Research

Here are my publications:

• V. Oganesyan; The first step towards symplectic homotopy theory,                                                                                 arXiv:2304.10529  (submitted)

• V. Oganesyan; Zoo of monotone Lagrangians in CP^n,                                                                                          (to appear in Selecta Mathematicae), arXiv:2110.11326 

• V. Oganesyan; Y. Sun;  Products and connected sums of spheres as monotone Lagrangian submanifolds, Journal of Geometry and Physics, Vol. 163, 2021, 104--114, arXiv:1905.08891

• V. Oganesyan; Monotone Lagrangian submanifolds of C^n and toric topology,                                           Algebraic and Geometric Topology, Vol. 22 (2022), 1017-1056, arXiv:1812.05007 

• V. Oganesyan; Matrix Commuting Differential Operators of Rank 2 and Arbitrary Genus,              International Mathematics Research Notices, Vol. 2019  (2019), 834--851, arXiv:1610.02367

• V. Oganesyan; AKNS hierarchy and finite-gap Schrodinger potentials,                                                  Theoretical and Mathematical Physics, Vol. 196 (2018), 983--995, arXiv:1512.03981

• V. Oganesyan; Explicit Characterization of Some Commuting Differential Operators of Rank 2,    International Mathematics Research Notices, Vol. 2017  (2017), 1623--1640, arXiv:1502.07491

• V. Oganesyan; Alternative proof of Mironov's results on commuting self-adjoint operators of rank 2, Siberian Mathematical Journal, Vol. 59  (2018), 102--106.

• V. Oganesyan; Commuting differential operators of rank 2 with rational coefficients,                          Functional Analysis and Its Applications, Vol. 52  (2018), 203--213, arXiv:1608.05146

• 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 (2016), 591--593.

• V. Oganesyan; Commuting differential operators of rank 2 with polynomial coefficients,                        Functional Analysis and Its Applications, Vol. 50  (2016), 54--61, arXiv:1409.4058

• V. Oganesyan, Common eigenfunctions of commuting differential operators of rank 2,                       Mathematical Notes, Vol. 99 (2016), 308--311 arXiv:1502.07078

• 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.