Birational geometry for number theorists ======================================== 0. Geometry and arithmetic of curves: closed and open. 1. Kodaira dimension a. Iitaka's program: Viehweg's additivity theorem b. Rationally Connected and Iitaka fibrations c. Lang's conjectures and implications d. Logarithmic Kodaira dimension e. The Lang-Vojta conjecture 2. Campana's program a. One-dimensional Campana constellations b. Higher dimensional Campana constellations and Campana's core c. Firmaments supporting Campana constellations d. Campana's arithmetic conjectures 3. The minimal model program a. cone of curves b. Bend and break c. Cone theorem d. The Minimal Model Conjecture 4. Vojta, Campana and ABC a. Heights b. Vojta's conjectures c. Vojta and ABC d. ABC and Campana e. Vojta and Campana