Thomas Allard

Thomas Allard

Postdoctoral researcher at Stanford University.

I am currently a postdoctoral researcher at Stanford University, working with David Donoho. Before joining Stanford University, I was a postdoctoral researcher at ETH Zurich (2025), where I also completed my PhD (2019-2024) under the supervision of Helmut Bölcskei on the topic of Metric Entropy of Ellipsoids with Applications to Machine Learning.

Research Interests:

• Approximation Theory• Harmonic Analysis
• Mathematical Statistics• Statistical Learning

News

Podcast StratIA [French]

J’ai eu le plaisir d’être invité par StratIA sur leur podcast pour discuter d’intelligence artificielle et de ses récents accomplissements en mathématiques. La vidéo est disponible sur leur chaîne Youtube.

Talk at FFT 2026

I have been invited to talk about our paper Entropy of compact operators with applications to Landau-Pollak-Slepian theory and Sobolev spaces (joint work with H. Bölcskei) at the 2026 Fall Fourier Talks (FFT 2026).

Previous News

Poster at SIAM MDS 2026

I will present a poster on Entropy Numbers from Time-Frequency Representations at the SIAM Conference on Mathematics of Data Science 2026 (MDS26) in November. Come say hi!

Poster at FoCM 2026

I will present a poster on Entropy Numbers from Time-Frequency Representations at the 10th conference on the Foundations of Computational Mathematics 2026 (FoCM).

Talk at ICCHA 2026

I will be talking about Entropy Numbers from Time-Frequency Representations at the 9th International Conference on Computational Harmonic Analysis (ICCHA 2026).

Slides are available here.

New Preprint Available

Our new preprint Entropy and Minimax Risk of Hypoelliptic Pseudodifferential Operators with H. Bölcskei is now available online.

Paper Accepted

Our article Metric Entropy of Ellipsoids in Banach Spaces: Techniques and Precise Asymptotics with H. Bölcskei has been accepted for publication in Journal of Functional Analysis.