Hi, I’m Shelby Cox.
I am a postdoc in the Non-Linear Algebra Group at the Max Planck Institute for Mathematics in the Sciences. I work in algebraic statistics and use tools from tropical geometry, algebraic geometry, commutative algebra, and combinatorics. I am particularly interested in problems in phylogenetics.
I completed my Ph.D. at the University of Michigan with David Speyer in May 2024. I received my B.S. in mathematics and B.A. in linguistics from UMass Amherst, where I was advised by Jenia Tevelev.
Here is my CV.
I am organizing a mini-symposium on Phylogenetic Networks at SIAM-AG 2025 together with Max Hill, Annachiara Korchmaros, and Danai Deligeorgaki. See here for more details.

- spcox@umich.edu
- F3 04
Recent Papers
Tropicalizing binary geometries
(published) Le Matematiche, 2024. . Homaloidal polynomials and Gaussian models of maximum likelihood degree 1
(published) Algebraic Statistics, 2024. . Maximum Likelihood Degrees of Brownian Motion Tree Models: Star Trees and Root Invariance
(submitted) arXiv, 2024. . Group-Based Phylogenetic Models on 3-Sunlet Networks
(preprint) arXiv, 2024. . Classifying Tree Topology Changes along Tropical Line Segments
(to appear) Algebraic Statistics, 2023. . The tropical polytope is the set of all weighted tropical Fermat-Weber points
(preprint) arXiv, 2023. .
(published) Le Matematiche, 2024. . Homaloidal polynomials and Gaussian models of maximum likelihood degree 1
(published) Algebraic Statistics, 2024. . Maximum Likelihood Degrees of Brownian Motion Tree Models: Star Trees and Root Invariance
(submitted) arXiv, 2024. . Group-Based Phylogenetic Models on 3-Sunlet Networks
(preprint) arXiv, 2024. . Classifying Tree Topology Changes along Tropical Line Segments
(to appear) Algebraic Statistics, 2023. . The tropical polytope is the set of all weighted tropical Fermat-Weber points
(preprint) arXiv, 2023. .