Last Updated: January 5th, 2020.
Mathematics Notes
Lectures and Courses
Étale Cohomology
Moduli Spaces
Algebraic Curves
Algebraic Groups
Algebraic Geometry
General Notes
Undergraduate Compendium
A giant study guide of undergraduate topics I wrote while studying for the Mathematics Subject GRE.
(Self study, Spring 2017)
Transcriptions / Notes on Talks

Kirsten Wickelgren: A1 Enumerative Geometry (Arizona Winter School, 2019)

Matthew Morrow: Topological Hochschild Homology in Arithmetic Geometry (Arizona Winter School, 2019)
Expository Writing

A note on motivating and using semidirect products to classifying finite groups: PDF

Classifying groups of order $pq$ using semidirect products: PDF

An expository paper on the history of modern Algebraic Geometry (2017): PDF
Twitter Threads
Links to Notes by Others
Note: If you you write and share LaTeX notes, please let me know and I’d be happy to link your site here!
 Aleksander Shmakov has some notes posted on his website.
 Arun Debray maintains a page of lecture notes.
 Gilles Castel maintains a page of lecture notes .
 Evan Chen maintains a page of lecture notes, along with The Infinite Napkin.
 Anton Geraschenko has page of lecture notes.
 Chris SchommerPries has some lecture notes.
 Dexter Chua has lecture notes from Cambridge courses.
 Dongryul Kim has uploaded a large collection of livetex’d notes from Harvard courses.
 Zoë Farmer has some notes from various undergraduate courses
 Akhil Matthew has some notes from graduate courses
LiveTexing
Forthcoming section: I will post some technical details about my own livetexing setup here in the future for those who are interested.
Some useful resources:

The Gummi program has an excellent sidebyside view of tex and the PDF output which regularly updates after you’ve typed. I think it is also compatible with SyncTex, so may support keeping the scroll positions synced as well.

Gilles Castel has a blog post describing livetexing with vim, along with another post about integrating Inkscape figures
 Yichuan Chen has an excellent online GUI for generating TikzCD code.

https://www.mathcha.io supports handdrawing pictures with a stylus and exporting as Tikz code.
 Chris SchommerPries has written a post on the Secret Blogging Seminar which includes some useful tips and tricks.
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