I am always looking for outstanding and highly motivated undergraduates to add to the team in the future. I expect a lot of my students - both in terms of skills and academic background required for the various projects, and in terms of time commitment to the project. In return I will do my best to make this experience an intensely rewarding one that will further your career goals and boost your graduate school prospects.
My philosophy in mentoring undergraduate research is to provide an honors version of an undergraduate research experience, one that - much like an honors class - involves more direct professor/student interaction, and that goes beyond the mere supervision of the research by providing individualized career support, help with graduate school and REU/internship applications, and support for conference opportunities. See my Undergraduate Research FAQ for more about what I expect of my students, and what you can expect to get out of the research experience.
Current and former members of my group have enjoyed success at multiple levels. They have given over one hundred presentations at local, regional, and national conferences during the past eight years, and have won several "best presentation" awards. They have been featured in departmental and university publications, they have won prestigious departmental awards and scholarships, and have been accepted to competitive summer research programs and leading graduate schools.
I typically run three or four projects each semester, some under the framework of the Illinois Geometry Lab, others as independent Math 492 or Math 390 projects, and some as informal, no credit, projects; see the Projects page for general descriptions and prerequisites. If you are interested, I'd be happy to discuss this with you; contact me at email@example.com, and send me your cv/resume and (unofficial) transcript. (Note: These positions are restricted to undergraduate students at the University of Illinois.)