PAUL BECKMAN

Peter O'Donnell Jr. Postdoctoral Fellow
Oden Institute
University of Texas at Austin
201 E 24th St,
Austin, TX 78712
paul dot beckman at austin dot utexas dot edu
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BIO

I am currently a Peter O'Donnell Jr. Postdoctoral Fellow at the Oden Institute at UT Austin advised by Gunnar Martinsson and Joe Kileel.

Before joining Oden, I completed my PhD in Mathematics at the Courant Institute at New York University advised by Mike O'Neil and supported by the DOE CSGF. My thesis focused on using tools from classical and modern numerical analysis to develop fast algorithms for statistical modeling of data collected over temporal or spatial domains, or on the surface of a manifold.

I received my undergraduate degree in Computational and Applied Mathematics at the University of Chicago, and worked as a math and statistics researcher at Argonne National with Mihai Anitescu, Michael Stein, and Chris Geoga. I've held temporary positions at Lawrence Berkeley National Lab working with Xiaoye Sherry Li, Yang Liu, and Chao Yang, and at Lawrence Livermore National Lab with Daniel Osei-Kuffuor.

PUBLICATIONS

UNDER REVIEW

Christopher J. Geoga, Paul G. Beckman. “Nonparametric spectral density estimation from irregularly sampled data.” arXiv preprint arXiv:2503.00492 (2025).

Paul G. Beckman, Michael O'Neil. “A Nonuniform Fast Hankel Transform.” arXiv preprint arXiv:2411.03029 (2024).

PUBLISHED

Paul G. Beckman, Christopher J. Geoga. “Fast Adaptive Fourier Integration for Spectral Densities of Gaussian Processes.” Statistics and Computing 34, no. 6 (2024): 217.

Paul G. Beckman, Christopher J. Geoga, Michael L. Stein, and Mihai Anitescu. “Scalable Computations for Nonstationary Gaussian Processes.” Statistics and Computing 33, no. 4 (2023): 84. (2023).

David B. Williams-Young, Paul G. Beckman, and Chao Yang. “A Shift Selection Strategy for Parallel Shift-Invert Spectrum Slicing in Symmetric Self-Consistent Eigenvalue Computation.” ACM Transactions on Mathematical Software (TOMS) 46, no. 4 (2020): 1-31.

Paul G. Beckman, Jean-Luc Fattebert, Edmond Y. Lau, and Daniel Osei-Kuffuor. A geometric initial guess for localized electronic orbitals in modular biological systems. No. LLNL-TR-738503. Lawrence Livermore National Lab. 2017.

EQUITY IN MATH

I believe we must work to make mathematics more accessible and supportive to people who have been historically marginalized at all levels of math education and research. To this end, while in New York I was a tutor with GOSO and the Petey Greene Program, which are fantastic organizations supporting the educational goals of currently and formerly incarcerated individuals from high school equivalency through college. I'm happy to chat about these roles, and I hope to get involved in a similar capacity here in Texas, so feel free to reach out!