Rémi Bignalet-Cazalet
mathematic teacher at university Paris 2 Panthéon Assas |
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About me
I am currently teacher for undergraduate students of the university Paris 2 Panthéon Assas. From january 2019 to august 2021, I was post-doctorant in the teams Algebra Commutativa and Geometria Algebrica ed Aritmetica of the Dipartimento di Matematica in Università degli studi di Genova à Genova. From september 2015 to october 2018, I was PhD student in mathematic under the direction of Adrien Dubouloz and Daniele Faenzi at Università de Bourgogne and member of the team Géométrie et Système dynamiques of Institut de Mathématiques de Bourgogne (Université de Bourgogne-Franche Comté). My mathematical research interests concern the classification of homaloidal hypersurfaces and free divisors.
Key words: Algebraic Geometry, Commutative Algebra, Convex Geometry, Singularity, Cremona group, homaloidal hypersurfaces, free divisors, syzygies, resolutions.
Publication and scientific diffusion
Pre-prints and articles
| 2021: | Gluing determinantal maps. | |
| 2019: | Plane polar Cremona maps of arbitrarily large degree in positive characteristic, published in Geometriae Dedicata (DOI :10.1007/s10711-021-00628-9. ) | |
| 2018: | Torsion of a finite base locus. | |
| 2018: | Resolution of the symmetric algebra of a finite base locus. |
Enseignement
- From 2019 to 2021, I was in charge of the Supporto alla diddatica (exercise sessions) in basics of Analisis and Algebra for the first year students in civil and naval ingeniering of UNIGE (cf the exercice sheets for some of the material of those classes).
- From september 2015 to december 2018, I taught mathematics mainly for first year students. Here are gathered some materials I used for one of this class.