These notes are mainly adapted from the year-long graduate algebra sequence at UC San Diego, each file corresponding to one quarter's contents.
Group Theory and Ring Theory: https://www.overleaf.com/read/tfdcfhrgcwvr#450f96
Module Theory and Field Theory: https://www.overleaf.com/read/zzvktynmxzfc#ae7c29
Commutative Algebra: https://www.overleaf.com/read/bmnqmjhwcyqt#212c61
Notes and Solutions to Exercises on Algebraic Geometry by Robin Hartshorne (Currently at Chapter I Section 6, Nonsingular Curves): https://www.overleaf.com/read/yszjrhwprftv#75df6c
Basic Homotopy Theory, Homology and Cohomology https://www.overleaf.com/read/jhzqwgsvgrhz#fbab1d (Actively Upadating)
Roughly Based on John Lee's Introduction to Smooth Manifolds (but more algebraically inclined) https://www.overleaf.com/read/sdyddqyfswfc#4115d9 (Actively Updating)