Maths for Postgraduate String Theory: Analysis, Algebra, or Topology?

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String theory is a complex and intriguing area of study that intersects physics and mathematics, particularly appealing to those majoring in these fields. For students looking to specialize in mathematics to support their understanding of string theory, several areas are highlighted as beneficial. Analysis and algebra are foundational, but topology, especially differential and algebraic topology, is emphasized for its relevance to string theory concepts. Additionally, pursuing an official qualification in "mathematical physics" or "theoretical physics" can enhance one's credentials, with a focus on the mathematical aspects being particularly advantageous. Understanding Calabi-Yau spaces is also noted as a significant topic within this context.
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I admit I don't know anything about string theory (nobody really does at an undergraduate level) but it sounds interesting and seems like something challenging. I am majoring in physics and maths but I am getting to the point in my undergraduate studies where I can begin to specialize more in my maths subjects. So my question is, what area of maths is the most beneficial to peruse this, analysis, algebra or something else? I hear topology is fairly important but that begs the same question, differential or algebraic?

On a related note, would I be better to have an official qualification in "mathematical physics" or "theoretical physic"?

Thanks
 
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