**Resources for various mathematical subjects**

Measure and probability theory

Functional analysis, PDEs and operator theory

Differential geometry and topology

Symplectic and Poisson geometry and topology

Fiber bundles, principal bundles, connections and characteristic classes

Lie groups, Lie algebras and their representations

Actions of Lie groups on manifolds

Riemannian and semi-riemannian geometry

Spin geometry and index theorems

Noncommutative geometry a la Connes