Summer 2012 REGS Program
The REGS program supports summer research projects for U.S. students through
- REGS0 fellowships for incoming students
- REGS1 fellowships for students at the end of the first, second or third year
- REGS2 fellowships for advanced students who have passed the prelim exam
All fellowships provide a stipend of $4,000.
The program in Summer 2012 will revolve around the group research efforts as well as individual projects. Additional possibilities may develop given sufficient student demand. In addition to the research projects, a mini-course open to all REGS fellows will be offered.
REGS0 fellows are expected to participate in group projects while REGS1 fellows may opt for either group or individual projects. REGS2 Fellows are expected to pursue thesis research.
To apply, select an application below:
Questions should be directed to Randy McCarthy (Director of Graduate Studies), Steve Bradlow, or John D’Angelo.
Group Research Areas
Applied Dynamics and Topology (Y. Baryshnikov and V. Zharnitsky). This program will include an associated mini course on applied configuration spaces.
Combinatorics (D. West). Large scale workshop on open problems concerning extremal, structural, and algorithmic combinatorics and graph theory.
Cluster algebras and integrable systems (M. Bergvelt and R. Kedem). Students will work on problems involving the combinatorial construction of cluster algebras and compatible integrable systems. No prior knowledge of cluster algebras or integrable systems is required. Some problems will be suitable for beginning students.
Geometric Visualization in Virtual Environments (G. Francis). Visualization of mathematical phenomena is a maturing field of geometical computer graphics and few universities have as long a tradition and as broad a base of application as Illinois. Students with strong interests and some experience in mathematical graphics participate in research programs of an associated mentor. The program provides the facilities (and any necessary training in their use) for the student to assist their mentor in creating visual materials illustrating research in a variety of media, including the production of custom software, webpages, animations and print quality images. More details can be found here.
Mini-Course
Geometric Structures on Surfaces (J. Athreya and C. Leininger).
The subject matter of the mini-course will be self-contained but will serve as useful preparation for the GEAR Junior Retreat and GEAR Retreat to be held on campus at the end of the summer.
NSF-MCTP — Mentoring Through Critical Transition Points
National Science Foundation