Karine Kuyumzhiyan
- Associate Professor:Faculty of Mathematics
- Karine Kuyumzhiyan has been at HSE University since 2011.
Education and Degrees
- 2013
Candidate of Sciences* (PhD) in Mathematical Logic, Algebra and Number Theory
Institute for Information Transmission Problems (Kharkevich Institute) of the Russian Academy of Sciences - 2011
PhD
Grenoble I University - 2008
Degree
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.
Young Faculty Support Program (Group of Young Academic Professionals)
Category "New Researchers" (2014)
Courses (2023/2024)
- Algebra (Bachelor’s programme; Faculty of Mathematics; 2 year, 1, 2 module)Rus
- Algebra (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
- Past Courses
Courses (2020/2021)
- Algebra (Bachelor’s programme; Faculty of Mathematics; 2 year, 1-4 module)Rus
- Algebra (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
- Research Seminar (Postgraduate course’s programme; 3 year, 1 semester)Rus
- Research Seminar "Root Systems and their Applications" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Rus
- Геометрия (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
Courses (2018/2019)
Discrete 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
Geometry (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
- Mathematics Practical Training (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
- Research Seminar "Actual Problems of Modern Mathematics" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Rus
- Research Seminar "Advanced Linear Algebra" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Eng
- Research Seminar "Toric Varieties" (Optional course (faculty); Faculty of Mathematics; 3, 4 module)Eng
Courses (2017/2018)
- Algebra (Bachelor’s programme; Faculty of Mathematics; 2 year, 1, 2 module)Rus
- Algebra (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
- Mathematical Practical Training 2 (Bachelor’s programme; Faculty of Mathematics; 2 year, 1-4 module)Rus
- Mathematics (Bachelor’s programme; Faculty of Humanities; 1 year, 2, 3 module)Rus
- Mathematics Practical Training (Bachelor’s programme; Faculty of Mathematics; 1 year, 1-4 module)Rus
- Modern Algebra (Bachelor’s programme; Faculty of Economic Sciences; 1 year, 3, 4 module)Rus
- Modern Algebra (Bachelor’s programme; Faculty of Economic Sciences; 2 year, 3, 4 module)Rus
Publications12
- Article Kuyumzhiyan K. Infinite transitivity for Calogero-Moser spaces // Proceedings of the American Mathematical Society. 2020. No. 148. P. 3723-3731. doi
- Article Arzhantsev I., Kuyumzhiyan K., Zaidenberg M. Infinite transitivity, finite generation, and Demazure roots // Advances in Mathematics. 2019. Vol. 351. P. 1-32. doi
- Preprint Kuyumzhiyan K. Infinite transitivity for Calogero-Moser spaces / Cornell University. Series arXiv "math". 2018.
- Preprint Kuyumzhiyan K., Arzhantsev I., Zaidenberg M. Infinite transitivity, finite generation, and Demazure roots / Cornell University. Series arXiv "math". 2018.
- Chapter Fedor Bogomolov, Karzhemanov I., Karine Kuyumzhiyan. Unirationality and existence of infinitely transitive models, in: Birational geometry, rational curves, and arithmetic / Ed. by F. A. Bogomolov, B. Hasset, Y. Tschinkel. Boston : Birkhäuser, 2013. Ch. 4. P. 77-92.
- Article Kuyumzhiyan K., Arzhantsev I., Zaidenberg M. Flag varieties, toric varieties, and suspensions: Three instances of infinite transitivity // Sbornik Mathematics. 2012. Vol. 203. No. 7. P. 923-949. doi
- Article Mangolte F., Kuyumzhiyan K. Infinitely transitive actions on real affine suspensions // Journal of Pure and Applied Algebra. 2012. Vol. 216. No. 10. P. 2106-2112. doi
- Article Kuyumzhiyan K. Simple modules of classical linear groups with normal closures of maximal torus orbits // Siberian Mathematical Journal. 2012. Vol. 53. No. 6. P. 1089-1104.
- Article Bogdanov I., Kuyumzhiyan K. Simple modules of exceptional groups with normal closures of maximal torus orbits // Mathematical notes. 2012. Vol. 92. No. 3-4. P. 445-457. doi
- Preprint Bogomolov F. A., Karzhemanov I., Kuyumzhiyan K. Unirationality and existence of infinitely transitive models / Cornell University. Series math "arxiv.org". 2012. No. 1204.0862.
- Article Аржанцев И. В., Куюмжиян К. Г., Зайденберг М. Г. Многообразия флагов, торические многообразия и надстройки: три примера бесконечной транзитивности // Математический сборник. 2012. Т. 203. № 7. С. 3-30. doi
- Article Kuyumzhiyan K. Simple $SL(n)$-modules with normal closures of maximal torus orbits // Journal of Algebraic Combinatorics. 2009. No. 30(4). P. 515-538.
Conferences
- 2015Пятая школа-конференция «Алгебры Ли, алгебраические группы и теория инвариантов» (Самара). Presentation: Бесконечно транзитивные многобразия над С и над R
- 2014
School-conference "International Conference on Affine Algebraic Geometry & the Jacobian Conjecture" (Tianjin). Presentation: Infinite transitivity of Special Automorphism Group action and stabilizations
- 2013Second International Conference "Mathematics in Armenia: Advances and Perspectives" (Yerevan). Presentation: Normality of maximal torus orbits closures in simple modules of algebraic groups
- 2011Еженедельный семинар Лаборатории алгебраической геометрии и ее приложений (Москва). Presentation: Многообразия с бесконечно транзитивным действием группы специальных автоморфизмов