Spring 2021 MATH 276 001 LEC

Topics in Topology
001 LECTuTh 11:00AM - 12:29PMInternet/OnlineIan Agol31355
UnitsEnrollment StatusSession
4Open2021 Spring, January 19 - May 07
Additional Information: 

Prerequisites Consent of instructor

Description Survey of Knot Theory. We will discuss different classes of knots and knot invariants.

Knots and links are closed embedded curves in 3-dimensional Euclidean space.

Knot theory describes the classification of knots and their relations to many

related topics. There are a plethora of invariants of knots in order to distinguish

them up to isotopy (continuous deformation preserving the embedding). The

goal of this topics class will be to investigate some of these invariants, hopefully

finding some connections between different invariants and highlighting some open problems. 

We will also investigate many special classes of knots and links. Examples are hyperbolic knots, fibered knots,

alternating knots, algebraic knots, quasipositive knots, etc. Each week we will consider a different class of

or invariants and explore their interrelationships. 



Office Hours 

Required Text 

Recommended Reading 

Grading Letter grade.

Homework A final presentation.

Course Webpage