Advancing Mathematics Research
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Advancing Mathematics Research with AI-Driven Formal Proof Search
arXiv:2605.22763v2 Announce Type: replace Abstract: Large language models (LLMs) increasingly excel at mathematical reasoning, but their unreliability limits their utility in mathematics research. A mitigation is using LLMs to generate formal proofs in languages like Lean. We perform the first large-scale evaluation of this method's ability to solve open problems.
Iteris: Agentic Research Loops for Computational Mathematics
Announce Type: new Abstract: Recent advances in large language models and agentic AI systems have enabled significant progress in mathematical discovery, from solving competition problems to tackling research-level conjectures. However, open problems in computational mathematics have received comparatively less attention: research in this area often requires not only proofs but also numerical experimentation, adversarial constructions, and algorithm design. In this paper, we introduce an...
Code2Math: Can Your Code Agent Effectively Evolve Math Problems Through Exploration?
arXiv:2603.03202v3 Announce Type: replace Abstract: As large language models (LLMs) advance their mathematical capabilities toward the IMO and research level, the scarcity of challenging, high-quality problems has become a significant bottleneck for training, evaluation and self-evolution of LLMs. Simultaneously, recent code agents have demonstrated sophisticated skills in agentic coding and reasoning, suggesting that code execution can serve as a scalable environment for mathematical...
Overarming America: Game theory explores how fear and social pressure drive gun purchases
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Automated Conjecture Resolution with Formal Verification
arXiv:2604.03789v2 Announce Type: replace Abstract: Recent advances in large language models have significantly improved their ability to perform mathematical reasoning, extending from elementary problem solving to increasingly capable performance on research-level problems. However, reliably solving and verifying such problems remains challenging due to the inherent ambiguity of natural language reasoning. In this paper, we propose an automated framework that integrates natural language...
'Crystals' of space-time could be the origins of certain rare black holes, theoretical study hints
'Crystals' of space-time could be the origins of certain rare black holes, theoretical study hints By taking general relativity into higher dimensions, a trio of physicists has proven that a mathematical pattern of ripples in space-time geometry could give rise to naked singularities and microscopic black holes. A new theoretical study adds fresh support to the idea that a mathematical pattern of ripples in space-time geometry could give rise to naked singularities and microscopic black...
When AI Builds Itself: Our progress toward recursive self-improvement
For most of AI’s history, humans drove every step in its development cycle. But at Anthropic, we are delegating a growing share of AI development to AI systems themselves, which is speeding up our work. Taken far enough, and given enough compute, that trend points to an AI system capable of fully autonomously designing and developing its own successor.
Jump Trading turns to World Cup forecasting in search of new talent
Jump Trading turns to World Cup forecasting in search of new talent June 10 : Jump Trading has launched a global soccer forecasting competition, inviting participants to predict match outcomes of the 2026 FIFA World Cup, the trading firm said on Wednesday. Aimed at helping Jump identify talent it may not otherwise encounter, the event reflects growing efforts by trading firms to tap broader talent pools. Peer Jane Street has long used mathematical puzzles, datathons and games-based...
Scientists finally complete Schrödinger’s 100-year-old color theory
Scientists finally complete Schrödinger’s 100-year-old color theory - Date: - June 7, 2026 - Source: - Los Alamos National Laboratory - Summary: - Researchers have finally resolved a key problem in a 100-year-old theory of color, showing that the qualities we perceive in colors are intrinsic to the mathematics of color space itself. The discovery sharpens our understanding of human vision and could lead to more precise color technologies and visualizations. - Share: A century old idea from...
Mathematicians say 'don't believe hype' on AI capabilities
Mathematicians say 'don't believe hype' on AI capabilities Andrew Zinin Lead Editor Dozens of mathematicians signed a declaration Tuesday calling for the discipline to resist beating the drum for artificial intelligence developers. The "Leiden Declaration," backed by over 150 professors from across the world including Europe, Japan and the US, warned governments especially not to "believe the hype" about systems' math abilities. Their intervention follows claims of increasing capability from...