#Senior Thesis 2026

My senior thesis in math illustration is looking to generate new intuition for certain data and objects by visualizing them in non-euclidean spaces using computer graphics.

Follow my progress at the project website .

#Summer 2025

“Asymptotic Invariants of Symbolic Powers of Binomial Edge Ideals” with Dennis Belotserkovskiy, Mariana Landín, and Lizzy Teryoshin. Submitted, 2025. arXiv.

Research on binomial edge ideals with faculty from University of Nebraska-Lincoln and Centro de Investigación en Matemáticas in Mexico as part of the International REU in Commutative Algebra 2025.

Selected to present at Joint Mathematics Meetings.

Delivered a presentation on our work at CIMAT recorded here .

Wrote and animated the following expository video (with Bryan E. Flores-Silva and Zoe Siegelnickel):

A video introduction to binomial edge ideals

#Summer 2024

“Propogation of Solutions of Binary and Ternary Quadratic Forms” with Alex Lattal, and Corey Brooke . 2024, In preparation.

Research on organizing integer solutions of quadratic forms as trees parameterized by matrix representations of free groups. Delivered a 25-minute presentation on our results to our summer research peers.

#Summer 2023

“Magnetic Configurations in Mesoscale Magnetic Dots” with Grace Gatewood, Petros Van den Heuvel, and Barry Costanzi .

Modeled energy landscapes of 250nm permalloy dots in Golang/Python. Implemented system for managing simulations using Github. Assembled and operated our sputtering system, for depositing metal features used in experiments. Processed samples, wrote LabVIEW code for measurement taking. Used a scanning electron microscope to image our samples for computer simulations. Results given in a poster session: “Magnetic Configurations in Mesoscale Magnetic Dots’’ Student Research and Internship Symposium. Carleton College, Northfield, MN, October 2023.