PhD Student | Mathematical physics

NATHAN METRAUD

About me

Research interest

My research interests include many-body quantum theory and algebraic quantum fields theory.

I aim for a mathematically rigorous treatment of problems arising in these research areas, this implies dealing mainly with functional analysis, C*-algebra and their representations, as well as spectral theory.

More specifically, my current project is the study of differential equations on spaces of operators and applying them to many-body quantum problems.

You can find my publication here.

Curriculum

  • PhD student - Mathematical physics

    University of the Basque country

  • Research technician - Mathematical physics

    Basque center for applied mathematics

  • Master - Analysis, PDE & Probability

    University of Bordeaux

  • Bachelor - Fundamental mathematics

    University of Bordeaux.

List of publications

  • Quadratic Hamiltonians in Fermionic Fock Spaces

    Jean-Bernard Bru, Nathan Metraud, preprint, arXiv:2305.11697 , 2023

  • Non-Linear Operator-valued Elliptic Flows with Application to Quantum Field Theory

    Jean-Bernard Bru, Nathan Metraud, preprint, arXiv:2305.11154 , 2023