I am a first-year student in a Top 20 Math PhD program in US without any internship experiences in finance industry. Besides maintain a good progress toward the PhD degree, I wonder what else I should do to increase the chance to enter a top-tier hedge fund (such as the two I mentioned in the title).
My own thoughts are:
To improve myself: I could take CFA, learn more about finance, algorithms, stochastic processes,etc.
To build my resume: I should have some internship experiences.
But I am not sure what I should do particularly and their priorities.
It would be greatly appreciated if you could answer my questions with specific suggestions.