Twenty-five Fields Medal recipients have jointly released a declaration addressing the growing misalignment between artificial intelligence applications and the goals of the mathematical community. They caution that recent advances in large language models (LLMs) capable of solving significant mathematical problems have led AI companies to emphasize problem-solving benchmarks that may harm the science of mathematics itself.
The mathematicians explain that research mathematics is fundamentally about developing conceptual understanding and insights into structures underlying shapes, numbers, and natural phenomena. Historically, solving famous problems served as milestones that guided deeper exploration and community engagement, often culminating in widely accessible educational materials.
However, the signatories argue that the current AI-driven rush to produce solutions risks bypassing the essential human processes of discussion, refinement, and proper attribution. This approach could disrupt the transmission of ideas and the nurturing of students and researchers who form the core of the mathematical ecosystem.
They highlight broader concerns about AI's impact on intellectual work across scientific and creative fields, where the focus on generating results may overshadow the development of understanding and new questions. The mathematicians emphasize that while AI holds potential to enhance mathematical study, the ultimate effect depends on how humans choose to integrate and manage these technologies.
The declaration calls for urgent dialogue within the mathematical community, among AI developers, and across society to address these challenges and ensure that AI supports rather than undermines the foundational goals of intellectual work.