Hiking in Kentucky

My research interests lie in the field of algebraic geometry. In particular, most of my work so far uses tools from tropical geometry to study the scrollar invariants of curves.

I also like to think about algebra and combinatorics, especially coding theory, tableaux, and graph theory, and I think the Catalan numbers are super cool.


Publications and Preprints:

  1. Scrollar Invariants of Tropical Curves, with Dave Jensen, preprint arXiv 2001.02710.
  2. The AWM at the University of Kentucky, with K. Ponto and C. Slone, Fifty Years of Women in Mathematics: Reminiscences, History, and Visions for the Future of AWM. Edited by J. Beery, S. Greenwald, and C. Kessel. Springer, 2022.

SAGE Code:

  1. Code for [1.] in the case where the torsion profile is a weakly increasing sequence.
  2. Code for [1.] in the general case.
  3. Code that generates all possible torsion profiles for a chain of loops with given genus and gonality. (Developed with P. Hogan and L. Z. Baker). Example:data for genus 20, gonality 5.

I'm always happy to talk about fun math!