When she was just 17 years old, Hannah Cairo disproved the Mizohata-Takeuchi conjecture, breaking a four-decade-old ...

Knot theory is a branch of topology that has surprisingly practical applications, such as understanding how proteins coil DNA ...

We give an unconditional proof of the André-Oort conjecture for arbitrary products of modular curves. We establish two generalizations. The first includes the Manin-Mumford conjecture for arbitrary ...

This is a preview. Log in through your library . Abstract We construct a counterexample to the "hot spots" conjecture; there exists a bounded connected planar domain (with two holes) such that the ...

A brilliant teen who honed her skills during the COVID-19 pandemic has solved one of math's most frustrating problems.