Gabriele Nebe: Difference between revisions
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'''Gabriele Nebe''' (born 1967)<ref>Birth year from [http://d-nb.info/gnd/17285671X German National Library catalog entry], retrieved 2018-11-30.</ref> is a [[Germans|German]] [[mathematician]] with contributions in the theory of [[lattice (group)|lattices]], [[modular form]]s, [[spherical design]]s, and [[error-correcting codes]]. With [[Neil Sloane]], she maintains the Online Catalogue of Lattices.<ref name="catalog">[http://www.math.rwth-aachen.de/~Gabriele.Nebe/LATTICES/index.html Online Catalogue of Lattices]</ref> She is a professor in the department of mathematics at [[RWTH Aachen University]]. |
'''Gabriele Nebe''' (born 1967)<ref>Birth year from [http://d-nb.info/gnd/17285671X German National Library catalog entry], retrieved 2018-11-30.</ref> is a [[Germans|German]] [[mathematician]] with contributions in the theory of [[lattice (group)|lattices]], [[modular form]]s, [[spherical design]]s, and [[error-correcting codes]]. With [[Neil Sloane]], she maintains the Online Catalogue of Lattices.<ref name="catalog">[http://www.math.rwth-aachen.de/~Gabriele.Nebe/LATTICES/index.html Online Catalogue of Lattices]</ref> She is a professor in the department of mathematics at [[RWTH Aachen University]]. |
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==Education== |
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Nebe earned a doctorate ([[Dr. rer. nat.]]) in 1995 from [[RWTH Aachen University]]. Her dissertation, ''Endliche Rationale Matrixgruppen vom Grad 24'' concerned the theory of finite [[matrix group]]s and was supervised by Wilhelm Plesken.<ref>{{mathgenealogy|id=47581}}</ref> |
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Nebe is known for using integral representations of finite groups to construct explicit examples of discrete mathematical structures using [[computer algebra system]]s. Her constructions include extremal even [[unimodular lattice]]s in 48, 56, and 72 dimensions and an extremal 3-modular lattice in 64 dimensions.<ref name="catalog"/> These lattices represent the [[packing density|densest]] known [[sphere packing]]s and the highest known [[kissing number]]s in these dimensions. Her discovery of an extremal unimodular lattice in 72 dimensions settled a long open problem.<ref name="MRQueme">Roland Quême, {{MR|2999133}}</ref> |
Nebe is known for using integral representations of finite groups to construct explicit examples of discrete mathematical structures using [[computer algebra system]]s. Her constructions include extremal even [[unimodular lattice]]s in 48, 56, and 72 dimensions and an extremal 3-modular lattice in 64 dimensions.<ref name="catalog"/> These lattices represent the [[packing density|densest]] known [[sphere packing]]s and the highest known [[kissing number]]s in these dimensions. Her discovery of an extremal unimodular lattice in 72 dimensions settled a long open problem.<ref name="MRQueme">Roland Quême, {{MR|2999133}}</ref> |
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Revision as of 08:31, 20 January 2019
Gabriele Nebe | |
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 Gabriele Nebe at the Mathematical Research Institute of Oberwolfach, 2005 | |
| Born | 1967 |
| Alma mater | RWTH Aachen University |
| Known for | Online Catalogue of Lattices |
| Scientific career | |
| Institutions | RWTH Aachen University Ulm University |
| Website | www |
Gabriele Nebe (born 1967)[1] 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.[2] She is a professor in the department of mathematics at RWTH Aachen University.
Education
Nebe earned a doctorate (Dr. rer. nat.) in 1995 from RWTH Aachen University. Her dissertation, Endliche Rationale Matrixgruppen vom Grad 24 concerned the theory of finite matrix groups and was supervised by Wilhelm Plesken.[3]
Research
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.[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.[4]
Awards and honours
- 1995 – Friedrich Wilhelm Prize [5]
- 2002 – Merckle Research Prize [6]
- 2003 – Research Fellowship – Radcliffe Institute, Harvard University [5]
References
- ^ Birth year from German National Library catalog entry, retrieved 2018-11-30.
- ^ a b Online Catalogue of Lattices
- ^ Gabriele Nebe at the Mathematics Genealogy Project
- ^ Roland Quême, MR2999133
- ^ a b AcademiaNet
- ^ University of Ulm
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