Research
My domains of research are complex algebraic geometry and real algebraic geometry.
Publications :
A notion of seminormalization for real algebraic varieties, F. Bernard, 2022 [arXiv][JLMS], Journal of the London Mathematical Society.
Algebraic characterizations of homeomorphisms between algebraic varieties, F. Bernard, G. Fichou, J.-P. Monnier, R. Quarez, 2022 [arXiv], to appear in Mathematische Zeitschrift.
Seminormalization and regulous functions on complex algebraic varieties, F. Bernard, 2021 [arXiv], to appear in Annales de l'Institut Fourier.
Preprints :
Relative Lipschitz saturation of complex algebraic varieties, F. Bernard, 2023 [arXiv]
Thesis :
PhD Thesis :
Seminormalisation et fonctions régulues, University of Angers (21/11/22)
Master Thesis :
Fonctions régulues, University of Rennes I (29/06/19)