"The hardest thing of all is to find a black cat in a dark room, especially if there is no cat."
Confucius
Confucius
Reserach Interests
Currently, my research interests are primarily focussed on the following four topics.
- Sub-Riemannian structures, especially on Lie groups: classification, isometries and isometry groups, geodesics, conjugate and cut loci, totally geodesic submanifolds, submersions and immersions.
- Control sytems & optimal control problems, especially on Lie groups: equivalence and classification, explicit calculation of extremals, differential geometric links.
- Linear Poisson spaces, and especially quadratic Hamilton–Poisson systems on such low-dimensional spaces: equivalence and classification, geometric and topological invariants, stability of equilibria, explicit integration.
- Lie groups and Lie algebras: classification of distinguished classes of groups, algebras, and various substructures.
Recent activities
2019
- 2nd Mini-Symposium: Geometry, Groups and Control, Rhodes University, South Africa.
2018
- Research visit to Geometry of Metric Groups group (ERC Project), Jyväskylä University, Finland.
- 1st Mini-Symposium: Geometry, Groups and Control, Rhodes University, South Africa.
- 61th Annual Congress of the South African Mathematical Society, Rhodes University, South Africa.
- Research visit to Rhodes University
2017
- 60th Annual Congress of the South African Mathematical Society, Potchefstroom, South Africa.
- Two research visits to Rhodes University.
2016
- 7th European Congress of Mathematics, Berlin, Germany.
- 13th International Conference on Differential Geometry and its Applications, Brno, Czech Republic.
- 4th International Conference on Lie groups, Differential Equations and Geometry, Modica, Italy.
- Research visit to the University of Palermo.
2015
- Workshop on Geometry, Lie Groups and Number Theory, University of Ostrava, Czech Republic.
- Research visit to University of Ostrava, Óbuda University, and the University of Debrecen.
2014
- 13th European Control Conference, Strasbourg, France.
- 2nd International Conference on Lie Groups, Differential Equations and Geometry, University of Palermo, Italy.
- Research visit to Óbuda University, the University of Debrecen and the University of Palermo.
