A leading researcher from OpenAI announced a significant mathematical breakthrough related to GPT-5, but it turned out that this announcement was based on misinformation or a misunderstanding. The claims regarding the advancements in GPT-5's mathematical capabilities have sparked controversy and skepticism within the AI community.

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.

Spanish mathematician Javier Gómez Serrano has joined forces with Google DeepMind to tackle the Navier-Stokes equations, a millennium-old mathematical problem with a $1 million prize for its solution. Utilizing artificial intelligence, the team believes they are close to a breakthrough that could revolutionize the understanding of fluid dynamics, impacting fields such as meteorology and medicine. Gómez Serrano emphasizes the rapid progress being made and the potential of AI to transform mathematical research.