Tags: #nograph #MOC

• Learning Resources: Algebraic Geometry
• Learning Resources Symplectic Topology
• Learning Resources Number Theory
• Learning Resources Algebraic Topology
• Oxford course codes

General and Broad Topics

• Qual syllabus: algebraic topology, Riemannian geometry, complex analysis #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

Lie Theory

• Problem sets

Categorical Rep Theory

• MSRI Summer school on Soergel Bimodules #resources/videos #resources/workshops
• CMSA conference on relations to algebraic geometry and mathematical physics #resources/videos
• Categorification Master Class Note: tons more videos available on page. #resources/videos

Representation Stability

• MSRI Summer School on Representation Stability #resources/videos
  • See Automorphic Forms and Langlands Kevin Buzzard Notes

Geometric Langlands

• Kiran Kedlaya’s course: https://kskedlaya.org/math206a-spr21/ #resources/videos
• Seminar on crystalline and prismatic cohomology
• Seminar on p-adic modular forms
• Seminar on p-adic Hodge theory
• Noncommutative Hodge-to-de Rham degeneration
• 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 #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

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