• The reports he is owner of (created them)
• The reports that are shared with him in any way
• The reports that are public

You have various filters and grouping options available to search for reports.

Anyone with sufficient permissions/licenses can create and run a report. As long as the report is not shared, it will not show up on the list of reports for any user.

All reports can have multiple tags, that can be associated and a title as well as a detailed description. Like everywhere where a lot of items can show up, it is a good idea to negotiate on some basic naming conditions and behavior like.

• Don't share a report, if it is not useful for others, or share it in the smallest possible context e.g. with your team
• Come up with some basic tags that should be used for reports that are important for groups of people

A user with the repository role JazzAdmin can make users report admins, including himself. Report Admins can see all reports, including privately owned reports by other users. These report admins can delete all reports they see.

Otherwise the owner of a report is able to delete his reports, as far as I know.