Topology: Low-Dimensional Topology, Geometric Topology, Knot Theory, Heegaard Floer Homology, Knot Concordance, Applied Topology

Data: Data Science, Topological Data Analysis, Survey Design and Analysis

Misc.: Mathematics & Social Justice, Political Re-Districting, Equitable Mathematics Education, Civil & Human Rights Issues

I am part of the Pharmacy Refusals Lab at the Quantitative Study of Inclusion, Diversity, and Equity (QSIDE) Institute. I use tools from data science and statistics to quantify pharmacy refusal incidents and understand the geography/demographics of those affected by the issue. This work is joint with Amanda Landi, Adriana Duncan, Juniper Cocomello, Alex Fulk, and others.

My research involves a heavy social science/political science component. I consult with lawyers, advocacy organizations, and activists, and often work directly with the public to collect data and perspectives. 

Evidence-Based Analysis of Pharmacy Accessibility
with Amanda Landi, Alexander Fulk, Juniper Cocomello-Hayes
In preparation; draft available upon request.

A study of two-periodic weft-knitted textiles using the theory of knots and links
with Miriam Kuzbary, Shashank Markande, Elisabetta Matsumoto
In preparation. (Draft available upon request)

A Note on the Involutive Concordance Invariants for Certain (1,1) Knots
with Anna Antal
Rose Hulman Undergraduate Mathematics Journal, Vol. 24, Issue 1, 2023
(ArXiV: abs: 2205.06796)