Syllabus
This page is a very brief outline of the material we expect to cover the first semester.
- Definition of a ring and examples
- Homomorphisms and subrings
- Ideals and quotient rings
- Algebras and polynomials
- Noetherian rings
- Algebraic subsets
- Statement of Hilbert’s Nullstellensatz
- Affine varieties
- Regular maps
- Localization