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 ...

The Conjecture lives in the math discipline known as Dynamical Systems, or the study of situations that change over time in semi-predictable ways. It looks like a simple, innocuous question, but ...

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 ...