Fabio Felici

An introduction to the techniques of Geometric Invariant Theory via a detailed analysis of the GIT problem for polarized curves An introduction to the problem of compactifying moduli spaces through an interpretation of the output of the GIT analysis An introduction to the rich theory of compactified Jacobians for singular curves via three explicit examples A detailed description of the quotient stacks associated to the different GIT quotients, illustrating the interplay between these two techniques