Preparing for quant research interviews

Does anybody have suggestions for what to study for/how to get quant interviews at hedge funds (and prop shops)? Starting 4th year at Imperial College London after summer.
Relevant coursework beyond the basics: statistical inference, generalised linear model, stochastic processes, time series, computational statistics. Maybe useful: measure based probability, mathematical finance (Shreve Vols I, II).
I did research in stat-ML last summer, and am researching in a similar field this summer too. Background here covers the Elements of Statistical Learning and Pattern Recognition and Machine Learning books.
What else should I work on? And does anybody know if US offices are interested in recruiting from UK?

 

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