New math paper: generic degree-3 JC(3) counterexamples have Galois group S3
ctjlewis · x · 2026-09-11
Mathematician chloeallegra228 published the paper Generic Degree Three in JC(3): Collision Geometry and Galois Group S3, proving a concrete result:
- For every generic degree 3 counterexample to JC(3), the normal closure of the function-field extension has Galois group S3.
- The work emerged from the AI-assisted student Mathathon context at the center of the ongoing debate, serving as a direct test case of whether such efforts produce real mathematical contributions.
More from Research
- Google's ToolGrad generates tool-use datasets answer-first, hitting near 100% pass rate — DuRuofei · 2026-09-11
- Multi-agent evals still undecided, but colocated async RL training is catching on — stochasticchasm · 2026-09-11
- Does DeepSeek V4.1-Flash's SWA Bounded Replay sacrifice recall to save KV cache memory? — Top-Handle-5728 · 2026-09-11
- Preprint quantifies proteomics data leakage: no real signal still yields AUCs near 0.8 — bttyeo · 2026-09-11
- Santa Fe Institute opens 2027 Complexity Postdoctoral Fellowships, deadline Sep 30, 2026 — yoavartzi · 2026-09-11
- ego2wrist: Faking robot wrist-camera views from egocentric video, then testing if they work — chris_j_paxton · 2026-09-11