Analysis: including mathematical analysis, real variable function, functional analysis, complex analysis, harmonic analysis, Fourier analysis, ordinary differential equations, partial differential equations, etc.

2. Number theory: including elementary number theory, algebraic number theory, analytic number theory, number geometry, Diophantine approximation theory, module form, etc.

3. Algebra: elementary algebra, advanced algebra, modern (or abstract) algebra, commutative algebra, homology algebra, Lie algebra, etc.

4. Geometry: elementary geometry, advanced geometry, analytic geometry, differential geometry, Riemannian geometry, tensor analysis, topology, etc.

5. Applied mathematics: too many branches, probability statistics, numerical analysis, operational research, queuing theory and so on.

Mathematics is roughly divided into the following 26 disciplines:

History of mathematics, mathematical logic and mathematical foundation, number theory, algebra, algebraic geometry, geometry, topology, mathematical analysis, nonstandard analysis, function theory, ordinary differential equations, partial differential equations, dynamic systems, integral equations, functional analysis, computational mathematics, probability theory;

Mathematical statistics, applied statistical mathematics, operational research, combinatorial mathematics, fuzzy mathematics, quantum mathematics, applied mathematics (specifically applied to related disciplines), mathematics and other disciplines.