I am a Colombian citizen who married a German citizen almost three years ago. We married in Germany. At the moment, we are not together anymore, but we are still legally married and I would like to live in Germany. Is there a way I can apply for a resident permit?
As a spouse of a German citizen then you are entitled to apply for a family reunion visa in order to join your spouse in Germany.
Although not explicitly stated that you must still be together, it is more than likely expected that you would live with your spouse and that you are still a couple in order to obtain such a visa. And as such then you cannot apply for this visa without their full backing. This is also because you would need their help in order to submit all the documents you require, which includes:
- Their passport
- Meldebescheinigung (official proof of residence)
- Proof of housing (which would be expected to be the residence of the spouse)
- Invitation letter from the spouse
- German Health insurance
You are also expected to be able to prove basic German skills (level A1), and if required prove this via a Goethe issued certificate.
Even if you do obtain this visa, this will get you into the country but you must then apply for a residence permit within 90 days. For which both partners will be interviewed, and similar or the same of documents would be required to be submitted again.
See this, for an example from Berlin: https://service.berlin.de/dienstleistung/328191/en/
And of course submitting false information as part of your application process could lead to removal from Germany and/or denial of a future visa for Germany.
Therefore, it would be better if you were able to obtain a visa on your own standing. This would require a job offer from a German company, an offer of a university place etc.