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Christian Maire

Professeur des Universités en mathématiques

Théorie des nombres, arithmétique, algèbre

Département Optique
équipe OPTO

UFC - UFR ST

Courriel :: christian.maire [at] univ-fcomte.fr
Adresse :: TEMIS
15B avenue des Montboucons
25030 BESANCON cedex

Professeur à Besançon depuis 2007
02-07 : Professeur à Toulouse II
97-02 : Maître de conférences à Bordeaux I

Publications de Christian Maire

Voir toutes les publications (36)2023 (8)2022 (9)2021 (8)2020 (4)2019 (6)2018 (1)

2023 (8)

inproceedings - Extensions modérément ramifiées, corps gouvernants et obstructions
Séminaire de Théorie des Nombres (2023) / Institut de Mathématiques de Bordeaux, France (2023)
Maire, Christian
bibtex@inproceedings{d38515a2-acd9-41e7-9aa7-538918a6812b, title = {Extensions mod\'er\'ement ramifi\'ees, corps gouvernants et obstructions}, author = {Maire, Christian}, year = {2023}, address = {Institut de Math\'ematiques de Bordeaux, France}, booktitle = {S\'eminaire de Th\'eorie des Nombres (2023)}, editor = {}, month = {dec} }
inproceedings - Governing fields, embedding problem and obstructions
Algebra, Number Theory and their Applications (2023) / Oudja, Morocco (2023)
Maire, Christian
bibtex@inproceedings{3e9c648e-b2a2-4139-a395-cfc91413cefe, title = {Governing fields, embedding problem and obstructions}, author = {Maire, Christian}, year = {2023}, address = {Oudja, Morocco}, booktitle = {Algebra, Number Theory and their Applications (2023)}, month = {nov} }
inproceedings - Construction of maximal unramified p-extensions for given Galois groups
Séminaire Tsingua University (2033) / Pékin, China (2023)
Maire, Christian
bibtex@inproceedings{d753341d-7972-4298-9edc-7ae27fcd943c, title = {Construction of maximal unramified p-extensions for given Galois groups}, author = {Maire, Christian}, year = {2023}, address = {P\'ekin, China}, booktitle = {S\'eminaire Tsingua University (2033)}, month = {aug} }
inproceedings - On Galois representations with large image
Séminaire Tsingua University (2033) / Pékin, China (2023)
Maire, Christian
bibtex@inproceedings{5b59e42a-6efa-4f5e-a884-2b038ea6da82, title = {On Galois representations with large image}, author = {Maire, Christian}, year = {2023}, address = {P\'ekin, China}, booktitle = {S\'eminaire Tsingua University (2033)}, month = {aug} }
inproceedings - Reichardt, Scholz and Shafarevich
Séminaire de Théorie des Nombres (2023) / Institut de Mathématiques de Bordeaux, France (2023)
Maire, Christian
bibtex@inproceedings{28c40e4c-9e30-4045-bd57-64edf95fa37b, title = {Reichardt, Scholz and Shafarevich}, author = {Maire, Christian}, year = {2023}, address = {Institut de Math\'ematiques de Bordeaux, France}, booktitle = {S\'eminaire de Th\'eorie des Nombres (2023)}, month = {jul} }
article - On tame Z/pZ-extensions with prescribed ramification
Canadian Mathematical Bulletin (Volume First View, jun 2023, Pages :1-9)
Hajir, Farshid | Maire, Christian | Ramakrishna, Ravi
doi
article - On Galois representations with large image
Transactions of the American Mathematical Society (Volume 370, Issue (10), jun 2023, Pages :7087-7106)
Maire, Christian
pdf | doi
inproceedings - On Galois representations with large image
Ewha International Workshop on Algebraic Number Theory (2023) / Séoul, Korea, Republic Of (2023)
Maire, Christian
bibtex@inproceedings{0af6ff83-7991-445d-a15f-44bd996d453e, title = {On Galois representations with large image}, author = {Maire, Christian}, year = {2023}, address = {S\'eoul, Korea, Republic Of}, booktitle = {Ewha International Workshop on Algebraic Number Theory (2023)}, editor = {}, month = {feb} }

2022 (9)

misc - Coorganisateur "Les Journées Algébriques du Gabon", Libreville du 5 au 20 décembre 2022
(dec 2022)
Maire, Christian
bibtex@misc{3bf9d5cd-2faa-4344-98c4-c704f770a9c7, title = {Coorganisateur "Les Journ\'ees Alg\'ebriques du Gabon", Libreville du 5 au 20 d\'ecembre 2022}, author = {Maire, Christian}, year = {2022}, month = {dec} }
inproceedings - Construction of maximal unramified p-extensions of given Galois groups
2022 New Trends around Profinite Groups (2022) / Varese, Italy (2022)
Maire, Christian
bibtex@inproceedings{b2c8303b-1bba-440d-898a-b096a14e47b9, title = {Construction of maximal unramified p-extensions of given Galois groups}, author = {Maire, Christian}, year = {2022}, address = {Varese, Italy}, booktitle = {2022 New Trends around Profinite Groups (2022)}, month = {sep} }
inproceedings - On Galois representations with large image
Diophantine Geometry and L-functions (2022) / Bordeaux, France (2022)
Maire, Christian
bibtex@inproceedings{d1d0777f-deb9-419d-80b4-38d4b7a8745b, title = {On Galois representations with large image}, author = {Maire, Christian}, year = {2022}, address = {Bordeaux, France}, booktitle = {Diophantine Geometry and L-functions (2022)}, month = {sep} }
misc - Co-responsable administratif et scientifique d'une Ecole CIMPA à Dangbo au Bénin : Algèbre, arithmétique et applications
(jun 2022)
Maire, Christian
bibtex@misc{61ef8068-06d5-418f-9d6c-709af5f2586b, title = {Co-responsable administratif et scientifique d'une Ecole CIMPA \`a Dangbo au B\'enin : Alg\`ebre, arithm\'etique et applications}, author = {Maire, Christian}, year = {2022}, address = {Dangbo, Benin}, booktitle = {Ecole CIMPA : Alg\`ebre, arithm\'etique et applications (2022)}, month = {jun} }
inproceedings - Construction de p-extensions non ramifiées maximales de groupe de Galois donné
Séminaire de Théorie des Nombres de l'Institut Mathématiques (2022) / Jussieu - Paris Rive Gauche, France (2022)
Maire, Christian
bibtex@inproceedings{6f8cebae-8066-473a-b030-147eca527e59, title = {Construction de p-extensions non ramifi\'ees maximales de groupe de Galois donn\'e}, author = {Maire, Christian}, year = {2022}, address = {Jussieu - Paris Rive Gauche, France}, booktitle = {S\'eminaire de Th\'eorie des Nombres de l'Institut Math\'ematiques (2022)}, month = {may} }
misc - Coorganisateur conférence : Geometric and Arithmetic Methods in Number Theory, Besançon
(apr 2022)
Maire, Christian
bibtex@misc{eda4f350-5304-4f29-8bec-d054a06f5982, title = {Coorganisateur conf\'erence : Geometric and Arithmetic Methods in Number Theory, Besan\c{c}on}, author = {Maire, Christian}, year = {2022}, month = {apr} }
article - Analytic Lie extensions of number fields with cyclic fixed points and tame ramification
Journal of the Ramanujan Mathematical Society (Volume 37, Issue (1), mar 2022, Pages :63–85)
Hajir, Farshid | Maire, Christian
pdf
inproceedings - On Galois representations with large image
Séminaire de d'algèbre et de théorie des nombres de Western University (2022) / London, en visio, Canada (2022)
Maire, Christian
bibtex@inproceedings{a403d0f6-30ff-41c2-803b-0097e58106ef, title = {On Galois representations with large image}, author = {Maire, Christian}, year = {2022}, address = {London, en visio, Canada}, booktitle = {S\'eminaire de d'alg\`ebre et de th\'eorie des nombres de Western University (2022)}, month = {mar} }
inproceedings - Sur les représentations galoisiennes à grosse image
Séminaire de théorie des nombres du Laboratoire de Mathématiques de Besançon (2022) / Besançon, France (2022)
Maire, Christian
bibtex@inproceedings{e8bd1206-4e4e-4f7a-bed4-3e859e524671, title = {Sur les repr\'esentations galoisiennes \`a grosse image}, author = {Maire, Christian}, year = {2022}, address = {Besan\c{c}on, France}, booktitle = {S\'eminaire de th\'eorie des nombres du Laboratoire de Math\'ematiques de Besan\c{c}on (2022)}, month = {feb} }

2021 (8)

article - On the Shafarevich group of restricted ramification extensions of number fields in the tame case
Indiana University Mathematics Journal (Volume 70, Issue (6), dec 2021, Pages :2693-2710)
Hajir, Farshid | Maire, Christian | Ramakrishna, Ravi
pdf | doi
misc - Co-responsable administratif et scientifique d'une Ecole de Recherche à Dangbo au Bénin, Institut de Mathématiques et des Sciences Physiques (IMSP)
(dec 2021)
Maire, Christian
bibtex@misc{eb596819-88e9-405f-8e76-d2a2e7851800, title = {Co-responsable administratif et scientifique d'une Ecole de Recherche \`a Dangbo au B\'enin, Institut de Math\'ematiques et des Sciences Physiques (IMSP)}, author = {Maire, Christian}, year = {2021}, address = {Dangbo, Benin}, booktitle = {Ecole de Recherche, Institut de Math\'ematiques et des Sciences Physiques (IMSP) (2021)}, month = {dec} }
inproceedings - On Galois representations with large image
Africa Math Seminar (AfMS 2021) / Séminaire en ligne pour l'ensemble de l'Afrique, France (2021)
Maire, Christian
bibtex@inproceedings{eebec6b9-1bd7-4d57-9cd8-3cddc5b90ef6, title = {On Galois representations with large image}, author = {Maire, Christian}, year = {2021}, address = {S\'eminaire en ligne pour l'ensemble de l'Afrique, France}, booktitle = {Africa Math Seminar (AfMS 2021)}, month = {oct} }
inproceedings - On Galois representations with large image
CIRM-conference "New trends around profinite groups" (2021) / Trente, Levico Terme, Italy (2021)
Maire, Christian
bibtex@inproceedings{10b25e77-21f2-4e64-ad54-e7c1ca99e5f9, title = {On Galois representations with large image}, author = {Maire, Christian}, year = {2021}, address = {Trente, Levico Terme, Italy}, booktitle = {CIRM-conference "New trends around profinite groups" (2021)}, month = {sep} }
article - Codes from unit groups of division algebras over number fields
Mathematische Zeitschrift (Volume 298, Issue (3), jun 2021, Pages :327-348)
Maire, Christian | Page, Aurel
pdf | doi
article - Cutting towers of number fields
Annales mathématiques du Québec (Volume 45, feb 2021, Pages :321-345)
Hajir, Farshid | Maire, Christian | Ramakrishna, Ravi
pdf | doi
book - Théorie des corps. Cours + exercices corrigés.
(jan 2021, Pages 1-200)
Maire, Christian
bibtex@book{8197f798-482a-46d4-9281-583b8831dd21, title = {Th\'eorie des corps. Cours + exercices corrig\'es.}, author = {Maire, Christian}, year = {2021}, month = {jan}, pages = {1-200} }
misc - Membre du Conseil Consultatif de l'Association de Théorie des Nombres de Rome (depuis 2018)
( 2021)
Maire, Christian
bibtex@misc{c15662f7-12a2-4a68-9f4d-9301e32b7826, title = {Membre du Conseil Consultatif de l'Association de Th\'eorie des Nombres de Rome (depuis 2018)}, author = {Maire, Christian}, year = {2021} }

2020 (4)

article - A note on asymptotically good extensions in which infinitely many primes split completely
Archiv der Mathematik (Volume 115 , aug 2020, Pages :523-534)
Hamza, Oussama | Maire, Christian
doi
article - Infinite class field towers of number fields of prime power discriminant
Advances in Mathematics (Volume 373, Issue (107318), aug 2020, Pages : )
Hajir, Farshid | Maire, Christian | Ramakrishna, Ravi
pdf | doi
article - A note on p-rational fields and the abc-conjecture
Proceedings of the American Mathematical Society (Volume 148, Issue (8), apr 2020, Pages :3263-3271)
Maire, Christian | Rougnant, Marine
pdf | doi
inproceedings - The Theorem of Golod-Shafarevich in Number Theory
Colloquium du Département de Mathématiques (2020) / Western Ontario, Canada (2020)
Maire, Christian
bibtex@inproceedings{f3d14e80-62ba-4e85-9ed3-981f87142fed, title = {The Theorem of Golod-Shafarevich in Number Theory}, author = {Maire, Christian}, year = {2020}, address = {Western Ontario, Canada}, booktitle = {Colloquium du D\'epartement de Math\'ematiques (2020)}, month = {jan} }

2019 (6)

inproceedings - Sur les relations des pro-p-extensions non-ramifiées des corps de nombres
Journée en l'honneur de Jacques Martinet (2019) / Bordeaux, France (2019)
Maire, Christian
bibtex@inproceedings{6673ddee-f6bd-4388-b180-1e3bc9a5baf0, title = {Sur les relations des pro-p-extensions non-ramifi\'ees des corps de nombres}, author = {Maire, Christian}, year = {2019}, address = {Bordeaux, France}, booktitle = {Journ\'ee en l'honneur de Jacques Martinet (2019)}, month = {nov} }
misc - Co-responsable administratif et scientifique d'une Ecole CIMPA à Limbé AIMS-Cameroun : `Algebraic Geometry, Number Theory and Applications in Cryptography and Robot kinematics
(jul 2019)
Maire, Christian
bibtex@misc{43ba834a-cb65-4e23-84dc-484c0e49aa13, title = {Co-responsable administratif et scientifique d'une Ecole CIMPA \`a Limb\'e AIMS-Cameroun : `Algebraic Geometry, Number Theory and Applications in Cryptography and Robot kinematics}, author = {Maire, Christian}, year = {2019}, address = {Limb\'e, Cameroon}, booktitle = {Ecole CIMPA : Algebraic Geometry, Number Theory and Applications in Cryptography and Robot kinematics (2019)}, month = {jul} }
misc - Co-organisateur du Summer Program on Number Theory and Related Topics at Harbin Institute of Technology (HIT)
(jun 2019)
Maire, Christian
bibtex@misc{cf648f8e-11fd-419d-a1b4-4aa334595d70, title = {Co-organisateur du Summer Program on Number Theory and Related Topics at Harbin Institute of Technology (HIT)}, author = {Maire, Christian}, year = {2019}, address = {Harbin Institute of Technology (HIT), China}, booktitle = {Summer Program on Number Theory and Related Topics (2019)}, month = {jun} }
inproceedings - Sur certains quotients des groupes G_S
Séminaire de théorie des nombres (2019) / Caen, France (2019)
Maire, Christian
bibtex@inproceedings{e31114f2-34ca-4338-8da2-d94a7ba58312, title = {Sur certains quotients des groupes G_S}, author = {Maire, Christian}, year = {2019}, address = {Caen, France}, booktitle = {S\'eminaire de th\'eorie des nombres (2019)}, month = {may} }
inproceedings - Relations in pro-p extensions of number fields
Five College Number Theory Seminar (2019) / Amherst Massachusetts, United States (2019)
Maire, Christian
bibtex@inproceedings{8684447d-1770-4ea5-b3d9-bb459c61a8ae, title = {Relations in pro-p extensions of number fields}, author = {Maire, Christian}, year = {2019}, address = {Amherst Massachusetts, United States}, booktitle = {Five College Number Theory Seminar (2019)}, month = {mar} }
article - Composantes isotypiques de pro-p-extensions de corps de nombres et p-rationalité
Publicationes Mathematicae Debrecen (Volume 94, Issue (1/2), jan 2019, Pages :123-155)
Maire, Christian | Rougnant, Marine
pdf

2018 (1)

article - Genus theory and governing fields
New York Journal of Mathematics (Volume 24, nov 2018, Pages :1056 - 1067)
Maire, Christian

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Christian Maire

Publications de Christian Maire

2023 (8)

2022 (9)

2021 (8)

2020 (4)

2019 (6)

2018 (1)

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