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Theodore Voronov


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Theodore Voronov is a Reader in Pure Mathematics at the University of Manchester, Department of Mathematics. His research areas include Differential Geometry, Topology, and Mathematical Physics, with a focus on supermanifold geometry, quantization, index theorem, quantum groups, and integral geometry. He has conducted research on odd and even Poisson brackets, geometry of differential operators, homotopy algebras, super linear algebra, and its applications. Voronov has taught at the Moscow State University and has been affiliated with the University of California, Berkeley, and the University of California, San Diego. He obtained his Ph.D. and B.A./M.A. from the Moscow State University in 1989 and 1984, respectively. He is also involved in the Manchester Geometry Seminar and supervises PhD students in the areas of Geometry and Mathematical Physics.


Scholar profile summary
Scholar-generated biography

Theodore Voronov is a Reader in Pure Mathematics at the University of Manchester, specializing in Algebra, Geometry, Topology, and Mathematical Physics. His research focuses on advanced topics such as higher derived brackets, homotopy algebras, graded manifolds, and Lie bialgebroids. Voronov's work explores the interplay between geometry and physics, particularly through the lens of supermanifolds and their applications in quantum field theory. He has contributed significantly to the understanding of differential forms, integral geometry, and the quantization of supermanifolds, including an analytic proof of the Atiyah-Singer index theorem. His research bridges abstract algebraic structures with geometric and physical interpretations, advancing the field of mathematical physics.

Source: google_scholar · 104 words
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