One of the beautiful things about maths is that every concept is part of a bigger picture — a picture that grows over time, transcends traditional boundaries, and often informs a range of real-world applications. The collections below aim to present some of these mathematical jigsaws by bringing together content exploring specific topics from different perspectives and at varying levels of depth.
To celebrate the 100th anniversary of quantum mechanics we bring together some of our introductory material on this marvellous theory. Expand your mind and enjoy!
The mathematician Emmy Noether was a "creative mathematical genius" (Albert Einstein) whose work had far-reaching impact beyond the world of pure mathematics. This collection brings together content exploring Noether's life and work
Our digital, networked lives are only possible thanks to cryptography, but quantum computing could make our current techniques useless. How can we prepare for this quantum future and ensure we can continue to live our digital lives?
The type of AI currently in use is based purely on data. How much more powerful would it be if it also has access to humanity's vast knowledge of physics? Find out more in this collection of content.
The process of diffusion has been studied for centuries. But reserachers have recently begun to study a competing process – anti-diffusion. Find out more in this collection of content from a recent research programme at the INI.
See all our coverage of the European Congress of Mathematics 2024!
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.
Some of the best mathematicians from around the world came together in Cambridge to celebrate the maths of Tim Gowers, as well as his 60th birthday!
How many different surfaces are there? The question seems impossible to answer but mathematicians are good at dealing with multitudes. Follow us into the world of moduli spaces!
Artificial intelligence algorithms are often trained on people's personal data. How can we make sure that this data remains private?
We explore some of our favourite content on the intersection of mathematics and art.
