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.
  [arXiv] 

• Permutation recovery of spikes in noisy high-dimensional tensor estimation, with Gérard Ben Arous and Cédric Gerbelot.
  [arXiv] 

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

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

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

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