It’s me Esmaeil. I am math student at Sorbonne University. My main area of research interest include non-commutative geometry. But generally, I am interested in geometry, analysis, topology and their interactions.
Each time I think of this vast area I remembered this quote:
Well, a Riemann surface is a certain kind of Hausdorff space. You know what a Hausdorff space is, don’t you? Its also compact, ok. I guess it is also a manifold. Surely you know what a manifold is. Now let me tell you one non-trivial theorem, the Riemann–Roch Theorem.— Gian-Carlo Rota’s recollection of Lefschetz lecturing in the 1940’s, quoted in A Beautiful Mind by Sylvia Nasar.