Dr. Clelland's research uses methods from geometry to study a variety of problems in differential equations, including differential equations that arise naturally in various contexts in differential geometry. Her recent and current research includes the study of Backlund transformations for hyperbolic partial differential equations, geometric structures associated to control systems which are linear or affine linear in the control variables, and isometric immersion of Riemannian manifolds, among other topics.

keywords

geometry of differential equations, exterior differential systems, Cartan's method of moving frames, Backlund transformations, geometry of control systems, dynamic equivalence for control systems, isometric embeddings of Riemannian manifolds, Darboux integrability