PERTTI MATTILA

Contents
1. Introduction
2. Preliminaries
3. Rectifiable curves
4. One-dimensional rectifiable sets
5. Higher dimensional rectifiable sets
6. Uniform rectifiability
7. Rectifiability of measures
8. Rectifiable sets in metric spaces
9. Heisenberg and Carnot groups
10. Bounded analytic functions and the Cauchy transform
11. Singular integrals
12. Harmonic measure and elliptic measures
14. Currents and varifolds
15. Minimizers and quasi minimizers
16. Rectifiability of singularities