Analitical theory of differential equations, isomonodromic deformations, Riemann-Hilbert problem.
Main publications:
V. Poberezhny, “General linear problem of the isomonodromic deformation of fuchsian system”, Math. Notes, 81:3-4 (2007), 529–542
V. Poberezhny, “On the Painlevé property of isomonodromic deformations of Fuchsian systems”, Acta Appl. Math., 101:1-3 (2008), 255–263
R. Gontsov, V.Poberezhny, “Various versions of the Riemann-Hilbert problem for linear differential equations”, Rus. Math. Surveys, 63:4 (2008), 603–639
