**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**