taylor-dupuy.bsky.social
@taylor-dupuy.bsky.social
The second paper for Clifford-Bianchi groups is out:
arxiv.org/abs/2409.20529

This came from an undergraduate research project generalizing the relationship between SL2(ZZ) and the Ford Circles to higher dimensions using Clifford-Bianchi groups.
Ford Spheres in the Clifford-Bianchi Setting
We define Ford Spheres $\mathcal{P}$ in hyperbolic $n$-space associated to Clifford-Bianchi groups $PSL_2(O)$ for $O$ orders in rational Clifford algebras associated to positive definite, integral, pr...
arxiv.org
October 1, 2024 at 1:23 PM
Welp, my Twitter was hacked.

I was able to change the password but still can’t log in because they set up some 2FA code-generator app that I don’t have access too.

Twitter has become a real shit show.
September 20, 2024 at 7:28 PM
My new paper with Anton Hilado, Colin Ingalls, and Adam Logan on Clifford-Bianchi groups is out:

arxiv.org/abs/2407.19122
The Basic Theory of Clifford-Bianchi Groups for Hyperbolic n-Space
Let $K$ be a $\mathbb{Q}$-Clifford algebra associated to an $(n-1)$-ary positive definite quadratic form and let $\mathcal{O}$ be a maximal order in $K$. A Clifford-Bianchi group is a group of the...
arxiv.org
July 30, 2024 at 3:10 PM