@article{smith,
 author = {Smith, Alexander},
 title = {Algebraic integers with conjugates in a prescribed distribution},
 journal = {Annals of Mathematics},
 volume = {200}, number = {1}, pages = {71--122}, year = {2024},
 doi = {10.4007/annals.2024.200.1.2},
 note = {\href{https://doi.org/10.4007/annals.2024.200.1.2}{doi:10.4007/annals.2024.200.1.2}; \href{https://arxiv.org/abs/2111.12660v2}{arXiv:2111.12660v2}, Theorem 1.5 and Proposition 5.15},
 url = {https://arxiv.org/abs/2111.12660v2}
}
@misc{os,
 author = {Orloski, Bryce Joseph and {Talebizadeh Sardari}, Naser},
 title = {A quantitative converse of {Fekete}'s theorem},
 year = {2024},
 note = {\href{https://arxiv.org/abs/2304.10021v2}{arXiv:2304.10021v2}, 25 March 2024; checked 19 October 2026},
 url = {https://arxiv.org/abs/2304.10021v2}
}
@article{oss,
 author = {Orloski, Bryce and {Talebizadeh Sardari}, Naser and Smith, Alexander},
 title = {New lower bounds for the {Schur--Siegel--Smyth} trace problem},
 journal = {Mathematics of Computation},
 volume = {94}, number = {354}, pages = {2005--2040}, year = {2025},
 doi = {10.1090/mcom/4004},
 note = {Published online in 2024; \href{https://doi.org/10.1090/mcom/4004}{doi:10.1090/mcom/4004}; \href{https://arxiv.org/abs/2401.03252v3}{arXiv:2401.03252v3}},
 url = {https://arxiv.org/abs/2401.03252v3}
}
@misc{giraudin,
 author = {{Niedbala Giraudin}, David},
 title = {A new lower bound for the {Schur--Siegel--Smyth} trace problem},
 year = {2026},
 note = {\href{https://arxiv.org/abs/2609.29298v1}{arXiv:2609.29298v1}, 24 September 2026; checked 19 October 2026},
 url = {https://arxiv.org/abs/2609.29298v1}
}
@misc{certificate,
 author = {Pinho, Ricardo},
 title = {A certificate for {$C_{86}\le1.8117251$} ({Schur--Siegel--Smyth} trace constant)},
 year = {2026},
 howpublished = {\href{https://github.com/rpinho/c86-trace-certificate/tree/116a58ff99681226ce6299d4a02eeff1e7d3c5c7}{GitHub: rpinho/c86-trace-certificate}},
 note = {GitHub repository, commit 116a58ff99681226ce6299d4a02eeff1e7d3c5c7 (MIT); checked 19 October 2026},
 url = {https://github.com/rpinho/c86-trace-certificate/tree/116a58ff99681226ce6299d4a02eeff1e7d3c5c7}
}
@misc{table,
 author = {Tao, Terence and {contributors}},
 title = {Optimization constants: 86a, {Schur--Siegel--Smyth} trace constant},
 year = {2026},
 howpublished = {\href{https://teorth.github.io/optimizationproblems/constants/86a.html}{Online table, entry 86a}},
 note = {Live page and raw source checked 19 October 2026},
 url = {https://teorth.github.io/optimizationproblems/constants/86a.html}
}
@misc{pr227,
 author = {Pinho, Ricardo},
 title = {{C86}: improved upper bound 1.8117251},
 year = {2026},
 howpublished = {\href{https://github.com/teorth/optimizationproblems/pull/227}{GitHub pull request 227}},
 note = {Merged 18 October 2026; checked 19 October 2026},
 url = {https://github.com/teorth/optimizationproblems/pull/227}
}
@misc{seminar,
 author = {Orloski, Bryce},
 title = {Upper bounds on the {Schur--Siegel--Smyth} trace problem},
 year = {2025},
 howpublished = {\href{https://mathematics.huji.ac.il/node/3189563}{Gordon seminar, Hebrew University of Jerusalem}, 2 January 2025},
 note = {Seminar abstract announcing 1.81618; checked 19 October 2026},
 url = {https://mathematics.huji.ac.il/node/3189563}
}
@misc{thesisstatus,
 author = {{Pennsylvania State University, Department of Mathematics}},
 title = {{Ph.D.} graduates: {Bryce Orloski}, 2025},
 year = {2025},
 howpublished = {\href{https://science.psu.edu/math/graduate/phd-alumni}{Official departmental Ph.D. list}},
 note = {Official dissertation title and year; checked 19 October 2026. Thesis contents not inspected},
 url = {https://science.psu.edu/math/graduate/phd-alumni}
}