01
Groups and symmetry
What is symmetry, stated precisely?
Advanced · Module 11
Abstract Algebra
Groups, rings and fields: the study of symmetry itself. Noether's theorem, the Standard Model and public-key cryptography all live here.
By the end of this module
You can recognise the same structure wearing different clothes — the core skill of modern mathematics.
0%0 / 3 complete
02
Rings, fields and polynomials
Which familiar rules survive when you drop the familiar numbers?
03
Galois theory
Why is there no formula for the quintic?
Quiz
Not written yet for this module. The lectures above are complete and the module still counts toward your progress.