Zachary Porat
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Research
My research interests lie in number theory and arithmetic geometry. I particularly enjoy the interplay between theory and computation. My work centers around developing theoretical insights and using these insights to improve computational algorithms.
Currently, I am studying automorphic forms for congruence subgroups of SL(3, Z). I am also interested in arithmetic statistics, especially in relation to algebraic curves and abelian varieties.
Here are various research-related links: GitHub, Google Scholar, ORCID, arXiv.
For additional details, please see my CV: PDF
Papers
(Note that preprints may differ from the final published version.)
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Computations Directly on the Cuspidal Cohomology of Congruence Subgroups of SL(3, Z), Mathematics of Computation (2025).
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Family Sizes for Complete Multipartite Graphs (with Danielle Gregg, Thomas Mattman, and George Todd), Involve, a Journal of Mathematics 15:4 (2022), 669-686.
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PIXE Analysis of Synthetic Turf (with Sajju Chalise, Morgan Clark, Skye Conlan, Scott LaBrake, and Michael Vineyard), Environment and Ecology Research 6:1 (2018), 60-65.
Recent and Upcoming Talks
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Computations on the Cohomology of Iwahori Congruence Subgroups of SL(3, Z) - October 25, 2025
- AMS Fall Eastern Sectional Meeting (Virtual)
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Computations on the Cohomology of Iwahori Subgroups of SL(3, Z) - October 4, 2025
- AMS Fall Southeastern Sectional Meeting (Tulane University)
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Computing the Hecke Action Directly on the Cuspidal Cohomology of Congruence Subgroups of SL(3, Z) - July 4, 2025
- 33èmes Journées Arithmétiques (University of Luxembourg)
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Heuristics for (Ir)reducibility of Strata of the Moduli Space of Hyperelliptic Curves - May 16, 2025
- AWM Research Symposium: Special Session on Curves and Abelian Varieties in Characteristic p (University of Wisconsin-Madison)
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Advances in Computations on the Cohomology of Congruence Subgroups of SL(3, Z) - May 4, 2025
- 37th Automorphic Forms Workshop (University of North Texas)
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The Evolving Role of Computers in Mathematics - April 19, 2025
- AMS New England Graduate Student Conference (Brown University)
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Computations Directly on the Cuspidal Cohomology of Congruence Subgroups of SL(3, Z) - October 6, 2024
- Conférence de Théorie des Nombres Québec-Maine (Université Laval)
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Additional Computations of the Hecke Action on the Cuspidal Cohomology of Congruence Subgroups of SL(3, Z) - May 24, 2024
- 36th Automorphic Forms Workshop (Oklahoma State University)