international student seeking advice

Hi everyone, I'm an international student from India who was just accepted to Yale University as an applied Math major (I might major jointly in applied Math, computer science and econ) . I was thinking of going into IB or maybe even quantitative finance after graduating from college and wanted some information from the more experienced people on this sub.

1- I wanted to know the job prospects from my university. I'm still waiting to hear from Princeton (my other top choice), so it would be great if somebody could compare the prospects. I have even applied to several other places like Stanford, MIT and Harvard(ew!), so it would be great if somebody can tell me more

2- As an international student, I would need sponsorship to continue my job after my OPT expires. I just wanted to know how likely it is for a top finance company to hire an international student.

Also, it would be great if somebody could provide some links with some additional info that I must know about the process. I was hoping to gain a headstart in the process. Thanks in advance for all your help!

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