Summary
Modern science and engineering increasingly rely on numerical simulations of systems with large numbers of interacting variables: new quantum materials with intricate atomic geometries, hot plasmas inside fusion reactors, time-resolved medical image, and many more applications. Storage and manipulation of such high-dimensional information are often impossible using conventional methods, because the required memory and runtime grow exponentially with the number of variables. This project develops a new set of mathematical tools that represent this information in compact, structured form and use