/sci/ - Science & Math

>>11626535
>what broad area of modern maths does this fall under
>implying maths is neatly divided into several subjects
>what related subjects should I study?
Stein spaces (as mentioned before, non-compact Riemann surfaces are Stein manifolds), Riemannian geometry, Kahler geometry, Teichmuller theory, commutative algebra, algebraic curves, complex geometry, more complex analysis in one variable (read the full Conway course), elliptic pdes (remember the result about how solutions to Cauchy-Schwarz are full on analytic functions? It generalizes) and J-holomorphic curves come to mind in particular.
But I'm more of a symplectictard than anything else, I'm mostly recommending you stuff because you're going out of your way to be unlikeable and I find it endearing.