I first taught and tutored at SCC in 2006, and I now teach there full-time. I also taught Algebra at the University of La Verne in California in 2008. Before all that, I taught Discrete Mathematics in the summers at the University of California, Riverside. You may want to look at the web pages for these and other earlier courses. Or see the most up-to-date version of my Calculus notes.
In 2006, I got my PhD working under John Baez. My doctoral dissertation is Higher Gauge Theory I: 2-Bundles, which categorifies the concept of fibre bundle to the (algebraically) higher-dimensional concept of 2-bundle and proves the equivalence (in appropriate cases) of 2-bundles and gerbes. This was part of John's work on higher gauge theory.
I also have some short expository notes on other subjects in mathematics and mathematical physics. In a different style, there's Oz's crib sheet. Most of my mathematical work that has been published (made available to the public) is unreviewed collaborative work on the nLab (n-Category Lab), a specialist wiki for higher-dimensional mathematics.
However, in the days before such sites, I once impulsively copied the Statement of Murder Victims' Families for Reconciliation on the Execution of Timothy McVeigh. Now my website seems to be the only place where it can be reliably found, so I keep it up. While I support their position, I'm not affiliated with the organization.
I also used to be heavily involved with the Common Root Mutual Aid Center, so check them out.
The permanent URI of this web page
is
https://tobybartels.name/.