Hungarian mathematician Paul Erdős’ ‘planar unit distance conjecture’ has stood since 1946 – but an AI disproof has made mathematicians pay attention.

A parade of global leaders through Beijing is good for optics. But this visibility does not necessarily translate into global leadership.

Football Australia and Cricket Australia highlight how sport organisations can appear commercially successful while remaining financially fragile.

National hasn’t achieved two of its three big fiscal policy promises from the previous election. Thursday’s budget will be a hard sell.