This is a very deep and fascinating question that is the core of the Langlands program. We can put this into more mundane terms: image you have two good friends, which you think would make such a ...

A key piece of the Langlands Program – a set of ideas so important it’s sometimes referred to as the “grand unified theory” ...

We investigate three of 2024’s biggest breakthroughs in mathematics, including a better way to pack spheres in high dimensions, a new way to avoid forming patterns of numbers, and an 800-page proof of ...