What Are Some Feasible Summer Research Topics in Physics?

[YangMills]

I have recently become aware of a summer physics fellowship offered to undergraduates at the University of Toronto, in which students may propose a topic and receive money to research it. Unfortunately, while there are numerous interesting projects I can think of, I am not sure if they would be acceptable. Specifically, I am looking for something which is highly fascinating, but would likely get me the fellowship. We are constrained to projects which may be completed in six weeks.

In essence, then, I am looking for some interesting, feasible research topics for the summer.

I am in first year, but this is an irrelevant concern with regard to the complexity the topic.
While my mark in physics was not outstanding (80%, mostly due to missed assignments/procedure disputers), I nonetheless have a thorough grasp of the conceptual
and mathematical aspects of modern physical knowledge. As an example, I am quite comfortable working with the Dirac/Schrödinger/Heisenberg/Path Integral formalisms of Quantum Mechanics, and am adept with differential geometry and General Relativity.

Finally, (though this is not final) I may be able to procure a research position with a professor at the University, whose research focuses on Dark Matter and General Relativity. Is there any way to combine the two?

Here is a link to the fellowship page:
http://www.physics.utoronto.ca/students/undergraduate-program/surf

 

[Vanadium 50]

Did you catch this sentence? "Projects are generally team work on upper level lab development, supervised by Physics faculty members."

 

[Choppy]

Usually the way these things work is that you approach a professor, tell him or her that you want to apply for said funding and ask if they have any projects that might fit in. Six weeks is not a lot of time to accomplish something, so it's best to work on something fairly straight forward. If you have your own idea, that's great. Most first-year undergrad students won't.