Cyclic orbifolds of lattice vertex operator algebras
I will give a brief introduction to vertex operator algebras(VOA) and how they can be used to describe conformal field theories in two dimensions. I will then discuss known examples and the status of the classification of holomorphic VOAs. I will discuss VOAs coming from lattices and the orbifold construction. I will present new examples of VOAs with central charge 48 and 72. If time permits I will also touch on moonshine. This is based on work with my student Thomas Gemuenden.