<p>Yes, there are many areas in Math for research that is not “analysis/real analysis-based”…BUT…there is just about NO chance you will avoid Analysis. Even the B.A.-version of Math degrees may give you an option to take Abstract Algebra and maybe an option of 2nd-semester Analysis but YOU HAVE to take at least one semester of Analysis. Even many graduate Applied Math program will make you take minimum one semester of graduate analysis.</p>
<p>My B.S. degree is in Computational Mathematics (a hybrid Math/CS degree) and I still had to take Advanced Calculus (which was my school’s “lighter-version of Real Analysis”).</p>
<p>Cannot escape it.</p>