That's much of the math behind AI, but there's much more to building real things with it. It's a cross-disciplinary field touching:

- Math, as you say

- Software engineering, especially data engineering

- Design - since the the math and engineering enable new kinds of problems to be solved by computers, there's a lot of unexplored design territory

- The domains of all the input and output modalities it touches, like linguistics, computer vision, etc.

- Increasingly, ethics

Sure, each of these topics are already covered by existing university departments, but the boundaries between departments are arbitrary and often limiting anyway. Why not establish a new locus that brings much of the above under one physical and administrative roof?