What Physics and Math Should You Study for M-Theory and the Multiverse?

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dmehling
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I have a rudimentary background in physics and would like to do self-study for my own intellectual curiosity. If I wanted to try to get a grasp of something like M-Theory or inflationary cosmology, what physics subjects would I need to study first? Also what kinds of mathematics would I need to study? I am most interested in the topic of the multiverse, and the related issue of what mathematical models can tell us about the universe(s).
 
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