GSoC-2015: StarterWare Ideas

I am a final year student in Electronics and Instrumentation Engineering. I would like to develop some Arduino-compatible library functions for beagleboard.
I have good knowledge on Arduino and embedded programming.
Can someone suggest me where to start of with and also help me with some Ideas for GSoC 2015?

You could get started by trying out starterware on a beaglebone black.
Also, are you familiar with how Arduino compilation works ? This might help you understand what needs to be done for this particular project idea.

If you have any special interests, you could propose an idea around that (you may have to search for mentors after that though).