Cajal

Okay so Luke Johnston and Pedro Nobre looked at the state of scientific discovery and basically said "this is moving way too slow" and decided to unleash superhuman AI mathematicians on it. They built an actual multi-agent system that collaborates to discover and verify mathematical proofs in Lean, the formal verification framework. This isn't like, casual stuff. This is AI that can autonomously formalize entire bodies of applied mathematics and discover novel results that humans didn't even know existed yet.

Luke's been steeped in this his entire life—did ML and neuroscience research at Oxford, Cambridge, and UCL. He's literally been at the intersection of math, AI, and science for ages. They named the company Cajal after Santiago Ramón y Cajal because apparently he's the father of modern neuroscience and also just a legend in general. The system they built, Tau, is handling quantum computing and finance as the initial domains where they're deploying their AI mathematicians. These aren't theoretical proofs—they're actually discovering real stuff that matters.

This is what happens when you give AI agents the tools to actually prove things formally instead of just guessing. Cajal is basically speedrunning the future of mathematical discovery, and honestly it's kind of insane.