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
Stochastic Analysis and Applications 2025, 425--476, Springer, Cham, 2026
[Journal version] [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
Accepted for publication in Probability Theory and Related Fields, 2026
[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, 34, 2021
[NeurIPS] [arXiv]