Degrees:
Ph.D., Dartmouth College
M.A., Dartmouth College
B.S., Trevecca Nazarene Univ.
Professor Dylan Green received his B.S. in 2019 from Trevecca Nazarene University with a double major in mathematics and physics. He received his Ph.D. in mathematics from Dartmouth College in 2024, where he was advised by Professor Anne Gelb. His doctoral work focused on computing solutions to computational and statistical inverse problems, with a particular focus in Bayesian inference methods. His recent research has focused on developing statistical techniques for 2D and 3D synthetic aperture radar.
Professor Green believes that the ideal classroom is one where students learn both from the instructor and from each other, and where students are comfortable asking questions and engaging with the material they are learning. He is a strong supporter of involving students in active research and enjoys mentoring students as they explore the mathematics that is interesting and exciting to them.
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Probability and Statistics
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Scientific Computing
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Linear Algebra
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Differential Equations
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Numerical Analysis
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Inverse Problems
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Synthetic Aperture Radar
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Uncertainty Quantification
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Publications:
- Green, D., Jamora, J. R., & Gelb, A. (2023). Leveraging joint sparsity in 3D synthetic aperture radar imaging. Applied Mathematics for Modern Challenges, 1(1), 61-86.
- Dayton, S., Milledge, O., Nikitovic, J., Gelb, A., Green, D., & Viswanathan, A. (2024, June). Leveraging structural information for enhanced coherent change detection. In Algorithms for Synthetic Aperture Radar Imagery XXXI (Vol. 13032, pp. 103-112). SPIE.
- Green, D., Gelb, A., & Luke, G. P. (2021). Sparsity-Based Recovery of Three-Dimensional Photoacoustic Images from Compressed Single-Shot Optical Detection. Journal of Imaging, 7(10), 201.
- Jamora, J. R., Green, D., Talley, A., & Curry, T. (2023, June). Utilizing SAR imagery in three-dimensional neural radiance fields-based applications. In Algorithms for Synthetic Aperture Radar Imagery XXX (Vol. 12520, p. 1252002). SPIE.
- Green, D., Gelb, A., Luke, G. P. (2021). Compressed Single-Shot Photoacoustic Image Reconstruction of a 3D Pressure Distribution. Computational Optical Sensing and Imaging. (pp. CM2E-5). Optical Society of America.
Presentations:
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SIAM IS24 Leveraging Joint Sparsity Using Bayesian Methods in 3D SAR Imaging. Green and Gelb (May 2024).
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SIAM CSE23 Hierarchical Bayesian 3D Synthetic Aperture Radar Reconstruction Using Joint Sparsity. Green, Gelb, and Jamora (February 2023).
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AFOSR Electromagnetics Annual Portfolio Review Advances in Bayesian Inference techniques for SAR Image Recovery. Green, Gelb, Lindbloom, and Jamora (January 2023).
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SIAM UQ22 SAR Image Formation Using Empirical Bayesian Inference With Joint Sparsity. Green, Gelb, and Scarnati (April 2022).
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SIAM IS22 Empirical Bayesian Inference Using Joint Sparsity for SAR Image Formation. Green, Gelb, and Scarnati (March 2022).
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- Guarini Graduate Teaching Award, awarded by the Guarini School of Graduate and Advanced Studies at Dartmouth College, 2024
- Kenneth P. Bogart Teaching Award, awarded by the Mathematics Department at Dartmouth College, 2023
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