•  Lecture 1. From billiards to flat surfaces 
   Lecture 2. Magic Wand Theorem 
   Lecture 3. Ramified covers. Cyclic covers. Holonomy. Monodromy. Intersection number 
   Lecture 4. Idea of Renormaliation 
   Lecture 5. (by Bram Petri) Integration on moduli spaces 
   Lecture 6. Mirzakhani's count of simple closed geodesics 
   Lecture 7. Train tracks. Measured laminations. Proof of Mirzakhani's count 
   Lecture 8. Count of flat closed geodesics. Siegel–Veech formula 
   Lecture 9. Masur–Veech volumes and square–tiled surfaces 
   Lecture 10. Masur–Veech volumes and Witten–Kontsevich correlators. Random square-tiled surfaces and random multicurves 
  
  
• Suggestions for reading before bed