Dr. Manuel Karl-Heinz Müller

Contact Email: math[at]mkhmueller.de Sapienza Università di Roma Department of Mathematics "Guido Castelnuovo" Piazzale Aldo Moro, 5, 00185 Roma Stanza-Assegnisti della Ex-Falegnameria, room no. 8

Interests - Automorphic forms - Theta series - Weil representation - Complex geometry

My name is Manuel Müller, I am currently a postdoc at the Sapienza Università di Roma with a Walter Benjamin Fellowship funded by the German Research Foundation (DFG). Previously, I did my PhD, followed by a one year postdoc, at the 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.

Publications

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 and generalizations, 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), Commun. Contemp. Math. 27 (2025), no. 9, Paper No. 2550013. 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

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)

Manuel Müller math, Mueller, mmueller, Modular forms, Weil representation, theta series, theta functions