**Areas of mathematics**

Let us list here rooms which serve for discussions related to a specific area of mathematics.

 * [Basic Mathematics](https://chat.stackexchange.com/rooms/77161/basic-mathematics) is meant for all basic mathematical discussion, including basic logical reasoning, simple properties about natural/rational/real/complex numbers, induction/recursion, elementary combinatorics, synthetic geometry, ...

 * [Calculus and analysis](https://chat.stackexchange.com/rooms/info/14150/calculus-and-analysis) is a room which is intended for all areas which broadly fall under analysis (calculus, real analysis, functional analysis, complex analysis, ...). (Some of these areas had separate rooms in the past, but they did not generate enough interest.)
 * [Category theory](https://chat.stackexchange.com/rooms/info/68360)
 * [Differentiable Manifolds](https://chat.stackexchange.com/rooms/73238/differentiable-manifolds) - this room is intended for discussing anything related to Manifold theory, Differential geometry.
 * [Dynamical Systems and Chaos Theory](https://chat.stackexchange.com/rooms/55403/dynamical-systems-and-chaos-theory) - this room is intended to have discussion on Differential equations, Dynamical systems, Non Linear Dynamics, Chaotic systems, Chaos theory.
 * [General Topology](https://chat.stackexchange.com/rooms/info/15201/general-topology)
 * [Geometry & Topology](https://chat.stackexchange.com/rooms/info/20807/geometry-topology) is a room for discussions various areas related to geometry and topology (algebraic topology and differential topology, differential geometry, homological algebra, homotopy theory, ...) Originally some of these areas had separate rooms which were used only by a few users - you can find pointers to discussions about creating a single room [here](https://chat.stackexchange.com/rooms/20807/conversation/expanding-scope-of-the-room) and [here](https://chat.stackexchange.com/rooms/20807/conversation/expanding-scope-of-the-room-more-links).
 * [Group Theory](https://chat.stackexchange.com/rooms/80888/group-theory) - this room is intended for discussion of group theory.
 * [Linear & Abstract algebra](https://chat.stackexchange.com/rooms/info/13473/linear-abstract-algebra) - as the name of the room suggests, this is for discussion of topics from linear algebra and abstract algebra.
 * [Linear algebra](https://chat.stackexchange.com/rooms/info/75088/linear-algebra) - now also a separate room for linear algebra was created, so far it has not gained much attention.
 * [Logic](https://chat.stackexchange.com/rooms/44058/logic) is meant for any discussion about mathematical logic, including foundations (including philosophy/ontology of mathematics and type/set theories), deductive systems, proof theory, reverse mathematics, computability theory, model theory, ...
 * [Modern abstract analysis](https://chat.stackexchange.com/rooms/info/19167) (Originally started as functional analysis chatroom, later expanded to include topics from measure theory, harmonic analysis, more advanced topic from real analysis and other related areas.)
 * [Number Theory](https://chat.stackexchange.com/rooms/info/12070/number-theory)
 * [Probability and Statistics](https://chat.stackexchange.com/rooms/65689/probability-and-statistics)-is meant for any discussion on Probability theory and Statistics.
 * [Set Theory](https://chat.stackexchange.com/rooms/info/2318/set-theory) - this room is intended for anything related to set theory.