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March 28, 2026
Geometry and the Exceptional Jordan Algebra
Posted by John Baez
I’m giving a talk online tomorrow at the 2026 Spring Southeastern Sectional Meeting of the American Mathematical Society, in the Special Session on Non-Associative Rings and Algebras. The organizers are Layla Sorkatti and Kenneth Price. I doubt the talk will be recorded, but you can see my slides.
March 20, 2026
The Agent That Doesn’t Know Itself
Posted by John Baez
guest post by William Waites
The previous post introduced the plumbing calculus: typed channels, structural morphisms, two forms of composition, and agents as stateful morphisms with a protocol for managing their state. The examples were simple. This post is about what happens when the algebra handles something genuinely complex.
To get there, we need to understand a little about how large language models work.
March 11, 2026
A Typed Language for Agent Coordination
Posted by John Baez
guest post by William Waites
How category theory can be used to help coordinate collections of interacting large language models.