Math 216: Foundations of Algebraic Geometry

I have recently posted the latest pdf version (dated October 21, 2025) in the usual place.

I am now in a particularly busy period of this temporary new life where a good deal of my time is spent in service of mathematics through the American Mathematical Society.

The current (September 8 2024) version is posted at the usual place.

27 lines on the Clebsch cubic surface (by Greg Egan, see below for more) A new version of the notes (dated July 27 2024) is available at the usual place , and as usual it supersedes all previous versions.

I had heard that there was an elementary proof that a hypersurface (i.e. in affine space over a field) is normal if and only if it is , but I did not know of an argument, and couldn’t think of an argument.

A new version of the notes is available at the usual place (the February 21 2024 version).

A new version of the notes is available here.

A new version of the notes is available here.

A new version of the notes is available here.

A new version of the notes is available here.