• ”Non-linear homomorphims of algebras of functions are induced by thick morphisms' (May,2020)
  • Thick morphisms on supermanifolds, quantum mechanics and spinor representation” (Geometry and Physics, (2019) with T.Voronov)
  • Diophantine equations, Platonic solids, McKay correspondence, equivelar maps and Vogel’s universality (Geometry and Physics, 114, (2017), 8590, with R.L. Mkrtchyan)
  • Universal volume of groups and anomaly of Vogel’s symmetry (Lett. in Math.Phys., (2017), 107, 8, 1491—1514, with R.L.Mkrtchyan)
  • Odd potential; geometrical meaning of Laplacian, and modular class (Lett. Math. Phys., 107,7, pp. 11951214 (2017), with M.Peddie)
  • Operator pencils on the algebra of densities (Proceedings of Steklov Institute) (With A.Biggs )
  • Kaluza-Klein theory revisited: projective structures and dufferential operators on the algebra of densities arXiv:math 1312.5208
  • Geometric constructions on the algebra of densities. arXiv:math 1310.0784.. (With T. Voronov)
  • Operator pencil passing through a given operator math-archive:1301.6625. (With A.Biggs ))
  • Second order operators on the algebra of densitities and a groupid of connections (Max-Planck-Institut fur mathemtaik Preprint series 2011 (73), (With T. Voronov)
  • Berezinians, exterior powers and recurrent sequences. (Lett. Math. Phys. 74 (2005), Number 2, November 2005 [Berezin Memorial Volume], 201-228, arXiv:math.DG/0309188. (With T. Voronov))
  • On generalized symmetric powers and a generalization of Kolmogorov-Gelfand-Buchstaber-Rees theory. Russian Math. Surveys 62 (3) (2007), 209-210, arXiv:math.RA/0612072. (With T. Voronov)
  • Semidensities on odd symplectic supermanifolds. {Comm. Math. Phys.}, v. 247 (2004), pp. 353-390. ArXiv:math.DG/0012256}.
  • On odd Laplace operators. Lett. Math. Phys. 62 (2002), 127-142, arXiv:math.DG/0205202. (With T. Voronov)
  • On odd Laplace operators. II, In: Geometry, Topology and Mathematical Physics. S. P. Novikov's seminar: 2002 - 2003, V. M. Buchstaber and I. M. Krichever, eds. AMS Translations, Ser. 2, Vol. 212, Amer. Math. Soc., Providence, RI, 2004, 179-205, arXiv:math.DG/0212311. (With T. Voronov)