Here you can find links to my LaTeX notes for some of the graduate classes I've taken at UCR. The idea of typing up my hand-written notes as I have started was inspired by Shane Rankin, whose notes seem to have become almost legendary amongst the graduate students in the mathematics department here. Typing up my notes gives me the chance mull over all the material we cover in class while also practicing writing in LaTeX. Even further, if people miss class, I can offer them notes that they actually have a decent chance of being able to read while also being able to hopefully provide extra insight and intuition on more difficult concepts.
As a warning, these notes are almost definitely riddled with typos, so keep an eye out for them. There shouldn't be anything so bad that with a little thinking, you'll be able to figure out what I actually meant to say, but feel free to contact me if you come across some difficulties.
Notes (Last updated: 20 August 2025)
Instructors: Part A - Dr. Carl Mautner, Part B - Dr. Peter Samuelson, Part C - Dr. Bun Wong
Notes (Last updated: 17 July 2025)
Instructors: Part A - Dr. Agnieszka Zelerowicz, Part B - Dr. Qi Zhang, Part C - Dr. Zhenghe Zhang
These notes are inspired by our (incredibly brief) introduction to categories from Dr. Samuelson's MATH 205B class.
These notes are for a Fall 2025 reading course I'm doing with Dr. Peter Samuelson. It's mostly just filling in gaps from Fulton and Harris's book along with solutions to some exercises, but I plan on splicing in extra material about basic properties Lie groups and Lie algebras from Lee's Smooth Manifolds. Warning! These are very much still in the works and some exercises haven't even been fully completed yet.