Analysis/funtion theory: Real/complex; harmony; functional; measurement
Algebra: linear algebra; group/ring/field; Galois theory; representation theory
Geometry: point set topology; algebraic topology; classical differential geometry; differential manifold; ring and module; category theory; homological algebra; commutative algebra; algebraic geometry
Differential equation: ODE; dynamical system; PDE;
Number theory: elmentary; algebraic; analytic
HAHAHAHAHA, what I*ve done?

I am an ACMathoneri, too.