Dr. Manuel Karl-Heinz Müller
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ContactEmail: math[at]mkhmueller.de |
Interests- Automorphic forms and automorphic representations |
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, CV and information on the teaching that I have done. |
Publications
M. K.-H. Müller, Linear independence of theta series of positive-definite, unimodular even lattices, Manuscripta Math. 177 (2026), no. 5, 69. article, arXiv
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, accepted
for publication in J. Reine Angew. Math. (Crelle's Journal) 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)
AI Statement
The recent revolution in the capabilities and usage of AI tools in mathematics is currently having profound effects on our field. However, it is at the present moment unpredictable what the future of mathematics will look like. First, because any statement concerning AI risks becoming quickly outdated, given the speed at which these systems are developing, and second, because there is a vast range of opinions in the mathematical community on what the role of AI in research should be. It is my believe that the human understanding of mathematical concepts should always take precedent over the sheer production of results. My goal was and still is to create beautiful mathematics and to write papers which are made for humans to read, understand and find enjoyment in them. So far I have been using AI tools only for literature research and writing up well-known results and theory. I do not know if that will change in the future, but whatever role AI will play in my research, it will be in the service of the goals I have described.