AI Mathematician: Towards Fully Automated Frontier Mathematical Research
TL;DR
This work proposes AI Mathematician (AIM) framework, which harnesses the reasoning strength of LRMs to support frontier mathematical research and highlights the potential of LRMs in mathematical discovery and suggests that LRM-based agent systems could significantly accelerate mathematical research in the future.
Abstract
Large Reasoning Models (LRMs) have made significant progress in mathematical capabilities in recent times. However, these successes have been primarily confined to competition-level problems. In this work, we propose AI Mathematician (
Aim
framework, which harnesses the reasoning strength of LRMs to support frontier mathematical research. We have identified two critical challenges of mathematical research compared to competition, the intrinsic complexity of research problems and the requirement of procedural rigor. To address these challenges,
Aim
incorporates two core strategies: an exploration mechanism to foster longer solution paths, and the pessimistic reasonable verification method to ensure reliability. This early version of
Aim
already exhibits strong capability in tackling research-level tasks. We conducted extensive experiments across several real-world mathematical topics and obtained promising results.
Aim
is able to autonomously construct substantial portions of proofs and uncover non-trivial insights within each research area. These findings highlight the potential of LRMs in mathematical discovery and suggest that LRM-based agent systems could significantly accelerate mathematical research in the future.
