Alex Cowan

Email: cowan@math.harvard.edu

About

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.

Courses

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.