Geometric Group Theory
- [Aut] Automorphism Groups:
(outer) automorphisms of graphs, surfaces and n-tori
- [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, L-series
- [RM] Random Matrix Models:
random matrix models, SLE curves
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(Image from Wikipedia)
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