Bowen Island, British Columbia
Bowen Island, British Columbia
My research is grounded in probability and random matrix theory, with a focus on the mathematical foundations of modern data science.
Below is a list of my publications and preprints in reverse chronological order.
Global law of conjugate kernel random matrices with heavy-tailed weights
Joint with Alice Guionnet
Electronic Journal of Probability, 31(8), 1--58 (2026)
[Journal version] [arXiv]
Permutation recovery of spikes in noisy high-dimensional tensor estimation
Joint with Gérard Ben Arous and Cédric Gerbelot
Accepted for publication in Stochastic Analysis and Applications 2025: In Honour of Terry Lyons, Springer Proceedings in Mathematics & Statistics (2026)
[arXiv]
Stochastic gradient descent in high dimensions for multi-spiked tensor PCA
Joint with Gérard Ben Arous and Cédric Gerbelot
Accepted for publication in Communications on Pure and Applied Mathematics (2026)
[arXiv]
Langevin dynamics for high-dimensional optimization: the case of multi-spiked tensor PCA
Joint with Gérard Ben Arous and Cédric Gerbelot
Submitted (2024)
[arXiv]
Topological complexity of spiked random polynomials and finite-rank spherical integrals.
Accepted for publication in Annals of Applied Probability (2026)
[arXiv]
Analysis of one-hidden-layer Neural Networks via the Resolvent Method
Joint with Dominik Schröder
NeurIPS, vol. 34 (2021)
[NeurIPS] [arXiv]