Math 512 B1, Modern Algebraic Geometry, Fall 2026

Course Information

Instructor: Sheldon Katz

Phone/email: (217) 265-6258, katzs AT illinois.edu

Office and Hours: 304D Harker Hall, 11am Wednesdays or by appointment.

Class Time and location: MWF 10-10:50, 217 Gregory Hall.

Text: R. Hartshorne, Algebraic Geometry

Supplementary texts: R. Vakil, The Rising Sea: Foundations of Algebraic Geometry (online notes, not the published version); Eisenbud and Harris, Geometry of Schemes

Syllabus Here is a link to the Course Syllabus. Revised September 19, 2026 to replace the incorrect link to Eisenbud and Harris.

Reserve materials: Hartshorne, in library and online with library login; Eisenbud and Harris, in library and online with library login.

Weekly readings and assignments

Here is a list of weekly readings and assignments. These contain evolving plans for which material which will be covered in class each week, together with homework assignments. These plans will be updated to reflect what has actually been covered in class. Weeks are listed in reverse chronological order.

Updates and announcements

The fourth homework assignment is due to be turned in by the end of class on Monday, October 12.

On Friday, October 16, we will start Chapter II.4 on separated and proper morphisms, rather than going ahead to Chapter II.6 on divisors as was previous stated. The weekly readings document has been updated accordingly.

Office hours on Wednesday, October 14 have been rescheduled to 11am on Monday, October 12

I will not be able to teach class on Friday, October 16. Class will be covered by Lena Ji.

The Graduate Algebraic Geometry and Commutative Algebra seminar takes place on Wednesdays at 3pm in Davenport 329.

The weekly brown bag algebraic geometry lunch takes place on Tuesdays at 12:30 in the conference room 201 Harker. Everybody interested in algebraic geometry is welcome to join!

The Algebraic Geometry seminar is held on Tuesdays at 3pm in Loomis 136.