Yesterday I had a great conversation with Dmitri Tymoczko about groupoids in music theory. But at this Higgs Centre Colloquium, he preferred to downplay groupoids and talk in a way physicists would ...

Here’s a draft of my next column for the Notices of the American Mathematical Society. It’s about the inverse cube force law in classical mechanics. Newton’s Principia is famous for his investigations ...

The poet Blake wrote that you can see a world in a grain of sand. But even better, you can see a universe in an atom! Bound states of hydrogen atom correspond to states of a massless quantum particle ...

Nov 3, 2025 Exploiting the secret 4-dimensional symmetry of the Kepler problem to think about the periodic table of elements in a new way.