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created: 2023-03-26T11:58
updated: 2024-04-15T12:41
aliases: 
links: 
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# 2024 Study

# Very high priority, needed for talks

- [Notes on divisors](https://www.math.ksu.edu/~ranno/math816/divisors.pdf#page=4&zoom=160,-136,793)

## High priority, directly relevant to research or diss

- MSRI workshops on birational geometry and moduli spaces
	- <https://www.slmath.org/programs/311#programmatic_workshops_programs>

## Medium-High priority, basics for research

- [x] Properly learn [algebraic curves](algebraic%20curve.md) ✅ 2024-01-31
	- [ ] [Kirwan's book](Frances%20Kirwan%20-%20Complex%20Algebraic%20Curves.pdf)
	- [ ] Lecture notes: [B3.3 Lecture Notes](B3.3%20Lecture%20Notes.pdf)
	- [ ] Joyce's course: <https://courses.maths.ox.ac.uk/course/view.php?id=5010>
	- [ ] Kirwan's course: <https://courses.maths.ox.ac.uk/course/view.php?id=119>
- [ ] Review basic algebraic geometry
	- [ ] [Oxford notes](CAGnotes.pdf) <https://courses.maths.ox.ac.uk/course/view.php?id=714>
- [ ] Review schemes
	- [ ] [Oxford notes](Ritter-Schemes-58.pdf) <https://courses.maths.ox.ac.uk/course/view.php?id=748>
- [ ] Review stacks
	- [ ] Jarod Alpers: <https://sites.math.washington.edu/~jarod/moduli.pdf>
	- [ ] DZB's course: https://www.math.emory.edu/~dzb/teaching/788Fall2022/videos/
- [ ] Review moduli spaces
	- [ ] [Course notes](attachments/Moduli%20spaces%20in%20algebraic%20geometry.pdf) #resources/course-notes 
- [ ] [Dualities and Representations of Lie Superalgebras](Dualities%20and%20Representations%20of%20Lie%20Superalgebras-American%20Mathematical%20Society%20(2012).pdf)
- [ ] [Kac's paper on Lie superalgebras](Lie%20Superalgebras%20Kac.pdf)
- [ ] [Humphreys reflection groups](James%20E.%20Humphreys%20-%20Reflection%20groups%20and%20Coxeter%20groups-Cambridge%20University%20Press%20(1997).pdf)
- [ ] [Modular curves](modularCurves2015%201.pdf)
- [ ] [Spherical varieties intro](Intorduction%20to%20Actions%20of%20Algebraic%20Groups,%20Michel%20Brion.pdf)

## Medium priority, loosely relevant to research

- Review basic Lie algebras
	- [Oxford notes](Notes%20MT22%20Lie%20Algebras.pdf)
- Review basic differential geometry
	- [Hitchin notes](Manifold_notes.pdf)
- Review basic modular forms
	- [Oxford notes](MF_2018_Lectures_121022.pdf) <https://courses.maths.ox.ac.uk/course/view.php?id=1001>
- Learn general relativity for real
	- [Oxford notes](GR3.pdf)

## Low priority, just for fun and convo

- Learn some additive combinatorics
	- [Oxford notes](C3.10-notes.pdf)
- Review basic functional analysis
	- [Oxford notes](Notes%202022.pdf)
- do Carmo