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

Averages of multiplicative functions along equidistributed sequences
S. Chan, P. Koymans, C. Pagano, E. Sofos, Journal of Number Theory 273 (2025) 1–36.
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S. Chan, P. Koymans, C. Pagano, E. Sofos, Journal of Number Theory 273 (2025) 1–36.
2025 | Epub ahead of print | Journal Article | IST-REx-ID: 19483 |

6-torision and integral points on quartic threefolds
S. Chan, P. Koymans, C. Pagano, E. Sofos, Annali Della Scuola Normale Superiore Di Pisa, Classe Di Scienze (2025).
[Preprint]
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S. Chan, P. Koymans, C. Pagano, E. Sofos, Annali Della Scuola Normale Superiore Di Pisa, Classe Di Scienze (2025).
2024 | Published | Journal Article | IST-REx-ID: 18064 |

The average number of integral points on the congruent number curves
S. Chan, Advances in Mathematics 457 (2024).
[Published Version]
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| arXiv
S. Chan, Advances in Mathematics 457 (2024).
2024 | Published | Journal Article | IST-REx-ID: 19486 |

The 3-isogeny selmer groups of the elliptic curves y2=x3+n2
S. Chan, International Mathematics Research Notices 2024 (2024) 7571–7593.
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S. Chan, International Mathematics Research Notices 2024 (2024) 7571–7593.
2023 | Published | Journal Article | IST-REx-ID: 19487 |

Integral points on cubic twists of Mordell curves
S. Chan, Mathematische Annalen 388 (2023) 2275–2288.
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S. Chan, Mathematische Annalen 388 (2023) 2275–2288.
2022 | Published | Journal Article | IST-REx-ID: 19491 |

The 8-rank of the narrow class group and the negative Pell equation
S. Chan, P. Koymans, D. Milovic, C. Pagano, Forum of Mathematics, Sigma 10 (2022).
[Published Version]
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S. Chan, P. Koymans, D. Milovic, C. Pagano, Forum of Mathematics, Sigma 10 (2022).
2022 | Published | Journal Article | IST-REx-ID: 19490 |

Integral points on the congruent number curve
S. Chan, Transactions of the American Mathematical Society 375 (2022) 6675–6700.
[Preprint]
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| arXiv
S. Chan, Transactions of the American Mathematical Society 375 (2022) 6675–6700.
2021 | Published | Journal Article | IST-REx-ID: 19489 |

A density of ramified primes
S. Chan, C. McMeekin, D. Milovic, Research in Number Theory 8 (2021).
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S. Chan, C. McMeekin, D. Milovic, Research in Number Theory 8 (2021).
2021 | Published | Journal Article | IST-REx-ID: 19492 |

Kuroda’s formula and arithmetic statistics
S. Chan, D. Milovic, Mathematische Zeitschrift 300 (2021) 1509–1527.
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S. Chan, D. Milovic, Mathematische Zeitschrift 300 (2021) 1509–1527.
2019 | Published | Journal Article | IST-REx-ID: 19493 |

Ranks, 2-Selmer groups, and Tamagawa numbers of elliptic curves with ℤ∕2ℤ × ℤ∕8ℤ-torsion
S. Chan, J. Hanselman, W. Li, The Open Book Series 2 (2019) 173–189.
[Preprint]
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S. Chan, J. Hanselman, W. Li, The Open Book Series 2 (2019) 173–189.
2018 | Published | Journal Article | IST-REx-ID: 19494 |

Rational right triangles of a given area
S. Chan, The American Mathematical Monthly 125 (2018) 689–703.
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S. Chan, The American Mathematical Monthly 125 (2018) 689–703.
Grants
11 Publications
2025 | Epub ahead of print | Journal Article | IST-REx-ID: 19363 |

Averages of multiplicative functions along equidistributed sequences
S. Chan, P. Koymans, C. Pagano, E. Sofos, Journal of Number Theory 273 (2025) 1–36.
[Published Version]
View
| DOI
| Download Published Version (ext.)
S. Chan, P. Koymans, C. Pagano, E. Sofos, Journal of Number Theory 273 (2025) 1–36.
2025 | Epub ahead of print | Journal Article | IST-REx-ID: 19483 |

6-torision and integral points on quartic threefolds
S. Chan, P. Koymans, C. Pagano, E. Sofos, Annali Della Scuola Normale Superiore Di Pisa, Classe Di Scienze (2025).
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
S. Chan, P. Koymans, C. Pagano, E. Sofos, Annali Della Scuola Normale Superiore Di Pisa, Classe Di Scienze (2025).
2024 | Published | Journal Article | IST-REx-ID: 18064 |

The average number of integral points on the congruent number curves
S. Chan, Advances in Mathematics 457 (2024).
[Published Version]
View
| Files available
| DOI
| arXiv
S. Chan, Advances in Mathematics 457 (2024).
2024 | Published | Journal Article | IST-REx-ID: 19486 |

The 3-isogeny selmer groups of the elliptic curves y2=x3+n2
S. Chan, International Mathematics Research Notices 2024 (2024) 7571–7593.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
S. Chan, International Mathematics Research Notices 2024 (2024) 7571–7593.
2023 | Published | Journal Article | IST-REx-ID: 19487 |

Integral points on cubic twists of Mordell curves
S. Chan, Mathematische Annalen 388 (2023) 2275–2288.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
S. Chan, Mathematische Annalen 388 (2023) 2275–2288.
2022 | Published | Journal Article | IST-REx-ID: 19491 |

The 8-rank of the narrow class group and the negative Pell equation
S. Chan, P. Koymans, D. Milovic, C. Pagano, Forum of Mathematics, Sigma 10 (2022).
[Published Version]
View
| DOI
| Download Published Version (ext.)
| arXiv
S. Chan, P. Koymans, D. Milovic, C. Pagano, Forum of Mathematics, Sigma 10 (2022).
2022 | Published | Journal Article | IST-REx-ID: 19490 |

Integral points on the congruent number curve
S. Chan, Transactions of the American Mathematical Society 375 (2022) 6675–6700.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
S. Chan, Transactions of the American Mathematical Society 375 (2022) 6675–6700.
2021 | Published | Journal Article | IST-REx-ID: 19489 |

A density of ramified primes
S. Chan, C. McMeekin, D. Milovic, Research in Number Theory 8 (2021).
[Published Version]
View
| DOI
| Download Published Version (ext.)
| arXiv
S. Chan, C. McMeekin, D. Milovic, Research in Number Theory 8 (2021).
2021 | Published | Journal Article | IST-REx-ID: 19492 |

Kuroda’s formula and arithmetic statistics
S. Chan, D. Milovic, Mathematische Zeitschrift 300 (2021) 1509–1527.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
S. Chan, D. Milovic, Mathematische Zeitschrift 300 (2021) 1509–1527.
2019 | Published | Journal Article | IST-REx-ID: 19493 |

Ranks, 2-Selmer groups, and Tamagawa numbers of elliptic curves with ℤ∕2ℤ × ℤ∕8ℤ-torsion
S. Chan, J. Hanselman, W. Li, The Open Book Series 2 (2019) 173–189.
[Preprint]
View
| DOI
| Download Preprint (ext.)
S. Chan, J. Hanselman, W. Li, The Open Book Series 2 (2019) 173–189.
2018 | Published | Journal Article | IST-REx-ID: 19494 |

Rational right triangles of a given area
S. Chan, The American Mathematical Monthly 125 (2018) 689–703.
[Preprint]
View
| DOI
| Download Preprint (ext.)
| arXiv
S. Chan, The American Mathematical Monthly 125 (2018) 689–703.