Includes bibliographical references.

The beginnings of category theory in Australia ; Higher gauge theory ; Resolution of coloured operads and rectification of homotopy algebras ; Simplicial monoids and Segal categories ; Split extension classifier and centrality ; Moore normalization and DoldKan theorem for semiabelian categories ; An intrinsic characterization of branched coverings ; The periodic table of ategories for low dimensions. I. Degenerate categories and degenerate bicategories ; Abstract cellularization as a cellularization with respect to a set of objects ; Batanin higher groupoids and homotopy types ; Centres of monoidal categories of functors ; Ribbon categories and (unoriented) CFT: Frobenius algebras, automorphisms, reversions ; Topological and conformal field theory as Frobenius algebras ; Characterization of torsion theories in general categories ; Weak units and homotopy 3types ; Quasicategories vs Segal spaces ; Parking functions and triangulation of the associahedron ; La heorie d'un derivateur triangule ; Appendice: Le derivateur triangule associe a une categorie exacte ; Formal homotopy quantum field theories. II. Simplicial formal maps ; Three dimensional monad theory ; Orientals ; Weak complicial sets. II. Nerves of complicial Graycategories G Maxwell Kelly ; John C Baez and Urs Schreiber ; Clemens Berger and Ieke Moerdijk ; Julia E Bergner ; Francis Borceux and Dominique Bourn ; Dominique Bourn ; Marta Bunge and Jonathon Funk ; Eugenia Cheng and Nick Gurski ; Boris Chorny ; DenisCharles Cisinski ; Brian Day and Ross Street ; Jurgen Fuchs Ingo Runkel and Christoph Schweigert ; Ingo Runkel Jens Fjelstad Jurgen Fuchs and Christoph Schweigert ; George Janelidze and Walter Tholen ; Andre Joyal and Joachim Kock ; Andre Joyal and Myles Tierney ; JeanLouis Loday ; Georges Maltsiniotis ; Bernhard Keller ; Timothy Porter ; John Power ; Richard Steiner ; Dominic Verity