Course MAT469

Advanced Topology

The course will target the following topics: The definition of knots in the 3-sphere, first invariants; algebraic knots and links in the 3-sphere; classification of algebraic knots, Puiseux pairs, iterated torus knots; fibred links, monodromy, the case of algebraic links; higher dimensional algebraic knots, Milnor theory of complex isolated hypersurface singularities.

Description of classes

Weekly homework assignments 5-6 problems

Take Home Midterm Exam: 30%
Take Home Final Exam: 40%
Problem Sets 30% 

Who Takes This Course

Open to Juniors and Seniors only

Placement and Prerequisites

MAT365 or departmental permission