You can't filter on Resolved by in the report settings, however, you can add your technicians to groups and choose With Tasks for Groups (left side of the report writer under Incidents). Once you select that, an editor will show, and you can select "Editable at Runtime" to filter by group. You can do the same with Queues by selecting Assigned Queue from the left.
You can also group the results by clicking Options towards the top left side of the report writer and selecting the column to group by.