Research

My research interests are in analysis on metric spaces and metric geometry.

• Geometric function theory: quasiconformal, quasisymmetric, and bi-Lipschitz mappings.

• Sub-Riemannian geometry.

Papers and Preprints

• Quasisymmetric rectifiability of uniformly disconnected sets [arxiv] (with V. Vellis), 2025.

• Bi-Lipschitz arcs in metric spaces with controlled geometry [arxiv] [journal] (with V. Vellis and S. Zimmerman) Rev. Mat. Iberoam., 40(5):1887--1916, 2024.

• Closed Neighborhood Ideals of Finite Simple Graphs [arxiv] [journal](with K. Sather-Wagstaff) La Matematica, 1:387--394, 2021.

• Using Data Assimilation to Better Predict Contaminant Transport [journal] (with H. Johnson and S. Kelly) SIAM Undergraduate Research Online, 11, 2018.

Mentoring

• Undergraduate Research Mentor - the Analyst's Traveling Salesman Problem,  Knoxville Math Lab - University of Tennessee, Knoxville, Fall 2024 -- Spring 2025

Research Statement