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Feature
25 November 2025
Sitting at the heart of the Clay Mathematics Institute’s seven Millennium Prize Problems, each carrying a bounty of $1 million, is the Birch and Swinnerton-Dyer (BSD) Conjecture, a riddle that proposes a stunning connection between two seemingly unrelated universes of mathematics – algebraic geometry and complex analysis.
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11 November 2025
You’ve probably studied maths and physics as two different subjects. You’ve also probably noticed how much they have in common. So how deep is the relationship between them and how are their histories intertwined?
21 October 2025
A million-dollar mystery of the universe, the Yang-Mills Existence and Mass Gap is one of the seven Millennium Prize Problems set by the Clay Mathematics Institute. This problem demands a rigorous mathematical proof for the quantum version of the Yang-Mills equations, which form the foundation for the Standard Model of particle physics.
30 September 2025
Imagine you’re standing in front of an infinite number of sock drawers. Each drawer contains at least one sock, but all the socks are jumbled up, and, just to make things spicy, they’re not labelled or colour-coded. Your mission? Pick one sock from each drawer, forming a neat, infinite collection of single socks. Welcome to the Axiom of Choice.
23 September 2025
The Poincaré Conjecture, formulated by the great French mathematician Henri Poincaré in 1904, is a central question in topology, the study of shapes that can be stretched or bent without tearing, and the only Millennium Prize problem to have been solved.
News
21 August 2025
Maths Society is proud to open an exciting online maths shop, stocking a range of maths merchandise from gleaming blue enamel badges to maths mugs and much more, a brilliant way to share, express and celebrate a love and appreciation for maths.
5 August 2025
Ever wondered what a shape with four dimensions would look like? Discover tesseracts, klein bottles, and how to create four dimensional space.
Maths News
4 August 2025
In 1979, the London Mathematical Society organised the first ever Hardy Lectureship, which has now become one of the most prestigious mathematical lecture series in the world, and biennially brings together mathematicians, students, university faculty, and research staff alike. In 2025, the lectureship was conducted by Emily Riehl, from the USA’s John Hopkins University.
22 July 2025
The People’s Republic of China topped the medal table at the 66th International Mathematical Olympiad held in Sunshine Coast, Australia, winning the competition for the 25th time in 2025, 15 points ahead of the USA.
17 June 2025
Hilbert’s Paradox of the Grand Hotel is a fascinating thought experiment in mathematics, introduced by German mathematician David Hilbert in the early 20th century. You arrive at a hotel with an infinite number of rooms, but they are all full. However, you can still check in and get a room. Want to find out how?
