Anton Ayzenberg
- Associate Professor:Faculty of Computer Science / Big Data and Information Retrieval School
- Senior Research Fellow:Faculty of Computer Science / Big Data and Information Retrieval School / Laboratory for Applied Geometry and Topology
- Anton Ayzenberg has been at HSE University since 2015.
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
* 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.
Continuing education / Professional retraining / Internships / Study abroad experience
JSPS postdoctoral fellowship at Osaka City University, Osaka, Japan, 2013-2015.
Awards and Accomplishments
Young Russian Mathematics (2015-2018)
OCAMI Association special prize 2017
Moscow Mathematical Society annual prize
Young Faculty Support Program (Group of Young Academic Professionals)
Category "Future Professoriate" (2019)
Category "New Lecturers under 30" (2017-2018)
Courses (2019/2020)
- 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
- Past Courses
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
Courses (2016/2017)
- Differential Equations (Bachelor’s programme; Faculty of Computer Science; 2 year, 3, 4 module)Rus
- Mathematical Analysis (Calculus) 1 (Bachelor’s programme; Faculty of Computer Science; 1 year, 1-4 module)Rus
Publications15
- Article Ayzenberg A. Dimensions of multi-fan duality algebras // Journal of the Mathematical Society of Japan. 2019. P. 1-18. doi (in press)
- Preprint Ayzenberg A. Topology of nerves and formal concepts / Cornell University. Series arxive "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
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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.
