Last Updated: January 5th, 2020.

Mathematics Notes

Lectures and Courses

Étale Cohomology

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Categorification

Arik Wilbert, Summer 2020

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Elliptic Curves

Pete Clark, Spring 2020

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Commutative Algebra

Pete Clark, Spring 2020

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Category $\OO$

Brian Boe, Spring 2020

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Lie Algebras

Chun-Ju Lai, Fall 2019

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Algebraic Geometry

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Morse Theory

Akram Alishahi, Spring 2020

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Algebraic Topology

Justin Roberts, Fall 2017 and Spring 2018

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Complex Analysis

Jingzhi Tie, Spring 2020

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Real Analysis

Neil Lyall, Fall 2019

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Abstract Algebra

Dan Nakano, Fall 2019

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General Notes

Undergraduate Compendium

A giant study guide of undergraduate topics I wrote while studying for the Mathematics Subject GRE.

(Self study, Spring 2017)

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Combinatorics

A study guide for undergraduate Combinatorics.

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Smooth Manifolds

Notes on smooth manifolds.

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  • Notes on tilings and translation surface: PDF, HTML

Transcriptions / Notes on Talks

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

    PDF (Old version)

    PDF, HTML

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

    PDF, HTML

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!

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:

Annotations

Math textbook PDF annotations

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