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Twins move within reach

Agreeing to pay £50,000 for something worth £2 wouldn't win you any haggling competitions. In mathematics, however, a similar result can bring you international acclaim. This is the case with recent progress towards the famous twin prime conjecture.
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A very old problem turns 20

An "electric atomosphere" is not what you expect at a maths lecture. But it is what prevailed when Andrew Wiles announced his proof of a 350-year-old-old problem, Fermat's last theorem, exactly 20 years ago.
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Putting Turing on stage

Alan Turing was a mathematician and WWII code breaker who was convicted of homosexuality in the 1950s, chemically castrated as a result, died young in mysterious circumstances and still hasn't received all the recognition he deserves. His life clearly makes great material for a play — but a musical? We talk to the directors and lead actor of The Universal Machine.
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Exploring the financial ecosystem

Deciding who is to blame and who should pay for the financial crisis will be a hot topic at the G8 next week. Financial mathematics received a lot of bad press in the aftermath of the crunch and many believe that it was the popularity of mathematical models – often borrowed from physics — that put the financial system at risk. But now models borrowed from biology are helping us understand how this risk might be reduced.
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Origami cranes in a circle in rainbow colours

Folding the future: From origami to engineering

Remember how hard it was to fold maps? Mathematicians have struggled with map folding problems for ages but a recent insight suggests there might be another way to approach them, making an unlikely connection between combinatorics, origami and engineering.

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Ben at the micro frontier

Ben Allanach is a theoretical physicist who has worked at CERN and is interested in something called supersymmetry, which predicts particles that could be dark matter and might be produced in the collisions at CERN. Watch Ben explain it all in this TEDx lecture.
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Why you shouldn't use a toss for overtime

In soccer a coin toss is used to decide who goes first in a penalty shootout and similarly in American football a coin decides who plays offence in overtime. But is this really fair? This article explores an alternative.

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Ripping apart Einstein

Cutting the threads of the spacetime fabric and reinstating the aether could lead to a theory of quantum gravity.
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Melting spacetime

To understand how spacetime might have emerged in the early cosmos we need to heat up the equations, and thaw the space and time dimensions.
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What is space?

Space is the stage on which physics happens. It's unaffected by what happens in it and it would still be there if everything in it disappeared. This is how we learn to think about space at school. But the idea is as novel as it is out-dated.
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What Planck saw

Cosmologists gathered in the Netherlands last week to discuss a new view of the Universe. The Universe as seen by Planck was an international conference to discuss the recently released scientific results from the Planck satellite, including two particularly striking snapshots of the early Universe.
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The Abel Prize 2013

This year's Abel Prize has been awarded to the Belgian mathematician Pierre Deligne for "seminal contributions to algebraic geometry and for their transformative impact on number theory, representation theory, and related fields".