Computers have long been useful for studying mathematical problems. But recently computer techniques have been used to prove new theorems in geometry, specifically related to the study of gravity through Einstein's theory of General Relativity. This Oxford Mathematics Public Lecture will describe these developments and what they might mean for the future.

Quantum computers achieve a remarkable exponential speedup in integer factorisation (potentially making widely deployed cryptographic schemes vulnerable). Beyond that large-scale applications remain comparatively scarce, and if a fully error-corrected quantum computer were available it is not clear what 'killer app' it would be used for.

The University of Oxford has launched Oxford × QRT Labs as part of a major new long-term philanthropic partnership with Qube Research & Technologies (QRT), alongside Imperial College London and the University of Cambridge.