It seems at the moment that I am being pulled in several academic directions at once. In no particular order, I am acquainting myself with the topological approach to symmetry methods, recapping a bit of lost knowledge of ordinary differential equations and working on the initial value problems that I spoke about before the holiday. Each requires the same amount of attention (perhaps the latter deserves more, actually, given that it is the original work, although it is helped along by better knowledge of the other two areas) and so I am occasionally left wondering quite where I should start.
In the end, I think it comes down to reading the two books associated with topology and differential equations in my home time, confirming my suspicions that I mentioned yesterday that I'm slowly becoming a "mathematician" (although I think my supervisor would have something to say about that).
On a different note, this diary has now being registered at PhDweblogs.net and is one of six in the United Kingdom and one of three that has maths as it's main subject, the other two being Angela's math and Juan De Mairena (which is in Spanish).