Boris Bychkov
- Associate Professor:Faculty of Mathematics / Department of Mathematical Education
- Boris Bychkov has been at HSE University since 2011.
Education and Degrees
- 2015
Candidate of Sciences* (PhD)
- 2008
Degree in Pure math
Lomonosov Moscow State University, mechanics and mathemtics Doctoral programme
HSE University
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.
Young Faculty Support Programme (Group of Young Academic Professionals)
Category "New Researchers" (2016)
Courses (2023/2024)
- Introduction to Enumerative Combinatorics (Minor; 3, 4 module)Rus
- Introduction to Topological Recursion (Optional course (faculty); 1, 2 module)Eng
- Research Seminar "Combinatorics of Invariants 1" (Optional course (faculty); 1, 2 module)Eng
- Research Seminar "Combinatorics of Invariants 2" (Master’s programme; Faculty of Mathematics; 2 year, 3, 4 module)Eng
- Research Seminar "Combinatorics of Invariants 2" (Optional course (faculty); 3, 4 module)Eng
- Past Courses
Courses (2021/2022)
- Geometry (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
- Theory of Complex Functions (Bachelor’s programme; Faculty of Mathematics; 2 year, 3, 4 module)Rus
Courses (2020/2021)
- Geometry (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
- Graphs on Surfaces (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Rus
- Introduction to Number Theory (Bachelor’s programme; Faculty of Mathematics; 2 year, 1, 2 module)Rus
- Introduction to Topology (Bachelor’s programme; Faculty of Mathematics; 1 year, 2-4 module)Rus
- Mathematics. Licenciatus (Bachelor’s programme; Faculty of Mathematics; 3 year, 4 module)Rus
- Research Seminar "Hurwitz Numbers" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Rus
Research Seminar "Trivium. Mathematics" (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
Courses (2019/2020)
- Geometry (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
- Introduction to Number Theory (Bachelor’s programme; Faculty of Mathematics; 2 year, 3, 4 module)Rus
- Introduction to Number Theory (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Rus
Dissertation for a degree of Candidate of Science
B. Bychkov Стратификация пространств функций на комплексных кривых
Publications14
- Article B. Bychkov, V. Gorbounov, Kazakov A., Talalaev D. Electrical Networks, Lagrangian Grassmannians, and Symplectic Groups // Moscow Mathematical Journal. 2023. Vol. 23. No. 2. P. 133-167. doi
- Article Bychkov B., Dunin-Barkowski P., Kazaryan M., Shadrin S. Generalised Ordinary vs Fully Simple Duality for n-Point Functions and a Proof of the Borot–Garcia-Failde Conjecture. // Communications in Mathematical Physics. 2023. Vol. 402. P. 665-694. doi
- Article Boris Bychkov, Petr Dunin-Barkowski, Maxim Kazarian, Shadrin S. Explicit closed algebraic formulas for Orlov–Scherbin n-point functions // Journal de l'Ecole Polytechnique - Mathematiques. 2022. Vol. 9. P. 1121-1158. doi
- Article Bychkov B., Kazakov A., Talalaev D. Functional Relations on Anisotropic Potts Models: from Biggs Formula to the Tetrahedron Equation // Symmetry, Integrability and Geometry: Methods and Applications (SIGMA). 2021. Vol. 17. Article 35. doi
- Article Bychkov B., Shabat G. B. ON GENERALIZATIONS OF CHEBYSHEV POLYNOMIALS AND CATALAN NUMBERS // Ufa Mathematical Journal. 2021. Vol. 13. No. 2. P. 8-14. doi
- Article Bychkov B., Dunin-Barkowski P., Shadrin S. Combinatorics of Bousquet-Mélou-Schaeffer numbers in the light of topological recursion // European Journal of Combinatorics. 2020. Vol. 90. P. 103184. doi
- Article Артисевич А. Е., Бычков Б. С., Шабат А. Б. Многочлены Чебышёва, числа Каталана и трехдиагональные матрицы // Теоретическая и математическая физика. 2020. Т. 204. № 1. С. 3-9. doi
- Article Бычков Б. С., Михайлов А. В. Полиномиальные инварианты графов и иерархии линейных уравнений // Успехи математических наук. 2019. Т. 74. № 2. С. 189-190. doi
- Article Бычков Б. С. Степени когомологических стратов мультиособенностей в пространствах Гурвица рациональных функций // Функциональный анализ и его приложения. 2019. Т. 53. № 1. С. 16-30. doi
- Article Бычков Б. С. О разложениях циклической перестановки в произведение данного числа перестановок // Функциональный анализ и его приложения. 2015. Т. 49. № 2. С. 1-6.
- Preprint Bychkov B. On the number of coverings of the sphere ramified over given points / Cornell University. Series math "arxiv.org". 2013.
- Article Бычков Б. С., Дремов В., Епифанов Е. Вычисления пар Белого шестирёберных рисунков рода 3 с группой автоморфизмов порядка 2 // Фундаментальная и прикладная математика. 2013. Т. 18. № 6. С. 77-89.
- Article Бычков Б. С., Дрёмов В., Епифанов Е. Вычисления пар Белого шестирёберных рисунков рода 3 с группами автоморфизмов порядков 12 и 3 // Фундаментальная и прикладная математика. 2007. Т. 13. № 6. С. 137-148.
Conferences
- 20217th Workshop on Combinatorics of Moduli Spaces, Cluster Algebras and Topological Re-cursion (Москва). Presentation: Topological recursion for hypergeometric KP/generalized Hurwitz n-point functions
- IV международная конференция «Группы и квандлы в маломерной топологии» (Новосибирск). Presentation: «Топологическая рекурсия для карт и пополненных простых карт»
- Workshop on Classical and Quantum Integrable Systems (CQIS 2021) (Сочи). Presentation: Topological recursion for KP tau functions of hypergeometric type
- Конференция международных математических центров мирового уровня (Сочи). Presentation: Electrical networks and Lagrangian Grassmanians
- 3rd International Conference on Integrable Systems and Nonlinear Dynamics (Ярославль). Presentation: Electrical networks and Lagrangian Grassmanians
- 20202nd International Conference on Integrable Systems and Nonlinear Dynamics (ISND 2020) (Ярославль). Presentation: Star-triangle transformation of the Potts model partition function as a solution for the tetrahedron equation and related combinatorial topics
- 2019
Mathematical Sciences Departmental Seminar (Колчестер). Presentation: Hurwitz numbers and integrable hierarchies
- 2018Центр интегрируемых систем (Ярославль). Presentation: Алгебра для производящих рядов двойных чисел Гурвица
- Интегрируемые системы и нелинейная динамика (Ярославль). Presentation: Полиномиальные инварианты графов и линейные иерархии
- 2017Quantum information and topological recursion (Москва). Presentation: Degrees of strata of Hurwitz spaces
- Summer School in Enumerative Geometry (Триест). Presentation: Degrees of strata of Hurwitz spaces
- Kezenoi-am 2017 (Грозный). Presentation: Quasi-polynomiality of Bousquet-Melou-Schaeffer numbers
- Several Complex Variables (Красноярск). Presentation: Degrees of strata of Hurwitz spaces
- 2016
Classical and quantum integrable systems and supersymmetry (Тянцзинь). Presentation: Degrees of the strata of Hurwitz spaces
- 2015Пятая школа-конференция по алгебраической геометрии и комплексному анализу для молодых математиков России (Коряжма, Архангельская область). Presentation: Степени когомологических классов на стратах дискриминанта пространства Гурвица
- 2014Primitive forms and related subjects (柏市 (Kashiwa)). Presentation: On the number of coverings of the sphere ramified over given points
- Graduate workshop on Moduli of curves (Stony Brook). Presentation: On the geomtery of decompositionof the cyclic permutation into the product of a given number of permutations
- 2010International Workshop "Classical and quantum integrable systems and supersymmetry" (Тяньцзинь). Presentation: Degrees of the stratum of Hurwitz spaces