Teaching

Topological theory in condensed matter (a.y. 2024/25)

A course for ICFP M2 program in the Parisian region, taught together with Christophe Mora.

Covered topics: 

• Topological band theory

• Integer and fractional quantum Hall effects

• Berry phases, Chern numbers and observable implications

• The toric code

Out-of-equilibrium physics with photons and atoms

In March 2023 I was in Les Houches and I delivered a very introductory lecture on the theory of matrix-product-states on statics and dynamics.

• My handwritten notes.

• The slides I presented.

• ITensor and TeNPy libraries for doing your own numerical simulations.

• A review on the theory of matrix product states (arXiv).

Notes on the spin-statistics relation of anyons 

In March 2024 I have been invited to MPQ, a laboratory at Université Paris-Cité. I have presented  a very introductory and phenomenological lecture on the spin-statistics relation for anyons.

• My handwritten notes.

• The beatiful notes by J. Preskill on topological quantum computing, where this subject is thoroughly discussed.

• The unavoidable paper by A. Kitaev, with an entire appendix on the formal algebraic theory of anyons