- Proving the Balog-Szemeredi-Gowers-Tao lemma: The talk was based on pages 81-92 in Terrence Tao's book "Expansion in finite simple groups of Lie type".
- Verifying assumption (iii) of the Bourgain-Gamburd machine.
- Proof of quasi-randomness for our groups.
- Random products of matrices. In addition to Breuillard's paper, one can approach the following references:
- First part of the book of Bougerol-Lacroix : Products of random matrices with applications to Schrödinger operators.
- Book of Benoist-Quint : Random walk on Random walks on reductive groups.
- Approximate subgroups of linear groups