Alex Cowan

Email: alex.cowan@uwaterloo.ca

About

I'm a postdoc working with Michael Rubinstein and Jerry Wang. I'm interested in analytic number theory, computational number theory, and arithmetic statistics.

Previously, I was a research scientist at Harvard, working with Noam Elkies and the Simons Collaboration on Arithmetic Geometry, Number Theory, and Computation. I did my PhD with Dorian Goldfeld.

Here is my CV.

Courses

• Differential equations for engineers, Waterloo, fall 2024
• Topics in analytic number theory: Automorphic forms and arithmetic statistics, Harvard, fall 2023
• Calculus 1, Columbia, winter 2019

Papers and preprints

1. Murmurations and ratios conjectures. [arXiv] Slides Video
2. Conductor distributions of elliptic curves. [arXiv] Slides Video (passcode: #^35#N3Lrq)
3. Generic models for genus 2 curves with real multiplication, with Frengley and Martin [arXiv]
4. Murmurations and explicit formulas. [arXiv]
5. A twisted additive divisor problem. [arXiv] Journal of Number theory 2025
6. Paired comparisons for games of chance. [arXiv]
7. Counting modular forms by rationality field, with Martin [arXiv]
8. Moduli for rational genus 2 curves with real multiplication for discriminant 5, with Martin [arXiv] Journal de Théorie des Nombres de Bordeaux 2024
9. Computing modular forms using supersingular isogeny graphs. Data and code [arXiv] Research in Number Theory 2022
10. Non-random behaviour in sums of modular symbols. [arXiv] International Journal of Number Theory 2022
11. Conjecture: 100% of elliptic surfaces over Q have rank zero. [arXiv] Arithmetic Geometry, Number Theory, and Computation 2021
12. The distribution of multiples of real points on an elliptic curve. [arXiv] Journal of Number theory 2020
13. 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 2024/12/18.