Conferences, Workshops, and Summer Schools
| Event | Dates | |
|---|---|---|
| Young Topologists Meeting | 3-7 July 2017 | Notes |
| Chromatic Homotpy Theory: Journey to the Frontier | 16-20 May 2018 | Notes |
| Homotopy Theory Summer Berlin | 18-22 June 2018 | Notes |
Cornell
These notes are here mainly for the benefit of my classmates, but feel free to use them as you see fit.
| Item | Class | Semester | |
|---|---|---|---|
| Notes on the Cotangent Complex | Summer 2019 | ||
| Simplicial Methods in Algebra and Geometry | 7350 | Fall 2018 | |
| Homotopy Theory Reading Group | Fall 2018 | ||
| Algebraic Number Theory | 6370 | Spring 2018 | |
| Homotopy Theory Reading Group | Spring 2018 | ||
| K-Theory | 6530 | Fall 2017 | Inna's Notes |
| Algebraic Geometry | 6670 | Fall 2017 | |
| DG Algebras and DG Categories | 7350 | Spring 2017 | |
| Symplectic Geometry Reading Group | Fall 2016 | ||
| Sheaves on Manifolds | 7510 | Fall 2016 | |
| Lie Combinatorics and Hyperplane Arrangements | 7410 | Fall 2016 | |
| Differentiable Manifolds I | 6520 | Fall 2016 |
SPUR 2019
Some notes from a short crash course for the 2019 Cornell Summer Program for Undergraduate Research.
Cambridge Part III
These notes are far from error-free. Please let me know if you spot any errors or typos!
| Class | Term | |
|---|---|---|
| Part III Essay | Lent 2015 | |
| Hopf Algebras | Lent 2016 | |
| Representation Theory | Lent 2016 | |
| Complex Manifolds | Lent 2016 | Only the first half of the course. |
| Commutative Algebra | Michaelmas 2015 | |
| Category Theory | Michaelmas 2015 | |
| Differential Geometry | Michaelmas 2015 | |
| Lie Algebras | Michaelmas 2015 |
Bökstedt Preprints
These three important preprints of Marcel Bökstedt were very hard to find, so I have posted them here for ease of reference.
- Bökstedt - Topological Hochschild homology
- Bökstedt - The topological Hochschild homology of \(\mathbb Z\) and \(\mathbb Z/p\)
- Bökstedt - The natural transformation from \(K(\mathbb Z)\) to \(THH(\mathbb Z)\)
Miscellaneous LaTeX
| Item | Description |
|---|---|
| handout.zip | Document class and template for making class handouts. |
| notes.zip | Document class and template for live-TeX-ing class notes. |
| curve.png | Image file for beamer template. |
| mehrle-beamertemplate.tex | A pretty beamer template. |
| mehrle-beamertemplate.pdf | A pretty beamer template. |
| mehrle-howtolatex.pdf | An introduction to LaTeX written for PROMYS 2014 students. |
PCMI 2015
Notes from the Park City Math Institute 2015.
| Item | Description |
|---|---|
| groupobjectsetude.pdf | A worksheet on group objects created for the undergrad summer school. |
| flagvarieties.pdf | PCMI 2015 Lectures on Flag Varieties by Aaron Bertram. |
| modulispaces.pdf | PCMI 2015 Lectures on Moduli Spaces by Tom Garrity. |
PROMYS 2014
Notes from counselor seminars at PROMYS 2015.
| Item | Description |
|---|---|
| graphcoloring.pdf | Notes for a lecture on graph coloring using algebraic geometry. |
| liealgebras.pdf | Notes for an intro to Lie algebras. |
| rootsystems.pdf | Notes for an intro to root systems. |
Carnegie Mellon
These scans are from a dark time when I used to take notes by hand. I can guarantee neither the correctness nor the legibility of these notes, and should not be held responsible for either.
| Course | Semester | |
|---|---|---|
| Algebraic Geometry | Spring 2013 | Class handouts by Judy Holdener. |
| Commutative Algebra | Fall 2013 | |
| Complex Analysis | Spring 2014 | Part 1 and Part 2 |
| Extremal Combinatorics | Spring 2014 | |
| Galois Theory | Spring 2014 | |
| Group Theory with Physics Applications | Spring 2014 | |
| Representation Theory | Fall 2014 | Taken at the University of Pittsburgh |
| Differential Geometry (Physics) | Fall 2014 | |
| Category Theory | Spring 2015 |