The following notes are based on some lectures that were given at the Advanced Instructional School on Algebraic Geometry at IIT, Powai in the summer of 2005—some of them during the heaviest downpour seen in Mumbai in the last hundred years! The material is covered very rapidly but does not assume much background.

1. Morphisms and Correspondences source
2. Genus of curves source
3. Riemann-Roch for Curves source
4. Moduli of Curves source
5. Linear Algebraic Groups source
6. Curves of genus 0 and 1 source
7. Ruled Surfaces source
8. Other Surfaces source
9. The Shlafly Double-Six source