# Notes

You can read these free of charge, under the condition that all typos or errors be sent to me. As my note taking ability has improved over time, these notes are also listed in descending order of quality.

## University of Illinois, Chicago

(Fall '23) Perfectoid Spaces (Mini-Course) These are notes from a mini-course on Perfectoid Spaces taught by Kevin Tucker at UIC. This is meant to be a gentle and brief introduction that assumes as little background as possible. The notes can be found here.

(Summer '23) MSRI/SLMath CMND Summer School 2023 These are notes from the SLMath (formerly MSRI) summer school at the University of Notre Dame on Commutative Algebra and its Interaction with Algebraic Geometry. The notes can be found here.

(Spring '23) Math 553: Algebraic Geometry II This course covered chapters 2-3 of Hartshorne's book. The notes can be found here.

(Fall '22) Math 520: Commutative Algebra This is a good companion set of notes to the last time I took commutative algebra at the University of Michigan; this class is far more algebraic and results driven, whereas the former course was more geometric and computation driven. The notes for this course can be found here.

(Fall '22) Math 554: Complex Manifolds While these notes are only for a bit more than half the course, they are organized and (relatively) consistent. These notes loosely follow Otto Forster's Lectures on Riemann Surfaces book. The link to them can be found here.

## University of Michigan

(Fall '19) Math 614: Commutative Algebra More detailed course information can be found here. The (mostly complete) solutions to the in class IBLs can be found here.

(Winter '19) Math 594: Graduate Algebra II Groups, Fields, Representations, Galois Theory, and some Algebraic Number Theory. More detailed course information can be found here. (Mostly finished) TeXed notes can be found here.