The following faculty are looking for undergraduate students to advise.

Computer Vision, Imaging (for example Tomography/Segmentation Physics), Sparcity, Covariance, Recognition/Feature Extraction Problems (which occur in medical imaging and target and sensor recognition),
Networks (in particular self healing networks, bioinformatic networks), Clustering, Sampling, Gene/protein interaction, Computational
intelligence, Inverse Problems
Research Advisor:  Dr. Steve Damelin

q-Series, Integer Partitions, Symbolic Computation, Mathematics of Ramanujan
Research Advisor:  Dr. Andrew Sills

Decompositions of Continuity
Research Advisor:  Dr. Frédéric Mynard

Some special integral matrix problems; Time varying systems and control methods; Feedback linearization of nonlinear affine systems; The Z-problem in Lorenz systems; Estimation of basin of attraction of some nonlinear dynamical systems.
Research Advisor:  Dr. Yan Wu

Flexagon Pats and Faces
Research Advisor:  Dr. Bruce McLean

Extremal and enumeration problems applied to graph structures in Chemistry, Industry and Biology
Research Advisor:  Dr. Hua Wang