You can install the mainline kernel from the ppa
Or you can compile it yourself
The problem you are going to have with those options is twofold
Neither the mainline kernel or compiling a newer kernel are going to have the standard set of patches Ubuntu applies, most notable is Apparmor.
Any packages that depend on the kernel, Virtualbox, nvidia, wireless, etc, might not work.
You would need to debug those things yourself or wait for the Kernel team to release an updated kernel. Support for the mainline kernel or custom kernel is limited, more so for third party packages such as virtualbox , nvidia drivers, etc.
I am not trying to either encourage or discourage you, just pointing you in the right direction. I have been using a custom kernel on gentoo for almost 2 years now, but doing so requires a moderate amount of effort on my part.
From the kernel team FAQ
The mainline kernels builds are produced for debugging purposes and therefore come with no support. Use them at your own risk.
Your other option is to build a custom kernel. This is also poorly supported and requires some advanced knowledge
Building and using a custom kernel will make it very difficult to get support for your system.
While it is a learning experience to compile your own kernel, you will not be allowed to file bugs on the custom-built kernel (if you do, they will be Rejected without further explanation).
Your best option may be to install 12.04. Be warned it is in beta at the moment, you might want to wait for the release.
- You may be better off filing a bug report
How do I report a bug?