Lean

AI-assisted Lean formalization for Economics and Computation research

This presents a AI counterexample to a classical problem in differential geometry: are smooth tight surfaces rigid (in the sense that isometry implies Euclidean congruence)? It constructs a band foliated by asymptotic lines, and then uses this to create a torus that allows a pain (in fact infinitely many) of isometric but noncongruent examples.

Multi-agent research program on the Riemann hypothesis: adversarial verification and extension of the 2026 67.25% result (2/3 of zeros on the critical line)

Gabriel Saco.

Solutions to open mathematical problems, produced with substantial help from AI systems — papers plus the programs to check them.

A registry and coordination layer for Lean workers and Choir members, enabling role-based membership and formal verification of agent state.