Next October I start a year long course in Cambridge, intended as preparation for a PhD.
I chose mainly pure disciplines as an undergrad (particularly topology and analysis) but I'd really like to pursue a PhD in one of the current areas of research towards a GUT. I don't know that much about anything besides String Theory, but input from those with knowledge in other areas would be fabulous!
I'm trying to decide which courses to take, but I don't know whether to stick with pure, or switch to applied. Undoubtedly there will be things I need to pick up while pursuing a PhD. But is one or other option preferable? Or does it really not matter? Should I do a mixture of both?
Here are some broad course areas that I reckon might be relevant, just as a reference.
Pure: Algebraic Geometry, Commutative Algebra, Algebraic Topology, Differential Geometry, Kähler Manifolds, Functional Analysis
Applied: Quantum Field Theory, Supersymmetry, Standard Model, String Theory, General Relativity
Any advice or general comments would be greatly appreciated. Many thanks!
Edit: I've attempted to make this much more general. I'm basically looking for any advice from people who've been through a similar situation!