I'm a postdoctoral researcher at the University of Vienna, where I completed my Ph.D. in Mathematics under Philipp Grohs in 2024. Prior to that, I studied at the Technical University of Munich and Seoul National University, resulting in the attainment of an M.Sc. degree in pure Mathematics in 2020.
Publications
Liehr, L., Arithmetic progressions and holomorphic phase retrieval, arXiv:2308.05722 (2023). arxiv.org/abs/2308.05722
Grohs, P., Liehr, L., Rathmair, M., Phase retrieval in Fock space and perturbation of Liouville sets, arXiv:2308.00385 (2023). arxiv.org/abs/2308.00385
Grohs, P., Liehr, L., Shafkulovska, I., From completeness of discrete translates to phaseless sampling of the short-time Fourier transform, arXiv:2211.05687 (2022). arxiv.org/abs/2211.05687
Grohs, P., Liehr, L., Phaseless sampling on square-root lattices, Found. Comput. Math. (2024).
doi.org/10.1007/s10208-024-09640-3Grohs, P., Liehr, L., Rathmair, M., Multi-window STFT phase retrieval: lattice uniqueness, arXiv:2207.10620 (2022). arxiv.org/abs/2207.10620
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., On Foundational Discretization Barriers in STFT Phase Retrieval. J. Fourier Anal. Appl. 28, 39 (2022). doi.org/10.1007/s00041-022-09935-5
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., Injectivity of Gabor phase retrieval from lattice measurements, Appl. Comput. Harmon. Anal. 62 (2023). doi.org/10.1016/j.acha.2022.09.001
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
(upcoming) Strobl24, Austria, June 9-25, 2024
(upcoming) Research term Lattice Structures in Analysis and Applications, Focus week 1: Phase retrieval in function spaces, ICMAT, Madrid, 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, 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
Theses
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: 1 April 2024)