Algebraic geometry, differential geometry, perverse sheaves, Mirror Symmetry, cohomological methods in contact and symplectic geometry, Yang–Mills theory.
Main publications:
M. Verbitsky, D. Kaledin. Hyperkaehler manifolds. International Press, Boston, 1999, 257 p. ISBN: 1-57146-071-3 (alg-geom 9712012).
Verbitsky M. Hypercomplex Varieties, alg-geom 9703016, 40 p. (Comm. Anal. Geom. 7 (1999), no. 2, 355–396).
Verbitsky M. Trianalytic subvarieties of the Hilbert scheme of points on a K3 surface, alg-geom 9705004 (published in GAFA, v. 8 (1998), 732–782).
Verbitsky M. Cohomology of compact hyperkaehler manifolds and its applications // GAFA, 1996, v. 6, no. 4, p. 601–612.
Verbitsky M. Hyperholomorphic bundles over the hyperkaehler manifolds, alg-geom 9307008 (1993), 43 p., also published in: Journ. of Alg. Geom., v. 5, no. 4 (1996), p. 633–669.
