You should take some time to read this very well-written piece about Shin Mochizuki’s claimed proof of the *abc* conjecture: “The Paradox of the Proof”, by Caroline Chen.

It covers the story from all angles: a biog of Mochizuki, a clear, non-nonsense description of the conjecture, the tale of the mathematical community’s attempts to understand it, and some insightful rumination on the nature of proof.

*via Marcus du Sautoy on Twitter, among others*

(TL;DR – still nobody knows whether the proof is correct or not)