Been using Asana for the last few years now between web and iOS. Would love to see the Asana mobile app be upgraded to make better use of an iPad in landscape mode.
The iPads have so much more screen real estate than the phones and could have better utilization of space. My main suggestion would be when the iPad is in landscape, to make the tasks open in split screen like on the web. Task list on left and then details on right once you click on a specific task.
I use Asana on a 9.7" and 12.9" iPad, both have more than enough width in landscape mode to support this. This would also lead to greater UI continuity between the web version and the mobile app.
Going further, you could have the projects pop out on a tray on the left side of the screen.
Keep up the good work, folks.