## Alexander Rahm

Lecturer (Fixed Term) Doctor of Mathematics

### Contact Details

Lecturer (Mathematics)
Mathematics, Statistics & Applied Mathematics
Office Aras de Brun 2002

T: +353-91-49-4488
E: Alexander.Rahm@nuigalway.ie
W: http://www.maths.nuigalway.ie/~rahm/
">http://www.maths.nuigalway.ie/~rahm/

### Biography

2001, Abitur (degree for entering universities in Germany), Main-Taunus-Schule (Gymnasium) Hofheim am Taunus, Germany

2003, Vordiplom Physik, Universität Göttingen, Germany

2004, Licence de Mathématiques, Université Montpellier II, France

2007, Diplom Mathematik, Mathematisches Institut, Universität Göttingen, Germany

2010, Binational doctoral degree (Cotutelle de thèse), with the advisors

Prof. Dr. Philippe Elbaz-Vincent , at the Institut Fourier, Université Joseph Fourier Grenoble, France

and Prof. Dr. Thomas Schick, Mathematisches Institut, Universität Göttingen, Germany.

Supported by a research grant of the Ministère de l'Enseignement Supérieur et de la Recherche, and partially supported by DFH-UFA grant CT-26-07-I and by a DAAD (German Academic Exchange Service) grant.

The intensive computations award C3I has been attributed to this thesis.

The thesis was defended October 15th, 2010, Grenoble. It can be downloaded from the server TEL of the CNRS.

The iterated advisors of my advisors can be found in my mathematics genealogy graph.

I am grateful for a Research stay at the I3M Montpellier during my doctoral studies.

### Post-doctoral scientific research:

2010-2011, Research fellow of the Weizmann Institute of Science, Department of Mathematics.
Mentor: Prof. Dr. Stephen S. Gelbart.

2011-2013, Research fellow of the Irish Research Council for Science, Engineering and Technology. Affiliated to the National University of Ireland at Galway, Department of Mathematics. Mentor: Prof. Dr. Graham J. Ellis.

Since 2013, Lecturer of Mathematics at National University of Ireland, Galway.

### Research Interests

Algebra, Geometry and Topology, for instance:

- Classifying Space for proper actions;

- Discrete subgroups of Lie groups;

- Discontinuous groups of transformations;

- Isometries of Hyperbolic Space;

- And many others.

A detailed description of my current research projects is given here.

You can watch a video of a talk I gave at a Banff workshop on the Torsion Sub-complex Reduction technique that I have introduced.

Torsion Sub-complex Reduction

Torsion Sub-complex Reduction is a technique which I have developed for the computation of the torsion in the cohomology of discrete groups. Initially, I did develop this technique specifically for the Bianchi groups; later I did put it into a more general framework.
Some elements of this technique have beforehand already been used as ad hoc tricks by Soulé, and later by Mislin and Henn.
The advantage of using a systematic technique rather than a set of ad-hoc tricks, is that instead of merely helping isolated example calculations, it becomes possible to find general formulae, as I did for instance for all of the Bianchi groups for all of the cohomology
above the virtual cohomological dimension. On the Bianchi groups, I have successfully transplanted my technique to the Bredon homology computations for topological K-theory, where so far only isolated examples had been calculated, and I expect to find general formulae for large classes of groups relevant for the Baum-Connes conjecture. This promises a big impact both for cases in which the Baum-Connes conjecture has been proved, and where hence the formulae will extend to Operator K-theory, and for cases in which the Baum-Connes conjecture is still open, and where progress on the Operator K-theory side could be made.
It is convenient to give some examples of where the technique of Torsion Subcomplex Reduction has already produced good results:
• The Bianchi groups,
• The Coxeter groups,
• The SL2 groups over arbitrary number rings.

The Bianchi groups.
In the case of the Bianchi groups (the PSL2 groups over rings of imaginary quadratic integers), the Torsion Subcomplex Reduction technique has permitted me to find a description of the cohomology ring of these groups in terms of elementary
number-theoretic quantities; see my paper

Accessing the cohomology of discrete groups above their virtual cohomological dimension,
J. Algebra 404 (2014), 152-175. MR3177890.

The decisive step has been to extract, using Torsion Subcomplex Reduction, the essential information about the geometric models, and then to detach this information completely from the model. I was hence able to show that this information is contained in conjugacy classes graphs, which I construct for this purpose for an arbitrary group from its system of conjugacy classes of finite subgroups.

The Coxeter groups. Recall that the Coxeter groups are generated by reflections; and their homology consists uniquely of torsion. Torsion Subcomplex Reduction hence allows to obtain all of the homology of all of the tetrahedral Coxeter groups at all odd prime numbers, both in a general formula and in terms of explicit tables [see my above quoted paper].

The SL_2 groups over arbitrary number rings. In collaboration with Matthias Wendt, I have established formulae for the Farrell-Tate cohomology with odd torsion coefficients for all groups SL2 (A), where A is a ring of S-integers in an arbitrary number field; see my joint paper with Matthias Wendt,

On Farrell-Tate cohomology of SL_2 over S-integers,

https://hal.archives-ouvertes.fr/hal-01081081,

Wendt has furthermore extended this to the cases where A is the ring of functions on a smooth affine curve over an algebraically closed field. These two results together have allowed Wendt to find a refined version of the Quillen conjecture, which keeps track of all the types of known counterexamples to the original Quillen conjecture; see our joint paper

A refinement of a conjecture of Quillen,
accepted for publication in Comptes Rendus Mathématique of the Académie des Sciences - Paris
.

So if there does not exist any counterexample of completely new type to the original Quillen conjecture, then the Quillen-Wendt conjecture must be true.

### Research Projects

Project Start Date End Date
30th Summer Conference on Topology and its Applications 23-JUN-15 26-JUN-15
Torsion Subcomplex Reduction Research at Institut des Hautes Études Scientifiques (IHES)
Constructing explicit elements in algebraic K-theory 17-APR-16 30-APR-16
Conference workshop Groups in Galway 2015 22-MAY-15 23-MAY-15
Conference workshop "Groups in Galway 2014" 23-MAY-14 24-MAY-14
Dimension computation of Bianchi modular forms 01-JUL-12 30-JUN-14

### 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):257-262 [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 :1603-1635 [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 :344-365 [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 :187-199 [DOI] [ARAN Link] [Details]
(2012) 'On a question of Serre'
Rahm, AD (2012) 'On a question of Serre'. Comptes Rendus Mathematique, 350 :741-744 [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 (11-12):615-619 [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):1443-1472 [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 , 14-JUL-14 - 16-JUL-14. [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 , 15-JUN-15 - 20-JUN-15. [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 , 12-JAN-15 - 16-JAN-15. [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 , 03-DEC-12 - 07-DEC-12. [Details]
(2012) Torsion in the homology of arithmetic groups: geometry, arithmetic, and computation,
Alexander D. Rahm (2012) Accessing the Farrell-Tate 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 , 01-JUL-12 - 06-JUL-12. [Details]
(2011) London Mathematical Society - EPSRC Durham Symposium: Geometry and Arithmetic of Lattices,
Alexander D. Rahm (2011) Implications of hyperbolic geometry to operator K-theory of artihmetic groups. [Invited Oral Presentation], London Mathematical Society - EPSRC Durham Symposium: Geometry and Arithmetic of Lattices, Durham, England , 04-JUL-11 - 14-JUL-11. [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 , 20-SEP-09 - 25-JAN-09. [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 , 11-JUN-07 - 15-JUN-07. [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 , 28-AUG-06 - 02-SEP-06. [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 Borel-Serre bordification in algebraic K-theory.
Rob de Jeu and Alexander D. Rahm (2014) The image of the Borel-Serre bordification in algebraic K-theory. Research Paper [Details]
(2014) On Farrell-Tate cohomology of SL_2 over S-integers.
Alexander D. Rahm and Matthias Wendt (2014) On Farrell-Tate cohomology of SL_2 over S-integers. 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 Quillen-Wendt conjecture.
Alexander D. Rahm (2015) Algebra Seminar, University of Glasgow: From a question of Serre to the Quillen-Wendt 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. Duisburg-Essen: The image of the Borel-Serre bordification in algebraic K-theory.
Alexander D. Rahm (2014) Seminar on Euler Systems/Arithmetic Geometry, U. Duisburg-Essen: The image of the Borel-Serre bordification in algebraic K-theory. 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.: Number-theoretic formulae for the homological torsion of the Bianchi groups.
Alexander D. Rahm (2011) Seminar on Representation Theory and Algebraic Geometry, W.I.S.: Number-theoretic 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 K-theory of Bianchi groups using computational geometric models.
Alexander D. Rahm (2010) Seminar on Representation Theory and Algebraic Geometry, W.I.S.: (Co)homologies and K-theory 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 non-trivial 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 non-trivial 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 K-théorie de groupes de Bianchi par des modèles géométriques calculatoires.
Alexander D. Rahm (2010) (Co)homologies et K-théorie 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 20-JAN-14 /
European Mathematical Society (EMS) Member 01-JAN-14 /
Société Mathématique de France (SMF) Member 01-OCT-07 / 31-AUG-46
Deutsche Mathematiker-Vereinigung (DMV) Member 01-OCT-07 / 31-AUG-47

### Committees

Committee Function From / To
Research Matters, NUI Galway, Editorial Board Editorial Board member 01-SEP-14 /
Research Committee of the Senate of Universität Göttingen Member 01-OCT-07 / 31-AUG-09
Strategy Committee of the Senate of Universität Göttingen Member 01-OCT-09 / 31-AUG-10
Research Committee of the School of Mathematics, Statistics and Applied Mathematics Profiles delegate 01-SEP-13 /
Outreach & Communication Committee of the School of Mathematics, Statistics and Applied Mathematics Acting member 01-SEP-13 /

### Employment

Employer Position From / To
Irish Research Council for Science, Engineering and Technology Posr-Doctoral Research Fellow (EMPOWER scheme) 15-NOV-11 / 31-AUG-13
Weizmann Institute of Science - Department of Mathematics (WISDoM) Post-doctoral Research Fellow 09-NOV-10 / 08-NOV-11
National University of Ireland, Galway Lecturer of Mathematics 01-SEP-13 /

Language
English
French
Italian
German

### Teaching Interests

• Pure Mathematics
• Cryptography
• Mathematics applied to Physics
• Mathematics applied to Chemistry
• Mathematics applied to Biology
• Mathematics applied to Economics

• Lecturing activities:

Summer semester 2014/2015: Cryptography.

Winter semester 2014/2015: Quantitative Techniques for Business
and
Mathematical and Logical Aspects of Computing
.

Summer semester 2013/2014: Calculus II
and
Cryptography
.

Winter semester 2013/2014: Quantitative Techniques for Business
and
Mathematical and Logical Aspects of Computing
.

Summer semester 2012/2013: Lecture series "Discrete groups and torsion subcomplexes" at the Graduiertenkolleg Cohomological Methods in Geometry, University of Freiburg, Germany.

Winter semester 2012/2013: Quantitative Techniques for Business.

2011/2012: Graduate course in Arithmetic.

Further teaching, administration and social activities of Alexander D. Rahm

 Since 2014 Member of the Irish Mathematical Society (IMS) and the European Mathematical Society (EMS) 2010 Co-organizer of the workshop Geometry and Physics of the Landau-Ginzburg model 2009/2010 Member of the Strategy Commission, Senate of Univ. Göttingen 2007 - 2009 Member of the Research Commission, Senate of Univ. Göttingen Since 2007 Member of the Deutsche Mathematiker-Vereinigung (DMV) and the Société Mathématique Francaise (SMF) 2007 Adjointly in charge of the undergraduate seminar class in algebraic geometry and algebraic topology 2003, 2007 Volunteer at the Mathematics comptetition of Lower Saxony 2001-2010 Volunteer at the aged persons centre EVIM, Hattersheim am Main 2000-2010 Volunteer at the German Technical Relief agency THW

Homepage of Alexander D. Rahm