ru en
Roman V. Mikhailov
Roman V. Mikhailov
Senior Researcher at MAA Laboratory

r.mikhaylov@spbu.ru


Education

06.2010 Doctor of Sciences in Mathematics (MI RAS)


Scientific interests

  • homotopy theory
  • group theory
  • homological and homotopical algebra

Additional Information

romanvm@mi.ras.ru

Talks:


Publications

20 Gilbert Baumslag, Roman Mikhailov, Kent Orr, Localization, metabelian groups and Isomorphism Problem, Transactions of the AMS, 369 (2017), 6823-6852 ; preprint (2013).
19 Roman Mikhailov, Inder Bir S. Passi, The subgroup determined by a certain ideal in a free group ring, Journal of Algebra, 449 (2016), 400-407; preprint (2015).
18 Roman Mikhailov, On transfinite nilpotence of the Vogel-Levine localization, Forum Mathematicum, 28:2 (2016); preprint (2014).
17 Valery Bardakov, Roman Mikhailov, Vladimir Vershinin, Jie Wu, On the pure virtual braid group PV_3, Commutative algebra, 44:3 (2016), 1350-1378; preprint (2009).
16 Roman Mikhailov, Jie Wu, On the metastable homotopy of mod 2 Moore spaces, Algebraic and Geometric Topology, 16:3 (2016), 1773-1797; preprint (2015).
15 Sergei O. Ivanov, Roman Mikhailov, Jie Wu, On nontriviality of certain homotopy groups of spheres, Homology, Homotopy and Applications, 18:2 (2016), 337-344; preprint (2015).
14 Sergei O. Ivanov, Roman Mikhailov, On a problem of Bousfield for metabelian groups, Advances in Mathematics, 290 (2016), 552-589; preprint (2014).
13 Sergei O. Ivanov, Roman Mikhailov, Jie Wu, Leibniz rule on higher pages of unstable spectral sequences, accepted to Proceedings of the Edinburgh Mathematical Society; preprint (2015).
12 Roman Mikhailov, Inder Bir S. Passi, Generalized dimension subgroups and derived functors, Journal of Pure and Applied Algebra, 220:6 (2016), 2143-2163; preprint (2015).
11 Lawrence Breen, Roman Mikhailov, Antoine Touze, Derived functors of the divided power functors, Geometry and Topology, 20 (2016), 257-352; preprint (2013).
10 Roman Mikhailov, A one-relator group with long lower central series, Forum Mathematicum, 28:2 (2016); preprint (2014).
9 Frederick R. Cohen, Roman Mikhailov, Jie Wu, A combinatorial approach to the exponents of Moore spaces, to appear in Mathematische Zeitschrift; preprint (2015).
8 Sergei O. Ivanov, Roman Mikhailov, Higher limits, homology theories and fr­codes, to appear in IMS Lecture Note Series; preprint (2015).
7 Roman Mikhailov, Kent Orr, Group localization and two problems of Levine, Mathematische Zeitschrift, 280 (2015), 355-366; preprint (2013).
6 Sergei O. Ivanov, Roman Mikhailov, A higher limit approach to homology theories, Journal of Pure and Applied Algebra, 219 (2015), 1915-­1939 ; preprint (2013).
5 Aurelien Djament, , Wilberd van der Kallen, Roman Mikhailov, Antoine Touze, Polynomial functors and homotopy theory, Progress in Mathematics, Vol. 311.
4 Sergei O. Ivanov , Roman Mikhailov, Jie Wu, Homotopy theory and generalized dimension subgroups, Journal of Algebra, 484 (2017), 224-246; preprint (2015).
3 Sergei O. Ivanov, Roman Mikhailov, On zero-divisors in group rings of groups with torsion, Canadian Mathematical Bulletin, 57:2 (2014), 326-334; preprint (2012).
2 Gilbert Baumslag, Roman Mikhailov, Residual properties of groups defined by basic commutators, Groups, Geometry and Dynamics, 8:3 (2014), 621-642; preprint (2013).
1 Roman Mikhailov, Jie Wu, Combinatorial group theory and the homotopy groups of finite complexes, Geometry and Topology, 17 (2013), 235-272..