ChatGPT's breakthrough is not what it seems.

The result is correct but challenges core norms of mathematics: checking proofs, crediting ideas and keeping research open to everyone.

Large language models can write essays, summarize legal clauses, explain ancient history, draft emails, and produce code that looks impressively official. Then you ask one to multiply two awkward ...

In the mid-noughties, when music by the Killers and Franz Ferdinand blared out of every pub and nightclub I passed, I spent my days and nights struggling through a Ph. D.

Math illuminates how traffic flows, how our cells build proteins and even how to speed up medical imaging scans. Some worry ...