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My first issue is that so many of the university websites have broken links in English and its very difficult to find any solid info. There's also the fact that many don't seem to have any actual doctorate programs.

The next issue is that they seem to require a Masters degree first. While this is understandable, my undergrad course seems to have included every course the Masters programs contain. I have taken these classes (as well as other, less relevant ones) at the corresponding levels (i.e. the classes were based on these books)

Classical Mechanics - Landau, V.I Arnold

Electromagnetism - Jackson

Quantum Mechanics - Sakurai, Merzbacher

Statistical Physics - Huang

Complex Analysis - Palka

(Other classes included for completeness sake -

Calculus - Thomas

Real Analysis - Spivak

Calculus on Manifolds - Spivak

Mechanics - Kleppner Kolenkow

Group Theory - Durbin

Rings, Fields, Modules - Durbin

Metric, Normed, Topological Spaces - Sutherland

Algebraic Geometry - Reid

ODEs - Brauer, Nohel

Lebesgue Integral - Bartle

Number Theory - No book, pretty standard treatment

Abstract Algebra - No book, covered Galois Theory)

This year I am taking:

Quantum Field Theory - Peskin & Schroeder, Schweber

Differential Geometry - Dubrovin, Fomenko, Novikov

General Relativity - Not sure what book yet

Algebraic Topology - Not really based on any book, but Fulton has a lot of the stuff in it.

PDEs - Strauss

Functional Analysis - Conway

I'm also doing a project worth 10 ECTS on scalar products relating to the algebraic Bethe ansatz in quantum spin chains.

All the Masters programs I've seen would essentially have me repeating all of this.

Are there any PhD programs in string theory I could get access to with the background I have?

Thanks.