Notes

1. An English translation, The arithmetic of diagonal cubic surfaces, of the paper Arithmétique des surfaces cubiques diagonales by J.-L. Colliot-Thélène, D. Kanevsky, and J.-J. Sansuc.

2. Notes for my talk, Outline of the argument for Mordell's conjecture, based on Section 5 of Diophantine problems and p-adic period mappings by B. Lawrence and A. Venkatesh, with more details.