Raphaël Pagès

I have a PhD in mathematics. I carried out my thesis at the University of Bordeaux, under the joint supervision of Alin Bostan and Xavier Caruso between September 2020 and February 2024.

Project team CANARI and INRIA team MathExp.

Email: raphael-pages at sfr.fr

PhD's subject:

Factorisation of linear differential operators in positive characteristic. Complete manuscript.

Research interests:

Differential operators
Algebraic curves
Central simple and Azumaya algebras
Finite fields and fields of positive characteristic
Symbolic Computation

Publications:

Factoring differential operators over algebraic curves in positive characteristic, Poster communication for ISSAC 2022
Computing Characteristic Polynomials of p-Curvatures in Average Polynomial Time, Proceedings of ISSAC 2021
master's thesis: Étude d'algèbres d'opérateurs différentiels, techniques de calcul rapide de factorielles et applications au calcul de la p-courbure

Pre-publications:

Solving the p-Riccati Equation and Applications to the Factorisation of Differential Operators, Submitted to ANTS XVI.

Talks:

PhD Defense on the 21/02/2024 at IMB. Slides
Factoring linear differential operators in positive characteristic:
- JNCF 2023 (slides)
- ACA 2022 (slides)
Computing Characteristic Polynomials of p-Curvatures in Average Polynomial Time:
- FELIM 2022 (slides)
- JNCF 2022 (slides)
- ISSAC 2021 (slides)
- LFANT Seminar 2020-11-10 (slides)