Geometric Group Theory
 [Aut] Automorphism Groups:
(outer) automorphisms of graphs, surfaces and ntori
 [Cox] Coxeter Groups:
Coxeter and Artin groups, buildings, Garside structures, etc.
Other Areas of Interest
 [EC] Enumerative Combinatorics:
trees, permutations, generating functions, tableaux
 [Ex] Exceptional Mathematics:
octonions, Cayley plane, Moufang loops, etc.
 [FSG] Finite Simple Groups:
finite groups of Lie type, the sporadics, their finite geometries
 [GA] Generalized Associahedra:
noncrossing and nonnesting partitions, quivers, cluster algebras
 [GC] Geometric Combinatorics:
polytopes, posets, hyperplane arrangments, oriented matroids
 [GL] Geometric Langlands Program:
class field theory, Hecke stuff, eigensheaves
 [LG] Lie Groups:
Lie groups and (non) compact symmetric spaces
 [NCG] Noncommutative Geometry:
Alain Connes type stuff, C*algebras, etc.
 [NT] Number Theory:
automorphic and modular forms, Ramanujan, Lseries
 [RM] Random Matrix Models:
random matrix models, SLE curves

(Image from Wikipedia)
