I'm not seeking personal advice but a field (to do a Phd in) in which you work with the following:
(1) Probability Theory in general and specifically stochastic processes (2) Measure Theory (3) Functional Analysis (4) Numerics (5) Topology (6) No physics (7) No PDE theory
So I heard that in Mathematical Statistics you can use many of the fields ((1)-(6)) above. Could anybody working in Mathematical Statistics maybe say a few words about this field? How about Financial Math or Mathematical Biology. Do you know any fields which combine the above ?
Thanks a lot !