Mathematical Structures
Currently: drafting the categories chapter; ~30 companion videos online. Last updated May 25, 2026.
About
A planned series of books intended as a foundation for becoming a mathematician — or for using mathematics seriously in any field where it matters. Category-native, with geometric algebra at its core, and aimed at the reader who wants to actually learn the material rather than look it up.
Books
The series is planned as at least four books. Mathematical Structures I, the foundation volume, is in progress — the only book currently underway, with the first draft of the Categories chapter just posted.
Videos
Around thirty videos on the Maps of Math YouTube channel run loosely in parallel with the writing — usually well ahead of it. The channel is where the ideas get worked out before they go into the books.