Home


Current position

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.


Research interests

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.


Curriculum vitae

Here is my CV.


Contact informations

Université Caen Normandie
Laboratoire de Mathématiques Nicolas Oresme
UFR des Sciences - Campus 2
F14032 Caen Cedex
Bureau : S3 108
hugues.moyart@unicaen.fr

Academic work


Publications

The arXiv versions of my papers are provided below.

About interpolation of operator spaces

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.

About Fourier-Schur multipliers

A note on abstract Gagliardo-Niremberg inequalities, coming soon.


Participation in Talks

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)

Miscellaneous


Lecture Notes

About Operator algebras

coming soon

About Interpolation theory

coming soon

About Functionnal Analysis

coming soon


Leçons pour l'agrégation

Analyse

coming soon

Algèbre