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Features from Maths Society where we discuss mathematics, its puzzles, problems and impacts.
Feature
30 December 2025 / 6 January 2026 by Charlton C
Mathematics is often described as a universal language, but in 2025, it felt more like a universal bridge. This past year, the mathematical community didn't just solve isolated puzzles – they connected long-separated islands of thought. Here are five of the biggest stories from the past year in the world of mathematics.
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9 December 2025 / 6 January 2026 by Charlton C
With all the greats from Cantor to Gauss, from Plato all the way to Marcus du Sautoy, not to mention Albert Einstein and Bertrand Russell, and even members of our own society, here are 60 of the greatest, most inspirational, or just plain funny mathematical quotes.
25 November 2025 / 31 December 2025 by Nathan AG
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.
11 November 2025 / 31 December 2025 by Roksanka K
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 / 3 November 2025 by Nathan AG
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 / 31 December 2025 by Ryan G
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 / 6 October 2025 by Nathan AG
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.
5 August 2025 / 1 September 2025 by Charlton C
Ever wondered what a shape with four dimensions would look like? Discover tesseracts, klein bottles, and how to create four dimensional space.
17 June 2025 / 31 December 2025 by Nathan AG
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?
10 June 2025 / 31 December 2025 by Aarav S
As one of five Learned Societies for Mathematics in the UK, and one of the world’s oldest mathematical societies, you’ve might have heard of the London Mathematical Society (LMS), and maybe even attended a lecture by them. Have you ever wondered who they actually are, or a bit more about them?
