Path to Quantitative Trader at Hedge Fund

I am currently a high school junior, and I know this is an extremely competitive field, but I want to be a quantitative trader at a firm like Renaissance Technologies, Two Sigma, Citadel, DE Shaw, etc. 

1. An article titled "Getting a Job in a Top Tier Quant Hedge Fund" on QuantStart mentioned that it's better to get a PhD in a pure research field like Maths/Physics/CS/Engineering instead of getting a MFE, but other sites such as Mergers and Inquisitions have said the exact opposite, claiming that it's better to:

  • Complete a “mixed” technical degree, such as something that combines elements of math, stats, and computer science. A pure math or physics degree will be much more difficult and won’t necessarily provide a big benefit.

What is the community consensus on this? (sorry I am new here, and cannot post any links)

2. For undergrad, should I be applying to a pure maths course or a maths with finance/statistics course? For example Imperial College London has these undergraduate courses for maths:

  • BSc Mathematics with Statistics for Finance
  • BSc Mathematics with Statistics
  • BSc Mathematics with Applied Mathematics/Mathematical Physics
  • BSc Mathematics with Mathematical Computation
  • BSc Mathematics
  • BSc Mathematics (Pure Mathematics)
  • BEng Mathematics and Computer Science  

Could anyone advice me as to which courses I should be applying to?

3.  What are the various career paths to a quantitative hedge fund? I'm thinking of paths like investment banking, equity research, etc etc...

An article on 80000hours said that

  • To enter the industry, initially you’ll spend 4-8 years working as an analyst. The ideal path is usually said to be 2-3 years at a top investment bank, then 2-5 years working at a hedge fund as an analyst. In these stages, you’ll be paid typical investment banking salaries (perhaps $100-$300k). An alternative but slower route is to continue in investment banking until you’re known as the best analyst in your sector, then switch.

 but this is for a traditional non-quant hedge fund, so I was wondering how the career progression for a quant fund compares.

4. Lastly, if anyone knows any quantitative finance jobs (maths/stats/cs) that involve some degree of (preferably international) travel, please let me know!

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