Teaching:   Riemann surfaces -- part II course, Winter 2012. Example sheet 1 Example sheet 2 Example sheet 3 Algebraic geometry,  -- lectures notes (only first 8 lectures)-- Part III course, Fall 2011. Example sheet 1 Example sheet 2 -- solution of exercise 7 Example sheet 3 Lectures on birational geometry -- lecture notes -- graduate course at College de France, Winter 2011. Videos of these lectures can be found on the website of Fondation Sciences Mathématiques de Paris . Topics in algebraic geometry (2), -- lecture notes -- PhD course, Winter 2010 Algebraic geometry,  -- lectures notes -- (thanks to Clemens Koppensteiner for nicely typing and improving the notes, and providing additional information) -- Part III course, Fall 2009. Example sheet 1 Example sheet 2 Example sheet 3 Example sheet 4 Topics in algebraic geometry -- PhD course, Winter 2009 (dedicated to Grothendieck) Riemann surfaces -- part II course, Fall 2008 Example sheet 1 Example sheet 2 Example sheet 3 Algebraic topology -- part II course, Winter 2008 Example sheet 1 Example sheet 2 Example sheet 3 Algebraic geometry -- lecture notes -- part III course, Fall 2007 Example sheet 1 Example sheet 2 Birational geometry -- lecture notes -- part III course, Winter 2007