Resources for various mathematics subjects
Core mathematics
Measure and probability theory
PDEs and functional analysis
Functional analysis, PDEs and operator theory
Noncommutative geometry a la Connes
Complex analysis and complex geometry
Algebraic topology
Differential geometry
Differential geometry and topology
Fiber bundles, principal bundles, connections and characteristic classes
Symplectic and Poisson geometry and topology
Jet bundles, geometric PDEs and calculus of Variations
Actions of Lie groups on manifolds
Riemannian and semi-riemannian geometry
Spin geometry and index theorems
Representation theory
Lie groups, Lie algebras and their representations
Infinite-dimensional Lie (super)algebras and their representations
Associative algebras and their representations
Commutative algebra and algebraic geometry