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.
(May 2026) My paper "On a dense set of functions determined by sampled Gabor magnitude" has been published in Applied and Computational Harmonic Analysis.
(March 2026) Our paper "Quantitative Bounds for Sorting-Based Permutation-Invariant Embeddings" has been published in IEEE Transactions on Information Theory.
(December 2025) Our new preprint "Cheeger's constant for the Gabor transform and ripples" is available on arXiv.