Corentin Kilque

Post-doc at POEMS (ENSTA Paris)

Presentation

I am currently in a three years post-doc position (under a Lecteur Hadamard contract), in the teams POEMS at ENSTA Paris, and I am working with Sonia Fliss on long time homogenization for the waves equation and the Maxwell equation.

I defended my Ph.D. thesis on July 2022. My Ph.D. was under Jean-François Coulombel at the Institut de mathématiques de Toulouse, about multiphased geometric optics for quasilinear hyperbolic boundary value problems.

You will find on this webpage informations and documents about my education and my research and theaching experiences. You may also find some documents (in french) that may be useful to prepare the agrégation de mathématiques.

Research work

Publications and prepublications

  • Transverse instability of high frequency weakly stable quasilinear boundary value problems, Quarterly of Applied Mathematics, to appear : [Hal] [ArXiv].
  • Weakly nonlinear multiphase geometric optics for hyperbolic quasilinear boundary value problems: construction of a leading profile, SIAM Journal on Mathematical Analysis, 2022 : [Hal] [ArXiv] [final].

Ph.D. thesis

Multiphased geometric optics for hyperbolic systems of conservation laws (Optique géométrique multiphasée pour les systèmes hyperboliques de lois de conservation in french), defended on July 2022: [thesis].

Research activities

Teaching

  • 2022-2023 : ENSTA Paris.
    • Tutorials, Functional analysis, first year of MSc.
  • 2019-2022 : Université Paul Sabatier, 64h per year.
    • Lecture and tutorials, linear algebra, first year of BSc.
    • Pratictal works (Python), linear algebra, first year of BSc.
    • Tutorials, real analysis, second year of BSc.
    • Practical works (Python), differential calculus, second year of BSc.
    • Tutorials, mathematics, first year of BSc.
    • Practical works (Python), arithmetic, first year of BSc.
    • Practical works (Python), modelisation, second year of BSc.
  • 2018-2019 : Teaching assistant for tutorials, first year of BSc. Two hours a week, at Lycée Chateaubriand, Rennes. The exercices given during these tutorials (in french).

Resume

You can find a detailed resume here.

Positions :

  • 2022-2025 : Post-doc at POEMS, ENSTA Paris
  • 2019-2022 : Ph.D. student in mathematics, Institut de mathématiques de Toulouse.

Education :

  • 2019-2022 : Ph.D. in mathematics, Université Toulouse III Paul Sabatier.
  • 2015-2019 : ENS Rennes, Université de Rennes 1.
    • MSc in mathematics, with high honours.
    • Preparation year for the agrégation externe de mathématiques, with high honours.
    • First year of a MSc in mathematics, with high honours.
    • BSc in mathematics, with high honours.
  • 2013-2015 : Classe préparatoire MPSI - MP*, Lycée Clemenceau, Nantes.

Awards and scholarships :

  • 2018 : Agrégation externe de mathématiques, rank : 19/315.
  • 2017-2019 : Two year study scholarship from the École normale supérieure de Rennes, rank : 1/17.
  • 2016-2017 : One year study scholarship from Center Henri Lebesgue.

Internships :

  • 2019 : Four months MSc internship at the Institut de mathématiques de Toulouse under Prof. Jean-François Coulombel. One phase geometric optics for hyperbolic problems.
  • 2017 : Two months internship at Sapienza Università di Roma (Italy), under Prof. Paolo Papi. De Rham cohomology of a connected compact Lie group.
  • 2016 : Six weeks internship at the Université de Poitiers under Prof. Pol Vanhaecke. Universal enveloping algebra and Poincaré-Birkhoff-Witt theorem.

Agrégation

J'ai été reçu à l'agrégation externe de Mathématiques en 2018. Se trouvent ici l'ensemble des métaplans de leçons que j'ai rédigés au cours de l'année, avec la liste des livres qui m'ont été utiles, l'ensemble des développements que j'ai également rédigés cette année ainsi que le couplage utilisé le jour de l'oral. À toutes fins utiles, le mémoire que j'ai rédigé sur la leçon 262 - convergence d'une suite de variables aléatoires.

Contact me

corentin.kilque[at]ensta-paris.fr