The Langlands program has inspired and befuddled mathematicians for more than 50 years. A major advance has now opened up new ...

DeepMind's AI has made remarkable progress in mathematical reasoning within a span of just one year.  After earning a silver ...

For the first time, large language models performed on a par with gold medallists in the International Mathematical Olympiad.

One of the biggest stories in science is quietly playing out in the world of abstract mathematics. Over the course of last ...

Black hole and Big Bang singularities break our best theory of gravity. A trilogy of theorems hints that physicists must go ...

This volume consists of the proofs of 391 problems in Real Analysis: Theory of Measure and Integration (3rd Edition). Most of the problems in Real Analysis are not mere applications of theorems proved ...

The content of this chapter revolves around a very classical theorem in the theory of minimal surfaces in Euclidean space, namely the Bernstein theorem, and its proof. With the proof of the Bernstein ...