Charbel Abi Younes

Charbel Abi Younes

PhD candidate, Department of Applied Mathematics
University of Washington

cyounes (at) uw (dot) edu
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I am a fourth-year PhD student in the Department of Applied Mathematics at the University of Washington, advised by Thomas Trogdon. My research lies at the intersection of random matrix theory, orthogonal polynomials, and numerical linear algebra. I am particularly interested in the behavior of Krylov methods on large random matrices, with applications to spectral density estimation, spike detection, and covariance estimation.

Publications and preprints

  1. Banded Hermitian matrices, matrix orthogonal polynomials, and the Toda lattice, with T. Trogdon. Preprint (2026).
  2. A Lanczos-based algorithmic approach for spike detection in large sample covariance matrices, with X. Ding and T. Trogdon. Preprint (2025).

Selection of talks

Asymptotics of orthogonal polynomials with applications to density estimation of random matrices July 2026 · SIAM Annual Meeting, Cleveland, OH
Spectral density estimation for random matrices May 2026 · 27th Conference of the International Linear Algebra Society, Virginia Tech
A Lanczos-based approach for spike detection in large sample covariance matrices October 2025 · SIAM Pacific Northwest Section Fifth Biennial Meeting, Seattle, WA
A Lanczos-based approach for spike detection in large sample covariance matrices June 2025 · Second Conference on Random Matrix Theory and Numerical Linear Algebra, Seattle, WA · Talk and poster
Asymptotics of orthogonal polynomials with applications in spectral density estimation April 2025 · Thirteenth International Conference on Nonlinear Evolution Equations and Wave Phenomena, Athens, GA

Teaching

Instructor, University of Washington

Teaching assistant, University of Washington

Last updated September 2026.