Research Interests


My research is in algebraic geometry. In particular, I use tropical geometry to study smooth algebraic curves. I utilize programming in Python and graph theory to explore surjectivity criteria for the Wahl map.


Presentations


"Application of Graph Theory to the Wahl Map," AMS Spring Sectional Meeting, Invited Speaker, Boston, Massachusetts, Mar. 2022

"Chip Firing Game on Graphs," UK Graduate Student Colloquium, Lexington, Kentucky, Feb. 2022

"Geometric Approach to Surjectivity of the Wahl Map," UK Algebra Seminar, Lexington, Kentucky, Sep. 2021

"Surjectivity of the Wahl Map," UK Qualifying Oral Exam, Lexington, Kentucky, Mar. 2021

"An Introduction to Affine Geometry," UK Graduate Student Colloquium, Lexington, Kentucky, Feb. 2020

"Tropicalization of the Max Noether Theorem," UK Master's Oral Exam, Lexington, Kentucky, Oct. 2019