Large scale structure of the Universe – galaxy filaments and the properties of various astrophysical sources in relation to them.
The filament network should be connected, i.e., loose ends and lone filamentary scraps should be rare or even nonexistent. We achieved this by morphological transformations of celestial projections within an image analysis framework.
Ultra-high energy cosmic rays (UHECRs) and ultra-high energy neutrinos (UHEν) – in particular, the connection between UHEν and GRBs, blazars and matter distribution.
Solar variability – in particular, the statistics and forecasting of the sunspot number (SSN).