Stats: 1933 pages since August 2019
Fall 2019: 312 pages.
- Algebra: 104p
- Real Analysis 116p
- Lie Algebras: 92p
Spring 2020: 510 pages
- Morse Theory: 72p
- Commutative Algebra: 76p
- Complex Analysis: 79p
- Category $\OO$: 96p
- Elliptic Curves: 74p
- Moduli Spaces: 113p
Summer 2020: 39 pages.
- Categorification: 39p
Fall 2020: 524 pages
- Étale cohomology: 96p
- Algebraic Geometry: 129p
- Algebraic Curves: 127p
- Algebraic Groups: 172p
Spring 2021: 548 pages.
- Number Theory: 97 p
- Floer Homology: 161p
- Homological Algebra: 152p
- 4-Manifolds: 138p
Notes
Lectures and Courses
Arithmetic Geometry and Number Theory
Algebraic Number Theory
Algebraic Curves
Étale Cohomology
Rational Points
Algebraic Geometry
Algebraic Geometry
Moduli Spaces
4-Manifolds and Algebraic Surfaces
Stacks and Moduli
Representation Theory
Algebraic Groups
Flag Varieties, Equivariant Cohomology, and K Theory
Topology
Floer Homology
Characteristic Classes
Algebra
Homological Algebra
Analysis
Undergrad
Talks / Seminars / Mini Courses
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IAS/PCMI Graduate Summer School: Motivic Homotopy
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Combined Notes
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Danny Krashen, “Field arithmetic and the complexity of algebraic objects”
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Philippe Gille, “G-torsors over affine curves”
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Frédéric Déglise, “Motivic categories”
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Kirsten Wickelgren, “An introduction to $\AA^1$ homotopy theory using enumerative examples”
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Matthew Morrow, “Aspects of motivic cohomology”
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- Reading Seminar: Salamon-McDuff, “J-Holomorphic Curves and Symplectic Topology”
- Gromov-Witten invariants and regularity theorems: Typeset Notes , Slides and Handwritten Notes
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Arizona Winter School, 2019
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Kirsten Wickelgren: A1 Enumerative Geometry
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Matthew Morrow: Topological Hochschild Homology in Arithmetic Geometry
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Expository
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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
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Some notes on the Math GRE:
Misc
- My PDF annotations for math textbooks.
- My grad school math journal.
- My math-related Twitter threads on Thread Reader.
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!
- 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.
- Dexter Chua has lecture notes from Cambridge courses.
- Aleksander Shmakov has some notes posted on his website.
- Anton Geraschenko has page of lecture notes.
- Chris Schommer-Pries has some lecture notes.
- 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
Resources / Remarks on Live-Texing
Some tools I use:
- I take notes using the neovim editor, manage them with the ranger file manager, and convert them to PDF/HTML with pandoc.
- My vim configuration is here.
- My entire notes respository is stored here.
- I keep a collection of [pandoc templates and custom filters here])(https://github.com/dzackgarza/dotfiles/tree/master/.pandoc).
- For diagrams:
- Inkscape for capturing freehand stylus drawings while live-texing.
- q.uiver for commutative diagrams in TikzCD.
- https://www.mathcha.io for converting hand-drawn stylus figures to Tikz code.
- QTikz/KTikz for plain Tikz or hand-edited TikzCD.
- For macros:
- I have several (very unorganized) files for Latex macros: a, b, c, d.
- I use a forked version of quicktex to automatically expand 2-3 letter shortcuts into full commands. My library of shortcuts is here.
- I use coc.nvim and coc-snippets to inline more complicated commands
- I use the iabbrev feature in neovim to automatically correct typos.
Some useful resources:
- I use the mathpix snipping tool to convert clips of images to tex, and their snip notes feature to convert entire PDFs or book pages.
- I keep loose research notes in Obsidian.
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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.
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Gilles Castel has a blog post describing live-texing with vim, along with another post about integrating Inkscape figures
- Chris Schommer-Pries has written a post on the Secret Blogging Seminar which includes some useful tips and tricks.
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