Mathematicians in the age of AI

2026-03-03

AI Summary

This study examines the transformative impact of rapid advances in artificial intelligence on core mathematical practices, particularly automated theorem proving, formal verification, and natural language–based reasoning. The paper provides a systematic review of recent breakthroughs in these areas and offers a forward-looking analysis of emerging human–AI collaborative paradigms in mathematical research. It argues that the mathematical community must proactively engage in the development and integration of AI tools to foster interdisciplinary synergy. By doing so, mathematicians can lead—rather than merely react to—the ongoing methodological shift driven by AI, thereby harnessing its potential to reshape research practices and unlock new forms of intellectual collaboration in the intelligent era.

Technology Category

• Knowledge Representation and Reasoning: Automated Reasoning and Theorem Proving
• Humans and AI: Other Foundations of Human Computation & AI
• Philosophy and Ethics of AI: Artificial General Intelligence

Application Category

• Semantics and Knowledge: Data modeling to support human-machine intelligence, including LLMs agents, intelligent system behavior, explanations, and user-friendly interactions
• Economics, Online Markets and Human Computation: Research challenges in human and human-AI computation
• Security and Privacy: Security and privacy of machine learning and AI applications

Abstract

Recent developments show that AI can prove research-level theorems in mathematics, both formally and informally. This essay urges mathematicians to stay up-to-date with the technology, to consider the ways it will disrupt mathematical practice, and to respond appropriately to the challenges and opportunities we now face.

Problem

• AI
• mathematics
• mathematical practice
• technology disruption

Innovation

• AI-assisted theorem proving
• formal mathematics
• mathematical practice
• AI disruption
• research-level theorems