About me
I am currently a PhD student in mathematics at Paderborn University under the supervision of Margit Rösler, where I am part of the CRC TRR 358 (Integral structures in geometry and representation theory).
Previously, I studied at Paderborn University where I completed my Bachelor's and Master's thesis under the supervision of Margit Rösler.
You may find my university website here.
Research
Here you find a list of my current research work and preprints.- Littlewood-Paley theory for orthogonal expansions associated with root systems (with M. Rösler) - arXiv:2609.12722 (2026)
- Uniform bounds on the Dunkl kernel - arXiv:2607.02176 (2026)
- Multiresolution analysis on spectra of Hermitian matrices (with M. Rösler) - Indag. Math. Vol. 36 (2025), No. 6, pp. 1671-1694.
Conferences & Seminars
I am co-organizing the PhD & Postdoc coffee/tea seminar at Paderborn University.Talks & Posters
- 18th Orthogonal Polynomials, Special Functions and Applications – OPSFA-18, Doshisha University, Kyoto, 08/2026 (contributed talk)
- Quantum Symmetric Pairs, Hecke Algebras, and Representations: Exploring Spherical Functions (Q-SPHERE 2026), Radboud University, Nijmegen, 06/2026 (contributed talk)
- Oberseminar "Geometrische und harmonische Analysis", Paderborn University, Paderborn, 06/2026 (seminar talk)
- PhD & Postdoc coffee/tea seminar, Paderborn University, Paderborn, 11/2025 (mini lecture series on Segal's Plancherel theorem)
- Oberseminar "Geometrische und harmonische Analysis", Paderborn University, Paderborn, 06/2025 (seminar talk)
- Seminar: Macdonald polynomials, Paderborn University, Paderborn, 04-05/2025 (two seminar talks)
- CRC TRR 358 retreat, Bad Sassendorf, 02/2025 (poster)
Silent participation
- DMV Topic day “Riemann’s mathematical legacy”, Georg-August-Universität, Göttingen, 09/2026
- Women in Harmonic Analysis, Paderborn University, Paderborn, 09/2025
- Lie theory, Spectra and Dynamics, Paderborn University, Paderborn, 09/2025
- Representation Theory and Probability, Leipzig University, Leipzig, 09/2024
- CRC TRR 358 opening conference, Paderborn University, Paderborn, 09/2024
- International Workshop on Operator Theory and its Applications (IWOTA), University of Kent, Canterbury, 08/2024
- Hypergeometric and Orthogonal Polynomials Event (HOPE), Radboud University, Nijmegen, 05/2024
Teaching
Assistant
During my PhD I was as of now teaching assistant for the following courses:- Harmonic analysis (graduate) (Lecturer: E. Papageorgiou) - SS24
- Complex analysis for teacher students (undergraduate) (Lecturer: M. Rösler) - SS25
- Proseminar Analysis (undergraduate) (with M. Rösler) - SS26
- Analysis 3 (undergraduate) (Lecturer: M. Rösler) - WS26/27
Responsibilities include: creating exercise sheets and solutions, coordinating exercises, giving tutorials, grading exams, organizing course websites.
Tutoring
During my studies, I worked as a student assistant.- Analysis 1 (one-variable real analysis) - WS20/21
- Analysis 2 (several variable real analysis) - SS21
- Analysis 3 (measure theory) - WS21/22
- Analysis 4 (complex analysis) - SS22
- Analysis 1 (one-variable real analysis) - WS22/23
- Analysis 4 (complex analysis) - SS23
- Spectral theory (of Banach-algebras, self-adjoint operators, ...) - WS23/24
Theses
- Master's Thesis: Multiresolution on spectra of Hermitian matrices (2024, supervision: M. Rösler)
The orbit space of the conjugation action of unitary matrices on Hermitian matrices naturally identifies with a Weyl chamber of type \(A_n\). We introduce a notion of multiresolution analysis adapted to this radial geometry. Of particular importance is the definition of a generalized translation, closer study of which involves precise knowledge of the Duistermaat-Heckman measure in this situation. Many results generalize to the setting of compact Lie groups acting via the adjoint action on their corresponding Lie algebras. The contents of this thesis make up the subsequent paper listed above.
- Bachelor's Thesis: A positive product formula for Bessel functions of type \(A_2\) (2021, supervision: M. Rösler)
A positive product linearization of Jack polynomials, their connection to Heckman-Opdam polynomials, and a contraction limit of Heckman-Opdam polynomials to Dunkl-Bessel functions allow for proving a positive product formula for the Dunkl-Bessel functions associated with the root system \(A_2\).