Anton Ayzenberg
- Visiting Lecturer:Faculty of Computer Science / Big Data and Information Retrieval School
- Anton Ayzenberg has been at HSE University since 2024.
Responsibilities
Fighting against HSE bureaucracy.
Attempts to make something good in science and be appreciated for this.
Work with students and PhD students.
Education and Degrees
- 2012
Candidate of Sciences* (PhD) in Geometry and topology
Moscow State University
Thesis Title: The theory of nerve complexes and its applications - 2009
Degree in Mathematics
Lomonosov Moscow State University, Faculty of mechanics and mathematics
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.
Continuing education / Professional retraining / Internships / Study abroad experience
JSPS postdoctoral fellowship at Osaka City University, Osaka, Japan, 2013-2015.
Young Faculty Support Programme (Group of Young Academic Professionals)
Category "Future Professoriate" (2019-2020)
Category "New Lecturers under 30" (2017-2018)
Courses (2023/2024)
- Topological data analysis (Bachelor’s programme; Faculty of Computer Science; 3 year, 3, 4 module)Rus
- Past Courses
Courses (2022/2023)
- Calculus (Bachelor’s programme; Faculty of Computer Science; 1 year, 1-4 module)Rus
- Convex Polytopes (Optional course (faculty); Faculty of Computer Science; 1-4 module)Rus
Courses (2021/2022)
- Calculus (Bachelor’s programme; Faculty of Computer Science; 1 year, 1-4 module)Rus
- Research Seminar "Mathematical and Computational Engineering in Science and Business 2" (Bachelor’s programme; Faculty of Computer Science; 4 year, 1-3 module)Eng
Courses (2018/2019)
- Calculus 1 (Bachelor’s programme; Faculty of Computer Science; 1 year, 1-4 module)Rus
- Differential Equations (Bachelor’s programme; Faculty of Computer Science; 2 year, 3, 4 module)Rus
Courses (2017/2018)
- Calculus 1 (Bachelor’s programme; Faculty of Computer Science; 1 year, 1-4 module)Rus
- Calculus 2 (Bachelor’s programme; Faculty of Computer Science; 2 year, 1-4 module)Rus
- Differential Equations (Bachelor’s programme; Faculty of Computer Science; 2 year, 3, 4 module)Rus
Publications30
- Chapter Ayzenberg A., Beketov M., Burashnikova A., Magaj G., Polevoi A., Shanin I., Sorokin K. Chordal Embeddings Based on Topology of the Tonal Space, in: Artificial Intelligence in Music, Sound, Art and Design: 12th International Conference, EvoMUSART 2023, Held as Part of EvoStar 2023, Brno, Czech Republic, April 12–14, 2023, Proceedings Vol. 13988. Cham : Springer, 2023. doi Ch. 2. P. 20-33. doi
- Article Ayzenberg A., Buchstaber V. Cluster-Permutohedra and Submanifolds of Flag Varieties with Torus Actions // International Mathematics Research Notices. 2023 doi
- Preprint Ayzenberg A., Beketov M., Magaj G. Coverings by open and closed hemispheres / Cornell University. Series arxiv:math.AT "arxiv Algebraic Topology". 2023. doi
- Preprint Ayzenberg A., Gorchakov V. Toric orbit spaces which are manifolds / Cornell University. Series arXiv "math". 2023. doi
- Book Айзенберг А. А., Соломадин Г. Д., Masuda M. Математический сборник / Рук.: Б. С. Кашин. Т. 214. Вып. 6. Математический институт им. В. А. Стеклова РАН, 2023. doi
- Preprint Sorokin K., Ayzenberg A. Topological approach to diagonalization algorithms / Cornell University. Series arXiv "math". 2022. doi
- Preprint Magai German, Ayzenberg A. Topology and geometry of data manifold in deep learning / Cornell University . Series CS "https://arxiv.org/". 2022. doi
- Preprint Sorokin K., Ayzenberg A., Анохин К. В., Сотсков В. П., Beketov M., Drynkin R., Зайцев А. В. Topology of cognitive maps / Cornell University. Series Computer Science "arxiv.org". 2022. doi
- Article Айзенберг А. А., Масуда М., Сато Т. Вторые когомологии регулярных полупростых многообразий Хессенберга на основе ГКМ-теории // Труды Математического института им. В.А. Стеклова РАН. 2022. Т. 317. С. 5-26. doi
- Article Ayzenberg Anton, Buchstaber V.M. Manifolds of isospectral matrices and Hessenberg varieties // International Mathematics Research Notices. 2021. Vol. 2021. No. 21. P. 16671-16692. doi
- Article Ayzenberg A., Cherepanov V. Torus actions of complexity one in non-general position // Osaka Journal of Mathematics. 2021. Vol. 58. No. 4. P. 839-853. (in press)
- Article Айзенберг А. А., Бухштабер В. М. Многообразия изоспектральных матриц-стрелок / Перев.: А. А. Айзенберг // Математический сборник. 2021 (in press)
- Article Айзенберг А.А., Бухштабер В.М. Многообразия изоспектральных матриц-стрелок // Математический сборник. 2021. Т. 212. № 5. С. 3-36. doi
- Article Ayzenberg A. Dimensions of multi-fan duality algebras // Journal of the Mathematical Society of Japan. 2020. Vol. 72. No. 3. P. 777-794. doi
- Article Ayzenberg A. Space of isospectral periodic tridiagonal matrices // Algebraic and Geometric Topology. 2020. Vol. 20. No. 6. P. 2957-2994. doi
- Article Ayzenberg A. Torus Action on Quaternionic Projective Plane and Related Spaces // Arnold Mathematical Journal. 2020. P. 1-24. doi (in press)
- Preprint Ayzenberg A. Topology of nerves and formal concepts / Cornell University. Series arXiv "math". 2019.
- Preprint Ayzenberg A., Бухштабер В. М. Manifolds of isospectral arrow matrices / Arxiv Cornell University Library. Series 1803.10449 "1803.10449". 2018. No. 10449.
- Article Айзенберг А. А. Торические действия сложности один и их локальные свойства // Труды Математического института им. В.А. Стеклова РАН. 2018. Т. 302. С. 23-40. doi
- Article Ayzenberg A., Masuda M., Park S., Zeng H. Cohomology of toric origami manifolds with acyclic proper faces // Journal of Symplectic Geometry. 2017. Vol. 15. No. 3. P. 645-685. doi
- Article Айзенберг А. А. Локально стандартные действия тора и пучки над множествами Буксбаума / Перев.: А. А. Айзенберг // Математический сборник. 2017. Т. 208. № 9. С. 3-25. doi
- Article Ayzenberg A. Homology cycles in manifolds with locally standard torus actions // Homology, Homotopy and Applications. 2016. Vol. 18. No. 1. P. 1-23. doi
- Article Ayzenberg A. Locally standard torus actions and h'-numbers of simplicial posets // Journal of the Mathematical Society of Japan. 2016. Vol. 68. No. 4. P. 1725-1745. doi
- Article Ayzenberg A. Topological model for h''-vectors of simplicial manifolds // Boletin de la Sociedad Matematica Mexicana. 2016. P. 1-9. doi
- Article Ayzenberg A., Masuda M. Volume Polynomials and Duality Algebras of Multi-Fans // Arnold Mathematical Journal. 2016. Vol. 2. No. 3. P. 329-381. doi
- Article Ayzenberg A. Buchstaber invariant, minimal non-simplices and related topics // Osaka Journal of Mathematics. 2015
- Article Ayzenberg A., Masuda M., Park S., Zeng H. Toric origami structures on quasitoric manifolds // Proceedings of the Steklov Institute of Mathematics. 2015. Vol. 288. No. 1. P. 10-28.
- Preprint Ayzenberg A., Masuda M., Park S., Zeng H. Quasitoric manifolds which are not toric origam / RIMS. Series 1922 "RIMS Kokyuroku The topology and the algebraic structures of transformation groups". 2014. No. 16.
- Article Айзенберг А. А. Топологические приложения свойств колец Стенли-Райснера симплициальных комплексов // Труды Московского математического общества. 2012. Т. 73. № 1. С. 47-85.
- Article Айзенберг А. А., Бухштабер В. М. Нерв-комплексы и момент–угол-пространства выпуклых многогранников // Труды Математического института им. В.А. Стеклова РАН. 2011. Т. 275. С. 22-54.
Conferences
- 20167th European Congress of Mathematics (Берлин). Presentation: Volume polynomial an Poincare duality algebra of multi-polytope
- 2015Torus Actions: Topology, Geometry and Number Theory (Пекин). Presentation: Cohomology of torus manifolds and socles of face rings
- 2014Geometry, Topology and Integrability (Москва). Presentation: Topology of manifolds with locally standard action of torus
Employment history
2020 - present time: head of ATA Lab, NRU HSE.
2016 - present time: associate professor at the Big Data and Information Retrieval School, NRU HSE.
2019 - 2020: senior researcher at the Laboratory of Applied Geometry and Topology, NRU HSE.
2016 - 2017, 2020: lecturer at Independent University of Moscow.
2016: lecturer at Steklov Mathematical Institute of Russian Academy of Sciences.
2015 - 2016: postdoctoral fellow at the Faculty of Mathematics, NRU HSE.
2013 - 2015: JSPS postdoctoral fellow at the Department of Mathematics of Osaka City University.
2011 - 2013: junior research fellow at the Laboratory of Geometrical Methods of Mathematical Physics, Faculty of Mathematics and Mechanics, Lomonosov Moscow State University.
Topology of Torus Actions and Related Topics Conference Takes Place
The international conference Topology of Torus Actions and Related Topics organized by the International Laboratory of Algebraic Topology and its Applications and Sirius Mathematical Centre was held in Sochi on October 25-29.
Applications of Topology and Geometry – 2020 Online School
The School gathered more than three hundred participants from around the world to discuss the applications of geometrical and topological methods in mathematics and computer science.
HSE Launches New International Laboratories
For ten years now, HSE has been holding an annual grant competition for researchers who wish to start new international laboratories at HSE in collaboration with leading foreign scholars and scientists. The most recent competition reached its conclusion this past November, and now some of the selected proposed labs have already begun operation. Who are the competition winners and what kind of research will they be doing?
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Projects have won the competition for the creation of international laboratories at HSE University for the period from December 1, 2019 to December 31, 2022.