Last Updated: Monday, November 20th 2020.

Mathematics Notes

Lectures and Courses

Étale Cohomology

Étale Cohomology.

(Daniel Litt, Fall 2020)

PDF, HTML

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Moduli Spaces

Moduli Spaces.

(Ben Bakker, Spring 2020)

PDF

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Categorification

Categorification.

(Arik Wilbert, Summer 2020)

PDF HTML

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Algebraic Curves

Algebraic Curves.

(Pete Clark, Fall 2020)

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Elliptic Curves

Elliptic Curves.

(Pete Clark, Spring 2020)

PDF

PDF V2, HTML V2

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Commutative Algebra

Commutative Algebra.

(Pete Clark, Spring 2020)

PDF

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Algebraic Groups

Algebraic Groups.

(Dan Nakano, Fall 2020)

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Category $\OO$

Category $\OO$.

(Brian Boe, Spring 2020)

PDF V2, HTML V2

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Lie Algebras

Lie Algebras.

(Chun-Ju Lai, Fall 2019)

PDF

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Algebraic Geometry

Algebraic Geometry.

(Philip Engel, Fall 2020)

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Morse Theory

Morse Theory.

(Akram Alishahi, Spring 2020)

PDF

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Algebraic Topology

Algebraic Topology.

(Justin Roberts, Fall 2017 and Spring 2018)

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Complex Analysis

Complex Analysis.

(Jingzhi Tie, Spring 2020)

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Real Analysis

Real Analysis.

(Neil Lyall, Fall 2019)

PDF

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Abstract Algebra

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 Combinatorics.

(Self study, Fall 2018)

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Smooth Manifolds

Notes on smooth manifolds.

(Self study, Fall 2020)

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  • Notes on tilings and translation surface: PDF, HTML

Transcriptions

Expository Writing

  • 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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