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ODEs/PDEs

differential geometry

general relativity

a lot of linear algebra and calculus

complex and functional analysis

computational math/physics

astrophysics

quantum

dynamics and chaos

mathematical physics (algebraic methods)

first year mechanics/e&m/optics/etc

basically the only physics I would be missing out on is statistical mechanics and classical field theories. Would a physics professor accept me into some kind of heavily mathematical/theoretical astrophysics PhD program with me not having covered those two topics extensively? Thanks for any help, really appreciate it!