Includes bibliographical references.

Invariants for finite dimensional groups in vertex operator algebras associated to basic representations of affine algebras ; Transformation laws for theta functions ; Algebro-geometric isomonodromic deformations linking Hauptmoduls: Variation of the mirror map ; On McKay's connection between the affine _8 diagram and the monster ; Sylow 2-subgroups of simple groups ; Yoshida surfaces with Picard number rho \geq 17 ; Hypergeometric modular forms and supersingular elliptic curves ; Fusion rules for ternary and mathbb Z_2 \times \mathbb Z_2 code vertex operator algebras ; The regular representations and the _n(V) algebras ; Linear dependencies among completely replicable functions ; Arithmetic semistable elliptic surfaces ; Modular invariance of trace functions on VOAs in many variables ; The mirror map for a family of surfaces induced from the simplest 3-dimensional reflexive polytope ; From moonshine to the monster ; Hypergeometric functions and non-associative algebras ; Extended affine root systems. V. Elliptic eta-products and their Dirichlet series ; Deflating infinite Coxeter groups to finite groups ; Genus two meromorphic conformal field theory ; Picard-Fuchs equations of some families of elliptic curves