Research

Here are my publications:

• The first step towards symplectic homotopy theory, arXiv:2304.10529

• Zoo of monotone Lagrangians in CP^n, arXiv:2110.11326 (submitted). 

• V. Oganesyan, Y. Sun;  Products and connected sums of spheres as monotone Lagrangian submanifolds, Journal of Geometry and Physics, Vol. 163, 2021, 104--114.

• V. Oganesyan; Monotone Lagrangian submanifolds of C^n and toric topology,  Algebraic and Geometric Topology, Vol. 22 (2022), 1017-1056.

• V. Oganesyan; Matrix Commuting Differential Operators of Rank 2 and Arbitrary Genus, International Mathematics Research Notices, Vol. 2019, No. 3 (2019), Pages 834--851.

• V. Oganesyan; AKNS hierarchy and finite-gap Schrodinger potentials, Theoretical and Mathematical Physics, Vol. 196, No. 1 (2018), 983--995.

• V. Oganesyan; Explicit Characterization of Some Commuting Differential Operators of Rank 2, International Mathematics Research Notices, Vol. 2017, No. 6 (2017), 1623--1640.

• V. Oganesyan; Alternative proof of Mironov's results on commuting self-adjoint operators of rank 2, Siberian Mathematical Journal, Vol. 59, No. 1 (2018), 102--106.

• V. Oganesyan; Commuting differential operators of rank 2 with rational coefficients, Functional Analysis and Its Applications, Vol. 52, No. 3 (2018), 203--213.

• V. Oganesyan; Commuting differential operators of rank 2 with polynomial coefficients, Functional Analysis and Its Applications, Vol. 50, No. 1 (2016), 54--61.

• V. Oganesyan; On operators of the form d_x^4 + u(x) from a pair of commuting differential operators of rank 2 and genus g, Russian Mathematical Surveys, Vol. 71, No. 3 (2016), 591--593.

• V. Oganesyan, Common eigenfunctions of commuting differential operators of rank 2, Mathematical Notes, Vol. 99, No. 2 (2016), 308--311.

• V. Oganesyan, Commuting differential operators of rank 2 and arbitrary genus g with polynomial coefficients, Russian Mathematical Surveys, Vol. 70, No. 1 (2015), 165--167.