Math-Notes

Math Notes

Basics of Algebra

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

Algebraic Geometry

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

Algebraic Topology

Basic Homotopy Theory, Homology and Cohomology https://www.overleaf.com/read/jhzqwgsvgrhz#fbab1d (Actively Upadating)

Differential Geometry

Roughly Based on John Lee’s Introduction to Smooth Manifolds (but more algebraically inclined) https://www.overleaf.com/read/sdyddqyfswfc#4115d9 (Actively Updating)