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Christian tells us how geometry can help improve methods for solving differential equations.

Harini talks about how work investigating the interaction of light and matter on the nanoscale, and some important applications.

Sophie tells us how computer algorithms that, in theory, are hopelessly inefficient, perform extraordinary well in practice.

Dragana talks about financial maths, the nature of research, and women in maths and computer science.

Janelle tells us how computer algorithms can help investigate crime scenes.

Chinedu tells us how fixed points can help improve algorithms designed to solve complex real-world problems.

Adele talks about her work on topology, inspired by spheres, doghnuts, and the power of maths to capture intuition.

Ray Goldstein explains what little green algae have told us about evolution the maths of synchronisation.

If, as string theory suggests, the world is made of strings, then what does that mean for a geometry of points? Find out more in this video.

Nadia Bahjat-Abbas is a mature student working on one of the hardest problems of modern physics. Find out more in this video.