We have arrived in Berlin for a week of the best maths in Europe.
How many possible genetic relationships are there between a collection of different species? The answer is mind-bogglingly large.
A new study shows they can! At least better than was previously thought.
Keith Mansfield tells us how being able to do maths turns you into a superhero, helps you work out why we haven't yet been contacted by aliens, and remembers his favourite mathematical moment.