Anton Zabrodin
- Professor:Faculty of Mathematics
- Anton Zabrodin has been at HSE University since 2011.
Education and Degrees
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.
A post-doctoral degree called Doctor of Sciences is given to reflect second advanced research qualifications or higher doctorates in ISCED 2011.
Research interests
Theory of Integrable systems, integrable models of classical and quantum physics, theory of random matrices and its applications, conformal field theory, mathematical models of growth processes and pattern formation
Courses (2022/2023)
Applied Analysis (Master’s programme; Faculty of Mathematics; field of study "01.04.01. Математика", field of study "01.04.01. Математика", field of study "01.04.01. Математика"; 1 year, 1, 2 module)Rus
- Applied Analysis (Optional course (faculty); 1, 2 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 (2019/2020)
- 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 (2018/2019)
- 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)
Conferences
- 2021Международная конференция «Интегрируемость», посвященная 75-летию А. К. Погребкова (Москва). Presentation: Field analog of the Ruijsenaars-Schneider model from elliptic families of solutions to the 2D Toda lattice
- 2018Классические и квантовые интегрируемые системы (Протвино). Presentation: Спиновое обобщение иерархии Калоджеро-Мозера и матричная иерархия КП
- 2016
Classical and quantum integrable systems and supersymmetry (Тянцзинь). Presentation: Supersymmetric quantum spin chains and classical integrable models
- 20144th Workshop on Combinatorics of Moduli Spaces, Cluster Algebras, and Topological Recursion (Москва (Moscow)). Presentation: Dispersionless DKP hierarchy and elliptic Loewner equation
- Infinite Analysis 14, New perspectives in integrable systems and representation theory (Токио). Presentation: Classical tau-function for quantum integrable models
- Международная конференция "Физика и математика нелинейных явлений" (Галлиполи). Presentation: "Бездисперсионная иерархия DKP и эллиптическое уравнение Левнера"
- 2013Synthesis of integrabilities in the context of duality between the string theory and gauge theories (Москва). Presentation: Quantum transfer matrices and classical tau-functions
- 2nd International Workshop on Nonlinear and Modern Mathematical Physics (Tampa). Presentation: Growth problems of Laplacian type and Hurwitz numbers
- Physics and Mathematics of Nonlinear Phenomena (Галлиполи). Presentation: Bethe ansatz and Hirota equation in integrable models
- Nonlinear Mathematical Physica and Natural Hazards (София). Presentation: Spectra of integrable quantum magnets via classical many-body systems
Publications66
- Article I. Krichever, A. Zabrodin. Constrained Toda hierarchy and turning points of the Ruijsenaars–Schneider model // Letters in Mathematical Physics. 2022. Vol. 112. No. 2. Article 23. doi
- Article Takebe T., Zabrodin A. Dispersionless version of the constrained Toda hierarchy and symmetric radial Löwner equation // Letters in Mathematical Physics. 2022. Vol. 112. P. 1-27. doi (in press)
- Preprint Takebe T., Zabrodin A. Dispersionless version of the constrained Toda hierarchy and symmetric radial Löwner equation / Cornell University. Series arXiv "math". 2022. No. 2204.04406. doi (in press)
- Article Wiegmann P., A Zabrodin. Dyson gas on a curved contour // Journal of Physics A: Mathematical and Theoretical. 2022. Vol. 55. No. 16. Article 165202. doi
- Article Zabrodin A., Zotov A. Field analogue of the Ruijsenaars-Schneider model // Journal of High Energy Physics. 2022. No. 7. Article 23. doi
- Article Prokofev V., Zabrodin A. ELLIPTIC SOLUTIONS OF THE TODA LATTICE HIERARCHY AND THE ELLIPTIC RUIJSENAARS-SCHNEIDER MODEL // Theoretical and Mathematical Physics. 2021. Vol. 208. No. 2. P. 1093-1115. doi
- Article Prokofev V., Zabrodin A. Elliptic solutions to the KP hierarchy and elliptic Calogero–Moser model // Journal of Physics A: Mathematical and Theoretical. 2021. Vol. 54. No. 30. Article 305202. doi
- Article Krichever I. M., Zabrodin A. Kadomtsev–Petviashvili Turning Points and CKP Hierarchy // Communications in Mathematical Physics. 2021. Vol. 386. No. 3. P. 1643-1683. doi
- Article Akhmedova V., Takebe T., Zabrodin A. Löwner equations and reductions of dispersionless hierarchies // Journal of Geometry and Physics. 2021. Vol. 162. Article 104100. doi
- Article Руднева Д., Zabrodin A. Dynamics of poles of elliptic solutions to the BKP equation // Journal of Physics A: Mathematical and Theoretical. 2020. Vol. 53. No. 7. P. 075202. doi
- Article Rudneva D., Zabrodin A. Dynamics of poles of elliptic solutions to the BKP equation // Journal of Physics A: Mathematical and Theoretical. 2020. Vol. 53. Article 075202. doi
- Preprint Akhmedova V., Takebe T., Zabrodin A. Loewner equations and reductions of dispersionless hierarchies / Cornell University. Series arXiv "math". 2020. No. 2010.02277. (in press)
- Article Vasilyev M, Zabrodin A., Zotov A. Quantum-classical correspondence for gl(1|1) supersymmetric Gaudin magnet with boundary // Journal of Physics A: Mathematical and Theoretical. 2020. Vol. 53. No. 49. Article 494002. doi
- Article Васильев М., Zabrodin A., Zotov A. Quantum-classical duality for Gaudin magnets with boundary // Nuclear Physics B - Proceedings Supplements. 2020. Vol. 952 . No. 114931. P. 1-20. doi
- Article Slavnov N. A., Zabrodin A., Zotov A. Scalar products of Bethe vectors in the 8-vertex model // Journal of High Energy Physics. 2020. No. 6. P. 123. doi
- Article Zabrodin A. Elliptic solutions to integrable nonlinear equations and many-body systems // Journal of Geometry and Physics. 2019. Vol. 146. No. 103506 doi
- Article Zabrodin A. Matrix modified Kadomtsev-Petviashvili hierarchy // Theoretical and Mathematical Physics. 2019. Vol. 199. No. 3. P. 771-783. doi
- Article Grekov A., A. Zabrodin, A. Zotov. Supersymmetric extension of qKZ-Ruijsenaars correspondence // Nuclear Physics B. 2019. Vol. 939. P. 174-190. doi
- Article Zabrodin A. Time discretization of the spin Calogero-Moser model and the semi-discrete matrix KP hierarchy // Journal of Mathematical Physics. 2019. Vol. 60. P. 033502-1-033502-14. doi
- Article Zabrodin A., Prokofev V. Toda lattice hierarchy and trigonometric Ruijsenaars-Schneider hierarchy // Journal of Physics A: Mathematical and Theoretical. 2019. Vol. 52. Article 495202. doi
- Article A. Zabrodin, A. Zotov. Self-dual form of Ruijsenaars–Schneider models and ILW equation with discrete Laplacian // Nuclear Physics B. 2018. Vol. 927. P. 550-565. doi
- Article Pashkov V., Zabrodin A. Spin generalization of the Calogero-Moser hierarchy and the matrix KP hierarchy // Journal of Physics A: Mathematical and Theoretical. 2018. Vol. 51. No. 215201. P. 01-17. doi
- Article A.V.Zabrodin, Zotov A. V., Liashyk A., D.S.Rudneva. Asymmetric six-vertex model and the classical Ruijsenaars–Schneider system of particles // Theoretical and Mathematical Physics. 2017. Vol. 192. No. 2. P. 1141-1153. doi
- Article Zabrodin A., Zotov A. KZ-Calogero correspondence revisited // Journal of Physics A: Mathematical and Theoretical. 2017. Vol. 50. No. 20. P. 1-12. doi
- Article Akhmedova V, Takebe T, Zabrodin A. Multi-variable reductions of the dispersionless DKP hierarchy // Journal of Physics A: Mathematical and Theoretical. 2017. Vol. 50. No. 48. P. 1-23. doi
- Preprint Takebe T., Akhmedova V., Zabrodin A. Multi-variable reductions of the dispersionless DKP hierarchy / Cornell University. Series arXiv "math-ph". 2017. No. 1707.01528.
- Article A. Zabrodin, Zotov A. QKZ-Ruijsenaars correspondence revisited // Nuclear Physics B. 2017. Vol. B922. P. 113-125. doi
- Article Забродин А. В., Зотов А., Ляшик А. Н., Руднева Д. С. Асимметричная шестивершинная модель и классическая система частиц Рейсенарса–Шнайдера // Теоретическая и математическая физика. 2017. Т. 192. С. 235-249. doi
- Article Akhmedova V., Zabrodin A. Dispersionless Pfaff-Toda hierarchy and elliptic L¨owner equation // Journal of Mathematical Physics. 2016. Vol. 57. P. 093507-1-093507-9. doi
- Article S.M.Natanzon, A.V.Zabrodin. Formal solutions to the KP hierarchy // Journal of Physics A: Mathematical and Theoretical. 2016. Vol. 49. No. 14-22. doi
- Article Kharchev S., Zabrodin A. Theta vocabulary II. Multidimensional case // Journal of Geometry and Physics. 2016. Vol. 104. P. 112-120.
- Article Beketov M., Liashyk A., Zabrodin A., Zotov A. Trigonometric version of quantum–classical duality in integrable systems // Nuclear Physics B. 2016. Vol. 903. P. 150-163. doi
- Article Beketov M., Lyashik A., Zabrodin A., Zotov A. Trigonometric version of quantum–classical duality in integrable systems // Nuclear Physics B. 2016. Vol. 903. P. 150-163. doi
- Article Zabrodin A., Zotov A. Classical-Quantum Correspondence and Functional Relations for Painlevé Equations // Constructive Approximation. 2015. Vol. 41. No. 3. P. 385-423. doi
- Article Tsuboi Z., Zabrodin A., Zotov A. Supersymmetric quantum spin chains and classical integrable systems // Journal of High Energy Physics. 2015. Vol. 2015. No. 5, Article number 86 doi
- Article Natanzon S. M., Zabrodin A. Symmetric solutions to dispersionless 2D Toda hierarchy, Hurwitz numbers and conformal dynamics // International Mathematics Research Notices. 2015. Vol. 2015. No. 8. P. 2082-2110. doi
- Article Kharchev S., Zabrodin A. Theta vocabulary I // Journal of Geometry and Physics. 2015. Vol. 94. P. 19-31. doi
- Article Zabrodin A., Akhmedova V. Эллиптическая параметризация пфаффовых интегрируемых иерархий в пределе нулевой дисперсии // Theoretical and Mathematical Physics. 2015. Vol. 185. P. 410-422. doi
- Article Akhmedova V., Zabrodin A. Dispersionless DKP hierarchy and elliptic Lowner equation // Journal of Physics A: Mathematical and Theoretical. 2014. Vol. 47. P. 11 -13. doi
- Article Zabrodin A. Quantum Gaudin model and classical KP hierarchy // Journal of Physics: Conference Series. 2014. Vol. 482. No. 012047. P. 10. doi
- Article Gorsky A., Zabrodin A., Zotov A. Spectrum of quantum transfer matrices via classical many-body systems // Journal of High Energy Physics. 2014. No. 01. P. 070,28. doi
- Article Zabrodin A. The master T-operator for inhomogeneous XXX spin chain and mKP hierarchy // Symmetry, Integrability and Geometry: Methods and Applications (SIGMA). 2014. Vol. 10. No. 006. P. 18. doi
- Article Zabrodin A., Alexandrov A., Leurent S., Tsuboi Z. The master T-operator for the Gaudin model and KP hierarchy. // Nuclear Physics B. 2014. Vol. 883 . No. . P. 173-223.
- Article Zabrodin A., Alexandrov A., Kazakov V., Leurent S., Tsuboi Z. Classical tau-function for quantum spin chains // Journal of High Energy Physics. 2013. Vol. 09. P. 064. doi
- Article Zabrodin A., Alexandrov A. Free fermions and tau-functions // Journal of Geometry and Physics. 2013. Vol. 67. P. 37-80. doi
- Article Zabrodin A. Hirota equation and Bethe ansatz in integrable models// Уравнение Хироты и анзац Бете в интегрируемых моделях / Пер. с рус.: T. Takebe. // (Mathematical Sciences. 2013. No. 596. P. 7-12.
- Article Zabrodin A. Laplacian growth in a channel and Hurwitz numbers // Journal of Physics A: Mathematical and Theoretical. 2013. Vol. 46. No. 18. P. 185203. doi
- Article Zabrodin A. Symmetric solutions of the dispersionless Toda hierarchy and associated conformal dynamics // Journal of Nonlinear Mathematical Physics. 2013. No. 1562. P. 203-222.
- Article Забродин А. В. Управляющий T-оператор для вершинных моделей с тригонометрическими // Теоретическая и математическая физика. 2013. Т. 174. № 1. С. 59-76.
- Article Zabrodin A., Zotov A. Quantum Painlevé-Calogero correspondence // Journal of Mathematical Physics. 2012. Vol. 53. No. 7. P. 073507-1-073507-19. doi
- Article Zabrodin A., Zotov A. Quantum Painlevé-Calogero correspondence for Painlevé VI // Journal of Mathematical Physics. 2012. Vol. 53. No. 7. P. 073508-1-073508-19. doi
- Preprint Zabrodin A. The master T-operator for vertex models with trigonometric R-matrices as classical tau-function / ИТЭФ. Series "ITEP-TH-17/12". 2012. No. 17.
- Article Zabrodin A. Intertwining operators for Sklyanin algebra and elliptic hypergeometric series // Journal of Geometry and Physics. 2011. Vol. 61. P. 1733-1754.
- Chapter Zabrodin A. Laplacian Growth, in: The Oxford Handbook on Random Matrix Theory. Oxford : Oxford University Press, 2011.
- Chapter Zabrodin A. Random matrices and Laplacian Growth, in: The Oxford Handbook of Random Matrix Theory. Oxford : Oxford University Press, 2011.
- Article Zabrodin A., Vasiliev D. Self-simlar solutions of Laplacian growth problem in the half plane // Theoretical and Mathematical Physics. 2011. Vol. 166. P. 28-43.
- Article Zabrodin A. Canonical and grand canonical partion functions of Dyson gases as tau-functions of integrable hierarchies and their fermionic realization // Complex Analysis and Operator Theory. 2010. No. 4. P. 497-514.
- Article Zabrodin A. Growth of fat slits and dispersionless KP hierarchy // Journal of Physics A: Mathematical and Theoretical. 2009. No. 42
- Article Zabrodin A., Mineev-Weinstein M., Abanov A. Multi-cut solutions of Laplacian growth // Physica D: Nonlinear Phenomena. 2009. No. 238. P. 1787-1796.
- Article Zabrodin A. Backlund transformations for difference Hirota equation and sypersymmetric Bethe ansatz // Theoretical and Mathematical Physics. 2008. No. 155. P. 567-584.
- Article Zabrodin A., Kazakov V., Sorin A. Supersymmetric Bethe ansatz nad Baxter equations from discrete Hirota dynamics // Nuclear Physics B. 2008. No. 790. P. 345-413.
- Article Zabrodin A. Crowth process related to the dispersionnless Lax equations // Physica D: Nonlinear Phenomena. 2007. No. 235. P. 101-108.
- Article Mineev-Weinstein M., Abanov A., Zabrodin A. Self-similarity in Laplacian growth // Physica D: Nonlinear Phenomena. 2007. No. 235. P. 62-71.
- Article Zabrodin A., Takebe T., Teo L. P. L\"owner equations and dispersionless hierarchies // Journal of Physics A: Mathematical and Theoretical. 2006. Vol. 39. P. 11479-11501.
- Article Zabrodin A., Wiegmann P. Large N expansion for the 2D Deson gas // Journal of Physics A: Mathematical and Theoretical. 2006. No. 39. P. 8933-8963.
- Article Забродин А. В. Matrix models and growth processes: from viscous flows to the quantum Hall effect // Springer Proceedings in Mathematics & Statistics. 2006. С. 261-318.
First PhD at HSE Received under New Procedure
On May 22, the first thesis for an HSE PhD degree was defended. Following the new procedure, mathematician Pavlo Gavrylenko defended his thesis on isomonodromic deformations and quantum theory. This took place not before a big dissertation council, but a committee of experts in this particular field of mathematical physics.
'I Have Been Happy from the First Moment'
Takashi Takebe is a Research Fellow at the International Laboratory of Representation Theory and Mathematical Physics and Professor at the Faculty of Mathematics. He has been at HSE since 2009. He is a PhD in Mathematics from the University of Tokyo. He spoke to HSE News in English service about the unpredictability of life for international academics in Moscow, about teaching mathematics to Russians, the problems of language and cycling tours.
‘The Programme is Unique not Only for Russia, but also for the Best Universities of the World’
Sergey Lando, Dean of the HSE Faculty of Mathematics and Head of the master’s programme in Mathematics, told us about some innovations in the Faculty’s master’s courses.