Gabriele Nebe

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Gabriele Nebe (born May 21, 1967 in Aachen ) is a German mathematician who deals with lattices , modular shapes, spherical designs, coding theory and finite groups and their integer representations, and generally with the explicit construction of discrete structures, including computer algebra (magma).

Gabriele Nebe, Oberwolfach 2005

From 1986, Nebe studied mathematics at RWTH Aachen University , where she graduated in 1990 and received her doctorate in 1995 with Wilhelm Plesken ( finite rational matrix groups, grade 24 ). Her dissertation received the Borchers plaque and the Friedrich Wilhelm Prize from RWTH Aachen University. As a post-doctoral student , she was at the University of Bordeaux with Jacques Martinet and in 1999 at Bell Laboratories with Neil JA Sloane . In 1999 she qualified as a professor in Aachen ( orthogonal representations of finite groups and group rings ) and was professor at the University of Ulm from 2000 to 2004 (she turned down an appointment at the University of Bordeaux). In 2004 she became a professor at RWTH Aachen University.

In 2003 and 2004 she was visiting scholar at the Ecole Polytechnique in Lausanne with Eva Bayer-Fluckiger , in 2003 at Harvard with Benedict Gross and in 2006 and 2008 at the University of Sydney with John Cannon . She also worked with Boris Borissowitsch Wenkow .

In 2010 she constructed an extreme straight unimodular grid in dimension 72 and thus solved a long open problem. Such grids were previously known in dimensions 24 ( Leech grids ) and 48. Unimodular grids in particular have applications in string theory (especially in dimension 16).

In 2002 she received the Merckle Research Award.

She has been co-editor of the DMV's annual report since 2008 and of the Mathematics Archives since 2003.

Fonts

  • with Wilhelm Plesken Finite rational matrix groups , American Mathematical Society 1995 (Memoirs AMS 556)
  • with Eric Rains, Neil JA Sloane Self dual codes and invariant theory , Springer Verlag 2006 (Algorithms and computation in mathematics 17)
  • Grid and modular forms, Annual Report DMV, Volume 104, 2002, Issue 3, pp. 124–144
  • Factoring whole numbers, Annual Report DMV, Volume 102, 2000, pp. 1–14

Web links

Individual evidence

  1. ↑ Univ.-Prof. Dr. rer. nat. Gabriele Nebe - Short biography ( Memento of the original from December 3, 2013 in the Internet Archive ) Info: The archive link was inserted automatically and has not yet been checked. Please check the original and archive link according to the instructions and then remove this notice. . RWTH Aachen website. Retrieved November 28, 2013.  @1@ 2Template: Webachiv / IABot / www.rwth-aachen.de
  2. ↑ Gabriele Nebe in the Mathematics Genealogy Project (English)Template: MathGenealogyProject / Maintenance / id used
  3. ^ Aachen contributions to mathematics, Volume 26, 1999
  4. ↑ Discriminant (determinant of the matrix of the products of the basis vectors) is 1 or -1. The lattice is straight (Type II) if the product for every lattice vector a is even. Unimodular positive definite grids in particular only exist in dimensions that are multiples of 8. Examples are the E8 grid in dimension 8 (and E8 x E8 in dimension 16 as well as a further grid D16) and the Leech grid in dimension 24
  5. ↑ z. B. John Baez, blog
personal data
SURNAME Nebe, Gabriele
BRIEF DESCRIPTION German mathematician
DATE OF BIRTH May 21, 1967
PLACE OF BIRTH Aachen