I am a researcher at Inria, where I lead AROMATH project. My field of research is at the croassroad of computer algebra, effective algebraic geometry, geometric modeling. It concerns the representation of geometry by algebraic models and algebraic computation for understanding the geometry.
Topics of interest
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Solution of polynomial equations, border basis, subdivision methods, bezoutian, resultants, truncated normal forms.
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Topology of algebraic curves and surfaces, singularities, arrangements.
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Tensor decomposition, moments, polynomial optimisation.
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Splines, IsoGeometric Analysis, interaction between geometric modeling and numerical computation.