Is there any area of mathematics that you enjoyed more than others-topology, differential equations, algebras, differential geometry, graph theory, analysis (including complex analysis), applied mathematics, and so forth? On a personal level, partial differential equations, group theory, and some differential geometry (I'm still beating my head over lie groups on differentiable manifolds) are my favorites. Their immensely helpful in cutting down calculation time in research.

Kudos to you. I don't think I could ever do pure math. That takes an entirely different mindset altogether.