B. Adenbaum, E. Barnard, M. Hlavacek, B. Kagy, N. R. T. Lesnevich, G. D. Nasr, K. Waddle, The poset of maximal tubings of the cycle graph is a lattice, arXiv:2510.09429, (2025).
K. Waddle, Ptolemy's equation and kin, Math. Intelligencer, (2025).
K. Waddle, Spherical friezes, arXiv:2501.03587, (2025).
M. Beck, M. Hanada, M. Hlavacek, J. Lentfer, A. R. Vindas-Meléndez, K. Waddle, Polyhedral Geometry of Refined q,t-Catalan Numbers, arXiv:2407:21226, (2024).
Here are the slides from a talk I gave several times entitled Spherical friezes.
I prefer to give interactive talks, where the audience gets to familiarize themselves with frieze patterns and related questions. I have developed a few different worksheets that I have used in pre-talks, or for talks whose audience is primarily undergraduates:
Worksheet to accompany a talk on spherical friezes for undergraduates
Worksheet for pre-talk, introduction to frieze patterns
Worksheet for pre-talk, geometry related to spherical friezes
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.