The simple act of packing your luggage can open a complex can of worms.

Holly Krieger works in dynamical systems theory, in particular on chaotic systems. Some of her greatest mathematical moments have come from teaching students.

Nilanjana Datta works in quantum information theory. She loves how mathematics can describe nature simply and elegantly.

Julia Gog is a mathematical biologist, helping to understand how infectious diseases spread. One of her favourite eureka moments came while she was playing a computer game.

Natalia Berloff is a professor of applied mathematics. It was a problem in network theory that lured her into the exciting world of maths when she was ten years old.

Carola-Bibiane Schönlieb uses mathematics to process and analyse images. She loves the collaborative nature of maths.

Anne-Christine Davis is a professor of theoretical physics whose long career has seen attitudes towards women change for the better. She had to put up with quite a lot at the start.

There are some amazing patterns hiding within simple arithmetic.