Theory of Paradeterminants triangular matrix and its applications, kombinatory of multisets.
Main publications:
Zatorskii R. A., “O paradeterminantakh i parapermanentakh treugolnykh matrits”, Matematicheskie studii, 17:1 (2002), 3–17
Zatorskii R. A., “Ob odnom algoritme perechisleniya $m$-perestanovok na multimnozhestvakh”, Matematicheskie studii, 17:2 (2002), 215–219
Zatorskii R. A., “Opredeliteli treugolnykh matrits i traektorii na diagrammakh Ferre”, Matematicheskie zametki, 72:6 (2002), 834–852
Zatorskii R. A., “Podschet $m$-podmultimnozhestv cherez ikh vtorichnye spetsifikatsii”, pod red. K. A. Rybnikova, Kombinatornyi analiz, 7, MGU, M., 1986, 136–145
Zatorsky R. A., “Theory of paradeterminants and its applications”, Algebra and Diskrete Mathematics, 2007, № 1, 109–138