Subcategories:

Algebra
Analysis
Combinatorics, Graph Theory, and Game Theory
Geometry and Topology
Number Theory
Probability and Statistics
Other

础濒驳别产谤补听(础尝叠):聽The study of algebraic operations and/or relations and the structures which arise from them. An example is given by (systems of) equations which involve polynomial functions of one or more variables.

础苍补濒测蝉颈蝉听(础狈尝):听The study of infinitesimal processes in mathematics, typically involving the concept of a limit. This begins with differential and integral calculus, for functions of one or several variables, and includes differential equations.

Combinatorics, Graph Theory, and Game Theory聽(CGG):聽The study of combinatorial structures in mathematics, such as finite sets, graphs, and games, often with a view toward classification and/or enumeration.

Geometry and Topology聽(GEO):聽The study of the shape, size, and other properties of figures and spaces. Includes such subjects as Euclidean geometry, non-Euclidean geometries (spherical, hyperbolic, Riemannian, Lorentzian), and knot theory (classification of knots in 3-space).

Number Theory聽(NUM):聽The study of the arithmetic properties of integers and related topics such as cryptography.

Probability and Statistics聽(PRO):聽Mathematical study of random phenomena and the study of statistical tools used to analyze and interpret data.

翱迟丑别谤听(翱罢贬):听Studies that cannot be assigned to one of the above subcategories. If the project involves multiple subcategories, the principal subcategory should be chosen instead of Other.