Cyclic orbifolds of lattice vertex operator algebras
After giving a brief introduction to vertex operator algebras (VOA), I will 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.