@misc{Guardia_2026,
  author = {Guàrdia i Rúbies, Jordi and Jones, John W. and Keating, Kevin and Pauli, Sebastian and Roberts, David P. and Roe, David},
  title = {Distinguished defining polynomials for extensions of p-adic fields},
  year = {2026},
  publisher = {arXiv},
  eprint = {2606.01453},
  archiveprefix = {arXiv},
  doi = {10.48550/ARXIV.2606.01453},
  url = {https://arxiv.org/abs/2606.01453},
}

@misc{Costa_2026,
  author = {Costa, Edgar and Dupuy, Taylor and Marseglia, Stefano and Roe, David and Vincent, Christelle},
  title = {Ordinary abelian varieties: isogeny graphs and polarizations},
  year = {2026},
  publisher = {arXiv},
  eprint = {2601.20979},
  archiveprefix = {arXiv},
  doi = {10.48550/ARXIV.2601.20979},
  url = {https://arxiv.org/abs/2601.20979},
}

@misc{Guardia_2026a,
  author = {Guàrdia-Rubies, Jordi and Jones, John and Keating, Kevin and Pauli, Sebastian and Roberts, David and Roe, David},
  title = {Families of $p$-adic fields},
  journal = {LuCaNT: Databases, Algorithms, and Computational Number Theory},
  pages = {1–28},
  year = {2026},
  publisher = {American Mathematical Society},
  eprint = {2507.02360},
  archiveprefix = {arXiv},
  doi = {10.1090/conm/840/16803},
  url = {http://dx.doi.org/10.1090/conm/840/16803},
}

@misc{Costa_2026a,
  author = {Costa, Edgar and Dupuy, Taylor and Marseglia, Stefano and Roe, David and Vincent, Christelle},
  title = {Labeling abelian varieties over finite fields},
  journal = {LuCaNT: Databases, Algorithms, and Computational Number Theory},
  pages = {277–283},
  year = {2026},
  publisher = {American Mathematical Society},
  eprint = {2501.17012},
  archiveprefix = {arXiv},
  doi = {10.1090/conm/840/16820},
  url = {http://dx.doi.org/10.1090/conm/840/16820},
}

@misc{Combes_2026,
  author = {Combes, Lewis and Jones, John and Paulhus, Jennifer and Roe, David and Roy, Manami and Schiavone, Sam},
  title = {Creating a dynamic database of finite groups},
  journal = {LuCaNT: Databases, Algorithms, and Computational Number Theory},
  pages = {119–139},
  year = {2026},
  publisher = {American Mathematical Society},
  eprint = {2409.09189},
  archiveprefix = {arXiv},
  doi = {10.1090/conm/840/16811},
  url = {http://dx.doi.org/10.1090/conm/840/16811},
}

@article{Costa_2025,
  author = {Costa, Edgar and Kedlaya, Kiran S. and Roe, David},
  title = {Hypergeometric {L-functions} in average polynomial time, {II}},
  journal = {Research in Number Theory},
  volume = {11},
  number = {1},
  year = {2025},
  publisher = {Springer Science and Business Media LLC},
  eprint = {2310.06971},
  archiveprefix = {arXiv},
  doi = {10.1007/s40993-024-00593-8},
  url = {http://dx.doi.org/10.1007/s40993-024-00593-8},
}

@article{Dupuy_2021,
  author = {Dupuy, Taylor and Kedlaya, Kiran and Roe, David and Vincent, Christelle},
  title = {Counterexamples to a {Conjecture} of {Ahmadi} and {Shparlinski}},
  journal = {Experimental Mathematics},
  volume = {32},
  number = {3},
  pages = {540–544},
  year = {2021},
  publisher = {Informa UK Limited},
  eprint = {2003.05368},
  archiveprefix = {arXiv},
  doi = {10.1080/10586458.2021.1980463},
  url = {http://dx.doi.org/10.1080/10586458.2021.1980463},
}

@article{Cunningham_2021,
  author = {Cunningham, Clifton and Roe, David},
  title = {Commutative character sheaves and geometric types for supercuspidal representations},
  journal = {Annales Henri Lebesgue},
  volume = {4},
  pages = {1389–1420},
  year = {2021},
  publisher = {MathDoc/Centre Mersenne},
  eprint = {1605.08820},
  archiveprefix = {arXiv},
  doi = {10.5802/ahl.105},
  url = {http://dx.doi.org/10.5802/ahl.105},
}

@inbook{Best_2021,
  author = {Best, Alex J. and Bober, Jonathan and Booker, Andrew R. and Costa, Edgar and Cremona, John E. and Derickx, Maarten and Lee, Min and Lowry-Duda, David and Roe, David and Sutherland, Andrew V. and Voight, John},
  title = {Computing {Classical} {Modular} {Forms}},
  booktitle = {Arithmetic Geometry, Number Theory, and Computation},
  pages = {131–213},
  year = {2021},
  publisher = {Springer International Publishing},
  eprint = {2002.04717},
  archiveprefix = {arXiv},
  doi = {10.1007/978-3-030-80914-0_4},
  url = {http://dx.doi.org/10.1007/978-3-030-80914-0_4},
}

@inbook{Dupuy_2021a,
  author = {Dupuy, Taylor and Kedlaya, Kiran and Roe, David and Vincent, Christelle},
  title = {Isogeny {Classes} of {Abelian} {Varieties} over {Finite} {Fields} in the {LMFDB}},
  booktitle = {Arithmetic Geometry, Number Theory, and Computation},
  pages = {375–448},
  year = {2021},
  publisher = {Springer International Publishing},
  eprint = {2003.05380},
  archiveprefix = {arXiv},
  doi = {10.1007/978-3-030-80914-0_13},
  url = {http://dx.doi.org/10.1007/978-3-030-80914-0_13},
}

@inbook{Costa_2021,
  author = {Costa, Edgar and Roe, David},
  title = {Zen and the {Art} of {Database} {Maintenance}},
  booktitle = {Arithmetic Geometry, Number Theory, and Computation},
  pages = {277–292},
  year = {2021},
  publisher = {Springer International Publishing},
  doi = {10.1007/978-3-030-80914-0_8},
  url = {http://dx.doi.org/10.1007/978-3-030-80914-0_8},
}

@article{Costa_2020,
  author = {Costa, Edgar and Kedlaya, Kiran S. and Roe, David},
  title = {Hypergeometric {L-functions} in average polynomial time},
  journal = {Open Book Series},
  volume = {4},
  number = {1},
  pages = {143–159},
  year = {2020},
  publisher = {Mathematical Sciences Publishers},
  eprint = {2005.13640},
  archiveprefix = {arXiv},
  doi = {10.2140/obs.2020.4.143},
  url = {http://dx.doi.org/10.2140/obs.2020.4.143},
}

@article{Roe_2019,
  author = {Roe, David},
  title = {The inverse {Galois} problem for p-adic fields},
  journal = {The Open Book Series},
  volume = {2},
  number = {1},
  pages = {393–409},
  year = {2019},
  publisher = {Mathematical Sciences Publishers},
  eprint = {1809.10195},
  archiveprefix = {arXiv},
  doi = {10.2140/obs.2019.2.393},
  url = {http://dx.doi.org/10.2140/obs.2019.2.393},
}

@article{Cunningham_2015,
  author = {Cunningham, Clifton and Roe, David},
  title = {From the function-sheaf dictionary to quasicharacters of $p$-adic tori},
  journal = {Journal of the Institute of Mathematics of Jussieu},
  volume = {17},
  number = {1},
  pages = {1–37},
  year = {2015},
  publisher = {Cambridge University Press (CUP)},
  eprint = {1310.2988},
  archiveprefix = {arXiv},
  doi = {10.1017/s1474748015000286},
  url = {http://dx.doi.org/10.1017/S1474748015000286},
}

@inproceedings{Caruso_2018,
  author = {Caruso, Xavier and Roe, David and Vaccon, Tristan},
  title = {{ZpL}: a p-adic {Precision} {Package}},
  booktitle = {Proceedings of the 2018 ACM International Symposium on Symbolic and Algebraic Computation},
  series = {ISSAC ’18},
  pages = {119–126},
  year = {2018},
  publisher = {ACM},
  eprint = {1802.08532},
  archiveprefix = {arXiv},
  doi = {10.1145/3208976.3208995},
  url = {http://dx.doi.org/10.1145/3208976.3208995},
  collection = {ISSAC ’18},
}

@inproceedings{Caruso_2017,
  author = {Caruso, Xavier and Roe, David and Vaccon, Tristan},
  title = {Characteristic {Polynomials} of p-adic {Matrices}},
  booktitle = {Proceedings of the 2017 ACM International Symposium on Symbolic and Algebraic Computation},
  series = {ISSAC ’17},
  pages = {389–396},
  year = {2017},
  publisher = {ACM},
  eprint = {1702.01653},
  archiveprefix = {arXiv},
  doi = {10.1145/3087604.3087618},
  url = {http://dx.doi.org/10.1145/3087604.3087618},
  collection = {ISSAC ’17},
}

@inproceedings{Caruso_2016,
  author = {Caruso, Xavier and Roe, David and Vaccon, Tristan},
  title = {Division and {Slope} {Factorization} of {p-Adic} {Polynomials}},
  booktitle = {Proceedings of the ACM on International Symposium on Symbolic and Algebraic Computation},
  series = {ISSAC ’16},
  pages = {159–166},
  year = {2016},
  publisher = {ACM},
  eprint = {1602.01303},
  archiveprefix = {arXiv},
  doi = {10.1145/2930889.2930898},
  url = {http://dx.doi.org/10.1145/2930889.2930898},
  collection = {ISSAC ’16},
}

@article{Adrian_2016,
  author = {Adrian, Moshe and Roe, David},
  title = {Rectifiers and the local {Langlands} correspondence: the unramified case},
  journal = {Mathematical Research Letters},
  volume = {23},
  number = {3},
  pages = {593–619},
  year = {2016},
  publisher = {International Press of Boston},
  eprint = {1307.0469},
  archiveprefix = {arXiv},
  doi = {10.4310/mrl.2016.v23.n3.a1},
  url = {http://dx.doi.org/10.4310/MRL.2016.v23.n3.a1},
}

@inproceedings{Caruso_2015,
  author = {Caruso, Xavier and Roe, David and Vaccon, Tristan},
  title = {{p-Adic} {Stability} {In} {Linear} {Algebra}},
  booktitle = {Proceedings of the 2015 ACM International Symposium on Symbolic and Algebraic Computation},
  series = {ISSAC'15},
  pages = {101–108},
  year = {2015},
  publisher = {ACM},
  eprint = {1506.05644},
  archiveprefix = {arXiv},
  doi = {10.1145/2755996.2756655},
  url = {http://dx.doi.org/10.1145/2755996.2756655},
  collection = {ISSAC'15},
}

@article{Julia_Gordon_2017,
  author = {Julia Gordon and David Roe},
  title = {The canonical measure on a reductive p-adic group is motivic},
  journal = {Annales scientifiques de l’École normale supérieure},
  volume = {50},
  number = {2},
  pages = {345–355},
  year = {2017},
  publisher = {Societe Mathematique de France},
  eprint = {1507.02619},
  archiveprefix = {arXiv},
  doi = {10.24033/asens.2322},
  url = {http://dx.doi.org/10.24033/asens.2322},
}

@article{Roe_2014,
  author = {Roe, David},
  title = {The 3-adic eigencurve at the boundary of weight space},
  journal = {International Journal of Number Theory},
  volume = {10},
  number = {07},
  pages = {1791–1806},
  year = {2014},
  publisher = {World Scientific Pub Co Pte Lt},
  eprint = {1310.7354},
  archiveprefix = {arXiv},
  doi = {10.1142/s1793042114500560},
  url = {http://dx.doi.org/10.1142/S1793042114500560},
}

@article{Caruso_2014,
  author = {Caruso, Xavier and Roe, David and Vaccon, Tristan},
  title = {Tracking $p$-adic precision},
  journal = {LMS Journal of Computation and Mathematics},
  volume = {17},
  number = {A},
  pages = {274–294},
  year = {2014},
  publisher = {Wiley},
  eprint = {1402.7142},
  archiveprefix = {arXiv},
  doi = {10.1112/s1461157014000357},
  url = {http://dx.doi.org/10.1112/S1461157014000357},
}

@misc{Abbott_2006,
  author = {Abbott, Timothy G. and Kedlaya, Kiran S. and Roe, David},
  title = {Bounding {Picard} numbers of surfaces using p-adic cohomology},
  year = {2006},
  publisher = {arXiv},
  eprint = {math/0601508},
  archiveprefix = {arXiv},
  doi = {10.48550/ARXIV.MATH/0601508},
  url = {https://arxiv.org/abs/math/0601508},
}

@misc{Roe_2013,
  author = {Roe, David},
  title = {Constructing local {L-packets} for tame unitary groups},
  year = {2013},
  publisher = {arXiv},
  eprint = {1311.7456},
  archiveprefix = {arXiv},
  doi = {10.48550/ARXIV.1311.7456},
  url = {https://arxiv.org/abs/1311.7456},
}