TITLE: Algebra Vs Analysis
QUESTION [25 upvotes]: I've come to like linear algebra far more than analysis and was wondering how much analysis one would be required to learn in order to pursue a career in research in an algebraic field.  For example, at the graduate level, if I were interested in focusing on algebraic topology or algebraic geometry then would learning the contents of analysis 2, real analysis, and differential equations be enough before one exclusively focuses on algebra core subjects?  Is it common for mathematicians of one field to be very weak in other fields?  Like somebody who does exceptional research in algebraic geometry who would struggle with solving problems in a complex analysis text?
Thanks in advance!

REPLY [4 votes]: The other answers have made all the important general points, IMO, so I will add a couple of things from my own experience.
Like you, my tastes favor the algebraic end of the spectrum, plus (geometric and algebraic) topology; I never much cared for real analysis.
When I encountered complex analysis, it was a revelation: this stuff is beautiful. Totally different feel from real analysis.
Functional analysis is a blend of linear algebra and analysis, and while I don't rank it quite as high in my own personal mathematical beauty contest, I would be sorry to have missed out on it.
The moral has already been stated by Argerami: "Basically you are deciding that you don't like/don't care about/don't need topics you know nothing about."
Finally, since you like linear algebra, take a look at Hoffman & Kunze sec. 6.4 for a nice application of it to the theory of ordinary differential equations.