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I'm desperately trying to develop a list of prerequisites that will enable me to work on topics like quantum gravity, advanced QFT (on curved spacetime etc.) etc. I am currently in the second year of an undergrad theoretical physics degree in the UK, and am heavily unsatisfied with the way the programme is organised, especially for prospective theorists.

As of this moment, I know these topics (more or less),

1. Special Relativity at the level of

*Spacetime Physics - Taylor, Wheeler*

2. Classical Mechanics (including waves & vibrations) at the level of

*Physics - Resnick, Halliday, Krane*

3. Mathematics (Linear Algebra, ODEs & PDEs, Single & multi variable calculus, Fourier analysis)

4. Quantum Mechanics at a

**slightly**higher level than

*Intro to Quantum Mechanics - Griffiths*

5. Electromagnetism at a

**slightly**higher level than

*Electricity & Magnetism - EM Purcell*

6. Other extras such as

*Atomic & Nuclear Physics, thermodynamics & statistical mechanics, e*

*lementary astrophysics, optics, solid state physics*

I require a list of topics (in

**mathematics and physics)**I need to know that will get me ready to start a PhD in particle theory. Comments on the level of study required in each topic (

*e.g. at the level of this textbook)*would also be helpful.

Thanks!