@preamble{"\renewcommand{\MR}[1]{}"}.
@PREAMBLE{ {\providecommand{\noopsort}[1]{}} }

@unpublished{KLSlgc,
    author = {Kansal, Kalyani and Levin, Brandon and  Savitt, David},
    title = {Towards mod $p$ local-global compatibility for partial weight one Hilbert modular forms},
    note = {In preparation},
    year = {2026}
}

@article{KLSposet,
  title={Inclusions between p-bounded crystalline loci in dimension two},
  author={Kansal, Kalyani and Levin, Brandon and Savitt, David},
  journal={arXiv preprint arXiv:2607.26305},
  year={2026}
}

@unpublished{aristotle,
 author = {The Harmonic Team},
 title = {Aristotle: {IMO}-level {A}utomated {T}heorem {P}roving},
 year = {2025},
note = {\url{https://arxiv.org/pdf/2510.01346.pdf}},
    KEY = {Arist},
}

@unpublished{KLSgithub,
 author = {Kansal, Kalyani and Levin, Brandon and  Savitt, David},
  year = {2026},
 title = {Github repository},
  note = {\url{https://github.com/davidsavitt/KLStypes}},
  KEY = {KLSgit}
}

@misc{stacks-project,
  author       = {The {Stacks project authors}},
  title        = {The Stacks project},
  howpublished = {\url{http://stacks.math.columbia.edu}},
  year         = {2018},
}

@article{LLLM-models,
    AUTHOR = {Le, Daniel and Le Hung, Bao V. and Levin, Brandon and Morra,
              Stefano},
    title = {Local models for {G}alois deformation rings and applications},
       JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {231},
      YEAR = {2023},
    NUMBER = {3},
     PAGES = {1277--1488},
}

%%%%%%%%%%%%%%%%%%%%
%% UNPUBLISHED NEEDING UPDATES

@unpublished{EGHcategorical,
 AUTHOR = {Emerton, Matthew and Toby Gee and Eugen Hellmann},
  TITLE = {An introduction to the categorical $p$-adic {L}anglands program},
  NOTE = {Notes from the I.H.E.S.\ Summer School on the {L}anglands program},
   YEAR = {2022}}



@article{DiamondSasaki,
 AUTHOR = {Diamond, Fred and Shu Sasaki},
 TITLE = {A {S}erre weight conjecture for geometric {H}ilbert modular forms in characteristic $p$},
VOLUME = {25},
NUMBER = {9},
 YEAR = {2023},
 JOURNAL = {J.\ Eur.\ Math.\ Soc.},
PAGES = {3453--3536}
}

@article{diamond2023geometric,
  title={Geometric weight-shifting operators on Hilbert modular forms in characteristic p},
  author={Diamond, Fred},
  journal={Journal of the Institute of Mathematics of Jussieu},
  volume={22},
  number={4},
  pages={1871--1930},
  year={2023},
  publisher={Cambridge University Press}
}


@article{DW,
  title={Unramifiedness of Galois representations attached to Hilbert modular forms mod $p$ of weight $1$},
  author={Dimitrov, Mladen and Wiese, Gabor},
  journal={Journal of the Institute of Mathematics of Jussieu},
  volume={19},
  number={2},
  pages={281--306},
  year={2020},
  publisher={Cambridge University Press}
}

@article{DDW,
  title={Unramifiedness of weight $1$ Hilbert Hecke algebras},
  author={Deo, Shaunak V and Dimitrov, Mladen and Wiese, Gabor},
  journal={Algebra \& Number Theory},
  volume={18},
  number={8},
  pages={1465--1496},
  year={2024},
  publisher={Mathematical Sciences Publishers}
}

@article{DSr,
  title={On Galois representations associated to mod $ p $ Hilbert modular forms},
  author={Diamond, Fred and Sasaki, Shu},
  journal={arXiv preprint arXiv:2512.02570},
  year={2025}
}

@article{lan2016higher,
  title={Higher Koecher’s principle},
  author={Lan, Kai-Wen},
  journal={Mathematical Research Letters},
  volume={23},
  number={1},
  pages={163--199},
  year={2016},
  publisher={International Press of Boston, Inc. Somerville, MA 02143, USA}
}

@article{taylor1989galois,
  title={On Galois representations associated to Hilbert modular forms},
  author={Taylor, Richard},
  journal={Inventiones mathematicae},
  volume={98},
  number={2},
  pages={265--280},
  year={1989},
  publisher={Springer-Verlag Berlin/Heidelberg}
}
@book{bergdall2024p,
  title={On $ p $-adic $ L $-functions for Hilbert modular forms},
  author={Bergdall, John and Hansen, David},
  volume={298},
  year={2024},
  publisher={American Mathematical Society}
}

@article{skinner2009note,
  title={A note on the p-adic Galois representations attached to Hilbert modular forms},
  author={Skinner, Christopher},
  journal={Documenta Mathematica},
  volume={14},
  pages={241},
  year={2009},
  publisher={European Mathematical Society (EMS)}
}

@inproceedings{diamond2025trace,
  title={Kodaira--Spencer isomorphisms and degeneracy maps on Iwahori-level Hilbert modular varieties: the saving trace},
  author={Diamond, Fred},
  booktitle={Forum of Mathematics, Sigma},
  volume={13},
  pages={e50},
  year={2025},
  organization={Cambridge University Press}
}

@article{cegsA,
    AUTHOR = {Caraiani, Ana and Emerton, Matthew and Gee, Toby and Savitt,
              David},
     TITLE = {The geometric {B}reuil-{M}\'{e}zard conjecture for
              two-dimensional potentially {B}arsotti-{T}ate {G}alois
              representations},
   JOURNAL = {Algebra Number Theory},
  FJOURNAL = {Algebra \& Number Theory},
    VOLUME = {19},
      YEAR = {2025},
    NUMBER = {2},
     PAGES = {287--312},
      ISSN = {1937-0652,1944-7833},
   MRCLASS = {11F80},
  MRNUMBER = {4859067},
MRREVIEWER = {Michael\ M.\ Schein},
       DOI = {10.2140/ant.2025.19.287}
}

@incollection{cegsB,
    AUTHOR = {Caraiani, Ana and Emerton, Matthew and Gee, Toby and Savitt,
              David},
     TITLE = {Local geometry of moduli stacks of two-dimensional {G}alois
              representations},
 BOOKTITLE = {Arithmetic geometry},
    SERIES = {Tata Inst. Fundam. Res. Stud. Math.},
    VOLUME = {41},
     PAGES = {127--201},
 PUBLISHER = {Tata Inst. Fund. Res., Mumbai},
      YEAR = {[2024] \copyright 2024},
      ISBN = {978-81-957829-7-0},
   MRCLASS = {14D24 (11F80 14D23 14G35)},
  MRNUMBER = {4812702},
MRREVIEWER = {Jon\ Eivind\ Vatne}
}


@article{cegsC,
    AUTHOR = {Caraiani, Ana and Emerton, Matthew and Gee, Toby and Savitt,
              David},
     TITLE = {Components of moduli stacks of two-dimensional {G}alois
              representations},
   JOURNAL = {Forum Math. Sigma},
  FJOURNAL = {Forum of Mathematics. Sigma},
    VOLUME = {12},
      YEAR = {2024},
     PAGES = {Paper No. e31, 62},
      ISSN = {2050-5094},
   MRCLASS = {11F80 (14D23)},
  MRNUMBER = {4715158},
MRREVIEWER = {Atsushi\ Yamagami},
       DOI = {10.1017/fms.2024.4},
       URL = {https://doi.org/10.1017/fms.2024.4}
}

@book{lan2008arithmetic,
  title={Arithmetic compactifications of PEL-type Shimura varieties},
  author={Lan, Kai-Wen},
  year={2008},
  publisher={Harvard University}
}

@article {LS2012vanishing,
    AUTHOR = {Lan, Kai-Wen and Suh, Junecue},
     TITLE = {Vanishing theorems for torsion automorphic sheaves on compact
              {PEL}-type {S}himura varieties},
   JOURNAL = {Duke Math. J.},
  FJOURNAL = {Duke Mathematical Journal},
    VOLUME = {161},
      YEAR = {2012},
    NUMBER = {6},
     PAGES = {1113--1170},
      ISSN = {0012-7094},
   MRCLASS = {11G18 (11F75 14F17 14F30 14G35)},
  MRNUMBER = {2913102},
MRREVIEWER = {Yifeng Liu},
       DOI = {10.1215/00127094-1548452},
       URL = {https://doi.org/10.1215/00127094-1548452},
}

@article{LPdual,
  title={Dual BGG complexes for automorphic bundles},
  author={Lan, Kai-Wen and Polo, Patrick},
  journal={Math. Res. Lett},
  volume={25},
  number={1},
  pages={85--141},
  year={2018},
  publisher={Citeseer}
}

@book {EGmoduli,
    AUTHOR = {Emerton,       Matthew and Gee, Toby},
     TITLE = {Moduli stacks of \'{e}tale ({$\varphi, \Gamma$})-modules and the
              existence of crystalline lifts},
    SERIES = {Annals of Mathematics Studies},
    VOLUME = {215},
 PUBLISHER = {Princeton University Press, Princeton, NJ},
      YEAR = {2023},
     PAGES = {ix+298},
      ISBN = {978-0-691-24134-0; 978-0-691-24135-7; 978-0-691-24136-4},
   MRCLASS = {14D23 (11F80 11S37 14F30)},
  MRNUMBER = {4529886},
       DOI = {10.1515/9780691241364},
       URL = {https://doi.org/10.1515/9780691241364},
}

@unpublished{CEGS,
 AUTHOR = {Caraiani, Ana and Matthew Emerton and Toby Gee and David Savitt},
 TITLE = {Moduli stacks of two-dimensional {G}alois representations},
 NOTE = {preprint, 123 pages},
 YEAR = {2019},
}

@preamble{"\renewcommand{\MR}[1]{}"} 

@unpublished {BhattMorrowScholze,
AUTHOR = {Bhatt, Bhargav and Morrow, Matthew and Scholze, Peter},
TITLE = {Integral $p$-adic {H}odge theory},
NOTE = {Preprint},
YEAR = {2016},
}

@unpublished {WangElimination,
 AUTHOR = {Wang, Xiyuan},
 TITLE = {Weight elimination when $p=2$},
 NOTE = {In preparation},
 YEAR = {2016},
}

@article {CDMa,
    AUTHOR = {Caruso, Xavier and David, Agn\`es and M\'{e}zard, Ariane},
     TITLE = {Un calcul d'anneaux de d\'{e}formations potentiellement
              {B}arsotti-{T}ate},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {370},
      YEAR = {2018},
    NUMBER = {9},
     PAGES = {6041--6096},
      ISSN = {0002-9947},
   MRCLASS = {11F80 (11S37)},
  MRNUMBER = {3814324},
MRREVIEWER = {Volker J. Heiermann},
       DOI = {10.1090/tran/6973},
       URL = {https://doi.org/10.1090/tran/6973},
}

@article {CEGM,
    AUTHOR = {Calegari, Frank and Emerton, Matthew and Gee, Toby and
              Mavrides, Lambros},
     TITLE = {Explicit {S}erre weights for two-dimensional {G}alois
              representations},
   JOURNAL = {Compos. Math.},
  FJOURNAL = {Compositio Mathematica},
    VOLUME = {153},
      YEAR = {2017},
    NUMBER = {9},
     PAGES = {1893--1907},
      ISSN = {0010-437X,1570-5846},
   MRCLASS = {11F80 (11F41)},
  MRNUMBER = {3705280},
MRREVIEWER = {Tobias\ Berger},
       DOI = {10.1112/S0010437X17007254},
       URL = {https://doi.org/10.1112/S0010437X17007254},
}

@article {DDR,
    AUTHOR = {Demb\'el\'e, Lassina and Diamond, Fred and Roberts, David P.},
     TITLE = {Serre weights and wild ramification in two-dimensional
              {G}alois representations},
   JOURNAL = {Forum Math. Sigma},
  FJOURNAL = {Forum of Mathematics. Sigma},
    VOLUME = {4},
      YEAR = {2016},
     PAGES = {e33, 49},
      ISSN = {2050-5094},
   MRCLASS = {11F80 (11S15 11S25)},
  MRNUMBER = {3589336},
       DOI = {10.1017/fms.2016.27},
       URL = {http://dx.doi.org/10.1017/fms.2016.27},
}

@unpublished{gkksw,
 AUTHOR = {Guzman, Anthony and Kalyani Kansal and Iason Kountouridis and Ben Savoie and Xiyuan Wang},
  TITLE = {Smoothness of components of the {E}merton-{G}ee stack for $\mathrm{GL}_2$},
   NOTE = {\url{https://arxiv.org/pdf/2209.09439.pdf}},
   YEAR = {2022},
    KEY = {GKKSW},
    URL = {\url{https://arxiv.org/pdf/2209.09439.pdf}},
  }
  
 @unpublished{kans22,
 AUTHOR = {Kansal, Kalyani},
  TITLE = {Codimension one intersections between components of the {E}merton-{G}ee stack for ${\mathrm{GL}}_2$},
   NOTE = {\url{https://arxiv.org/abs/2210.05002}},
   YEAR = {2022},
  }


@unpublished{KS24,
  title={Non-generic components of the Emerton-Gee stack for ${\mathrm{GL}}_2$},
  author={Kansal, Kalyani and Savoie, Ben},
  note={\url{https://arxiv.org/pdf/2407.07883}},
  year={2024}
}
@article {LLLM,
    AUTHOR = {Le, Daniel and Le Hung, Bao V. and Levin, Brandon and Morra,
              Stefano},
     TITLE = {Potentially crystalline deformation rings and {S}erre weight
              conjectures: {S}hapes and {S}hadows},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {212},
      YEAR = {2018},
    NUMBER = {1},
     PAGES = {1--107},
      ISSN = {0020-9910},
   MRCLASS = {11F33 (11F80)},
  MRNUMBER = {3773788},
MRREVIEWER = {Atsushi Yamagami},
       DOI = {10.1007/s00222-017-0762-0},
       URL = {https://doi.org/10.1007/s00222-017-0762-0},
}


@unpublished {CaraianiLevin,
 AUTHOR = {Caraiani, Ana and Levin, Brandon},
 TITLE = {Moduli spaces of {K}isin modules with descent data and parahoric local models},
 NOTE = {Preprint},
 YEAR = {2015},
}

@unpublished {EmertonFormal,
 AUTHOR = {Emerton, Matthew},
  TITLE = {Formal algebraic stacks},
  NOTE = {Avaliable at \url{http://www.math.uchicago.edu/~emerton/pdffiles/formal-stacks.pdf}},
  }

@article {MR2562795,
    AUTHOR = {Pappas, G. and Rapoport, M.},
     TITLE = {{$\Phi$}-modules and coefficient spaces},
   JOURNAL = {Mosc. Math. J.},
  FJOURNAL = {Moscow Mathematical Journal},
    VOLUME = {9},
      YEAR = {2009},
    NUMBER = {3},
     PAGES = {625--663, back matter},
      ISSN = {1609-3321},
   MRCLASS = {14G22 (11F80 11S20 14M15)},
  MRNUMBER = {2562795 (2011c:14074)},
MRREVIEWER = {Alessandra Bertapelle},
}

@article{DelignePappas,
  title={Singularit{\'e}s des espaces de modules de Hilbert, en les caract{\'e}ristiques divisant le discriminant},
  author={Deligne, Pierre and Pappas, Georgios},
  journal={Compositio Mathematica},
  volume={90},
  number={1},
  pages={59--79},
  year={1994}
}

@article{rapoport1978compactifications,
  title={Compactifications de l'espace de modules de Hilbert-Blumenthal},
  author={Rapoport, Michael},
  journal={Compositio Mathematica},
  volume={36},
  number={3},
  pages={255--335},
  year={1978}
}
@article {geekisin,
    AUTHOR = {Gee, Toby and Kisin, Mark},
     TITLE = {The {B}reuil--{M}\'ezard conjecture for potentially
              {B}arsotti--{T}ate representations},
   JOURNAL = {Forum Math. Pi},
  FJOURNAL = {Forum of Mathematics. Pi},
    VOLUME = {2},
      YEAR = {2014},
     PAGES = {e1 (56 pages)},
      ISSN = {2050-5086},
   MRCLASS = {11F33},
  MRNUMBER = {3292675},
       DOI = {10.1017/fmp.2014.1},
       URL = {http://dx.doi.org/10.1017/fmp.2014.1},
}


@inproceedings {MR2827792,
    AUTHOR = {Breuil, Christophe},
     TITLE = {The emerging {$p$}-adic {L}anglands programme},
 BOOKTITLE = {Proceedings of the {I}nternational {C}ongress of
              {M}athematicians. {V}olume {II}},
     PAGES = {203--230},
 PUBLISHER = {Hindustan Book Agency, New Delhi},
      YEAR = {2010},
   MRCLASS = {22E50 (11F70 11F80)},
  MRNUMBER = {2827792},
MRREVIEWER = {Benjamin Schraen},
}

@article {MR2551764,
    AUTHOR = {Khare, Chandrashekhar and Wintenberger, Jean-Pierre},
     TITLE = {Serre's modularity conjecture. {II}},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {178},
      YEAR = {2009},
    NUMBER = {3},
     PAGES = {505--586},
      ISSN = {0020-9910},
     CODEN = {INVMBH},
   MRCLASS = {11F80 (11F11 11F33 11R39)},
  MRNUMBER = {2551764},
MRREVIEWER = {Gabor Wiese},
       DOI = {10.1007/s00222-009-0206-6},
       URL = {http://dx.doi.org/10.1007/s00222-009-0206-6},
}

@article {MR2551763,
    AUTHOR = {Khare, Chandrashekhar and Wintenberger, Jean-Pierre},
     TITLE = {Serre's modularity conjecture. {I}},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {178},
      YEAR = {2009},
    NUMBER = {3},
     PAGES = {485--504},
      ISSN = {0020-9910},
     CODEN = {INVMBH},
   MRCLASS = {11F80 (11F11 11F33 11R39)},
  MRNUMBER = {2551763},
MRREVIEWER = {Gabor Wiese},
       DOI = {10.1007/s00222-009-0205-7},
       URL = {http://dx.doi.org/10.1007/s00222-009-0205-7},
}

@article {MR2551765,
    AUTHOR = {Kisin, Mark},
     TITLE = {Modularity of 2-adic {B}arsotti-{T}ate representations},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {178},
      YEAR = {2009},
    NUMBER = {3},
     PAGES = {587--634},
      ISSN = {0020-9910},
     CODEN = {INVMBH},
   MRCLASS = {11F80 (11F41 14L15 14L30)},
  MRNUMBER = {2551765},
MRREVIEWER = {Gabor Wiese},
       DOI = {10.1007/s00222-009-0207-5},
       URL = {http://dx.doi.org/10.1007/s00222-009-0207-5},
}



@article {GHS,
    AUTHOR = {Gee, Toby and Herzig, Florian and Savitt, David},
     TITLE = {General {S}erre weight conjectures},
   JOURNAL = {J. Eur. Math. Soc. (JEMS)},
  FJOURNAL = {Journal of the European Mathematical Society (JEMS)},
    VOLUME = {20},
      YEAR = {2018},
    NUMBER = {12},
     PAGES = {2859--2949},
      ISSN = {1435-9855},
   MRCLASS = {11F80 (11F75)},
  MRNUMBER = {3871496},
       DOI = {10.4171/JEMS/826},
       URL = {https://doi.org/10.4171/JEMS/826},
}

@unpublished {PaskunasBMatTwo,
 AUTHOR =  {Pa{\v{s}}k{\=u}nas, Vytautas},
 TITLE = {On $2$-dimensional $2$-adic {G}alois representations of local and global fields},
 NOTE = {preprint},
 YEAR = {2015},
}

@unpublished {SanderScalar,
 AUTHOR = {Sander, Fabian},
 TITLE = {A local proof of the {B}reuil--{M}\'ezard conjecture in the scalar semi-simplification case},
 NOTE = {preprint},
 YEAR = {2015},
}

@unpublished {MullerThesis,
 AUTHOR = {Muller, Alain},
  TITLE = {Rel\`evements cristallins de repr\'esentations galoisiennes},
  NOTE = {Universit\'e de Strasbourg Ph.D.\ thesis},
   YEAR = {2013},
 }
 
@incollection {MR0933356,
    AUTHOR = {Jantzen, J. C.},
     TITLE = {Representations of {C}hevalley groups in their own
              characteristic},
 BOOKTITLE = {The {A}rcata {C}onference on {R}epresentations of {F}inite
              {G}roups ({A}rcata, {C}alif., 1986)},
    SERIES = {Proc. Sympos. Pure Math.},
    VOLUME = {47},
     PAGES = {127--146},
 PUBLISHER = {Amer. Math. Soc., Providence, RI},
      YEAR = {1987},
   MRCLASS = {20G40 (17B10 20C20 20G05)},
  MRNUMBER = {933356 (89g:20076)},
MRREVIEWER = {Leonard Chastkofsky},
}

@article {MR2103328,
    AUTHOR = {Ash, Avner and Pollack, David and Soares, Dayna},
     TITLE = {{${\rm SL}_3(\mathbb F_2)$}-extensions of {$\mathbb Q$} and
              arithmetic cohomology modulo 2},
   JOURNAL = {Experiment. Math.},
  FJOURNAL = {Experimental Mathematics},
    VOLUME = {13},
      YEAR = {2004},
    NUMBER = {3},
     PAGES = {298--307},
      ISSN = {1058-6458},
   MRCLASS = {11F75},
  MRNUMBER = {2103328 (2005h:11107)},
MRREVIEWER = {Paul E. Gunnells},
}


@article {MR2999126,
    AUTHOR = {Fiebig, Peter},
     TITLE = {An upper bound on the exceptional characteristics for
              {L}usztig's character formula},
   JOURNAL = {J. Reine Angew. Math.},
  FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik. [Crelle's
              Journal]},
    VOLUME = {673},
      YEAR = {2012},
     PAGES = {1--31},
      ISSN = {0075-4102},
     CODEN = {JRMAA8},
   MRCLASS = {20G05 (20C20)},
  MRNUMBER = {2999126},
MRREVIEWER = {Sam Raskin},
       DOI = {10.1515/CRELLE.2011.170},
       URL = {http://dx.doi.org/10.1515/CRELLE.2011.170},
}


@book {MR1890629,
    AUTHOR = {Bourbaki, Nicolas},
     TITLE = {Lie groups and {L}ie algebras. {C}hapters 4--6},
    SERIES = {Elements of Mathematics (Berlin)},
      NOTE = {Translated from the 1968 French original by Andrew Pressley},
 PUBLISHER = {Springer-Verlag, Berlin},
      YEAR = {2002},
     PAGES = {xii+300},
      ISBN = {3-540-42650-7},
   MRCLASS = {17-01 (00A05 20E42 20F55 22-01)},
  MRNUMBER = {1890629 (2003a:17001)},
       DOI = {10.1007/978-3-540-89394-3},
       URL = {http://dx.doi.org/10.1007/978-3-540-89394-3},
}

@incollection {MR563476,
    AUTHOR = {Serre, Jean-Pierre},
     TITLE = {Groupes alg\'ebriques associ\'es aux modules de
              {H}odge-{T}ate},
 BOOKTITLE = {Journ\'ees de {G}\'eom\'etrie {A}lg\'ebrique de {R}ennes.
              ({R}ennes, 1978), {V}ol. {III}},
    SERIES = {Ast\'erisque},
    VOLUME = {65},
     PAGES = {155--188},
 PUBLISHER = {Soc. Math. France, Paris},
      YEAR = {1979},
   MRCLASS = {14L05 (12B25 14G20)},
  MRNUMBER = {563476 (81j:14027)},
MRREVIEWER = {Kenneth A. Ribet},
}



@unpublished{gs-fllifts,
   author = {{Gee}, T. and {Herzig}, F. and {Liu}, T. and {Savitt}, D.},
    title = "{Potentially crystalline lifts of certain prescribed types}",
  journal = {ArXiv e-prints},
archivePrefix = "arXiv",
   eprint = {1506.01050},
 primaryClass = "math.NT",
 keywords = {Mathematics - Number Theory, 11F80},
     year = 2015,
   adsurl = {http://adsabs.harvard.edu/abs/2015arXiv150601050G},
  adsnote = {Provided by the SAO/NASA Astrophysics Data System},
  pages = {22 pages},
 note = {Preprint}
}

   
@article {andersen,
    AUTHOR = {Andersen, Henning Haahr},
     TITLE = {The strong linkage principle},
   JOURNAL = {J. Reine Angew. Math.},
  FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik},
    VOLUME = {315},
      YEAR = {1980},
     PAGES = {53--59},
      ISSN = {0075-4102},
     CODEN = {JRMAA8},
   MRCLASS = {14F05 (20G05 22E45)},
  MRNUMBER = {MR564523 (81b:14006)},
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@unpublished{HuTan,
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@unpublished{conradlifting,
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@misc{ascher2018moduli,
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@unpublished {bib:Casselman,
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}
		

@article {MR2471600,
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@article {MR2457845,
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}
		

@article {MR2295058,
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      ISSN = {0179-5376},
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  MRNUMBER = {MR2295058 (2008a:12001)},
MRREVIEWER = {Eugenii Shustin},
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       URL = {http://dx.doi.org/10.1007/s00454-006-1283-6},
}
				

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MRREVIEWER = {Ian Kiming},
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@article {MR2004122,
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MRREVIEWER = {Thomas A. Weston},
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       URL = {http://dx.doi.org/10.1112/S0010437X03000289},
}
		

@article {MR1969795,
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      NOTE = {With an appendix by Kristin Lauter},
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  MRNUMBER = {MR1969795 (2004i:11059)},
MRREVIEWER = {Gabriel D. Villa-Salvador},
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}
		

@article {MR1744487,
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      YEAR = {2000},
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   MRCLASS = {05E10 (05A15 05A16 20C30)},
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MRREVIEWER = {Robert John Clarke},
       DOI = {http://www.combinatorics.org/Volume_7/Abstracts/v7i1r6.html},
       URL = {http://www.combinatorics.org/Volume_7/Abstracts/v7i1r6.html},
}
		

@article {MR2493214,
    AUTHOR = {Breuil, Christophe},
     TITLE = {Introduction g\'en\'erale},
      NOTE = {Repr{\'e}sentations $p$-adiques de groupes $p$-adiques. I.
              Repr{\'e}sentations galoisiennes et $(\phi,\Gamma)$-modules},
   JOURNAL = {Ast\'erisque},
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      YEAR = {2008},
     PAGES = {1--12},
      ISSN = {0303-1179},
      ISBN = {978-2-85629-256-3},
   MRCLASS = {22Exx (11S37)},
  MRNUMBER = {MR2493214},
}
		

@book {MR2482309,
     TITLE = {Repr\'esentations {$p$}-adiques de groupes {$p$}-adiques. {I}.
              {R}epr\'esentations galoisiennes et {$(\phi,\Gamma)$}-modules},
    EDITOR = {Berger, Laurent and Breuil, Christophe and Colmez, Pierre},
      NOTE = {Ast{\'e}risque No. 319 (2008)},
 PUBLISHER = {Soci\'et\'e Math\'ematique de France},
   ADDRESS = {Paris},
      YEAR = {2008},
     PAGES = {i--xvi and 1--420},
      ISSN = {0303-1179},
   MRCLASS = {11-06 (22-06)},
  MRNUMBER = {MR2482309},
}
		

@article {MR2359853,
    AUTHOR = {Breuil, Christophe and Schneider, Peter},
     TITLE = {First steps towards {$p$}-adic {L}anglands functoriality},
   JOURNAL = {J. Reine Angew. Math.},
  FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik. [Crelle's
              Journal]},
    VOLUME = {610},
      YEAR = {2007},
     PAGES = {149--180},
      ISSN = {0075-4102},
     CODEN = {JRMAA8},
   MRCLASS = {11S37 (22E50)},
  MRNUMBER = {MR2359853 (2009f:11147)},
MRREVIEWER = {Jacques Tilouine},
       DOI = {10.1515/CRELLE.2007.070},
       URL = {http://dx.doi.org/10.1515/CRELLE.2007.070},
}
		

@article {MR2097893,
    AUTHOR = {Breuil, Christophe},
     TITLE = {Invariant {$\scr L$} et s\'erie sp\'eciale {$p$}-adique},
   JOURNAL = {Ann. Sci. \'Ecole Norm. Sup. (4)},
  FJOURNAL = {Annales Scientifiques de l'\'Ecole Normale Sup\'erieure.
              Quatri\`eme S\'erie},
    VOLUME = {37},
      YEAR = {2004},
    NUMBER = {4},
     PAGES = {559--610},
      ISSN = {0012-9593},
     CODEN = {ASENAH},
   MRCLASS = {11F85 (11F80 22E50)},
  MRNUMBER = {MR2097893 (2005j:11039)},
MRREVIEWER = {David L. Savitt},
       DOI = {10.1016/j.ansens.2004.02.001},
       URL = {http://dx.doi.org/10.1016/j.ansens.2004.02.001},
}
		

@article {MR2018825,
    AUTHOR = {Breuil, Christophe},
     TITLE = {Sur quelques repr\'esentations modulaires et {$p$}-adiques de
              {${\rm GL}_2(\mathbf{Q}_p)$}. {I}},
   JOURNAL = {Compositio Math.},
  FJOURNAL = {Compositio Mathematica},
    VOLUME = {138},
      YEAR = {2003},
    NUMBER = {2},
     PAGES = {165--188},
      ISSN = {0010-437X},
     CODEN = {CMPMAF},
   MRCLASS = {11F33 (11F80 11F85)},
  MRNUMBER = {MR2018825 (2004k:11062)},
MRREVIEWER = {David L. Savitt},
       DOI = {10.1023/A:1026191928449},
       URL = {http://dx.doi.org/10.1023/A:1026191928449},
}
		

@article {MR1955206,
    AUTHOR = {Breuil, Christophe},
     TITLE = {Sur quelques repr\'esentations modulaires et {$p$}-adiques de
              {${\rm GL}_2(\bold Q_p)$}. {II}},
   JOURNAL = {J. Inst. Math. Jussieu},
  FJOURNAL = {Journal of the Institute of Mathematics of Jussieu. JIMJ.
              Journal de l'Institute de Math\'ematiques de Jussieu},
    VOLUME = {2},
      YEAR = {2003},
    NUMBER = {1},
     PAGES = {23--58},
      ISSN = {1474-7480},
   MRCLASS = {11F80 (11F33 11F85)},
  MRNUMBER = {MR1955206 (2005d:11079)},
MRREVIEWER = {David L. Savitt},
       DOI = {10.1017/S1474748003000021},
       URL = {http://dx.doi.org/10.1017/S1474748003000021},
}


@article{kisin2010integral,
  title={Integral models for Shimura varieties of abelian type},
  author={Kisin, Mark},
  journal={Journal of the American Mathematical Society},
  volume={23},
  number={4},
  pages={967--1012},
  year={2010}
}

@incollection {MR1971512,
    AUTHOR = {Breuil, Christophe},
     TITLE = {Integral {$p$}-adic {H}odge theory},
 BOOKTITLE = {Algebraic geometry 2000, {A}zumino ({H}otaka)},
    SERIES = {Adv. Stud. Pure Math.},
    VOLUME = {36},
     PAGES = {51--80},
 PUBLISHER = {Math. Soc. Japan},
   ADDRESS = {Tokyo},
      YEAR = {2002},
   MRCLASS = {11S20 (14F30 14F40)},
  MRNUMBER = {MR1971512 (2004e:11135)},
MRREVIEWER = {Mark Kisin},
}
		

@article {MR1944572,
    AUTHOR = {Breuil, Christophe and M{\'e}zard, Ariane},
     TITLE = {Multiplicit\'es modulaires et repr\'esentations de {${\rm
              GL}_2({\bf Z}_p)$} et de {${\rm Gal}(\overline{\bf Q}_p/{\bf Q}_p)$} en {$l=p$}},
      NOTE = {With an appendix by Guy Henniart},
   JOURNAL = {Duke Math. J.},
  FJOURNAL = {Duke Mathematical Journal},
    VOLUME = {115},
      YEAR = {2002},
    NUMBER = {2},
     PAGES = {205--310},
      ISSN = {0012-7094},
     CODEN = {DUMJAO},
   MRCLASS = {11F80 (11F85 11S23)},
  MRNUMBER = {MR1944572 (2004i:11052)},
MRREVIEWER = {Jacques Tilouine},
       DOI = {10.1215/S0012-7094-02-11522-1},
       URL = {http://dx.doi.org/10.1215/S0012-7094-02-11522-1},
}
		

@article {MR1922829,
    AUTHOR = {Breuil, Christophe and Messing, William},
     TITLE = {Torsion \'etale and crystalline cohomologies},
      NOTE = {Cohomologies $p$-adiques et applications arithm{\'e}tiques,
              II},
   JOURNAL = {Ast\'erisque},
  FJOURNAL = {Ast\'erisque},
    NUMBER = {279},
      YEAR = {2002},
     PAGES = {81--124},
      ISSN = {0303-1179},
   MRCLASS = {14F30 (11G10 11G25 14F20 14F40)},
  MRNUMBER = {MR1922829 (2004k:14027)},
MRREVIEWER = {Abdellah Mokrane},
}
		

@article {MR1839918,
    AUTHOR = {Breuil, Christophe and Conrad, Brian and Diamond, Fred and
              Taylor, Richard},
     TITLE = {On the modularity of elliptic curves over {$\bold Q$}: wild
              3-adic exercises},
   JOURNAL = {J. Amer. Math. Soc.},
  FJOURNAL = {Journal of the American Mathematical Society},
    VOLUME = {14},
      YEAR = {2001},
    NUMBER = {4},
     PAGES = {843--939 (electronic)},
      ISSN = {0894-0347},
   MRCLASS = {11G05 (11F80 11G07 14G35)},
  MRNUMBER = {MR1839918 (2002d:11058)},
MRREVIEWER = {Karl Rubin},
       DOI = {10.1090/S0894-0347-01-00370-8},
       URL = {http://dx.doi.org/10.1090/S0894-0347-01-00370-8},
}
		

@article {MR1804530,
    AUTHOR = {Breuil, Christophe},
     TITLE = {Groupes {$p$}-divisibles, groupes finis et modules filtr\'es},
   JOURNAL = {Ann. of Math. (2)},
  FJOURNAL = {Annals of Mathematics. Second Series},
    VOLUME = {152},
      YEAR = {2000},
    NUMBER = {2},
     PAGES = {489--549},
      ISSN = {0003-486X},
     CODEN = {ANMAAH},
   MRCLASS = {14L15 (14F30 14L05)},
  MRNUMBER = {MR1804530 (2001k:14087)},
MRREVIEWER = {Mark Kisin},
       DOI = {10.2307/2661391},
       URL = {http://dx.doi.org/10.2307/2661391},
}
		

@article {MR1772678,
    AUTHOR = {Breuil, Christophe},
     TITLE = {Int\'egration sur les vari\'et\'es {$p$}-adiques (d'apr\`es
              {C}oleman, {C}olmez)},
      NOTE = {S{\'e}minaire Bourbaki, Vol. 1998/99},
   JOURNAL = {Ast\'erisque},
  FJOURNAL = {Ast\'erisque},
    NUMBER = {266},
      YEAR = {2000},
     PAGES = {Exp.\ No.\ 860, 5, 319--350},
      ISSN = {0303-1179},
   MRCLASS = {11G25 (11G10 11G20 14F40 14G20 14G22 14K15)},
  MRNUMBER = {MR1772678 (2001m:11103)},
MRREVIEWER = {Bruno Chiarellotto},
}
		

@article {MR1724405,
    AUTHOR = {Breuil, Christophe},
     TITLE = {Une remarque sur les repr\'esentations locales {$p$}-adiques
              et les congruences entre formes modulaires de {H}ilbert},
   JOURNAL = {Bull. Soc. Math. France},
  FJOURNAL = {Bulletin de la Soci\'et\'e Math\'ematique de France},
    VOLUME = {127},
      YEAR = {1999},
    NUMBER = {3},
     PAGES = {459--472},
      ISSN = {0037-9484},
     CODEN = {BSMFAA},
   MRCLASS = {11F80 (11F33 11F41 14F30)},
  MRNUMBER = {MR1724405 (2000h:11054)},
MRREVIEWER = {Amnon Besser},
       DOI = {http://www.numdam.org/item?id=BSMF_1999__127_3_459_0},
       URL = {http://www.numdam.org/item?id=BSMF_1999__127_3_459_0},
}
		

@article {MR1695849,
    AUTHOR = {Breuil, Christophe},
     TITLE = {Une application de corps des normes},
   JOURNAL = {Compositio Math.},
  FJOURNAL = {Compositio Mathematica},
    VOLUME = {117},
      YEAR = {1999},
    NUMBER = {2},
     PAGES = {189--203},
      ISSN = {0010-437X},
     CODEN = {CMPMAF},
   MRCLASS = {11S23 (14F30 14F40 14L05)},
  MRNUMBER = {MR1695849 (2000f:11157)},
MRREVIEWER = {Christine Noot-Huyghe},
       DOI = {10.1023/A:1000923331053},
       URL = {http://dx.doi.org/10.1023/A:1000923331053},
}
		

@article {MR1681105,
    AUTHOR = {Breuil, Christophe},
     TITLE = {Repr\'esentations semi-stables et modules fortement
              divisibles},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {136},
      YEAR = {1999},
    NUMBER = {1},
     PAGES = {89--122},
      ISSN = {0020-9910},
     CODEN = {INVMBH},
   MRCLASS = {14F30},
  MRNUMBER = {MR1681105 (2000c:14024)},
MRREVIEWER = {Guy Laffaille},
       DOI = {10.1007/s002220050305},
       URL = {http://dx.doi.org/10.1007/s002220050305},
}
		

@article {MR1669039,
    AUTHOR = {Breuil, Christophe},
     TITLE = {Sch\'emas en groupe et modules filtr\'es},
   JOURNAL = {C. R. Acad. Sci. Paris S\'er. I Math.},
  FJOURNAL = {Comptes Rendus de l'Acad\'emie des Sciences. S\'erie I.
              Math\'ematique},
    VOLUME = {328},
      YEAR = {1999},
    NUMBER = {2},
     PAGES = {93--97},
      ISSN = {0764-4442},
     CODEN = {CASMEI},
   MRCLASS = {14L15},
  MRNUMBER = {MR1669039 (99m:14086)},
       DOI = {10.1016/S0764-4442(99)80144-X},
       URL = {http://dx.doi.org/10.1016/S0764-4442(99)80144-X},
}
		

@article {MR1658764,
    AUTHOR = {Breuil, Christophe},
     TITLE = {Cohomologie \'etale de {$p$}-torsion et cohomologie
              cristalline en r\'eduction semi-stable},
   JOURNAL = {Duke Math. J.},
  FJOURNAL = {Duke Mathematical Journal},
    VOLUME = {95},
      YEAR = {1998},
    NUMBER = {3},
     PAGES = {523--620},
      ISSN = {0012-7094},
     CODEN = {DUMJAO},
   MRCLASS = {14F30 (14F20 14F40 14G20)},
  MRNUMBER = {MR1658764 (99m:14036)},
MRREVIEWER = {Guy Laffaille},
       DOI = {10.1215/S0012-7094-98-09514-X},
       URL = {http://dx.doi.org/10.1215/S0012-7094-98-09514-X},
}
		

@article {MR1621389,
    AUTHOR = {Breuil, Christophe},
     TITLE = {Construction de repr\'esentations {$p$}-adiques semi-stables},
   JOURNAL = {Ann. Sci. \'Ecole Norm. Sup. (4)},
  FJOURNAL = {Annales Scientifiques de l'\'Ecole Normale Sup\'erieure.
              Quatri\`eme S\'erie},
    VOLUME = {31},
      YEAR = {1998},
    NUMBER = {3},
     PAGES = {281--327},
      ISSN = {0012-9593},
     CODEN = {ASENAH},
   MRCLASS = {14F30 (11F85 11G25 14F20 14F40)},
  MRNUMBER = {MR1621389 (99k:14034)},
MRREVIEWER = {Adolfo Quir{\'o}s},
       DOI = {10.1016/S0012-9593(98)80136-5},
       URL = {http://dx.doi.org/10.1016/S0012-9593(98)80136-5},
}
		

@article {MR1428871,
    AUTHOR = {Breuil, Christophe},
     TITLE = {Repr\'esentations {$p$}-adiques semi-stables et
              transversalit\'e de {G}riffiths},
   JOURNAL = {Math. Ann.},
  FJOURNAL = {Mathematische Annalen},
    VOLUME = {307},
      YEAR = {1997},
    NUMBER = {2},
     PAGES = {191--224},
      ISSN = {0025-5831},
     CODEN = {MAANA},
   MRCLASS = {14F30 (11F85)},
  MRNUMBER = {MR1428871 (98b:14016)},
MRREVIEWER = {Abdellah Mokrane},
       DOI = {10.1007/s002080050031},
       URL = {http://dx.doi.org/10.1007/s002080050031},
}
		

@article {MR1432059,
    AUTHOR = {Breuil, Christophe},
     TITLE = {Topologie log-syntomique, cohomologie log-cristalline et
              cohomologie de \v {C}ech},
   JOURNAL = {Bull. Soc. Math. France},
  FJOURNAL = {Bulletin de la Soci\'et\'e Math\'ematique de France},
    VOLUME = {124},
      YEAR = {1996},
    NUMBER = {4},
     PAGES = {587--647},
      ISSN = {0037-9484},
     CODEN = {BSMFAA},
   MRCLASS = {14F30 (14F20 14F40 14G15 14G20)},
  MRNUMBER = {MR1432059 (98d:14025)},
MRREVIEWER = {Adolfo Quir{\'o}s},
       DOI = {http://www.numdam.org/item?id=BSMF_1996__124_4_587_0},
       URL = {http://www.numdam.org/item?id=BSMF_1996__124_4_587_0},
}
	

@article {MR2388556,
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@unpublished {blggUn,
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TITLE = {Serre weights for {$U(n)$}},
NOTE = {J.\ Reine Angew.\ Math.\ (to appear)},
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@unpublished {caruso-thesis,
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@preamble{"\renewcommand{\MR}[1]{}"}.

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@unpublished {HuiGao,
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}

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MRREVIEWER = {Christine Noot-Huyghe},
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       URL = {http://dx.doi.org/10.1023/A:1000923331053},
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@article {MR719763,
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}
	

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	Pages = {xii+318},
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	Title = {The {L}anglands classification and irreducible characters for               real reductive groups},
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	Year = {1992}}

@article{guerberoff2009modularity,
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MRREVIEWER = {M. Ram Murty},
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@article {mb, 
AUTHOR={Moret-Bailly, L.},
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@incollection{MR546587,
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	Date-Added = {2008-08-07 08:45:53 -0400},
	Date-Modified = {2008-08-07 08:45:53 -0400},
	Mrclass = {20G15 (22E15)},
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	Publisher = {Amer. Math. Soc.},
	Series = {Proc. Sympos. Pure Math., XXXIII},
	Title = {Reductive groups},
	Year = {1979}}

@article{MR623137,
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	Mrclass = {10D40 (12A67 22E55)},
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	Volume = {103},
	Year = {1981}}

@unpublished{grossodd,
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	Note = {preprint},
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	Date-Modified = {2008-08-06 14:29:54 -0400},
	Year = {2007},
	Title = {Odd {G}alois Representations}}

@incollection{MR546620,
	Address = {Providence, R.I.},
	Author = {Deligne, Pierre},
	Booktitle = {Automorphic forms, representations and $L$-functions (Proc.               Sympos. Pure Math., Oregon State Univ., Corvallis, Ore.,               1977), Part 2},
	Date-Added = {2008-08-06 10:19:42 -0400},
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@book{MR2015057,
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	Year = {1979}}

@book{SGA3,
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@book{KnappOverviewExamples,
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	Isbn = {0-691-09089-0},
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	Note = {An overview based on examples,               Reprint of the 1986 original},
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	Publisher = {Princeton University Press},
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	Title = {Representation theory of semisimple groups},
	Year = {2001}}


@article{MR1329040,
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	Number = {2},
	Pages = {215--240},
	Title = {Rel\`evement selon une isog\'enie de syst\`emes {$l$}-adiques               de repr\'esentations galoisiennes associ\'es aux motifs},
	Volume = {120},
	Year = {1995}}

@article{arthur:note,
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@incollection{MR546607,
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	Series = {Proc. Sympos. Pure Math., XXXIII},
	Title = {Number theoretic background},
	Year = {1979}}

@book{MR1920389,
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	Edition = {Second},
	Isbn = {0-8176-4259-5},
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	Pages = {xviii+812},
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	Year = {2002}}

@book{MR1721403,
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	Pages = {xviii+260},
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	Year = {2000}}

@incollection{MR1216197,
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	Mrclass = {22E50 (11S37)},
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	Pages = {305--379},
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	Title = {The local {L}anglands conjecture},
	Volume = {145},
	Year = {1993}}

@article{MR540901,
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	Coden = {CJMAAB},
	Date-Added = {2008-04-22 08:25:53 -0500},
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	Fjournal = {Canadian Journal of Mathematics. Journal Canadien de Math\'ematiques},
	Issn = {0008-414X},
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	Mrclass = {10D40 (12A67 22E50)},
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	Title = {Stable conjugacy: definitions and lemmas},
	Volume = {31},
	Year = {1979}}

@book{MR654325,
	Address = {Berlin},
	Author = {Deligne, Pierre and Milne, James S. and Ogus, Arthur and Shih, Kuang-yen},
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	Date-Modified = {2008-04-22 08:25:15 -0500},
	Isbn = {3-540-11174-3},
	Mrclass = {14Kxx (10D25 12A67 14A20 14F30 14K22)},
	Mrnumber = {MR654325 (84m:14046)},
	Pages = {ii+414},
	Publisher = {Springer-Verlag},
	Series = {Lecture Notes in Mathematics},
	Title = {Hodge cycles, motives, and {S}himura varieties},
	Volume = {900},
	Year = {1982}}

@book{steinberg,
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	Year = {1968}}

@incollection{MR546608,
	Address = {Providence, R.I.},
	Author = {Borel, A.},
	Booktitle = {Automorphic forms, representations and $L$-functions (Proc. Sympos. Pure Math., Oregon State Univ., Corvallis, Ore., 1977), Part 2},
	Date-Added = {2008-04-21 19:23:59 -0500},
	Date-Modified = {2008-04-21 19:23:59 -0500},
	Mrclass = {10D40 (12A67 22E50)},
	Mrnumber = {MR546608 (81m:10056)},
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	Pages = {27--61},
	Publisher = {Amer. Math. Soc.},
	Series = {Proc. Sympos. Pure Math., XXXIII},
	Title = {Automorphic {$L$}-functions},
	Year = {1979}}

@incollection{MR1011897,
	Address = {Providence, RI},
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	Date-Added = {2008-04-21 19:23:22 -0500},
	Date-Modified = {2008-04-21 19:23:22 -0500},
	Mrclass = {22E45 (22E46)},
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	Publisher = {Amer. Math. Soc.},
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	Title = {On the classification of irreducible representations of real algebraic groups},
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@incollection{MR1044819,
	Address = {Boston, MA},
	Author = {Clozel, Laurent},
	Booktitle = {Automorphic forms, Shimura varieties, and $L$-functions, Vol.\ I (Ann Arbor, MI, 1988)},
	Date-Added = {2008-04-21 19:22:10 -0500},
	Date-Modified = {2008-04-21 19:22:10 -0500},
	Mrclass = {11F70 (11F75 11F80 11R39 22E55)},
	Mrnumber = {MR1044819 (91k:11042)},
	Mrreviewer = {Ernst-Wilhelm Zink},
	Pages = {77--159},
	Publisher = {Academic Press},
	Series = {Perspect. Math.},
	Title = {Motifs et formes automorphes: applications du principe de fonctorialit\'e},
	Volume = {10},
	Year = {1990}}

@article{berger-li-zhu,
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	Date-Added = {2008-04-02 09:03:52 -0600},
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	Pages = {365--377},
	Title = {Construction of some families of 2-dimensional crystalline representations},
	Volume = {329},
	Year = {2004}}

@article{MR516060,
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	Date-Added = {2008-03-14 08:10:05 -0500},
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	Fjournal = {Mathematische Annalen},
	Issn = {0025-5831},
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	Mrclass = {10D15},
	Mrnumber = {MR516060 (80b:10037)},
	Mrreviewer = {Roy Fuller},
	Number = {1},
	Pages = {75--96},
	Title = {Eigenvalues of {H}ecke operators on {${\rm SL}(2,\,{\bf Z})$}},
	Volume = {239},
	Year = {1979}}

@article{breuil-mezard,
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	Coden = {DUMJAO},
	Date-Added = {2008-03-11 16:12:27 -0500},
	Date-Modified = {2008-03-11 16:12:37 -0500},
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	Mrnumber = {MR1944572 (2004i:11052)},
	Mrreviewer = {Jacques Tilouine},
	Note = {With an appendix by Guy Henniart},
	Number = {2},
	Pages = {205--310},
	Title = {Multiplicit\'es modulaires et repr\'esentations de {${\GL}_2({\Z}_p)$} et de {${\Gal}(\overline{\Q}_p/{\Q}_p)$} en {$l=p$}},
	Volume = {115},
	Year = {2002}}

@article{barthel-livne,
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	Coden = {DUMJAO},
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	Fjournal = {Duke Mathematical Journal},
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	Mrclass = {22E50 (11F70)},
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	Mrreviewer = {David Goldberg},
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	Pages = {261--292},
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	Volume = {75},
	Year = {1994}}

@article{berger-breuil,
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	Title = {Sur quelques repr{\'e}sentations potentiellement cristallines de $\operatorname{GL}_2(\mathbb{Q}_p)$},
	Year = {2008}}

@article{edix:weights,
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	Year = {1992}}

@article{coleman-edixhoven,
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	Volume = {310},
	Year = {1998}}

@article{deligne-serre,
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	Pages = {507--530 (1975)},
	Title = {Formes modulaires de poids {$1$}},
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	Year = {1974}}

@article{wiles-inv,
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@article{breuil2,
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@unpublished{pjw,
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@unpublished{snw,
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@unpublished{sorensen,
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@unpublished{zhu,
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  MRNUMBER = {2601613 (2011e:11099)},
MRREVIEWER = {Ian Kiming},
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       URL = {http://dx.doi.org/10.1090/S0002-9947-10-05100-7},
}
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}
@unpublished {gee-geraghty-quaternion,
    AUTHOR = {Gee, Toby and Geraghty, David},
     TITLE = {The {B}reuil--{M}\'ezard Conjecture for quaternion algebras},
	Note = {Ann. Inst. Fourier (to appear)},
	YEAR = {2013},
}

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       URL = {http://dx.doi.org/10.1007/s00222-014-0517-0},
}
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}

@article {MR1643625,
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       URL = {http://dx.doi.org/10.1155/S1073792898000531},
}
@article {MR2887610,
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       URL = {http://dx.doi.org/10.1016/j.jnt.2011.09.010},
}
@incollection {MR1696481,
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     TITLE = {On the {S}atake isomorphism},
 BOOKTITLE = {Galois representations in arithmetic algebraic geometry
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 PUBLISHER = {Cambridge Univ. Press, Cambridge},
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       URL = {http://dx.doi.org/10.1017/CBO9780511662010.006},
}
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     TITLE = {The asymptotic growth of torsion homology for arithmetic
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       URL = {http://dx.doi.org/10.1017/S1474748012000667},
}
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@incollection {MR1299740,
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       URL = {http://dx.doi.org/10.1090/conm/174/01857},
}
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     PAGES = {iv+728},
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MRREVIEWER = {James Milne},
}

@article {MR826158,
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              systems of {H}ecke eigenvalues},
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MRREVIEWER = {K. Vogtmann},
}
@article {MR0419403,
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     TITLE = {A modular construction of unramified {$p$}-extensions
              of {$\mathbb{Q}(\mu _{p})$}},
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MRREVIEWER = {V. V. Sokurov},
}
@article{hu2013breuil,
  title={The {B}reuil--{M}\'ezard conjecture for non-scalar split residual representations},
  author={Hu, Yongquan and Tan, Fucheng},
  journal={arXiv preprint arXiv:1309.1658},
  year={2013}
}
@incollection {MR2905536,
    AUTHOR = {Calegari, Frank and Emerton, Matthew},
     TITLE = {Completed cohomology---a survey},
 BOOKTITLE = {Non-abelian fundamental groups and {I}wasawa theory},
    SERIES = {London Math. Soc. Lecture Note Ser.},
    VOLUME = {393},
     PAGES = {239--257},
 PUBLISHER = {Cambridge Univ. Press, Cambridge},
      YEAR = {2012},
   MRCLASS = {11F85 (11F70 11F75)},
  MRNUMBER = {2905536},
MRREVIEWER = {Neven Grbac},
}
@unpublished {CEGSKisinwithdd,
    AUTHOR = {Caraiani, Ana and Emerton, Matthew and Gee, Toby and Savitt, David},
     TITLE = {Moduli stacks of tamely potentially {B}arsotti--{T}ate {G}alois representations},
     NOTE = {In preparation},
}		


@article{emertongeeproper,
    AUTHOR = {Emerton, Matthew and Gee, Toby},
     TITLE = {`{S}cheme-theoretic images' of morphisms of stacks},
   JOURNAL = {Algebr. Geom.},
  FJOURNAL = {Algebraic Geometry},
    VOLUME = {8},
      YEAR = {2021},
    NUMBER = {1},
     PAGES = {1--132},
      ISSN = {2313-1691},
   MRCLASS = {14D23},
  MRNUMBER = {4174286},
MRREVIEWER = {Hsian-Hua Tseng},
       DOI = {10.14231/ag-2021-001},
       URL = {https://doi.org/10.14231/ag-2021-001},
}



@unpublished{ceggps,
 AUTHOR = {Caraiani, Ana and Matthew Emerton and Toby Gee and David Geraghty and Vytautas Pa{\v{s}}k{\=u}nas and Sug Woo Shun},
 TITLE = {{Patching and the $p$-adic local Langlands correspondence}},
 NOTE = {To appear, Cambridge Journal of Math}
} 


@unpublished{DYang2025ample,
  TITLE={Positivity of automorphic vector bundles on unitary Shimura varieties},
  author={Yang, Deding},
    note={preprint},
  year={2025}
}

@unpublished{SYang2025geometric,
  title={Geometric modularity for real quadratic fields},
  author={Yang, Siqi},
  note={arXiv preprint arXiv:2501.13585},
  year={2025}
}

@unpublished{NewtonYoshida,
 AUTHOR = {Newton, James and Teruyoshi Yoshida},
 TITLE = {{Shimura curves, the Drinfeld curve and Serre weights}},
 NOTE = {preprint},
 YEAR = {2014},
}


@unpublished{PaskunasBM,
 AUTHOR = {Pa{\v{s}}k{\=u}nas, Vytautas},
TITLE = {{On the Breuil--M\'ezard conjecture}},
 NOTE = {preprint},
 YEAR = {2012},
}

@unpublished{HuTan,
 AUTHOR = {Hu, Yongquan and Fucheng Tan},
 TITLE = {{The Breuil--M\'ezard conjecture for non-scalar split residual representations}},
 NOTE = {preprint},
 YEAR = {2013},
}

@unpublished{sandermultiplicities,
 AUTHOR = {Sander, Fabian},
 TITLE = {{H}ilbert--{S}amuel multiplicities of certain deformation rings},
 NOTE = {preprint available at {\tt http://arxiv.org/abs/1212.4978}},
 YEAR = {2012},
}

@article{breuillatticconj,
    AUTHOR = {Breuil, Christophe},
JOURNAL = {J. Reine Angew. Math.},
     TITLE = {Sur un probl\`eme de compatibilit\'e local-global modulo $p$ pour $\operatorname{GL}_2$},
      YEAR = {2014},
	  PAGES = {1--76},
	  VOLUME = {692},	  
}


@unpublished {HuiGao,
 AUTHOR = {Gao, Hui},
 TITLE = {Galois lattices and strongly divisible lattices in the unipotent case},
 NOTE = {Preprint, 2012},
}

@unpublished{GLLS,
 AUTHOR = {Gee, Toby and Imre Leader and Tong Liu and James Newton and David Savitt},
 TITLE = {An extension of a theorem of {F}ontaine--{L}affaille},
 NOTE = {in preparation},
}

@article {DiamondSavitt,
    AUTHOR = {Diamond, Fred and Savitt, David},
     TITLE = {Serre weights for locally reducible two-dimensional {G}alois
              representations},
   JOURNAL = {J. Inst. Math. Jussieu},
  FJOURNAL = {Journal of the Institute of Mathematics of Jussieu. JIMJ.
              Journal de l'Institut de Math\'ematiques de Jussieu},
    VOLUME = {14},
      YEAR = {2015},
    NUMBER = {3},
     PAGES = {639--672},
      ISSN = {1474-7480},
   MRCLASS = {11F80},
  MRNUMBER = {3352531},
MRREVIEWER = {Mehmet Haluk {\c{S}}eng{\"u}n},
       DOI = {10.1017/S1474748014000164},
       URL = {http://dx.doi.org/10.1017/S1474748014000164},
}

@article{HerzigTilouine,
   AUTHOR = {Herzig, Florian and Tilouine, Jacques},
     TITLE = {Conjecture de type de {S}erre et formes compagnons pour {$\rm
              GSp\sb 4$}},
   JOURNAL = {J. Reine Angew. Math.},
  FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik. [Crelle's
              Journal]},
    VOLUME = {676},
      YEAR = {2013},
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      ISSN = {0075-4102},
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  MRNUMBER = {3028753},
       DOI = {10.1515/CRELLE.2011.190},
       URL = {http://dx.doi.org/10.1515/CRELLE.2011.190},
}

@unpublished{EmertonGeeGeometric,
AUTHOR = {Emerton, Matthew and Toby Gee},
TITLE = {A geometric persective on the {B}reuil--{M}\'ezard conjecture},
NOTE = {J.\ Inst.\ Math.\ Jussieu, to appear},
}


	
@article {Newton,
    AUTHOR = {Newton, James},
     TITLE = {Serre weights and {S}himura curves},
   JOURNAL = {Proc. Lond. Math. Soc. (3)},
  FJOURNAL = {Proceedings of the London Mathematical Society. Third Series},
    VOLUME = {108},
      YEAR = {2014},
    NUMBER = {6},
     PAGES = {1471--1500},
      ISSN = {0024-6115},
   MRCLASS = {11F41 (11F33 11F80)},
  MRNUMBER = {3218316},
       DOI = {10.1112/plms/pdt056},
       URL = {http://dx.doi.org/10.1112/plms/pdt056},
}


@unpublished{conradlifting,
 AUTHOR = {Conrad, Brian},
 TITLE = {Lifting global representations with local properties},
 NOTE = {preprint},
 YEAR = {2011},
}


@unpublished{liu2-divisible,
 AUTHOR = {Liu, Tong},
 TITLE = {The correspondence between {B}arsotti-{T}ate groups and {K}isin modules when $p=2$},
 NOTE = {J. Th\'eor. Nombres Bordeaux, to appear},
}


@unpublished {LiuFiltration,
 AUTHOR = {Liu, Tong},
  TITLE = {Filtration associated to torsion semi-stable representations},
  NOTE = {preprint},
   YEAR = {2007},
 }


@article {BLGGT,
    AUTHOR = {Barnet-Lamb, Thomas and Gee, Toby and Geraghty, David and
              Taylor, Richard},
     TITLE = {Potential automorphy and change of weight},
   JOURNAL = {Ann. of Math. (2)},
  FJOURNAL = {Annals of Mathematics. Second Series},
    VOLUME = {179},
      YEAR = {2014},
    NUMBER = {2},
     PAGES = {501--609},
      ISSN = {0003-486X},
   MRCLASS = {11F33},
  MRNUMBER = {3152941},
MRREVIEWER = {Wen-Wei Li},
       DOI = {10.4007/annals.2014.179.2.3},
       URL = {http://dx.doi.org/10.4007/annals.2014.179.2.3},
}



%%%%%%%%%%%%%%%%%%%%%
%%% PUBLISHED OR OTHERWISE FINAL

@article {MR2931521,
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     TITLE = {Towards a modulo {$p$} {L}anglands correspondence for {${\rm
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  MRNUMBER = {2931521},
MRREVIEWER = {Gabor Wiese},
       DOI = {10.1090/S0065-9266-2011-00623-4},
       URL = {http://dx.doi.org/10.1090/S0065-9266-2011-00623-4},
}

@article {jack,
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              small residual image},
      NOTE = {With an appendix by Robert Guralnick, Florian Herzig, Richard
              Taylor and Thorne},
   JOURNAL = {J. Inst. Math. Jussieu},
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      YEAR = {2012},
    NUMBER = {4},
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      ISSN = {1474-7480},
   MRCLASS = {11F80 (11R34)},
  MRNUMBER = {2979825},
MRREVIEWER = {Fausto Jarqu{\'{\i}}n Z{\'a}rate},
       DOI = {10.1017/S1474748012000023},
       URL = {http://dx.doi.org/10.1017/S1474748012000023},
}


@article {liulattice12,
    AUTHOR = {Liu, Tong},
     TITLE = {Lattices in filtered {$(\phi,N)$}-modules},
   JOURNAL = {J. Inst. Math. Jussieu},
  FJOURNAL = {Journal of the Institute of Mathematics of Jussieu. JIMJ.
              Journal de l'Institut de Math\'ematiques de Jussieu},
    VOLUME = {11},
      YEAR = {2012},
    NUMBER = {3},
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      ISSN = {1474-7480},
   MRCLASS = {14F30 (14L05)},
  MRNUMBER = {2931320},
       DOI = {10.1017/S1474748011000235},
       URL = {http://dx.doi.org/10.1017/S1474748011000235},
}

@unpublished{ZhuUnramified,
 AUTHOR = {Zhu, Hui June},
 TITLE = {Crystalline representations of ${G}_{\Q_{p^a}}$ with coefficients},
 NOTE = {Preprint, 2008},
}

@article {EGH,
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  FJOURNAL = {Duke Mathematical Journal},
    VOLUME = {162},
      YEAR = {2013},
    NUMBER = {9},
     PAGES = {1649--1722},
      ISSN = {0012-7094},
     CODEN = {DUMJAO},
   MRCLASS = {Preliminary Data},
  MRNUMBER = {3079258},
       DOI = {10.1215/00127094-2266365},
       URL = {http://dx.doi.org/10.1215/00127094-2266365},
}

@unpublished {BreuilUnpublished,
 AUTHOR = {Breuil, Christophe},
  TITLE = {Sch\'emas en groupes et corps des normes},
  NOTE = {unpublished},
  YEAR = {1998},
}

@article{DiamondMultiplicityOne,
    AUTHOR = {Diamond, Fred},
     TITLE = {The {T}aylor-{W}iles construction and multiplicity one},
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  FJOURNAL = {Inventiones Mathematicae},
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      YEAR = {1997},
    NUMBER = {2},
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      ISSN = {0020-9910},
     CODEN = {INVMBH},
   MRCLASS = {11F80 (11G18 13C15 14F25)},
  MRNUMBER = {1440309 (98c:11047)},
MRREVIEWER = {Ian Kiming},
       DOI = {10.1007/s002220050144},
       URL = {http://dx.doi.org/10.1007/s002220050144},
}

@article {BreuilGriffith,
    AUTHOR = {Breuil, Christophe},
     TITLE = {Repr\'esentations {$p$}-adiques semi-stables et
              transversalit\'e de {G}riffiths},
   JOURNAL = {Math. Ann.},
  FJOURNAL = {Mathematische Annalen},
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      YEAR = {1997},
    NUMBER = {2},
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      ISSN = {0025-5831},
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   MRCLASS = {14F30 (11F85)},
       DOI = {10.1007/s002080050031},
       URL = {http://dx.doi.org/10.1007/s002080050031},
}



@article {bdj,
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     TITLE = {On {S}erre's conjecture for mod {$l$} {G}alois representations over totally real fields},
   JOURNAL = {Duke Math. J.},
  FJOURNAL = {Duke Mathematical Journal},
    VOLUME = {155},
      YEAR = {2010},
    NUMBER = {1},
     PAGES = {105--161},
}



@incollection {nekovar,
    AUTHOR = {Nekov{\'a}{\v{r}}, Jan},
     TITLE = {On {$p$}-adic height pairings},
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    SERIES = {Progr. Math.},
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 PUBLISHER = {Birkh\"auser Boston},
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      YEAR = {1993},
   MRCLASS = {11G09 (11F85 14F30)},
  MRNUMBER = {MR1263527 (95j:11050)},
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}

@article{blggord,
    AUTHOR = {Barnet-Lamb, Tom and Gee, Toby and Geraghty, David},
     TITLE = {Congruences between {H}ilbert modular forms: constructing ordinary lifts},
JOURNAL = {Duke Math Journal (to appear)},
      YEAR = 2012,
}
@article {MR2745686,
    AUTHOR = {Dousmanis, Gerasimos},
     TITLE = {On reductions of families of crystalline {G}alois
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   JOURNAL = {Doc. Math.},
  FJOURNAL = {Documenta Mathematica},
    VOLUME = {15},
      YEAR = {2010},
     PAGES = {873--938},
      ISSN = {1431-0635},
   MRCLASS = {11F80 (11F85)},
  MRNUMBER = {2745686},
}
	
@misc{0807.1078,
Author = {Hui June Zhu},
Title = {Crystalline representations of {${G}_{\mathbb{Q}_{p^a}}$} with coefficients},
Year = 2008,
Eprint = {arXiv:0807.1078},
}
@article {MR2776609,
    AUTHOR = {Chang, Seunghwan and Diamond, Fred},
     TITLE = {Extensions of rank one {$(\phi,\Gamma)$}-modules and
              crystalline representations},
   JOURNAL = {Compos. Math.},
  FJOURNAL = {Compositio Mathematica},
    VOLUME = {147},
      YEAR = {2011},
    NUMBER = {2},
     PAGES = {375--427},
      ISSN = {0010-437X},
   MRCLASS = {11S25 (11F85)},
  MRNUMBER = {2776609},
MRREVIEWER = {Gabor Wiese},
}

@article {MR1695849,
    AUTHOR = {Breuil, Christophe},
     TITLE = {Une application de corps des normes},
   JOURNAL = {Compositio Math.},
  FJOURNAL = {Compositio Mathematica},
    VOLUME = {117},
      YEAR = {1999},
    NUMBER = {2},
     PAGES = {189--203},
      ISSN = {0010-437X},
     CODEN = {CMPMAF},
   MRCLASS = {11S23 (14F30 14F40 14L05)},
  MRNUMBER = {1695849 (2000f:11157)},
MRREVIEWER = {Christine Noot-Huyghe},
       DOI = {10.1023/A:1000923331053},
       URL = {http://dx.doi.org/10.1023/A:1000923331053},
}


@article{GeeSavittQuaternionAlgebras,
    AUTHOR = {Gee, Toby and Savitt, David},
     TITLE = {Serre weights for quaternion algebras},
   JOURNAL = {Compos. Math.},
  FJOURNAL = {Compositio Mathematica},
    VOLUME = {147},
      YEAR = {2011},
    NUMBER = {4},
     PAGES = {1059--1086},
      ISSN = {0010-437X},
   MRCLASS = {11F33 (11F80)},
  MRNUMBER = {2822861 (2012h:11070)},
MRREVIEWER = {Neil P. Dummigan},
       DOI = {10.1112/S0010437X1000518X},
       URL = {http://dx.doi.org/10.1112/S0010437X1000518X},
}

@article {AshStevens,
    AUTHOR = {Ash, Avner and Stevens, Glenn},
     TITLE = {Cohomology of arithmetic groups and congruences between
              systems of {H}ecke eigenvalues},
   JOURNAL = {J. Reine Angew. Math.},
  FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik},
    VOLUME = {365},
      YEAR = {1986},
     PAGES = {192--220},
}

@article{ChangDiamond,
    AUTHOR = {Chang, Seunghwan and Diamond, Fred},
     TITLE = {Extensions of rank one {$(\phi,\Gamma)$}-modules and
              crystalline representations},
   JOURNAL = {Compos. Math.},
  FJOURNAL = {Compositio Mathematica},
    VOLUME = {147},
      YEAR = {2011},
    NUMBER = {2},
     PAGES = {375--427},
      ISSN = {0010-437X},
   MRCLASS = {11S25 (11F85)},
  MRNUMBER = {2776609 (2012f:11228)},
MRREVIEWER = {Gabor Wiese},
       DOI = {10.1112/S0010437X1000504X},
       URL = {http://dx.doi.org/10.1112/S0010437X1000504X},
}


@inproceedings {KisinICM,
    AUTHOR = {Kisin, Mark},
     TITLE = {The structure of potentially semi-stable deformation rings},
 BOOKTITLE = {Proceedings of the {I}nternational {C}ongress of
              {M}athematicians. {V}olume {II}},
     PAGES = {294--311},
 PUBLISHER = {Hindustan Book Agency},
   ADDRESS = {New Delhi},
      YEAR = {2010},
   MRCLASS = {11F80 (11F33 11S20)},
  MRNUMBER = {2827797 (2012m:11071)},
MRREVIEWER = {Gabor Wiese},
}

@article {PaskunasUnicity,
    AUTHOR = {Paskunas, Vytautas},
     TITLE = {Unicity of types for supercuspidal representations of {${\rm
              GL}\sb N$}},
   JOURNAL = {Proc. London Math. Soc. (3)},
  FJOURNAL = {Proceedings of the London Mathematical Society. Third Series},
    VOLUME = {91},
      YEAR = {2005},
    NUMBER = {3},
     PAGES = {623--654},
}

@article{BergerBreuil,
    AUTHOR = {Berger, Laurent and Breuil, Christophe},
     TITLE = {Sur quelques repr\'esentations potentiellement cristallines de
              {${\rm GL}\sb 2(\bold Q\sb p)$}},
   JOURNAL = {Ast\'erisque},
  FJOURNAL = {Ast\'erisque},
    NUMBER = {330},
      YEAR = {2010},
     PAGES = {155--211},
      ISSN = {0303-1179},
      ISBN = {978-2-85629-281-5},
   MRCLASS = {11F70 (11S37 22E50)},
  MRNUMBER = {2642406 (2012i:11053)},
}

@article {BuzzardGee,
    AUTHOR = {Buzzard, Kevin and Gee, Toby},
     TITLE = {Explicit reduction modulo {$p$} of certain two-dimensional
              crystalline representations},
   JOURNAL = {Int. Math. Res. Not. IMRN},
  FJOURNAL = {International Mathematics Research Notices. IMRN},
      YEAR = {2009},
    NUMBER = {12},
     PAGES = {2303--2317},
}

@article {MR2906353,
    AUTHOR = {Berger, Laurent},
     TITLE = {La correspondance de {L}anglands locale {$p$}-adique pour
              {${\rm GL}_2({\bf Q}_p)$}},
      NOTE = {S{\'e}minaire Bourbaki. Vol. 2009/2010. Expos{\'e}s
              1012--1026},
   JOURNAL = {Ast\'erisque},
  FJOURNAL = {Ast\'erisque},
    NUMBER = {339},
      YEAR = {2011},
     PAGES = {Exp. No. 1017, viii, 157--180},
      ISSN = {0303-1179},
      ISBN = {978-2-85629-326-3},
   MRCLASS = {11S37 (11F70 11F85 22E50)},
  MRNUMBER = {2906353 (2012k:11186)},
MRREVIEWER = {B. Sury},
}


@article {MR2373358,
    AUTHOR = {Kisin, Mark},
     TITLE = {Potentially semi-stable deformation rings},
   JOURNAL = {J. Amer. Math. Soc.},
  FJOURNAL = {Journal of the American Mathematical Society},
    VOLUME = {21},
      YEAR = {2008},
    NUMBER = {2},
     PAGES = {513--546},
      ISSN = {0894-0347},
   MRCLASS = {11S20 (11F80)},
  MRNUMBER = {2373358 (2009c:11194)},
MRREVIEWER = {Laurent N. Berger},
       DOI = {10.1090/S0894-0347-07-00576-0},
       URL = {http://dx.doi.org/10.1090/S0894-0347-07-00576-0},
}

@article {MR2388556,
    AUTHOR = {Liu, Tong},
     TITLE = {On lattices in semi-stable representations: a proof of a
              conjecture of {B}reuil},
   JOURNAL = {Compos. Math.},
  FJOURNAL = {Compositio Mathematica},
    VOLUME = {144},
      YEAR = {2008},
    NUMBER = {1},
     PAGES = {61--88},
      ISSN = {0010-437X},
   MRCLASS = {14L05 (14F30)},
  MRNUMBER = {2388556 (2009c:14087)},
MRREVIEWER = {Adrian Vasiu},
       DOI = {10.1112/S0010437X0700317X},
       URL = {http://dx.doi.org/10.1112/S0010437X0700317X},
}

@article {MR1293971,
    AUTHOR = {Fontaine, Jean-Marc},
     TITLE = {Le corps des p\'eriodes {$p$}-adiques},
      NOTE = {With an appendix by Pierre Colmez,
              P{\'e}riodes $p$-adiques (Bures-sur-Yvette, 1988)},
   JOURNAL = {Ast\'erisque},
  FJOURNAL = {Ast\'erisque},
    NUMBER = {223},
      YEAR = {1994},
     PAGES = {59--111},
      ISSN = {0303-1179},
   MRCLASS = {11G25 (14F20 14F30 14F40)},
  MRNUMBER = {1293971 (95k:11086)},
MRREVIEWER = {Adolfo Quir{\'o}s},
}

@article {liu-Fontaine,
    AUTHOR = {Liu, Tong },
     TITLE = {Torsion $p$-adic {G}alois representations and a conjecture of {F}ontaine,},
   JOURNAL = {Ann. Sci. \'Ecole Norm. Sup. (4)},
  FJOURNAL = {Annales Scientifiques de l'\'Ecole Normale Sup\'erieure.
              Quatri\`eme S\'erie},
    VOLUME = {40},
      YEAR = {2007},
    NUMBER = {4},
     PAGES = {633--674},
      ISSN = {0012-9593},
     CODEN = {ASENAH},
   MRCLASS = {11F85 (11F80 22E50)}
    }

@article {LiuLattices,
 AUTHOR = {Liu, Tong },
     TITLE = {A note on lattices in semi-stable representations},
     JOURNAL = {Mathematische Annalen},
     VOLUME = {346},
      YEAR = {2010},
    NUMBER = {1},
     PAGES = {117--138},
    }

@article {Car-Liu,
    AUTHOR = {Caruso, Xavier and Liu, Tong},
     TITLE = {Some bounds for ramification of {$p^n$}-torsion semi-stable
              representations},
   JOURNAL = {J. Algebra},
  FJOURNAL = {Journal of Algebra},
    VOLUME = {325},
      YEAR = {2011},
     PAGES = {70--96},
      ISSN = {0021-8693},
     CODEN = {JALGA4},
   MRCLASS = {11F85 (11F80 11S15 14F30)},
  MRNUMBER = {2745530 (2012b:11090)},
MRREVIEWER = {Francesc Castell{\`a}},
       DOI = {10.1016/j.jalgebra.2010.10.005},
       URL = {http://dx.doi.org/10.1016/j.jalgebra.2010.10.005},
}



@article{BergerCorresp,
   AUTHOR = {Berger, Laurent},
     TITLE = {Repr\'esentations modulaires de {${\rm GL}\sb 2(\bold Q\sb
              p)$} et repr\'esentations galoisiennes de dimension 2},
   JOURNAL = {Ast\'erisque},
  FJOURNAL = {Ast\'erisque},
    NUMBER = {330},
      YEAR = {2010},
     PAGES = {263--279},
      ISSN = {0303-1179},
      ISBN = {978-2-85629-281-5},
   MRCLASS = {11F80 (11F33 11F85 22E50)},
  MRNUMBER = {2642408 (2011g:11104)},
MRREVIEWER = {Gabor Wiese},
}

@article{KW1,
    AUTHOR = {Khare, Chandrashekhar and Wintenberger, Jean-Pierre},
     TITLE = {Serre's modularity conjecture. {I}},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {178},
      YEAR = {2009},
    NUMBER = {3},
     PAGES = {485--504},
      ISSN = {0020-9910},
     CODEN = {INVMBH},
   MRCLASS = {11F80 (11F11 11F33 11R39)},
  MRNUMBER = {2551763 (2010k:11087)},
MRREVIEWER = {Gabor Wiese},
       DOI = {10.1007/s00222-009-0205-7},
       URL = {http://dx.doi.org/10.1007/s00222-009-0205-7},
}

@article {KW2,
    AUTHOR = {Khare, Chandrashekhar and Wintenberger, Jean-Pierre},
     TITLE = {Serre's modularity conjecture. {II}},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {178},
      YEAR = {2009},
    NUMBER = {3},
     PAGES = {505--586},
      ISSN = {0020-9910},
     CODEN = {INVMBH},
   MRCLASS = {11F80 (11F11 11F33 11R39)},
  MRNUMBER = {2551764 (2010k:11088)},
MRREVIEWER = {Gabor Wiese},
       DOI = {10.1007/s00222-009-0206-6},
       URL = {http://dx.doi.org/10.1007/s00222-009-0206-6},
}

@article {ColmezMirabolique,
    AUTHOR = {Colmez, Pierre},
     TITLE = {{$(\phi,\Gamma)$}-modules et repr\'esentations du mirabolique
              de {${\rm GL}\sb 2(\bold Q\sb p)$}},
   JOURNAL = {Ast\'erisque},
  FJOURNAL = {Ast\'erisque},
    NUMBER = {330},
      YEAR = {2010},
     PAGES = {61--153},
      ISSN = {0303-1179},
      ISBN = {978-2-85629-281-5},
   MRCLASS = {11S37 (22E50)},
  MRNUMBER = {2642405 (2011i:11170)},
MRREVIEWER = {Fabrizio Andreatta},
}

 @article{ColmezPrincipale,
    AUTHOR = {Colmez, Pierre},
     TITLE = {La s\'erie principale unitaire de {${\rm GL}\sb 2(\bold Q\sb
              p)$}},
   JOURNAL = {Ast\'erisque},
  FJOURNAL = {Ast\'erisque},
    NUMBER = {330},
      YEAR = {2010},
     PAGES = {213--262},
      ISSN = {0303-1179},
      ISBN = {978-2-85629-281-5},
   MRCLASS = {22E50 (11F80 11F85 11S37)},
  MRNUMBER = {2642407 (2011g:22026)},
MRREVIEWER = {Laurent N. Berger},
}


@article{ColmezGL2,
    AUTHOR = {Colmez, Pierre},
     TITLE = {Repr\'esentations de {${\rm GL}\sb 2(\bold Q\sb p)$} et
              {$(\phi,\Gamma)$}-modules},
   JOURNAL = {Ast\'erisque},
  FJOURNAL = {Ast\'erisque},
    NUMBER = {330},
      YEAR = {2010},
     PAGES = {281--509},
      ISSN = {0303-1179},
      ISBN = {978-2-85629-281-5},
   MRCLASS = {11S37 (11F80)},
  MRNUMBER = {2642409 (2011j:11224)},
MRREVIEWER = {Fabrizio Andreatta},
}


@article{ColmezTriangulines,
    AUTHOR = {Colmez, Pierre},
     TITLE = {Repr\'esentations triangulines de dimension 2},
      NOTE = {Repr{\'e}sentations $p$-adiques de groupes $p$-adiques. I.
              Repr{\'e}sentations galoisiennes et $(\phi,\Gamma)$-modules},
   JOURNAL = {Ast\'erisque},
  FJOURNAL = {Ast\'erisque},
    NUMBER = {319},
      YEAR = {2008},
     PAGES = {213--258},
      ISSN = {0303-1179},
      ISBN = {978-2-85629-256-3},
   MRCLASS = {11S37 (11S23)},
  MRNUMBER = {2493219 (2010f:11173)},
MRREVIEWER = {Jan Nekov{\'a}{\v{r}}},
}

@article {CarusoThesis,
   AUTHOR = {Caruso, Xavier},
     TITLE = {Repr\'esentations semi-stables de torsion dans le case
              {$er<p-1$}},
   JOURNAL = {J. Reine Angew. Math.},
  FJOURNAL = {Journal f\"ur die Reine und Angewandte Mathematik},
    VOLUME = {594},
      YEAR = {2006},
     PAGES = {35--92},
      ISSN = {0075-4102},
     CODEN = {JRMAA8},
   MRCLASS = {11F85 (11G25 11S20 14F20 14F30 14F40)},
  MRNUMBER = {2248152 (2007d:11061)},
MRREVIEWER = {Yuichiro Taguchi},
       DOI = {10.1515/CRELLE.2006.035},
       URL = {http://dx.doi.org/10.1515/CRELLE.2006.035},
}


@article {GeePrescribed,
    AUTHOR = {Gee, Toby},
     TITLE = {Automorphic lifts of prescribed types},
   JOURNAL = {Math. Ann.},
  FJOURNAL = {Mathematische Annalen},
    VOLUME = {350},
      YEAR = {2011},
    NUMBER = {1},
     PAGES = {107--144},
      ISSN = {0025-5831},
     CODEN = {MAANA},
   MRCLASS = {11F80 (11F33 11F41)},
  MRNUMBER = {2785764 (2012c:11118)},
MRREVIEWER = {James Newton},
       DOI = {10.1007/s00208-010-0545-z},
       URL = {http://dx.doi.org/10.1007/s00208-010-0545-z},
}

@article {ScheinRamified ,
    AUTHOR = {Schein, Michael M.},
     TITLE = {Weights in {S}erre's conjecture for {H}ilbert modular forms:
              the ramified case},
   JOURNAL = {Israel J. Math.},
  FJOURNAL = {Israel Journal of Mathematics},
    VOLUME = {166},
      YEAR = {2008},
     PAGES = {369--391},
      ISSN = {0021-2172},
     CODEN = {ISJMAP},
   MRCLASS = {11F41},
  MRNUMBER = {2430440 (2009e:11090)},
MRREVIEWER = {John T. Cullinan},
       DOI = {10.1007/s11856-008-1035-9},
       URL = {http://dx.doi.org/10.1007/s11856-008-1035-9},
}


@article {HerzigThesis,
    AUTHOR = {Herzig, Florian},
     TITLE = {The weight in a {S}erre-type conjecture for tame
              {$n$}-dimensional {G}alois representations},
   JOURNAL = {Duke Math. J.},
  FJOURNAL = {Duke Mathematical Journal},
    VOLUME = {149},
      YEAR = {2009},
    NUMBER = {1},
     PAGES = {37--116},
      ISSN = {0012-7094},
     CODEN = {DUMJAO},
   MRCLASS = {11F80 (11F75 20C33)},
  MRNUMBER = {2541127 (2010f:11083)},
MRREVIEWER = {{\Dbar}{\cftil{o}} Ng{\d{o}}c Di{\cfudot{e}}p},
       DOI = {10.1215/00127094-2009-036},
       URL = {http://dx.doi.org/10.1215/00127094-2009-036},
}

@article {DousmanisFamilies,
   AUTHOR = {Dousmanis, Gerasimos},
     TITLE = {On reductions of families of crystalline {G}alois
              representations},
   JOURNAL = {Doc. Math.},
  FJOURNAL = {Documenta Mathematica},
    VOLUME = {15},
      YEAR = {2010},
     PAGES = {873--938},
      ISSN = {1431-0635},
   MRCLASS = {11F80 (11F85)},
  MRNUMBER = {2745686 (2012g:11104)},
MRREVIEWER = {Spencer Hamblen},
}

@article {CI2,
    AUTHOR = {Coleman, Robert and Iovita, Adrian},
     TITLE = {Hidden structures on semistable curves},
   JOURNAL = {Ast\'erisque},
  FJOURNAL = {Ast\'erisque},
    NUMBER = {331},
      YEAR = {2010},
     PAGES = {179--254},
      ISSN = {0303-1179},
      ISBN = {978-2-85629-282-2},
   MRCLASS = {11G30 (11F80 14F30)},
  MRNUMBER = {2667889 (2011g:11119)},
MRREVIEWER = {Hui June Zhu},
}


@article {KisinTwoAdic,
    AUTHOR = {Kisin, Mark},
     TITLE = {Modularity of 2-adic {B}arsotti-{T}ate representations},
   JOURNAL = {Invent. Math.},
  FJOURNAL = {Inventiones Mathematicae},
    VOLUME = {178},
      YEAR = {2009},
    NUMBER = {3},
     PAGES = {587--634},
      ISSN = {0020-9910},
     CODEN = {INVMBH},
   MRCLASS = {11F80 (11F41 14L15 14L30)},
  MRNUMBER = {2551765 (2010k:11089)},
MRREVIEWER = {Gabor Wiese},
       DOI = {10.1007/s00222-009-0207-5},
       URL = {http://dx.doi.org/10.1007/s00222-009-0207-5},
}

@article {KisinFM,
    AUTHOR = {Kisin, Mark},
     TITLE = {The {F}ontaine-{M}azur conjecture for {${\rm GL}\sb 2$}},
   JOURNAL = {J. Amer. Math. Soc.},
  FJOURNAL = {Journal of the American Mathematical Society},
    VOLUME = {22},
      YEAR = {2009},
    NUMBER = {3},
     PAGES = {641--690},
      ISSN = {0894-0347},
   MRCLASS = {11F80 (11F33)},
  MRNUMBER = {2505297 (2010j:11084)},
MRREVIEWER = {David L. Savitt},
       DOI = {10.1090/S0894-0347-09-00628-6},
       URL = {http://dx.doi.org/10.1090/S0894-0347-09-00628-6},
}


%%%%%%%%%%%%%%%%%
%%%% MY PAPERS
%%%%%%%%%%%%%%%%%%

@book {AWS2007,
 EDITOR = {David Savitt and Dinesh Thakur},
 TITLE = {$p$-adic {G}eometry: lectures from the 2007 {A}rizona {W}inter {S}chool},
 PUBLISHER = {American Mathematical Society},
 SERIES = {University Lecture Series 45},
 YEAR = {2008},
}


@article {SavittRaynaud,
 AUTHOR = {Savitt, David},
  TITLE = {Breuil modules for {R}aynaud schemes},
  JOURNAL = {J. Number Theory},
   VOLUME = {128},
    YEAR = {2008},
    PAGES = {2939--2950},
}

@article {CarusoSavitt,
    AUTHOR = {Caruso, Xavier and Savitt, David},
     TITLE = {Polygones de {H}odge, de {N}ewton et de l'inertie mod\'er\'ee
              des repr\'esentations semi-stables},
   JOURNAL = {Math. Ann.},
  FJOURNAL = {Mathematische Annalen},
    VOLUME = {343},
      YEAR = {2009},
    NUMBER = {4},
     PAGES = {773--789},
      ISSN = {0025-5831},
     CODEN = {MAANA},
   MRCLASS = {11S15 (14F30)},
  MRNUMBER = {2471600 (2010b:11155)},
MRREVIEWER = {Yuichiro Taguchi},
       DOI = {10.1007/s00208-008-0289-1},
       URL = {http://dx.doi.org/10.1007/s00208-008-0289-1},
}

@article {CarusoSavitt2,
   AUTHOR = {Caruso, Xavier and Savitt, David},
     TITLE = {Poids de l'inertie mod\'er\'ee de certaines repr\'esentations
              cristallines},
   JOURNAL = {J. Th\'eor. Nombres Bordeaux},
  FJOURNAL = {Journal de Th\'eorie des Nombres de Bordeaux},
    VOLUME = {22},
      YEAR = {2010},
    NUMBER = {1},
     PAGES = {79--96},
      ISSN = {1246-7405},
   MRCLASS = {11S23 (11F80 11F85 11S15 11S20 14F30)},
  MRNUMBER = {2675874 (2011m:11229)},
MRREVIEWER = {Adolfo Quir{\'o}s},
       URL = {http://jtnb.cedram.org/item?id=JTNB_2010__22_1_79_0},
}



@article {SavittAppendix,
    AUTHOR = {Tuffley, Christopher},
     TITLE = {Generalized knot groups distinguish the square and granny
              knots},
      NOTE = {With an appendix by David Savitt},
   JOURNAL = {J. Knot Theory Ramifications},
  FJOURNAL = {Journal of Knot Theory and its Ramifications},
    VOLUME = {18},
      YEAR = {2009},
    NUMBER = {8},
     PAGES = {1129--1157},
      ISSN = {0218-2165},
   MRCLASS = {57M27 (20F38)},
  MRNUMBER = {2554338 (2011b:57017)},
MRREVIEWER = {Alessia Cattabriga},
       DOI = {10.1142/S0218216509007385},
       URL = {http://dx.doi.org/10.1142/S0218216509007385},
}


@article {SavittNecklaces,
    AUTHOR = {Savitt, David},
     TITLE = {Polynomials, meanders, and paths in the lattice of noncrossing
              partitions},
   JOURNAL = {Trans. Amer. Math. Soc.},
  FJOURNAL = {Transactions of the American Mathematical Society},
    VOLUME = {361},
      YEAR = {2009},
    NUMBER = {6},
     PAGES = {3083--3107},
      ISSN = {0002-9947},
     CODEN = {TAMTAM},
   MRCLASS = {05A18 (05C70 14P25)},
  MRNUMBER = {2485419 (2011c:05040)},
MRREVIEWER = {Alexander Zvonkin},
       DOI = {10.1090/S0002-9947-08-04579-0},
       URL = {http://dx.doi.org/10.1090/S0002-9947-08-04579-0},
}

@article{HarmonicCurves,
  AUTHOR = {Martin, Jeremy L. and David Savitt and Ted Singer},
   TITLE = {Harmonic algebraic curves and noncrossing partitions},
 JOURNAL = {Disc. and Comp. Geom.},
  VOLUME = {37},
    YEAR = {2007},
    NUMBER = {2},
    PAGES = {267--286},
    }


@article {SavittDuke,
    AUTHOR = {Savitt, David},
     TITLE = {On a conjecture of {C}onrad, {D}iamond, and {T}aylor},
   JOURNAL = {Duke Math. J.},
  FJOURNAL = {Duke Mathematical Journal},
    VOLUME = {128},
      YEAR = {2005},
    NUMBER = {1},
     PAGES = {141--197},
}


@article {SavittCompositio,
    AUTHOR = {Savitt, David},
     TITLE = {Modularity of some potentially {B}arsotti-{T}ate {G}alois
              representations},
   JOURNAL = {Compos. Math.},
  FJOURNAL = {Compositio Mathematica},
    VOLUME = {140},
      YEAR = {2004},
    NUMBER = {1},
     PAGES = {31--63},
}

@article {SavittLauter,
    AUTHOR = {Savitt, David},
     TITLE = {The maximum number of points on a curve of genus 4 over
              {${\mathbb F}\sb 8$} is 25},
      NOTE = {With an appendix by Kristin Lauter},
   JOURNAL = {Canad. J. Math.},
    VOLUME = {55},
      YEAR = {2003},
    NUMBER = {2},
     PAGES = {331--352},
}

@article {SavittStanley,
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     TITLE = {A note on the symmetric powers of the standard representation
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   JOURNAL = {Electron. J. Combin.},
    VOLUME = {7},
      YEAR = {2000},
     PAGES = {Research Paper 6, 8 pp. (electronic)},
}


%%%%%%%%%%%%%%%%%%%%%%%%%
%%   PUBLISHED OR OTHERWISE FINISHED PAPERS
%%%%%%%%%%%%%%%%%%%%%%%%%


@article {MR1468834,
    AUTHOR = {Wach, Nathalie},
     TITLE = {Repr\'esentations cristallines de torsion},
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      YEAR = {1997},
    NUMBER = {2},
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      ISSN = {0010-437X},
     CODEN = {CMPMAF},
   MRCLASS = {11S23 (14F30 14L05)},
  MRNUMBER = {1468834 (98j:11112)},
MRREVIEWER = {Abdellah Mokrane},
       DOI = {10.1023/A:1000108818774},
       URL = {http://dx.doi.org/10.1023/A:1000108818774},
}


@article {ADP,
    AUTHOR = {Ash, Avner and Doud, Darrin and Pollack, David},
     TITLE = {Galois representations with conjectural connections to
              arithmetic cohomology},
   JOURNAL = {Duke Math. J.},
  FJOURNAL = {Duke Mathematical Journal},
    VOLUME = {112},
      YEAR = {2002},
    NUMBER = {3},
     PAGES = {521--579},
}
		
@article {APS,
    AUTHOR = {Ash, A. and Pollack, D. and Sinnott, W.},
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              cohomology of {${\rm GL}\sb 3(\mathbb{Z})$}},
   JOURNAL = {J. Number Theory},
  FJOURNAL = {Journal of Number Theory},
    VOLUME = {115},
      YEAR = {2005},
    NUMBER = {1},
     PAGES = {176--196},
}
				
		
@article {AshSinnott,
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     TITLE = {An analogue of {S}erre's conjecture for {G}alois
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   JOURNAL = {Duke Math. J.},
  FJOURNAL = {Duke Mathematical Journal},
    VOLUME = {105},
      YEAR = {2000},
    NUMBER = {1},
     PAGES = {1--24},
}

@article{BarthelLivneJNT,
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   YEAR = {1995},
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  PAGES = {1--27},
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@article{BarthelLivneDuke,
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   TITLE = {Irreducible modular representations of ${\rm GL}_2$ of a local field},
  JOURNAL = {Duke Math J.},
  VOLUME = {75},
   YEAR = {1994},
 NUMBER = {2},
  PAGES = {261--292}
}

%%%%%%%%%%%%%%%%%%%
%%% LAURENT BERGER

@article{BergerInvent,
    AUTHOR = {Berger, Laurent},
     TITLE = {Repr\'esentations {$p$}-adiques et \'equations
              diff\'erentielles},
   JOURNAL = {Invent. Math.},
    VOLUME = {148},
      YEAR = {2002},
    NUMBER = {2},
     PAGES = {219--284},
}

@article {BLZ,
    AUTHOR = {Berger, Laurent and Li, Hanfeng and Zhu, Hui June},
     TITLE = {Construction of some families of 2-dimensional crystalline
              representations},
   JOURNAL = {Math. Ann.},
    VOLUME = {329},
      YEAR = {2004},
    NUMBER = {2},
     PAGES = {365--377},
}

%%%%%%%%%%%%%%%%%%
%%%% CHRISTOPHE BREUIL - START
%%%%%%%%%%%%%%%%%%

@article {BreuilGL2I,
    AUTHOR = {Breuil, Christophe},
     TITLE = {Sur quelques repr\'esentations modulaires et {$p$}-adiques de
              {${\rm GL}\sb 2(\mathbf Q\sb p)$}. {I}},
  JOURNAL = {Compositio Math.},
   VOLUME = {138},
   YEAR = {2003},
  NUMBER = {2},
  PAGES = {165--188},
}

@article {BreuilGL2II,
    AUTHOR = {Breuil, Christophe},
     TITLE = {Sur quelques repr\'esentations modulaires et {$p$}-adiques de
              {${\rm GL}\sb 2(\mathbf Q\sb p)$}. {II}},
   JOURNAL = {J. Inst. Math. Jussieu},
    VOLUME = {2},
      YEAR = {2003},
    NUMBER = {1},
     PAGES = {23--58},
}

@article{BreuilSemistable,
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 VOLUME = {37},
  YEAR = {2004},
  PAGES = {559--610},
 }


@article(BreuilENS,
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    VOLUME = {31},
      YEAR = {1998},
    NUMBER = {3},
     PAGES = {281--327},)

@article(BreuilStrong,
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title="Repr\'{e}sentations semi-stables et modules fortement divisibles",
journal="Invent. math.",
volume="136",
year="1999",
number="1",
pages="89--122",)

@incollection {BreuilIntegral,
    AUTHOR = {Breuil, Christophe},
     TITLE = {Integral {$p$}-adic {H}odge theory},
 BOOKTITLE = {Algebraic geometry 2000, Azumino (Hotaka)},
    SERIES = {Adv. Stud. Pure Math.},
    VOLUME = {36},
     PAGES = {51--80},
 PUBLISHER = {Math. Soc. Japan},
   ADDRESS = {Tokyo},
      YEAR = {2002},
}

@article(BreuilComptesRendus,
author="Breuil, Christophe",
title="Sch\'{e}mas en groupe et modules filtr\'{e}s",
journal="C. R. Acad. Sci. Paris. S\'{e}r. I Math.",
volume="328",
year="1999",
number="2",
pages="93--97",)


@article(BCDT,
author="Breuil, Christophe and Brian Conrad and Fred Diamond and Richard Taylor",
title="On the modularity of elliptic curves over {${\mathbf{{{Q}}}}$}",
journal="J.A.M.S.",
volume="14",
year="2001",
pages="843-939",)


@article(BreuilAnnals,
author="Breuil, Christophe",
title="Groupes $p$-divisibles, groupes finis et modules filtr\'{e}s",
journal="Ann. of Math. (2)",
volume="152",
year="2000",
number="2",
pages="489--549",)


%%%%%%%%%%%%%%%%%%
%%%% CHRISTOPHE BREUIL - END
%%%%%%%%%%%%%%%%%%


@article {BuzzardDiamondJarvis,
   AUTHOR = {Buzzard, Kevin and Diamond, Fred and Jarvis, Frazer},
     TITLE = {On {S}erre's conjecture for mod {$\ell$} {G}alois
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       DOI = {10.1215/00127094-2010-052},
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}


@article {CalegariEisenstein,
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    VOLUME = {142},
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     NUMBER ={1},
     PAGES = {63--83},
     }

@article {Carayol,
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     TITLE = {Sur les repr\'esentations {$l$}-adiques associ\'ees aux formes
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   JOURNAL = {Ann. Sci. \'Ecole Norm. Sup. (4)},
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      YEAR = {1986},
    NUMBER = {3},
     PAGES = {409--468},
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@book{css,
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 PUBLISHER = {Springer-Verlag},
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      YEAR = {1997},
}

@article {EmertonLocalGlobal,
 AUTHOR = {Emerton, Matthew},
  TITLE = {A local-global compatibility conjecture in the $p$-adic {L}anglands programme for ${\rm GL}_{2/\Q}$},
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  NUMBER = {2},
  PAGES = {279--393}
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@article {FaltingsCrystalline,
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@article {FaltingsHodgeTate,
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    VOLUME = {278},
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@article {FontaineLaffaille,
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     TITLE = {Construction de repr\'esentations {$p$}-adiques},
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  FJOURNAL = {Annales Scientifiques de l'\'Ecole Normale Sup\'erieure.
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     PAGES = {547--608},
 }

@book {GaussDisquisitiones,
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      YEAR = {1966},
}


@article {genus2,
 author= {Gonz\'alez-Jim\'enez, E. and J. Gonz\'alez},
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      YEAR = {2003},
    NUMBER = {241},
     PAGES = {397--418 (electronic)},
    }


@article {GrossTameness,
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    VOLUME = {61},
      YEAR = {1990},
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@article {Jantzen81,
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  FJOURNAL = {Journal of Algebra},
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      YEAR = {1981},
    NUMBER = {2},
     PAGES = {452--474},
  }
		

@article{KhareLevelOne,
author={Khare, Chandrashekhar},
title={Serre's modularity conjecture: the level one case},
journal= {Duke Math. J.},
volume = {134},
number = {3},
year = {2006},
pages = {557--589},
}

@incollection {KisinCrys,
    AUTHOR = {Kisin, Mark},
     TITLE = {Crystalline representations and {$F$}-crystals},
 BOOKTITLE = {Algebraic geometry and number theory},
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@inproceedings {Ohta,
  AUTHOR = {Ohta, Masami},
   TITLE = {The representation of {G}alois group attached to certain finite group schemes, and its application to {S}himura's theory},
CROSSREF = {ANT1976},
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@proceedings{ANT1976,
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LOCATION = {Tokyo},
YEAR = {1977},
}

@article {Paskunas,
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 JOURNAL = {M\'em. Soc. Math. Fr. (N.S.)},
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   YEAR = {2004},
  PAGES = {vi+84 pp.},
 }


@article(Raynaud,
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journal="Bull. Soc. Math. France",
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year="1974",
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@incollection {RibetST,
    AUTHOR = {Ribet, Kenneth A.},
     TITLE = {Abelian varieties over {${\bf Q}$} and modular forms},
 BOOKTITLE = {Algebra and topology 1992 (Taej\u on)},
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      YEAR = {1992},
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@article {SaitoModularForms,
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      YEAR = {1997},
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@article {SchneiderTeitelbaumAdmissible,
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 TITLE = {Banach space representations and {I}wasawa theory},
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 VOLUME = {127},
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@article(SerreDuke,
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$\rm{{G}al}({\Qbar}/{\Q})$",
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@book(SerreEC,
author="Serre, Jean-Pierre",
title="Abelian $l$-adic representations and elliptic curves",
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publisher="Addison-Wesley",
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@book {SerreLF,
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      YEAR = {1979},
}

@inproceedings(TatePD,
author="Tate, John",
title="$p$-divisible groups",
crossref="bergen",
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@proceedings(bergen,
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year="1967",)


@incollection {TateFiniteFlat,
    AUTHOR = {Tate, John},
     TITLE = {Finite flat group schemes},
 BOOKTITLE = {Modular forms and Fermat's last theorem (Boston, MA, 1995)},
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@article {TsujiCst,
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@article {UlmerSlopes,
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@article {ZinkDisplays,
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       DOI = {10.1007/s00208-004-0612-4},
       URL = {http://dx.doi.org/10.1007/s00208-004-0612-4},
}

%%%%%%%%%%%%%%%%%
%%% OLD AND UNSORTED
%%%%%%%%%%%%%%%%%%%

@article(SGA7,
author="Grothendick, Alexandre",
title="Modeles de {N}\'eron et Monodromie",
journal="SGA 7 Expos\'e IX",)




@article(oorttate,
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@inproceedings(FontaineMazur,
author="Fontaine, Jean-Marc and Barry Mazur",
title="Geometric {G}alois {R}epresentations",
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@proceedings(CoatesYau,
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booktitle="Elliptic curves, modular forms, \& {F}ermat's last theorem",
year="1995",
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       URL = {http://dx.doi.org/10.2307/2118560},
}
@article{Wiles,
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MRREVIEWER = {Karl Rubin},
       DOI = {10.2307/2118559},
       URL = {http://dx.doi.org/10.2307/2118559},
}
@book(Shimura,
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@inproceedings(Deligne,
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@proceedings(LNM179,
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@article(Deligne-Serre,
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@article(CDT,
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@article(LanglandsGL2,
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@article(Tunnell,
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@article(AST223,
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@incollection {fo4,
    AUTHOR = {Fontaine, Jean-Marc},
     TITLE = {Repr\'esentations {$p$}-adiques des corps locaux. {I}},
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    SERIES = {Progr. Math.},
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@inproceedings(FontaineIllusie,
author="Fontaine, Jean-Marc and Luc Illusie",
title="$p$-adic periods: a survey",
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@proceedings(IndoFrench,
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@article(ConradRamified,
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@article(Edixhoven,
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@inproceedings(Mazur,
author="Mazur, Barry",
title="An introduction to the deformation theory of {G}alois
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@article(ram,
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journal="Compositio Math.",
volume="87",
year="1993",
number="3",
pages="269--286",)


%%%%%%%%%%%%%%%%%%%%%%%
%%%% NON-CROSSING PARTITIONS ETC.
%%%%%%%%%%%%%%%%%%%%%%%

@book {Ahlfors,
    AUTHOR = {Ahlfors, Lars V.},
     TITLE = {Complex analysis},
   EDITION = {3rd},
 PUBLISHER = {McGraw-Hill Book Co.},
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     PAGES = {xi+331},
}

@article {Edelman,
    AUTHOR = {Edelman, Paul H.},
     TITLE = {Chain enumeration and noncrossing partitions},
   JOURNAL = {Discrete Math.},
  FJOURNAL = {Discrete Mathematics},
    VOLUME = {31},
      YEAR = {1980},
    NUMBER = {2},
     PAGES = {171--180},
}

@article {EdelmanSimion,
   AUTHOR = {Edelman, Paul and Rodica Simion},
    TITLE = {Chains in the lattice of noncrossing partitions},
  JOURNAL = {Discrete Math.},
 FJOURNAL = {Discrete Mathematics},
   VOLUME = {126},
     YEAR = {1994},
    PAGES = {107--119},
}


@book {GKP,
    AUTHOR = {Graham, Ronald L. and Knuth, Donald E. and Patashnik, Oren},
     TITLE = {Concrete mathematics},
   EDITION = {Second},
 PUBLISHER = {Addison-Wesley Publishing Company},
   ADDRESS = {Reading, MA},
      YEAR = {1994},
}


@article {Kreweras,
   AUTHOR = {Kreweras, G.},
    TITLE = {Sur les partitions non crois\'ees d'un cycle},
  JOURNAL = {Discrete Math.},
 FJOURNAL = {Discrete Mathematics},
   VOLUME = {1},
    YEAR = {1972},
   PAGES = {333--350},
}



@article {LandoZvonkin,
    AUTHOR = {Lando, S.K. and A.K. Zvonkin},
     TITLE = {Plane and projective meanders},
   JOURNAL = {Theoretical Computer Science},
    VOLUME = {117},
      YEAR = {1993},
     PAGES = {227--241},
}

@article {McCammond,
    AUTHOR = {McCammond, Jon},
     TITLE = {Noncrossing partitions in surprising locations},
   JOURNAL = {Amer. Math. Monthly},
    VOLUME = {113},
      YEAR = {2006},
    NUMBER = {7},
     PAGES = {598--610},
}


@article {Simion,
  AUTHOR = {Simion, Rodica},
   TITLE = {Noncrossing partitions},
  JOURNAL = {Discrete Math.},
 FJOURNAL = {Discrete Mathematics},
   VOLUME = {217},
    YEAR = {2000},
   PAGES = {367--409},
}


%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%%%% NO LONGER IN CURRENT USE - PUBLISHED
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%


@article {MaisnerNart,
    AUTHOR = {Maisner, Daniel and Nart, Enric},
     TITLE = {Abelian surfaces over finite fields as {J}acobians},
      NOTE = {With an appendix by Everett W. Howe},
   JOURNAL = {Experiment. Math.},
    VOLUME = {11},
      YEAR = {2002},
    NUMBER = {3},
     PAGES = {321--337},
}


@article(talamanca1,
author="Talamanca, Valerio",
title="Height preserving transformations on semisimple ${K}$-algebras",
note="Journ\'ees Arithm\'etiques, Barcelona, 1995",
journal="Collect. Math.",
volume="48",
year="1997",
number="1-2",
pages="217--234",)

@article(talamanca2,
author="Talamanca, Valerio",
title="A {G}elfand-{B}eurling type formula for heights on endomorphism rings",
journal="J. Number Theory",
volume="83",
number="1",
year="2000",
pages="91--105",)

@article(brumer,
author="Brumer, Armand ",
title="The rank of ${J}_0({N})$. {C}olumbia {U}niversity {N}umber {T}heory
{S}eminar ({N}ew {Y}ork, 1992)",
journal="Ast\'erisque",
number="228",
year="1995",
pages="41--68",)

@article{wiersema2025crystalline,
  title={Crystalline liftability of irregular weights},
  author={Wiersema, Hanneke},
  journal={arXiv preprint arXiv:2506.21637},
  year={2025}
}

@book(proleg,
author="Cassels, J.W.S.  and E.V. Flynn",
title="Prolegomena to a middlebrow arithmetic of curves of genus $2$",
series="London Mathematical Society Lecture Note Series, 230",
publisher="Cambridge University Press, Cambridge",
year="1996",)



@article(Wang,
author="Wang, X.",
title="$2$-dimensional simple factors of ${J}_{0}({N})$",
journal="Manuscripta Math.",
volume="87",
year="1995",
pages="179--197",)


@article(pvw,
author="van Wamelen, Paul",
title="Proving that a genus $2$ curve has complex multiplication",
journal="Mathematics of Computation",
year="1999",
volume="68",
number="228",
pages="1663--1677",)



@unpublished(brpc,
 author="Breuil, Christophe",
 note="personal communication, May 29th 2001",)


 @unpublished(BreuilWeak,
 author="Breuil, Christophe",
 title="Modules faiblement admissibles et groupes p-divisibles",
 year="1999",
 note="Pr\'{e}publication Universit\'{e} de Paris-Sud",)


 @unpublished(BreuilOrsay,
 author="Breuil, Christophe",
 title="Sch\'{e}mas en groupes sur un anneau de valuation
 discr\`{e}t complet tr\`{e}s ramifi\'{e}",
 year="1998",
 note="Orsay preprint",)

 @unpublished {SavittStein,
  AUTHOR = {Savitt, David and William Stein},
   TITLE = {Computational strategies for proving modularity of curves of ${GL}_2$-type},
    NOTE = {In preparation},
    }


 @unpublished {HTHall,
    AUTHOR = {Hall, H. Tracy},
     TITLE = {Meanders in a Cayley graph},
      NOTE = {{\sf http://arxiv.org/math.CO/0606170}}
 }

@unpublished{lhmm,
  title={Local model theory for non-generic tame potentially Barsotti--Tate deformation rings},
  author={Le Hung, Bao Viet and M{\'e}zard, Ariane and Morra, Stefano},
  note={\url{https://arxiv.org/pdf/2311.16617}},
  year={2023}
}

 @unpublished{BreuilBarcelona,
 author="Breuil, Christophe",
 title="p-adic {H}odge theory, deformations, and local {L}anglands",
 note="{N}otes from a course given at {C}entre de {R}ecerca {M}atematica, {J}uly 18 to 28,
 2001, available at {\sf http://www.crm.es/Publications/ps-pdf-preprints/Quadern20-1.pdf}",}


 @unpublished {KisinTalk,
   AUTHOR = {Kisin, Mark},
    TITLE = {Modularity and the {B}reuil-{M}\'ezard conjecture},
     NOTE = {lecture at the {CRM} conference on $p$-adic representations, {M}ontr\'eal},
     YEAR = {{S}eptember 2005},
 }

 @unpublished(WRDR,
 author="Conrad, Brian",
 title="Wild ramification and deformation rings",
 note="M{\"u}nster preprint",)

 @unpublished {MaisnerNart2,
  AUTHOR = {Maisner, Daniel and Enric Nart},
 TITLE = {Zeta functions of supersingular curves of genus 2},
 NOTE = {Preprint},
 YEAR = {2004},
 }
 
 @unpublished{ModuliFL,
   author = {Le, Daniel and Hung, Bao Viet Le and Morra, Stefano and Park, Chol and Qian, Zicheng},
  
  
  title = {Moduli of Fontaine--Laffaille representations and a mod-$p$ local-global compatibility result},
  
  publisher = {arXiv},
  
  year = {2021},
}

@phdthesis{HWThesis,
title={Minimal weights of mod $p$ {G}alois representations},
author={Hanneke Wiersema},
year={2021},
school = {King's College London},
journal={PhD Thesis}, 
}