In mathematics, no researcher works in true isolation. Even those who work alone use the theorems and methods of their colleagues and predecessors to develop new ideas. But when a known technique is ...

This article was published in Scientific American’s former blog network and reflects the views of the author, not necessarily those of Scientific American Whenever an impressive new technology comes ...

Some scientific discoveries matter because they reveal something new — the double helical structure of DNA, for example, or the existence of black holes. However, some revelations are profound because ...

Peter Scholze wants to rebuild much of modern mathematics, starting from one of its cornerstones. Now, he has received validation for a proof at the heart of his quest from an unlikely source: a ...

Growth and change in technology have brought a boom in the availability of data and the need for people to shape technologies. Growing areas like machine learning require expertise in programming, ...