I am just finishing my second semester in Abstract Algebra, we covered most of Dummit Foote, and I found part v the intro to Algebraic Geometry interesting so was looking up "roadmaps" to research readiness and found this rather intimidating - Path to Basics in Algebraic Geometry from HS Algebra and Calculus? . I am not the fastest student and this would take me forever to get through. I just looked at Hartshorne and I feel like I'm some way of being able to start working through it. So I was wondering, mainly for perspective , if one were to construct such paths for some other major research areas which would maybe atleast look the least daunting? I hope this question is slightly less subjective than simply asking which is the toughest field though I would be interested on opinions on this as well.
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1Is your question "Which area of research-level Mathematics is the easiest?" or "Which requires the least background knowledge?"...? Also, is this with a view to pursuing research-level mathematics: if so, you'll find that most Grad schools require a breadth of knowledge (at entry) far wider than the single field you'll eventually specialise in. – Mathmo Apr 20 '14 at 08:53