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I am a Ph.D. Candidate in Mathematics at CU Boulder, advised by Markus Pflaum. My research interests lie in the intersection of differential geometry and mathematical physics. My current studies focus on jet theory and formal integrability of PDEs, particularly in relation to the Einstein Field Equation.
I am originally from southwestern Virginia.
I love reading, knitting/crocheting, playing piano, and animals (especially my two cats, Ernest Hemingway and George Orwell, and my cocktails of sled dogs, Toby and Ella). I live in Longmont with my husband Collin and aforementioned animals.
Education:
Ph.D. in Mathematics, University of Colorado at Boulder, 2020-present, expected graduation May 2026.
M.S. in Mathematics, Virginia Tech, 2019-2020.
B.S. in Mathematics, Virginia Tech, 2015-2019.
B.A. in Music (Piano Performance), Virginia Tech, 2015-2019.
Recent Talks (with links if available):
Formal Theory of PDEs and the Einstein Field Equation, Nonlinear Wave Seminar (CU Boulder Applied Mathematics), March 2025.
Introduction to Spencer Cohomology with Applications to PDEs, Rocky Mountain Math-Physics Seminar, October 2024.
"An Introduction to Profinite Manifolds", Rocky Mountain Math-Physics Seminar, April 2023.
"An Introduction to Jet Bundles", Rocky Mountain Math-Physics Seminar, March 2023.
"The Mathematics of General Relativity", Rocky Mountain Math-Physics Seminar, December 2022.
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