Andrei Pogrebkov
- Professor:Faculty of Mathematics / Joint Department with the Steklov Mathematical Institute (RAS)
- Andrei Pogrebkov has been at HSE University since 2012.
Education, Degrees and Academic Titles
- 1984
Doctor of Sciences*
- 1980Senior Research Fellow
- 1970
Degree
Lomonosov Moscow State University
* Doctor of Sciences
A post-doctoral degree called Doctor of Sciences is given to reflect second advanced research qualifications or higher doctorates in ISCED 2011.
A post-doctoral degree called Doctor of Sciences is given to reflect second advanced research qualifications or higher doctorates in ISCED 2011.
Courses (2022/2023)
- Research Seminar "Discrete Integrable Equations and their Reductions" (Optional course (faculty); 3, 4 module)Eng
Research Seminar "Mechanics" (Bachelor’s programme; Faculty of Mathematics; field of study "01.03.01. Математика", field of study "01.03.01. Математика"; 3 year, 3, 4 module)Rus
- Research Seminar "Mechanics" (Bachelor’s programme; Faculty of Mathematics; 2 year, 3, 4 module)Rus
- Past Courses
Courses (2021/2022)
- Research Seminar "Introduction to the Theory of Integral Equations" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Rus
- Research Seminar "Mechanics" (Bachelor’s programme; Faculty of Mathematics; 3 year, 3, 4 module)Rus
- Research Seminar "Mechanics" (Bachelor’s programme; Faculty of Mathematics; 2 year, 3, 4 module)Rus
Courses (2020/2021)
Research Seminar "Introduction to the Theory of Integral Equations" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Rus
Courses (2019/2020)
- Research Seminar "Constructive Methods of Functional Analysis" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Eng
- Research Seminar "Discrete Integrable Equations and their Reductions" (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Eng
Courses (2018/2019)
- Intrduction to Functional Analysis (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Rus
- Research Seminar "Introduction to the Theory of Integrable Equations" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Eng
- Research Seminar "Mechanics" (Bachelor’s programme; Faculty of Mathematics; 2 year, 4 module)Rus
Courses (2017/2018)
- Functional Analysis 1 (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Eng
- Mathematical Practical Training 2 (Bachelor’s programme; Faculty of Mathematics; 2 year, 1-4 module)Rus
- Research Seminar "Elementary Introduction to the Theory of Integrable Differential Equations" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Eng
Editorial board membership
1994: Deputy Editor-in-chief, Теоретическая и математическая физика (Theoretical and Mathematical Physics).
Publications19
- Article Pogrebkov A. Kadomtsev–Petviashvili Hierarchy: Negative Times // Mathematics. 2021. Vol. 9. No. 16. Article 1988. doi
- Article A.K.Pogrebkov. Induced dynamics // Journal of Nonlinear Mathematical Physics. 2020. Vol. 27. No. 2. P. 324-336. doi
- Article Pogrebkov A. Hirota Difference Equation and Darboux System: Mutual Symmetry // Symmetry. 2019. Vol. 11. No. 436. P. 1-11. doi
- Preprint Pogrebkov A. Induced dynamics / Cornell University. Series arXiv "math". 2019. No. 1904.09469.
- Article Погребков А. К., Кулаев Р., Шабат А. Система Дарбу: Лиувиллева редукция и явное решение // Труды Математического института им. В.А. Стеклова РАН. 2018. Т. 302. С. 268-286. doi
- Article Boiti M., Pempinelli F., Pogrebkov A. KPII: Cauchy–Jost function, Darboux transformations and totally nonnegative matrices // Journal of Physics A: Mathematical and Theoretical. 2017. Vol. 50. No. 30. P. 1-23. doi
- Article Pogrebkov A. Symmetries of the Hirota Difference Equation // Symmetry, Integrability and Geometry: Methods and Applications (SIGMA). 2017. Vol. 13. No. 53. P. 1-14. doi
- Article Pogrebkov A. Commutator identities on associative algebras, the non-Abelian Hirota difference equation and its reductions // Theoretical and Mathematical Physics. 2016. Vol. 187. No. 3. P. 823-834. doi
- Article Pogrebkov A., Boiti M., Pempinelli F. Cauchy–Jost function and hierarchy of integrable equations // Theoretical and Mathematical Physics. 2015. Vol. 185. No. 2. P. 1599-1613. doi
- Article A.K.Pogrebkov. HIROTA DIFFERENCE EQUATION: INVERSE SCATTERING TRANSFORM, DARBOUX TRANSFORMATION, AND SOLITONS // Theoretical and Mathematical Physics. 2014. Vol. 181. No. 3. P. 1585-1598.
- Chapter Pogrebkov A., Pempinelli F., Boiti M. IST of KPII equation for perturbed multisoliton solutions, in: Topology, Geometry, Integrable Systems, and Mathematical Physics: Novikov's Seminar 2012–2014 / Ed. by V. Buchstaber, B. Dubrovin, I. M. Krichever. Providence : American Mathematical Society, 2014. doi Ch. 4. P. 49-74. doi
- Article Бойти М., Пемпинелли Ф., Погребков А. К. Расширенная резольвента оператора теплопроводности с солитонным потенциалом // Теоретическая и математическая физика. 2012. Т. 172. № 2. С. 181-197.
- Article Boiti M., Pempinelli F., Pogrebkov A. Heat operator with pure soliton potential: properties of the Jost and dual Jost solutions // Journal of Mathematical Physics. 2011. Vol. 52. No. 083506. P. 1-21.
- Article Бойти М., Пемпинелли Ф., Погребков А. К. Свойства солитонных потенциалов оператора теплопроводности // Теоретическая и математическая физика. 2011. № 168. С. 13-23.
- Article Pogrebkov A. Hirota difference equation and a commutator identity on an associative algebra // St Petersburg Mathematical Journal. 2010. No. 22. P. 191-205.
- Article Бойти М., Помпинелли Ф., Погребков А. К., Принари Б. Об эквивалентности различных подходов к построению многосолитонных решений уравнения Кадомцева–Петвиашвили-II // Теоретическая и математическая физика. 2010. Т. 165. С. 3-24.
- Article Погребков А. К., Бойти М., Помпинелли Ф., Принари Б. Построение расширенной резольвенты оператора теплопроводности с помощью сплетающих преобразований // Теоретическая и математическая физика. 2009. Т. 159. С. 364-378.
- Article Pogrebkov A. 2D Toda chain and associated commutator identity // American Mathematical Society Translations: Series 2. 2008. Vol. 224. P. 261-269.
- Article Погребков А. К. Коммутаторные тождества на ассоциативных алгебрах и интегрируемость нелинейных эволюционных уравнений // Теоретическая и математическая физика. 2008. Т. 154. С. 477-491.