Notes

You can read these free of charge, under the condition that all typos or errors be sent to me.

University of Illinois, Chicago

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University of Michigan

(Fall '19) Math 614 Ring Spectra, Integral Extensions, Krull Dimension, Nakayama's Lemma, Associated primes/Primary Decomposition, Cohen-Macaulay Rings, Artin-Rees Lemma, and some more Homological 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 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.

(Fall '18) Math 593 Rings, Modules, Tensors, and some Homological Algebra. These notes have solutions to possible future homework problems, and therefore will not be made public. If you are interested in seeing these, please reach out.

High School

(2015) AP US History Notes summarizing all the material for the AP Exam can be found here.

(2014) AP World History Notes summarizing all the material for the AP Exam can be found here.