Архив метки: Асимптотические методы

Ekaterina Shchetka

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email: shchetka.ekaterina@mail.rue.shchetka@spbu.ru

Curriculum vitae

PhD student since 2017.

I have a research position at the Chebyshev Laboratory.

Advisor: Prof. Dr. A. Fedotov

Research interests

  • spectral theory of almost periodic Schrodinger operators;
  • asymptotic analysis;
  • analytic theory of difference equations on the complex plane;
  • spectral theory of ergodic Schrodinger operators.

Preliminary PhD research proposal

Quasiclassical description of the geometric structure of the spectrum for almost Mathieu equation.

Publications

  1. A. Fedotov, E. Shchetka. Monodromy matrices for Harper equation. Proceedings of the International Conference Days on Diffraction 2018, pp. 4, St. Petersburg: IEEE;
  2. A. Fedotov and E. Shchetka. Complex WKB method for a difference Schrödinger equation with the potential being a trigonometric polynomial. St. Petersburg Math. J. 29 (2018), 363-381;
  3. A. Fedotov, E. Shchetka. Berry phase for difference equations. Proceedings of the International Conference Days on Diffraction 2017, pp. 113—116, St. Petersburg: IEEE;
  4. A.A. Fedotov, E.V. Shchetka. The complex WKB method for difference equations in bounded domains. J. Math. Sci. (2017) 224: 157—169;
  5. А.А. Федотов, Е.В. Щетка, Комплексный метод ВКБ для разностного уравнения Шрёдингера, потенциал которого — тригонометрический полином, Алгебра и анализ, 29:2 (2017), 193–219;
  6. A. Fedotov, E. Shchetka. Complex WKB method for difference equations in unbounded domains. Proceedings of the International Conference Days on Diffraction 2016, pp. 140—143, St.Petersburg: IEEE;
  7. А. А. Федотов, Е. В. Щетка, Комплексный метод ВКБ для разностных уравнений в ограниченных областях. Зап. научн. сем. ПОМИ, 438, ПОМИ, СПб., 2015, 236–254.

Conferences

  • Conférence «Semi-classical and geometric asymptotics in mathematical physics»(Laboratoire CPT, Université de Toulon, France, 2018);
  • Annual International Conference «Days on Diffraction», (PDMI RAS, St.Petersburg, 2018);
  • St. Petersburg Young Researcher Conference in Probability Theory and Mathematical Physics, (PDMI RAS, St.Petersburg, 2017);
  • Annual International Conference «Days on Diffraction», (PDMI RAS, St.Petersburg, 2017);
  • A trilateral German-Russian-Ukrainian summer school «Spectral Theory, Differential Equations and Probability», (Johannes Gutenberg Universität, Mainz, Germany, 2016);
  • 8th St.Petersburg Conference in Spectral Theory, (Euler International Mathematical Institute, 2016);
  • Annual International Conference «Days on Diffraction», (PDMI RAS, St.Petersburg, 2016);
  • International Student Conference «Science and Progress», (St. Petersburg State University, 2015).

Additional information

  • Government Scholarship for Ph.D. students in priority areas of modernization and technological development of Russia (2018);
  • The winner of the competition for students and young researchers «Petropolitan Science (Re)Search» (2017);
  • Bocconi Institute of Data Science Award (Milan, Italy, 2017);
  • Deich scholarship for the best master’s thesis (2017);
  • St. Petersburg State University Alumni Association Scholarship (2016);
  • St. Petersburg Government Scholarship for high academic achievements (2016);
  • Rokhlin Grant for young mathematicians of St. Petersburg (2016);
  • The 2nd place winner of the August Möbius Competition (Moscow) (2015).

Sergey B. Levin

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 Associate Professor

email: s.levin@spbu.ru

 Directions of research

  • diffraction approach to the scattering theory of quantum systems with slowly decreasing
    pair potentials,
  • asymptotic analysis,
  • spectral analysis.

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