This podcast episode delves into the intersection of artificial intelligence and mathematics, particularly through the lens of Harmonic, a research lab founded by Vlad and Tudor, which champions a direct approach to teaching AI mathematics. Through various discussions, the speakers emphasize that mathematical mastery is not only fundamental for AI's reasoning capabilities but also enhances the problem-solving skills of individuals across diverse fields. They explore the evolving relationship between the math community and AI, the significance of tools like Lean for formal verification, and the potential broad applications of their technology in areas such as software engineering and theoretical physics. As AI approaches a new frontier in mathematics, the importance of human oversight and interpretation remains paramount, signaling a transformative shift in the roles of mathematicians and the future of mathematical collaboration.