Michael,
Thanks for the tips, but it still doesn't seem to be working correctly. I used the query you suggested, with some slight adjustments and am not getting the results I'm looking for. Here is my edited query:
((((Project.Name = "My Team Name Here") OR (Owner.UserName = "myname@company.com")) AND (State < "Closed")) AND (Resolution != "Deferred to Future Release"))
The issue seems to be arising from the OR condition. Rally isn't accepting OR as a valid option. I created a dummy defect of which I am the owner, but with a Project Name that is another team. The grid app is displaying defects assigned to my team, but will not display the dummy defect I created.