In this talk, intended for a broad audience, I will use concrete examples from combinatorial group theory and low-dimensional topology to illustrate how rapid growth of AI algorithms can change the way we do mathematical research and help us with some of the most difficult mathematical challenges. No prior familiarity with machine learning is required; rather, one of the goals of this talk is to provide a gentle introduction to some of the modern tools in this subject, in part explaining its increasing role in everyday life and in pure mathematics as well.