% BibTeX entries for the publications of Timo Keller.
% https://www.timo-keller.de/publications.html
%
% Journal metadata for the published articles comes from Crossref (via DOI
% content negotiation); preprint metadata from the arXiv API. The file is
% UTF-8, so compile with a Unicode-aware engine (lualatex/xelatex) or load
% \usepackage[utf8]{inputenc} -- several coauthor names carry diacritics.

% ---------------------------------------------------------------- preprints

@misc{ChidambaramKeller2026PointCounts,
  author        = {Chidambaram, Shiva and Keller, Timo},
  title         = {Point counts of abelian varieties over finite fields
                   determining their zeta function},
  year          = {2026},
  eprint        = {2606.28989},
  archivePrefix = {arXiv},
  primaryClass  = {math.NT},
  url           = {https://arxiv.org/abs/2606.28989},
}

@misc{HashimotoKellerLeFourn2025X0Nstar,
  author        = {Hashimoto, Sachi and Keller, Timo and Le Fourn, Samuel},
  title         = {Rational points on $X_0(N)^*$ when $N$ is non-squarefree},
  year          = {2025},
  eprint        = {2505.00680},
  archivePrefix = {arXiv},
  primaryClass  = {math.NT},
  url           = {https://arxiv.org/abs/2505.00680},
}

@misc{vanBommelCostaElkiesKellerSchiavoneVoight2024_17T7,
  author        = {van Bommel, Raymond and Costa, Edgar and Elkies, Noam D.
                   and Keller, Timo and Schiavone, Sam and Voight, John},
  title         = {The constructive inverse {Galois} problem via {Hilbert}
                   modular forms: realizing the transitive group 17T7},
  year          = {2024},
  eprint        = {2411.07857},
  archivePrefix = {arXiv},
  primaryClass  = {math.NT},
  url           = {https://arxiv.org/abs/2411.07857},
}

@misc{KellerYin2024pConverse,
  author        = {Keller, Timo and Yin, Mulun},
  title         = {$p$-converse theorems for elliptic curves of potentially
                   good ordinary reduction at {Eisenstein} primes},
  year          = {2024},
  eprint        = {2410.23241},
  archivePrefix = {arXiv},
  primaryClass  = {math.NT},
  url           = {https://arxiv.org/abs/2410.23241},
}

@misc{KellerYin2024Iwasawa,
  author        = {Keller, Timo and Yin, Mulun},
  title         = {On the anticyclotomic {Iwasawa} theory of newforms at
                   {Eisenstein} primes of semistable reduction},
  year          = {2024},
  eprint        = {2402.12781},
  archivePrefix = {arXiv},
  primaryClass  = {math.NT},
  url           = {https://arxiv.org/abs/2402.12781},
}

@misc{ErtlKellerQin2020TateConjectures,
  author        = {Ertl, Veronika and Keller, Timo and Qin, Yanshuai},
  title         = {Comparison of different {Tate} conjectures},
  year          = {2020},
  eprint        = {2012.01337},
  archivePrefix = {arXiv},
  primaryClass  = {math.NT},
  url           = {https://arxiv.org/abs/2012.01337},
}

% ---------------------------------------------------------------- published

@article{KellerStoll2025StrongBSD,
  author  = {Keller, Timo and Stoll, Michael},
  title   = {Complete verification of strong {BSD} for many modular abelian
             surfaces over $\mathbf{Q}$},
  journal = {Forum of Mathematics, Sigma},
  volume  = {13},
  pages   = {e20, 1--82},
  year    = {2025},
  doi     = {10.1017/fms.2024.133},
  eprint  = {2312.07307},
  archivePrefix = {arXiv},
}

@article{BourdonHashimotoKellerEtAl2025IsolatedPoints,
  author  = {Bourdon, Abbey and Hashimoto, Sachi and Keller, Timo and
             Klagsbrun, Zev and Lowry-Duda, David and Morrison, Travis and
             Najman, Filip and Shukla, Himanshu},
  title   = {Towards a classification of isolated $j$-invariants},
  journal = {Mathematics of Computation},
  volume  = {94},
  number  = {351},
  pages   = {447--473},
  year    = {2025},
  doi     = {10.1090/mcom/3956},
  eprint  = {2311.07740},
  archivePrefix = {arXiv},
}

@article{AdzagaKellerMichaudJacobsEtAl2024QuadraticPoints,
  author  = {Ad{\v{z}}aga, Nikola and Keller, Timo and Michaud-Jacobs, Philippe
             and Najman, Filip and Ozman, Ekin and Vukorepa, Borna},
  title   = {Computing quadratic points on modular curves $X_0(N)$},
  journal = {Mathematics of Computation},
  volume  = {93},
  number  = {347},
  pages   = {1371--1397},
  year    = {2024},
  doi     = {10.1090/mcom/3902},
  eprint  = {2303.12566},
  archivePrefix = {arXiv},
}

@article{Keller2023Specialization,
  author  = {Keller, Timo},
  title   = {Specialization of {Mordell--Weil} ranks of abelian schemes over
             surfaces to curves},
  journal = {International Journal of Number Theory},
  volume  = {19},
  number  = {07},
  pages   = {1671--1680},
  year    = {2023},
  doi     = {10.1142/S1793042123500811},
}

@article{AdzagaArulBeneishEtAl2023QuadraticChabauty,
  author  = {Ad{\v{z}}aga, Nikola and Arul, Vishal and Beneish, Lea and
             Chen, Mingjie and Chidambaram, Shiva and Keller, Timo and
             Wen, Boya},
  title   = {Quadratic {Chabauty} for {Atkin--Lehner} quotients of modular
             curves of prime level and genus 4, 5, 6},
  journal = {Acta Arithmetica},
  volume  = {208},
  number  = {1},
  pages   = {15--49},
  year    = {2023},
  doi     = {10.4064/aa220110-7-3},
  eprint  = {2105.04811},
  archivePrefix = {arXiv},
}

@article{KellerStoll2022ExactVerification,
  author  = {Keller, Timo and Stoll, Michael},
  title   = {Exact verification of the strong {BSD} conjecture for some
             absolutely simple abelian surfaces},
  journal = {Comptes Rendus. Math{\'e}matique},
  volume  = {360},
  number  = {G5},
  pages   = {483--489},
  year    = {2022},
  doi     = {10.5802/crmath.313},
  eprint  = {2107.00325},
  archivePrefix = {arXiv},
}

@article{Keller2022pTorsionSha,
  author  = {Keller, Timo},
  title   = {On the $p$-torsion of the {Tate--Shafarevich} group of abelian
             varieties over higher dimensional bases over finite fields},
  journal = {Journal de th{\'e}orie des nombres de Bordeaux},
  volume  = {34},
  number  = {2},
  pages   = {497--513},
  year    = {2022},
  doi     = {10.5802/jtnb.1211},
  eprint  = {2203.05798},
  archivePrefix = {arXiv},
}

@article{AdzagaChidambaramKellerPadurariu2022Hyperelliptic,
  author  = {Ad{\v{z}}aga, Nikola and Chidambaram, Shiva and Keller, Timo and
             Padurariu, Oana},
  title   = {Rational points on hyperelliptic {Atkin--Lehner} quotients of
             modular curves and their coverings},
  journal = {Research in Number Theory},
  volume  = {8},
  number  = {4},
  pages   = {87},
  year    = {2022},
  doi     = {10.1007/s40993-022-00388-9},
  eprint  = {2203.05541},
  archivePrefix = {arXiv},
}

@article{Keller2019BSDAnalogue,
  author  = {Keller, Timo},
  title   = {On an analogue of the conjecture of {Birch} and
             {Swinnerton-Dyer} for abelian schemes over higher dimensional
             bases over finite fields},
  journal = {Documenta Mathematica},
  volume  = {24},
  pages   = {915--993},
  year    = {2019},
  doi     = {10.4171/dm/697},
}

@article{Keller2018Duality,
  author  = {Keller, Timo},
  title   = {A duality theorem for {Tate--Shafarevich} groups of curves over
             algebraically closed fields},
  journal = {Abhandlungen aus dem Mathematischen Seminar der Universit{\"a}t
             Hamburg},
  volume  = {88},
  number  = {2},
  pages   = {289--295},
  year    = {2018},
  doi     = {10.1007/s12188-018-0196-7},
}

@article{Keller2016Sha,
  author  = {Keller, Timo},
  title   = {On the {Tate--Shafarevich} group of abelian schemes over higher
             dimensional bases over finite fields},
  journal = {manuscripta mathematica},
  volume  = {150},
  number  = {1--2},
  pages   = {211--245},
  year    = {2016},
  doi     = {10.1007/s00229-015-0803-1},
}

% ------------------------------------------------------------ non-refereed

@misc{KellerStoll2022Rundbrief,
  author       = {Keller, Timo and Stoll, Michael},
  title        = {Exact verification of the strong {Birch--Swinnerton-Dyer}
                  conjecture for some absolutely simple modular abelian
                  surfaces},
  howpublished = {Computeralgebra-Rundbrief Nr.~70},
  year         = {2022},
  url          = {https://www.timo-keller.de/articles/BSD_verification_CAR.pdf},
}