Lukas Mauth
Lukas Mauth
Embedded Files
I am a Ph.D. in Mathematics at the University of Cologne under supervision of Kathrin Bringmann. My research interests are in number theory, especially in partitions, modular forms and other automorphic and combinatorial objects.
Email: lmauth@uni-koeln.de
Research
Quasimodular forms that detect primes are Eisenstein arxiv.org/abs/2507.20432 (2025) - joint work with Jan-Willem van Ittersum, Ken Ono, and Ajit Singh
On the asymptotics of certain colored partitions arxiv.org/abs/2412.11622 (2024)
On the parity of coefficients of eta powers arxiv.org/abs/2411.17638 (2024) - joint work with Steven Charlton and Anna Medvedovsky
Exact formula for 1-lower run overpartitions arxiv.org/abs/2307.10441 (2023)
Log-concavity for partitions without sequences arxiv.org/abs/2306.07459 (2023)
Exact Formula for cubic partitions - Ramanujan Journal (2024) https://doi.org/10.1007/s11139-024-00871-0
A correction to this article has been published - Ramanujan Journal (2025): https://doi.org/10.1007/s11139-025-01060-3
Teaching
Introduction to Algebraic Number Theory, University of Cologne, Summer 2025 (Exercise Group)
Seminar on L-Functions, University of Cologne, Summer 2025 (Assistant)
Modular forms II, University of Cologne, Fall 2024/2025 (Exercise Group)
Mathematics for prospective teaching students II, University of Cologne, Summer 2024 (Lecture Assistant)
Mathematics for prospective teaching students I, University of Cologne, Fall 2023/2024 (Lecture Assistant)
Introduction to analytic number theory, University of Bonn, Fall 2022/2023 (Exercise Group)
Analysis 2, University of Bonn, Summer 2022 (Exercise Group)
Introduction to Algebra, University of Bonn, Fall 2021/2022 (Exercise Group)
Complex Analysis, University of Bonn, Summer 2021 (Exercise Group)
Analysis 3, University of Bonn, Fall 2020/2021 (Exercise Group)
Analysis 2, University of Bonn, Summer 2020 (Exercise Group)
Page updated
Google Sites
Report abuse