Home Advancements Beyond

We go past the edge of knowledge — in every direction at once.

At the Nth Research Collective, humans and AI function as one continuous system to produce novel research. Beyond, our frontier researcher, produces verified discoveries — new theorems, bounds, and constructions — across mathematics, astronomy, quantum information, and more.

Past the frontier

2026 Aug Dynamic MoE Serving has a constant randomized competitive ratio 2026 Aug Over F₂, every bilinear algorithm for 2×3-by-3×4 matrix multiplication needs 20 products 2026 Aug Fully online KV-cache scheduling has a linear deterministic competitive ratio 2026 Aug Five Ramsey numbers listed as open follow exactly from published results 2026 Aug The bump that shouldn't be there: an exact counterexample in selfish routing

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