I am a PhD student in fundamental mathematics at the Université Caen Normandie under the supervision of Eric Ricard. I am a member of the team GRAAL (Géométrie, Représentations, Algèbre, Analyse, Logique) at the Laboratoire de Mathématiques Nicolas Oresme.
My research lies at the intersection of Functional Analysis , Operator Theory and Classical Analysis. My research focuses on interpolation problems in the context of noncommutative analysis . Such problems arise, for example, in the study of Lp-boundedness of Singular integrals or Schur multipliers, or in the study of Hardy-type spaces. Originally formulated within classical analysis—that is, in the study of scalar-valued functions—these problems can also be investigated in the setting of noncommutative analysis, which here refers to the study of operator-valued functions. The associated formal framework is that of tracial von Neumann algebras , which provide a natural extension of classical measure theory.
Here is my CV.
Laboratoire de Mathématiques Nicolas Oresme
UFR des Sciences - Campus 2
F14032 Caen Cedex
Bureau : S3 108
The arXiv versions of my papers are provided below.
K-closedness results in Lp-spaces associated to tracial von Neumann algebras with filtrations,
The original version is published in Journal of Functional Analysis
Volume 288, Issue 7, 1 April 2025, 110829. Arxiv:2407.12335v1.
K-closedness results in Lp-spaces associated to semicommutative tracial von Neumann algebras, coming soon.
A remark on Pisier's approach to complex interpolation of Lp-spaces, coming soon.
A note on abstract Gagliardo-Niremberg inequalities, coming soon.
China-Japan-Korea Conference on Functionnal Analysis ,
Institute for Advanced Study in Mathematics of HIT, Harbin Institute of Technology, China (August 2024)
Conference "Noncommutative analysis on groups and quantum groups" ,
Laboratoire de Mathématiques de Besançon, Université Franche-Comté, France (December 2023)
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