum likelihood degree (ML degree) of toric varieties, known as discrete exponential models in statistics. By introducing scaling coefficients to the monomial param…
Convex Hull of Two Circles in R^3
Evan D. Nash, Ata Firat Pir, Frank Sottile +1
We describe convex hulls of the simplest compact space curves, reducible quartics consisting of two circles. When the circles do not meet in complex projective space, their algebra…
Tropicalizing Spherical Embeddings
Evan D. Nash
Recently, a theory for the tropicalization of a spherical homogeneous space was developed by Tassos Vogiannou. We extend his ideas to define the tropicalization of a spherica…
Betti Tables of Reducible Algebraic Curves
David J. Bruce, Pin-Hung Kao, Evan D. Nash +2
We study the Betti tables of reducible algebraic curves with a focus on connected line arrangements and provide a general formula for computing the quadratic strand of the Betti ta…
Extremal Graphs Without 4-Cycles
Frank A. Firke, Peter M. Kosek, Evan D. Nash +1
We prove an upper bound for the number of edges a C4-free graph on q^2 + q vertices can contain for q even. This upper bound is achieved whenever there is an orthogonal polarity gr…