Vladimir Andreevich Poberezhny
- Associate Professor:Faculty of Mathematics
- Programme Academic Supervisor:Mathematics and Mathematical Physics
- Vladimir Andreevich Poberezhny has been at HSE University since 2013.
Education and Degrees
- 2005
Candidate of Sciences* (PhD) in Physical and Mathematical Sciences
Steklov Mathematical Institute of the Russian Academy of Sciences
Thesis Title: On isomonodromic deformations of Fuchsian systems with commutative monodromy - 2001
Degree
Lomonosov Moscow State University - 2001
Degree
Lomonosov Moscow State University, Mechanics and Mathematics
According to the International Standard Classification of Education (ISCED) 2011, Candidate of Sciences belongs to ISCED level 8 - "doctoral or equivalent", together with PhD, DPhil, D.Lit, D.Sc, LL.D, Doctorate or similar. Candidate of Sciences allows its holders to reach the level of the Associate Professor.
Courses (2023/2024)
- Academic Mentor's Seminar "Mathematical Physics" (Master’s programme; Faculty of Mathematics; 2 year, 1-4 module)Eng
- Academic Mentor's Seminar "Mathematical Physics" (Master’s programme; Faculty of Mathematics; 1 year, 1-4 module)Eng
Calculus (Bachelor’s programme; Faculty of Mathematics; field of study "01.03.01. Математика", field of study "01.03.01. Математика"; 1 year, 1-4 module)Rus
Differential Equations (Bachelor’s programme; Faculty of Mathematics; field of study "01.03.01. Математика", field of study "01.03.01. Математика"; 2 year, 1, 2 module)Rus
- Hamiltonian Mechanics (Optional course (faculty); 1, 2 module)Rus
- Research Seminar "Geometric Aspects of Differential Equations. The Riemann Problem" (Optional course (faculty); 1, 2 module)Rus
- Research Seminar "Geometry of Differential Equation: Isomonodromic Deformations" (Optional course (faculty); 3, 4 module)Rus
Theory of Complex Functions (Bachelor’s programme; Faculty of Mathematics; field of study "01.03.01. Математика", field of study "01.03.01. Математика"; 2 year, 3, 4 module)Rus
- Past Courses
Courses (2022/2023)
- Academic Mentor's Seminar "Mathematical Physics" (Master’s programme; Faculty of Mathematics; 1 year, 1-4 module)Eng
Calculus (Bachelor’s programme; Faculty of Mathematics; field of study "01.03.01. Математика", field of study "01.03.01. Математика"; 1 year, 1-4 module)Rus
- Differential Equations (Bachelor’s programme; Faculty of Physics; 1 year, 3, 4 module)Rus
Differential Equations (Bachelor’s programme; Faculty of Mathematics; field of study "01.03.01. Математика", field of study "01.03.01. Математика"; 2 year, 1, 2 module)Rus
- Hamiltonian Mechanics (Optional course (faculty); 1, 2 module)Rus
- Research Seminar "Geometry and Algebra of Differential Equations" (Optional course (faculty); 1, 2 module)Rus
- Research Seminar "Holomorphic Bundles, Meromorphic Connections and their Applications" (Optional course (faculty); 3, 4 module)Rus
Theory of Complex Functions (Bachelor’s programme; Faculty of Mathematics; field of study "01.03.01. Математика", field of study "01.03.01. Математика"; 2 year, 3, 4 module)Rus
Courses (2021/2022)
- Calculus (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
- Hamiltonian Mechanics (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Rus
- Research Seminar "Complex Analysis" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Eng
- Research Seminar "Geometry of Differential Equations 1" (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Rus
- Research Seminar "Geometry of Differential Equations 2" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Rus
- Theory of Complex Functions (Bachelor’s programme; Faculty of Mathematics; 2 year, 3, 4 module)Rus
Courses (2020/2021)
- Hamiltonian Mechanics (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Rus
- Mathematics. Licenciatus (Bachelor’s programme; Faculty of Mathematics; 4 year, 1 module)Rus
- Research Seminar "Complex Analysis" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Eng
- Research Seminar "Differential and Difference Equations and their Isomonodromic Deformations" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Rus
- Research Seminar "Differential Equations and Analysis in Vector Bundles on the Riemann Surfaces" (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Rus
- Research Seminar "Smooth Manifolds" (Bachelor’s programme; Faculty of Mathematics; 2 year, 1, 2 module)Rus
Courses (2019/2020)
- Research Seminar "Geometry and Analysis of Differential Equations 1" (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Rus
- Research Seminar "Geometry and Analysis of Differential Equations 2" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Rus
- Research Seminar "Mechanics" (Bachelor’s programme; Faculty of Mathematics; 2 year, 4 module)Rus
- Research Seminar "Smooth Manifolds" (Bachelor’s programme; Faculty of Mathematics; 2 year, 1-3 module)Rus
- Theory of Functions of Complex Variable (Bachelor’s programme; Faculty of Mathematics; 2 year, 3 module)Rus
Courses (2018/2019)
- Research Seminar "Geometry and Analysis in the Theory of Differential Equations 1" (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Rus
- Research Seminar "Geometry and Analysis in the Theory of Differential Equations 2" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Rus
- Research Seminar "Mechanics" (Bachelor’s programme; Faculty of Mathematics; 2 year, 4 module)Rus
- Research Seminar "Smooth Manifolds" (Bachelor’s programme; Faculty of Mathematics; 2 year, 1-3 module)Rus
- Theory of Functions of Complex Variable (Bachelor’s programme; Faculty of Mathematics; 3 year, 1, 2 module)Rus
- Theory of Functions of Complex Variable (Bachelor’s programme; Faculty of Mathematics; 2 year, 3 module)Rus
Courses (2017/2018)
- Differential Equations (Bachelor’s programme; Faculty of Mathematics; 2 year, 1, 2 module)Rus
- Mathematical Practical Training 2 (Bachelor’s programme; Faculty of Mathematics; 2 year, 1-4 module)Rus
- Mathematics Practical Training (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
- Mechanics (Bachelor’s programme; Faculty of Mathematics; 2 year, 4 module)Rus
- Research Seminar "Differential Equations and Isomonodromic Deformations 1" (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Rus
- Research Seminar "Differential Equations and Isomonodromic Deformations 2" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Rus
- Theory of Functions of Complex Variable (Bachelor’s programme; Faculty of Mathematics; 2 year, 3 module)Rus
Conferences
Publications17
- Article Helminck G. F., Poberezhny V. A., Polenkova S. V. Minimal realizations and scaling invariance of the discrete KP hierarchy and its strict version // Theoretical and Mathematical Physics. 2022. Vol. 213. No. 1. P. 1348-1361. doi
- Chapter Гонцов Р.Р., Побережный В.А. Изомонодромность локальная и глобальная // В кн.: Дифференциальные уравнения и смежные вопросы математики. Труды XIII Приокской научной конференции. Государственный социально-гуманитарный университет, 2021. Гл. 8. С. 67-84.
- Article Helminck G., Poberezhny V. A., Polenkova S. Extensions of the discrete KP hierarchy and its strict version // Theoretical and Mathematical Physics. 2020. Vol. 204. No. 3. P. 1140-1153. doi
- Article Хельминк Г. Ф., Poberezhny V. A., Поленкова С. В. Strict versions of integrable hierarchies in pseudodifference operators and related Cauchy problems // Theoretical and Mathematical Physics. 2019. Vol. 198. No. 2. P. 197-214. doi
- Article Helminck G., Poberezhny V. A., Polenkova S. A geometric construction of solutions of the strict dKP hierarchy // Journal of Geometry and Physics. 2018. Vol. 131. P. 189-203. doi
- Article Matveeva A., Poberezhny V. A. The one-dimensional Riemann problem on an elliptic curve // Mathematical notes. 2017. Vol. 101. No. 1. P. 115-122. doi
- Article Poberezhny V. A., Matveeva A. Two-dimensional Riemann problem for rigid representations on an elliptic curve // Journal of Geometry and Physics. 2017. Vol. 114. P. 384-393. doi
- Article Матвеева А. А., Побережный В. А. Одномерная проблема Римана на эллиптической кривой // Математические заметки. 2017. Т. 101. № 1. С. 91-100. doi
- Preprint Poberezhny V. A. On commutative Fuchsian systems of differential equations / ИТЭФ. Series "Препринты ИТЭФ". 2014. No. 50.14.
- Preprint Poberezhny V. A. Explicit example of family of globally non-equivalent fuchsian systems having same monodromy and asymptotics. / ИТЭФ. Series "Препринты ИТЭФ". 2013. No. 52/13.
- Article V. A. Poberezhny. On deformations of linear systems of differential equations and the Painlevé property // Journal of Mathematical Sciences. 2013. Vol. 195. No. 4. P. 533-540.
- Preprint Poberezhny V. A. On isomonodromic deformations and integrability concerning linear systems of differential equations / ИТЭФ. Series "Препринты ИТЭФ". 2013. No. 18/13.
- Preprint Poberezhny V. A. On the Schlesinger transformation of isomonodromic families over elliptic curve / ИТЭФ. Series "Препринты ИТЭФ". 2012. No. 57/12.
- Article Gontsov R., V.A. Poberezhnyi, Helminck G. On deformations of linear differential systems // Russian Mathematical Surveys. 2011. Vol. 66. No. 1. P. 63-105.
- Article V. A. Poberezhny, Helminck G. Moving poles of meromorphic linear systems on ℙ1(ℂ) in the complex plane // Theoretical and Mathematical Physics. 2010. Vol. 165. No. 3. P. 1637-1649.
- Article Vladimir Poberezhny. On the Painlevé Property of Isomonodromic Deformations of Fuchsian Systems // Acta Applicandae Mathematicae: An International Survey Journal on Applying Mathematics and Mathematical Applications. 2008. Vol. 101. No. 1-3. P. 255-263.
- Article V A Poberezhnyi, R R Gontsov. Various versions of the Riemann-Hilbert problem for linear differential equations // Russian Mathematical Surveys. 2008. Vol. 63. No. 4. P. 603-639.