Mon sujet de recherche est l’analyse microlocale non archimédienne. J’utilise l’intégration motivique à la Cluckers-Loeser et la théorie des distributions motiviques, analogues à ce qui se fait en analyse réelle.

Articles

• « On non-Archimedean and motivic distributions defined by kernels ». résuméarXivHAL

  As in real microlocal analysis, we prove a Schwartz kernel theorem for \(p\)-adic distributions. We extend this result for motivic distributions using Cluckers–Loeser’s motivic integration. In both settings, we give also a relation between the wave front sets of the distribution and its kernel.

• « Non-Archimedean and motivic stationary phase formulas ». Confluentes Mathematici, tome 18 (2026), pp. 1–24. résuméarXivHALjournal

  In this article, for a non degenerate singular phase, we reconsider a stationary phase formula of Heifetz in the non-Archimedean local field setting and give a motivic analogue using Cluckers–Loeser’s motivic integration.