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Explore how machine learning is revolutionizing mathematical discovery through this Members' Colloquium lecture from the Institute for Advanced Study. Discover AlphaEvolve, a groundbreaking evolutionary coding agent that leverages large language models to autonomously uncover both established and novel mathematical constructions across diverse fields including analysis, geometry, combinatorics, and number theory. Learn how this innovative system can generalize results from finite input values into universal formulas and understand its integration with Deep Think and AlphaProof within a comprehensive framework that provides automated proof generation and enhanced mathematical insights. Examine how general-purpose AI systems are enabling systematic exploration of vast mathematical landscapes at unprecedented speeds, fundamentally transforming the scale and approach to mathematical research and discovery.
