Algebra is a field of mathematics traditionally considered as being
studied for itself, with no application in mind. However,
it has recently been proved to be a powerful tool for solving
different problems from communication systems and computer science.
My main research interests have been focused on understanding and applying
algebraic techniques to different coding problems appearing
in wireless communications : modulation scheme for the
single antenna wireless channel, space-time coding
for multiple antennas channel, in the coherent case and in the
non-coherent case (differential or traditional), as well as coding for
wireless networks, as sensor networks for example.
My tools are mainly coming from lattice theory,
algebraic number theory (cyclotomic theory, Galois theory,
ramification,...), as well as non-commutative algebra
(central simple algebras,...).