Mass spectrometry Imaging-based hormonomics analysis for plant stress  studies
Supervisor: Mgr. Karel Doležal, Dr., DSc.

Developing mass spectrometry imaging-based hormonomics methods for  plant tissue imaging
Supervisor: Mgr. Karel Doležal, Dr., DSc.

Hormopriming as a potential tool for regulating plant stress responses
Školitel: RNDr. Ondřej Plíhal, PhD.

Protein-protein interactions as target for pharmacological modulation of aryl hydrocarbon receptor AhR signaling pathway
Supervisor: prof. RNDr. Zdeněk Dvořák DrSc., Ph.D.

Function of plant RAD60 in SUMO-dependent genome stability signaling
Supervisor: Mgr. Eva Dvořák Tomaštíková, Ph.D.

Genetic and developmental consequences of ploidy transitions in barley seeds
Supervisor: Ing. Anna Katarzyna Nowicka, Ph.D.

Analysis of equilibria
Supervisor: Prof. RNDr. dr hab. Jan Andres CSC.,DSc.
Nonlinear and multivalued analysis of equilibria will be considered to dynamical systems and differential inclusions. Standard well known equilibria are, for instance those of Nash in the frame of the game theory. Using the fractional and topological methods (degree arguments, or so), the existence, localization, multiplicity and stability results will be of an interest.

Multivalued boundary value problems
Supervisor: Prof. RNDr. dr hab. Jan Andres CSC.,DSc.
Boundary value problems for the second-order differential inclusions with Neumann boundary conditions will be under consideration. The applied technique will be based on a combination of topological (e.g. degree) arguments and Lyapunov-type bounding functions. The existence, localization and multiplicity results will be of an interest.

Almost-periodic sequences
Supervisor: Prof. RNDr. dr hab. Jan Andres CSC.,DSc.
The hierarchy of almost-periodic sequences will be investigated in various metrics. The existence of almost-periodic solutions will be then considered. In the particular case of limit-periodic solutions, the difference equations will be preferably explored in the absence of global lipschitzianity imposed on the right-hand sides.