Speciality:
01.01.04 (Geometry and topology)
Keywords: Bestvina-Brady complex, K-functor, Hecke algebra, rational and p-adic homotopy theory
Subject:
Function complexes, schematization functor, aspherical presentations, Burnside category, cohomology of algebraic groups, homotopical algebra
Main publications:
A. Mikhovich, “Bousfield-Kan completions of subcontractible presentations”
A. Mikhovich, “Rational and $p$-adic analogues of J.H.C. Whiteheads conjecture”, Izv. Math., 2 (2025)
A. Mikhovich, “Quasirationality and prounipotent crossed modules”, J. Knot Theory Ramif., 28:13, 1940012, 23 p. (2019)
A. Mikhovich, “Identity theorem for pro-$p$-groups”, Knots, Low-dimensional Topology and Applications, Springer Proceedings in Mathematics and Statistics (PROMS); C. Adams et all, Eds. vol.284, pages 363–387 (2019)