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Pendulum Swing

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I am an Australian student, may think about studying in America (saw video of Andrew Dottson mentioning it), in the future. Is it possible to take grad maths courses, e.g. algebraic topology/geometry, complex analysis, representation-theory/lie-groups, PDEs, Measure Theory, Functional Analysis, algebra courses, more geometry/topology courses, ..., etc

Thanks,

Pendulum Swing