#### Complex Quantum Systems and Number Theory

The last few years have seen the emergence of remarkable connections between fluctuation statistics in complex quantum systems and some long-standing and important problems in number theory, such as the distribution of the primes. They are still myst....

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Unsolved problems in mathematics have intrigued us for centuries. It took over 350 years for anyone to provide a proof for Fermat's Last Theorem, considered by many as the most notorious problem in the history of mathematics, and no one has yet offer....

More details | Watch now#### Curious maths: finding the solution

Unsolved problems in mathematics have intrigued us for centuries. It took over 350 years for anyone to provide a proof for FermatÕs Last Theorem, considered by many as the most notorious problem in the history of mathematics, and no one has yet offe....

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Rigid interfaces force people to present or look at information the wrong way. We need a new generation of flexible Web tools that help people gather the information they want from wherever it is, organize it however they like, create the interaction....

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Symmetry is all around us. Our eyes and minds are drawn to symmetrical objects, from the sphere to the swastika, from the pyramid to the pentagon. Of fundamental significance to the way we interpret the world around us, this unique phenomenon indicat....

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Professor MacKay talks about Dasher, and other communication systems designed using information theory; especially communication systems aimed at disabled people.

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The prime numbers 2, 3, 5, 7, 11, 13, 17... are those whole numbers with no factors, numbers that divide evenly into larger numbers, other than themselves and 1. They are the building blocks of arithmetic and have fascinated mathematicians for millen....

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Professor Stewart's Cabinet of Mathematical Curiosities, a surprise Christmas bestseller, is now accompanied by his Hoard of Mathematical Treasures. Both books are mathematical miscellanies for the general public, ranging from one-liners to mini-essa....

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Practical mathematical models are becoming an accepted part of most medical and scientific disciplines. A few of the more unlikely applications are justifying intertribal warfare, the benefits of cannibalism, how the leopard gets its spots and demons....

More details | Watch now#### The edges of the universe: black holes, horizons and strings

The visible universe has edges, known as event horizons, which surround a black hole or a region of space speeding away faster than light. Event horizons are governed by a strikingly simple set of quantum laws which imply that black holes are at on....

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The Web and associated technological and social networks provide both mathematical challenges and opportunities. How do we model the evolution of these networks taking into account both observed features and incentives?

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Artists are constantly on the hunt for interesting new structures to frame their creative process. From composers to painters, writers to choreographers, the mathematician's palette of shapes, patterns and numbers has proved a powerful inspiration.

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