Geometry, Topology, and Mathematical Physics.
My most recent work concerns analytic formulas for volumes of classical supermanifolds, "microformal" geometry and homotopy algebras, and super Darboux transformations.
Previously, I did research on super de Rham theory on supermanifolds, calculus of variations, quantization, index theorem, quantum groups, generalizations of characteristic classes, and integral geometry.
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Ted Voronov. 15 (28) September 2015