The caustic mathematician Roger Casals Gutiérrez saw on his kitchen wall in 2023. Caustics are a type of singularity, a mathematical phenomenon that occurs when an surface goes through a transition.

Imagine the tap of a card that bought you a cup of coffee this morning also let a hacker halfway across the world access your bank account and buy themselves whatever they liked. Now imagine it wasn’t ...

A painless, non-invasive brain stimulation technique can significantly improve how young adults learn math, my colleagues and I found in a recent study. In a paper in PLOS Biology, we describe how ...