A group of nine mathematicians has proved the geometric Langlands conjecture, a key component of one of the most sweeping paradigms in modern mathematics. The proof represents the culmination of three ...

The geometric Langlands conjecture poses deep questions for mathematicians, and a 1000-page proof published this year has left them both celebrating and puzzled ...

Israeli-American mathematician Dennis Gaitsgory was awarded the 2025 Breakthrough Prize in Mathematics for his role in the proof of the geometric Langlands conjecture in early April.