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I am a postdoctoral researcher at Bar-Ilan University, working under the supervision of Nir Lev. I completed my Ph.D. in Mathematics at the University of Vienna in 2024, where I was part of the Applied Harmonic Analysis Cluster. Before that, I studied at the Technical University of Munich and Seoul National University.

My research interest centers around Harmonic Analysis and Functional Analysis.

Publications

Grohs, P., Liehr, L., Rathmair, M., Phase retrieval in Fock space and perturbation of Liouville sets, Rev. Mat. Iberoam. 41, 3 (2025). doi.org/10.4171/rmi/1517
Liehr, L., Translation-based completeness on compact intervals, J. Approx. Theory 305 (2025). doi.org/10.1016/j.jat.2024.106104
Grohs, P., Liehr, L., Rathmair, M., Multi-window STFT phase retrieval: lattice uniqueness, J. Funct. Anal. 288, 3 (2025). doi.org/10.1016/j.jfa.2024.110733
Grohs, P., Liehr, L., Phaseless sampling on square-root lattices, Found. Comput. Math. 25 (2025).
doi.org/10.1007/s10208-024-09640-3
Grohs, P., Liehr, L., Shafkulovska, I., From completeness of discrete translates to phaseless sampling of the short-time Fourier transform, Adv. Comput. Math., accepted (2025). arxiv.org/abs/2211.05687
Liehr, L., Arithmetic progressions and holomorphic phase retrieval, Bull. Lond. Math. Soc. 56, 11 (2024). doi.org/10.1112/blms.13134
Grohs, P., Liehr, L., Stable Gabor phase retrieval in Gaussian shift-invariant spaces via biorthogonality, Constr. Approx. 59 (2024). doi.org/10.1007/s00365-023-09629-1
Grohs, P., Liehr, L., Non-uniqueness theory in sampled STFT phase retrieval, SIAM J. Math. Anal. 55, 5 (2023). doi.org/10.1137/22M1510224
Grohs, P., Liehr, L., Injectivity of Gabor phase retrieval from lattice measurements, Appl. Comput. Harmon. Anal. 62 (2023). doi.org/10.1016/j.acha.2022.09.001
Grohs, P., Liehr, L., On Foundational Discretization Barriers in STFT Phase Retrieval. J. Fourier Anal. Appl. 28, 39 (2022). doi.org/10.1007/s00041-022-09935-5
Filbir, F., Liehr, L., Phase Distortion by Linear Signal Transforms, Front. Appl. Math. Stat. 6 (2020). doi.org/10.3389/fams.2020.556585
Liehr, L., Massopust, P., On the mathematical validity of the Higuchi method, Phys. D 402 (2020). doi.org/10.1016/j.physd.2019.132265

Talks

Annual Meeting of the Israel Mathematical Union 2025, Analysis Session, Israel, July 6, 2025
Modern Trends in Fourier Analysis, Barcelona, Spain, June 2-6, 2025
FIM Workshop on Phase Retrieval and Banach Lattices, ETH Zurich, Switzerland, May 5-9, 2025
BIU Mathematics Colloquium, Bar-Ilan University, Israel, March 30, 2025
ICMAT Research term Lattice Structures in Analysis and Applications, Madrid, Spain, May 6-10, 2024
Workshop on Fourier Analysis and its applications, Budapest, Hungary, January 29 - February 2, 2024
11th Applied Inverse Problems Conference, Göttingen, Germany, September 4-8, 2023
Oberseminar Optimization and Data Analysis, Technical University of Munich, Germany, 6 July 2023
Foundations of Computational Mathematics, Paris, France, June 12-21, 2023 (poster presentation)
Mini-courses in Mathematical Analysis, Padova, Italy, June 19-23, 2023
Workshop on Quantum Harmonic Analysis, Norwegian University of Science and Technology, Trondheim, Norway, June 5-9, 2023
International Conference on Approximation Theory and Beyond, Vanderbilt University, Nashville, Tennessee, USA, May 15-18, 2023
Harmonic Analysis Seminar, University of Vienna, Austria, October 17, 2022
8th International Conference on Computational Harmonic Analysis, Ingolstadt, Germany, September 12-16, 2022
Curves and Surfaces Conference, Arcachon, France, June 20-24, 2022
11th International Conference on Harmonic Analysis and Partial Differential Equations, El Escorial, Spain, June 10-6, 2022

Thesis

Phaseless sampling of the short-time Fourier transform, Ph.D. Thesis, University of Vienna (2024), Supervisor: Philipp Grohs
Reconstruction of signals from truncated phaseless measurements, M.Sc. Thesis, Technical University of Munich (2020), Supervisor: Felix Krahmer and Frank Filbir
Derivation of the Hertz dipole through Maxwell’s equations via Fourier Analysis for distributions, B.Sc. Thesis, Technical University of Munich (2017), Supervisor: Gero Friesecke

(Last update: 30 April 2025)

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