Gabriele Nebe

Gabriele Nebe (born 1967)[1] is a German mathematician with contributions in the theory of lattices, modular forms, spherical designs, and error-correcting codes.

Her dissertation, Endliche Rationale Matrixgruppen vom Grad 24 concerned the theory of finite matrix groups and was supervised by Wilhelm Plesken.

[3] Nebe is known for using integral representations of finite groups to construct explicit examples of discrete mathematical structures using computer algebra systems.

[2] These lattices represent the densest known sphere packings and the highest known kissing numbers in these dimensions.

Her discovery of an extremal unimodular lattice in 72 dimensions settled a long open problem.