Characteristic classes encapsulate intrinsic geometric information about vector bundles and, more broadly, coherent sheaves over algebraic varieties. Their formulation in algebraic geometry has ...

Algebraic geometry is a field that investigates the solutions of systems of polynomial equations and the geometric structures they define. At its core lies the study of algebraic varieties, whose ...

Syllabus: We will plan to cover approximately Chapter 2 and (time permitting) part of Chapter 3 of Hartshorne. For certain parts of the material, we will follow Vakil. Homework will consist of ...