Summary

I am a PhD student supervised by Maja Volkov from the Mathematics Department of the University of Mons (UMONS). My PhD is funded by the F.R.S.-FNRS. I am interested in arithmetic dynamics, currently working on Lubin's conjecture using p-adic Hodge theory.

Research experience

PhD Thesis

October 2023 - Present
University of Mons (UMONS)

Title: Crystalline periods attached to dynamical systems.
Supervisor: Maja Volkov.

Master's Thesis

September 2022 - May 2023
University of Mons (UMONS)

Title: Systèmes dynamiques p-adiques.
Supervisor: Maja Volkov.

Research Initiation Internship

July 2021
University of Mons (UMONS)

Subject: Théorie de Galois infinie et cohomologie galoisienne.
Supervisor: Giovanni Bosco.

Attended events

Teaching

Mathématiques élémentaires

Student teaching Assistant
Sept - Nov 2022
1st year
Supervision of in-class exercise sessions and test grading.

Algèbre linéaire et géométrie I

Student teaching Assistant
Jan 2022 - Dec 2023
1st year
Supervision of in-class extra exercise sessions and test grading.

Other writing

  • Des Silmarils et de la Théorie de Hodge p-adique. Martin Debaisieux (2024). Last updated on July 2, 2025. [PDF]
  • Systèmes dynamiques p-adiques. Martin Debaisieux, master's thesis supervised by Maja Volkov (2023). [Abstract]
  • Une étude locale de la ramification dans les extensions de corps de nombres. Martin Debaisieux, master's project supervised by Maja Volkov (2022). Last updated on November 5, 2024. [PDF]
  • Introduction à la Géométrie Algébrique. Martin Debaisieux, master's project supervised by Maja Volkov (2022). Last updated on November 14, 2024. [Preparation] [PDF]
  • Notes sur les représentations C-linéaires des groupes finis. Martin Debaisieux, master's project supervised by Maja Volkov (2022). Last updated on December 7, 2024. [PDF]
  • Une introduction analytique aux corps ultramétriques. Martin Debaisieux, master's project supervised by Quentin Menet (2022). Last updated on November 5, 2024. [PDF]
  • Théorie algébrique des nombres. Martin Debaisieux, master's project supervised by Maja Volkov (2022). Last updated on June 13, 2022. [PDF]
  • Initiation à l'Algèbre Catégorique. Martin Debaisieux, Valentin Dusollier, master's project supervised by Maja Volkov (2022). Last updated on June 4, 2022. [PDF1] [PDF2]
  • Théorie de Galois infinie et cohomologie galoisienne. Martin Debaisieux, research initiation internship supervised by Giovanni Bosco (2021). Last updated on September 27, 2021. [PDF]