What happens when things combine? This question lies at the heart of the Borell-Brascamp-Lieb inequality (BBL), a ...

The Langlands programme has inspired and befuddled mathematicians for more than 50 years. A major advance has now opened up new worlds for them to explore.

Mathematicians are celebrating a 1000-page proof of the geometric Langlands conjecture, a problem so complicated that even other mathematicians struggle to understand it. Despite that, it is hoped ...

Mathematics Mathematicians spent 2024 unravelling proof almost no one understands The geometric Langlands conjecture poses deep questions for mathematicians, and a 1000-page proof published this ...

On the morning of the 17th, he saw how to calculate a key derivative for this extended GCI that unlocked the proof. “The evening of this day, my first draft of the proof was written,” he said.

Pythagoras Theorem: This article explains the concept of Pythagoras Theorem and its converse. Know the definition, formula, proof, examples and applications of Pythagoras Theorem.

This article gives a new and purely geometric proof for Morley’s theorem. The Monthly publishes articles, as well as notes and other features, about mathematics and the profession. Its readers span a ...