Mathematics 797W - ST-Algebraic Geometry

The aim of this course will be to learn algebraic geometry through the study of key examples. Topics will include homogeneous spaces (projective space, Grassmannian), curves (elliptic, hyperellipitic, plane curves, genus), and surfaces (rational, ruled, K3,Enriques, blowup of a point). Prerequisites: Basic commutative algebra and complex analysis (as coverin in Math 611-612, Math 621), notion of sooth manifold, differential forms (as covered in Math 703-704)