Functional Analysis or group representations?

AI Thread Summary
Choosing the right modules for a third-year physics program focused on research in General Relativity, quantum mechanics, or string theory is crucial. The discussion centers around two options: Group Representations combined with either Practical Numerical Simulations, Algorithmic Entropy, or Number Theory, versus Functional Analysis 1 and 2. There is a consensus that while Functional Analysis offers immediate benefits and is essential for understanding quantum gravity and string theory, Group Representation Theory will be increasingly relevant in advanced studies. Given the timetable clash, it's advised to prioritize Functional Analysis for its foundational importance, while also committing to self-study Group Representations to enhance future research opportunities.
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I have to choose a total of 12 modules for my 3rd year. I've everything decided except four of them. I want to eventually do research either General Relativity, quantum mechanics, string theory, something like that.

I'm torn between
Group Representations, with one of Practical numerical simulations or Algorithmic Entropy or Number Theory

and

Functional Analysis 1 and 2.


Which would be more beneficial? I'd rather do groups but I'm not too keen on the other modules that would go with that.
 
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Bump.

The timetable has been changed and these modules clash, so which would be more useful for the areas I'm interested?
 
You need a ton of mathematics if you want to do work on string theory and quantum gravity. Both of those modules are essential. Whichever you take, be sure to study the other on your own.

That said, the one which will give you the most instant payoff is probably functional analysis. Group representation theory will become more important in advanced courses.
 
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