How should I style my German doctoral title in English documents?
Don't overthink it. Both &quot;Dr.&quot; and &quot;Dr.rer.nat.&quot; would be OK, &quot;PhD&quot; would be inaccurate. The key information is the line in your CV where you point out that you have completed your doctoral degree.
(As relevant context: I am a native German speaker and have experiences in Germany both as a selection committee member and as a successful applicant.)