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Anastasia K. Stavrova
Anastasia K. Stavrova
Senior Researcher
Contacts:

29 Line 14th (Vasilyevsky Island), 199178 Saint Petersburg, Russia

anastasia.stavrova@gmail.com

Reception hours:

Thursday, from 3:00 pm to 4:30 pm


Education

10.2009 — Ph.D. (C.Sc.) in Mathematics and Physics («Mathematical Logic, Algebra and Number Theory»)
Institution: St. Petersburg State University
Thesis title: Structure of Isotropic Reductive Groups
Advisor: N.A. Vavilov

06.2007 — M.Sc. in Mathematics
Institution: University of Leiden (the Netherlands) and University of Padua (Italy)

06.2005 — Specialist Degree in Mathematics
Institution: St. Petersburg State University


Scientific interests

My research deals with the theory of algebraic groups, which is a branch of mathematics closely related to algebraic geometry, group theory and Lie theory. More precisely, I study the structure of isotropic reductive algebraic groups and their connection to non-associative algebras (such as Jordan algebras and structurable algebras) and algebraic K-theory.


Additional Information

  • Laureate of the award «To Young Mathematician» of Saint Petersburg Mathematical Society (2009)
  • Laureate of J.E. Marsden postdoctoral fellowship (2013, Fields Institute, Canada)
  • Awardee of «Young mathematics of Russia» (2016)
  • Laureate of the G. de B. Robinson Award of the Canadian Mathematical Society (2018)

Publications

20 Anastasia Stavrova, Isotropic reductive groups over discrete Hodge algebras, Journal of Homotopy and Related Structures, 14:2 (2019), 509–524; preprint. ,
19 Lien Boelaert, Tom De Medts, Anastasia Stavrova, Moufang sets and structurable division algebras, Memoirs AMS 259 (2019), no. 1245, 90 pp.; preprint.
18 Anastasia Stavrova, Chevalley groups of polynomial rings over Dedekind domains, accepted for publication in Journal of Group Theory; preprint (2019).
17 Anastasia Stavrova, On the classification of Kantor pairs and structurable algebras in characteristic 5; preprint (2018).
16 Anastasia Stavrova, Alexei Stepanov, Normal structure of isotropic reductive groups over rings; preprint (2018).
15 Panin I.A., Stavrova A.K., On the Grothendieck-Serre Conjecture Concerning Principal G-Bundles Over Semilocal Dedekind Domains, Journal of Mathematical Sciences, 222:4 (2017), 453-462. Translated from Panin I.A., Stavrova A.K., On the Grothendieck-Serre Conjecture Concerning Principal G-Bundles Over Semilocal Dedekind Domains, Записки научных семинаров ПОМИ, 443 (2016), 133-146.
13 Anastasia Stavrova, Non-stable K1-functors of multiloop groups, Canadian Journal of Mathematics, 68 (2016), 150-178; preprint.
12 Anastasia Stavrova, Automorphisms of multiloop Lie algebras, in: International Workshop on Lie Theory and Its Applications in Physics, Springer Proceedings in Mathematics and Statistics (2015), 531-538.
11 Ivan Panin, Anastasia Stavrova, Nikolai Vavilov, On Grothendieck-Serre’s conjecture concerning principal G-bundles over reductive group schemes: I, Compositio Mathematica, 151:3 (2015), 535-567; preprint.
10 Anastasia Stavrova, Homotopy invariance of non-stable K1-functors, Journal of K-Theory, 13:2 (2014), 199-248; preprint.
9 Anastasia Stavrova, On the congruence kernel of isotropic groups over rings; preprint (2013).
8 Kulikova E., Stavrova A., Centralizer of the elementary subgroup of an isotropic reductive group, Vestnik St. Petersburg University: Mathematics, 46:1 (2013), 22-28. Translated from Куликова Е.А., Ставрова А.К., Централизатор элементарной подгруппы в изотропной редуктивной группе, Вестник Санкт-Петербургского университета. Серия 1. Математика. Механика. Астрономия, 1:1 (2013), 34-42; preprint.
7 Luzgarev A.Yu., Stavrova A.K., Elementary subgroup of an isotropic reductive group is perfect, St. Petersburg Mathematical Journal, 23 (2012), 881-890. Translated from Лузгарев А.Ю., Ставрова А.К., Совершенность элементарной подгруппы изотропной редуктивной группы, Алгебра и анализ, 23:5 (2011), 140-154; preprint.
6 Victor Petrov, Anastasia Stavrova, Tits indices over semilocal rings, Transformation Groups, 16:1 (2011), 193-217; preprint.
5 Victor Petrov, Ivan Panin, Anastasia Stavrova, Grothendieck-Serre conjecture for adjoint groups of type E6 and E7, Oberwolfach Reports 25/2009, 1392-1393.
3 Petrov V., Stavrova A., Elementary subgroups of isotropic reductive groups, St. Petersburg Mathematical Journal, 20 (2009), 625-644. Translated from Петров В.А., Ставрова А.К., Элементарные подгруппы в изотропных редуктивных группах, Алгебра и анализ, 20:4 (2008), 160-188.
2 Vavilov N.A., Stavrova A.K., Basic reductions in the description of normal subgroups, Journal of Mathematical Sciences, 151 (2008), 2949-2960. Translated from Вавилов Н.А., Ставрова А.К., Основные редукции в задаче описания нормальных подгрупп, Записки научных семинаров ПОМИ, 349 (2007), 30-52.
1 Kazakevich V.G., Stavrova A.K., Subgroups normalized by the elementary Levi subgroup, Journal of Mathematical Sciences, 134:6 (2006), 2549-2557. Translated from Казакевич В.Г., Ставрова А.К., Подгруппы, нормализуемые коммутантом подгруппы Леви, Записки научных семинаров ПОМИ, 319 (2004), 199-215.