Mathematical Structures
Currently: the series was reworked into focused books, and drafting has shifted to the Geometric Algebra book (foundational multilinear algebra → geometric/Clifford algebra). The Category Theory reference’s opening chapter is posted. Last updated July 5, 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 being written as several focused books, recently reworked so that the Geometric Algebra book is now the active focus — with the Category Theory reference’s first chapter 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.