algebra

Emmy Noether

In this episode of Maths on the Move we talk to historian of mathematics David E. Rowe about the play Diving into math with Emmy Noether.

Helge Holden

We talk to Helge Holden, Chair of the Abel Prize Committee, about this year's winner, the prize itself, and the mathematician whose name it carries.

Masaki Kashiwara

The Abel Prize 2025 has been awarded to Masaki Kashiwara for contributions to algebraic analysis and representation theory. Find out what this means with our article!

wallpaper group

Groups have become a core part of the language of modern mathematics and theoretical physics. On this page, find out how groups can help describe roots of polynomials, holes on a surface, and even the laws of physics!

Group theory is the mathematics of symmetry and structure. On this page, find out what a group is and how to think about them.

Creep up on polynomials with this quick introduction.
What is group theory and why is it such an exciting area of maths? Two experts explain.
Having trouble with algebra? Then try these visual proofs of two well-known algebraic identities.
How to derive the famous quadratic formula from pictures, just like the Babylonians did.
It's International Year of Astronomy and all eyes are on Galileo Galilei, whose astronomical observations 400 years ago revolutionised our understanding of the Universe. But few people know that Galileo wasn't the first to build a telescope and turn it on the stars. That honour falls to a little-known mathematician called Thomas Harriot, who excelled in many other ways too. Anna Faherty takes us on a tour of his work.

The Plus anniversary year — A word from the editors

In the fourth and final part of our series celebrating 300 years since Leonhard Euler's birth, we let Euler speak for himself. Chris Sangwin takes us through excerpts of Euler's algebra text book and finds that modern teaching could have something to learn from Euler's methods.