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I switched from the theory of Banach spaces, to fluid dynamics. I made the change after I got tenure. I am really glad that I waited until after tenure, because it had a huge negative impact on my career. I am glad I did it, because I love my new applied area. But I am also glad I waited until I had tenure and didn't have to worry so much about publish or perish.

My situation isn't quite the same as yours, so I don't really know how to advise you. But without a track record, and also without the connections that your Ph.D. adviser or other colleagues can provide, I think you are looking to go a hard way.

Continuing in your research area and waiting until you get tenure: is that an option? Also, you might be quite surprised at the extent to which your experience in pure mathematics will give you insights that are quite unique.

Post Made Community Wiki by Stephen Montgomery-Smith