Research
Preprints and published articles
Here is my PhD dissertation .
A slightly revised version of this memoir is available as the following prepublication. However this prepublication does not include the Appendix of the memoir Sections génériques et pinceaux d’hypersurfaces, where are established results of independent interest concerning the construction, as generic sections, of smooth hypersurfaces satisfying suitable transversality properties.
Griffiths heights and pencils of hypersurfaces, https://arxiv.org/abs/2212.11019
The last version of the above prepublication is to appear in the series Mémoires de la Société Mathématique de France.
A note on the semistability of singular projective hypersurfaces, https://arxiv.org/abs/2312.09774. Published in Mathematische Zeitschrift, see https://rdcu.be/dBgnF.

Contact
Laboratoire de mathématiques d'Orsay
Bât. 307, bureau 3S22
Université Paris-Saclay
91405 Orsay
thomas.mordant@universite-paris-saclay.fr