Lecture Notes - 2018:


  • Dynamical Systems and Ergodic Theory
  1. Benoist’s minicourse “Arithmeticity of discrete groups”. Lecture I: A survey on arithmetic groups - html
  2. Benoist’s minicourse “Arithmeticity of discrete groups”. Lecture II: Closedness of the L-orbits - html
  3. Benoist’s minicourse “Arithmeticity of discrete groups”. Lecture III: From closedness to arithmeticity - html
  4. Benoist’s minicourse “Arithmeticity of discrete groups”. Lecture IV: Other examples - html
  • Geometry
  1. Wolpert’s examples of tiny Weil-Petersson sectional curvatures - html
  • Number Theory
  1.  Cusick’s conjecture on Lagrange and Markov spectra after 3.46… - html
  2. Continued fractions, binary quadratic forms and Markov spectrum - html