This compilation of notes was begun early 2026 with the goal of supplementing classic texts in mathematics, physics, philosophy, etc. Obviously at this point the former rather dominates the content in terms of sheer volume, but I intend on making it a more uniform distribution.
When I first started these I never thought of making them public and wrote them for purely personal reasons, so some of the earlier notes may be rough to read / have discontinuities. I tried my best to revisit these and annotate / complete them whenever possible.
Current texts in progress are:
- Lee, Introduction to Smooth Manifolds (Lee Smooth Manifolds)
- Fulton, Algebraic Curves (Fulton Algebraic Curves)
- Atiyah and Macdonald, Introduction to Commutative Algebra (Atiyah-Macdonald Commutative Algebra)
Texts that were covered previously are:
- Kreyszig, Introductory Functional Analysis with Applications (Kreyszig Functional Analysis)
- Rudin, Principles of Mathematical Analysis
- Soundararajan, Finite Fields with Applications to Combinatorics (Soundararajan Fields)
- Munkres, Topology (Munkres Topology)
Texts I plan on covering later include:
- Karatzas and Shreve, Brownian Motion and Stochastic Calculus
- Williams, Probability with Martingales
- Fulton, Intersection Theory
And, finally, all miscellaneous notes linked to classes / life experiences are here: Miscellaneous
As a super-final aside, all these notes are written by me personally, and AI was used solely for formatting purposes and finding minor notation issues and gaps in my proofs after writing them. Please feel free to reach out to brhan@stanford.edu if there are any mistakes :)