In recent years, artificial intelligence has shown great potential in the field of mathematics. It can not only assist calculations, but also help mathematicians discover new laws and patterns. This article will introduce a case where artificial intelligence has been used to achieve breakthrough progress in elliptic curve research. It not only deepens our understanding of elliptic curves, but also provides new ideas for solving some mathematical problems. The intervention of artificial intelligence has brought new vitality to traditional mathematical research and expanded the boundaries of mathematical research.
Mathematicians using artificial intelligence have discovered unexpected patterns in elliptic curves that resemble the collective flight of birds. Their discovery deepens people's understanding of elliptic curves and provides new ideas for solving the millennium problem. Elliptic curves play an important role in modern mathematics, playing a role in both cryptography and puzzle conjecture. In 2022, a transatlantic collaborative team used statistical techniques and artificial intelligence to discover completely unexpected patterns in elliptic curves, dubbed "murmurations," a discovery that brought new perspectives to the world of mathematics. The application of machine learning allows mathematicians to deeply explore the logical relationships behind the patterns in elliptic curves, demonstrating new research directions and discoveries.The combination of artificial intelligence and mathematics has brought new methods and possibilities to mathematical research, and there may be more unexpected discoveries in the future. This not only promotes the development of the field of mathematics, but also provides new reference and inspiration for research in other disciplines. It is believed that as artificial intelligence technology continues to develop, it will play an even more important role in mathematical research.