Until July 2025, I was a Novikov Postdoctoral Fellow at the University of Maryland. I completed my PhD in March 2022 at ETH Zurich under the supervision of Prof. Rima Alaifari, with the thesis "Unknown Pleasures: Phase Retrieval for Time-Frequency and Time-Scale Structured Data." I hold a Master of Science in Applied Mathematics (2017) and a Bachelor of Science in Mathematics (2016), both from ETH Zurich.
My academic research focused on harmonic analysis and its applications in physics and machine learning; particularly, on group-invariant representations and phase retrieval.
I have since transitioned out of academia. For inquiries, feel free to contact me at wellersm (dot) math (at) gmail (dot) com.
(December 2025) We placed 4th among non-intrusive systems in the ICASSP 2026 Cadenza Challenge, with our technical report and code available on GitHub.
(October 2025) Our paper "Phasebook: a survey of selected open problems in phase retrieval" has been published in Sampling Theory, Signal Processing, and Data Analysis.
(October 2025) Our new preprint "Quantitative Bounds for Sorting-Based Permutation-Invariant Embeddings" is available on arXiv.