Representation theory, Conformal field theory, algebraic geometry.
Main publications:
A. Belavin, M. Bershtein, B. Feigin, A. Litvinov, G. Tarnopolsky, “Instanton moduli spaces and bases in coset conformal field theory”, Comm. Math. Phys., 319:1 (2013), 269–301, arXiv: 1111.2803
M. Bershtein, V. Fateev, A. Litvinov,, “Selberg integrals and three-point correlation function in parafermionic Liouville field theory”, Nuclear Physics B, 84 (2011), 413–459, arXiv: 1011.4090