Manuel Müller

My name is Manuel Müller, I am a postdoc at Technical University of Darmstadt with Prof. Dr. Nils Scheithauer. On this website you will find my contact info, research interests, publications and information on the teaching that I have done.

• Number theory
• Automorphic forms
• Vector-valued modular forms
• Theta series
• Theta lifts
• Integral lattices
• The Weil representation

M. K.-H. Müller, Generating systems for modular forms for the Weil representation and Hecke operators for orthogonal modular forms, PhD thesis, TU Darmstadt, 2024. PDF

C. Huang, Z. Li, M. K.-H. Müller, Z. Ye, The Picard group of the Baily-Borel compactification of the moduli space of polarized K3 surfaces, preprint, submitted. arXiv

M. K.-H. Müller, The basis problem for modular forms for the Weil representation, preprint, submitted. arXiv

M. K.-H. Müller, N. R. Scheithauer, The invariants of the Weil representation of SL₂(Z), To appear in: Commun. Contemp. Math. article, arXiv

M. K.-H. Müller, Modular forms for the Weil representation induced from isotropic subgroups, J. Number Theory 263 (2024), 206-233. article, arXiv

Teaching assistant for the following courses:

• Algebra (Winter 24/25)
• Introduction to Algebra (Summer 24)
• Geometry for Teachers (Winter 23/24)
• Mathematics II (Computer Science) (Summer 23)
• Linear Algebra II for Physicists and Teachers (Summer 23)
• Linear Algebra I for Physicists and Teachers (Winter 22/23)
• Mathematics II (Civil Engineering) (Summer 22)