Gabriel Duez

Here follow the few documents I wrote as part of my education:

Cartan subalgebras in C*-algebras and groupoids, supervised by J. Renault and P. Carrillo-Rouse, second-year Master's dissertation (2024), [here],
Functional calculus for bounded self-adjoint operators, with L. Cotelle, supervised by J. Royer, first-year Master's dissertation (2022), [coming soon],
Groupoïdes, Actions de groupes et espaces d'orbites (Groupoids, Group actions and orbit spaces), supervised by P. Carrillo-Rouse, third-year undergraduate dissertation (2021), [coming soon].

Since November 2024, I have been taking part in a working group(oid) with P. Carrillo-Rouse and his doctoral students in Toulouse. It is a reading seminar on the last chapter of Topological Vector Spaces, Distributions and Kernels (F. Trèves), which I was presenting weekly until March, and which aims to introduce the notion of nuclear spaces and the proof of the Schwartz kernel theorem, then to talk about distributions on groupoids.
I have been regularly attending doctoral students' seminars and QUID seminars at the Institut des Mathématiques de Toulouse since September 2023 (and even since the beginning of 2023 for the QUID seminar).

Here is my CV: [here].

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