Prof. Dr. Gabriele Nebe

Office: Pontdriesch 14/16, room 117

Mailing adress:

Lehrstuhl für Algebra und Zahlentheorie
RWTH Aachen
52056 Aachen
o I am Professor at the
Lehrstuhl für Algebra und Zahlentheorie 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.
Current editorships

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

Database for unit groups of orders

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 The first colombian workshop in coding theory
o The number theory web
o Women in Number Theory
o LANL Preprint Archive
o Biographies of women mathematicians
o Archiv der Mathematik

Diese Seite ist auch auf Deutsch erhältlich.