EDIT: I’ve reworked this to a simpler curriculum that will be easier for me to complete while I’m also having to learn so much for work.
I’ve designed my own course of advanced study for two reasons. The first is that a standard PhD program isn’t an option: fellowships don’t pay enough to support a family. The second is that my ideal course of study straddles the line between mathematics, philosophy, and the sciences in a way that’s difficult to capture within a traditional graduate program. It’s a generalist’s curriculum rather than a specialist’s.
For the first two years I will be following the Foundations of Applied Mathematics series used by the Applied & Computational Mathematics program at BYU, with the addition of coursework in algebraic structures and applied category theory to expand the program’s formal modeling vocabulary.
The next years will be a lot more free-form, but generally focused on formal theories in science, philosophy, and systems design that I find interesting.
Year One: Foundations of Applied Mathematics
Year Two: Modeling with Mathematics
Year Three+: Formal Theories in Science, Philosophy, and Systems Design
Written on: November 1, 2024