AI helped surface a counterexample to the 3D Jacobian Conjecture
pickover · x · 2026-07-20
AI-assisted math discovery: Levent Alpöge reportedly found a counterexample to the long-standing Jacobian Conjecture in 3D, using Claude Fable 5. The Jacobian Conjecture was posed in 1939 by Ott-Heinrich Keller and has been a major open problem for decades. The post frames this as a striking breakthrough in mathematical problem solving with AI assistance.
More from Research
- SenseTime unveils U1 Pro and open-sources a 50M-sample vision dataset at WAIC 2026 — 机器之心 · 2026-07-21
- Baseten study finds new facts in LLM weights are fragile unless trained from many restatements — alex_verem · 2026-07-21
- Kimi K3 and Fable 5 now look much closer than the old open-vs-closed gap — FinanceYF5 · 2026-07-21
- uv-scripts/ocr returns to the top of Hugging Face datasets with a JSON model picker — vanstriendaniel · 2026-07-21
- DeepSearch-World trains web agents with 420K verifiable QA tasks — HKUST · 2026-07-21
- GigaAM Multilingual targets low-resource Central Asian ASR with 2M hours of audio — ai-sage · 2026-07-21