Announcement

From October 6th to 10th 2025, we are organizing an Autumn school Spectra of Analysis in Geometry and Physics at the University of Göttingen. More information and a registration link can be found at this adress.

About me

My name is Clément Cren. I am a postdoc at the Mathematisches Institut of Göttingen Universität. Before that I was a PhD student at Université Paris-Est Créteil. I am part of RTG 2491 Fourier Analysis and Spectral Theory.

Research interests

I work in the field of non-commutative geometry. The idea, following the philosophy of Alain Connes, is to replace spaces with ill behaved topology (manifolds with boundary or corners, orbifolds, leaf space of a foliation...) by non-commutative algebras (the ones that happen to be commutative correspond to the well behaved spaces following Gelfand and Naimark). This change of paradigm corresponds to a "quantum" point of view. We replace the notion of space by operators on a Hilbert space (a C*-algebra). Because of that, the tools I use are related to problems arising from physics such as quantization or semi-classical analysis (going from classical to quantum and vice-versa). I am interested in these problems through the prism of pseudodifferential operators theory and Lie groupoids. In my thesis I focused on a pseudofifferential calculus suited for filtered manifolds (e.g. contact). I used a tangent groupoid approach to generalize results known for the usual pseudodifferential calculus. I now want to also apply these techniques to the aforementioned problems (e.g. geometric quantization).

Papers

Published papers

Preprints

Others

Teachings

2024-2025:

  • SoSe:
    • Supervision of a Bachelor thesis of a student from Université Paul Sabatier (Toulouse). Subject (temporary): Kirillov theory and stratification of the space of coadjoint orbits.
  • WiSe:
    • Noncommutative Geometry III: Topological phases and K-theory of Banach algebras (teaching assistant, course by Ralf Meyer).
    • Latex Kurs (lecturer, in February 2024).

2023-2024:

  • SoSe:
    • Functional analysis (teaching assistant, course by Christopher Wulff).
    • Latex Kurs (lecturer, in August 2024).
  • WiSe:
    • Introduction to algebraic geometry (teaching assistant, course by Evelina Viada).
    • Onbourding tutorial in non-commutative geometry

Previous teachings: see my detailed CV.

Talks at conferences and seminars

This is the list of the conferences and seminars where I have given a talk and also includes the upcoming ones. A list including the conferences I also attended can be found on my CV

Contact