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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 Algebra Theory and Fourier Analysis . My research focuses on Lp-boundedness problems in the context of noncommutative Fourier analysis . Such problems arise, for example, in the study of Fourier multipliers, Schur multipliers, and kernel operators. 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 functions taking values in operator algebras. 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,
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,

A remark on Pisier's method in real/complex interpolation of Lp-spaces,

About Fourier-Schur multipliers

A note on Gagliardo-Niremberg type inequalities,


Participation in Talks

China-Japan-Korea Conference on Functionnal Analysis , Harbin Institute of Technology, Harbin, China (August 2024)

Conference "Noncommutative analysis on groups and quantum groups" , Laboratoire de Mathématiques de Besançon, 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