Stephanie Chan
11 Publications
2025 | Epub ahead of print | Journal Article | IST-REx-ID: 19363 |

Chan, Stephanie, et al. “Averages of Multiplicative Functions along Equidistributed Sequences.” Journal of Number Theory, vol. 273, Elsevier, 2025, pp. 1–36, doi:10.1016/j.jnt.2025.01.005.
[Published Version]
View
| DOI
| Download Published Version (ext.)
2025 | Epub ahead of print | Journal Article | IST-REx-ID: 19483 |

Chan, Stephanie, et al. “6-Torision and Integral Points on Quartic Threefolds.” Annali Della Scuola Normale Superiore Di Pisa, Classe Di Scienze, 18, Scuola Normale Superiore - Edizioni della Normale, 2025, doi:10.2422/2036-2145.202412_006.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2024 | Published | Journal Article | IST-REx-ID: 18064 |

Chan, Stephanie. “The Average Number of Integral Points on the Congruent Number Curves.” Advances in Mathematics, vol. 457, no. 11, 109946, Elsevier, 2024, doi:10.1016/j.aim.2024.109946.
[Published Version]
View
| Files available
| DOI
| arXiv
2024 | Published | Journal Article | IST-REx-ID: 19486 |

Chan, Stephanie. “The 3-Isogeny Selmer Groups of the Elliptic Curves Y2=x3+n2.” International Mathematics Research Notices, vol. 2024, no. 9, Oxford University Press, 2024, pp. 7571–93, doi:10.1093/imrn/rnad266.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2023 | Published | Journal Article | IST-REx-ID: 19487 |

Chan, Stephanie. “Integral Points on Cubic Twists of Mordell Curves.” Mathematische Annalen, vol. 388, no. 3, Springer Nature, 2023, pp. 2275–88, doi:10.1007/s00208-023-02578-x.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2022 | Published | Journal Article | IST-REx-ID: 19491 |

Chan, Stephanie, et al. “The 8-Rank of the Narrow Class Group and the Negative Pell Equation.” Forum of Mathematics, Sigma, vol. 10, e46, Cambridge University Press, 2022, doi:10.1017/fms.2022.40.
[Published Version]
View
| DOI
| Download Published Version (ext.)
| arXiv
2022 | Published | Journal Article | IST-REx-ID: 19490 |

Chan, Stephanie. “Integral Points on the Congruent Number Curve.” Transactions of the American Mathematical Society, vol. 375, no. 9, American Mathematical Society, 2022, pp. 6675–700, doi:10.1090/tran/8732.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2021 | Published | Journal Article | IST-REx-ID: 19489 |

Chan, Stephanie, et al. “A Density of Ramified Primes.” Research in Number Theory, vol. 8, 1, Springer Nature, 2021, doi:10.1007/s40993-021-00295-5.
[Published Version]
View
| DOI
| Download Published Version (ext.)
| arXiv
2021 | Published | Journal Article | IST-REx-ID: 19492 |

Chan, Stephanie, and Djordjo Milovic. “Kuroda’s Formula and Arithmetic Statistics.” Mathematische Zeitschrift, vol. 300, no. 2, Springer Nature, 2021, pp. 1509–27, doi:10.1007/s00209-021-02823-6.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2019 | Published | Journal Article | IST-REx-ID: 19493 |

Chan, Stephanie, et al. “Ranks, 2-Selmer Groups, and Tamagawa Numbers of Elliptic Curves with ℤ∕2ℤ × ℤ∕8ℤ-Torsion.” The Open Book Series, vol. 2, Mathematical Sciences Publishers, 2019, pp. 173–89, doi:10.2140/obs.2019.2.173.
[Preprint]
View
| DOI
| Download Preprint (ext.)
2018 | Published | Journal Article | IST-REx-ID: 19494 |

Chan, Stephanie. “Rational Right Triangles of a given Area.” The American Mathematical Monthly, vol. 125, no. 8, Taylor & Francis, 2018, pp. 689–703, doi:10.1080/00029890.2018.1495491.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
Grants
11 Publications
2025 | Epub ahead of print | Journal Article | IST-REx-ID: 19363 |

Chan, Stephanie, et al. “Averages of Multiplicative Functions along Equidistributed Sequences.” Journal of Number Theory, vol. 273, Elsevier, 2025, pp. 1–36, doi:10.1016/j.jnt.2025.01.005.
[Published Version]
View
| DOI
| Download Published Version (ext.)
2025 | Epub ahead of print | Journal Article | IST-REx-ID: 19483 |

Chan, Stephanie, et al. “6-Torision and Integral Points on Quartic Threefolds.” Annali Della Scuola Normale Superiore Di Pisa, Classe Di Scienze, 18, Scuola Normale Superiore - Edizioni della Normale, 2025, doi:10.2422/2036-2145.202412_006.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2024 | Published | Journal Article | IST-REx-ID: 18064 |

Chan, Stephanie. “The Average Number of Integral Points on the Congruent Number Curves.” Advances in Mathematics, vol. 457, no. 11, 109946, Elsevier, 2024, doi:10.1016/j.aim.2024.109946.
[Published Version]
View
| Files available
| DOI
| arXiv
2024 | Published | Journal Article | IST-REx-ID: 19486 |

Chan, Stephanie. “The 3-Isogeny Selmer Groups of the Elliptic Curves Y2=x3+n2.” International Mathematics Research Notices, vol. 2024, no. 9, Oxford University Press, 2024, pp. 7571–93, doi:10.1093/imrn/rnad266.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2023 | Published | Journal Article | IST-REx-ID: 19487 |

Chan, Stephanie. “Integral Points on Cubic Twists of Mordell Curves.” Mathematische Annalen, vol. 388, no. 3, Springer Nature, 2023, pp. 2275–88, doi:10.1007/s00208-023-02578-x.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2022 | Published | Journal Article | IST-REx-ID: 19491 |

Chan, Stephanie, et al. “The 8-Rank of the Narrow Class Group and the Negative Pell Equation.” Forum of Mathematics, Sigma, vol. 10, e46, Cambridge University Press, 2022, doi:10.1017/fms.2022.40.
[Published Version]
View
| DOI
| Download Published Version (ext.)
| arXiv
2022 | Published | Journal Article | IST-REx-ID: 19490 |

Chan, Stephanie. “Integral Points on the Congruent Number Curve.” Transactions of the American Mathematical Society, vol. 375, no. 9, American Mathematical Society, 2022, pp. 6675–700, doi:10.1090/tran/8732.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2021 | Published | Journal Article | IST-REx-ID: 19489 |

Chan, Stephanie, et al. “A Density of Ramified Primes.” Research in Number Theory, vol. 8, 1, Springer Nature, 2021, doi:10.1007/s40993-021-00295-5.
[Published Version]
View
| DOI
| Download Published Version (ext.)
| arXiv
2021 | Published | Journal Article | IST-REx-ID: 19492 |

Chan, Stephanie, and Djordjo Milovic. “Kuroda’s Formula and Arithmetic Statistics.” Mathematische Zeitschrift, vol. 300, no. 2, Springer Nature, 2021, pp. 1509–27, doi:10.1007/s00209-021-02823-6.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
2019 | Published | Journal Article | IST-REx-ID: 19493 |

Chan, Stephanie, et al. “Ranks, 2-Selmer Groups, and Tamagawa Numbers of Elliptic Curves with ℤ∕2ℤ × ℤ∕8ℤ-Torsion.” The Open Book Series, vol. 2, Mathematical Sciences Publishers, 2019, pp. 173–89, doi:10.2140/obs.2019.2.173.
[Preprint]
View
| DOI
| Download Preprint (ext.)
2018 | Published | Journal Article | IST-REx-ID: 19494 |

Chan, Stephanie. “Rational Right Triangles of a given Area.” The American Mathematical Monthly, vol. 125, no. 8, Taylor & Francis, 2018, pp. 689–703, doi:10.1080/00029890.2018.1495491.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv