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I've talked to two of my university professors to join their classes and they've agreed. I got these choices to join:

1- Finite groups theory

2- Functional algebra

3- Manifold I

4- Algebraic varieties and Riemannian manifolds

5- Real Analysis I

6- Banach algebra

7- Operator theory

I'm thinking of joining two of these classes as a guest student but I'm a bit confused. I personally like algebra and geometry very much, but I don't know which one of these courses I could join. Your suggestions will be highly appreciated.