Non Commutative Algebraic Geometry : An Introduction Generalities Some noncommutative Algebra Graded rings The finishing touch on localization Structure sheaves and schemes Algebraic varieties Coherent and quasicoherent sheaves of modules over an algebraic k variety Products subvarieties etc... Representation theory revisited Birationality and quasivarieties A non commutative version of the riemann roch theorem for curves Work in progress [91].