Links to math notes

Representation theory

• On crystal bases by Masaki Kashiwara.
• Representation theory resources and references on Mikhail Khovanov's webpage.
• Notes for summer school on geometric representation theory and extended affine Lie algebras
• Webcasts for lectures from an instructional workshop on algebraic Lie theory
• An introduction to perverse sheaves by Konstanze Rietsch
• Dragan Milicic's homepage -- notes for Lie groups, derived categories, D-modules.
• Geometric representation theory notes by Dennis Gaitsgory.
• William Crawley-Boevey's homepage -- notes for quivers, representation theory, etc.

Algebraic geometry

• Lectures on the geometry of flag varieties by Michel Brion
• Lecture notes on toric varieties -- by Mircea Mustata, update to William Fulton's book Introduction to Toric Varieties.

Combinatorics

• Geometric combinatorics notes -- notes from the 2004 PCMI program on geometric combinatorics.

Topology / Category theory

• Allen Hatcher's homepage -- some books on algebraic topology.
• J. Peter May's miscellaneous notes -- miscellaneous notes on topology and algebra.
• Pierre Schapira's course notes -- notes on category theory, homological algebra, and topology.

Other

• Anton Geraschenko's notes -- notes on various graduate courses (stacks, symplectic geometry, homological algebra, etc.) at Berkeley (and more).