@article{Quillen1972FiniteFields,
  author = {Quillen, Daniel},
  title = {On the cohomology and {$K$}-theory of the general linear groups over a finite field},
  journal = {Annals of Mathematics},
  series = {2},
  volume = {96},
  number = {3},
  year = {1972},
  pages = {552--586},
  doi = {10.2307/1970825},
  url = {https://annals.math.princeton.edu/1972/96-3/p07}
}

@incollection{Quillen1973Higher,
  author = {Quillen, Daniel},
  title = {Higher algebraic {$K$}-theory: {I}},
  editor = {Bass, Hyman},
  booktitle = {Algebraic {$K$}-theory, {I}: Higher {$K$}-theories},
  series = {Lecture Notes in Mathematics},
  volume = {341},
  publisher = {Springer-Verlag},
  address = {Berlin},
  year = {1973},
  pages = {85--147},
  doi = {10.1007/BFb0067053},
  url = {https://link.springer.com/chapter/10.1007/BFb0067053}
}

@incollection{Quillen1973Finite,
  author = {Quillen, Daniel},
  title = {Finite generation of the groups {$K_i$} of rings of algebraic integers},
  editor = {Bass, Hyman},
  booktitle = {Algebraic {$K$}-theory, {I}: Higher {$K$}-theories},
  series = {Lecture Notes in Mathematics},
  volume = {341},
  publisher = {Springer-Verlag},
  address = {Berlin},
  year = {1973},
  pages = {179--198},
  doi = {10.1007/BFb0067056},
  url = {https://link.springer.com/chapter/10.1007/BFb0067056}
}

@article{Suslin1983,
  author = {Suslin, A.},
  title = {On the {$K$}-theory of algebraically closed fields},
  journal = {Inventiones Mathematicae},
  volume = {73},
  number = {2},
  year = {1983},
  pages = {241--245},
  doi = {10.1007/BF01394024},
  url = {https://link.springer.com/article/10.1007/BF01394024}
}

@article{Suslin1984,
  author = {Suslin, A.},
  title = {On the {$K$}-theory of local fields},
  journal = {Journal of Pure and Applied Algebra},
  volume = {34},
  year = {1984},
  pages = {319--330},
  doi = {10.1016/0022-4049(84)90043-4},
  url = {https://www.sciencedirect.com/science/article/pii/0022404984900434}
}

@article{Suslin2003,
  author = {Suslin, A. A.},
  title = {On the {Grayson} spectral sequence},
  journal = {Proceedings of the Steklov Institute of Mathematics},
  volume = {241},
  year = {2003},
  pages = {202--237},
  note = {Also in Trudy Mat. Inst. Steklova 241 (2003), 218--253},
  url = {https://www.mathnet.ru/eng/tm398}
}

@article{FriedlanderSuslin2002,
  author = {Friedlander, Eric M. and Suslin, Andrei},
  title = {The spectral sequence relating algebraic {$K$}-theory to motivic cohomology},
  journal = {Annales scientifiques de l'\'{E}cole Normale Sup\'{e}rieure},
  series = {4},
  volume = {35},
  number = {6},
  year = {2002},
  pages = {773--875},
  doi = {10.1016/S0012-9593(02)01109-6},
  url = {https://www.numdam.org/item/ASENS_2002_4_35_6_773_0/}
}

@article{Voevodsky2011,
  author = {Voevodsky, Vladimir},
  title = {On motivic cohomology with {$\mathbf{Z}/l$}-coefficients},
  journal = {Annals of Mathematics},
  series = {2},
  volume = {174},
  number = {1},
  year = {2011},
  pages = {401--438},
  doi = {10.4007/annals.2011.174.1.11},
  url = {https://annals.math.princeton.edu/2011/174-1/p11}
}

@incollection{Gabber1992,
  author = {Gabber, Ofer},
  title = {{$K$}-theory of {Henselian} local rings and {Henselian} pairs},
  booktitle = {Algebraic {$K$}-theory, commutative algebra, and algebraic geometry ({Santa Margherita Ligure}, 1989)},
  series = {Contemporary Mathematics},
  volume = {126},
  publisher = {American Mathematical Society},
  address = {Providence, RI},
  year = {1992},
  pages = {59--70},
  doi = {10.1090/conm/126/00509},
  url = {https://doi.org/10.1090/conm/126/00509}
}

@article{ClausenMathewMorrow2021,
  author = {Clausen, Dustin and Mathew, Akhil and Morrow, Matthew},
  title = {{$K$}-theory and topological cyclic homology of henselian pairs},
  journal = {Journal of the American Mathematical Society},
  volume = {34},
  number = {2},
  year = {2021},
  pages = {411--473},
  doi = {10.1090/jams/961},
  url = {https://doi.org/10.1090/jams/961}
}

@book{Weibel2013,
  author = {Weibel, Charles A.},
  title = {The {$K$}-book: An introduction to algebraic {$K$}-theory},
  series = {Graduate Studies in Mathematics},
  volume = {145},
  publisher = {American Mathematical Society},
  address = {Providence, RI},
  year = {2013},
  url = {https://sites.math.rutgers.edu/~weibel/Kbook.html}
}

@book{Milne2022,
  author = {Milne, J. S.},
  title = {Algebraic Groups: The Theory of Group Schemes of Finite Type over a Field},
  series = {Cambridge Studies in Advanced Mathematics},
  volume = {170},
  publisher = {Cambridge University Press},
  address = {Cambridge},
  year = {2022},
  note = {Corrected reprint of the 2017 edition},
  url = {https://www.jmilne.org/math/Books/iAG2022.pdf}
}

@misc{Feld2026,
  author = {Feld, Niels},
  title = {Finite-coefficient {Gersten} injectivity fails in ramified mixed characteristic},
  year = {2026},
  eprint = {2608.05005},
  archivePrefix = {arXiv},
  primaryClass = {math.KT},
  note = {arXiv:2608.05005v2, 24 September 2026},
  url = {https://arxiv.org/abs/2608.05005v2}
}

@misc{Druzhinin2025,
  author = {Druzhinin, Andrei E.},
  title = {{Gersten} conjecture for {$K$}-theory on {Henselian} schemes and {$\phi$}-motivic localisation},
  year = {2025},
  eprint = {2512.01923},
  archivePrefix = {arXiv},
  primaryClass = {math.KT},
  note = {arXiv:2512.01923v1, 1 December 2025},
  url = {https://arxiv.org/abs/2512.01923v1}
}

@misc{StacksProject,
  author = {{The Stacks Project Authors}},
  title = {The {Stacks Project}},
  year = {2026},
  note = {Accessed 27 September 2026; stable tags cited in the text},
  url = {https://stacks.math.columbia.edu/}
}

@incollection{Gersten1973Problems,
  author = {Gersten, S. M.},
  title = {Problems about higher {$K$}-functors},
  editor = {Bass, Hyman},
  booktitle = {Algebraic {$K$}-theory, {I}: Higher {$K$}-theories},
  series = {Lecture Notes in Mathematics},
  volume = {341},
  publisher = {Springer-Verlag},
  address = {Berlin},
  year = {1973},
  pages = {43--56},
  doi = {10.1007/BFb0067050},
  url = {https://doi.org/10.1007/BFb0067050}
}

@incollection{Gersten1973Exact,
  author = {Gersten, S. M.},
  title = {Some exact sequences in the higher {$K$}-theory of rings},
  editor = {Bass, Hyman},
  booktitle = {Algebraic {$K$}-theory, {I}: Higher {$K$}-theories},
  series = {Lecture Notes in Mathematics},
  volume = {341},
  publisher = {Springer-Verlag},
  address = {Berlin},
  year = {1973},
  pages = {211--243},
  doi = {10.1007/BFb0067059},
  url = {https://doi.org/10.1007/BFb0067059}
}

@article{Panin2003,
  author = {Panin, I. A.},
  title = {The equicharacteristic case of the {Gersten} conjecture},
  journal = {Trudy Matematicheskogo Instituta imeni V. A. Steklova},
  volume = {241},
  year = {2003},
  pages = {169--178},
  note = {English translation in Proceedings of the Steklov Institute of Mathematics 241 (2003), 154--163},
  url = {https://www.mathnet.ru/eng/tm394}
}

@article{GilletLevine1987,
  author = {Gillet, Henri and Levine, Marc},
  title = {The relative form of {Gersten}'s conjecture over a discrete valuation ring: The smooth case},
  journal = {Journal of Pure and Applied Algebra},
  volume = {46},
  number = {1},
  year = {1987},
  pages = {59--71},
  doi = {10.1016/0022-4049(87)90043-0},
  url = {https://doi.org/10.1016/0022-4049(87)90043-0}
}

@misc{Mochizuki2020,
  author = {Mochizuki, Satoshi},
  title = {Local {Gersten}'s conjecture for regular system of parameters},
  year = {2020},
  eprint = {1503.07966},
  archivePrefix = {arXiv},
  primaryClass = {math.KT},
  note = {arXiv:1503.07966v8, 6 August 2020},
  url = {https://arxiv.org/abs/1503.07966v8}
}

@article{Matsumoto1969,
  author = {Matsumoto, Hideya},
  title = {Sur les sous-groupes arithm\'{e}tiques des groupes semi-simples d\'{e}ploy\'{e}s},
  journal = {Annales scientifiques de l'\'{E}cole Normale Sup\'{e}rieure},
  series = {4},
  volume = {2},
  number = {1},
  year = {1969},
  pages = {1--62},
  doi = {10.24033/asens.1174},
  url = {https://www.numdam.org/item/ASENS_1969_4_2_1_1_0/}
}

@incollection{SuslinVoevodsky2000,
  author = {Suslin, Andrei and Voevodsky, Vladimir},
  title = {{Bloch--Kato} conjecture and motivic cohomology with finite coefficients},
  editor = {Gordon, B. Brent and Lewis, James D. and M\"{u}ller-Stach, Stefan and Saito, Shuji and Yui, Noriko},
  booktitle = {The Arithmetic and Geometry of Algebraic Cycles},
  series = {NATO Science Series C: Mathematical and Physical Sciences},
  volume = {548},
  publisher = {Kluwer Academic Publishers},
  address = {Dordrecht},
  year = {2000},
  pages = {117--189},
  doi = {10.1007/978-94-011-4098-0_5},
  url = {https://link.springer.com/chapter/10.1007/978-94-011-4098-0_5}
}

@article{Weibel2009,
  author = {Weibel, Charles A.},
  title = {The norm residue isomorphism theorem},
  journal = {Journal of Topology},
  volume = {2},
  number = {2},
  year = {2009},
  pages = {346--372},
  doi = {10.1112/jtopol/jtp013},
  url = {https://londmathsoc.onlinelibrary.wiley.com/doi/10.1112/jtopol/jtp013}
}

@misc{Harari2023Brauer,
  author = {Harari, David},
  title = {\'{E}tale cohomology and {Brauer} group},
  year = {2023},
  note = {M2 course notes, 2022--2023},
  url = {https://www.imo.universite-paris-saclay.fr/~david.harari/enseignement/m2brauer23/etalbrauer.pdf}
}

@book{Silverman2009,
  author = {Silverman, Joseph H.},
  title = {The Arithmetic of Elliptic Curves},
  edition = {Second},
  series = {Graduate Texts in Mathematics},
  volume = {106},
  publisher = {Springer},
  address = {Dordrecht},
  year = {2009},
  doi = {10.1007/978-0-387-09494-6},
  url = {https://doi.org/10.1007/978-0-387-09494-6}
}

@article{FlynnWetherell2001,
  author = {Flynn, E. Victor and Wetherell, Joseph L.},
  title = {Covering collections and a challenge problem of {Serre}},
  journal = {Acta Arithmetica},
  volume = {98},
  number = {2},
  year = {2001},
  pages = {197--205},
  doi = {10.4064/aa98-2-9},
  url = {https://doi.org/10.4064/aa98-2-9}
}

@misc{MilneANT2020,
  author = {Milne, J. S.},
  title = {Algebraic Number Theory},
  year = {2020},
  note = {Version 3.08, July 19, 2020},
  url = {https://www.jmilne.org/math/CourseNotes/ANT.pdf}
}

@article{GeisserLevine2000,
  author = {Geisser, Thomas and Levine, Marc},
  title = {The {$K$}-theory of fields in characteristic {$p$}},
  journal = {Inventiones Mathematicae},
  volume = {139},
  year = {2000},
  pages = {459--493},
  doi = {10.1007/s002220050014},
  url = {https://www2.rikkyo.ac.jp/web/geisser/p-part.pdf}
}

@article{Soule1987,
  author = {Soul\'{e}, Christophe},
  title = {\'{E}l\'{e}ments cyclotomiques en {$K$}-th\'{e}orie},
  journal = {Ast\'{e}risque},
  volume = {147--148},
  year = {1987},
  pages = {225--257},
  url = {https://www.numdam.org/item/AST_1987__147-148__225_0.pdf}
}

@misc{OpenAIDegreeThree2026,
  author = {{OpenAI}},
  title = {{An integral degree-three Gersten counterexample}},
  howpublished = {OpenAI Math Release preprint
                  \href{https://github.com/openai/math/blob/main/preprints/An-Integral-Degree-Three-Gersten-Counterexample-September-26-2026/paper.pdf}{OAI:An-Integral-Degree-Three-Gersten-Counterexample-September-26-2026}},
  year = {2026}
}


@misc{MilneCFT2020,
  author = {Milne, J. S.},
  title = {Class Field Theory},
  year = {2020},
  note = {Version 4.03, 6 August 2020},
  url = {https://www.jmilne.org/math/CourseNotes/CFT.pdf}
}

@misc{Skalit2017,
  author = {Skalit, C.},
  title = {Regular morphisms and {Gersten}'s conjecture},
  year = {2017},
  eprint = {1710.00303},
  archivePrefix = {arXiv},
  primaryClass = {math.KT},
  note = {arXiv:1710.00303v1, 1 October 2017},
  url = {https://arxiv.org/abs/1710.00303v1}
}