Lipschitz Spinors and Hyperbolic n-Space
Abstract
Spinors are mathematically fascinating objects, even putting aside their importance to physics. My work explores connections between a generalised type of spinor and hyperbolic geometry, building on the work of my supervisor Daniel Mathews. Using these new tools, we can also prove interesting facts about arrangements of circles called circle packings, including an extension of a centuries old result due to Descartes.
Fields of Study & Subjects
Mathematics and Applications
Geometric and Algebraic Topology
Algebraic and Geometric Analysis
Publication details
- Journal / source
- Monash University
- Publication date
- 1 January 2026
- Language
- EN
- Document type
- Thesis