The Mathematics Research Unit of the University of Luxembourg has obtained a large grant from the Fonds National de la Recherche Luxembourg for its PhD programme and opens up to 9 positions for Doctoral candidates (PhD students) in Mathematics (m/f)
Description
- Starting date: 1 September 2016 or later
- Duration: 14-month initial contract, extendable up to 3 years, further extendable by 1 year if required, 40 hours/week
- Student status
- Applications received on or before 10th May 2016 will be treated with priorit
Further information can be see detail http://emea3.mrted.ly/116rn
LAST_UPDATED2
Lattices play a central role in number theory and its applications. The aim of this school is to introduce participants to the ubiquity of lattices in number theory, algebra, arithmetic algebraic geometry, cryptography and coding theory. The theory of lattices will be developed from its very beginning and the basic notions required for the applications in number theory, algebra, arithmetic algebraic geometry will be provided. Appearances of lattices that we intend to cover include: The natural lattice structure of Mordell-Weil groups and unit groups. Lie algebra root lattices. The lattice basis reduction algorithm “ LLL ”, which has many applications to many areas of mathematics and finally the construction of the famous Leech lattice. On the applied side we plan to cover constructions of good error-correcting codes and of good sphere packings via dense lattices.
Sir Andrew J. Wiles, University of Oxford, will receive the 2016 Abel Prize "for his stunning proof of Fermat's Last Theorem by way of the modularity conjecture for semistable elliptic curves, opening a new era in number theory."