Keep the company of those who seek the truth, and run away from those who have found it. – Vaclav Havel
Selected presentations
On a family of homogeneous spaces. Talk presented at the Conference on Geometry: Theory and Applications (CGTA 2023), Kefermarkt, Austria (2023)
On geometry, life and ... everything else. Talk presented at the CIMPA School on Contemporary Geometry, Windhoek, Namibia (2023)
Geometric control on the Engel group. Talk presented at the 12th ICMAT International Summer School on Geometry, Mechanics and Control, Santiago de Compostela, Spain (2018)
Nonholonomic Riemannian structures on Lie groups. Talk presented at the Conference on Geometry: Theory and Applications (CGTA 2017), Pilsen, Czech Republic (2017) [pdf]
On the classification of control systems on the Engel group. Talk presented at the 7th European Congress of Mathematics (7ECM), Berlin, Germany (2016) [pdf]
Control systems on the Engel group: equivalence and classification. Talk presented at the 13th International Conference on Differential Geometry and its Applications (DGA 2016), Brno, Czech Republic (2016) [pdf]
On the geometry of control systems: from classical control systems to control structures. Plenary address (invited speaker) at the 4th International Conference on Lie Groups, Differential Equations and Geometry, Modica, Italy (2016) [pdf]
Invariant control systems on Lie groups. Plenary address (invited speaker) attheInternational Conference on Applied Analysis and Mathematical Modeling (ICAAMM 2015), Istanbul, Turkey (2015) [pdf]
Control systems on Lie groups: equivalence and classification. Plenary address (keynote lecture) at the Eastern Cape Postgraduate Seminar in Mathematics, Port Elizabeth, South Africa (2015)
Invariant control systems on Lie groups. Plenary address (invited speaker) at the 2nd International Conference on Lie Groups, Differential Equations and Geometry, Palermo, Italy (2014)
Invariant control systems on Lie groups: equivalence and classification. Talk presented at the University of Ostrava, Ostrava, Czech Republic (2014)
Feedback classification of invariant control systems on three-dimensional Lie groups. Talk presented at the 9th IFAC Symposium on Nonlinear Control Systems (NOLCOS 2013), Toulouse, France (2013) [pdf]
Some remarks on the oscillator group. Talk presented at the 12th International Conference on Differential Geometry and its Applications (DGA 2013), Brno, Czech Republic (2013) [pdf]
Geometric optimal control on matrix Lie groups. Talk presented at the University of Palermo, Palermo, Italy (2013) [pdf]
On the equivalence of cost-extended control systems on Lie groups. Talk presented at the 8th WSEAS International Conference on Dynamical Systems and Control, Porto, Portugal (2012)
Optimal control, stability, and integration on matrix Lie groups. Talk presented at University of Reading, Reading, U.K. (2012)
Control and stability on the Euclidean group \(\mathsf{SE(2)}\). Talk presented at the International Conference of Applied and Engineering Matheamtics (ICAEM 2011), London, UK (2011) [pdf]
An optimal control problem on the Euclidean group \(\mathsf{SE(2)}\). Talk presented at the International Conference on Applied Analysis and Algebra (ICAAA 2011), Istanbul, Turkey (2011) [pdf]
Integrability and optimal control. Talk presented at the 19th International Symposium on Mathematical Theory of Networks and Systems (MTNS 2010), Budapest, Hungary (2010) [pdf]
Control and integrability on \(\mathsf{SO(3)}\). Talk presented at the International Conference of Applied and Engineering Mathematics (ICAEM 2010), London, UK (2010) [pdf]
Stability and optimal control. Talk presented at the International Conference of Mathematical Sciences (ICMS 2009), Istanbul, Turkey (2009)
Optimal control, stability, and Hamilton–Poisson formalism. Talk presented at the 5th International Conference of Applied Mathematics and Computation (ICAMC 2008), Plovdiv, Bulgaria (2008)
Matrix Lie groups. Talk presented at Rhodes University, Grahamstown, South Africa (2007) [pdf]
Geometric fuzzification. Talk presented at Rhodes University, Grahamstown, South Africa (2001)
The tangential geometry of foliations. Talk presented at the 7th Colloquium on Differential Geometry, Santiago de Compostela, Spain (1994)
Diffeological spaces: a perspective. Talk presented at the 37th Annual Congress of the SAMS, Port Elizabeth, South Africa (1994)
On the tangential geometry of foliations. Talk presented at the 36th Annual Congress of the SAMS, Pietermaritzburg, South Africa (1993)
Transversally symplectic foliations. Talk presented at the 35th Annual Congress of the SAMS, Cape Town, South Africa (1992)
Foliated structures (Romanian). Talk presented at the National Conference of Student Scientific Communications, Craiova, Romania (1982)
Unpublished notes
Curve theory in 2D linear homogeneous spaces. (work in progress)
Curves in homogeneous spaces. (work in progress)
Geometry of homogeneous spaces. (work in progress)
Vector fields on the real line. 2018, 26 pages
Manifolds with discrete structure. 2015, 12 pages (incomplete)
Manifolds. 2015, 27 pages (incomplete)
Control structures. 2014 (after R.L. Bryant and R.B. Gardner), 12 pages
Cartan's method of equivalence. 2014 (after R. Montgomery), 18 pages (incomplete)
Equivalence of G-structures. 2014 (after L. Conlon), 6 pages (incomplete)
Geometry of bivectors. 2006, 10 pages (incomplete)