Bowen Island, British Columbia

Research

My research focuses on random matrix theory, high-dimensional probability, and mathematical optimization.

Here is a list of my publications and preprints in reverse chronological order.

• Global law of conjugate kernel random matrices with heavy-tailed weights, with Alice Guionnet, 2025.
  [arXiv] 

• Permutation recovery of spikes in noisy high-dimensional tensor estimation, with Gérard Ben Arous and Cédric Gerbelot, 2024.
  Accepted for publication in Stochastic Analysis and Applications 2025: In Honour of Terry Lyons, Springer Proceedings in Mathematics & Statistics.
  [arXiv] 

• Stochastic gradient descent in high dimensions for multi-spiked tensor PCA, with Gérard Ben Arous and Cédric Gerbelot, 2024.
  [arXiv] 

• Langevin dynamics for high-dimensional optimization: the case of multi-spiked tensor PCA, with Gérard Ben Arous and Cédric Gerbelot, 2024.
  [arXiv] 

• Topological complexity of spiked random polynomials and finite-rank spherical integrals, 2023.
  [arXiv]

• Analysis of one-hidden-layer Neural Networks via the Resolvent Method, with Dominik Schröder.
  NeurIPS, vol. 34, 2021
  [arXiv] [NeurIPS]