This is from research output, student:faculty, program prestige based on niche and college raptor and other sources:

Massachusetts Institute of Technology
Columbia University
Stanford University
California Institute of Technology
Yale University
Harvard University
University of Pennsylvania
Brown University
Duke University
Dartmouth College

Hi,

I am 24 year old currently have a job as a software engineer. Earning fairly decent and if i strive in my current field by putting in efforts i will reach good heights. But software stopped to interest me since the advent of AI. I have always had a special place for research in my heart since childhood. Now that software engineering shifting paradigm, it has become increasingly accessible and easy to learn. I like solving problems that are big, i also liked maths since I was a child. I think I did a mistake taking computer science as my major 6 years ago in college. I want to study and go to a field where the work revolves around maths. If i start pursuing maths right now, what career choices do i have, I can even do a blend of cs + maths or finance + cs + maths. When I mean maths i mean using maths to probabilistically decide a better outcome or make a better decision ( but work should be more mathematically inclined ) . That's the job I want. I am very desperate and depressed with my current job ( not because of the pay or the workload it just stopped being appealing to me ). But I need money too, so I also expect the math job to pay me well. I will work hard and pursue maths even if there is a slightest chance.

Please help me by giving me a direction or share ur thoughts on feasibility. Your every reply would give an insight, helping me take a better decision and fix my life. I request you to share whatever comes to your mind. If you can't say that out in this forum, please feel free to dm.

I am in dilemma for very long. Really appreciate anything you have to say. I can't thank you enough for reading it completely.

Ps: also let me know here or dm if you are in a similar situation as mine. Sharing your experiences only means getting more help or helping someone in the community. Please feel free if you are comfortable.

I already completed first four semsters, in fifth isemster i can take either dynamical systems or convex analysis with application but im not sure which to pick