Griffin Edwards

Griffin Edwards

he/him

Mathematics Ph.D. candidate studying algebraic combinatorics with a minor in the Center for Teaching and Learning.

Research

I am currently working as a student under Matt Baker at the Georgia Institute of Technology. My research is in algebraic combinatorics, especially matroid theory and its connections with tropical geometry, algebraic geometry, and pastures. My dissertation has the working title Dressians of Matroids through Pastures.

Current projects

Papers

  • Foundations of Elliptic Matroids, with Matthew Baker and Noah Solomon. Manuscript in preparation.
  • Foundations of Matroids, Part 3, with Matthew Baker and Oliver Lorscheid. Manuscript in preparation.
  • Tropical Point Configurations and Valuated Matroids. Manuscript in preparation.

Macaulay2

  • Pastures, a Macaulay2 package, with Justin Chen and Tianyi Zhang.
  • Rigidity, a Macaulay2 package, with Kalina Mincheva, Daniel Irving Bernstein, and additional collaborators, in preperation.

Selected contribution

I computationally verified the conjectured reduced-Dressian behavior of the elliptic matroids $T_n$ for $7 \leq n \leq 26$. This computation is acknowledged in Baker–Huh–Kummer–Lorscheid, Lorentzian Polynomials and Matroids over Triangular Hyperfields (2025).

Presentations

  • Title to be announced, Tulane University, November 18, 2026.
  • Tropical Elliptic Curves and Matroids, poster at the ISM Discovery School, Combinatorics of Moduli of Curves, LACIM, Montréal, May 11–15, 2026.
  • Computer Algebra Club/Seminar presentation, Georgia Tech, November 6, 2025.
  • Algebra from Projective Geometry, Algebra Student Seminar, Georgia Tech, November 17, 2023.

Workshops and conferences attended

  • Future of Macaulay2, contributor, Georgia Tech, Atlanta, May 2026.
  • Montreal ISM Discovery School: Combinatorics of Moduli of Curves, LACIM, Montréal, May, 2026.
  • Macaulay2 Workshop, contributor, Tulane University, New Orleans, April 2025.
  • Tropical Geometry: Moduli Spaces and Matroids, Goethe University, Frankfurt, October 2024.
  • Macaulay2, Computational Algebraic Geometry and String Theory, contributor, May 2024.
  • Arizona Winter School 2023: Unlikely Intersections, University of Arizona, Tucson, March 2023.
  • Connecticut Summer School in Number Theory, University of Connecticut Storres, June 2022.