Chris’s Notes
Welcome to this part of my website. I occasionally store notes under this path of my website which are listed below.
Note: A lot the elements on my site are not designed for dark mode and I’m too lazy to fix that so you need to use light mode.
[greyproof=Advanced Modern Algebra: Part 1 (3rd ed.) by Rotman] Chapter B-2: Zorn’s Lemma
- Transcendence [/greyproof]
[greyproof=An Introduction to Homological Algebra by Weibel] Chapter 1: Chain Complexes
Appendix A: Category Theory Language
- A.1 Categories [/greyproof]
[greyproof=Complex Geometry: An Introduction by Huybrechts] Chapter 1: Local Theory
Chapter 2: Complex Manifolds
- 2.1 Complex Manifolds: Definitions and Examples [/greyproof]
[greyproof=Commutative Algebra by Gathmann]
[greyproof=Ideal, Varieties, and Algorithms by Cox, Little, and O’Shea] Chapter 2: Gröbner Bases
- 2.1 Introduction
- 2.2 Ordering on the Monomials in $k[x_1, \ldots, x_n]$
- 2.3 A Division Algorithm in $k[x_1, \ldots, x_n]$
- 2.4 Monomial Ideals and Dickson’s Lemma
- 2.5 The Hilbert Basis Theorem and Gröbner Bases [/greyproof]
[greyproof=Introduction to Lie Algebras and Representation Theory by Humphreys]
- Chapter 3
- 10 Root systems [/greyproof]
[greyproof=Lectures on Modules and Rings by Lam] Chapter 7: Matrix Rings, Categories of Modules, and Morita Theory
- 7.17: Matrix Rings
- 7.18: Morita Theory of Categorical Equivalences
- 7.18A Categorical Properties [/greyproof]
[greyproof=PMC Analysis Reading Group] Meeting notes:
- 5/30/2026 [/greyproof]
[greyproof=POLYNOMIALS by Lascoux]
[greyproof=Scattered notes on cluster algebras]
- Definition of a Cluster Algebra [/greyproof]