•  Lecture 1. Random hyperbolic surfaces (Riemann surfaces seen without glasses). Translation surfaces. 
   Lecture 2. Translation surfaces and Abelian differentials. Masur-Veech measure. Magic Wand Theorem. Geodesics and horocycles on modular surface 
   Lecture 3. Teichmüller Theorem. Square-tiled surfaces. Count of Masur-Veech volume through separatrix diagrams 
     Homework assignment 1 
   Lecture 4. Count of flat closed geodesics and of saddle connections. Siegel-Veech formula 
   Lecture 5. Solution of the problems from the homework assignment 
   Lecture 6. Mirzakhani's count of simple closed geodesics 
   Lecture 7. Train tracks. Measured laminations. Proof of Mirzakhani's count 
     Homework assignment 2 
   Lecture 8. Count of square-tiled surfaces and of simple closed hyperbolic geodesics after joint works with V.Delecroix, E.Goujard and P.Zograf 
   Lecture 9. Idea of renormalization. Windtree model. Lyapunov exponents 
  
  
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  Suggestions for reading before bed