Pade approximations and their generalizations, noncommutative Grassmannian sigma models; holomorphic solutions of integrable equations.
Main publications:
A. V. Komlov, S. P. Suetin, “An asymptotic formula for polynomials orthonormal with respect to a varying weight. II”, Sb. Math., 205:9 (2014), 1334–1356
A. V. Komlov, S. P. Suetin, “Asimptoticheskaya formula dlya polinomov, ortonormirovannykh otnositelno peremennogo vesa”, Tr. MMO, 73, no. 2, MTsNMO, M., 2012, 175–200
A. V. Komlov, “On the poles of Picard potentials”, Trans. Moscow Math. Soc., 71 (2010), 241–250
A. V. Komlov, “Noncommutative Grassmannian $U(1)$ sigma model and a Bargmann–Fock space”, Theoret. and Math. Phys., 153:3 (2007), 1643–1651
