Recent developments in mathematical AI are focusing on enhancing the capabilities of models to tackle unsolved mathematical problems and formal reasoning tasks. The introduction of benchmarks like HorizonMath allows for the assessment of AI's ability to contribute novel insights in mathematics, with early results indicating that models can propose solutions that improve upon existing knowledge. Concurrently, the Numina-Lean-Agent showcases a shift toward more flexible, general-purpose reasoning systems that can autonomously engage with complex mathematical tasks, demonstrating success in formalizing significant theorems. Additionally, projects like the semi-autonomous formalization of the Vlasov-Maxwell-Landau equilibrium illustrate the efficiency of AI-assisted research, where minimal human intervention yields substantial results. These advancements suggest that AI is not only enhancing mathematical discovery but also streamlining the formal verification process, potentially addressing commercial needs in fields requiring rigorous mathematical proofs and insights, such as finance, engineering, and data science.