Proof-assistant software handles an abstract concept at the cutting edge of research, revealing a bigger role for software in mathematics.

Mathematicians used “magic functions” to prove that two highly symmetric lattices solve a myriad of problems in eight- and 24-dimensional space.

"Raw genius" Ramanujan at Cambridge (centre) PROOFS are the currency of mathematics, but Srinivasa Ramanujan , one of the all-time great mathematicians, often managed to skip them. Now a proof has ...