K. Waddle, Ptolemy's equation and kin (2025) arXiv:2507.10444
K. Waddle, Spherical friezes (2025) arXiv:2501.03587
M. Beck, M. Hanada, M. Hlavacek, J. Lentfer, A. R. Vindas-Meléndez, K. Waddle, Polyhedral Geometry of Refined q,t-Catalan Numbers (2024) arXiv:2407:21226
In May of 2020 I completed a master's thesis with advisors Dustin Ross and Emily Clader at San Francisco State University.
My thesis explored how graph theory can answer complexity questions in algebraic geometry. A given variety (the solution set of a system of polynomials) has an associated incidence graph, which assigns each irreducible component a vertex, and has an edge between two vertices if their corresponding components intersect. My thesis project explored which graphs can be realized as incidence graphs of algebraic curves.
In 2008 I participated in the University of Chicago REU, and wrote a paper about the Grigorchuk group.
In 2007 I participated in the University of Chicago REU, and wrote a paper about group actions on trees.
In 2006 I was a student assistant in the Aaron Dinner chemistry research group at the University of Chicago.