Introduction to Algebraic Geometry

algebraic geometry
Francis Sowerby Macaulay
Klein quartic
Châtelet surface
Description
We will study of systems of polynomial equations in several variables. As an introduction to this branch of mathematics, we will examine the computational foundations, the dictionary between ideals in a polynomial ring and affine varieties, and projective geometry.
Prerequisite
MATH 210
Instructor
Gregory G. Smith (ggsmith@mast.queensu.ca)
Synchronous
Meetings
Tuesdays at 08:30–09:20 on Zoom
Wednesdays at 10:30–11:20 on Zoom
Fridays at 09:30–10:20 on Zoom
Office Hour
Thursdays at 15:30–16:20 on Zoom
Primary
Reference
David A. Cox, John B. Little, and Donal O’Shea, Ideals, Varieties, and Algorithms, An Introduction to Computational Algebraic Geometry and Commutative Algebra, Fourth Edition, Springer, 2015.