Raphaël Pagès

I am a PhD student in mathematics at Université de Bordeaux, under the joint supervision of Alin Bostan and Xavier Caruso since September 2020.

I am a member of the INRIA teams LFANT(Bordeaux) and SpecFun(Saclay).

Email: raphael.pages at math.u-bordeaux.fr

PhD topic:

Factoring differential operators in positive characteristic.

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

Talks:

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)

Curriculum Vitae