I am currently a postdoc at the IMI-BAS in Sofia, working with Antoni Rangachev.
Previously, I was in postdoc at the University of Toronto working with Edward Bierstone and, before that, at Université Paris Cité with André Belotto da Silva. I completed my PhD at the University of Angers, under the supervision of Jean-Philippe Monnier and Goulwen Fichou.
I work in singularity theory and algebraic geometry. More precisely, my PhD focused on the theory of complex regulous functions and on seminormalization in real algebraic geometry. After that, I have worked on the notion of relative Lipschitz saturation of algebraic varieties. I have also described the combinatorics of seminormal toric varieties and of the Lipschitz saturation of toric singularities. More recently, I have been interested in desingularization algorithm that preserve certain class of singularities.
Here you can find my resume. [eng] (last update : April 2024)
Here you can find my resume. [french] (last update : April 2026)
Institute of Mathematics and Informatics, Bulgarian Academy of Sciences,
Acad. Georgi Bonchev Str., Block 8
1113 Sofia, Bulgaria
e-mail : francois.bernard[at]utoronto.ca