Software Algorithm Developer

"There is nothing that cuts you down to size like coming to some strange and marvelous place where no one even stops to notice that you stare about you."
—Richard Adams


5. [2302.13909] [Link] Reactive means in the Iterated Prisoner's Dilemma (with Caroline Hammond and Feng Fu), Applied Mathematics and Computation 458, 128201 (2023).

4. [2012.14403] [Link] The arithmetic of modular grids (with Michael Griffin and Paul Jenkins), Mathematika 68, 1080-1119 (2022).

3. [2006.10697] [Link] Odd, spoof perfect factorizations (with the BYU Computational Number Theory Group), Journal of Number Theory 234 31-47 (2022).

2. [1709.10023] [Link] Zagier duality for level p weakly holomorphic modular forms (with Paul Jenkins), The Ramanujan Journal 50, 93–109 (2019).

1. [1505.00085] [Link] Graphs with the strong Havel-Hakimi property (with Michael Barrus), Graphs and Combinatorics 32, 1689–1697 (2016).


• [2301.10302] A database of basic numerical invariants of Hilbert modular surfaces (with Eran Assaf, Angelica Babei, Ben Breen, Edgar Costa, Juanita Duque-Rosero, Aleksander Horawa, Jean Kieffer, Avinash Kulkarni, Sam Schiavone, John Voight), preprint.

• [2212.11354] Counting elliptic curves over the rationals with a 7-isogeny (with John Voight), preprint.

• [2111.09938] Multiplicative summations into algebraically closed fields (with Robert Dawson), preprint.

• [2012.14403] Telescopic, multiplicative, and rational extensions of summations (with Robert Dawson), preprint.


• [Link] Counting elliptic curves with a cyclic $m$-isogeny over $\mathbb{Q}$, PhD Thesis in Mathematics from Dartmouth College (2023).

• [Link] The arithmetic of modular grids, Master's Thesis in Mathematics from Brigham Young University (2018).

Expository Notes

• [2102.12995] Fast-growing series are transcendental (with Robert Dawson), unpublished.