Speciality:
01.01.04 (Geometry and topology)
E-mail: Keywords: lattices and tilings of space,
crystals and quasicrystals,
aperiodic tilings,
polytopes,
Rigid and flexible polyhedra,
Ising model,
mathematics education.
Main publications:
A local criterion for regularity of a system of points // Soviet Math. Dokl., 17, 1976, 319–322 (with B. N. Delone, M. I. Stogrin, and R. V. Galiulin).
A local criterion for regularity of a system of points // Soviet Math. Dokl., 17, 1976, 319–322 (with B. N. Delone, M. I. Stogrin, and R. V. Galiulin).
The Countability of a Tiling Family and the Periodicity of Tiling // Discr. and Comput. Geometry, 13, 1995, 405–414.
The Extension Theorem // Discrete Mathematics, 221(1–3), 2000, 43–60.
The two-dimensional Ising model and the Kac–Ward determinant // Izvestiya of Russian Academy of Sciences, Mathematics, 63(4), 1999, 707–727 (jointly with Ju. M. Zinoviev, A. S. Mischenko, M. A. Stanko, and M. I. Stogrin).
Multiregular point systems // Discr. and Comput. Geometry, 20, 1998, 477–498 (jointly with J. C. Lagarias and M. Seneshal).
