We rely on maps to make sense of the world around us. But for most maps, points of extreme irregularity pop up. Those points are called singularities. A new study reports the discovery of a set of equations capable of untangling the distortions in maps caused by singularities.

Mathematicians are challenging the idea that dark energy is responsible for the accelerating expansion of the universe. In a new paper published in Proceedings of the Royal Society A, mathematicians from the University of California, Davis, provide mathematical proof that instabilities inherent in the Einstein-Euler equations imply that the current model of the expanding universe is not viable.