Welcome to MATH 5251 -- Algebraic Geometry I (Fall 2025)! This is the first semester of a graduate course on algebraic geometry given at HKUST during the academic year 2025-2026. The course covers the foundations of modern algebraic geometry, focusing on the theory of varieties and schemes (roughly Chapters I and II of Hartshorne's book).
Course outline: here.
Meeting Time and Venue: Classes are held weekly on Friday from 9:00 AM to 11:50 AM in Room 2463 (Lift 25–26).
Lecture :
Lecture 1 (Sep 5):
Lecture 2 (Sep 12):
Lecture 3 (Sep 19):
Lecture 4 (Sep 26):
Lecture 5 (Oct 3):
Lecture 6 (Oct 10):
Lecture 7 (Oct 17):
Lecture 8 (Oct 24):
Lecture 9 (Oct 31):
Lecture 10 (Nov 7):
Lecture 11 (Nov 14):
Lecture 12 (Nov 21):
Lecture 13 (Nov 28):