Google released an upgraded version of Gemini 3 Deep Think, aimed at solving complex challenges in science and engineering. The update improves reasoning capabilities and is now available to Google AI Ultra subscribers and select researchers via an API. Early users report significant breakthroughs in fields like mathematics and materials science.

This article presents Aletheia, an AI agent designed to conduct mathematics research autonomously. It can generate and verify solutions in natural language, tackling problems from Olympiad level to PhD exercises, and has produced research papers and evaluated numerous open problems. The authors also discuss new methods for measuring AI autonomy and transparency in mathematics.

A new method leveraging AI techniques has been developed to explore unstable singularities in fluid dynamics equations, addressing long-standing challenges in mathematics and physics. This approach, utilizing Physics-Informed Neural Networks (PINNs), enables unprecedented accuracy in discovering new families of singularities, which could significantly advance understanding in the field.