[R] Autonomous Mathematical Discovery in an Open-World Multi-Agent Environment

In an open-world multi-agent environment, the Station achieved autonomous mathematical discoveries across 12 AlphaEvolve construction problems and two case studies. Novel results include a new infinite family of finite-field Kakeya sets, exact 604-point kissing configurations in dimension 11, new records for the discretized Kakeya needle and sign uncertainty problems, and an improved lower bound for Erdős's minimum-overlap problem. Agents also discovered novel infinite families for Book Ramsey numbers, producing numerical constructions, theorems, and analyses to explain their workings.