Increasingly we are reading/hearing the phrase “in the wake of …”
If one is referring to the disturbed water behind a boat, then that’s fine.
For everything else, why not use the shorter, simpler “after”?
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If you like what you’ve read here, you can see reporting4work’s similar posts at Style Matters
reporting4work 
No objections whatsoever. Hope the series is of use. You may also find some value in another post on my site that’s outside this series (at https://reporting4work.com.au/2013/07/09/tips-for-improving-your-written-english). Cheers, Trina