# Jorge Garza Vargas

### jgarzavargas_at_berkeley_dot_edu

I’m a third-year math Ph.D student at UC Berkeley, co-advised by Nikhil Srivastava and Dan-Virgil Voiculescu.

My research focuses on free probability, random matrices, randomized numerical linear algebra and spectral graph theory. You can access my CV here.

For the remainder of the 2020 spring semester Voiculescu’s seminar is taking place remotely and interested people are welcome to join. Here you can find the titles and abstracts of previous and future talks.
If you would like to receive information about the seminar please send me an email.

## Research

#### Current work

- J. Banks, J. Garza-Vargas, A. Kulkarni, N. Srivastava, Overlaps, Eigenvalue Gaps, and Pseudospectrum under real Ginibre and Absolutely Continuous Perturbations . Preprint.
- J. Garza-Vargas, A. Kulkarni, Spectra of Infinite Graphs via Freeness with Amalgamation . Preprint.
- J. Banks, J. Garza-Vargas, A. Kulkarni, N. Srivastava, Pseudospectral Shattering, the Sign
Function, and Diagonalization in Nearly Matrix Multiplication Time. Submitted.
- J. Garza-Vargas, A. Kulkarni, The Lanczos Algorithm Under Few Iterations: Concentration and Location of the Ritz Values. Submitted.
- J. Garza-Vargas, D.V. Voiculescu, Boolean extremes and Dagum distributions. To appear in Indiana University Mathematics Journal.

#### As an undergraduate