Erin Claire Carson, Ph.D.

Sokolovská 49/83
Department of Numerical Mathematics
Faculty of Mathematics and Physics
Charles University
186 75, Praha 8
Czech Republic
Email: carson@karlin.mff.cuni.cz

PhD Thesis

Journal Papers

• P. Vacek, E. Carson, and K. M. Soodhalter, The Effect of Approximate Coarsest-Level Solves on the Convergence of Multigrid V-Cycle Methods, SIAM Journal on Scientific Computing 46(4), A2634-A2659, 2024. [link (open access)][preprint]
• E. Carson, J. Liesen, and Z. Strakoš, Towards Understanding CG and GMRES Through Examples, Lin. Alg. Appl. 60, 241-291, 2024. [link (open access)]
• E. Carson and I. Daužickaitė, Single-pass Nyström Approximation in Mixed Precision, SIAM J. Matrix Anal. Appl. 45(3), 1361-1391, 2024.[link (open access)][preprint]
• E. Carson and I. Daužickaitė, The Stability of Split-Preconditioned FGMRES in Four Precisions, Elec. Trans. Numer. Anal. 60, 40-48, 2024. [pdf]
• S. Thomas, E. Carson, M. Rozložník, A. Carr, and K. Świrydowicz, Iterated Gauss-Seidel GMRES, SIAM J. Sci. Comput. 46(2), S254-S279, 2024. [link][preprint]
• E. Oktay and E. Carson, Mixed Precision Rayleigh Quotient Iteration for Total Least Squares Problems, Numerical Algorithms, 2023. [link][preprint]
• E. Carson and N. Khan, Mixed Precision Iterative Refinement with Sparse Approximate Inverse Preconditioning, SIAM J. Sci. Comput. 45(3), C131-C153, 2023. [link][preprint]
• E. Oktay and E. Carson, Multistage Mixed Precision Iterative Refinement, Numerical Linear Algebra with Applications, e2434, 2022. [link][preprint]
• E. Carson, K. Lund, M. Rozložník, and S. Thomas, Block Gram-Schmidt Algorithms and their Stability Properties, Linear Algebra and its Applications 638, 150-195, 2022. [link][preprint]
• E. Carson, T. Gergelits, and I. Yamazaki, Mixed Precision s-step Lanczos and Conjugate Gradient Algorithms, Numerical Linear Algebra with Applications 29(3), e2425, 2022. [link]
• E. Carson, K. Lund, and M. Rozložník, The Stability of Block Variants of Classical Gram-Schmidt, SIAM J. Matrix Anal. Appl. 42(3), 1365-1380, 2021. [link][preprint]
• A. Abdelfattah, H. Anzt, E. G. Boman, E. Carson, et al., A Survey of Numerical Methods Utilizing Mixed-Precision Arithmetic, The International Journal of High Performance Computing Applications 35(4), 344-369, 2021. [link][arXiv preprint]
• E. Carson, N. J. Higham, and S. Pranesh. Three-Precision GMRES-Based Iterative Refinement for Least Squares Problems, SIAM J. Sci. Comput. 42(6), A4063-A4083, 2020. [link (open access)]
• T. Chen and E. C. Carson. Predict-and-recompute conjugate gradient variants, SIAM J. Sci. Comput. 42(5), A3084-A3108, 2020. [link]
• E. C. Carson, An Adaptive s-step Conjugate Gradient Algorithm with Dynamic Basis Updating, Applications of Mathematics 65(2), 123-151, 2020. [link]
• E. Carson and Z. Strakoš, On the Cost of Iterative Computations, Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences 378(2166), 2020, DOI 10.1098/rsta.2019.0050. [link] (Note: this paper is a follow-on from the invited lecture at the Royal Society in April 2019; see slides and audio below.)
• E. Carson, M. Rozložník, Z. Strakoš, P. Tichý, and M. Tůma, The numerical stability analysis of pipelined conjugate gradient methods: Historical context and methodology, SIAM J. Sci. Comput. 40(5), 2018, pp.A3549-A3580. [link][PDF]
• E. Carson, The adaptive s-step conjugate gradient method, SIAM J. Matrix Anal. Appl. 39(3), 2018, pp.1318-1338. [link]
• E. Carson and N.J. Higham, Accelerating the solution of linear systems by iterative refinement in three precisions, SIAM J. Sci. Comput. 40(2), 2018, pp. A817-A847. [link (open access)]
  
• E. Carson and N.J. Higham, A New Analysis of Iterative Refinement and its Application to Accurate Solution of Ill-Conditioned Sparse Linear Systems, SIAM J. Sci. Comput. 39(6), 2017, pp. A2834-A2856. [link (open access)]
  
• E. Solomonik, E. Carson, N. Knight, and J. Demmel, Tradeoffs between Synchronization, Communication, and Computation in Parallel Linear Algebra Computations, ACM Transactions on Parallel Computing (TOPC), 3(1), 2016. [link]
• E. Carson and J. Demmel, Accuracy of the s-step Lanczos Method for the Symmetric Eigenproblem in Finite Precision, SIAM J. Matrix Anal. Appl. 36 (2), 2015. [link]
• E. Carson, N. Knight, and J. Demmel, An Efficient Deflation Technique for the Communication-Avoiding Conjugate Gradient Method, Electronic Transactions on Numerical Analysis, 43, 2014, pp. 125-141. [link]
• G. Ballard, E. Carson, J. Demmel, M. Hoemmen, N. Knight, and O.Schwartz, Communication Lower Bounds and Optimal Algorithms for Numerical Linear Algebra, Acta Numerica, 23 (2014), pp. 1-155. [link]
• N. Knight, E. Carson and J. Demmel. Exploiting Data Sparsity in Parallel Matrix Powers Computations, in Parallel Processing and Applied Mathematics, R. Wyrzykowski, J. Dongarra, K. Karczewski, and J. Waniewski, eds., Lecture Notes in Computer Science, Springer Berlin Heidelberg, 2014, pp.15-25. [link]
• E. Carson and J. Demmel. A Residual Replacement Strategy for Improving the Maximum Attainable Accuracy of s-Step Krylov Subspace Methods. SIAM J. Matrix Anal. Appl. 35(1), 2014. [link]
• E. Carson, N. Knight, and J. Demmel. Avoiding Communication in Nonsymmetric Lanczos-based Krylov Subspace Methods. SIAM J. Sci. Comp. 35 (5), 2013. [link]

Conference Proceedings

• E. Oktay and E. Carson, Using Mixed Precision in Low-Synchronization Reorthogonalized Block Classical Gram-Schmidt, In Proceedings in Applied Mathematics and Mechanics 23, 2023, e202200060. [link]
• E. Oktay and E. Carson, Mixed Precision GMRES-Based Iterative Refinement with Recycling, In Proceedings of Programs and Algorithms of Numerical Mathematics (PANM), Czech Republic, June 19-24, 2022, pp. 149-162. [link]
• E. Carson, B. Kelley, and I. Yamazaki, Mixed Precision s-step Conjugate Gradient with Residual Replacement on GPUs, In Proceedings of the 36th IEEE International Parallel and Distributed Processing Symposium (IPDPS), 2022, pp. 886-896 [link].
• E. Carson, J. Demmel, L. Grigori, N. Knight, P. Koanantakool, O. Schwartz, and H.V. Simhadri. Write-Avoiding Algorithms, In Proceedings of the 30th IEEE International Parallel and Distributed Processing Symposium (IPDPS), 2016, pp. 648-658 [link].
• E. Solomonik, E. Carson, N. Knight, and J. Demmel. Tradeoffs Between Synchronization, Communication, and Work in Parallel Linear Algebra Computations. In Proceedings of the 26th ACM Symposium on Parallelism in Algorithms and Architectures (SPAA), 2014. [link]
• S. Williams, E. Carson, M. Lijewski, N. Knight, A. Almgren, B. Van Straalen, and J. Demmel. s-Step Krylov Subspace Methods as Bottom Solvers for Geometric Multigrid. In Proceedings of the 28th IEEE International Parallel and Distributed Processing Symposium (IPDPS), 2014. [link]

Technical Reports

• E. Carson, K. Lund, Y. Ma, and E. Oktay, On the Loss of Orthgonality in Low-Synchronization Variants of Reorthogonalized Block Classical Gram-Schmidt, arXiv:2408.10109, August 2024. [pdf]
• E. Carson, X. Chen, and X. Liu, Mixed Precision HOLDR Matrices, arXiv:2407.21637, July 2024. [pdf]
• E. Carson, X. Chen, and X. Liu, Computing k-means in Mixed Precision, arXiv:2407.12208, July 2024. [pdf]
• E. Carson and I. Daužickaitė, A Comparison of Mixed Precision Iterative Refinement Approaches for Least-Squares Problems, arXiv:2405.18363, May 2024. [pdf]
• E. Carson, K. Lund, Y. Ma, and E. Oktay, Reorthogonalized Pythagorean Variants of Block Classical Gram-Schmidt, arXiv:2405.01298, May 2024. [pdf]
• E. Carson and E. Oktay, Mixed Precision FGMRES-Based Iterative Refinement for Weighted Least Squares, arXiv:2401.03755, January 2024. [pdf]
• P. Vacek, E. Carson, and K. M. Soodhalter, The Effect of Approximate Coarsest-Level Solves on the Convergence of Multigrid V-Cycle Methods, arXiv:2306.06182, June 2023. [pdf]
• E. Oktay and E. Carson, Mixed Precision Rayleigh Quotient Iteration for Total Least Squares Problems, arXiv:2305.19028, May 2023. [pdf]
• E. Carson and I. Daužickaitė, The Stability of Split-Preconditioned FGMRES in Four Precisions, arXiv:2303.11901, March 2023. [pdf]
• E. Carson, J. Liesen, and Z. Strakoš, 70 Years of Krylov Subspace Methods: The Journey Continues, arXiv:2211.00953, November 2022. [pdf]
• E. Carson and I. Daužickaitė, Single-pass Nyström approximation in mixed precision, arXiv:2205.13355, May 2022. [pdf]
• S. Thomas, E. Carson, M. Rozložník, A. Carr, and K. Świrydowicz, Post-Modern GMRES, arXiv:2205.07805, May 2022. [pdf]
• E. Carson and N. Khan, Mixed Precision Iterative Refinement with Sparse Approximate Inverse Preconditioning, arXiv:2202.10204, February 2022. [pdf]
• E. Oktay and E. Carson, Mixed Precision GMRES-based Iterative Refinement with Recycling, arXiv:2201.09827, January 2022. [pdf]
• E. Oktay and E. Carson, Multistage Mixed Precision Iterative Refinement, arXiv:2107.06200, July 2021. [pdf]
• E. Carson and T. Gergelits, Mixed Precision s-step Lanczos and Conjugate Gradient Algorithms, arXiv:2103.09210, March 2021. [pdf]
• E. Carson, K. Lund, and M. Rozložník, The stability of block variants of classical Gram-Schmidt, Institute of Mathematics, Czech Academy of Sciences, preprint no. 6-2021. [pdf]
• E. Carson, K. Lund, M. Rozložník, and S. Thomas, An Overview of Block Gram-Schmidt Methods and their Stability Properties, arXiv:2010.12058, October 2020. [pdf]
• E. C. Carson. An Adaptive s-step Conjugate Gradient Algorithm with Dynamic Basis Updating. arXiv:1908.04081, August 2019. [pdf]
• E. Carson, J. Demmel, L. Grigori, N. Knight, P. Koanantakool, O. Schwartz, and H.V. Simhadri. Write-Avoiding Algorithms. Technical Report UCB/EECS-2015-163, U.C. Berkeley, June 2015. [pdf]
• E. Carson. Avoiding Communication in the Lanczos Bidiagonalization Routine and Associated Lease Squares QR Solver. Technical Report UCB/EECS-2015-15, U.C. Berkeley, April 2015. [pdf]
• E. Carson and J. Demmel. Accuracy of the s-Step Lanczos Method for the Symmetric Eigenproblem. Technical Report UCB/EECS-2014-165, U.C. Berkeley, September 2014. [pdf]
• E. Carson and J. Demmel. Error Analysis of the s-Step Lanczos Method in Finite Precision. Technical Report UCB/EECS-2014-55, U.C. Berkeley, May 2014. [pdf]
• E. Carson and J. Demmel. Analysis of the Finite Precision s-step Biconjugate Gradient Method. Technical Report UCB/EECS-2014-18, EECS Dept., U.C. Berkeley, March 2014. [pdf]
• E. Solomonik, E. Carson, N. Knight, and J. Demmel. Tradeoffs between Synchronization, Communication, and Work in Parallel Linear Algebra Computations. Technical Report UCB/EECS-2014-8, EECS Dept., U.C. Berkeley, January 2014. [pdf]
• E. Carson and J. Demmel. A Residual Replacement Strategy for Improving the Maximum Attainable Accuracy of s-step Krylov Subspace Methods. Technical Report UCB/EECS-2012-197, EECS Dept., U.C. Berkeley, September 2012. [pdf]
• E. Carson, N. Knight, and J. Demmel. Avoiding Communication in Two-sided Krylov Subspace Methods. Technical Report UCB/EECS-2011-93, EECS Dept., U.C. Berkeley, August 2011. [pdf]

Talks and Extended Abstracts

• "Balancing Inexactness in Large-Scale Matrix Computations", Nordic Numerical Linear Algebra Meeting, Odense, Denmark, June 17, 2024. [pdf]
• "Balancing Inexactness in Matrix Computations", 25th Conference of the International Linear Algebra Society (ILAS), Madrid, Spain, June 15, 2023. [pdf]
• "Mixed Precision Randomized Nyström Approximation", 25th Conference of the International Linear Algebra Society (ILAS), Madrid, Spain, June 14, 2023. [pdf]
• "Balancing Inexactness in Matrix Computations", Computational Mathematics and Applications Seminar, Mathematical Institute, University of Oxford, May 25, 2023. [pdf]
• "Using Mixed Precision in Numerical Linear Algebra", Faculty of Nuclear Sciences and Physical Engineering, Czech Technical University, CZ, March 27, 2023. [pdf]
• "Mixed Precision Randomized Preconditioners", SIAM Conference on Computational Science and Engineering (CSE23), Amsterdam, NL, March 2, 2023. [pdf]
• "70 Years of Krylov Subspace Methods", Mathematics Seminar, Trinity College Dublin, January 25, 2023. [pdf]
• "Improving the Numerical Behavior of Communication-Avoiding Krylov Subspace Methods", Faculty of Computer Science Seminar, University of Vienna, September 1, 2022. [pdf]
• "Recent Progress in Mixed Precision Numerical Linear Algebra", Advances in Numerical Linear Algebra: Celebrating the 60th Birthday of Nick Higham, Manchester, UK, July 6-8, 2022. [pdf][video]
• "Mixed Precision Iterative Refinement", XXI Householder Symposium on Numerical Linear Algebra, Selva di Fasano, IT, June 12-17, 2022. [pdf]
• "Opportunities for Mixed Precision in Preconditioned Iterative Methods", International Conference on Preconditioning Techniques for Scientific and Industrial Applications (Preconditioning 2022), Chemnitz, DE, June 8-10, 2022. [pdf]
• "Challenges and Opportunities in Mixed Precision Numerical Linear Algebra", Innovative Computing Laboratory Lunch Seminar, University of Tennesee, USA, May 13, 2022. [pdf]
• "Exploiting Mixed Precision in Numerical Linear Algebra", 47th Annual University of Arkansas Spring Lecture Series: Numerical Linear Algebra: from Scientific Computing to Data Science Applications, University of Arkansas, USA, May 4, 2022. [pdf]
• "The Hazards and Challenges of Low Precision Computation", SIAM Parallel Processing (PP22), online, February 24, 2022. [pdf]
• "High Performance Mixed Precision Numerical Linear Algebra", Numerical Methods and High Performance Computing for Industrial Applications (SimRace), IFP Energies Nouvelles, France, December 3, 2021. [pdf]
• "Exploiting Mixed Precision in Numerical Linear Algebra", MATHICSE Seminar Series, EPFL, Switzerland, November 2, 2021. [pdf]
• "Exploiting Mixed Precision in Numerical Linear Algebra", Center for Control, Dynamical Systems, and Computation (CCDC) Seminar Series, U.C. Santa Barbara, online, October 29, 2021. [pdf]
• "When Floating-Point Error Matters: the Hazards and Challenges of Low-Precision Computation", SIAM Annual Meeting, online, July 22, 2021. [pdf]
• "Mixed Precision s-step Lanczos and Conjugate Gradient Algorithms", Platform for Advanced Scientific Computing (PASC21), online, July 7, 2021. [pdf]
• Invited Talk: "The Cost of Iterative Computations at Scale", Irish Numerical Analysis Forum, Dublin, Ireland (online), July 1, 2021. [pdf]
• "The Numerical Stability of Block Classical Gram-Schmidt Variants", SIAM Conference on Applied Linear Algebra, online, May 18, 2021. [pdf]
• Invited Talk: "What do we know about block Gram-Schmidt?", E-NLA Seminar, online, February 24, 2021. [pdf][YouTube video]
• Invited Talk: "High Performance Mixed Precision Numerical Linear Algebra", Cornell Scientific Computing and Numerics (SCAN) Seminar, online, November 9, 2020. [pdf]
• Invited Talk: "High Performance Mixed Precision Numerical Linear Algebra", KU Leuven Numerical Mathematics (NUMA) Seminar, online, October 29, 2020. [pdf]
• Invited Keynote: "Accelerating the Solution of Linear Systems via Multiprecision Arithmetic", Advanced Solvers for Modern Architectures, 7th Applied Mathematics Symposium Muenster, Muenster, DE, November 11-13, 2019. [pdf]
• Invited Keynote: "Iterative Refinement in Three Precisions", Third Workshop on Power-Aware Computing (PACO19), Max Planck Institute for Dynamics of Complex Technical Systems, Magdeburg, Germany, November 5, 2019. [pdf]
• "Iterative Refinement in Three Precisions", Parallel Solution Methods for Systems Arising from PDEs, Centre International De Rencontres Mathématiques (CIRM), Luminy, France, September 16, 2019. [pdf]
• "The Rise of Multiprecision Computation", Department of Numerical Mathematics Seminar, Charles University, August 20, 2019. [pdf]
• "On the Amplification of Rounding Errors", Advances in Numerical Linear Algebra: Celebrating the Centenary of the Birth of James H. Wilkinson, Manchester, UK, May 29, 2019. [pdf][YouTube video]
• "The Cost of Iterative Computations", High-Performance Computing in Science and Engineering (HPCSE19), Soláň, Czech Republic, May 20, 2019. [pdf]
• "Iterative Linear Algebra in the Exascale Era", Numerical Algorithms for High-Performance Computational Science, The Royal Society, London, UK, April 9, 2019. [pdf][Audio Recording]
• "The s-step Conjugate Gradient Method in Finite Precision", SIAM CSE '19, Spokane, Washington, USA. [pdf]
• "High-Performance Variants of Krylov Subspace Methods", SNA Winter School 2019, Ostrava, Czech Republic. [Part 1 pdf][Part 2 pdf]
• "Exploiting Multiprecision Hardware in Solving Linear Systems and Least Squares Problems", Seminar of Current Problems in Numerical Analysis, Institute of Mathematics, Czech Academy of Sciences, December 14, 2018. [pdf]
• "Sparse Matrix Computations in the Exascale Era", Seminar of Numerical Mathematics, Department of Numerical Mathematics, Faculty of Mathematics and Physics, Charles University, November 15, 2018. [pdf]
• "Error Bounds for Iterative Refinement in Three Precisions", SIAM AN '18, Portland, Oregon, USA, July 13, 2018. [pdf]
• "High Performance Variants of Krylov Subspace Methods", SIAM PP '18, Tokyo, Japan, March 8, 2018. [pdf]
• "Preconditioned GMRES-based Iterative Refinement for the Solution of Sparse, Ill-Conditioned Linear Systems", International Conference on Preconditioning Techniques for Scientific and Industrial Applications (Preconditioning '17), Vancouver, Canada, August 2, 2017. [pdf]
• "Communication-Avoiding Algorithms: Challenges and New Results", SIAM Annual Meeting 2017, Pittsburgh, Pennsylvania, July 13, 2017. [pptx][Audio Recording]
• "The Behavior of Synchronization-Reducing Variants of the Conjugate Gradient Method in Finite Precision", Householder Symposium XX, Blacksburg, Virginia, June 19, 2017. [pdf]
• Plenary Lecture: "High-Performance Krylov Subspace Method Variants and their Behavior in Finite Precision", High Performance Computing in Science and Engineering (HPCSE17), Soláň, Czech Republic, May 24, 2017. [pdf]
• "Performance and Stability Tradeoffs in Large-Scale Krylov Subspace Methods", Applied Mathematics and Scientific Computing Seminar, Temple University, November 16, 2016. [pdf]
• "Communication-Avoiding Krylov Subspace Methods in Theory and Practice", SIAM PP '16, Paris, France, April 12, 2016. [pdf]
• "The s-Step Lanczos Method and its Behavior in Finite Precision", SIAM LA '15, Atlanta, GA, October 30, 2015. [pdf]
• "Communication-Avoiding Krylov Subspace Methods in Theory and Practice", Development of Modern Methods in Linear Algebra Workshop (DMML), Berkeley, CA, October 23, 2015. [pdf]
• "Efficient Deflation-Based Preconditioning for the Communication-Avoiding Conjugate Gradient Method", SIAM Conference on Computational Science and Engineering, Salt Lake City, Utah, March 14-18, 2015. [ppt]
• "Communication-Avoiding Krylov Subspace Methods in Finite Precision", Linear Algebra and Optimization Seminar, ICME, Stanford University, December 4, 2014. [pptx]
• "Avoiding Communication in Bottom Solvers for Geometric Multigrid Methods", 8th International Workshop on Parallel Matrix Algorithms and Applications, Lugano, Switzerland, July 2-4, 2014. [pdf]
• "Improving the Maximum Attainable Accuracy of Communication-Avoiding Krylov Subspace Methods", Householder Symposium XIX, Spa, Belgium, June 8-13, 2014. [pptx]
• S. Williams, E. Carson, N. Knight, M. Lijewski, A. Almgren, B. van Straalen and J. Demmel. "Avoiding synchronization in geometric multigrid". SIAM Parallel Processing for Scientific Computing, Portland, Oregon, February 18-21, 2014. [abstract][pptx]
• "Communication-Avoiding Krylov Subspace Methods in Finite Precision", Bay Area Scientific Computing Day, December 11, 2013. [abstract][pptx]
• E. Carson and J. Demmel. "Efficient Deflation for Communication-Avoiding Krylov Methods" (extended abstract). Numerical Analysis and Scientific Computation with Applications, Calais, France, June 24-26, 2013. [pdf]
• E. Carson, N. Knight, and J. Demmel. "Improving the Stability of Communication-Avoiding Krylov Subspace Methods", SIAM Conference on Applied Linear Algebra, Valencia, Spain, June 18-22, 2012.
• E. Carson, N. Knight, and J. Demmel. "Exploiting Low-Rank Structure in Computing Matrix Powers with Applications to Preconditioning", SIAM Conference on Parallel Processing for Scientific Computing, Savannah, Georgia, February 15-17, 2012 [ pdf | pptx ]
• E. Carson and J. Demmel. "A Residual Replacement Strategy for Improving the Maximum Attainable Accuracy of Communication-Avoiding Krylov Subspace Methods", 9th International Workshop on Accurate Solution of Eigenvalue Problems, Napa Valley, CA, June 4-7, 2012.
• E. Carson, N. Knight, and J. Demmel. "Hypergraph partitioning for Computing Matrix Powers" (extended abstract), Fifth SIAM Workshop on Comb. Sci. Comput., pages 31-33, Darmstadt, Germany, May 2011. [pdf]
• "Recent Progress in Communication-Avoiding Krylov Subspace Methods", Bay Area Scientific Computing Day, Palo Alto, California, May 11, 2011.
• "Recent Work in Communication-Avoiding Krylov Subspace Methods for Solving Linear Systems", Matrix Computations Seminar, Berkeley, California, October 27, 2010.

Current Students

• Petr Vacek, Ph.D. student
• Ioannis Thanasis, Ph.D. student
• Thomas Bake Arenas, Ph.D. student

Current Postdocs

• Ieva Daužickaitė
• Yuxin Ma
• Xinye Chen
• Liam Burke

Former Students

• Eda Oktay, Ph.D. 2024 (now at MPI Magdeburg)
• Jakub Hercík, Masters 2024
• Josef Martínek, Master 2023 (now at Heidelberg University)

Former Postdocs

• Kathryn Lund (now at STFC UKRI)
• Thomas Gergelits

Charles University

• NMNV565: High Performance Computing for Computational Science, Winter 24/25. Instructor.
• NMNV468: Numerical Linear Algebra for Data Science and Informatics, Summer 23/24. Instructor
• NMNV565: High Performance Computing for Computational Science, Winter 23/24. Instructor.
• NMNV468: Numerical Linear Algebra for Data Science and Informatics, Summer 22/23. Instructor
• NMNV565: High Performance Computing for Computational Science, Winter 22/23. Instructor.
• NMNV468: Numerical Linear Algebra for Data Science and Informatics, Summer 21/22. Instructor
• NMNV565: High Performance Computing for Computational Science, Winter 21/22. Instructor.
• NMNV565: High Performance Computing for Computational Science, Winter 20/21. Instructor.
• NMNV468: Numerical Linear Algebra for Data Science and Informatics, Summer 19/20. Instructor
• NMNV565: High Performance Computing for Computational Science, Winter 19/20. Instructor.

New York University

• DS-GA 1004: Big Data, Spring 2018. Instructor.
• MATH-UA 140: Linear Algebra, Fall 2017. Instructor.
• DS-GA 1004: Big Data, Spring 2017. Instructor.
• MATH-UA 120: Discrete Mathematics, Fall 2016. Instructor.
• DS-GA 1004: Big Data, Spring 2016. Instructor.
• MATH-UA 120: Discrete Mathematics, Fall 2015. Instructor.

U.C. Berkeley

• CS 70: Discrete Mathematics and Probability Theory, Fall 2014. Instructor: Anant Sahai.
• Math 54: Linear Algebra and Differential Equations, Spring 2011. Instructor: Constantin Teleman.

University of Virginia

• CS 202: Discrete Mathematics, Spring 2009. Instructor: Paul F. Reynolds, Jr.
• CS 202: Discrete Mathematics, Fall 2008. Instructor: John C. Knight.
• CS 101: Introduction to CS, Fall 2008. Instructor: Tom Horton.
• CS 101: Introduction to CS, Spring 2008 and Fall 2007. Instructor: Kevin Sullivan and Greg Humphreys.
• CS 101x: Introduction to CS (for non-engineers), Fall 2007. Instructor: Jim Cohoon.

Benchmarks

• Collaborator on the HPL-MxP Benchmark [Current Results]

Math Poetry

• [The Lore Ax=b], Dedicated to Jim Demmel on the occasion of his 60th birthday.

Past Projects

• G. Ballard, E. Carson, and N. Knight, Algorithmic-based Fault Tolerance for Matrix Multiplication on Amazon EC2, 2009. [pdf]
• E. Carson, The Quantification and Management of Uncertainty in Smallpox Intervention Models, Undergraduate Thesis, University of Virginia, 2009. [pdf]
• J. Carnahan, S. Policastro, E. Carson, P. Reynolds Jr., and R. Kelly, Using Flexible Points in a Developing Simulation of Selective Dissolution in Alloys, in Proceedings of the 39th Winter simulation conference, IEEE Press, 2007, pp. 891-899. [ACM-DL]