Math Topics
A collection of mathematical leverage maps covering core domains of modern mathematics, each designed to provide orientation, key concepts, signature theorems, and connections to other fields.
These came about when I was wanting to get ammunition for intuition. This is further ammunition Katiya’s intuition for the structure of maths.
They will read a little odd as they came from discussions with Claude where we were messing about trying to get at mental structures to understand a wide variety of math fields. They’re for future reference as a pure outline NOT intended as any form of rigorous treatment, homework help or anything like that. However, if they prove vaguely useful or interesting to you, do say hi.
December 2025
- Spectral Theory: Leverage Map
- Singular Value Decomposition & Principal Component Analysis
- Representation Theory: Leverage Map
- Probability Theory: Leverage Map
- Optimization: Leverage Map
- Number Theory: Leverage Map
- Measure Theory: Leverage Map
- Mathematical Physics: Leverage Map
- Logic and Foundations: Leverage Map
- Lie Theory: Leverage Map
- Information Theory: Leverage Map
- Information Geometry: Leverage Map
- Homotopy Type Theory: Leverage Map
- Harmonic Analysis: Leverage Map
- Functional Analysis: Leverage Map
- Dynamical Systems: Leverage Map
- Differential Geometry: Leverage Map
- Complex Analysis: Leverage Map
- Combinatorics: Leverage Map
- Category Theory: Leverage Map
- Arithmetic Geometry: Leverage Map
- Algebraic Topology: Leverage Map
- Algebraic Geometry: Leverage Map