"Semiclassical dynamics and kinetic theory" (Master 2)

This is a lecture I gave as part of the "Advanced methods in many-body theory" course for Masters 2 students at the TU Munich. Here is the plan:

- Kinetic theory for classical particles;
- Transport theory in the relaxation time approximation and beyond;
- Hall effects and semiclassical dynamics;
- Kinetic theory from out-of-equilibrium quantum many-body;
- Relaxational dynamics beyond the diffusive regime.

Here is the latest version of the lecture notes (with exercise sheets at the end): PDF

"Quantization of Free Fields" (Master 1)

The "Quantization of Free Fields" course, part of the Master 1 physics degree at ENS de Lyon, encompasses all basic (and some more advanced) notions of the quantum theory of non-interacting fields, such as:

- The Poincaré group, its Lie algebra and irreducible representations;
- The classical free scalar field: Lagrangian and Hamiltonian formalisms;
- Quantization of the free scalar field: normal ordering, T-product and propagators;
- Interaction with an external source: the S-matrix and Wick's theorem;
- The Dirac and Weyl spinors, from classical to quantum;
- The electromagnetic field: gauge redundancy, Gupta-Bleuler quantization and ghosts.

Lectures are taught by Stefan Hohenegger. Together with Eric Brillaux, I taught the exercise classes (2021-2022). Here are the exercise sheets:

TD1, TD2, TD3, TD4, TD5, TD6, TD7, TD8, TD9, TD10, TD11.

Agrégation de physique (Master 2)

I taught training classes for the Agrégation de Physique at ENS de Lyon (2019-2022). Although this training encompasses basically all domains of experimental and theoretical physics at an undergraduate level (along with a fair amount of chemistry), my interests focused (roughly) on theory-oriented subjects such as:

- Classical mechanics and relativity ;
- Thermodynamics and statistical physics ;
- Quantum mechanics and condensed matter physics ;
- Dynamical systems, linear response and electronics.

@Agrégatifs: many reports from my "corrections de leçons" are available here.

Condensed Matter Journal Club

Since Fall 2020, PhD students in the physics lab at ENS de Lyon working on condensed matter physics (in a very broad sense) have held a weekly journal club on a (roughly) regular basis. We're quite proud to claim that this was arguably one of the lab's most active seminars during the pandemic. :)
Here are handwritten notes I used for some of my presentations there:

- About transport :
      linear response, Kubo and London formulations, diagrammatics, and Luttinger '64.
- About Polyakov '77 :
      confinement of gauge theories, from quarks to QED3, and the role of instantons.
- About Luttinger's theorem :
      historical proof, relation to U(1) gauge invariance, and the Kondo physics.
- About the SYK model :
      random matrix and large-N arguments ; signatures of a non-Fermi liquid.
- About LSM's theorem :
      historical proof, extensions, relation to Luttinger's theorem and Haldane's conjecture.
- About Higgs' mechanism :
      screening, superconductivity, heavy fermions, and nonabelian surprises.
- Number Theory and Physics :
      Casimir effect, quasicrystals, bosonization, the Villain model, and elliptic functions.