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

My informal notes website

Lectures and Courses

Arithmetic Geometry and Number Theory

Algebraic Number Theory

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Galois Cohomology

Pete Clark, Spring 2021

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Algebraic Geometry

Algebraic Geometry

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4-Manifolds and Algebraic Surfaces

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Representation Theory

Lie Algebras

Chun-Ju Lai, Fall 2019

PDF

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Category $\OO$

Brian Boe, Spring 2020

PDF V2, HTML V2

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Categorification

Arik Wilbert, Summer 2020

PDF HTML

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Flag Varieties, Equivariant Cohomology, and K Theory

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Topology

Algebraic Topology

Justin Roberts, Fall 2017 and Spring 2018

PDF, HTML

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Morse Theory

Akram Alishahi, Spring 2020

PDF

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Floer Homology

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Characteristic Classes

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Riemannian Geometry

Joseph Hoisington, Spring 2021

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Symplectic Geometry

Ben Webster, Spring 2021

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Algebra

Abstract Algebra

Dan Nakano, Fall 2019

PDF, HTML

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Commutative Algebra

Pete Clark, Spring 2020

PDF

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Homological Algebra

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Analysis

Real Analysis

Neil Lyall, Fall 2019

PDF

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Complex Analysis

Jingzhi Tie, Spring 2020

PDF, HTML

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Undergrad

Undergraduate Compendium

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

(Self study, Spring 2017)

PDF, HTML

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Combinatorics

A study guide for undergraduate Combinatorics.

PDF, HTML

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Smooth Manifolds

Notes on smooth manifolds.

PDF, HTML

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Talks / Seminars / Mini Courses

  • IAS/PCMI Graduate Summer School: Motivic Homotopy

    • Combined Notes

      PDF, HTML

    • Danny Krashen, “Field arithmetic and the complexity of algebraic objects”

      PDF, HTML

    • Philippe Gille, “G-torsors over affine curves”

      PDF, HTML

    • Frédéric Déglise, “Motivic categories”

      PDF, HTML

    • Kirsten Wickelgren, “An introduction to $\AA^1$ homotopy theory using enumerative examples”

      PDF, HTML

    • Matthew Morrow, “Aspects of motivic cohomology”

      PDF, HTML

  • Reading Seminar: Salamon-McDuff, “J-Holomorphic Curves and Symplectic Topology”
  • VRG notes on tilings and translation surfaces: PDF, HTML

  • Arizona Winter School, 2019

Expository

  • 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

  • Some notes on the Math GRE:

    Notes, Slides (HTML), Slides (PDF).

Misc


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!

Resources / Remarks on Live-Texing

Some tools I use:

Some useful resources:

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