Kicked out of gnome-shell to tty

After being logged in to gnome-shell 3.20.2-0ubuntu1~xenial1 (and all previous versions in the 3.20 series) for a few minutes, I'm invariably kicked out of gnome-shell to a tty. This, it seems, is caused by some sort of conflict with (all) proprietary nvidia drivers.

The problem has already been reported and solved in Arch Linux. Please have a look at:

https://bugs.archlinux.org/task/48772

ProblemType: Bug
DistroRelease: Ubuntu 16.04
Package: gnome-shell 3.20.2-0ubuntu1~xenial1 [origin: LP-PPA-gnome3-team-gnome3-staging]
ProcVersionSignature: Ubuntu 4.4.0-22.40-generic 4.4.8
Uname: Linux 4.4.0-22-generic x86_64
NonfreeKernelModules: nvidia_uvm nvidia_drm nvidia_modeset nvidia
ApportVersion: 2.20.1-0ubuntu2
Architecture: amd64
CurrentDesktop: GNOME
Date: Mon May 23 10:16:29 2016
DisplayManager:

InstallationDate: Installed on 2015-04-17 (401 days ago)
InstallationMedia: Ubuntu-GNOME 15.04 "Vivid Vervet" - Beta amd64 (20150416)
SourcePackage: gnome-shell
UpgradeStatus: Upgraded to xenial on 2016-04-09 (43 days ago)