How do we reduce toil, improve health, boost security and enhance creativity? The technologies behind these always rely on scientific principles. We develop the theories for the tech of the future, such as novel materials, predictive medicine, digital security and alternative computing.
Capturing in simulations and mathematical form the surface structure of crystals and how they coalesce when heated but not melted.
Simulating the molecular structure of materials under pressures so extreme that we are not yet able to study them in the laboratory.
Designing optimal self-similar structures for compact counter-current heat exchange to reduce heating costs and greenhouse emissions.
Using fractal, or self-similar, patterns to design the lightest possible load-bearing structures with new strength-to-mass scaling laws.
Developing a theory of high-dimensional statistical inference using analytic tools from the statistical physics of disordered systems.
Reconstructing the 3D shape distribution of rock grains or other randomly packed objects with access to only a 2D slice through them.
Creating powerful mathematical methods for predicting the outcomes of diseases that pinpoint the right treatments and speed up drug trials.
Predicting the geometry and behaviour of densely packed objects from first principles, from spheres to polydisperse spheres to cells.
Understanding the dynamics of networks of memristors, a new paradigm for low-power computation inspired by the structure of the brain.