https://ai-mathematician.net/en/Recent content on AIM BlogHugoenMon, 22 Jun 2026 00:00:00 +0000https://ai-mathematician.net/en/posts/sign-embedding-quantum-algorithms/Mon, 22 Jun 2026 00:00:00 +0000https://ai-mathematician.net/en/posts/sign-embedding-quantum-algorithms/Human-AI collaboration advances quantum algorithm research and proposes Sign-Embedding Quantum Algorithms.https://ai-mathematician.net/en/posts/pessimistic-verification/Sun, 17 May 2026 00:00:00 +0000https://ai-mathematician.net/en/posts/pessimistic-verification/We present Pessimistic Verification, a simple and efficient way to improve LLM-based verification for open-ended mathematical proofs.https://ai-mathematician.net/en/posts/homogenization.theory/Fri, 07 Nov 2025 00:00:00 +0000https://ai-mathematician.net/en/posts/homogenization.theory/A human–AI collaboration successfully completed a 17-page mathematical proof in homogenization theory.https://ai-mathematician.net/en/posts/aim/Thu, 05 Jun 2025 00:00:00 +0000https://ai-mathematician.net/en/posts/aim/We present AIM, a multi-agent framework powered by large language models, advancing from "solving problems" to "conducting research".https://arxiv.org/abs/2505.22451Wed, 28 May 2025 00:00:00 +0000https://arxiv.org/abs/2505.22451PublicationsIntroduces AIM, a large-reasoning-model agent framework for frontier mathematical research, combining longer exploration trajectories with verification-oriented mechanisms for research-level proof tasks.https://arxiv.org/abs/2606.24899Fri, 12 Jun 2026 00:00:00 +0000https://arxiv.org/abs/2606.24899PublicationsPresents a human-AI co-discovery case study in which AIM-supported exploration, theorem formation, derivation, and audit workflows contributed to sign-embedding quantum algorithms for matrix equations and matrix functions.https://arxiv.org/abs/2511.21522Wed, 26 Nov 2025 00:00:00 +0000https://arxiv.org/abs/2511.21522PublicationsStudies pessimistic verification workflows for open-ended mathematical proofs, where a proof is rejected when any verifier finds a critical error.https://arxiv.org/abs/2510.26380Thu, 30 Oct 2025 00:00:00 +0000https://arxiv.org/abs/2510.26380PublicationsPresents a homogenization-theory case study showing how AIM-assisted reasoning and targeted human intervention can support the development of a complete mathematical proof.https://arxiv.org/abs/2508.18914Tue, 26 Aug 2025 00:00:00 +0000https://arxiv.org/abs/2508.18914PublicationsProposes FormaRL, a reinforcement-learning framework for autoformalization that uses unlabeled data, Lean syntax checks, and LLM consistency checks to improve formalization accuracy.https://arxiv.org/abs/2604.25333https://arxiv.org/abs/2604.25333DiscoveriesThis work explores quantum algorithms for difficult matrix computations that appear in scientific computing and applied mathematics. Its main contribution is a reusable framework that may help quantum computers solve several families of matrix problems more systematically.https://arxiv.org/abs/2510.26380https://arxiv.org/abs/2510.26380DiscoveriesThis case study shows how AIM can support mathematicians on a long and technical proof. AIM helps propose reasoning steps and organize the search, while human researchers guide, check, and refine the proof to maintain mathematical rigor.