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

A 17-year-old girl, Hannah Cairo, has just conquered everyone with her ability to develop and solve all kinds of mathematical ...

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 ...

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 ...