Geometry, Topology and Mathematical Physics.
Much of what I do is related with supermanifolds and their applications.
My most recent research concerns topics such as odd and even Poisson brackets, higher derived brackets, multiple Lie algebroids, "nonlinear" analogs of Lie algebroids, homotopy algebras, super linear algebra and its applications, and others. I have done research in integration theory and forms on supermanifolds, calculus of variations, quantization, index theorem, quantum groups, generalizations of characteristic classes, and integral geometry.

