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Maybe_Memorie
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Just started my final year of undergrad in Trinity College Dublin, Ireland. In the end I'll have a BA (Hons) in Mathematics, however I've taken a lot of physics classes. I want to go on to do a PhD in theoretical physics, most likely in string theory, in mainland Europe, probably Germany or Sweden.
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 -
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.
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 -
Linear Algebra - Gelfand
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)
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)
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.