Title of the course: Basic knot theory
Instructor: Asst. Prof. Georgios Dimitroglou Rizell
Institution: Uppsala University
Dates: 30 July – 5 August 2018
Prerequisites: Calculus. Elementary group theory and elementary topology are very helpful, but not required.
Level: Graduate, advanced undergraduate, beginning Undergraduate
Abstract: This is a course on the theory of knots in three dimensions for beginners. We will study classical topological notions such as the linking number, Seifert surfaces, and the knot group. In addition we will introduce certain knot polynomials (e.g. the Alexander, Jones, and A-polynomials), which are more modern invariants of knots.