Pure Mathematics
I consider myself a pure mathematician by training. My interests are in algebra, representation theory, and low-dimensional topology. My advisor is Garrett Johnson. My masters thesis explores the relationship between essential sets — a combinatorial object — and nilpotency indices of matrices in the Weyl groups for Lie algebras of types B_n and C_n.

Applied Mathematics
I've done some work in applied topology, including studying weft-knitted textiles with physicist Sabetta Matsumoto and tangled Blackworm formations with biophysicist/bioengineer Saad Bhamla. 

Mathematics and Social Justice

• I am working with R.N. Uma (Democratizing Data Science Lab) as part of the DEDICATE project to develop accessible educational modules for non-STEM researchers interested in using data science to address social issues. 

• I am part of the Pharmacy Refusals Lab at the Quantitative Study of Inclusion, Diversity, and Equity (QSIDE) Institute, where I am using data science and statistics to quantify pharmacy refusal incidents and understand the geography/demographics of those affected by the issue. I consult with policy experts, lawyers, and advocacy organizations to understand current developments and legislation and work directly with the public to collect data and perspectives. This work is joint with Amanda Landi, Adriana Duncan, Juniper Cocomello, and others.
  
   

Last Stop on the Healthcare Train: 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
View pre-print ArXiV:2510.08384 [math.gt]

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
View pre-print ArXiV:2205.06796 [math.gt]

2026

• Last Stop on the Healthcare Train: Analysis of Patient Access to Prescription Medications,  Spectra Special Session on Research by LGBTQ+ and Allied Mathematicians, Joint Mathematics Meetings

• Creating Resilient Mathematics Students,  AMS Special Session on Compassion as a Mathematical Practice, Joint Mathematics Meetings

2025

• Creating Resilient Mathematics Students,  Professional Development Day, Durham Technical Community College

2023

• The Conway Knot is Not Slice,  Graduate-Faculty Seminar, Duke University
  (Expository Talk)

• Knot Concordance and Invariants of Knots and Links, AMS Southeastern Sectional Meeting

2021

• Computations of the Involutive Concordance Invariants of (1,1)-knots, w/ Anna Antal, Young Mathematicians Conference, The Ohio State University

• Milnor’s Invariants of Pure 3-Braids, Undergraduate Research Symposium, Georgia Institute of Technology

• Exploring the Solvability of the String Link Concordance Group, w/ Madison Ford, MATH For All,  Tulane University

• Exploring the Solvability of the String Link Concordance Group, Gulf Coast Undergraduate Research Symposium, Rice University