Small Ideas
Working on projects was the major way to grow my skills during my undergrad.
I have found some project ideas during my PhD study that I think are interesting and can be done in a short time. I am happy to mentor you if you are interested in any of them.
Here is a writing sample (UIUC netid required) to take a look at what to expect from a mentorship program and the nature of study in our domain.
Here is another project proposal (UIUC netid required) I wrote for the ECE 508 course I TAed this semester.