Course Identification

The goal of our course is to provide a first introduction to enumerative geometry, with an emphasis on examples and geometrical motivations. The course will be based on the content of the first chapters of Sheldon Katz's book on Enumerative geometry and string theory, supplemented by an introduction to modern algebraic geometry and Schubert calculus.  We will introduce cohomology and intersection theory. We will work together through beautiful examples in enumerative geometry. If time allows it, we will provide a brief introduction to string theory and its connections with enumerative geometry.

The student will learn about basic algebraic geometry and intersection theory. He will become more familiar with the language of modern algebraic geometry, and be able to solve elementary enumerative problems. He will have been introduced with some modern topics in enumerative geometry, and gotten intuition about their link with string theory.