At the frontiers of theoretical physics, many of the most popular ideas have one thing in common: they begin from a mathematical framework that seeks to explain more things than our currently ...

Mathematics is one of the oldest disciplines of study. For all its antiquity, however, it is a modern, rapidly growing field. Only 70 years ago, mathematics might have been said to consist of algebra, ...

Does string theory—the controversial “theory of everything” from physics—tell us anything about consciousness and the human brain? If you're enjoying this article, consider supporting our ...

Emily Riehl thinks hard about objects that don't exist in the material world yet mysteriously seem to underlie many things that do. These objects have no concrete existence of their own, but they do ...

Recent decades have witnessed remarkable progress in establishing rigorous mathematical frameworks for quantum field theory (QFT), conformal field theory (CFT), quantum gravity and string theory.

Over the past century, quantum field theory has proved to be the single most sweeping and successful physical theory ever invented. It is an umbrella term that encompasses many specific quantum field ...

In October 1984 I arrived at Oxford University, trailing a large steamer trunk containing a couple of changes of clothing and about five dozen textbooks. I had a freshly minted bachelor’s degree in ...

A mathematical theory of human behaviour may re-organise the social sciences in the same way that Darwin’s Theory of Evolution re-organised the biological sciences, according to new research from the ...

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Emily Riehl sees similarities between the viola, which she grew up playing, and the mathematical field of higher category theory, in which she is currently a leading participant. She thinks of the two ...