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Mathematics, Statistics & Applied Mathematics
Alexander Rahm
Lecturer (Fixed Term) Doctor of Mathematics
Contact Details
Lecturer (Mathematics)
Mathematics, Statistics & Applied Mathematics
Office Aras de Brun 2002
T: +35391494488
E: Alexander.Rahm@nuigalway.ie
W: http://www.maths.nuigalway.ie/~rahm/
">http://www.maths.nuigalway.ie/~rahm/
Mathematics, Statistics & Applied Mathematics
Office Aras de Brun 2002
T: +35391494488
E: Alexander.Rahm@nuigalway.ie
W: http://www.maths.nuigalway.ie/~rahm/
">http://www.maths.nuigalway.ie/~rahm/
Biography
Research Interests
Research Projects
Project  Start Date  End Date  

30th Summer Conference on Topology and its Applications  23JUN15  26JUN15  
Torsion Subcomplex Reduction Research at Institut des Hautes Études Scientifiques (IHES)  
Constructing explicit elements in algebraic Ktheory  17APR16  30APR16  
Conference workshop Groups in Galway 2015  22MAY15  23MAY15  
Conference workshop "Groups in Galway 2014"  23MAY14  24MAY14  
Dimension computation of Bianchi modular forms  01JUL12  30JUN14 
Peer Reviewed Journals
Year  Publication  

(2015)  'A refinement of a conjecture of Quillen'
Alexander D. Rahm and Matthias Wendt (2015) 'A refinement of a conjecture of Quillen'. Comptes Rendus Mathematique, [Details] 

(2014)  'Accessing the cohomology of discrete groups above their virtual cohomological dimension'
Alexander D. Rahm (2014) 'Accessing the cohomology of discrete groups above their virtual cohomological dimension'. Journal Of Algebra, Accepted for publication [Details] 

(2014)  'Complexifiable characteristic classes'
Alexander D. Rahm (2014) 'Complexifiable characteristic classes'. Journal of Homotopy and Related Structures, [Details] 

(2014)  'The subgroup measuring the defect of the abelianization of $\rm SL_2(\Bbb Z[i])$'
Rahm, Alexander D. (2014) 'The subgroup measuring the defect of the abelianization of $\rm SL_2(\Bbb Z[i])$'. J. Homotopy Relat. Struct, 9 (2):257262 [DOI] [Details] 

(2013)  'The homological torsion of PSL_2 of the imaginary quadratic integers'
Rahm, AD (2013) 'The homological torsion of PSL_2 of the imaginary quadratic integers'. Transactions Of The American Mathematical Society, 365 :16031635 [DOI] [Details] 

(2013)  'Higher torsion in the Abelianization of the full Bianchi groups'
Rahm, AD (2013) 'Higher torsion in the Abelianization of the full Bianchi groups'. Lms Journal Of Computation And Mathematics, 16 :344365 [DOI] [Details] 

(2013)  'The subgroup measuring the defect of the Abelianization of SL_2(Z[i])'
A.~D.~Rahm (2013) 'The subgroup measuring the defect of the Abelianization of SL_2(Z[i])'. Journal of Homotopy and Related Structures, [ARAN Link] [Details] 

(2013)  'On Level One Cuspidal Bianchi Modular Forms'
A.~D.~Rahm and M.~H.~Sengun (2013) 'On Level One Cuspidal Bianchi Modular Forms'. Lms Journal Of Computation And Mathematics, 16 :187199 [DOI] [ARAN Link] [Details] 

(2012)  'On a question of Serre'
Rahm, AD (2012) 'On a question of Serre'. Comptes Rendus Mathematique, 350 :741744 [DOI] [ARAN Link] [Details] 

(2011)  'Homology and $K$theory of the Bianchi groups'
Rahm, Alexander D. (2011) 'Homology and $K$theory of the Bianchi groups'. C. R. Math. Acad. Sci. Paris, 349 (1112):615619 [DOI] [ARAN Link] [Details] 

(2011)  'The integral homology of $\rm PSL_2$ of imaginary quadratic integers with nontrivial class group'
Rahm, Alexander D. and Fuchs, Mathias (2011) 'The integral homology of $\rm PSL_2$ of imaginary quadratic integers with nontrivial class group'. J. Pure Appl. Algebra, 215 (6):14431472 [DOI] [ARAN Link] [Details] 
Conference Contributions
Year  Publication  

(2014)  Workshop on Bianchi and Siegel modular forms,
Alexander D. Rahm (2014) Lecture Bianchi modular forms of varying discriminant, level and weight. [Invited Lecture], Workshop on Bianchi and Siegel modular forms, University of Sheffield , 14JUL14  16JUL14. [Details] 

(2015)  DyToComp 2015  Dynamics, Topology and Computations,
Alexander D. Rahm (2015) A software for computations on the Dynamics and Topology of the Bianchi groups. [Invited Oral Presentation], DyToComp 2015  Dynamics, Topology and Computations, Mathematical Research and Conference Center in Będlewo, Poland , 15JUN15  20JUN15. [Details] 

(2015)  Atelier PARI/GP 2015,
Alexander D. Rahm (2015) Bianchi groups computation with PARI. [Invited Oral Presentation], Atelier PARI/GP 2015, Université de Bordeaux , 12JAN15  16JAN15. [Details] 

(2012)  6th de Brun Workshop Linear Algebra and Matrix Theory: connections, applications and computations,
Alexander D. Rahm (2012) Closing Talk: A new technique to extract invariants of matrix groups. [Keynote Address], 6th de Brun Workshop Linear Algebra and Matrix Theory: connections, applications and computations, NUI Galway , 03DEC12  07DEC12. [Details] 

(2012)  Torsion in the homology of arithmetic groups: geometry, arithmetic, and computation,
Alexander D. Rahm (2012) Accessing the FarrellTate cohomology of discrete groups. [Invited Oral Presentation], Torsion in the homology of arithmetic groups: geometry, arithmetic, and computation, Banff International Research Station for Mathematical Innovation and Discovery, Canada , 01JUL12  06JUL12. [Details] 

(2011)  London Mathematical Society  EPSRC Durham Symposium: Geometry and Arithmetic of Lattices,
Alexander D. Rahm (2011) Implications of hyperbolic geometry to operator Ktheory of artihmetic groups. [Invited Oral Presentation], London Mathematical Society  EPSRC Durham Symposium: Geometry and Arithmetic of Lattices, Durham, England , 04JUL11  14JUL11. [Details] 

(2009)  17th öMG Congress and Annual DMV Meeting, Graz, Austria,
Alexander D. Rahm (2009) The integral homology of PSL_2 of imag. quad. int. of class number two. [Invited Oral Presentation], 17th öMG Congress and Annual DMV Meeting, Graz, Austria, TU Graz, Autria , 20SEP09  25JAN09. [Details] 

(2007)  Summer School in Algebraic Topology: Sheaf theoretic methods in the theory of characteristic classes,
Alexander D. Rahm (2007) Characteristic classes of complexified bundles. [Invited Oral Presentation], Summer School in Algebraic Topology: Sheaf theoretic methods in the theory of characteristic classes, Université Lille 1 , 11JUN07  15JUN07. [Details] 

(2006)  Young Topologists and new topology at the Banach Mathematical Center and Conference Center,
Alexander D. Rahm (2006) Characteristic classes of real generator bundles. [Invited Oral Presentation], Young Topologists and new topology at the Banach Mathematical Center and Conference Center, Bedlewo, Poland , 28AUG06  02SEP06. [Details] 
Conference Paper
Year  Publication  

(2007)  Characteristic classes of complexified bundles.
Alexander D. Rahm (2007) Characteristic classes of complexified bundles. Lille 2007: Conference Paper [Details] 
Research Paper
Year  Publication  

(2014)  The image of the BorelSerre bordification in algebraic Ktheory.
Rob de Jeu and Alexander D. Rahm (2014) The image of the BorelSerre bordification in algebraic Ktheory. Research Paper [Details] 

(2014)  On FarrellTate cohomology of SL_2 over Sintegers.
Alexander D. Rahm and Matthias Wendt (2014) On FarrellTate cohomology of SL_2 over Sintegers. Research Paper [Details] 

(2014)  The mod 2 cohomology rings of SL$_2$ of the imaginary quadratic integers.
Ethan Berkove and Alexander D. Rahm (2014) The mod 2 cohomology rings of SL$_2$ of the imaginary quadratic integers. Research Paper [Details] 

(2013)  Chen/Ruan orbifold cohomology of the Bianchi groups.
Alexander D. Rahm (2013) Chen/Ruan orbifold cohomology of the Bianchi groups. Research Paper [Details] 
Research Seminar
Year  Publication  

(2015)  Pure Mathematics Colloquium of University of Southampton: Bredon homology calculation techniques.
Alexander D. Rahm (2015) Pure Mathematics Colloquium of University of Southampton: Bredon homology calculation techniques. Research Seminar [Details] 

(2015)  Séminaire Arithmétique et Théorie de l'Information (ATI) of the Institut de Mathématiques de Luminy: Méthodes cohomologiques pour les formes modulaires de Bianchi.
Alexander D. Rahm (2015) Séminaire Arithmétique et Théorie de l'Information (ATI) of the Institut de Mathématiques de Luminy: Méthodes cohomologiques pour les formes modulaires de Bianchi. Research Seminar [Details] 

(2015)  Algebra Seminar, University of Glasgow: From a question of Serre to the QuillenWendt conjecture.
Alexander D. Rahm (2015) Algebra Seminar, University of Glasgow: From a question of Serre to the QuillenWendt conjecture. Research Seminar [Details] 

(2015)  Seminar talk at Universitaet Giessen, Germany.
Alexander D. Rahm (2015) Seminar talk at Universitaet Giessen, Germany. Research Seminar [Details] 

(2014)  Seminar talk at Université de Neuchâtel: An access to Bredon homology.
Alexander D. Rahm (2014) Seminar talk at Université de Neuchâtel: An access to Bredon homology. Research Seminar [Details] 

(2014)  Seminar on Euler Systems/Arithmetic Geometry, U. DuisburgEssen: The image of the BorelSerre bordification in algebraic Ktheory.
Alexander D. Rahm (2014) Seminar on Euler Systems/Arithmetic Geometry, U. DuisburgEssen: The image of the BorelSerre bordification in algebraic Ktheory. Research Seminar [Details] 

(2013)  Séminaire Algèbre et topologie, IRMA Strasbourg: Calculs efficaces au dessus de la dimension cohomologique virtuelle.
Alexander D. Rahm (2013) Séminaire Algèbre et topologie, IRMA Strasbourg: Calculs efficaces au dessus de la dimension cohomologique virtuelle. Research Seminar [Details] 

(2013)  Seminar of the Institute of Physics and Mathematics at Universidad Austral de Chile (UACh), Valdivia: Group Actions and Orbit Spaces.
Alexander D. Rahm (2013) Seminar of the Institute of Physics and Mathematics at Universidad Austral de Chile (UACh), Valdivia: Group Actions and Orbit Spaces. Research Seminar [Details] 

(2013)  Seminar talk at Universitaet Giessen, Germany: Determination of torsion invariants of arithmetic groups.
Alexander D. Rahm (2013) Seminar talk at Universitaet Giessen, Germany: Determination of torsion invariants of arithmetic groups. Research Seminar [Details] 

(2012)  Seminar talk at Vrije Universiteit Amsterdam: The arithmetic of symmetric spaces.
Alexander D. Rahm (2012) Seminar talk at Vrije Universiteit Amsterdam: The arithmetic of symmetric spaces. Research Seminar [Details] 

(2012)  Seminar talk at Universität Freiburg: Reduktion von Torsionsunterkomplexen und Konjugiertenklassengraphen.
Alexander D. Rahm (2012) Seminar talk at Universität Freiburg: Reduktion von Torsionsunterkomplexen und Konjugiertenklassengraphen. Research Seminar [Details] 

(2012)  Seminar talk at University College Dublin: Torsion subcomplex reduction and conjugacy classes graphs.
Alexander D. Rahm (2012) Seminar talk at University College Dublin: Torsion subcomplex reduction and conjugacy classes graphs. Research Seminar [Details] 

(2012)  Séminaire du laboratoire LSIIT Strasbourg: Homologie calculatoire de groupes modulaires.
Alexander D. Rahm (2012) Séminaire du laboratoire LSIIT Strasbourg: Homologie calculatoire de groupes modulaires. Research Seminar [Details] 

(2011)  Seminar on Representation Theory and Algebraic Geometry, W.I.S.: Numbertheoretic formulae for the homological torsion of the Bianchi groups.
Alexander D. Rahm (2011) Seminar on Representation Theory and Algebraic Geometry, W.I.S.: Numbertheoretic formulae for the homological torsion of the Bianchi groups. Research Seminar [Details] 

(2011)  Seminar talk at Technische Universität Darmstadt: Polyhedral models for arithmetic groups.
Alexander D. Rahm (2011) Seminar talk at Technische Universität Darmstadt: Polyhedral models for arithmetic groups. Research Seminar [Details] 

(2011)  Séminaire Théorie des Nombres de Bordeaux: La conjecture de Baum/Connes  un accès explicite.
Alexander D. Rahm (2011) Séminaire Théorie des Nombres de Bordeaux: La conjecture de Baum/Connes  un accès explicite. Research Seminar [Details] 

(2011)  Séminaire Algèbre et topologie, IRMA Strasbourg: Modèles cellulaires pour des groupes arithmétiques.
Alexander D. Rahm (2011) Séminaire Algèbre et topologie, IRMA Strasbourg: Modèles cellulaires pour des groupes arithmétiques. Research Seminar [Details] 

(2011)  Hebrew University of Jerusalem, Amitsur Algebra seminar: Stringy orbifolds.
Alexander D. Rahm (2011) Hebrew University of Jerusalem, Amitsur Algebra seminar: Stringy orbifolds. Research Seminar [Details] 

(2011)  GdT. Géométrie hyperbolique et surfaces de Riemann, Univ. Paris 7, Inst. Math. Jussieu: La torsion homologique de SL_2 d'anneaux d'entiers.
Alexander D. Rahm (2011) GdT. Géométrie hyperbolique et surfaces de Riemann, Univ. Paris 7, Inst. Math. Jussieu: La torsion homologique de SL_2 d'anneaux d'entiers. Research Seminar [Details] 

(2010)  Seminar on Representation Theory and Algebraic Geometry, W.I.S.: (Co)homologies and Ktheory of Bianchi groups using computational geometric models.
Alexander D. Rahm (2010) Seminar on Representation Theory and Algebraic Geometry, W.I.S.: (Co)homologies and Ktheory of Bianchi groups using computational geometric models. Research Seminar [Details] 

(2009)  Séminaire Algèbre et Géométries, Grenoble: Domaines fondamentaux pour groupes de matrices sur des entiers quadratiques imaginaires.
Alexander D. Rahm (2009) Séminaire Algèbre et Géométries, Grenoble: Domaines fondamentaux pour groupes de matrices sur des entiers quadratiques imaginaires. Research Seminar [Details] 

(2009)  Seminar talk at National University of Ireland at Galway: The integral homology of PSL_2 of imaginary quadratic integers with nontrivial class group.
Alexander D. Rahm (2009) Seminar talk at National University of Ireland at Galway: The integral homology of PSL_2 of imaginary quadratic integers with nontrivial class group. Research Seminar [Details] 

(2009)  Research Seminar Comp. Algebra & Number Theory, Düsseldorf: The integral homology of PSL_2 of imaginary quadratic integers.
Alexander D. Rahm (2009) Research Seminar Comp. Algebra & Number Theory, Düsseldorf: The integral homology of PSL_2 of imaginary quadratic integers. Research Seminar [Details] 

(2009)  Conférence de l'Institut Fourier, Autrans: Homologie de groupes discrets d'isométries de l'espace hyperbolique.
Alexander D. Rahm (2009) Conférence de l'Institut Fourier, Autrans: Homologie de groupes discrets d'isométries de l'espace hyperbolique. Research Seminar [Details] 

(2009)  Séminaire Théorie des Nombres de Montpellier.
Alexander D. Rahm (2009) Séminaire Théorie des Nombres de Montpellier. Research Seminar [Details] 

(2009)  Alg., Géom. Alg., Top. Alg., I3M Montpellier: Homologie à coefficients entiers de PSL_2 sur des anneaux d'entiers quadratiques imaginaires.
Alexander D. Rahm (2009) Alg., Géom. Alg., Top. Alg., I3M Montpellier: Homologie à coefficients entiers de PSL_2 sur des anneaux d'entiers quadratiques imaginaires. Research Seminar [Details] 

(2006)  Seminar talk at Math. Institut, Universität Tübingen: The Lefschetz hyperplane intersection theorem.
Alexander D. Rahm (2006) Seminar talk at Math. Institut, Universität Tübingen: The Lefschetz hyperplane intersection theorem. Research Seminar [Details] 

(2006)  Séminaire Gaston Darboux, I3M Montpellier: Variétés pseudoriemanniennes et réductions de fibrés principaux.
Alexander D. Rahm (2006) Séminaire Gaston Darboux, I3M Montpellier: Variétés pseudoriemanniennes et réductions de fibrés principaux. Research Seminar [Details] 
Thesis
Year  Publication  

(2010)  (Co)homologies et Kthéorie de groupes de Bianchi par des modèles géométriques calculatoires.
Alexander D. Rahm (2010) (Co)homologies et Kthéorie de groupes de Bianchi par des modèles géométriques calculatoires. Thesis [ARAN Link] [Details] 
Honours and Awards
Year  Title  Awarding Body  

2010  Certificat de Compétences en Calcul Intensif (C3I)  Conférences des Présidents d’Universités (CPU), GENCI and Maison de la simulation 
Professional Associations
Association  Function  From / To  

Irish Mathematical Society (IMS)  Member  20JAN14 /  
European Mathematical Society (EMS)  Member  01JAN14 /  
Société Mathématique de France (SMF)  Member  01OCT07 / 31AUG46  
Deutsche MathematikerVereinigung (DMV)  Member  01OCT07 / 31AUG47 
Committees
Committee  Function  From / To  

Research Matters, NUI Galway, Editorial Board  Editorial Board member  01SEP14 /  
Research Committee of the Senate of Universität Göttingen  Member  01OCT07 / 31AUG09  
Strategy Committee of the Senate of Universität Göttingen  Member  01OCT09 / 31AUG10  
Research Committee of the School of Mathematics, Statistics and Applied Mathematics  Profiles delegate  01SEP13 /  
Outreach & Communication Committee of the School of Mathematics, Statistics and Applied Mathematics  Acting member  01SEP13 / 
Employment
Employer  Position  From / To  

Irish Research Council for Science, Engineering and Technology  PosrDoctoral Research Fellow (EMPOWER scheme)  15NOV11 / 31AUG13  
Weizmann Institute of Science  Department of Mathematics (WISDoM)  Postdoctoral Research Fellow  09NOV10 / 08NOV11  
National University of Ireland, Galway  Lecturer of Mathematics  01SEP13 / 
Languages
Language  

English  
French  
Italian  
German 