Accueil

About me: 

Since September 2024 I am an Associate Professor (tenure position) in the department of mathematics of the University of Trieste in Italy. I remain an adjunct academic at the University of New South Wales (UNSW) in Sydney. 

In July 2020 I became a Senior Lecturer (tenure position)  in the Department of Pure Mathematics at UNSW in Sydney that I joined in July 2018 as a Lecturer.

I was previously a Research Assistant at the University of Rome Tor Vergata in the team of Professor Roberto Longo, an Assistant Professor at Vanderbilt University (USA) under the guidance of Professor Dietmar Bisch and a Postdoctoral Researcher in the group of Professor Stefaan Vaes in KU Leuven (Belgium). 

I was honoured to be co-supervised by  Fields Medallist Vaughan Jones at UC Berkeley and by Professor Andrzej Zuk at the University of Paris Diderot for my Ph.D. that I completed in 2011 in Paris.

Address: University of Trieste, Department of Mathematics, Informatics and Geosciences, Section Mathematics, via Valerio 12/1, 34127, Trieste, Italy.

My office is at the 3rd floor of the H2bis building.

Office Phone: 

Orcid ID: https://orcid.org/0000-0002-6452-7894


Research interests:

My mathematical education was on operator algebras with a focus on the theory of von Neumann algebras: a mixed of functional analysis and linear algebras introduced to describe quantum mechanics. It provides, among other, powerful tools for ergodic theory, infinite group theory and theoretical physics.

I mainly work in operator algebra, mathematical foundation of theoretical physics, group theory and their connections with ergodic theory, representation theory, and quantum field theory. I am an expert in Jones' subfactor theory which deeply connects conformal field theory, low dimensional topology and von Neumann algebras.

Since 2016 I have been mainly focusing on an exciting connection that Vaughan Jones made between subfactor theory, quantum field theory, knot theory and Richard Thompson's groups (see Jones survey and mine). I have been particularly interested to connections and applications toward group theory, quantum field theory and operator algebras.

Some of my recent themes of interest include the following:

-Diagramatic constructions of groups using categories and Jones technology;

-Constructions of representations of R. Thomspon's groups and Cuntz(-Dixmier) algebras (and other related groups and C*-algebras) via Jones technology;

-Lattice approximations of conformal field theories.

Here are some of my less recent themes of interests:

-Actions of locally compact groups on von Neumann algebras;

-Classification and analytical properties of subfactors/tensor categories.

Interview:  

Here is an interview of myself (in french) realized by Camille Saumard for the company LumenAi.