Algebraic geometry has one of the longest and most intricate histories among branches of mathematics. Classically, it studies solutions sets of polynomial equations in several variables. The scope of algebraic geometry is both wide and deep, drawing from almost every area of mathematics and being applied to several other areas including differential geometry, topology, number theory, algebra, and mathematical physics among many others. This course will serve as a first introduction into the subject.
This is a student-led colloquium that will be led by Talon Stark under the supervision of David Morrison.
Miles Reid, Undergraduate Algebraic Geometry, 1st edition Cambridge University Press
William Fulton, Algebraic Curves, 1st edition The Benjamin/Cummings Publishing Co.
Atiyah & I. MacDonald, Introduction to Commutative Algebra, 1st edition Westview Press
David Mumford, The Red Book of Varieties and Schemes, 2nd edition Springer