Wired

‘Nasty’ Geometry Breaks a Decades-Old Tiling Conjecture

They made some progress, re-proving the conjecture in two dimensions using different techniques—ones they hoped would be applicable to the three-dimensional case. But then they hit a wall. “At some ...
Quanta Magazine

‘Once in a Century’ Proof Settles Math’s Kakeya Conjecture

Consider a pencil lying on your desk. Try to spin it around so that it points once in every direction, but make sure it sweeps over as little of the desk’s surface as possible. You might twirl the ...
Quanta Magazine

Monumental Proof Settles Geometric Langlands Conjecture

In work that has been 30 years in the making, mathematicians have proved a major part of a profound mathematical vision called the Langlands program. A group of nine mathematicians has proved the ...
RealClearScience

Strangely Curved Shapes Break Geometry Conjecture

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The Conversation

Millennium Prize: the Hodge Conjecture

MILLENNIUM PRIZE SERIES: The Millennium Prize Problems are seven mathematics problems laid out by the Clay Mathematics Institute in 2000. They’re not easy – a correct solution to any one results in a ...
IFLScience

"Once In A Century" Math Proof Threads The Needle On A Decades-Old Conjecture

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The Conversation

Millennium Prize: the Poincaré Conjecture

The problem’s been solved … but the sweet treats were declined. Back to the Cutting Board MILLENNIUM PRIZE SERIES: The Millennium Prize Problems are seven mathematics problems laid out by the Clay ...