L2-reducibility and localization for quasiperiodic operators S Jitomirskaya, I Kachkovskiy Mathematical Research Letters 23 (2), 431-444, 2016 | 39 | 2016 |

Distance to normal elements in C*-algebras of real rank zero I Kachkovskiy, Y Safarov Journal of the American Mathematical Society 29 (1), 61-80, 2016 | 35 | 2016 |

Anderson localization for two interacting quasiperiodic particles J Bourgain, I Kachkovskiy Geometric and Functional Analysis 29 (1), 3-43, 2019 | 26 | 2019 |

All couplings localization for quasiperiodic operators with monotone potentials S Jitomirskaya, I Kachkovskiy Journal of the European Mathematical Society, 2018 | 26 | 2018 |

On the structure of band edges of -dimensional periodic elliptic operators N Filonov, I Kachkovskiy Acta Mathematica 221 (1), 59-80, 2018 | 26* | 2018 |

On Transport Properties of Isotropic Quasiperiodic XY Spin Chains I Kachkovskiy Communications in Mathematical Physics 345 (2), 659-673, 2016 | 24 | 2016 |

Localization for quasiperiodic operators with unbounded monotone potentials I Kachkovskiy Journal of Functional Analysis 277 (10), 3467-3490, 2019 | 19 | 2019 |

A Hilbert-Schmidt analog of Huaxin Lin's Theorem N Filonov, I Kachkovskiy arXiv preprint arXiv:1008.4002, 2010 | 19 | 2010 |

ABSOLUTE CONTINUITY OF THE SCHRODINGER OPERATOR SPECTRUM IN A MULTIDIMENSIONAL CYLINDER I Kachkovskii, N Filonov ST PETERSBURG MATHEMATICAL JOURNAL 21 (1), 95-109, 2010 | 19* | 2010 |

Ballistic transport for one-dimensional quasiperiodic Schr\" odinger operators L Ge, I Kachkovskiy arXiv preprint arXiv:2009.02896, 2020 | 14 | 2020 |

Convergence of perturbation series for unbounded monotone quasiperiodic operators I Kachkovskiy, L Parnovski, R Shterenberg arXiv preprint arXiv:2006.00346, 2020 | 10 | 2020 |

Absolute continuity of the spectrum of the periodic Schrödinger operator in a layer and in a smooth cylinder I Kachkovskiy, N Filonov Journal of Mathematical Sciences 178 (3), 274-281, 2011 | 9* | 2011 |

Stein–Tomas theorem for a torus and the periodic Schrödinger operator with singular potential I Kachkovskiĭ St. Petersburg Mathematical Journal 24 (6), 939-948, 2013 | 4 | 2013 |

On spectral bands of discrete periodic operators N Filonov, I Kachkovskiy arXiv preprint arXiv:2205.10496, 2022 | 3 | 2022 |

Absence of eigenvalues for the periodic Schrödinger operator with singular potential in a rectangular cylinder IV Kachkovskiy Functional Analysis and Its Applications 47 (2), 104-112, 2013 | 3 | 2013 |

Absolute Continuity of the Spectrum of the Periodic Schrödinger Operator in a Cylinder with Robin Boundary Condition IV Kachkovskiy, ND Filonov Functional Analysis and Its Applications 54 (2), 110-117, 2020 | 1 | 2020 |

On the relation between strong ballistic transport and exponential dynamical localization I Kachkovskiy arXiv preprint arXiv:2001.01314, 2020 | 1 | 2020 |

Polynomials of almost-normal arguments in -algebras N Filonov, I Kachkovskiy Journal of Spectral Theory 2 (4), 355-371, 2012 | 1 | 2012 |

Absolute continuity of the spectrum of the periodic Schrödinger operator in a cylinder with Robin boundary condition I Kachkovskii, ND Filonov Funktsional'nyi Analiz i ego Prilozheniya 54 (2), 48-57, 2020 | | 2020 |

Almost commuting elements of real rank zero C*-algebras I Kachkovskiy King's College London (University of London), PhD thesis, 2013 | | 2013 |