Algebraic groups and its representations, class field theory, formal groups, p-divisible groups, formal and Galois modules, moduli spaces, hinge mechanisms, polygonal linkage.
Subject:
Class field theory, moduli space of polygonal mechanisms, plethysms, vertex algebras
Main publications:
S.V.Vostokov, I.I.Nekrasov, “Lutz filtration as Galois module”, Lobachevskii Journal of Mathematics, 36:2 (2016), 214.221
I. Nekrasov, G. Panina, “Geometric presentation for the cohomology ring of polygon spaces”, Algebra i Analiz, 31:1 (2019), 80–91; St. Petersburg Math. J., 31:1 (2020), 59–67
R. A. Lubkov, I. I. Nekrasov, “Explicit equations for exterior square of the general linear group”, Zap. Nauchn. Sem. POMI, 470 (2018), 120–137; J. Math. Sci. (N. Y.), 243:4 (2019), 583–594
S. V. Vostokov, I. I. Nekrasov, “Lubin–Tate formal module in a cyclic unramified $p$-extension as Galois module”, Zap. Nauchn. Sem. POMI, 430 (2014), 61–66; J. Math. Sci. (N. Y.), 219:3 (2016), 375–379
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