Can you move a knight on a chessboard so that it visits every square exactly once? Euler was one of the first to analyse this problem systematically, but some questions about it are still open today.
This problem about an infinite sum has a surprising answer.
This surprising result about 3D shapes tells us something deep about the nature of space.
Euler may not have cracked this problem completely, but it led to a lot of important work, including on what we today know as sudoku.
James Maynard, one of the prize winners at the European Congress of Mathematics, is counting primes that don't have 7s in them. But why?
Mathematicians explore how opinions spread through a society.
Sara Zahedi has won a prestigious prize at the European Congress of Maths. Your future medical diagnoses, and even the welfare of sea life, may depend on her work.
Here's the economic model we'll use as an analogy for gauge symmetry.