Name Gabriele Nebe | ||
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Institutions RWTH Aachen UniversityUlm University Known for Online Catalogue of Lattices Books Self-Dual Codes and Invariant Theory, Finite Rational Matrix Groups Institution RWTH Aachen University, University of Ulm | ||
Gabriele Nebe is a German mathematician with contributions in the theory of lattices, modular forms, spherical designs, and error-correcting codes. With Neil Sloane, she maintains the Online Catalogue of Lattices. She is a professor in the department of mathematics at RWTH Aachen University.
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Research highlights
Nebe is known for using integral representations of finite groups to construct explicit examples of discrete mathematical structures using computer algebra systems. Her constructions include extremal even unimodular lattices in 48, 56, and 72 dimensions and an extremal 3-modular lattice in 64 dimensions. 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.