• What is an isocrystal?

  • What does it mean to be crystalline?

  • What is a symplectic basis?

  • What is the Mordell-Weil sieve?

  • How can one pass from p-adic solutions to rational solutions?

    • How is this related to arithmetic fracture squares?
    • What about passing from adelic solutions instead?
  • What is the conductor of an elliptic curve?

  • What is Serre’s open image theorem.

  • What is inertia?

  • What is the cyclotomic character?

  • See Mazur Program B

  • See Goursat’s lemma in group theory.

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