I have PhD in Math…in the area (combinatorial/geometric group theory) not very strongly related to physics :)

Afterwards I've got a degree in finance and now I work as a quant in financial industry.

I got interested in physics recently and would like to learn more about it. My aim is to learn about quantum mechanics, general relativity and (wishfull thinking) smth about string theory

Assuming

1) decent knowledge of calculus, algebra, rusty differential geometry/topology, good level of probability including stochastic processes/stochastic calculus;

2) almost zero knowledge of physics :(

what should I start with??

I am thinking starting with Feynman lectures to get good introduction to the main concepts/ideas. And then dig into smth much more detailed/mathematical.

I've decided to read the following books (in chronological order): 1) Feynman's lectures, 2) Spacetime and Geometry: Introduction to General Relativity by Sean Carroll 3) Geometry, Topology and Physics (Graduate Student Series in Physics) by M. Nakahara

Does it look like a reasonable start??