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Research

My research interests are in arithmetic geometry and algebraic number theory. Currently, I’m thinking about K3 Surfaces and Brauer Groups.

Here is some of the fun research I did in undergrad that we got around to writing up:

  • Moduli dimensions of lattice polygons (with M. Echavarria, M. Everett, L. Jacoby, R. Morrison, A. Tewari, R. Vlad and B. Weber.) Journal of Algebraic Combinatorics 55, 559–589 (2022). arXiv:2010.13135

  • On the scramble number of graphs (with M. Echavarria, M. Everett, L. Jacoby, R. Morrison, and B. Weber.) Discrete Applied Mathematics 310 43-59 (2022). arXiv:2103.15253

  • Resistance scaling on 4N-carpets (with C. Canner, C. Hayes, M. Orwin, and L. Rogers.) Forum Mathematicum vol. 34, no. 1, 2022, pp. 61-75. arXiv:2011.10662