There are 2 apps you can use for this:
1) Clarizen Anywhere Outlook Add-in http://www.clarizen.com/appsmarketplace/item/Clarizen-Anywhere-Outlook-Add-in.html
This app allows you to view and modify your tasks, report time and also create new tasks from Outlook.
2) Resource Notifications http://www.clarizen.com/appsmarketplace/item/Resource-Notifications.html
This app will send you an email when you are assigned or removed from active tasks. Please note that it also includes a rule to notify your direct manager when you are assigned a task so if you do not want that functionality you just need to delete or disable that workflow rule