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Features from Maths Society where we discuss mathematics, its puzzles, problems and impacts.
Feature
20 January 2026 / 1 February 2026 by Charlton C
The Busy Beaver problem explores a deceptively simple question: “What’s the longest, most complicated thing a computer can do and then stop?” Here is the maths behind Turing machines and busy beaver numbers, to figure out what is the biggest value a computer can process without it being infinite.
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13 January 2026 / 31 January 2026 by Ryan G
Lucky numbers are a perfect example of how humans turn something simple into something meaningful. From a mathematical perspective, numbers don’t have feelings, personalities, or luck attached to them. But people do, and for thousands of years we’ve been assigning meaning to certain digits based on culture, history, and personal experience.
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.
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.
