LDfM

Prof. Dr. Gabriele Nebe


Office: Templergraben 64, room 222
Telefon: (0241) 80 - 94545
Fax: (0241) 80 - 92108
E-mail:

Mailing adress:

Lehrstuhl D für Mathematik
RWTH Aachen
Templergraben 64
52062 Aachen
o I am Professor at the
Lehrstuhl D für Mathematik of the RWTH Aachen.
My current research interests are
integral representations of finite groups,
lattices, spherical designs and modular forms,
and their analogues in coding theory.
You will find a brief CV (in german) if you click here.
o
Preprints
Talks
Diploma-Theses
PhD-Theses.
Lectures

The research training group Experimental and constructive algebra started in october 2010.


o Together with Neil J. A. Sloane we are building a database of interesting lattices

On august 11 2010 I found an extremal even unimodular lattice of dimension 72. A new version of the paper can be downloaded here.
Magma code to construct this lattice is found here
Construction of the extremal lattice.
Computation of super offenders in all 9 lattices
Computation of the norm 6 vectors in all 9 lattices using an orthogonally decomposable overlattice.


In the paper On Siegel modular forms of weight 12 ( pdf-file) with B. Venkov,
we calculate the action of some Hecke operators on the space generated by the 24 Niemeier lattices.
You get the Hecke operators and the eigenforms in maple format if you click here.
The structure constants for the multiplication of the eigenforms are in the big maple-file multiplication.
The absolutely irreducible maximal finite subgroups of GL(n,D)
for definite quaternion algebras D of dimension less than 40/n over the rationals
are classified in my paper Finite quaternionic matrix groups. ( pdf-file of a preprint)
You find invariant Hermitian lattices for the about 300 primitive groups in 93 magma-readable files if you click here.

o links
o Fachgruppe Mathematik der RWTH
o Lehrstuhl B für Mathematik der RWTH Aachen
o Catalogue of lattices
o MAGMA
o ATLAS
o The prime page
o The number theory web
o Women in Number Theory
o Gleichstellungsbeauftragte der RWTH
o Groups, Representations and Cohomology Preprint Archive
o LANL Preprint Archive
o Biographies of women mathematicians
o Archiv der Mathematik
o Mathematik Online
o GOOGLE

Diese Seite ist auch auf Deutsch erhältlich.

Haftungsausschluss

o