Alexey Ilyin
- Associate Professor:Faculty of Mathematics
- Junior Research Fellow:Faculty of Mathematics / HSE – Skoltech International Laboratory of Representation Theory and Mathematical Physics
- Alexey Ilyin has been at HSE University since 2013.
Education and Degrees
- 2020
Candidate of Sciences* (PhD)
HSE University - 2015
Master's in Mathematics
HSE University - 2013
Bachelor's
Novosibirsk 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.
Young Faculty Support Program (Group of Young Academic Professionals)
Category "New Researchers" (2020)
Courses (2023/2024)
- Lie Groups and Lie Algebras (Optional course (faculty); 1, 2 module)Rus
- Past Courses
Courses (2019/2020)
Introduction to Topology (Bachelor’s programme; Faculty of Mathematics; field of study "01.03.01. Математика", field of study "01.03.01. Математика"; 1 year, 2, 3 module)Rus
- Linear Algebra (Bachelor’s programme; Faculty of Physics; 1 year, 1, 2 module)Rus
Publications7
- Article Aleksei Ilin, Mashanova-Golikova I., Leonid Rybnikov. Spectra of Bethe subalgebras of Y(gl_n) in tame representations // Letters in Mathematical Physics. 2022. Vol. 112. No. 5. Article 99. doi
- Article Aleksei Ilin, Leonid Rybnikov. On classical limits of Bethe subalgebras in Yangians // Transformation Groups. 2021. Vol. 26. No. 2. P. 537-564. doi
- Article Aleksei Ilin, Leonid Rybnikov. Bethe Subalgebras in Yangians and the Wonderful Compactification // Communications in Mathematical Physics. 2019. Vol. 372. No. 1. P. 343-366. doi
- Article Ильин А. И. О максимальности некоторых коммутативных подалгебр Янгианов // Функциональный анализ и его приложения. 2019. Т. 53. № 4. С. 85-88. doi
- Article Aleksei Ilin, Rybnikov L. G. Degeneration of Bethe subalgebras in the Yangian of $gl_n$ // Letters in Mathematical Physics. 2018. Vol. 108. No. 4. P. 1083-1107. doi
- Preprint Aleksei Ilin, Leonid Rybnikov. Degeneration of Bethe subalgebras in the Yangian of $gl_n$ / Cornell University. Series arXiv:1703.04147 "Series math "arxiv.org"". 2017.
- Article Чуркин В. А., Ильин А. И. О случайном выборе эллиптических и гиперболических поворотов лоренцевых пространств // Сибирские электронные математические известия. 2016. Т. 13. С. 955-971. doi
Conferences
- 2019Integrable systems and Representation theory (Цюрих). Presentation: Commutative Bethe subalgebras in the Yangians
- Integrable systems and Representation theory (Цюрих). Presentation: Commutative Bethe subalgebras in the Yangians
- 2018Interactions of quantum affine algebras with cluster algebras, current algebras and categorification (Вашингтон). Presentation: Degeneration of Bethe subalgebra in the Yangians
- 2017Algebraic Analysis and Representation Theory – In honor of Professor Masaki Kashiwara’s 70th Birthday (Киото). Presentation: Degeneration of Bethe subalgebras in the Yangian Y(gl_n)
- 2016International Conference on Integrable Systems and Quantum symmetries (Прага). Presentation: Degeneration of Bethe subalgebras in the Yangian
- 20155 школа-конфренция "Алгебры Ли, алгебраические группы и теория инвариантов" (Самара). Presentation: О пределах подалгебр Бете в янгиане
- 201351-я международная научная студенческая конференция "Студент и научно-технический прогресс" (Новосибирск). Presentation: О случайном выборе эллиптических и гиперболических поворотов лоренцевых пространств
- Современные проблемы математики, 44-я Всероссийская молодежная школа-конференция (Екатеринбург). Presentation: Сравнение множеств эллиптичесих поворотов и гиперболических трансляций по объёму