The seminar takes place online via Zoom. The Zoom links and announcements are sent out through our mailing list. You can find the link for the mailing list here: https://www.uni-muenster.de/MathematicsMuenster/ai-math/ Abstract: Mathematics is entering a period of remarkable promise and significant unease. AI systems are beginning to contribute to mathematical discovery, research-level reasoning, and formal verification, while also raising serious questions about reliability, attribution, access, education, and the future role of mathematicians. This talk surveys these developments through recent examples, including AI-guided search, advances in longstanding problems, and Lean formalization. The central theme is that AI is most powerful when it complements rather than replaces mathematical judgment: broadening discovery, accelerating exploration, and strengthening trust through machine-checkable proof.