PAUL BECKMAN

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PhD Candidate
Courant Institute of Mathematical Sciences
New York University
251 Mercer St., #1106
New York, NY 10012
paul dot beckman at cims dot nyu dot edu
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BIO

I am currently a PhD student at Courant advised by Mike O'Neil and supported by the DOE CSGF. My research focuses on using tools from classical and modern numerical analysis to develop fast algorithms for statistical modeling of physical systems.

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 have also had internships at Lawrence Berkeley National Lab with Xiaoye Sherry Li, Yang Liu, and Chao Yang, and at Lawrence Livermore National Lab with Daniel Osei-Kuffuor.

PUBLICATIONS

IN PREPARATION

Paul G. Beckman, Michael O'Neil. “A Nonuniform Fast Hankel Transform.”

Samuel F. Potter, Paul G. Beckman, Michael O'Neil. “A Butterfly-Accelerated Manifold Harmonic Transform.”

UNDER REVIEW

Paul G. Beckman, Christopher J. Geoga. “Fast Adaptive Fourier Integration for Spectral Densities of Gaussian Processes.” Submitted to Statistics and Computing.

PUBLISHED

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, supportive, and equitable for individuals who have been historically marginalized at all levels of math education and research. To this end, I am a tutor with the Petey Greene Program and GOSO, which are fantastic organizations supporting the educational goals of currently and formerly incarcerated people from high school equivalency through college. I also regularly attend and help lead discussions in the Courant Diversity, Equity, and Inclusion Reading Group.