Spectral theory of differential operators, mathematical physic, abstract operator theory
Main publications:
I. S. Lobanov, V. Yu. Lotoreichik, I. Yu. Popov, “Otsenka snizu spektra dvumernogo operatora Shredingera s $\delta$-potentsialom na krivoi”, Teoreticheskaya i matematicheskaya fizika, 162:3 (2010), 397–407
J. Behrndt, M. Langer, I. Lobanov, V. Lotoreichik, I. Yu. Popov, “A remark on Schatten–von Neumann properties of resolvent differences of generalized Robin Laplacians on bounded domains”, Journal of Mathematical Analysis and Applications, 371:2 (2010), 750–758