Alyson Fox is a computational mathematician at the Lawrence Livermore National Laboratory (LLNL), where she contributes to the Mathematical Algorithms and Computing group within the Center for Applied Scientific Computing (CASC). Her research focuses on variable precision computing to enhance the efficiency of data representation and compression for simulation data and on developing advanced numerical algorithms. Key areas of her expertise include iterative solvers for linear systems and eigenvalue problems, asynchronous iterative methods, lossy compression, floating-point error analysis, graph algorithms, and innovations in collaborative autonomy critical infrastructure.

Alyson joined CASC in August 2017 as a postdoctoral researcher under the mentorship of Jeff Hittinger. She transitioned to a staff scientist role in October 2018, where she continues to push the boundaries of applied mathematics in high-performance computing environments. Alyson earned her Ph.D. in Applied Mathematics from the University of Colorado Boulder in 2017, where she worked under the guidance of Tom Manteuffel and Geoff Sanders. Additionally, she holds a Master of Science in Applied Mathematics (2015) from the same institution and a Bachelor of Science in Mathematics with a concentration in Statistics and a minor in Business from Loyola University Maryland (2012).

Her work continues to influence the development of robust and efficient computational methods, particularly in environments where precision and resilience are critical.

Ph.D. Applied Mathematics, University of Colorado Boulder, Boulder, Colorado

M.S. in Applied Mathematics, University of Colorado Boulder, Boulder, Colorado

B.S. Mathematics (Statistics Concentration), Minor in Business, Loyola University Maryland, Baltimore, Maryland

Fox, Alyson, and Peter Lindstrom. 2024. "Statistical Analysis of ZFP: Understanding Bias." SIAM Journal on Scientific Computing. Submitted.

Lindstrom, Peter, Jeffrey Hittinger, James Diffenderfer, Alyson Fox, and David Osei-Kuffuor. 2024. "ZFP: A Compressed Array Representation for Numerical Computations." International Journal of High Performance Computing Applications. To Appear.

Vogl, Christopher J., Zachary Atkins, Alyson Fox, Agnieszka Miedlar, and Colin Ponce. 2024. "Modifying the Asynchronous Jacobi Method for Data Corruption Resilience." SIAM Journal on Scientific Computing. To Appear. https://arxiv.org/abs/2206.08479.

Erlandson, Luke, Zachary Atkins, Alyson Fox, Christopher J. Vogl, Agnieszka Miedlar, and Colin Ponce. 2023. "Resilient s-ACD for Asynchronous Collaborative Solutions of Systems of Linear Equations." Proceedings of the 18th Conference on Computer Science and Intelligence Systems, FedCSIS 2023, Warsaw, Poland, September 17-20. https://doi.org/10.15439/2023F8932.

Fox, Alyson, Christopher J. Vogl, Colin Ponce, Agnieszka Miedlar, Jean-Paul Watson, and Steve Chapin. 2022. "Algorithmic Development for Unreliable Computing Environments." ASCR Workshop on Cybersecurity and Privacy for Scientific Computing Ecosystems Position Paper. https://doi.org/10.2172/1843573.

Admad, Azzam, Hartwig Anzt, Alyson Fox, et al. 2021. "A Survey of Numerical Linear Algebra Methods Utilizing Mixed-Precision Arithmetic." The International Journal of High Performance Computing Applications 35, no. 4: 344-369. https://doi.org/10.1177/10943420211003313.

Yang, L. Minah, Alyson Fox, and Geoff Sanders. 2021. "Mixed Precision Analysis of Householder QR Algorithms." SIAM Journal on Scientific Computing. https://doi.org/10.1137/19M1296367.

Yang, L. Minah, and Alyson Fox. 2020. "Analysis of Floating-Point Round-Off Error in Linear Algebra Routines for Graph Clustering." IEEE High Performance Extreme Computing Conference (HPEC). https://doi.org/10.1109/HPEC43674.2020.9286190.

Fox, Alyson, James Diffenderfer, Jeffrey Hittinger, Geoff Sanders, and Peter Lindstrom. 2020. "Stability Analysis of Inline ZFP Compression for Floating-Point Data." SIAM Journal on Scientific Computing. https://doi.org/10.1137/19M126904X.

Diffenderfer, James, Alyson Fox, Jeffrey Hittinger, Geoff Sanders, and Peter Lindstrom. 2019. "Error Analysis of ZFP Compression for Floating-Point Data." SIAM Journal on Scientific Computing. https://doi.org/10.1137/18M1168832.

Fox, Alyson, Geoff Sanders, and Andrew Knyazev. 2018. "Investigation of Spectral Clustering for Signed Graph Matrix Representations." IEEE High Performance Extreme Computing Conference (HPEC). https://doi.org/10.1109/HPEC.2018.8547575.

Fox, Alyson, and Thomas Manteuffel. 2018. "Algebraic Multigrid for Directed Graph Laplacian Linear Systems (NS‐LAMG)." Numerical Linear Algebra with Applications. https://doi.org/10.1002/nla.2152.

Fox, Alyson, Thomas Manteuffel, and Geoff Sanders. 2017. "Numerical Methods for Gremban’s Expansion of Signed Graphs." SIAM Journal on Scientific Computing. https://doi.org/10.1137/16M1082433.

Fox, Alyson, and Michael Knapp. 2013. "A Note on Weakly Complete Sequences." Journal of Integer Sequences 16: Article 13.6.2.