Alibaba Mathematics Competition mainly tests knowledge in five aspects: algebra and number theory, geometry and topology, analysis and equations, combinatorics and probability, and applied and computational mathematics.

The following are the specific contents of each aspect:

- Algebra and number theory: abstract algebra, algebraic number theory, commutative algebra, groups and representation theory.

- Geometry and topology: algebraic topology, differential topology, manifolds and Lie groups, Riemannian geometry.

- Analysis and equations: harmonic analysis, elliptic equations, complex analysis, real analysis.

- Combinatorics and probability: extreme value/probability/algebraic combinatorics, graph theory, discrete geometry, probability theory and stochastic processes, operations research and combinatorial optimization, and mathematical theory of computer science.

- Applied and computational mathematics: ordinary differential equations, partial differential equations, optimization methods, numerical linear algebra, numerical analysis, and machine learning.

The preliminary round is an open-book exam. You are allowed to consult online/offline materials and use programming software to answer questions, but you are prohibited from discussing with others, passing on questions, and any other forms of cheating. The final round is a closed-book exam. You are not allowed to refer to any materials or use scientific computing software.