According to Lex Fridman (@lexfridman), his recent conversation with renowned mathematician Terence Tao highlighted the emerging role of artificial intelligence in addressing some of the hardest problems in mathematics and physics. Tao discussed how advanced AI systems can assist researchers by automating complex computations, generating novel conjectures, and analyzing vast datasets, which accelerates mathematical discovery and problem-solving. The discussion emphasized practical AI applications in theoretical research and suggested that future AI-powered tools could unlock significant breakthroughs in both academic and industrial settings (source: Lex Fridman Twitter, June 14, 2025).

According to Oriol Vinyals on Twitter, Google introduced Gemini 2.5 Pro Deep Think at Google I/O 2025, showcasing a significant leap in AI reasoning capabilities. This updated model is specifically designed to solve highly complex problems, such as USAMO (USA Mathematical Olympiad) questions that have previously challenged state-of-the-art AI systems. The Deep Think mode empowers Gemini 2.5 Pro to address advanced reasoning tasks, positioning it as a leading solution for industries requiring sophisticated AI-driven analysis, including advanced research, education technology, and enterprise problem-solving. This advancement demonstrates Google’s commitment to pushing the boundaries of AI and opens new business opportunities for leveraging AI in complex domains (Source: Oriol Vinyals, Twitter, May 22, 2025).