There’s an increasing number of things I feel I need to know but don’t. This is a list of some of them.

It’s easier to pick out things that are sort of math-y or technical, though there are definitely lots of other things I want to be better at.

These are arranged by how much I feel like I ought to know them. I’ve learned a little bit about most of these, but I need to learn a lot more.

Much of this could be folded into “About the same math that would be known by the average undergraduate math senior.”

One textbook’s worth or more

• Probability and Statistics
• Machine Learning / Deep Learning
• Deep Reinforcement Learning
• Abstract Algebra
• Real Analysis
• Metamathematics
• Philosophy of Mind
• Optimization
• Lagrangian Mechanics
• Game Theory
• Vector Calculus

Half a textbook’s worth, or the full documentation

• Anthropics
• Numerical Analysis
• Category Theory
• Differential Equations
• Computational Geometry
• Microeconomics
• PostgreSQL or SQLite
• Blockchain
• GNU Guile
• Rust
• Tensorflow
• Pyro, Edward, or some other PPL
• Visual Studio Code
• Cryptography

A couple of chapters of a textbook, passing familiarity

• Quantum Mechanics
• Complex Analysis
• Macroeconomics
• Haskell
• Racket
• Bazel