Resolving the invariant subspace problem for operators on Hilbert spaces has been stubbornly difficult, and it is this which Enflo claims to have achieved. This time Enflo answers in the ...

We introduce a method to prove existence of invariant manifolds and, at the same time to find simple polynomial maps which are conjugated to the dynamics on them. As a first application, we consider ...

We generalise the Kreck-Stolz invariants s2 and s3 by defining a new invariant, the t-invariant, for quaternionic line bundles E over closed spinmanifolds M of dimension 4k—1 with H3 (M; ℚ) = 0 such ...

A Chinese team has solved a decades-old mystery that stumped the mathematical world – by resolving the ‘doomsday hypothesis’.