When I am asked to summarize my research activity in a short and simple sentence, I answer that I am applying Computer Science to Mathematics. Indeed, even if certain questions such as computing GCDs of integers have been studied for centuries, it remains a challenge today to solve them efficiently on computers, in particular on parallel architectures.
Another example, which is in fact my favorite problem, is the solving of systems of polynomial equations. This fundamental question, well studied in Algebra textbooks, still offers many algorithmic and implementation challenges in order to address users' needs.
My research activity has four directions.
These four research directions are supported by two research grants.
A short overview of my research group in 10 slides.
More details can be found in my CV in PDF format.