activity
19982023
most citedConstruction and Classification of Holomorphic Vertex Operator Algebras

102 citations · 152 across the 14 of their papers we have counts for

collaborators

14 papers

math.NT2023

Reflective modular varieties and their cusps

Thomas Driscoll-Spittler, Nils R. Scheithauer, Janik Wilhelm

We classify reflective automorphic products of singular weight under certain regularity assumptions. Using obstruction theory we show that there are exactly 11 such functions. They…

math.NT2022★ 1 cited

The invariants of the Weil representation of

Manuel K. -H. Müller, Nils R. Scheithauer

The transformation behaviour of the vector valued theta function of a positive-definite even lattice under the metaplectic group is described by the Wei…

math.QA2021★ 2 cited

A Geometric Classification of the Holomorphic Vertex Operator Algebras of Central Charge 24

Sven Möller, Nils R. Scheithauer

We associate with a generalised deep hole of the Leech lattice vertex operator algebra a generalised hole diagram. We show that this Dynkin diagram determines the generalised deep…

math.QA2019★ 26 cited

Dimension Formulae and Generalised Deep Holes of the Leech Lattice Vertex Operator Algebra

Sven Möller, Nils R. Scheithauer

We prove a dimension formula for the weight-1 subspace of a vertex operator algebra obtained by orbifolding a strongly rational, holomorphic vertex oper…

math.AG2019★ 4 cited

Harmonic theta series and the Kodaira dimension of

Moritz Dittmann, Riccardo Salvati Manni, Nils R. Scheithauer

We construct a basis of the space of Siegel cusp forms of degree and weight consisting of harmonic theta series. One of the…

math.QA2017★ 12 cited

Dimension Formulae in Genus Zero and Uniqueness of Vertex Operator Algebras

Jethro van Ekeren, Sven Möller, Nils R. Scheithauer

We prove a dimension formula for orbifold vertex operator algebras of central charge 24 by automorphisms of order such that is a genus zero group. We then use this for…