Sergei Ivanov
ProfessorGroup: Algebraic Topology and its Applications
Office: A3-3-307
Email: ivanov.s.o.1986@bimsa.cn
Research Field: Homology Algebra, Algebraic Topology
Webpage: https://www.sergei-o-ivanov.com/
Biography
Prof. Sergei Ivanov is a mathematician from St. Petersburg, Russia. His research interests include homological algebra, algebraic topology, group theory, simplicial homotopy theory, simplicial groups.
Education Experience
- 2008 - 2011 Saint Petersburg State University Master
- 2003 - 2008 Saint Petersburg State University Bachelor
- - 2012 Saint Petersburg University Mathematics Doctor
Work Experience
- 2022 - BIMSA Professor
- 2019 - St. Petersburg Mathematical Society Member
- 2018 - Laboratory of Modern Algebra and Applications, Saint Peterburg University Senior Researcher
- 2013 - 2017 Chebyshev Lab. of Saint Peterburg University Postdoctoral Researcher
Honors and Awards
- 2014 Young mathematician prize of St. Petersburg Mathematical Society
Publication
- [1] Sergei O. Ivanov, Xiaomeng Xu, On ℓp-Vietoris-Rips complexes (2024)
- [2] Shaobo Di, Sergei O. Ivanov, Lev Mukoseev and Mengmeng Zhang, On the path homology of Cayley digraphs and covering digraphs, Journal of Algebra, 653 (2024)
- [3] Xin Fu, Sergei O. Ivanov, Path homology of digraphs without multisquares and its comparison with homology of spaces. (2024)
- [4] Sergei O. Ivanov, Lev Mukoseev, On diagonal digraphs, Koszul algebras and triangulations of homology spheres (2024)
- [5] S. O. Ivanov, R. Mikhailov, F. Pavutnitskiy, Limits via relations (2024)
- [6] Yasuhiko Asao, Sergei O. Ivanov, Magnitude homology is a derived functor (2024)
- [7] L. Bartholdi, D. Fialkovski, S. O. Ivanov., On commutator length in free groups, Groups Geom. Dyn., 18 (2024)
- [8] Sergei O. Ivanov, Nested homotopy models of finite metric spaces and their spectral homology (2023)
- [9] M. Basok, S.O. Ivanov, R. Mikhailov., Homology of the pronilpotent completion and cotorsion groups, ISRAEL JOURNAL OF MATHEMATICS, 261, 281–312 (2023)
- [10] Mishel Carelli, Sergei O. Ivanov, Transfinite version of the Mittag-Leffler condition for the vanishing of the derived limit (2023)
- [11] E. Dror Farjoun, S. O. Ivanov, Completions and Terminal Monads, arXiv(2023)
- [12] E. Dror Farjoun, S. O. Ivanov, A. Zaikovskii, A Note on the Non-Existence of Functors, arXiv(2023)
- [13] S. O. Ivanov, F. Pavutnitskiy, Simplicial approach to path homology of quivers, marked categories, groups and algebras, Journal of The London Mathematical Society(2023)
- [14] S. O. Ivanov, R. Mikhailov, HR-length of a free group via polynomial functors., Journal of Pure and Applied Algebra, 227(2023), 12, 107443
- [15] S. O. Ivanov. An overview of rationalization theories of non-simply connected spaces and non-nilpotent groups. Acta Mathematica Sinica, English Series volume 38, 1705-1721
- [16] S. O. Ivanov. On the cokernel of the Baumslag rationalization. Israel Journal of Mathematics
- [17] S. O. Ivanov, F. Pavutnitskiy, V. Romanovskii, A. Zaikovskii. On homology of Lie algebras over commutative rings. Journal of Algebra, 586, (2021), 99-139.
- [18] D. Akhtiamov, S. O. Ivanov, F. Pavutnitskiy, Right exact localizations of groups, Israel Journal of Mathematics, 1-35 (2021)
- [19] Ivanov, Sergei O., and A. A. Zaikovskii. "Mod-2 (co) homology of an abelian group." Journal of Mathematical Sciences 252.6 (2021): 794-803.
- [20] Ivanov, Sergei O., and Viktor Lopatkin. "Parafree augmented algebras and Grobner-Shirshov bases for complete augmented algebras." Journal of Pure and Applied Algebra (2021): 106725.
- [21] Ivanov, Sergei O., and Roman Mikhailov. "Right exact group completion as a transfinite invariant of homology equivalence." Algebraic & Geometric Topology 21.1 (2021): 447-468.
- [22] Ivanov, Sergei O., Vladislav Romanovskii, and Andrei Semenov. "A simple proof of Curtis' connectivity theorem for Lie powers." Homology, Homotopy and Applications 22.2 (2020): 251-258.
- [23] Ivanov, Sergei O., Roman Mikhailov, and Anatolii Zaikovskii. "Homological properties of parafree Lie algebras." Journal of Algebra 560 (2020): 1092-1106.
- [24] Ivanov, Sergei O., Roman V. Mikhailov, and Vladimir A. Sosnilo. "Higher colimits, derived functors and homology." Sbornik: Mathematics 210.9 (2019): 1222.
- [25] Ivanov, Sergei O., and Roman Mikhailov. "A finite Q{bad space." Geometry & Topology 23.3 (2019): 1237-1249.
- [26] Ivanov, Sergei O.; Mikhailov, Roman; Wu, Jie Leibniz rule on higher pages of unstable spectral sequences, Proc. Edinb. Math. Soc. (2) 61 (1) (2018), 265-282.
- [27] Ivanov, Sergei O. "On Bousfield's problem for solvable groups of finite Prufer rank." Journal of Algebra 501 (2018): 473-502.
- [28] Ivanov, Sergei O., and Roman Mikhailov. "On lengths of HZ-localization towers." Israel Journal of Mathematics 226.2 (2018): 635-683.
- [29] Ivanov, Sergei O., and Roman Mikhailov. "On discrete homology of a free pro-group." Compositio Mathematica 154.10 (2018): 2195-2204.
- [30] Ivanov, Sergei O., and Roman Mikhailov. "Higher limits, homology theories and fr-codes."Combinatorial And Toric Homotopy: Introductory Lectures. 2018. 229-261.
- [31] Ivanov, Sergei O., Roman Mikhailov, and Jie Wu. "Homotopy theory and generalized dimension subgroups." Journal of Algebra 484 (2017): 224-246.
- [32] Ivanov, Sergei O., and Roman Mikhailov. "On a problem of Bousfield for metabelian groups." Advances in Mathematics 290 (2016): 552-589.
- [33] Ivanov, Sergei O., Roman Mikhailov, and Jie Wu. "On nontriviality of certain homotopy groups of spheres." Homology, Homotopy and Applications 18.2 (2016): 337-344.
- [34] Ivanov, Sergei O., and Roman Mikhailov. "A higher limit approach to homology theories." Journal of Pure and Applied Algebra 219.6 (2015): 1915-1939.
- [35] Ivanov, A., Ivanov, S. O., Volkov, Y., Zhou, G. (2015). BV structure on Hochschild cohomology of the group ring of quaternion group of order eight in characteristic two. Journal of Algebra, 435, 174-203.
- [36] Ivanov, S. O., and Y. V. Volkov. "Stable Calabi-Yau dimension of self-injective algebras of finite type." Journal of Algebra 413 (2014): 72-99.
- [37] S. O. Ivanov. The stable Calabi-Yau dimension of the preprojective algebra of type Ln. St. Petersburg Mathematical Journal 24.3 (2013): 475-484.
- [38] Ivanov, S. O. "Self-Injective algebras of stable Calabi-Yau dimension three." Journal of Mathematical Sciences 188.5 (2013): 601-620.
- [39] Ivanov, S. O. "Nakayama functors and Eilenberg-Watts theorems." Journal of Mathematical Sciences 183.5 (2012): 675-680.
- [40] Y. Volkov, A. Generalov, S. O. Ivanov. On the construction of bimodule resolutions withthe help of the Happel lemma. Journal of Mathematical Sciences 171.3 (2010).
- [41] A. Generalov, S. O. Ivanov. Bimodule resolution of a group algebra. Journal of Mathematical Sciences 161.4 (2009): 537-541.
- [42] A. Generalov, A. A. Ivanov, S. O. Ivanov. Hochschild cohomology of algebras of quaternion type. II. The family Q(2B)1 in characteristic 2. Journal of Mathematical Sciences volume 151, pages 2961-3009 (2008)
Update Time: 2024-11-11 09:24:05