My mathematical endeavor in training and research so far mostly concerns algebraic and geometric questions motivated by homological mirror symmetry. Roughly speaking, some of my attention has been on studying semiorthogonal decompositions of Fukaya categories of some particular Landau-Ginzburg models or the degenerations thereof, which should, in principle, mirror the effect of a variation of GIT quotient on the derived category of coherent sheaves. A more algebraic direction along these lines involves studying properties of perverse schobers and some interesting applications, which I have also invested efforts to pursue.