Kilian Rausch
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I am a Ph.D. student in mathematics in the group of Professor Dr. Kathrin Bringmann at the University of Cologne. My research interest is in analytical number theory, especially in modular forms and partitions.
Email: krausch1(at)uni-koeln(dot)de
Research
Mock modular forms from the k-rank moments, Research in Number Theory (2025): https://doi.org/10.1007/s40993-026-00729-y
A Rademacher exact type formula for pod_2(n), arXiv:2604.18241 (2026)
The difference of the sums of odd and even parts of restricted partitions , arXiv:2606.16585 (2026), joint work with Johann Stumpenhusen
Teaching
Theses:
Co-supervisor of bachelor thesis, University of Cologne, currently
Co-supervisor of bachelor thesis, University of Cologne, Fall 2025/26
Seminars:
Seminar on mock theta functions, University of Cologne, Fall 2025/26
Exercise groups:
Linear algebra for computer science, RWTH Aachen University, Summer 2023 and 2024
Linear algebra, RWTH Aachen University, Fall 2023/24
Discrete mathematics, RWTH Aachen University, Fall 2022/23
Mathematical programming, RWTH Aachen University, Summer 2022, 2023 and 2024
C++, RWTH Aachen University, Fall 2022 and 2023
Smart study start mathematics, RWTH Aachen University, Fall 2021/22
Mathematics preparatory course, RWTH Aachen University, Fall 2020, 2021, 2022 and 2023
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