My research lies in arithmetic geometry and number theory, using tools and techniques from algebraic K-theory, Galois cohomology, and computational number theory. Attention is paid to making results explicitly computable, and the main results of my work are implemented in Sage. My thesis work concerns local-to-global principles for algebraic cycles, and I have separate projects related to supersingular elliptic curve-based cryptography.
On the local-to-global principle for zero-cycles on self products of elliptic curves with CM. Submitted (33 pages) arXiv
The SEA algorithm for endomorphisms of supersingular elliptic curves. Joint with Travis Morrison, Lorenz Panny, and Jana Sotáková. Submitted (16 pages) arXiv
Triples of Rational Points on the Hermitian Curve and their Weierstrass Semigroups. 2021. Joint with Gretchen Matthews and Dane Skabelund. Published in Journal of Pure and Applied Algebra 225, no. 8. (22 pages) arXiv
Computing the trace of an endomorphism of a supersingular elliptic curve. 2021. Advised by Gretchen Matthews and Travis Morrison (35 pages) Link