Master
2023/2024
Research seminar "Introduction to the theory of knots"
Category 'Best Course for Broadening Horizons and Diversity of Knowledge and Skills'
Category 'Best Course for New Knowledge and Skills'
Type:
Compulsory course (Mathematics)
Area of studies:
Mathematics
Delivered by:
Department of Fundamental Mathematics
When:
2 year, 1, 2 module
Mode of studies:
offline
Open to:
students of all HSE University campuses
Instructors:
Elena Gurevich
Master’s programme:
Mathematics
Language:
English
ECTS credits:
6
Contact hours:
42
Course Syllabus
Abstract
The discipline is taught in the second year of the master's degree. It is aimed at an introduction to the theory of knots.
Learning Objectives
- The aim of the course is to introduce the notion of a knot and its properties, as well as to dive into some important aspects of homotopy theory with the help of this notion.
Bibliography
Recommended Core Bibliography
- A combinatorial introduction to topology, Henle, M., 1994
- Dynamical Systems on 2- and 3-Manifolds, XXVI, 295 p., Grines, V. Z., Medvedev, T. V., Pochinka, O. V., 2016
- The geometry and physics of knots, Atiyah, M., 2004
- Topology, Munkres, J. R., 2000
Recommended Additional Bibliography
- Differential topology, Hirsch, M. W., 1976