List of publications
 (disclaimer: pre-prints may be less polished than the actual published papers)

  1. Topological classification of Leggett's systems in an integrable case for 3H-A, Uspekhi Math. Nauk (Russian Math. Surveys), 46, no.4 (280), 153-154 [engl: 179-181] (1991)
  2. On the extension of the symplectic structure (Russian), Proc. of the Seminar on Tensor and Vector Analysis, Moscow State University, 25, part 1, 71-75 (1993)
  3. On the extension of a symplectic structure and a pair of function at involution from S1xIxT2, Proc. of Steklov Mathematical Inst., 205, no.4, 98-108 (1994) [engl: 87-98 (1995)]
  4. Existence of a pair of additional Bott integrals for the resonant Hamiltonian system with two degrees of freedom, Proc. of Steklov Mathematical Inst., 205, no.4, 109-112 (1994) [engl: 99-102 (1995)]
  5. On an invariant of characteristic distribution, Uspekhi Math. Nauk (Russian Math. Surveys), 50, no.4, 159-160 [engl: 816--817] (1995)
  6. Note on symplectic packing construction, Russian Math. Doklady (Doklady RAN) 350, no.6, 730-734 (1996)
  7. Monotonicity of a rotation function and anti-compatible contact structures, Uspekhi Math. Nauk (Russian Math. Surveys), 51, no.1, 153-154 [engl: 148--149] (1996)
  8. On the image in H2(Q3;R) of presymplectic forms with preassigned kernel, Math. Sbornik, 188, no.1, 73-82 [engl: 75--85] (1997)
  9. Exact smooth classification of Hamiltonian vector fields on two-dimensional manifolds, Math. Notes, 61, no.2, 179-200 [engl: 146-163] (1997); [prev. preprint of ICTP, Trieste, Nov. 1994, IC/94/314]
  10. Obstructions for pseudoholomorphic mapping constructions, Uspekhi Mat. Nauk (Russian Math. Surveys), 52, no.3, 167-168 [engl: 611--612] (1997)
  11. Nijenhuis tensors and obstructions for pseudoholomorphic mapping constructions [arXiv], Math. Notes, 63, no.4, 541--561 [engl: 476--493] (1998)
  12. Examples of symplectic manifolds of the form Q3xS1, in "Topological methods in the theory of Hamiltonian systems", Eds. A.V. Bolsinov, A.T. Fomenko, A.A. Shafarevich, pp.136-146, Factorial, Moscow (1998)
  13. Some classificational problems in four dimensional geometry: distributions, almost complex structures and Monge-Ampere equations [arXiv], Math. Sbornik, 189, no.11, 61-74 [engl: 1643--1656] (1998)
  14. Symplectic and contact Lie algebras with an application to Monge-Ampere equations [arXiv], Proc. of Steklov Mathematical Inst., 221, 232-246 [engl: 221--235] (1998)
  15. Exact smooth classification of divergence-free vector fields on the surfaces of small genus, Math. Notes, 65, no.3, 336-353 [engl: 280--294] (1999)
  16. Existence of close pseudoholomorphic disks for almost complex structures and an application to the Kobayashi-Royden pseudonorm [arXiv], Functional Analysis and Its Applications, 33, no.1, pp.46-58 [engl:38-48] (1999)
  17. Pseudoholomorphic mappings and Kobayashi hyperbolicity (with Marius Overholt) [arXiv], Differential Geometry and its Applications, 11, pp. 265-277 (1999); [prev. The Kobayashi pseudodistance on almost complex manifolds, prepr. Univ. Tromsø, 97-19 (1997)]
  18. On equivalence of differential equations (with Valentin Lychagin), Acta et Comment. Univ. Tartuensis Math. 3, pp. 7-29 (1999)
  19. Classification of Monge-Ampere equations with two variables [SLS preprint], In: Geometry and topology of caustics---CAUSTICS '98 (Warsaw); Banach Center Publications, 50, 179-194 (1999)
  20. Examples of symplectic Q3xS1, Proceedings of the 8th International Conference on Differential Geometry and Its Applications, Opava, 27-31 August 2001, Part II, 93--104 (2001)
  21. Mayer brackets and solvability of PDEs ‑ I (with Valentin Lychagin) [SLS preprint], Differential Geometry and its Applications, 17, 251--272 (2002)
  22. Examples of integrable sub-Riemannian geodesic flows [arXiv], Journal on Dynamical and Control Systems, 8, no. 3, 323--340 (2002)
  23. Non-existence of higher-dimensional pseudoholomorphic submanifolds, Manuscripta Mathematica, 111, 51--69 (2003)
  24. Characteristic distributions on 4-dimensional almost complex manifolds [SLS preprint], In: "Geometry and Topology of Caustics - Caustics '02", Banach Center Publications, 62, 173--182 (2004)
  25. Deformation of big pseudoholomorphic disks and application to the Hanh pseudonorm [arXiv], Comptes Rendus – Mathematiques 338, no. 4, pp 295-299 (2004)
  26. Transitive and transversal actions of pseudogroups on submanifolds (with Valentin Lychagin) [SLS preprint], Russian Math. (Izv. VUZ, Matematika) 48, no. 11, 30-44 [engl. 27-40] (2004)
  27. A compatibility criterion for systems of PDEs and generalized Lagrange-Charpit method (with Valentin Lychagin) [SLS preprint], AIP (American Institute of Physics) Conference Proceedings, “Global Analysis and Applied Mathematics: International Workshop on Global Analysis”, 729, no. 1, 39-53 (2004)
  28. Finite Dimensional Dynamics for Kolmogorov-Petrovsky-Piskunov Equation (with Olga Lychagina) [SLS preprint], Lobachevskii Journal of Math. 19, 13-28 (2005)
  29. Mayer brackets and solvability of PDEs ‑ II (with Valentin Lychagin) [SLS preprint], Transactions A.M.S. 358, no. 3, 1077-1103 (2006)
  30. Non-degenerate geodesic equivalence implies htop(g)=0 (with Vladimir Matveev) [arXiv], Ergodic Theory and Dynamical Systems 26, 247-266 (2006)
  31. Dynamics and entropy of the Zhang model of SOC (with Martin Rypdal) [arXiv], Journal of Stat. Physics 122, no.5, 975-1039 (2006)
  32. A piece-wise affine contracting map with positive entropy (with Martin Rypdal) [arXiv], e-print: Discrete Contin. Dyn. Syst. 16, no.2, 393-394 (2006)
  33. Vanishing of the entropy pseudonorm for certain integrable systems (with Vladimir Matveev), Electronic Research Announcement of AMS 12, 19-28 (2006)
  34. Entropy via multiplicity (with Martin Rypdal) [arXiv]: Discrete and Continuous Dynamical Systems 16, no.2, 395-410 (2006)
  35. Multi-brackets of differential operators and compatibility of PDE systems  (with Valentin Lychagin), Comptes Rendus – Mathematiques Acad. Sci. Paris 342, no. 8, 557-561 (2006)
  36. Note on two compatibility criteria: Jacobi-Mayer bracket vs. differential Gröbner basis [ref], Lobachevskii Journal of Math. 23, 57-70 (2006)
  37. Invariants of pseudogroup actions: Homological methods and Finiteness theorem (with Valentin Lychagin) [arXiv], International Journal of Geometric Methods in Modern Physics 3, no. 5-6, 1131-1165 (2006)
  38. Dimension of the solutions space of PDEs (with Valentin Lychagin) [arXiv]; In: Global Integrability of Field Theories, Proc. of GIFT-2006, Ed. J.Calmet, W.Seiler, R.Tucker, 5-25 (2006)
  39. Tangent and normal bundles in almost complex geometry [arXiv], Differential Geometry and its Applications 25, no. 4 , 399-418 (2007)
  40. Spencer δ–cohomologies, restrictions and involutive symbolic PDEs (with Valentin Lychagin) [arXiv], Acta Applicandae Mathematicae 95, 31-50 (2007)
  41. Geometry of Differential equations (with V. Lychagin) [IHES preprint], In: Handbook on Global Analysis, D.Krupka and D.Saunders Eds., 725-771, 1214, Elsevier Sci. (2008)
  42. Valentin Lychagin ‑ a dedication (with I. Krasil’shchik) [UiT preprint], Acta Applicanda Mathematicae 101, no. 1-3, 1-3 (2008)
  43. Symmetry approaches for reductions of PDEs, differential constraints and Lagrange-Charpit method [MPI preprint], Acta Applicanda Mathematicae 101, no. 1-3, 145-161 (2008)
  44. Anomaly of linearization and auxiliary integrals [arXiv], In: SPT 2007 - Symmetry and Perturbation Theory, 108--115, World Sci. Publ. (2008)
  45. Invariant characterization of Liouville metrics and polynomial integrals [arXiv], Journal of Geometry and Physics 58, 979–995 (2008)
  46. Invariants and submanifolds in almost complex geometry [arXiv], Differential Geometry and its Applications, Proc. Conf. in honour of Leonhard Euler [Olomouc, August 2007], World Sci. Publ. 305–316 (2008)
  47. Differential invariants of the motion group actions (with V. Lychagin) [arXiv], in: Variations, Geometry and Physics, NOVA Scientific Publ. 237–251 (2009)
  48. Point classification of 2nd order ODEs: Tresse classification revisited and beyond [arXiv], Differential equations – Geometry, Symmetries and Integrability, Proc. ABEL SYMPOSIUM-2008, 199–221, Springer Verlag (2009)
  49. Compatibility, multi-brackets of differential operators and integrability of systems of PDEs (with Valentin Lychagin) [arXiv], Acta Applicanda Mathematicae 109, 151‑196 (2010)
  50. Involutivity of field equations [arXiv], Journal of Mathematical Physics 51, 032502 (2010)
  51. Compatibility of Gauss maps with metrics (with Jost Eschenburg, Vladimir S. Matveev, Renato Tribuzy) [arXiv], Differential Geometry and its Applications 28, 228‑235 (2010)
  52. Rank 2 distributions of Monge equations: symmetries, equivalences, extensions (with I. Anderson) [arXiv], Advances in Mathematics 228, Issue 3, 1435-1465 (2011)
  53. Finite-dimensionality in Tanaka theory [arXiv], Ann. Inst. H. Poincaré Anal. Non Linéaire 28, no. 1, 75–90 (2011)
  54. Symmetries of almost complex structures and pseudoholomorphic foliations [arXiv]
  55. Laplace transformation of Lie class ω=1 overdetermined systems [arXiv], to appear in Journal of Nonlinear Mathematical Physics
  56. Lie theorem via rank 2 distributions (integration of PDE of class ω=1) [arXiv]
  57. Nonexistence of an integral of the 6th degree in momenta for the Zipoy-Voorhees metric (with Vladimir S. Matveev) [arXiv]
  58. Symmetry, compatibility and exact solutions of PDEs [arXiv]
  59. The gap phenomenon in the dimension study of finite type systems [arXiv]
  60. Global Lie-Tresse theorem (with V. Lychagin) [arXiv]