Finite Free Information Inequalities
Preprint
Research
Papers
Titles link to the arXiv version. The list is ordered by initial arXiv posting date, with the most recent work first.
A new approach to strong convergence II. The Classical Ensembles
Preprint To appear in Geometric and Functional Analysis.
A new approach to strong convergence
Annals of Mathematics, Vol. 203, No. 2, 555–602, 2026.
A Useful Formula for Periodic Jacobi Matrices on Trees
Proceedings of the National Academy of Sciences, Vol. 121, No. 23, 2024.
Global Convergence of Hessenberg Shifted QR II: Numerical Stability
SIAM Journal on Matrix Analysis and Applications, Vol. 46, No. 2, 2025.
Global Convergence of Hessenberg Shifted QR III: Approximate Ritz Values via Shifted Inverse Iteration
SIAM Journal on Matrix Analysis and Applications, Vol. 46, No. 2, 1212–1246, 2025.
Global Convergence of Hessenberg Shifted QR I: Exact Arithmetic
Foundations of Computational Mathematics, Vol. 25, 1561–1594, 2024.
Spectral Asymptotics for Contracted Tensor Ensembles
Electronic Journal of Probability, Vol. 28, 2023.
Finite Free Cumulants: Multiplicative Convolutions, Genus Expansion and Infinitesimal Distributions
Transactions of the American Mathematical Society, Vol. 376, 4383–4420, 2023.
Point Spectrum of Periodic Operators on Universal Covering Trees
International Mathematics Research Notices, Vol. 2022, No. 22, 17713–17744, 2022.
Overlaps, Eigenvalue Gaps, and Pseudospectrum Under Real Ginibre and Absolutely Continuous Perturbations
Annales de l’Institut Henri Poincaré, Probability and Statistics, Vol. 60, No. 4, 2736–2766, 2024.
Spectra of Infinite Graphs via Freeness with Amalgamation
Canadian Journal of Mathematics, Vol. 75, No. 5, 1633–1684, 2023.
Pseudospectral Shattering, the Sign Function, and Diagonalization in Nearly Matrix Multiplication Time
Published as an extended abstract in FOCS 2020; invited to the SICOMP Special Issue for FOCS 2020. Full version in Foundations of Computational Mathematics, Vol. 23, No. 6, 1959–2047, 2023.
The Lanczos Algorithm Under Few Iterations: Concentration and Location of the Output
SIAM Journal on Matrix Analysis and Applications, Vol. 41, No. 3, 1312–1346, 2020.
Boolean Extremes and Dagum Distributions
Indiana University Mathematics Journal, Vol. 70, No. 2, 595–603, 2021.
Politopality of Maniplexes
Discrete Mathematics, Vol. 341, No. 7, 2068–2079, 2018.