Matthias Wellershoff - PhD student at ETH Zurich

About me

I am a doctoral student of Rima Alaifari at ETH Zurich. I mainly work on phase retrieval for time-frequency structured measurements. More recently, I started to consider phase retrieval from magnitude information of the wavelet transform.

You can contact me under the email address given in the footer.

News

(May 2022) I will give a talk with the title ''Phase retrieval of entire functions'' at Curves and Surfaces 2022 in Arcachon, France, on the 21st of June 2022. More information can be found on the page of the conference.
(May 2022) Our new paper ''On the connection between uniqueness from samples and stability in Gabor phase retrieval'' has just appeared on arXiv.
(March 2022) I successfully defended my PhD thesis with the title "Unknown pleasures: phase retrieval for time-frequency and time-scale structured data".

Research

On the connection between uniqueness from samples and stability in Gabor phase retrieval

Rima Alaifari • Francesca Bartolucci • Stefan Steinerberger • Matthias Wellershoff
May 2022

Phase retrieval of entire functions and its implications for Gabor phase retrieval

Matthias Wellershoff
February 2022

Phase retrieval from sampled Gabor transform magnitudes: Counterexamples

Rima Alaifari • Matthias Wellershoff
Journal of Fourier Analysis and Applications 28
December 2021

Injectivity of sampled Gabor phase retrieval in spaces with general integrability conditions

Matthias Wellershoff
December 2021

Stability estimates for phase retrieval from discrete Gabor measurements

Rima Alaifari • Matthias Wellershoff
Journal of Fourier Analysis and Applications 27
February 2021

Uniqueness of STFT phase retrieval for bandlimited functions

Rima Alaifari • Matthias Wellershoff
Applied and Computational Harmonic Analysis • vol. 50 • pp. 34-48
January 2021

Phase retrieval of bandlimited functions for the wavelet transform

Rima Alaifari • Francesca Bartolucci • Matthias Wellershoff
September 2020

On the Stability of Gabor Phase Retrieval

Rima Alaifari • Matthias Wellershoff
Proceedings of the 23rd International Congress on Acoustics
September 2019

Ill-conditionedness of discrete Gabor phase retrieval and a possible remedy

Rima Alaifari • Matthias Wellershoff
2019 13th International conference on Sampling Theory and Applications (SampTA)
July 2019

Short CV

2012 - 2016 BSc Mathematics
ETH Zurich
2015 - 2017 MSc Applied Mathematics
ETH Zurich
2017 - 2022 Doctor of Sciences
ETH Zurich

I did my BSc in Mathematics at ETH Zurich from 2012 until 2016. My bachelor thesis was titled "On the convergence rate of gradient descent for the computation of Riemannian averages". You can find the full text here.

I did my MSc in Applied Mathematics at ETH Zurich from 2015 until 2017. My master thesis was titled "Phase retrieval for audio processing applications". You can find the full text here.

Apart from Mathematics, I am interested in snowboarding and cycling. In addition, I am directing a small firm which acts as an investment manager for an actively managed certificate.

For a full CV, please contact me under the email address given in the footer.