My research work concerns the study of singularities in real algebraic geometry. In particular, I am interested in the real algebraic sets equipped with the action of a real algebraic group, their invariants and, to some extent, their classifications. I am also involved in a ``80 Prime'' project, funded by CNRS, about the use of real and complex algebraic geometries in mechanics of materials. The other members of the project are Rodrigue Desmorat (project leader), Perla Azzi, Julien Grivaux, Boris Kolev and Marc Olive.
Below, you will find the list of my publications :
- Quotients and invariants of AS-sets equipped with a finite group action, Mathematische Annalen, 377 , 2020, 1015-1055 (https://doi.org/10.1007/s00208-020-01994-7).
- Products of real equivariant weight filtrations, manuscripta mathematica, 164 , 2021, 151-192 (https://doi.org/10.1007/s00229-020-01178-2).
- On the equivariant blow-Nash classification of simple invariant Nash germs, Bulletin de la Société Mathématique de France, 148 (2), 2020, 329-382 (https://doi.org/10.24033/bsmf.2808).
- Equivariant zeta functions for invariant Nash germs, Nagoya Mathematical Journal, 222 (1), 2016, 100-136 (https://doi.org/10.1017/nmj.2016.12).
- Cohomology and products of real weight filtrations, avec Thierry Limoges, Annales de l'Institut Fourier, 65 (5), 2015, 2235-2271 (https://doi.org/10.5802/aif.2987).
- Equivariant weight filtration for real algebraic varieties with action, Journal of the Mathematical Society of Japan, 68 (4), 2016, 1789-1818 (https://doi.org/10.2969/jmsj/06841789).
- Complexe de poids des variétés algébriques réelles avec action, Mathematische Zeitschrift, 277, 2014, 63-80 (https://doi.org/10.1007/s00209-013-1244-8).
Here is also a link to the manuscript (written in French) of my PhD thesis, defended at the University of Rennes 1 and advised by Goulwen Fichou :