PUBLICATIONS:

[26] “Equivalence of 3-dimensional Cauchy-Riemann manifolds and multisummability theory”, Adv. Math. 397 (2022), Paper No. 108117, 42 pp. (with B. Lamel and L.Stolovitch).

[25] “The equivalence theory for infinite type hypersurfaces in C2”, Trans. Amer. Math. Soc. 375 (2022), no. 6, 4019–4056. (with P.Ebenfelt and B. Lamel).

[24] “Classification of homogeneous strictly pseudoconvex hypersurfaces in C3”, to appear in Math. Research Letters, available at https://arxiv.org/abs/1906.11345 (with A.Loboda).

[23] “A complete normal form for everywhere Levi degenerate hypersurfaces in C3”, Adv. Math. 408 (2022), Paper No. 108590, 37 pp. (with M.Kolar).

[22] “Real-analytic coordinates for smooth strictly pseudoconvex CR-structures”, to appear in Math. Research Letters, available at https://arxiv.org/abs/1906.09989 (with D.Zaitsev).

[21] “Convergent normal form for real hypersurfaces at generic Levi degeneracy”, J. Reine Angew. Math. (Crelle’s Journal), 49 (2019), 201–225 (with D. Zaitsev).

[20] “On Orbits of Action of 5-Dimensional Non-Solvable Lie Algebras in Three- Dimensional Complex Space”, Doklady Mathematics, V. 100, 1 (2019), 377–379 (with A. Loboda).

[19] “Regularity of CR-mappings into Levi-degenerate hypersurfaces”, Comm. Anal. Geom. 29 (2021), no. 1, 151–181. (with B. Lamel and M. Xiao).

[18] “Regularity of CR-mappings between Fuchsian type hypersurfaces in C2”, Complex Anal. Synerg. 6 (2020), no. 2, Paper No. 17, 11 pp. (with B. Lamel and P. Ebenfelt).

[17] “On the analyticity of CR-diffeomorphisms”, American Journal of Mathematics (AJM), 140 (2018), no. 1, 139–188 (with B. Lamel).

[16] “On the embeddability of real hypersurfaces into hyperquadrics”, Adv. Math., 331 (2018), 239–267, (with M. Xiao).

[15] “Normal form for second order differential equations”, Journal of Dynamics and Control Systems, 24 (2018), no. 4, 541–562. (with D. Zaitsev).

[14] “Analytic differential equations and spherical real hypersurfaces”, Journal of Differential Geometry (JDG), Vol. 102, No. 1 (2016), pp. 67 - 126 (with R. Shafikov).

[13] “Divergent CR-equivalences and Meromorphic Differential Equations”, Journal of the European Math. Society (JEMS), (2016) 13, 2785–2819 (with R. Shafikov).

[12] “Convergent normal form and canonical connection for hypersurfaces of finite type in C2”, Adv. Math., 2015, pp. 670-705 (with D. Zaitsev).

[11] “New extension phenomena for solutions of tangential Cauchy-Riemann PDEs”, Comm. Partial Differential Equations , 41 (2016), no. 6, 925–951. (with B. Lamel).

[10] “Sphericity of a real hypersurface via projective geometry”, in International Journal of Mathematics (IJM), Vol. 27, No. 12 (2016) .

[9] “Sphere in C2 as a model for Levi-degenerate hypersurfaces in C3”, Russian Journal of Math. Physics, 2015, V.22, N 4. (with V. Beloshapka).

[8] “Analytic continuation of holomorphic mappings from nonminimal hypersurfaces”, Indiana Univ. Math. Journal, 62 (2013), no. 6, 1891–1916. (with R. Shafikov).

[7] “Normal forms in CR-geometry: a survey”, in Contemporary Mathematics, Volume 681, 2017 (with M. Kolar and D. Zaitsev).

[6] “Classification of homogeneous CR-manifolds in dimension 4”, Journal of Mathematical Analysis and Applications, 2011, V. 374, no 2, pp. 655-672 (with V. Beloshapka).

[5] “Homogeneous hypersurfaces in C3, associated with a model CR-cubic”, Journal of Geometric Analysis, 2010, no 3, pp.538 - 564 (with V. Beloshapka).

[4] “Continuation of CR-Automorphisms of Levi Degenerate Hyperquadrics to the Projective Space”, Illinois J. of Math., 2010, V.54, n.2, pp. 747-752, (with A. Isaev).

[3] “Envelopes of holomorphy of model manifolds”, Ph.D Thesis, Moscow State University, 2008.

[2]. “On envelopes of holomorphy of model manifolds”, Izvestija Mathematics, 2007, v.71, no 3, pp.545 - 571.

[1] “The envelope of holomorphy of a model third-degree surface and the rigidity phenomenon”, Proceedings of the Steklov Institute of Mathematics, 2006, no 2, vol.253, pp.22-36, (with R. Gammel).