Feasibility for applied math
Feel like I'm in a weird spot and would love some honest takes.
I did my undergrad in CS at a top 5 Engineering schools in india, math background is decent but not a math degree covered Linear Algebra, Complex Analysis, PDEs, Multivariable Calc, Probability & Stats, Differential Equations, fuzzy logic, vector analysis and
No Op research or Real Analysis on transcript which I know is the obvious gap.
Research-wise I have 2 paper out in IEEE Transactions on Vehicular Technology which covers algorithm optimisation, consensus and graphs. Other one covers optimisation, inverse solving, using NNs with higher order Differential Eqs.
Currently SWE II at a FAANG working on LLM evaluation and data infrastructure.
I'm genuinely interested in scientific ML and inverse problems for PDEs, not just doing an MS for the credential. Is this competitive for applied math programs or am I kidding myself given the CS background and no rigorous proof courses done.