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This is what I got from wiki:

1. Basic mathematics

2. Advanced mathematics

2.1 Pure mathematics

2.1.1 Algebra

2.1.2 Calculus and analysis

2.1.3 Geometry and topology

2.1.4 Combinatorics

2.1.5 Logic

2.1.6 Number theory

2.2 Applied mathematics

2.2.1 Dynamical systems and differential equations

2.2.2 Mathematical physics

2.2.3 Computing

2.2.4 Information theory and signal processing

2.2.5 Probability and statistics

2.2.6 Game theory

2.2.7 Operations research

Let me know if any are missing