Analysis and Geometry
Analysis is the study of limiting processes as applied to sets and functions; geometry is the study of the properties of Space, and includes fractals, hyperbolic geometry and topology. The analysts and geometers are particularly active in complex analysis, complex iteration theory, continued fraction theory, dynamical systems, geometric measure theory and toric topology.
Combinatorics is the mathematics of discrete (usually finite) combinations and arrangements. The combinatorialists have particular interests in graph theory, permutation patterns, combinatorial designs and the theory of symmetric maps on surfaces.