Martin Ehler

Martin Ehler serves as Associate Professor and Vice-Dean for Teaching at the University of Vienna's Faculty of Mathematics, where he concurrently holds the position of Deputy Head of the Institute of Mathematics. His academic activities are centered at Oskar-Morgenstern-Platz 1, Room 10.128, Vienna, with primary responsibilities spanning research leadership, teaching undergraduate/graduate mathematics courses, and administrative oversight of academic programs.

His research program in Computational Harmonic Analysis drives innovations in Mathematical Data Analysis and Medical Image Processing, evidenced by his leadership in the Applied Harmonic Analysis Cluster (AHA) and co-organization of the bi-annual Strobl conference. Core methodologies integrate frame theory, manifold approximation, and spherical design principles to address challenges in neural network stability, medical imaging reconstruction, and signal processing robustness.

Analysis of his 2023-2025 publications reveals dominant themes in harmonic analysis applications to deep learning architectures (particularly ReLU-layer injectivity and filterbank design), geometric approximation on manifolds, and medical imaging algorithms. These works demonstrate consistent interdisciplinary collaboration across mathematics, signal processing, and biomedical engineering domains.

No scientific awards were documented in the provided materials.

While teaching responsibilities for courses like Introduction to Analysis and Mathematics of Data Science are explicitly listed, details regarding graduate student supervision or research grant funding were absent from the source texts.

His research ecosystem is anchored in the Applied Harmonic Analysis Cluster (AHA), facilitating cross-institutional collaboration on harmonic analysis applications, with documented partnerships through co-authored publications in venues like IEEE Signal Processing Letters and Mathematics of Computation.