---
title: Learning Resources
---

Tags: #nograph #MOC 

- [Learning Resources: Algebraic Geometry](Projects/2022%20Algebraic%20Geometry%20Oral%20Exam/001%20Resources%20References%20(AG).md)
- [Learning Resources Symplectic Topology](Learning%20Resources%20Symplectic%20Topology.md)
- [Learning Resources Number Theory](Learning%20Resources%20Number%20Theory.md)
- [Learning Resources Algebraic Topology](Learning%20Resources%20Algebraic%20Topology.md)
- [[Oxford course codes]]

# General and Broad Topics

- [ ] [Qual syllabus: algebraic topology, Riemannian geometry, complex analysis](https://etale.site/qual-syllabus.pdf) #todo #todo/learning 
- [ ] A bunch of undergrad topics: <https://www.quantstart.com/articles/How-to-Learn-Advanced-Mathematics-Without-Heading-to-University-Part-3/>
- [ ] Tons of notes: <https://www.ams.org/open-math-notes>
- [ ] Oxford Notes: <https://courses-archive.maths.ox.ac.uk/overview/postgraduate>


## Categorification

See [categorification](Unsorted/categorification.md)

## Lie Theory

- [ ] [Problem sets](http://www.math.stonybrook.edu/~jstarr/M552s19/ps.html)

## Categorical Rep Theory

- [ ] [MSRI Summer school on Soergel Bimodules](https://www.msri.org/summer_schools/790) #resources/videos #resources/workshops 
- [ ] [CMSA conference on relations to algebraic geometry and mathematical physics](https://www.youtube.com/watch?v=kgu8L6paKNs&list=PL0NRmB0fnLJQiZyGUJyd35rj80k_EgUyt) #resources/videos 
- [ ] [Categorification Master Class](https://qgm.au.dk/video/mc/categorification/index.html)
      Note: *tons* more videos available on page. #resources/videos 

## Representation Stability

- [ ] [MSRI Summer School on Representation Stability](https://www.msri.org/summer_schools/850) #resources/videos 
	- [ ] See [Automorphic Forms and Langlands Kevin Buzzard Notes](Projects/2022%20AWS/Automorphic%20Forms%20and%20Langlands%20Kevin%20Buzzard%20Notes.md)


# Geometric Langlands
- [ ] Kiran Kedlaya's course: <https://kskedlaya.org/math206a-spr21/> #resources/videos 
- [ ] [Seminar on crystalline and prismatic cohomology](https://math.mit.edu/nt/index_stage)
- [ ] [Seminar on p-adic modular forms](https://math.mit.edu/nt/old/stage_s20.html)
- [ ] [Seminar on p-adic Hodge theory](https://math.mit.edu/nt/old/stage_f18.html)
- [ ] [Noncommutative Hodge-to-de Rham degeneration](https://warwick.ac.uk/fac/sci/maths/research/events/2020-2021/noncommutativehodge-to-derhamdegeneration/)
- [ ] <https://www.youtube.com/watch?v=euSBxp7qsA4&list=PLCe-H2N8-ny6d-EHaxrqy_RMwQ569C3Zx&index=4>

# Geometric Topology

- [ ] Legendrian contact homology: 
      <https://qgm.au.dk/video/mc/summer-school-1-5-august-2016/index.html>
- [ ] Kirby Calculus:
      [Kyle's lecture videos](https://uga.view.usg.edu/d2l/home/2063522) #resources/videos 
- [ ] Instanton moduli spaces 
      <https://qgm.au.dk/video/mc/riemannian-holonomy-groups-gauge-theory-and-instanton-moduli-spaces/index.html> #resources/videos 

# Functional Analysis 

- [ ] [http://www.math.chalmers.se/Math/Grundutb/CTH/tma401/0304/handinsolutions.pdf](http://www.math.chalmers.se/Math/Grundutb/CTH/tma401/0304/handinsolutions.pdf)

# Surfaces
- [ ] Riemann Surfaces: 
      <https://people.math.harvard.edu/~ctm/home/text/class/harvard/213b/14/html/home/course/course.pdf> #resources/course-notes
- [ ] Hyperbolic 3-manifolds: 
      <https://people.math.harvard.edu/~ctm/home/text/class/harvard/275/15/html/home/notes/3manifolds.pdf> #resources/course-notes
- [ ] Dynamics on moduli spaces: 
      <https://people.math.harvard.edu/~ctm/home/text/class/harvard/275/15/html/home/course/course.pdf> #resources/course-notes
- [ ] Teichmuller theory: 
      <https://people.math.harvard.edu/~ctm/home/text/class/harvard/275/17/html/base/rs/rs.pdf> #resources/course-notes
      
# Unsorted

- [ ]  Cohomology of arithmetic groups: 
      <https://www.birs.ca/events/2021/5-day-workshops/21w5011/videos> #resources/videos #resources/workshops 
- [ ]  DG Categories
      <https://cloud.math.univ-paris-diderot.fr/s/xfAbBe3trzX7ndp?path=%2FRecordings> #resources/videos 
- [ ]  Higgs bundles 
      <https://qgm.au.dk/video/mc/lecture-series-by-s-rayan-and-h-weiss-19-21-june-2017/index.html> #resources/videos 
- [ ] Brownian motion on Riemannian manifolds:  
      <https://people.math.harvard.edu/~ctm/math219/home/sources/hsu.pdf> #resources/notes 
- [ ]  Mathematical physics 
      <https://cahill.people.unm.edu/451-21/>
- [ ] Most topics in AG: <http://vbac.wikidot.com/past-seminars> #resources/talks 
- [ ] AG Seminar <http://magma.maths.usyd.edu.au/~kasprzyk/seminars/ag.html> #resources/talks