Generally speaking,

Elementary mathematics (elementary algebra, elementary geometry)

Advanced mathematics (analysis (mathematical analysis (calculus), complex variable function, ordinary differential equation and partial differential equation), algebra (linear algebra), geometry (analytic geometry), probability (probability theory and statistical theory), number theory (elementary number theory), set theory (set theory) and topology (point set topology))

Advanced mathematics (analysis (real analysis, functional analysis, function theory), algebra (matrix theory, modern algebra, group theory and equations), geometry (differential geometry), number theory (analytic number theory, transcendental number theory, algebraic independence theory), topology (geometric topology, algebraic topology) equations (equation dynamic system, algebraic equation, algebraic topology).

There is basically no way to classify mathematics in the future, and it is all intertwined.

In addition, after advanced mathematics, probability statistics no longer belongs to mathematics. They are a new discipline, called statistics and probability theory, which are two independent disciplines different from mathematics.