Rumors claim Anthropic's Claude has solved the Navier-Stokes Millennium Problem; Terence Tao clarifies. https://Rwww.kucoin.com/news/flash/anthropic-s-claude-rumored-to-solve-navier-stokes-millennium-problem-terence-tao-clarifies

Blog on the use of AI in mathematical research https://proofsandprompts.com/all-posts/

Some observations of a research mathematician: https://marginalrevolution.com/marginalrevolution/2026/06/how-research-in-math-will-change-from-my-email.html

Results: https://openai.com/index/ten-advances-in-mathematics/

Fake AI papers accepted in academic journals: https://youtube.com/shorts/PVjzs9ZFkuU?si=oPImxdaAFWFkRJyQ

Heavy AI use leads to the decline of critical thinking skills: https://www.youtube.com/shorts/lUGoT-YmKM0

Cognitive offloading and the speedup illusion in human-AI interaction, Sunny Yu, Myra Cheng, Ahmad Jabbar, Ilia Sucholutsky, Katherine M. Collins, Dan Jurafsky, Robert D. Hawkins, https://arxiv.org/pdf/2605.23177

How AI Impacts Skill Formation, Judy Hanwen Shen, Alex Tamkin, https://arxiv.org/abs/2601.20245

Varin Sikka and  Vishal Sikka, "Hallucination Stations: On Some Basic Limitations of Transformer-Based Language Models",  arXiv:2507.07505

The authors show that beyond a certain complexity, LLMs are incapable of carrying out computational and agentic tasks or verifying their accuracy.  https://www.youtube.com/watch?v=AIYQp1n51ZI&t=8s