On Monday, I looked at the possibility of artificial intelligence through the perspective of history: the history of the field and of expert conjecture. That analysis revealed that, up until now, ...

Before it became the province of futurists, the word singularity had significance in both mathematics and the physical sciences. A mathematical singularity is a point at which a function is not “well ...

Watching this soap film stretch, rupture and reform in slow motion is mesmerising – but mathematicians see more than a trippy image. The point where the bubble breaks explosively is a mathematical ...

How do things break? The fracture of materials is part of our everyday experience, and yet the process is not well understood. A study of crack propagation at microscopic scales shows the devil in the ...

Partial Differential Equations (PDEs) are central to both pure and applied mathematics. Any quantity which changes in space and time will satisfy certain partial differential equations because the ...