Writing
Notes
Expository notes and other writing.- 3-Manifolds Notes (2025)
These are class notes from a course on 3-manifolds taught by Danny Calegari and Benson Farb in Fall 2024. There are still some comments and unfinished ideas. All mistakes are my own.
- Foliating Three-Dimensional Manifolds by Surfaces (2025)
This is my topics proposal for my PhD candidacy exam. It covers Riemann surfaces, mapping class groups, and foliations on three-manifolds.
- Unpacking Thurston's Theorem for post-critically finite maps (2024)
This is my final paper for Differential Topology at U Chicago.
- All knotted up (2024)
An exploration of the mathematics of designing crochet patterns for Seifert surfaces. This writeup was for the Big Internet Math-Off in 2024.
- (Con)figuring out spaces (2024)
An introduction to the configuration space of points using dancers on a stage as an example. This writeup was for the Big Internet Math-Off in 2024. I discuss these same ideas in a dance film.
- The Platonic Solids Strike Again! (2020)
This was my final paper for my undergraduate complex analysis class. It covers Mobius transformations, some basic group theory, and the classification of finite 3-dimensional rotation groups.
Papers
Writing containing original ideas. Some published, some not.- Curve Stitching and Dancing Planets. (2024) pdf. (to appear in The Mathematical Intelligencer)
- A characterization of two-dimensional Buchsbaum matching complexes. (2023) Joint with Bennet Goeckner, Legrand Jones, Rowan Rowlands. Published in the Electric Journal of Combinatorics. arxiv.
- Iterated Jump Graphs. (2022) Joint with Legrand Jones. Published in Rose-Hulman undergraduate journal. arxiv.
- All cellular strings on polytopes at once.(2022) Senior thesis. print.
