Group theory Group rings Associative algebras Combinatorial enumeration problems Rings (Algebra) Algebraic coding theory; cryptography Associative rings and algebras Asymptotic enumeration Braid groups; Artin groups Combinatorics Enumerative combinatorics Finite fields and commutative rings (number-theoretic aspects) Group theory and generalizations Hopf algebras and their applications Hopf algebras, quantum groups and related topics Lie algebras and Lie superalgebras Local rings and generalizations Module categories Modules, bimodules and ideals Nonassociative rings and algebras Number theory Ordinary representations and characters Quasi-Frobenius rings Representation theory of groups Representations of finite groups of Lie type Rings and algebras arising under various constructions Special aspects of infinite or finite groups Vertex operators; vertex operator algebras and related structures