Quantitative Researcher to Investment Banker...is it possible?

Apologies in advance if I sound like a braggart or come off as annoying. I'm currently a sophomore Electrical Engineering major and I have a 3.1 GPA at a non-target state school. I've taken Calc 1 through 3, ODEs, and linear algebra. I'm currently self-learning PDEs and stochastic modeling. I have a strong background in time-series analysis, as my research in the Department of Electrical Engineering deals with signal processing (clustering of brain-network time-series) and deep learning (training/validation of CNNs for classification of labeled time-series). I get co-authored by a conference this fall if my team's proposed algorithm performs well with further testing. In addition I plan to pursue research in statistical thermodynamics through the Department of Physics, due to my interest in physical random processes and to see if mathematical descriptions of random physical phenomena can be used to analyze financial random processes. I'm very research oriented, and I have a strong interest in finance, so as a result I'd like to create/research/use mathematical and statistical methods that have financial implications. But investment banking, despite the stress and working hours, is where I want to end up, although my strengths lie more in the research/mathematical side of finance. I'm highly unsure of what to do after my undergrad, as until now I've been thinking Masters/PhD in some technical field at an esteemed STEM school......or I could go straight to business school. But then all my technical expertise would go waste. Any thoughts/advice/comments would be appreciated. Thank you.

 
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