Singularity theory in differential geometry investigates points or loci at which smooth structures—such as maps, immersions or submanifolds—degenerate. At these singular points the Jacobian vanishes ...

A new AI benchmark suggests the singularity—the moment machines surpass human intelligence—may arrive in under 2,000 days.

The Singularity Theory predicts a moment when artificial intelligence surpasses human intelligence. Not gradually but decisively. Once machines can improve themselves faster than humans can understand ...

Can we do away with the troublesome singularity at the heart of black holes? A new paper in JCAP reimagines these extreme objects in light of current knowledge. “Hic sunt leones,” remarks Stefano ...

Algebraic structures in singularity theory provide a rigorous framework for classifying and analysing points at which algebraic varieties fail to be smooth. Central to this endeavour are local ...

Ever since general relativity pointed to the existence of black holes, the scientific community has been wary of one peculiar feature: the singularity at the center—a point, hidden behind the event ...