We invite prospective MSc and PhD candidates, as well as Postdoctoral Fellows, to study with us. Primarily, we are interested in differential geometry (and its applications). Possible topics for research include the following:

• categories of (invariant) control systems: equivalence and classification
• invariant optimal control problems on (matrix) Lie groups
• control structures
• Poisson structures (and optimal control)
• stability and integration of Hamiltonian systems on Lie–Poisson spaces
• Riemannian and sub-Riemannian geometry
• Nonholonomic Riemannian geometry
• Cartan's method of equivalence (applied to various differential geometric structures)
• the geometry of homogeneous spaces (and the method of moving frames).

Prior exposure to geometry (in a broad sense) is advantageous, but not essential for a motivated student. (Several supporting undergraduate and Honours courses are currently offered in the department.) While most of our research falls within the scope of pure mathematics, we also encourage students of applied mathematics to join us.

For more information, or to discuss potential topics for study, please contact us: c.c.remsing@ru.ac.za.