The department maintains lists of previous Undergrad Research Projects going back to 2008, including Independent Study projects and Honors Theses. Peruse some of those titles to get a feel for the type of research work available. There is also a (partial) list of Undergrad Research Opportunities with faculty who are actively searching for undergraduate research assistants. However, not all researchers choose to post positions online, so if you are interested in working with a particular faculty member, you should feel free to contact that person directly.
In addition to research positions, the department sometimes uses undergraduates in academic support jobs, as graders, teaching assistants, or lecture support. Check our list of Undergrad Assistantships for open positions.