descrete geometry,
convex polytopes,
tilings,
theory of Voronoi,
parallelohedra.
Subject:
Voronoi's conjecture, theory of polytopes
Main publications:
A. Garber, A. Gavrilyuk, A. Magazinov, “The Voronoi conjecture for parallelohedra with simply connected $\delta$-surfaces”, Discrete & Computational Geometry, 53:2 (2015), 245–260
A. Garber, A. Gavrilyuk, A. Magazinov, “The Voronoi conjecture for parallelohedra with simply connected $\delta$-surfaces”, Discrete Comput. Geom., 53:2 (2015), 245–260
A. A. Gavrilyuk, “Geometry of lifts of tilings of Euclidean spaces”, Trudy Mat. Inst. Steklova, 288 (2015), 49–66; Proc. Steklov Inst. Math., 288 (2015), 39–55