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Number of documents

32

Publication list of Alexander D. Rahm


Journal articles24 documents

  • Alexander Rahm. AN INTRODUCTION TO TORSION SUBCOMPLEX REDUCTION. Advanced Studies: Euro-Tbilisi Mathematical Journal, Tbilisi Centre for Mathematical Sciences, 2021, Special issue on Cohomology, Geometry, Explicit Number Theory, 9, p. 105-126. ⟨hal-03112213v2⟩
  • David Burns, Rob de Jeu, Herbert Gangl, Alexander Rahm, Dan Yasaki. Hyperbolic tessellations and generators of K_3 for imaginary quadratic fields. Forum of Mathematics, Sigma, Cambridge University press, 2021, 9 (E40), ⟨10.1017/fms.2021.9⟩. ⟨hal-02550079⟩
  • Alexander Rahm. Bianchi's additional symmetries. Journal of Homotopy and Related Structures, Springer, 2020, 15, pp.455-462. ⟨10.1007/s40062-020-00262-4⟩. ⟨hal-02899079⟩
  • Arun Gonzales Decano, Nghia Tran, Hawriya Al-Foori, Buthaina Al-Awadi, Leigh Campbell, et al.. Plasmids shape the diverse accessory resistomes of Escherichia coli ST131. Access Microbiology, Microbiology Society, 2020, ⟨10.1099/acmi.0.000179⟩. ⟨hal-03017581⟩
  • Alexander Rahm, Noam Solomon, Tara Trauthwein, Barak Weiss. The Distribution of Rational Numbers on Cantor’s Middle Thirds Set. Uniform Distribution Theory, Mathematical Institute of the Slovak Academy of Sciences, 2020, 15 (2), pp.73-92. ⟨10.2478/udt-2020-0011⟩. ⟨hal-03417923⟩
  • Fabio Perroni, Alexander Rahm. On Ruan's Cohomological Crepant Resolution Conjecture for the complexified Bianchi orbifolds. Algebraic and Geometric Topology, Mathematical Sciences Publishers, 2019, 19, pp.2715-2762. ⟨10.2140/agt.2019.19.2715⟩. ⟨hal-00627034v4⟩
  • Alexander Rahm, Panagiotis Tsaknias. GENUINE BIANCHI MODULAR FORMS OF HIGHER LEVEL, AT VARYING WEIGHT AND DISCRIMINANT. Journal de Théorie des Nombres de Bordeaux, Société Arithmétique de Bordeaux, 2019, 31 (1), pp.27-48. ⟨10.5802/jtnb.1067⟩. ⟨hal-01478115⟩
  • Anh Tuan Bui, Alexander Rahm, Matthias Wendt. The Farrell--Tate and Bredon homology for PSL_4(Z) via cell subdivisions. Journal of Pure and Applied Algebra, Elsevier, 2019, 223 (7), pp.2872-2888. ⟨10.1016/j.jpaa.2018.10.002⟩. ⟨hal-01398162v4⟩
  • Alexander Rahm. Corrigendum to “On a question of Serre” [C. R. Acad. Sci. Paris, Ser. I 350 (2012) 741–744]. Comptes Rendus. Mathématique, Académie des sciences (Paris), 2019, 357 (7), pp.589-590. ⟨10.1016/j.crma.2019.07.008⟩. ⟨hal-03417827⟩
  • Ethan Berkove, Grant Lakeland, Alexander Rahm, Anh Tuan Bui, Sebastian Schönnenbeck. The mod 2 cohomology rings of congruence subgroups in the Bianchi groups. Journal of Algebraic Combinatorics, Springer Verlag, 2019, ⟨10.1007/s10801-019-00912-8⟩. ⟨hal-01565065v3⟩
  • Anh Tuan Bui, Alexander Rahm, Matthias Wendt. The Farrell–Tate and Bredon homology for PSL 4 ( Z ) via cell subdivisions. Journal of Pure and Applied Algebra, Elsevier, 2019, 223 (7), pp.2872-2888. ⟨10.1016/j.jpaa.2018.10.002⟩. ⟨hal-03417845⟩
  • Arshia Atashpendar, Sarthak Arora, Alexander Rahm, Tanja Schilling. Simulation study of the electrical tunneling network conductivity of suspensions of hard spherocylinders. Physical Review E , American Physical Society (APS), 2018, 98 (6), ⟨10.1103/PhysRevE.98.062611⟩. ⟨hal-03017594⟩
  • Bui Anh Tuan, Alexander Rahm. Verification of the Quillen conjecture in the rank 2 imaginary quadratic case. Homology, Homotopy and Applications(HHA), International Press of Boston, Inc., 2017, 22 (2), ⟨10.4310/HHA.2020.v22.n2.a17⟩. ⟨hal-02548734⟩
  • Alexander Rahm. On the equivariant K-homology of PSL_2 of the imaginary quadratic integers. Annales de l'Institut Fourier, Association des Annales de l'Institut Fourier, 2016, (accepted for publication on January 21, 2016). ⟨hal-01162857v2⟩
  • Ethan Berkove, Alexander Rahm. The mod 2 cohomology rings of SL_2 of the imaginary quadratic integers. Journal of Pure and Applied Algebra, Elsevier, 2015, Accepted for publication on July 21, 2015. ⟨hal-00769261v5⟩
  • Alexander Rahm, Matthias Wendt. A REFINEMENT OF A CONJECTURE OF QUILLEN. Comptes Rendus. Mathématique, Académie des sciences (Paris), 2015, pp.Editorial reference: CRASS1_CRMATHEMATIQUE-D-14-00503. ⟨hal-01083049v2⟩
  • Alexander Rahm. Complexifiable characteristic classes. Journal of Homotopy and Related Structures, Springer, 2013, Accepted for publication. ⟨hal-00598236v3⟩
  • Alexander Rahm. The subgroup measuring the defect of the Abelianization of SL_2(Z[i]). Journal of Homotopy and Related Structures, Springer, 2013, pp.1-6. ⟨10.1007/s40062-013-0023-x⟩. ⟨hal-00777379⟩
  • Alexander Rahm. Higher torsion in the Abelianization of the full Bianchi groups. LMS Journal of Computation and Mathematics, London Mathematical Society, 2013, 16, pp. 344 - 365. ⟨10.1112/S1461157013000168⟩. ⟨hal-00721690⟩
  • Alexander Rahm, Mehmet Haluk Sengun. On Level One Cuspidal Bianchi Modular Forms. LMS Journal of Computation and Mathematics, London Mathematical Society, 2013, 16, pp. 187-199. ⟨10.1112/S1461157013000053⟩. ⟨hal-00589184v3⟩
  • Alexander Rahm. The homological torsion of PSL_2 of the imaginary quadratic integers. Transactions of the American Mathematical Society, American Mathematical Society, 2012, 365, pp.1603-1635. ⟨10.1090/S0002-9947-2012-05690-X⟩. ⟨hal-00578383v4⟩
  • Alexander Rahm. On a question of Serre. Comptes Rendus. Mathématique, Académie des sciences (Paris), 2012, 350 (15-16), pp.Pages 741-744. ⟨10.1016/j.crma.2012.09.001⟩. ⟨hal-00670217v4⟩
  • Alexander Rahm, Mathias Fuchs. The integral homology of $PSL_2$ of imaginary quadratic integers with non-trivial class group. Journal of Pure and Applied Algebra, Elsevier, 2011, 215, pp.1443-1472. ⟨10.1016/j.jpaa.2010.09.005⟩. ⟨hal-00370722v12⟩
  • Alexander Rahm. Homology and K-theory of the Bianchi groups. Comptes Rendus. Mathématique, Académie des sciences (Paris), 2011, Volume 349 (Issues 11-12), pp.Pages 615-619. ⟨10.1016/j.crma.2011.05.014⟩. ⟨hal-00573929v2⟩

Preprints, Working Papers, ...5 documents

  • Bui Anh Tuan, Alexander Rahm, Matthias Wendt. On Farrell-Tate cohomology of GL(3) over rings of quadratic integers. 2020. ⟨hal-02435963⟩
  • Alexander Rahm, Matthias Wendt. On Farrell-Tate cohomology of SL_2 over S-integers. 2014. ⟨hal-01081081v2⟩
  • Rob de Jeu, Alexander Rahm. The image of the Borel-Serre bordification in algebraic K-theory. 2014. ⟨hal-00975454⟩
  • Alexander Rahm. Accessing the cohomology of discrete groups above their virtual cohomological dimension. 2013. ⟨hal-00618167v8⟩
  • Alexander Rahm, Noam Solomon, Tara Trauthwein, Barak Weiss. The distribution of rational numbers on Cantor's middle thirds set. 2010. ⟨hal-02550072⟩

Theses1 document

  • Alexander Rahm. (Co)homologies and K-theory of Bianchi groups using computational geometric models. Mathematics [math]. Université Joseph-Fourier - Grenoble I, 2010. English. ⟨tel-00526976v6⟩

Habilitation à diriger des recherches1 document

  • Alexander Rahm. Torsion Subcomplex Reduction. Mathematics [math]. Pierre et Marie Curie, Paris VI, 2017. ⟨tel-01708084⟩

Lectures1 document

  • Alexander Rahm. Statistique pour les Sciences de la Vie et de la Terre. Licence. Polynésie française. 2020. ⟨hal-03139390⟩