теория многообразий, алгебраическая топология, теория графов.
Основные публикации:
V. M. Nezhinskij, “Singular links of spheres of dimensions $k,\dots,k,p$ in $2k+1$-sphere”, Algebra and Analiz, 11:1 (1999), 171–243; English translation: St. Petersburg Math. J., 11:1 (2000), 129–181
V. M. Nezhinskij, “An analog of Milnor group of a link in the higher-dimensional link theory”, Journal of Mathematical Sciences, 104:4 (2001), 1364–1373
; English translation: St. Petersburg Math. J., 11:1 (2000), 
