Biography

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] S. O. Ivanov, R. Mikhailov, HR-length of a free group via polynomial functors., Journal of Pure and Applied Algebra, 227(2023), 12, 107443
• [2] E. Dror Farjoun, S. O. Ivanov, A. Krasilnikov, A. Zaikovskii., A Note on the Non-Existence of Functors, Journal of Algebra, 675, 273-288 (2025)
• [3] E. Dror Farjoun, S. O. Ivanov, Bousfield-Kan completion as a codensity ∞-monad (2025)
• [4] Sergei O. Ivanov, Xiaomeng Xu, On ℓp-Vietoris-Rips complexes (2024)
• [5] 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)
• [6] Xin Fu and Sergei O. Ivanov, Path homology of digraphs without multisquares and its comparison with homology of spaces, arXiv:2407.17001 (2024)
• [7] Xin Fu, Sergei O. Ivanov, Path homology of digraphs without multisquares and its comparison with homology of spaces. (2024)
• [8] Sergei O. Ivanov, Lev Mukoseev, On diagonal digraphs, Koszul algebras and triangulations of homology spheres (2024)
• [9] Yasuhiko Asao, Sergei O. Ivanov, Magnitude homology is a derived functor (2024)
• [10] L. Bartholdi, D. Fialkovski, S. O. Ivanov., On commutator length in free groups, Groups Geom. Dyn., 18 (2024)
• [11] SO Ivanov, X Xu, On$\ell_p$-Vietoris-Rips complexes, arXiv preprint arXiv:2411.01857 (2024)
• [12] S Ivanov, SV Sviridov, EV Burnaev, Rethinking graph classification problem in presence of isomorphism, Doklady Rossijskoj Akademii Nauk. Mathematika, Informatika, Processy (2024)
• [13] Sergei O. Ivanov, Nested homotopy models of finite metric spaces and their spectral homology (2023)
• [14] M. Basok, S.O. Ivanov, R. Mikhailov., Homology of the pronilpotent completion and cotorsion groups, ISRAEL JOURNAL OF MATHEMATICS, 261, 281–312 (2023)
• [15] Mishel Carelli, Sergei O. Ivanov, Transfinite version of the Mittag-Leffler condition for the vanishing of the derived limit (2023)
• [16] S. O. Ivanov, F. Pavutnitskiy, Simplicial approach to path homology of quivers, marked categories, groups and algebras, Journal of The London Mathematical Society(2023)
• [17] E. Dror Farjoun, S. O. Ivanov, Completions and Terminal Monads, arXiv(2023)
• [18] SO Ivanov, R Mikhailov, HR-length of a free group via polynomial functors, Journal of Pure and Applied Algebra, 227(12) (2023)
• [19] 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
• [20] S. O. Ivanov, On the cokernel of the Baumslag rationalization, Israel Journal of Mathematics (2022)
• [21] Sergei O. Ivanov, Fedor Pavutnitskiy, Simplicial approach to path homology of quivers, subsets of groups and submodules of algebras (2022)
• [22] Jianbing Ye, Wenshuo Guan, Chao Qiu, Liang Sun, Naijun Ma, Quadric Hypersurface Intersection for Manifold Learning in Feature Space, arXiv:2102.06186 (2022)
• [23] SO Ivanov, An overview of rationalization theories of non-simply connected spaces and non-nilpotent groups, Acta Mathematica Sinica, English Series, 38(10), 1705-1721 (2022)
• [24] S. O. Ivanov, F. Pavutnitskiy, V. Romanovskii, A. Zaikovskii, On homology of Lie algebras over commutative rings., Journal of Algebra, 586, 99-139 (2021)
• [25] Sergei O. Ivanov, A. A. Zaikovskii, Mod-2 (co) homology of an abelian group, Journal of Mathematical Sciences, 252(6), 794-803 (2021)
• [26] 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.
• [27] Sergei O. Ivanov, Roman Mikhailov, Right exact group completion as a transfinite invariant of homology equivalence., Algebraic & Geometric Topology, 21(1), 447-468 (2021)
• [28] D. Akhtiamov, S. O. Ivanov, F. Pavutnitskiy, Right exact localizations of groups, Israel Journal of Mathematics, 1-35 (2021)
• [29] SO Ivanov, Baumslag rationalization of spaces, arXiv preprint arXiv:2110.02570 (2021)
• [30] SO Ivanov, F Pavutnitskiy, V Romanovskii, A Zaikovskii, On homology of Lie algebras over commutative rings, Journal of Algebra, 586, 99-139 (2021)
• [31] S Ivanov, R Mikhailov, Right exact group completion as a transfinite invariant of homology equivalence, Algebraic & Geometric Topology, 21(1), 447-468 (2021)
• [32] SO Ivanov, V Lopatkin, Parafree augmented algebras and Gröbner-Shirshov bases for complete augmented algebras, Journal of Pure and Applied Algebra, 225(11) (2021)
• [33] 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.
• [34] Sergei O. Ivanov, Roman Mikhailov, Anatolii Zaikovskii, Homological properties of parafree Lie algebras., Journal of Algebra, 560, 1092-1106 (2020)
• [35] SO Ivanov, R Mikhailov, A Zaikovskii, Homological properties of parafree Lie algebras, Journal of Algebra, 560, 1092-1106 (2020)
• [36] MA Antipov, NA Vavilov, YV Volkov, MA Vsemirnov, SV Vostokov et al., On the 70th anniversary of Aleksandr Ivanovich Generalov, St Petersburg State University (2020)
• [37] Sergei O. Ivanov, Roman Mikhailov, A finite Q{bad space., Geometry & Topology, 23(3), 1237-1249 (2019)
• [38] Sergei O. Ivanov, Roman V. Mikhailov, Vladimir A. Sosnilo, Higher colimits, derived functors and homology, Sbornik: Mathematics, 210(9), 1222 (2019)
• [39] S Ivanov, R Mikhailov, A finite ℚ–bad space, Geometry & Topology, 23(3), 1237-1249 (2019)
• [40] SO Ivanov, V Romanovskii, A Semenov, A Simple proof of Curtis' connectivity theorem for Lie powers, arXiv preprint arXiv:1912.03086 (2019)
• [41] SO Ivanov, R Mikhailov, F Pavutnitskiy, Limits, standard complexes and fr-codes, arXiv preprint arXiv:1906.08793 (2019)
• [42] SO Ivanov, G Kadantsev, K Kuznetsov, Subquandles of free quandles, arXiv preprint arXiv:1904.06571 (2019)
• [43] SO Ivanov, AA Zaikovskii, Mod- (co)homology of an abelian group, Записки научных семинаров ПОМИ, 72-85 (2019)
• [44] Sergei O. Ivanov, Roman Mikhailov, Jie Wu, Leibniz rule on higher pages of unstable spectral sequences, Proceedings of the Edinburgh Mathematical Society, 61(1), 265-282 (2018)
• [45] Sergei O. Ivanov, Roman Mikhailov, On lengths of HZ-localization towers., Israel Journal of Mathematics, 226(2), 635-683 (2018)
• [46] Sergei O. Ivanov, Roman Mikhailov, On discrete homology of a free pro-group, Compositio Mathematica, 154(10), 2195-2204 (2018)
• [47] Sergei O. Ivanov, Roman Mikhailov, Higher limits, homology theories and fr-codes, Combinatorial And Toric Homotopy: Introductory Lectures, 229-261 (2018)
• [48] Ivanov, Sergei O. "On Bousfield's problem for solvable groups of finite Prufer rank." Journal of Algebra 501 (2018): 473-502.
• [49] SO Ivanov, R Mikhailov, On discrete homology of a free pro-p-group, Compositio Mathematica, 154(10), 2195-2204 (2018)
• [50] SO Ivanov, R Mikhailov, On lengths ofℤ-localization towers, Israel Journal of Mathematics, 226, 635-683 (2018)
• [51] SO Ivanov, On Bousfield's problem for solvable groups of finite Prüfer rank, Journal of Algebra, 501, 473-502 (2018)
• [52] B Baranov, SO Ivanov, S Novikov, On two letter identities in Lie rings, preprint (2018)
• [53] Sergei O. Ivanov, Roman Mikhailov, Jie Wu, Homotopy theory and generalized dimension subgroups, Journal of Algebra, 484, 224-246 (2017)
• [54] Sergei O. Ivanov, Roman Mikhailov, Jie Wu, Homotopy theory and generalized dimension subgroups., Journal of Algebra, 484, 224-246 (2017)
• [55] SO Ivanov, S Novikov, Generalized Jacobi identities and Jacobi elements of the group ring of the symmetric group, arXiv preprint arXiv:1705.03826 (2017)
• [56] Sergei O. Ivanov, Roman Mikhailov, On a problem of Bousfield for metabelian groups, Advances in Mathematics, 290, 552-589 (2016)
• [57] Ivanov, Sergei O.; Mikhailov, Roman; Wu, Jie , On nontriviality of certain homotopy groups of spheres, Homology Homotopy Appl., 18(2016), 2, 337-344
• [58] Sergei O. Ivanov, Roman Mikhailov, Jie Wu, On nontriviality of certain homotopy groups of spheres., Homology, Homotopy and Applications, 18(2), 337-344 (2016)
• [59] I Alekseev, SO Ivanov, Higher Jacobi identities, arXiv preprint arXiv:1604.05281 (2016)
• [60] A. Ivanov, S. O. Ivanov, Y. Volkov, G. Zhou, BV structure on Hochschild cohomology of the group ring of quaternion group of order eight in characteristic two, Journal of Algebra, 435, 174-203 (2015)
• [61] Sergei O. Ivanov, Roman Mikhailov, A higher limit approach to homology theories, Journal of Pure and Applied Algebra, 219(6), 1915-1939 (2015)
• [62] D Fialkovski, SO Ivanov, Minimal commutator presentations in free groups, ArXiv e-prints, arXiv: 1504.04261 (2015)
• [63] SO Ivanov, R Mikhailov, J Wu, On nontriviality of homotopy groups of spheres, arXiv preprint arXiv:1506.00952, 2015 (2015)
• [64] S. O. Ivanov, Y. V. Volkov, Stable Calabi-Yau dimension of self-injective algebras of finite type, Journal of Algebra, 413, 72-99 (2014)
• [65] SO Ivanov, YV Volkov, Stable Calabi–Yau dimension of self-injective algebras of finite type, Journal of Algebra, 413, 72-99 (2014)
• [66] SO Ivanov, R Mikhailov, On Bousfield problem for the class of metabelian groups, arXiv preprint arXiv:1407.2959 (2014)
• [67] S. O. Ivanov, The stable Calabi-Yau dimension of the preprojective algebra of type Ln, St. Petersburg Mathematical Journal, 24(3), 475-484 (2013)
• [68] S. O. Ivanov, Self-Injective algebras of stable Calabi-Yau dimension three., Journal of Mathematical Sciences, 188(5), 601-620 (2013)
• [69] S Ivanov, The stable Calabi–Yau dimension of the preprojective algebra of type 𝐋_ {𝐧}, St. Petersburg Mathematical Journal, 24(3), 475-484 (2013)
• [70] SO Ivanov, Self-Injective algebras of stable Calabi-Yau dimension three, Journal of Mathematical Sciences, 188(5), 601-620 (2013)
• [71] S. O. Ivanov, Nakayama functors and Eilenberg-Watts theorems, Journal of Mathematical Sciences, 183(5), 675-680 (2012)
• [72] SO Ivanov, The stable Calabi–Yau dimension of preprojective algebras of type, Algebra i Analiz, 24(3), 148-162 (2012)
• [73] SO Ivanov, Nakayama functors and Eilenberg–Watts theorems, Zapiski Nauchnykh Seminarov POMI, 388, 179-188 (2011)
• [74] SO Ivanov, Selfinjective algebras of stable Calabi–Yau dimension three, Zapiski Nauchnykh Seminarov POMI, 394, 226-261 (2011)
• [75] 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)
• [76] YV Volkov, AI Generalov, SO Ivanov, On construction of bimodule resolutions with the help of Happel’s lemma, Zap. Nauchn. Semin. POMI, 375, 61-70 (2010)
• [77] Y Volkov, A Generalov, S Ivanov, On the construction of bimodule resolutions with the help of the Happel lemma., Journal of Mathematical Sciences, 171(3) (2010)
• [78] A. Generalov, S. O. Ivanov, Bimodule resolution of a group algebra, Journal of Mathematical Sciences, 161(4), 537-541 (2009)
• [79] 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)
• [80] AI Generalov, AA Ivanov, SO Ivanov, Hochschild cohomology of algebras of quaternion type. II. The family InlineEquation ID=" IEq1"> ImageObject FileRef=" 1095820089017ArticleIEq1. gif" Format=" GIF" Color=" BlackWhit, Journal of Mathematical Sciences-New York, 151(3), 2961-3009 (2008)
• [81] AI Generalov, AA Ivanov, SO Ivanov, Hochschild cohomology of algebras of quaternion type. II. The family in characteristic 2, Journal of Mathematical Sciences, 151(3), 2961-3009 (2008)
• [82] AI Generalov, AA Ivanov, SO Ivanov, Hochschild cohomology of algebras of quaternion type. II. The family$Q(2\mathcal B)_1$in characteristic 2, Zapiski Nauchnykh Seminarov POMI, 349, 53-134 (2007)
• [83] NV Mikhailovich, NI Golub, V Ionin, I Alekseev, S Postushkov, S Fomin et al., VA Rohlin St. Petersburg Topology Seminar
• [84] SO Ivanov, Гипотеза Эндрюса-Кёртиса
• [85] SO Ivanov, First name: Sergei. Middle name: Olegovich. Last name: Ivanov. E-mail: ivanov. so 1986@ gmail. com
• [86] SO Ivanov, An overview of rationalizations of groups and spaces
• [87] AI Generalov, AA Ivanov, SO Ivanov, KOGOMOLOGII HOHXIL^ DA ALGEBR KVATERNIONNOGO TIPA. II. SERI Q (2B) V HARAKTERISTIKE 2 Vvedenie
• [88] SO Ivanov, Homology of R-completions of a group and finite R-bad spaces