MAS435 Algebraic Topology
Lecturer: Neil Strickland

Module information

The syllabus, timetable and assessment arrangements are here. There is no course material on MOLE/Blackboard; everything is linked from this page instead.

Assessment

The final grade for this module will be determined as follows.

Notes

There is a set of lecture notes covering the full year. There is also a separate survey of examples mentioned in the course.

Lectures

There are some YouTube videos for Section 17 onwards. I plan to experiment with various different formats, and I hope that the quality will improve as I get more practice and better equipment. I welcome comments about what does or does not work. You can email me or just leave YouTube comments.

The plan for the last few weeks of the module is as follows. I will assume that before Easter, everyone watched the videos and/or read the notes up to the end of Section 17 (Chain complexes and homology).

Week 7 (20/4-24/4) Section 18 The chain complex of a simplicial complex
Week 8 (27/4-1/5) Section 19 Chain homotopy
Section 20 The Snake Lemma
Week 9 (4/5-8/5) Section 21 The Mayer-Vietoris Theorem
Section 22 Subdivision
Week 10 (11/5-15/5) Section 23 Simplicial approximation
Revision

Interactive demonstrations

There are a number of interactive demonstrations which illustrate various points in the course. More will be added as the course progresses. There are also direct links to these demonstrations in the lecture notes and solutions to the problem sheets. There are also YouTube videos explaining all of the demonstrations, which you can find by following the above link.

Weekly problems and solutions

These will appear here as the course progresses. You can either hand work in in the Monday lecture, or put it under my office door, or scan it and send it to me by email. The deadline is 5pm on Monday. If you want to use your phone as a scanner, please use CamScanner or a similar app rather than just taking photos.

Past exam papers

2019-20 Exam Solutions
2018-19 Exam Solutions
2017-18 Exam Solutions
2016-17 Exam Solutions
2015-16 Exam Solutions
2014-15 Exam Solutions

Contact details

Neil Strickland
N.P.Strickland@sheffield.ac.uk
Hicks Building, Room J26
0114 2223852