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RAHM Alexander

Main Referenced Co-authors
Bui, Anh Tuan (3)
Wendt, Matthias (3)
Berkove, Ethan (2)
Arora, Sarthak (1)
Atashpendar, Arshia (1)
Main Referenced Keywords
19L47, Equivariant K-theory (1); 55N32, Orbifold cohomology (1); 55N91, Equivariant homology and cohomology. (1); Cohomology of arithmetic groups (1); Complex fluids (1);
Main Referenced Unit & Research Centers
Mathematics Research Unit of University of Luxembourg - RMATH (1)
University of Trieste, the group GNSAGA of INDAM (1)
Main Referenced Disciplines
Mathematics (22)
Physics (1)

Publications (total 23)

The most downloaded
1305 downloads
RAHM, A. (2012). On a question of Serre. Comptes Rendus. Mathématique, 350 (15-16), 741--744. doi:10.1016/j.crma.2012.09.001 https://hdl.handle.net/10993/23280

The most cited

35 citations (OpenAlex)

RAHM, A., & Fuchs, M. (2011). The integral homology of $ PSL_2$ of imaginary quadratic integers with nontrivial class group. Journal of Pure and Applied Algebra, 215 (6), 1443--1472. doi:10.1016/j.jpaa.2010.09.005 https://hdl.handle.net/10993/23361

Bui, A. T., RAHM, A., & Wendt, M. (July 2019). The Farrell--Tate and Bredon homology for PSL_4(Z) via cell subdivisions. Journal of Pure and Applied Algebra, 223 (7), 2872-2888. doi:10.1016/j.jpaa.2018.10.002
Peer Reviewed verified by ORBi

Perroni, F., & RAHM, A. (2019). On the Cohomological Crepant Resolution Conjecture for the complexified Bianchi orbifolds. Algebraic and Geometric Topology. doi:10.2140/agt.2019.19.2715
Peer Reviewed verified by ORBi

RAHM, A. (2019). Bianchi's additional symmetries. ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/40029.

RAHM, A., & TSAKNIAS, P. (2019). Genuine Bianchi modular forms of higher level, at varying weight and discriminant. Journal de Théorie des Nombres de Bordeaux, 31 (1), 27-48. doi:10.5802/jtnb.1067
Peer Reviewed verified by ORBi

Berkove, E., Lakeland, G., & RAHM, A. (2019). The mod 2 cohomology rings of congruence subgroups in the Bianchi groups. ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/38174.

Atashpendar, A., Arora, S., RAHM, A., & Schilling, T. (18 December 2018). Simulation study of the electrical tunneling network conductivity of suspensions of hard spherocylinders. Physical Review. E, 98, 062611. doi:10.1103/PhysRevE.98.062611
Peer Reviewed verified by ORBi

Lafont, J.-F., Ortiz, I., RAHM, A., & Sanchez-Garcia, R. (01 December 2018). Equivariant K-homology for hyperbolic reflection groups. The Quarterly Journal of Mathematics, 69 (4), 1475-1505. doi:10.1093/qmath/hay030
Peer reviewed

RAHM, A., & Wendt, M. (October 2018). On Farrell-Tate cohomology of SL_2 over S-integers. Journal of Algebra, 512, 427-464. doi:10.1016/j.jalgebra.2018.06.031
Peer Reviewed verified by ORBi

Bui, A. T., & RAHM, A. (2017). Bounds for the mod 2 cohomology of GL_2(Z[sqrt(-2)][1/2]). (Final version - this paper is not intended for journal publication). ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/40155.

RAHM, A. (Other coll.). (2016). Report on the Oberwolfach Workshop "Computations in the Cohomology of Arithmetic Groups". Oberwolfach Reports.

RAHM, A., & Berkove, E. (2016). The mod 2 cohomology rings of SL_2 of the imaginary quadratic integers. Journal of Pure and Applied Algebra, 220, 944-975. doi:10.1016/j.jpaa.2015.08.002
Peer Reviewed verified by ORBi

RAHM, A. (2016). On the equivariant K-homology of PSL_2 of the imaginary quadratic integers. Annales de l'Institut Fourier, 66 (4), 1667-1689.
Peer Reviewed verified by ORBi

RAHM, A., & Wendt, M. (2015). A refinement of a conjecture of Quillen. Comptes Rendus. Mathématique, 353 (9), 779--784. doi:10.1016/j.crma.2015.03.022
Peer reviewed

RAHM, A. (2015). Complexifiable characteristic classes. Journal of Homotopy and Related Structures, 10 (3), 537--548. doi:10.1007/s40062-013-0074-z
Peer Reviewed verified by ORBi

RAHM, A. (2014). Accessing the cohomology of discrete groups above their virtual cohomological dimension. Journal of Algebra, 404, 152--175. doi:10.1016/j.jalgebra.2014.01.025
Peer reviewed

RAHM, A. (2014). The subgroup measuring the defect of the abelianization of $ SL_2(\Bbb Z[i])$. Journal of Homotopy and Related Structures, 9 (2), 257--262. doi:10.1007/s40062-013-0023-x
Peer Reviewed verified by ORBi

RAHM, A. (2013). The homological torsion of $PSL_2$ of the imaginary quadratic integers. Trans. Amer. Math. Soc, 365 (3), 1603--1635. doi:10.1090/S0002-9947-2012-05690-X
Peer reviewed

RAHM, A. (2013). Higher torsion in the Abelianization of the full Bianchi groups. Journal of Homotopy and Related Structures, 16, 344--365. doi:10.1112/S1461157013000168
Peer reviewed

RAHM, A., & Şengün, M. H. (2013). On level one cuspidal Bianchi modular forms. Journal of Homotopy and Related Structures, 16, 187--199. doi:10.1112/S1461157013000053
Peer reviewed

RAHM, A. (2012). On a question of Serre. Comptes Rendus. Mathématique, 350 (15-16), 741--744. doi:10.1016/j.crma.2012.09.001
Peer reviewed

RAHM, A., & Fuchs, M. (2011). The integral homology of $ PSL_2$ of imaginary quadratic integers with nontrivial class group. Journal of Pure and Applied Algebra, 215 (6), 1443--1472. doi:10.1016/j.jpaa.2010.09.005
Peer Reviewed verified by ORBi

RAHM, A. (2011). Homology and $K$-theory of the Bianchi groups. Comptes Rendus. Mathématique, 349 (11-12), 615--619. doi:10.1016/j.crma.2011.05.014
Peer reviewed

RAHM, A., & Bui, A. T. (n.d.). Verification of the Quillen conjecture in the rank 2 imaginary quadratic case. ORBilu-University of Luxembourg. https://orbilu.uni.lu/handle/10993/39373.

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