Knot theory is a branch of topology that has surprisingly practical applications, such as understanding how proteins coil DNA and how molecular structures remain stable. The theory’s central question: ...

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

A defense attorney has dismissed as “conjecture” the prosecution’s case against a Pennsylvania woman charged with killing her two young children.

Pavel Hrubeš, Theories Very Close to PA Where Kreisel's Conjecture Is False, The Journal of Symbolic Logic, Vol. 72, No. 1 (Mar., 2007), pp. 123-137 ...

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

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 ...