Records :

• Master's thesis under the supervision of Pierre Colmez: Théorie des \((\varphi,\Gamma)\)-modules univariables, représentations de \(\mathrm{GL}_2(\mathbb{Q}_p)\) et généralisation à la théorie des \((\varphi,\Gamma)\)-modules multivariables.
• Introduction to the research field: Introduction aux correspondances de Langlands locales \(p\)-adiques.

Miscellaneous notes:

• Note about Galois descent: pdf.
• Note for condensed mathematics: pdf.
• Objects in algebraic structure (and diagram frenzy): pdf.
• Computations of \((\varphi,\Gamma)\)-modules for some non semisimple representations modulo \(p^2\): pdf.
• Field isomorphisms of p-adic fields : pdf.