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 ...

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 ...

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 ...

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 says that the probability of finding the path on the bottom bunk is always greater than or equal to the probability of finding the path that jumps to the top bunk. It doesn’t ...

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 ...

Riemann formulated the conjecture named after him in 1859, in a slim, six-page publication (his only contribution to the field of number theory). At first glance, however, his work has little to ...