Mathematical physics

For decades, extremal black holes were considered mathematically impossible. A new proof reveals otherwise.

How are scientists able to crack fundamental questions about nature and life? How does math make the complex cosmos understandable? In this episode, the physicist Nigel Goldenfeld and co-host Steven Strogatz explore the deep foundations of the scientific process.

By studying the geometry of model space-times, researchers offer alternative views of the universe’s first moments.

Mathematicians prove a theorem that illuminates the geometry of universes with tiny amounts of mass.

A new magnum opus posits the existence of a hidden mathematical link akin to the connection between electricity and magnetism.

Modular forms are one of the most beautiful and mysterious objects in mathematics. What are they?

For a half century, mathematicians have tried to define the exact circumstances under which a black hole is destined to exist. A new proof shows how a cube can help answer the question.

By treating molecules as geometric tessellations, scientists devised a new way to forecast how 2D materials might self-assemble.

Wave-science researcher Ton van den Bremer and Steven Strogatz discuss how rogue waves can form in relatively calm seas and whether their threat can be predicted.