DeepMind Blog

Discovering new solutions to century-old problems in fluid dynamics

Our new method could help mathematicians leverage AI techniques to tackle long-standing challenges in mathematics, physics and engineering.

arXiv AI
Sep 3

AI Mathematician: Towards Fully Automated Frontier Mathematical Research

The paper introduces the AI Mathematician (AIM) framework, which leverages Large Reasoning Models (LRMs) to tackle frontier mathematical research. AIM addresses the complexity and procedural rigor of research problems through an exploration mechanism for longer solution paths and a pessimistic reasonable verification method for reliability. Early experiments show AIM can autonomously construct significant proof components and uncover non‑trivial insights across real‑world mathematical topics.

By Yuanhang Liu, Yanxing Huang, Yanqiao Wang, Peng Li, Yang Liu
arXiv AI
Jun 17

First Proof Second Batch

arXiv:2606. 18119v1 Announce Type: new Abstract: To assess the ability of current AI systems to correctly solve research-level mathematics problems, we tested several AI systems on a set of ten problems in a broad range of mathematical fields; these problems arose naturally in the research process of the contributors.

By Mohammed Abouzaid, Nikhil Srivastava, Rachel Ward, Lauren Williams
arXiv AI
Sep 17

AI and Human Approaches to Mathematical Problem Solving

The article compares how AI systems and human mathematicians approach 11 long-standing mathematical problems. It finds that AI reports focus more on solving the problem and linking ideas across fields, while human papers emphasize method explanation, assumptions, limitations, and future questions. Both approaches show similar levels of generality, but differ in their research profiles.

By Yang Ding
arXiv AI
Aug 19

The Problem Is the Problem: Towards Scalable Mathematical Discovery

The paper introduces a new human‑AI collaboration paradigm for mathematical discovery, shifting from selecting individual problems to exploring broad research directions. It presents the Find, Attempt, and Recommend (FAR) pipeline, which automatically searches a literature corpus, filters candidate conjectures, and surfaces promising resolutions for expert review. In a combinatorics pilot, FAR processed over 5,000 papers, identified thousands of open conjectures, and ultimately highlighted 77 items that led to new discoveries.

By Zeyu Zheng, Shengtong Zhang, Jeremy Avigad, Prasad Tetali, Sean Welleck