We will discuss the various algebraic structures that appear when studying supersymmetric operators in SCFTs in various dimensions and the connections between them. For example, topics may include relatively standard constructions such as chiral rings, more recent constructions involving non-commutative associative algebras and chiral algebras, and structures that appear in the context of omega-deformed theories. Possible references: Chiral rings and related objects http://arxiv.org/pdf/hep-th/0211170v2.pdf http://arxiv.org/pdf/hep-th/0612119.pdf Chiral algebras http://arxiv.org/abs/1312.5344 http://arxiv.org/abs/1404.1079 Non-commutative associative algebras http://arxiv.org/abs/1412.0334 Omega backgrounds http://arxiv.org/abs/1503.04817