photo of Stephanie Chan

Stephanie Chan

Department of Mathematics, University College London, Gower Street, London, WC1E 6BT, United Kingdom
Email: stephanie.chan[at]ucl.ac.uk

I am a lecturer in mathematics at UCL.

My research area is number theory, in particular arithmetic statistics.

Previous affiliations

I was
a postdoc in the Browning Group at the Institute of Science and Technology Austria (June 2023 to August 2025);
a postdoctoral fellow in the Diophantine Geometry program at SLMath (MSRI) (January to May 2023);
a postdoctoral assistant professor at the University of Michigan (August 2020 and December 2022).
I completed my PhD at UCL in August 2020 under the supervision of Andrew Granville.

My research profiles: [arXiv] [ORCID] [Google Scholar]

Publications and preprints

  1. Selmer groups of families of elliptic curves with an ℓ-isogeny (with Matteo Verzobio), submitted. [arXiv:2508.21406]
  2. A new pointwise bound for 3-torsion of class groups (with Peter Koymans), submitted. [arXiv:2505.00611]
  3. Serre's problem for multiple conics (with Peter Koymans, Nick Rome), submitted. [arXiv:2504.21792]
  4. Number fields generated by points in linear systems on curves (with Irmak Balçik, Yuan Liu, Bianca Viray), submitted. [arXiv:2503.07846]
  5. Solubility of a resultant equation and applications (with Tim Browning), submitted. [arXiv:2411.09264]
  6. Almost all elliptic curves with prescribed torsion have Szpiro ratio close to the expected value, submitted. [arXiv:2407.13850]
  7. 6-torsion and integral points on quartic threefolds (with Peter Koymans, Carlo Pagano, Efthymios Sofos), Ann. Sc. Norm. Super. Pisa Cl. Sci. (5), to appear. [arXiv:2403.13359]
  8. Averages of multiplicative functions along equidistributed sequences (with Peter Koymans, Carlo Pagano, Efthymios Sofos), J. Number Theory 273 (2025), 1–36. [arXiv:2402.08710]
  9. Almost all quadratic twists of an elliptic curve have no integral points (with Tim Browning), J. Eur. Math. Soc. (JEMS), to appear. [arXiv:2401.04375]
  10. The 3-isogeny Selmer groups of the elliptic curves y²=x³+n², Int. Math. Res. Not. IMRN (2024), no. 9, 7571–7593. [arXiv:2211.06062]
  11. Integral points on cubic twists of Mordell curves, Math. Ann. 388 (2024), 2275–2288. [arXiv:2203.11366]
  12. The average number of integral points on the congruent number curves, Adv. Math. 457 (2024), Paper No. 109946. [arXiv:2112.01615]
  13. A density of ramified primes (with Christine McMeekin, Djordjo Milovic), Res. Number Theory 8 (2022), no. 1, Paper No. 1. [arXiv:2005.10188]
  14. Integral points on the congruent number curve, Trans. Amer. Math. Soc. 375 (2022), no. 9, 6675–6700. [arXiv:2004.03331]
  15. The 8-rank of the narrow class group and the negative Pell equation (with Peter Koymans, Djordjo Milovic, Carlo Pagano), Forum Math. Sigma 10 (2022), Paper No. e46. [arXiv:1908.01752]
  16. Kuroda's formula and arithmetic statistics (with Djordjo Milovic), Math. Z. 300 (2022), no. 2, 1509–1527. [arXiv:1905.09745]
  17. Ranks, 2-Selmer groups, and Tamagawa numbers of elliptic curves with ℤ/2ℤ×ℤ/8ℤ-torsion (with Jeroen Hanselman, Wanlin Li), Proceedings of the Thirteenth Algorithmic Number Theory Symposium, 173–189, Open Book Ser., 2, Math. Sci. Publ., Berkeley, CA, 2019. [arXiv:1805.10709]
  18. Rational right triangles of a given area, Amer. Math. Monthly 125 (2018), no. 8, 689–703. [arXiv:1706.05919]