Lecture Notes and Textbooks

There is (prototype of) the full lecture notes to all four semesters of basic Mathematics (nearly 800 double-pages, includes about 1000 worked out exercises, in Czech). The English more comprehensive version is under preparation and should appear as a "new generation of augmented books soon.

Further rather informal and short texts related to many lectures which I introduced in the last three decades include:

• Linear algebra (in Czech), plus exercises (worked out by students, also in Czech)
• Elementary Algebraic Geometry (in Czech)
• Geometric algorithms I (simple and really old version of Computational Geometry, in Czech)
• Geometric Algorithms II (Computational commutative algebra and algebraic geometry, in Czech)
• Representations of semisimple Lie algebras (notes of seminars, in Czech)
• Geometric structures (notes of seminars, in Czech)

PhD and MSc Thesis

The list of the Phd and MSc students supervised by myself is available via the Masaryk University Information System and the full texts of the dissertations (and all related reports etc.) should be available there too. So far, I enjoyed working with 12 successful PhD students:

Avinash Bansal (2023) Geometric Methods in Medical Imaging
Natalia Bezvitnaya (2011) Holonomy groups of pseudo-quaternionic-Kählerian manifolds
Temesgen Tsegaye Bihonegn (2023) Geometric Approach to Tractography in Brain Imaging
Jan Gregorovič, (2012) Geometric structures invariant to symmetries
Christian Gustad (2019) Differential invariance and Lie theory
Jaroslav Hrdina (2007) Generalized planar curves and quaternionic geometries
Sumit Kaushik (2020) Geometric Approach to Segmentation in Diffusion Magnetic Resonance Imaging
Martin Panák (2001) Natural operators on the bundle of Cartan connections
Josef Šilhan (2004) Cohomology of Lie algebras
Radek Suchánek (2023) Geometric structures and methods in view of their applications in Mathematical Physics (joint degree with University of Angers, France)
Vojtěch Žádník (2004) Generalized Geodesics
Lenka Zalabová (2007) Symmetries of parabolic geometries

Currently, I supervise four active doctoral students: Chen-Hsu Chien , Martin Doležal , Steven Greenwood , and Petr Vlachopulos.