Research

Publications

• Difference equations in the complex plane: quasiclassical asymptotics and Berry phase (with A. Fedotov ), Applicable Analysis (2022) 101:1, 274-296, arXiv

• The Spectrum and Density of States of the Almost Mathieu Operator with Frequency Represented by a Continued Fraction with Large Elements (with A. Fedotov ), Math Notes (2020) 107, 1040–1045

• Semiclassical asymptotics of the spectrum of the subcritical Harper operator (with A. Fedotov ), Mathematical Notes (2018), 104: 6, 948–952

• Complex WKB method for a difference Schrödinger equation with the potential being a trigonometric polynomial (with A. Fedotov ),
  St. Petersburg Math. J. (2018) 29, 363-381

• Monodromy matrices for Harper equation (with A. Fedotov ), Days on Diffraction St. Petersburg: IEEE (2018), 102-106

• The complex WKB method for difference equations in bounded domains (with A. Fedotov ), Journal of Mathematical Sciences (NY) (2017), 224:1 157-169

• Berry phase for difference equations (with A. Fedotov ), Days on Diffraction St. Petersburg: IEEE (2017), 113-116

• Complex WKB method for difference equations in unbounded domains (with A. Fedotov ), Days on Diffraction St. Petersburg: IEEE (2016), 140-143

Conference Talks

• Workshop “Semiclassical Asymptotics and Nonlocal Elliptic Problems”, RUDN University, online, 2021

• Annual International Conference “Days on Diffraction”, Steklov Math Institute, online, 2020

• Conference on Spectral Theory and Mathematical Physics, Sirius Center, Sochi, 2020

• Conference “Asymptotic Analysis & Spectral Theory”, University Paris-Sud, Orsay, 2019

• School “Randomness in Physics and Mathematics”, ZiF, Bielefeld, 2019

• Annual International Conference “Days on Diffraction”, Steklov Mathematical Institute, St. Petersburg, 2019

• International School “Spectral Function Theory”, Chebyshev Laboratory, St. Petersburg State University, 2019

• Research School “Coulomb Gas, Integrability and Painleve’s Equations”, CIRM, Luminy, 2019,

• Fourth Russian-Indian Conference in Statistics and Probability, Euler International Mathematical Institute, St. Petersburg, 2019

• Nonlinear dynamics and long-time asymptotics, Steklov Mathematical Institute, St. Petersburg, 2019

• Stochastic Models II, Euler International Mathematical Institute, St. Petersburg, 2019

• Semi-classical and geometric asymptotics in mathematical physics, Laboratoire CPT, Université de Toulon, Toulon, 2018

• St. Petersburg Young Researcher Conference in Probability Theory and Mathematical Physics, Steklov Mathematical Institute, 2017

• Annual International Conference “Days on Diffraction”, Steklov Mathematical Institute, St. Petersburg, 2017

• Spectral Theory, Differential Equations and Probability, Johannes Gutenberg Universität, Mainz, 2016

• 8th St.Petersburg Conference in Spectral Theory, Euler International Mathematical Institute, St. Petersburg, 2016

Seminar Talks

• Department of Mathematical Physics Seminar, St. Petersburg State University, 2019

• Dynamical Systems Seminar, Higher School of Economics, Moscow, 2019

• Department of Mathematical Physics Seminar, St. Petersburg State University, 2018

• Chebyshev Lab Student Colloquium, Chebyshev Laboratory, St. Petersburg State University, 2017

• St. Petersburg Seminar on Wave Diffraction and Propagation, Steklov Mathematical Institute, St. Petersburg, 2016

• Department of Mathematical Physics Seminar, St. Petersburg State University, 2016

Slides, videos, and poster