Lev Borisov
Topics in Algebra II: Introduction to the moduli space of curves
In this class, we will study complex algebraic curves and their moduli spaces. Moduli spaces reveal how objects like varieties or schemes of particular type behave in familes. The moduli space parametrizing stable n-pointed curves of genus g, gives insight into the study of smooth curves and their degenerations. As curves arise in many contexts, the moduli space of curves is a meeting ground, where constructions from diverse fields can be tested and explored.
Graduate algebra