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Research Interests and CV

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.

This last step terminates with the distribution of a new solver, before entering a new cycle theory, algorithms, implementation, applications motivated by new challenging problems or computer architectures.

These four research directions are supported by two research grants.