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
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Kirsten Wickelgren: A1 Enumerative Geometry (Arizona Winter School, 2019)
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Matthew Morrow: Topological Hochschild Homology in Arithmetic Geometry (Arizona Winter School, 2019)
Expository Writing
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A note on motivating and using semidirect products to classifying finite groups: PDF
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Classifying groups of order $pq$ using semidirect products: PDF
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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 Schommer-Pries has some lecture notes.
- Dexter Chua has lecture notes from Cambridge courses.
- Dongryul Kim has uploaded a large collection of live-tex’d notes from Harvard courses.
- Zoë Farmer has some notes from various undergraduate courses
- Akhil Matthew has some notes from graduate courses
Live-Texing
Forthcoming section: I will post some technical details about my own live-texing setup here in the future for those who are interested.
Some useful resources:
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The Gummi program has an excellent side-by-side 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.
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Gilles Castel has a blog post describing live-texing with vim, along with another post about integrating Inkscape figures
- Yichuan Chen has an excellent online GUI for generating TikzCD code.
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https://www.mathcha.io supports hand-drawing pictures with a stylus and exporting as Tikz code.
- Chris Schommer-Pries has written a post on the Secret Blogging Seminar which includes some useful tips and tricks.
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