- Doubly isogenous curves of genus two with a rational action of D6, with Everett W. Howe, Andrew V. Sutherland, and José Felipe Voloch, preprint. [arxiv][code]
- Lifting G-Valued Galois Representations when l ≠ p, with Sean Cotner and Shiang Tang, preprint. [arxiv]
- Failing to hash into supersingular isogeny graphs, with Ross Bowden, Javad Doliskani, Tako Boris Fouotsa, Steven D. Galbraith, Sabrina Kunzweiler, Simon-Philipp Merz, Christophe Petit, Benjamin Smith, Katherine E. Stange, Yan Bo Ti, Christelle Vincent, José Felipe Voloch, Charlotte Weitkämper, and Lukas Zobernig, The Computer Journal, 2024;, bxae038 [arXiv] [journal] [CFAIL conference]
- Iwasawa Theory for p-torsion Class Group Schemes in Characteristic p, with Bryden Cais, Nagoya Mathematical Journal , Volume 250 , June 2023 , pp. 298 – 351. [arXiv] [journal] [Magma code]
- Doubly isogenous genus-2 curves with D4-action, with Vishal Arul, Steven R. Groen, Everett W. Howe, Wanlin Li, Vlad Matei, Rachel Pries, and Caleb Springer, Math. Comp. 93 (2024), 347-381. [arXiv] [journal][Magma Code]
- Recovering affine curves over finite fields from L-functions, with José Felipe Voloch, Pacific Journal of Mathematics 314-1 (2021), 1–28. [arXiv] [journal]
- G-Valued Crystalline Deformation Rings in the Fontaine-Laffaille Range, with Brandon Levin, Compositio Mathematica, Volume 159, Issue 8, August 2023, pp. 1791 – 1832. [arXiv] [journal]
- Tamely Ramified Covers of the Projective Line with Alternating and Symmetric Monodromy, with Renee Bell, William Chen, and Yuan Liu, Algebra & Number Theory,
Vol. 16 (2022), No. 2, 393–446. [arXiv] [journal]
- Recovering Algebraic Curves from L-functions of Hilbert Class Fields, with José Felipe Voloch, Research in Number Theory 6, 43 (2020). [arXiv] [journal]
- Realizing Artin-Schreier Covers of Curves with Minimal Newton Polygons
in Positive Characteristic, with Rachel Pries, Journal of Number Theory, Volume 214, (2020) pages 240-250. [arXiv], [journal]
- Realizing Artin-Schreier Covers with Minimal a-numbers in Positive
Characteristic, with Fiona Abney-McPeek, Hugo Berg, Sun Mee Choi,
Viktor Fukala, Miroslav Marinov, Theo Müller, Paweł
Narkiewicz, Rachel Pries, Nancy Xu, and Andrew Yuan, Involve, a Journal of Mathematics 15-4 (2022), 559–590. [arXiv] [journal]
This incorporates student projects from PROMYS 2019.
- a-Numbers in Artin-Schreier Covers, with Bryden Cais, Algebra & Number Theory, Vol. 14 (2020), No. 3, 593–653. [arXiv] [journal] (MAGMA computations)
- G-Valued Galois Deformation Rings when l ≠ p, with Stefan Patrikis,
Mathematical Research Letters, Vol. 26, No. 4 (2019), pp. 973-990. [arXiv], [journal]
- Minimally Ramified Deformations when l ≠ p. Compositio Mathematica, Volume 155 / Issue 1 (2019) pages 1-37. [arXiv], [journal]
- Producing Geometric Deformations of Orthogonal and Symplectic Galois Representations. Journal of Number Theory, Volume 195, (2019) pages 115-158.
[arXiv] [journal]
- Geometric Deformations of Orthogonal and Symplectic Galois Representations is the paper version of my thesis. It has been broken up into the two papers above for publication.
- Evaluation of Cubic Twisted Kloosterman Sheaf Sums, with Anastassia Etropolski and Amanda Hittson. International Journal of Number Theory, 6 (2010), pages 1349-1365. [pdf] [journal]