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TubbaBlubba

The areas I'm most interested in, and depending on career viability hope to focus on, are on the theoretical side - general mathematical physics, quantum field theory, general relativity, etc. Currently over the summer, I'm working my way through Spivak's massive 5-band textbook on differential geometry, and also reading Feynman's second Lectures volume (since I have a lot of EM Field Theory next year, I might as well be prepared). I'm considering a more indepth look at multilinear algebra, complex analysis, and partial differential equations, and I feel like developing solid abilities in pure mathematics are the most sound use of my extra time for the moment, since that will make it much easier to handle more difficult ventures into physics later on.

Suggestions, comments, experience? Is my approach reasonable? Should I alter my priorities?

Thanks in advance!

/Leonard