In a nutshell, yes. The US is one of the on

In a nutshell, yes. The US is one of the only countries in the world which taxes on citizenship, not residency… As such, even after you are no longer residing there, you will still be taxed on your worldwide income.
 
As long as your income is above the minimum threshold (starting at $11,200 for those single and over 65), you will be required to file a tax return. Now, just because you have to file a return does not mean you will actually owe taxes. In fact, the majority of people owe nothing at all to the IRS (thanks to some big exclusions and credits which are available for expats). In these cases, it is really just an informational return that you send off every year.
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