When she was just 17 years old, Hannah Cairo disproved the Mizohata-Takeuchi conjecture, breaking a four-decade-old ...

After finding the homeschooling life confining, the teen petitioned her way into a graduate class at Berkeley, where she ...

The Langlands program has inspired and befuddled mathematicians for more than 50 years. A major advance has now opened up new ...

The conjecture First posited by the physicist Pieter Kasteleyn to a colleague in 1985, the bunkbed conjecture really has nothing to do with beds at all. Rather, it concerns graphs – and unless ...

Disproving the telescope conjecture would require finding a more powerful invariant that could see things Morava E -theory cannot. For decades no such invariant seemed to be available, placing the ...

I expected the conjecture to be true in all dimensions,” said Mihalis Kolountzakis, a mathematician at the University of Crete. “But I guess in high enough dimensions, intuition does not go ...

The bunkbed conjecture, for its part, would imply a widely believed assumption in physics about how likely a fluid is to travel through a solid. It would also hint at how to solve related problems ...

If the twin primes conjecture were false, that would be a miracle, requiring that some hitherto unknown force be pushing the primes apart. Not to pull back the curtain too much, but a lot of ...

The local-global conjecture, on the other hand, was not. Over the next few days, Stange and Rickards put together a proof of their findings, working so fast, so feverishly and so precisely that Haag ...