Publication 1: Beta-gamma systems and the deformations of the BRST operator (URL) Publication 2: Conformal Field Theory and Algebraic Structure of Gauge Theory (URL) Publication 3: Quantum Group as Semi-infinite Cohomology (URL) URL of Research: Statement of Interest:
These are the main topics of my interest: 1) Homotopy algebras in quantum field theory and string theory. 2) Geometry of beta-gamma systems and sheaves of vertex operator algebras on manifolds. In particular, geometric and algebraic features of perturbed beta-gamma systems. 3) The theory of vertex operator algebras (including braided ones), their interrelations with conformal field theory, integrable systems and quantum groups.