When particle physicists try to model experiments, they confront an impossible calculation — an infinitely long equation that lies beyond the reach of modern mathematics. Fortunately, they can ...

Ever better experimental techniques allow us to perform experiments under tightly controlled conditions and can deliver gigantic amounts of data reflecting the complexity of biology. This has vastly ...

Algebraic structures such as operads, Lie algebras and higher A∞-algebras underpin many foundational aspects of modern mathematics. When combined with homotopy theory—the study of continuous ...

Mathematical models have long provided a robust framework for understanding the intricate processes underlying visual perception and neural processing. By combining principles from differential ...