Hi @SDavis6,
These sound like notifications for incoming emails sent to a connected email inbox.
Individual users can disable these notifications by clicking on the bell icon…
… and then the settings cog on the right:
Type “unassigned” into the search field and unselect the two checkboxes:
Account admins can also make this change for all users. Navigate to Settings > Account Defaults > User Defaults > Notifications > Manage account defaults. You’ll find the same options here as shown above. A HubSpot employee also recorded a tutorial here.
Let me know if you have any follow-up questions!