Research

You can check my google scholar here, and below see a list of my papers.

J. Garza-Vargas, I. Hubard, Politopality of Maniplexes. Discrete Mathematics, Vol. 341, Issue 7, 2018.

O. Arizmendi, J. Garza-Vargas, D. Perales, Finite Free Cumulants: Multiplicative Convolutions, Genus Expansion and Infinitesimal Distributions. Transactions of the American Mathematical Society, Vol. 376, 4383-4420, 2023.
J. Garza-Vargas, D.V. Voiculescu, Boolean extremes and Dagum distributions. Indiana University Mathematics Journal, Vol. 70, Issue 2, 2021.

J. Banks, J. Garza-Vargas, N. Srivastava, Global Convergence of Hessenberg Shifted QR III: Approximate Ritz Values via Shifted Inverse Iteration. To appear in SIAM Journal on Matrix Analysis and Applications.
J. Banks, J. Garza-Vargas, N. Srivastava, Global Convergence of Hessenberg Shifted QR II: Numerical Stability. To appear in SIAM Journal on Matrix Analysis and Applications.
J. Banks, J. Garza-Vargas, N. Srivastava, Global Convergence of Hessenberg Shifted QR I: Dynamics . To appear in Foundations of Computational Mathematics.
J. Banks, J. Garza-Vargas, A. Kulkarni, N. Srivastava, Pseudospectral Shattering, the Sign Function, and Diagonalization in Nearly Matrix Multiplication Time. Published as extended abstract in FOCS 2020, invited to SICOMP Special Issue for FOCS 2020. Full version in Foundations of Computational Mathematics, 2022 Aug 24:1-89.
J. Garza-Vargas, A. Kulkarni, The Lanczos Algorithm Under Few Iterations: Concentration and Location of the Output. SIAM Journal on Matrix Analysis and Applications, Vol. 41, Issue 3, 2020.

C. F. Chen, J. Garza-Vargas, R. van Handel, A new approach to strong convergence II. The classical ensembles. Preprint.
C. F. Chen, J. Garza-Vargas, J.A. Tropp, R. van Handel, A new approach to strong convergence. Preprint.
B. Au, J. Garza-Vargas, Spectral asymptotics for contracted tensor ensembles. Electronic Journal of Probability, Vol. 28, 2023.
J. Banks, J. Garza-Vargas, A. Kulkarni, N. Srivastava, Overlaps, Eigenvalue Gaps, and Pseudospectrum under real Ginibre and Absolutely Continuous Perturbations. To appear in Annales de l'Institut Henri Poincaré, Probability and Statistics.

J. Banks, J. Breuer, J. Garza-Vargas, E. Seelig, B. Simon, A useful formula for periodic Jacobi matrices on trees. Proceedings of the National Academy of Science, Vol. 121, No. 23, 2024.
J. Garza-Vargas, A. Kulkarni, Spectra of Infinite Graphs via Freeness with Amalgamation. Canadian Journal of Mathematics, Vol. 75, Issue 5, 633-1684, 2023.
J. Banks, J. Garza-Vargas, S. Mukherjee, Point Spectrum of Periodic Operators on Universal Covering Trees. International Mathematics Research Notices, Vol. 2022, Issue 22, 2022.