Billiards and Surface Dynamics I+II, which will run for the full semester (14 weeks, 4h per week + 2h exercise class) and cover the full syllabus. References and exercises for the first part, Billiards and Surface Dynamics I, will be posted on the webpage of the first part.

References for Billiards and Surface Dynamics I

• Tabachnikov, Billiards and Geometry (available online, pdf here); German translation,  'Billiards and Geometrie' also available.
• Rozikov, Introduction to mathematical Billiards

References for Billiards and Surface Dynamics II

• Richard Schwartz, Mostly surfaces (chapters 17-18-20 selecta), available also online;
• Alex Wright, From billiards to Teichmueller dynamics, available online as pdf;
• Howard Masur, Ergodic theory of translation surfaces lecture notes, available also online as pdf;
• Sebastien Gouezel and Erwan Lanneau, Un théorème de Kerckhoff, Masur et Smillie : Unique ergodicité sur les surfaces plates;
• P. Hubert and T. Schmidt, an introduction to Veech surfaces, available also online as pdf;