The best way to share a notebook with someone privately is to download the notebook, send it to your teammate, and then have them upload it to Research in their own account. When you are in the Research environment, you should open the notebook and then click Notebook --> Download as --> Notebook (.ipynb). Your teammate can then upload the notebook by going to their list of notebooks and clicking the upload button, which looks like a little cloud with an up arrow, immediately to the left of the blue '+' button.
We don't currently support real-time code collaboration/pair programming in the Research environment, but we do support it in the IDE. After your research, once you get to the point where you are writing an algorithm in the IDE, you and your teammate can work on coding the same algorithm, real-time. You can learn more about the IDE collaboration feature in this section of the documentation.
I hope this helps!
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