Middlebury

MATH 0338

Fundamental Algebraic Geometry

Fundamentals of Algebraic Geometry
Algebraic geometry is one of the oldest areas of mathematics, yet it is thoroughly modern and active. It is the study of geometric spaces locally defined by polynomial equations. The aim of this course is to introduce students to some basic notions and ideas in algebraic geometry. We will study affine and projective spaces, affine and projective curves, singularities, intersection theory, Hilbert’s Nullstellensatz, Bezout’s Theorem, and the arithmetic of elliptic curves. There will be an emphasis on examples and problem solving. (MATH 302) 3 hrs. lect.
Subject:
Mathematics
Department:
Mathematics
Division:
Natural Sciences
Requirements Fulfilled:
DED

Sections

Spring 2020

MATH0338A-S20 Lecture (Dorman)

Spring 2018

MATH0338A-S18 Lecture (Dorman)