جست‌وجوی استاد و پژوهشگر

Manuel Karl-Heinz Müllerمشاهده پروفایل

پژوهشگر

• Number Theory
• Automorphic Forms
• Vector-Valued Modular Forms
• +۴ مورد دیگر

Manuel Karl-Heinz Müller is a researcher at the Department of Mathematics, Technical University of Darmstadt. He currently holds a postdoctoral position under Prof. Dr. Nils Scheithauer, focusing on algebraic and number-theoretic research. His research interests include number theory , automorphic forms , vector-valued modular forms , theta series , theta lifts , integral lattices , and the Weil representation . His work often bridges modular forms and algebraic structures. Publications highlight advanced topics like basis problems for modular forms, invariants of the Weil representation, and moduli spaces of polarized K3 surfaces. Collaborations include projects with researchers like C. Huang and Nils Scheithauer. Teaching includes roles as a teaching assistant in courses such as Algebra, Introduction to Algebra, and Linear Algebra for Physicists. He has also contributed to Mathematics courses for Computer Science and Civil Engineering students. He completed his PhD in 2024 at TU Darmstadt with a thesis on generating systems for modular forms and Hecke operators.

Nils Scheithauerمشاهده پروفایل

استاد

• Automorphic forms
• Conformal field theory
• Infinite-dimensional Lie algebras
• +۳ مورد دیگر

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.