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Algebraic aspects of quantum mechanics and quantum field theory,
theory of grand unification,
integrable and exactly solvable systems.
Main results:
E6 asymptotically free and E8 asymptotically
supersymmetric models of Grand Unification,
massless representations of higher spin superalgebras,
matrix version of Calogero model, superspurs on the algebras
of observables of Calogero models.
Current interests:
integrable systems and exactly solvable models, higher spin superalgebras,
invariants of certain infinite-dimensional superalgebras.
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