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Zachary Porat

Visiting Assistant Professor
Bucknell University

z.porat@bucknell.edu


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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, zbMATH, arXiv.

For additional details, please see my CV:   PDF

Papers

(Note that preprints may differ from the final published version.)

  1. On the Cuspidal Cohomology of Iwahori Congruence Subgroups of SL(3, Z), submitted (2026).
     
      arXiv   Code
  2. Distinguishing Elliptic Curves Modulo p and Identifying Images of Product Representations (with Jessica Bennett, Jeffrey Hatley, Sasha Kononova, Vincent Macri, and Naina Praveen), submitted (2026).
     
      arXiv   Code
  3. Heuristics for (Ir)reducibility of p-Rank Strata of the Moduli Space of Hyperelliptic Curves (with Thomas Bouchet, Erik Davis, Steven Groen, and Benjamin York), Experimental Mathematics (2026).
     
      arXiv   Code
  4. Computations Directly on the Cuspidal Cohomology of Congruence Subgroups of SL(3, Z), Mathematics of Computation (2025).
     
      arXiv   Code
  5. Family Sizes for Complete Multipartite Graphs (with Danielle Gregg, Thomas Mattman, and George Todd), Involve, a Journal of Mathematics 15:4 (2022), 669-686.
     
      MathSciNet
  6. 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.
     

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