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

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 ...

Now, in a paper posted online on July 7, Thomas Bloom of Cambridge and Olof Sisask of Stockholm University have proved the conjecture when it comes to evenly spaced triples, like 5, 7 and 9. The ...

The geometric Langlands conjecture was first developed in the 1980s by Vladimir Drinfeld, then at the B. Verkin Institute for Low Temperature Physics and Engineering in Kharkiv, Ukraine.

Roger Penrose proposed the strong cosmic censorship conjecture to restore predictability to Einstein’s equations. The conjecture says that the Cauchy horizon is a figment of mathematical thought. It ...

Beal's Conjecture is related. If a, b, c, x, y, and z are all positive integers and x, y, z are greater than two, ax + by = cz is only possible when a, b and c have a common prime factor. Beal ...