Alex Cowan



I'm a research scientist working with the Simons Collaboration on Arithmetic Geometry, Number Theory, and Computation at Harvard. The main person I work under is Noam Elkies. I did my PhD with Dorian Goldfeld. I'm interested in analytic number theory, computational number theory, and arithmetic statistics.

Here is my CV.


Papers and preprints

  1. Generic models for genus 2 curves with real multiplication, with Frengley and Martin [arXiv].
  2. Murmurations and explicit formulas. [arXiv].
  3. A twisted additive divisor problem. [arXiv].
  4. Paired comparisons for games of chance. [arXiv].
  5. Counting modular forms by rationality field, with Martin [arXiv].
  6. Moduli for rational genus 2 curves with real multiplication for discriminant 5, with Martin [arXiv].
  7. Computing modular forms using supersingular isogeny graphs. [arXiv] Data and code Research in Number Theory 2022.
  8. Non-random behaviour in sums of modular symbols. [arXiv] International Journal of Number Theory 2022.
  9. Conjecture: 100% of elliptic surfaces over Q have rank zero. [arXiv] Arithmetic Geometry, Number Theory, and Computation 2021.
  10. The distribution of multiples of real points on an elliptic curve. [arXiv] Journal of Number theory 2020.
  11. Constants in Titchmarsh divisor problems for elliptic curves, with Bell, Blakestad, Cojocaru, Jones, Matei, Smith, and Vogt [arXiv] Research in Number theory 2020.

This page was last updated 2024/04/15.