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Polyèdre fondamental pour le groupe de Bianchi de discriminant -427, construit par le logiciel Bianchi.gp d’Alexander D. Rahm
Description
STS
CV
Professeur au laboratoire GAATI de l’Université de la Polynésie Française.
Associate Fellow of the Higher Education Academy and awardee of the FSTC Teaching and Innovation Grant.
Chercheur au projet MELODIA financé par Agence Nationale de la Recherche (ANR).
Habilitation à Diriger des Recherches (HDR) soutenue à Sorbonne Université, Paris, le 8 juin 2017. Le mémoire HDR est disponible sur le serveur TEL. Jury: Nicolas Bergeron (Université Pierre et Marie Curie, Paris), Mladen Dimitrov (Université Lille 1), Paul E. Gunnells (University of Massachusetts Amherst, rapporteur), Günter Harder (Hausdorff Center for Mathematics, Bonn), Hans-Werner Henn (Université de Strasbourg, rapporteur), David Kohel (Université d’Aix-Marseille), Ralf Köhl (Universität Giessen), Alain Valette (Université de Neuchâtel, rapporteur, président).
Pour accéder aux logiciels, projets encadrés, etc., de Alexander D. Rahm, rendez-vous sur sa page web personnelle, s’il vous plaît :
https://gaati.org/rahm/
Projects
Scientific Productions
Article
AN INTRODUCTION TO TORSION SUBCOMPLEX REDUCTION
Advanced Studies: Euro-Tbilisi Mathematical Journal, 2021, Special issue on Cohomology, Geometry, Explicit Number Theory, 9, p. 105-126
Alexander D. Rahm
GAATI — Algebraic Geometry and Applications to Information Theory
2021
Article
Hyperbolic tessellations and generators of K_3 for imaginary quadratic fields
Forum of Mathematics, Sigma, 2021, 9 (E40), ⟨10.1017/fms.2021.9⟩
Alexander D. Rahm
GAATI — Algebraic Geometry and Applications to Information Theory
2021
Article
The Distribution of Rational Numbers on Cantor’s Middle Thirds Set
Uniform Distribution Theory, 2020, 15 (2), pp.73-92. ⟨10.2478/udt-2020-0011⟩
Alexander D. Rahm
GAATI — Algebraic Geometry and Applications to Information Theory
2020
Article
Plasmids shape the diverse accessory resistomes of Escherichia coli ST131
Access Microbiology, 2020, ⟨10.1099/acmi.0.000179⟩
Alexander D. Rahm
GAATI — Algebraic Geometry and Applications to Information Theory
2020
Lecture
Statistique pour les Sciences de la Vie et de la Terre
Licence. Polynésie française. 2020
Alexander D. Rahm
GAATI — Algebraic Geometry and Applications to Information Theory
2020
Article
Bianchi’s additional symmetries
Journal of Homotopy and Related Structures, 2020, 15, pp.455-462. ⟨10.1007/s40062-020-00262-4⟩
Alexander D. Rahm
GAATI — Algebraic Geometry and Applications to Information Theory
2020
Article
The mod 2 cohomology rings of congruence subgroups in the Bianchi groups
Journal of Algebraic Combinatorics, 2019, ⟨10.1007/s10801-019-00912-8⟩
Alexander D. Rahm
GAATI — Algebraic Geometry and Applications to Information Theory
2019
Article
The Farrell–Tate and Bredon homology for PSL 4 ( Z ) via cell subdivisions
Journal of Pure and Applied Algebra, 2019, 223 (7), pp.2872-2888. ⟨10.1016/j.jpaa.2018.10.002⟩
Alexander D. Rahm
GAATI — Algebraic Geometry and Applications to Information Theory
2019
Article
Corrigendum to “On a question of Serre” [C. R. Acad. Sci. Paris, Ser. I 350 (2012) 741–744]
Comptes Rendus. Mathématique, 2019, 357 (7), pp.589-590. ⟨10.1016/j.crma.2019.07.008⟩
Alexander D. Rahm
GAATI — Algebraic Geometry and Applications to Information Theory
2019
Article
On Ruan’s Cohomological Crepant Resolution Conjecture for the complexified Bianchi orbifolds
Algebraic and Geometric Topology, 2019, 19, pp.2715-2762. ⟨10.2140/agt.2019.19.2715⟩
Alexander D. Rahm
GAATI — Algebraic Geometry and Applications to Information Theory
2019
Article
The Farrell–Tate and Bredon homology for PSL_4(Z) via cell subdivisions
Journal of Pure and Applied Algebra, 2019, 223 (7), pp.2872-2888. ⟨10.1016/j.jpaa.2018.10.002⟩
Alexander D. Rahm
GAATI — Algebraic Geometry and Applications to Information Theory
2019
Article
GENUINE BIANCHI MODULAR FORMS OF HIGHER LEVEL, AT VARYING WEIGHT AND DISCRIMINANT
Journal de Théorie des Nombres de Bordeaux, 2019, 31 (1), pp.27-48. ⟨10.5802/jtnb.1067⟩
Alexander D. Rahm
GAATI — Algebraic Geometry and Applications to Information Theory
2019
Article
Simulation study of the electrical tunneling network conductivity of suspensions of hard spherocylinders
Physical Review E , 2018, 98 (6), ⟨10.1103/PhysRevE.98.062611⟩
Alexander D. Rahm
GAATI — Algebraic Geometry and Applications to Information Theory
2018
Article
Verification of the Quillen conjecture in the rank 2 imaginary quadratic case
Homology, Homotopy and Applications(HHA), 2017, 22 (2), ⟨10.4310/HHA.2020.v22.n2.a17⟩
Alexander D. Rahm
GAATI — Algebraic Geometry and Applications to Information Theory
2017
HDR
Torsion Subcomplex Reduction
Réduction de sous-complexes de torsion
Mathematics [math]. Pierre et Marie Curie, Paris VI, 2017
Alexander D. Rahm
GAATI — Algebraic Geometry and Applications to Information Theory
2017
Article
On the equivariant K-homology of PSL_2 of the imaginary quadratic integers
Annales de l'Institut Fourier, 2016, (accepted for publication on January 21, 2016)
Alexander D. Rahm
GAATI — Algebraic Geometry and Applications to Information Theory
2016
Article
The mod 2 cohomology rings of SL_2 of the imaginary quadratic integers
Journal of Pure and Applied Algebra, 2015, Accepted for publication on July 21, 2015
Alexander D. Rahm
GAATI — Algebraic Geometry and Applications to Information Theory
2015
Article
A REFINEMENT OF A CONJECTURE OF QUILLEN
Comptes Rendus. Mathématique, 2015, pp.Editorial reference: CRASS1_CRMATHEMATIQUE-D-14-00503
Alexander D. Rahm
GAATI — Algebraic Geometry and Applications to Information Theory
2015
Article
Complexifiable characteristic classes
Journal of Homotopy and Related Structures, 2013, Accepted for publication
Alexander D. Rahm
GAATI — Algebraic Geometry and Applications to Information Theory
2013
Article
Higher torsion in the Abelianization of the full Bianchi groups
LMS Journal of Computation and Mathematics, 2013, 16, pp. 344 - 365. ⟨10.1112/S1461157013000168⟩
Alexander D. Rahm
GAATI — Algebraic Geometry and Applications to Information Theory
2013
Article
On Level One Cuspidal Bianchi Modular Forms
LMS Journal of Computation and Mathematics, 2013, 16, pp. 187-199. ⟨10.1112/S1461157013000053⟩
Alexander D. Rahm
GAATI — Algebraic Geometry and Applications to Information Theory
2013
Article
The subgroup measuring the defect of the Abelianization of SL_2(Z[i])
Journal of Homotopy and Related Structures, 2013, pp.1-6. ⟨10.1007/s40062-013-0023-x⟩
Alexander D. Rahm
GAATI — Algebraic Geometry and Applications to Information Theory
2013
Article
The homological torsion of PSL_2 of the imaginary quadratic integers
Transactions of the American Mathematical Society, 2012, 365, pp.1603-1635. ⟨10.1090/S0002-9947-2012-05690-X⟩
Alexander D. Rahm
GAATI — Algebraic Geometry and Applications to Information Theory
2012
Article
On a question of Serre
Comptes Rendus. Mathématique, 2012, 350 (15-16), pp.Pages 741-744. ⟨10.1016/j.crma.2012.09.001⟩
Alexander D. Rahm
GAATI — Algebraic Geometry and Applications to Information Theory
2012
Article
Homology and K-theory of the Bianchi groups
Comptes Rendus. Mathématique, 2011, Volume 349 (Issues 11-12), pp.Pages 615-619. ⟨10.1016/j.crma.2011.05.014⟩
Alexander D. Rahm
GAATI — Algebraic Geometry and Applications to Information Theory
2011
Article
The integral homology of $PSL_2$ of imaginary quadratic integers with non-trivial class group
Journal of Pure and Applied Algebra, 2011, 215, pp.1443-1472. ⟨10.1016/j.jpaa.2010.09.005⟩
Alexander D. Rahm
GAATI — Algebraic Geometry and Applications to Information Theory
2011
Thesis
(Co)homologies and K-theory of Bianchi groups using computational geometric models
(Co)homologies et K-théorie de groupes de Bianchi par des modèles géométriques calculatoires
Mathematics [math]. Université Joseph-Fourier - Grenoble I, 2010. English. ⟨NNT : ⟩
Alexander D. Rahm
GAATI — Algebraic Geometry and Applications to Information Theory
2010