Alexey Basalaev
- Assistant Professor:Faculty of Mathematics
- Alexey Basalaev has been at HSE University since 2011.
Education and Degrees
- 2017
Candidate of Sciences* (PhD)
Institute for Information Transmission Problems (Kharkevich Institute) of the Russian Academy of Sciences - 2014
PhD
Leibniz University Hannover - 2012
Master's in Mathematics
HSE University - 2007
Degree in Mathematics
Lomonosov Moscow State University
* Candidate of Sciences
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.
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)
- Hamiltonian Mechanics (Optional course (faculty); 1, 2 module)Rus
- Smooth Manifolds (Bachelor’s programme; Faculty of Mathematics; 3 year, 1-4 module)Rus
- Smooth Manifolds (Bachelor’s programme; Faculty of Mathematics; 2 year, 1-4 module)Rus
- Topological Theories of Simple Singularities (Optional course (faculty); 3, 4 module)Rus
- Past Courses
Courses (2022/2023)
- Geometry (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
- Hamiltonian Mechanics (Optional course (faculty); 1, 2 module)Rus
- Research Seminar "Smooth Manifolds" (Bachelor’s programme; Faculty of Mathematics; 4 year, 1-4 module)Rus
- Research Seminar "Smooth Manifolds" (Bachelor’s programme; Faculty of Mathematics; 2 year, 1-4 module)Rus
Courses (2021/2022)
- Discrete Mathematics (Bachelor’s programme; Faculty of Mathematics; 1 year, 1 module)Rus
- Geometry (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 "Dubrovin-Frobenius Manifolds" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Rus
- Research Seminar "Smooth Manifolds" (Bachelor’s programme; Faculty of Mathematics; 2 year, 1, 2 module)Rus
Courses (2020/2021)
- Discrete Mathematics (Bachelor’s programme; Faculty of Mathematics; 1 year, 1 module)Rus
- Graphs and Topology (Minor; Faculty of Mathematics; 3, 4 module)Rus
- Hamiltonian Mechanics (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Rus
- Research Seminar "Introduction to Frobenius Algebras and Mirror Symmetry" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Eng
- Геометрия (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
Courses (2019/2020)
- Discrete Mathematics (Bachelor’s programme; Faculty of Mathematics; 1 year, 1, 4 module)Rus
- Geometry (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
- Graphs and Topology (Minor; Faculty of Mathematics; 3, 4 module)Rus
- Hamiltonian Mechanics (Optional course (faculty); Faculty of Mathematics; 1, 2 module)Eng
- Research Seminar "Introduction to Frobenius Algebras and Mirror Symmetry" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Eng
- Research Seminar "Mathematics Practical Training" (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
Courses (2018/2019)
- Algebra (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
- Calculus (Bachelor’s programme; Faculty of Physics; 1 year, 1-4 module)Rus
- Graphs and Topology (Minor; Faculty of Mathematics; 3, 4 module)Rus
Publications19
- Article Basalaev A., Ionov A. Hodge Diamonds of the Landau-Ginzburg Orbifolds // Symmetry, Integrability and Geometry: Methods and Applications (SIGMA). 2024. Vol. 20. Article 024. doi
- Article Basalaev A. 6-dimensional FJRW theories of the simple–elliptic singularities // ASIAN JOURNAL OF MATHEMATICS. 2023. Vol. 26. No. 1. P. 45-80. doi
- Article Alexandrov A., Basalaev A., Buryak A. A Construction of Open Descendant Potentials in All Genera // International Mathematics Research Notices. 2023. Vol. 2023. No. 17. P. 14840-14889. doi
- Article Basalaev A., Takahashi A., Werner E. Orbifold Jacobian algebras for invertible polynomials // Journal of Singularities. 2023. Vol. 26. P. 92-127. doi
- Article Basalaev A., Ionov A. Hochschild cohomology of Fermat type polynomials with non–abelian symmetries // Journal of Geometry and Physics. 2022. Vol. 174. Article 104450. doi
- Article Basalaev A. Integrable systems associated to open extensions of type A and D Dubrovin–Frobenius manifolds // Journal of Physics A: Mathematical and Theoretical. 2022. Vol. 55. No. 29. Article 295202. doi
- Article Basalaev A., Takahashi A. Mirror Symmetry for a Cusp Polynomial Landau–Ginzburg Orbifold // International Mathematics Research Notices. 2022. Vol. 2022. No. 19. P. 14865-14922. doi
- Article Basalaev A., Hertling C. 3-dimensional F-manifolds // Letters in Mathematical Physics. 2021. Vol. 111. No. 4. Article 90. doi
- Article Basalaev A., Dunin-Barkowski P., Natanzon S. M. Integrable hierarchies associated to infinite families of Frobenius manifolds // Journal of Physics A: Mathematical and Theoretical. 2021. Vol. 54. No. 11. P. 1-25. doi
- Article Basalaev A., Ionov A. Mirror map for Fermat polynomials with a nonabelian group of symmetries // Theoretical and Mathematical Physics. 2021. Vol. 209. No. 2. P. 1491-1506. doi
- Article Basalaev A., Buryak A. Open Saito theory for A and D singularities // International Mathematics Research Notices. 2021. Vol. 2021. No. 7. P. 5460-5491. doi
- Article Basalaev A., Takahashi A. Hochschild cohomology and orbifold Jacobian algebras associated to invertible polynomials // Journal of Noncommutative Geometry. 2020. Vol. 14. No. 3. P. 861-877. doi
- Article Basalaev A., Buryak A. Open WDVV equations and Virasoro constraints // Arnold Mathematical Journal. 2019. Vol. 5. No. 2-3. P. 145-186. doi
- Article Basalaev A., Priddis N. Givental–type reconstruction at a non–semisimple point // Michigan Mathematical Journal. 2018. Vol. 67. No. 2. P. 333-369. doi
- Article Basalaev A. On rational Frobenius manifolds of rank three with symmetries // Journal of Geometry and Physics. 2018. Vol. 2014. No. 84. P. 73-86. doi
- Article Basalaev A. SL(2,C) group action on Cohomological field theories // Letters in Mathematical Physics. 2018. Vol. 108. No. 1. P. 161-183. doi
- Article Basalaev A., Takahashi A., Werner E. Orbifold Jacobian algebras for exceptional unimodal singularities // Arnold Mathematical Journal. 2017. Vol. 3. No. 4. P. 483-498. doi
- Article Basalaev A. SL(2,C) action on cohomological field theories and Gromov–Witten theory of elliptic orbifolds // Oberwolfach Reports. 2015. Vol. 12. No. 2. P. 1-2. doi
- Article Basalaev A. Orbifold GW theory as the Hurwitz-Frobenius submanifold // Journal of Geometry and Physics. 2014. Vol. 77. P. 30-42. doi
Conferences
- 2023Семинар по интегрируемым системам (Ярославль). Presentation: Integrable systems associated to infinite families of Dubrovin-Frobenius manifolds
- Семинар Центра перспективных исследований им. И.М. Кричевера (Москва). Presentation: Connecting different formulations of mirror symmetry
- Характеристические классы и теория пересечений. Presentation: Ромбы Ходжа орбифолдов Ландау – Гинзбурга
- Geometry days (Новосибирск). Presentation: Ромбы Ходжа орбифолдов Ландау – Гинзбурга
- Интегрируемые системы и их приложения. Presentation: Integrable systems of the B-type Dubrovin-Frobenius manifolds
- Инвариантность и интегрируемость (Репино). Presentation: Иерархия BKP и интегрируемые системы типа D
- Integrable systems seminar. Presentation: Integrable systems of A,D and B type Dubrovin–Frobenius manifolds
- 2022Dynamics in Siberia 28.02.2022 - 5.03.2022 Российская Федерация, Новосибирск (Новосибирск). Presentation: Двойственность Берглунда-Хубша и странная двойственность Арнольда
- Categorical Invariants and Higher Theory (Берлин). Presentation: On Saito primitive forms in homological algebra context
- Geometry days (Новосибирск). Presentation: Алгебра Баталина-Вилковиского особенности
- Края особенностей (Вороново). Presentation: Зеркальная симметрия в теории особенностей
- 2021Dynamics in Siberia (Новосибирск). Presentation: Integrable hierarchies associated to infinite families of Frobenius manifolds
- Еженедельный семинар международной лаборатории кластерной геометрии факультета математики НИУ ВШЭ (Москва). Presentation: «Интегрируемые системы бесконечных семейств фробениусовых многообразий»
- Международная конференция «Классические и квантовые интегрируемые системы» (Сочи). Presentation: Интегрируемые иерархии, ассоциированные с бесконечными семействами многообразий Фробениуса
- Geometry days (Новосибирск). Presentation: Зеркальное отображение в моделях Ландау-Гинзбург
- 2020Integrable Systems and Automorphic Forms (Сочи). Presentation: Тэта-константы и зеркальная симметрия для простых эллиптических особенностей
- The moduli spaces seminar (Melbourn). Presentation: FJRW theories of simple-elliptic singularities
- 2019
Open WDVV equations and manifolds with multiplication (Лидс). Presentation: Open WDVV equations and manifolds with multiplication
- Mirror Symmetry and Related Topics (Киото). Presentation: Opposite ltrations in mirror symmetry for toric varieties
- 20186th Workshop on Combinatorics of Moduli Spaces, Cluster Algebras, and Topological Recursion (Москва). Presentation: Givental-type reconstruction at a non-semisimple point
- 2015Mirror Symmetry, Hodge Theory and Differential Equations (Oberwolfach). Presentation: SL(2,C) action on Cohomological field theories
- 20144th Workshop on Combinatorics of Moduli Spaces, Cluster Algebras, and Topological Recursion (Москва (Moscow)). Presentation: Primitive form for orbifolded LG B-model
- Symposium on singularities and their topology (Hannover). Presentation: Mirror symmetry for the singularities with a group action
- 2012Combinatorics of moduli spaces, cluster algebras, knots, and topological recursion (Москва). Presentation: Primitive form for the orbifolded LG B-model
Employment history
2021 - u.n. Research Fellow, International Laboratory of Cluster Geometry, HSE University
2019 - u.n. Assistant Professor, Faculty of Mathematics, HSE University
2018 – 2019. Postdoc at Skoltech, Moscow.
2017 – 2018. Postdoc in Heidelberg University.
2015-2017. Postdoc in Mannheim University, Lehrstuhl VI, working in the French-German project SISYPH.
2014-2015. Postdoc in GRK1463, Hannover University, Institute of algebraic geometry.
HSE Researchers Receive Grants in Russian Science Foundation Competitions
The Russian Science Foundation announced the results of its 2019 competitions for support from the Presidential Research Project Programme. One competition was for grants in support of research initiatives by early career researchers, and another was in support of research conducted by research groups headed by early career scholars.