Nils Scheithauer

Prof. Dr. Nils Scheithauer is a Professor at the Department of Mathematics, Technische Universität Darmstadt. His research focuses on automorphic forms, conformal field theory, and infinite-dimensional Lie algebras. He has contributed significantly to the study of vertex operator algebras, generalized Kac-Moody algebras, and their connections to moonshine phenomena and modular forms.

His work often intersects number theory, algebraic geometry, and theoretical physics. Notable areas of exploration include the classification of holomorphic vertex operator algebras, reflective modular varieties, and applications of the Weil representation. Scheithauer’s research frequently utilizes advanced algebraic structures like Borcherds products and explores their implications in both pure mathematics and mathematical physics.

Publications highlight his expertise in dimensions formulae for VOAs, deep holes in Leech lattice constructions, and harmonic theta series. He has also investigated connections between Lie algebras and automorphic forms, particularly involving the Conway group and other sporadic groups.