Lukas Mauth
I am a Ph.D. student 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
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
On pointwise convergence of the non-linear Fourier transform arxiv.org/abs/2210.12286 (2022)
Teaching
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)
