Alexander Perepechko
- Associate Professor:Faculty of Computer Science / Big Data and Information Retrieval School
- Senior Research Fellow:Faculty of Computer Science / Laboratory on Algebraic Transformation Groups
- Alexander Perepechko has been at HSE University since 2019.
Education and Degrees
- 2014
Candidate of Sciences* (PhD)
- 2010
Degree in Mathematics
Lomonosov Moscow State 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.
Courses (2023/2024)
- Algebra (Bachelor’s programme; Faculty of Computer Science; 1 year, 4 module)Rus
- Past Courses
Publications13
- Article Arzhantsev I., Perepechko A., Shakhmatov K. Radiant toric varieties and unipotent group actions // Bulletin des Sciences Mathematiques. 2024. Vol. 192. Article 103419. doi
- Article Perepechko A., Regeta A. When is the automorphism group of an affine variety nested? // Transformation Groups. 2023. Vol. 28. P. 401-412. doi
- Article Perepechko A. Affine cones over cubic surfaces are flexible in codimension one // Forum Mathematicum. 2021. Vol. 33. No. 2. P. 339-348. doi
- Article Perepechko A. Automorphisms of Surfaces of Markov Type / Пер. с рус. // Mathematical notes. 2021. Vol. 110. No. 5. P. 732-737. doi
- Article Gubarev V., Perepechko A. Injective Rota–Baxter Operators of Weight Zero on F[x] // Mediterranean Journal of Mathematics. 2021. Vol. 18. Article 267. doi
- Article Перепечко А. Ю. Автоморфизмы поверхностей марковского типа // Математические заметки. 2021. Т. 110. № 5. С. 744-750. doi
- Article Perepechko A., Michałek M., Süß H. Flexible affine cones and flexible coverings // Mathematische Zeitschrift. 2018. Vol. 290. No. 3-4. P. 1457-1478. doi
- Article Богачев Н., Перепечко А.Ю. Алгоритм Винберга для гиперболических решёток // Математические заметки. 2018. Т. 103. № 5. С. 769-773. doi
- Chapter Perepechko A., Zaidenberg M., Kovalenko S. On automorphism groups of affine surfaces, in: Advanced Studies in Pure Mathematics Vol. 75: Algebraic Varieties and Automorphism Groups. Tokyo : The Mathematical Society of Japan, 2017. P. 207-286. doi
- Article Arzhantsev I., Perepechko A., Suess H. Infinite transitivity on universal torsors // Journal of London Mathematical Society. 2014. Vol. 89. No. 3. P. 762-778. doi
- Article Perepechko A. On solvability of the automorphism group of a finite-dimensional algebra // Journal of Algebra. 2014. Vol. 403. P. 445-458. doi
- Article Перепечко А. Ю. Гибкость аффинных конусов над поверхностями дель Пеццо степени 4 и 5 // Функциональный анализ и его приложения. 2013. Т. 47. № 4. С. 45-52. doi
- Article Perepechko A. Affine algebraic monoids as endomorphisms' monoids of finite-dimensional algebras // Proceedings of the American Mathematical Society. 2009. Vol. 137. P. 3227-3233. doi
Conferences
- 2019Emerging Research in Algebraic Groups, Motives, and K-Theory (Санкт-Петербург). Presentation: Nested automorphism groups
- 2018
Polynomial Rings and Affine Algebraic Geometry (Токио). Presentation: Automorphism groups of affine varieties consisting of algebraic elements
- 2017
Шестая школа-конференция "Алгебры Ли, алгебраические группы и теория инвариантов" (Москва). Presentation: Группы автоморфизмов аффинных многообразий, состоящие из алгебраических элементов
Neena Gupta Reports at the 100th HSE Seminar on Algebraic Transformation Groups
The distinguished Indian mathematician Professor Neena Gupta delivered a presentation at the celebration of the 100th seminar on algebraic transformation groups organised by the Laboratory on Algebraic Transformation Groups at the HSE Faculty of Computer Science. The seminar, which has been regularly held by the laboratory since 2020, is chaired by Ivan Arzhantsev, the head of the laboratory and dean of the HSE Faculty of Computer Science, along with senior research fellows of the laboratory Sergey Gayfullin and Alexander Perepechko.