Registration Deadline: January 19th, 2025

Instructor: Professor Ben Webster, University of Waterloo

Course Dates: January 6th - April 4th, 2025
Mid-Semester Break: February 17th - 21st, 2025
Lecture Times: Mondays, Wednesdays, & Fridays | 10:30 AM - 11:20 AM (ET)
Office Hours: TBA

Registration Fee: PSU Students - Free | Other Students - CAD$500

Capacity Limit: 50 students

Format: Hybrid synchronous delivery

• In-Person (for students in Waterloo) - MC 5479, University of Waterloo
• Online via Zoom (for students not in Waterloo)

Course Description

This course will cover the basics of the theory of schemes and sheaves, including affine and projective schemes, morphisms between schemes, fibered products, dimension and regularity, line bundles, Riemann-Roch and Serre duality for curves.

Prerequisites: A basic knowledge of commutative algebra and varieties in $\mathbb{C}^n$.  One of PMATH 446 or 464 should be sufficient, though both would be better. Auditing is encouraged.

Evaluation: There will be regular problem sets, which will be turned in and marked on Crowdmark.  For a final project, students will record a presentation of an additional topic of their choosing.