My boss is leaving on vacation mid December and will be gone for 2 weeks. How do I go about asking for remote work during that time?

My work is highly analytical and independent. I attend no meetings and she's the only one to whom I report. We also do most of our exchanges via email. So I really see no reason to be in the office when she's not there – and eventually I want to transition so I don't have to be in the office at all. I think that if I do good work while she's away it might help with that. How should I approach this over the next month?