Grant Molnar

AI/ML Engineer

"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

Publications

  1. [1505.00085] [Link] Graphs with the strong Havel-Hakimi property (with Michael Barrus), Graphs and Combinatorics 32, 1689–1697 (2016).
  2. [1709.10023] [Link] Zagier duality for level p weakly holomorphic modular forms (with Paul Jenkins), The Ramanujan Journal 50, 93–109 (2019).
  3. [2006.10697] [Link] Odd, spoof perfect factorizations (with the BYU Computational Number Theory Group), Journal of Number Theory 234 31-47 (2022).
  4. [2012.14403] [Link] The arithmetic of modular grids (with Michael Griffin and Paul Jenkins), Mathematika 68, 1080-1119 (2022).
  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).
  6. [2212.11354] [Link] Counting elliptic curves over the rationals with a 7-isogeny (with John Voight), Research in Number Theory 9, 75 (2023).
  7. [2301.10302] [Link] 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), Contemp. Math., vol. 796, 2024, Amer. Math. Soc., Providence, RI, 285–312.

Preprints

  • [2105.04592] Telescopic, multiplicative, and rational extensions of summations (with Robert Dawson), preprint.
  • [2111.09938] Multiplicative summations into algebraically closed fields (with Robert Dawson), preprint.
  • [2409.17076] Positive spoof Lehmer factorizations (with Guntas Singh), preprint.

Theses

  • [Link] The arithmetic of modular grids, Master's Thesis in Mathematics from Brigham Young University (2018).
  • [Link] Counting elliptic curves with a cyclic $m$-isogeny over $\mathbb{Q}$, PhD Thesis in Mathematics from Dartmouth College (2023).

Expository Notes

  • [2102.12995] Fast-growing series are transcendental (with Robert Dawson), unpublished.
  • [Link] Minimalist practical numbers, unpublished.