Mathematical Discovery

Mathematical discovery is undergoing a transformation driven by the integration of artificial intelligence (AI) and advanced computational methods. Current research focuses on developing AI algorithms, including large language models and deep learning architectures, to assist in tasks such as conjecture generation, proof verification, and the discovery of novel mathematical structures and relationships among constants. This work aims to augment human mathematical intuition and accelerate the pace of discovery, potentially leading to breakthroughs in various scientific fields and practical applications by enabling the exploration of vast mathematical landscapes previously inaccessible to human researchers. The emphasis is on creating hybrid human-AI approaches that leverage the strengths of both, rather than replacing human mathematicians.