Grant Molnar

AI/ML Engineering Manager

"The first step to solving a problem is having a problem."
—Joshua Edgel

"It's easier to trade out your problems than to solve them."
—Jody Witt

Publications

  1. [2511.02106] [Link] A family of analogues to the Robin criterion (with Steve Fan and Mits Kobayashi), The Ramanujan Journal 70 (2026), article 40.
  2. [2409.17076] [Link] Spoof Lehmer Factorizations (with Guntas Singh), Integers 26, A33 (2026).
  3. [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.
  4. [2212.11354] [Link] Counting elliptic curves over the rationals with a 7-isogeny (with John Voight), Research in Number Theory 9, 75 (2023).
  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. [2012.14403] [Link] The arithmetic of modular grids (with Michael Griffin and Paul Jenkins), Mathematika 68, 1080–1119 (2022).
  7. [2006.10697] [Link] Odd, spoof perfect factorizations (with the BYU Computational Number Theory Group), Journal of Number Theory 234, 31–47 (2022).
  8. [1709.10023] [Link] Zagier duality for level p weakly holomorphic modular forms (with Paul Jenkins), The Ramanujan Journal 50, 93–109 (2019).
  9. [1505.00085] [Link] Graphs with the strong Havel-Hakimi property (with Michael Barrus), Graphs and Combinatorics 32, 1689–1697 (2016).

Current Preprints

  • [2610.12816] Reciprocal LCM powers and Robin's criterion, preprint.
  • [2609.26419] Reliability Theory for AI Control, preprint.
  • [2608.12401] The Tropical Algebra of Binary-Tree Height, preprint.
  • [2608.05189] The Gregory function and its completed Gregory transform, preprint.
  • [2604.20633] [Code] A weighted angle distance on strings, preprint.
  • [2111.09938] Multiplicative summations into algebraically closed fields (with Robert Dawson), preprint.
  • [2105.04592] Telescopic, multiplicative, and rational extensions of summations (with Robert Dawson), preprint.

Theses

  • [Link] [2401.06815] 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).

Books

  • [Link] Puzzle and Proof: A Decade of Problems from the Utah Math Olympiad (with Samuel Dittmer, Hiram Golze, and Caleb Stanford), AK Peters/CRC Recreational Mathematics Series (2025).

Expository Notes

  • [2610.38995] Networks with Memory and Isospectral Reduction (2026). A dynamical interpretation of isospectral reduction through memory kernels, relating hidden graph symmetries to symmetries of observed evolution.
  • [2604.19074] Integral-Differential Calculus (2026). An exposition of the Newton–Leibniz calculus that begins with Riemann sums and derives the differential calculus after establishing the integral calculus.
  • [2603.29786] On the symmetry of evidential support (2026). Seven proofs and several interpretations of the symmetry between “$B$ is evidence for $A$” and “$A$ is evidence for $B$” in a $2\times2$ probability table.
  • [2102.12995] Fast-growing series are transcendental (with Robert Dawson), unpublished.
  • [Link] Minimalist practical numbers, unpublished.