Research


Geometry, Topology, and Mathematical Physics.

    Much of what I do is related with supermanifolds and their applications. Broad areas of recent research can be described as bracket geometry (which includes odd and even Poisson structures, Lie algebroids and their generalizations, and homotopy algebras), geometry of differential operators, and integration on supermanifolds.

    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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http://www.maths.manchester.ac.uk/~tv/

Ted Voronov. 15 (28) September 2015