### Lessons

- Lecture 1 – Introduction to Arithmetic Geometry
- Lecture 2 – Rational Points on Conics
- Lecture 3 – Finite Fields
- Lecture 4 – The Ring of p-adic Integers
- Lecture 5 – The Field of p-adic Numbers, Absolute Values, Ostrowski’s Theorem for Q
- Lecture 6 – Ostrowski’s Theorem for Number Fields
- Lecture 7 – Product Formula for Number Fields, Completions
- Lecture 8 – Hensel’s Lemma
- Lecture 9 – Quadratic Forms
- Lecture 10 – Hilbert Symbols
- Lecture 11 – Weak and Strong Approximation, Hasse-Minkowski Theorem for Q
- Lecture 12 – Field Extensions, Algebraic Sets
- Lecture 13 – Affine and Projective Varieties