Persons: Kruzhilin, Nikolai Georgievich

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Kruzhilin, Nikolai Georgievich

Total publications:	38 (35)
in MathSciNet:	33 (30)
in zbMATH:	29 (26)
in Web of Science:	27 (24)
in Scopus:	23 (23)
Cited articles:	20
Citations:	160
Presentations:	15

Number of views:
This page:	6415
Abstract pages:	10041
Full texts:	3617
References:	1071

Doctor of physico-mathematical sciences (2009)

Speciality:

01.01.01 (Real analysis, complex analysis, and functional analysis)

E-mail:

https://www.mathnet.ru/eng/person15258

List of publications on Google Scholar

https://zbmath.org/authors/ai:kruzhilin.nikolai-georgievich

https://mathscinet.ams.org/mathscinet/MRAuthorID/193727

https://elibrary.ru/author_items.asp?authorid=4655

https://www.webofscience.com/wos/author/record/Q-4026-2016

https://www.scopus.com/authid/detail.url?authorId=55947976100

List of publications:

scientific publications

by years

by types

by times cited

common list

		Citations (Crossref Cited-By Service + Math-Net.Ru)


2024
1.	N. G. Kruzhilin, “Local CR-diffeomorphisms of CR-quadrics of codimension two. I. Standard Hermitian quadrics”, Complex Anal. Synerg., 10:1 (2024), 1 , 5 pp. ;

2021
2.	N. G. Kruzhilin, S. Yu. Orevkov, “Plane algebraic curves in fancy balls”, Izv. Math., 85:3 (2021), 407–420
3.	N. G. Kruzhilin, “Proper holomorphic maps of bounded two-dimensional Reinhardt domains. I”, Izv. Math., 85:3 (2021), 388–406

2020
4.	N. G. Kruzhilin, “Holomorphic Maps of Levi-Degenerate Tube Hypersurfaces in $\mathbb C^3$”, Proc. Steklov Inst. Math., 311 (2020), 171–179

2019
5.	N. G. Kruzhilin, “On a local holomorphic version of the fundamental theorem of projective geometry”, Russian Math. Surveys, 74:6 (2019), 1123–1125

2018
6.	A. I. Aptekarev, V. M. Buchstaber, V. A. Vassiliev, M. L. Gromov, Yu. S. Ilyashenko, B. S. Kashin, V. M. Keselman, V. V. Kozlov, M. L. Kontsevich, I. M. Krichever, N. G. Kruzhilin, S. K. Lando, Yu. I. Manin, G. A. Margulis, S. Yu. Nemirovski, S. P. Novikov, Yu. G. Reshetnyak, Ya. G. Sinai, S. P. Suetin, D. V. Treschev, D. B. Fuchs, A. G. Khovanskii, E. M. Chirka, A. S. Schwarz, A. N. Shiryaev, “Vladimir Antonovich Zorich (on his 80th birthday)”, Russian Math. Surveys, 73:5 (2018), 935–939
7.	A. I. Aptekarev, V. K. Beloshapka, V. I. Buslaev, V. V. Goryainov, V. N. Dubinin, V. A. Zorich, N. G. Kruzhilin, S. Yu. Nemirovski, S. Yu. Orevkov, P. V. Paramonov, S. I. Pinchuk, A. S. Sadullaev, A. G. Sergeev, S. P. Suetin, A. B. Sukhov, K. Yu. Fedorovskiy, A. K. Tsikh, “Evgenii Mikhailovich Chirka (on his 75th birthday)”, Russian Math. Surveys, 73:6 (2018), 1137–1144

2016
8.	A. V. Komlov, N. G. Kruzhilin, R. V. Palvelev, S. P. Suetin, “Convergence of Shafer quadratic approximants”, Russian Math. Surveys, 71:2 (2016), 373–375
9.	J. Alper, A. V. Isaev, N. G. Kruzhilin, “Associated forms of binary quartics and ternary cubics”, Transform. Groups, 21:3 (2016), 593–618	5 ^[x]

2014
10.	A. Isaev, N. Kruzhilin, “Explicit reconstruction of homogeneous isolated hypersurface singularities from their Milnor algebras”, Proc. Amer. Math. Soc., 142:2 (2014), 581–590 , arXiv: 1203.5549	6 ^[x]

2011
11.	G. Fels, A. Isaev, W. Kaup, N. Kruzhilin, “Isolated hypersurface singularities and special polynomial realizations of affine quadrics”, J. Geom. Anal., 21:3 (2011), 767–782	6 ^[x]

2010
12.	N. G. Kruzhilin, “A generalization of Kerner's theorem on proper maps”, Russian Math. Surveys, 65:6 (2010), 1181–1182

2009
13.	N. G. Kruzhilin, Geometriya veschestvennykh podmnogoobrazii i deistvii veschestvennykh grupp na kompleksnykh oblastyakh, Diss. … dokt. fiz.-matem. nauk, MIAN, Moskva, 2009 , 242 pp.
14.	N. G. Kruzhilin, Geometriya veschestvennykh podmnogoobrazii i deistvii veschestvennykh grupp na kompleksnykh oblastyakh, Avtoreferat diss. … dokt. fiz.-matem. nauk, MIAN, Moskva, 2009 , 30 pp.
15.	A. V. Isaev, N. G. Kruzhilin, “Proper actions of Lie groups of dimension $n^2+1$ on $n$-dimensional complex manifolds”, Israel J. Math., 172:1 (2009), 193–252	2 ^[x]

2006
16.	A. V. Isaev, N. G. Kruzhilin, “Proper holomorphic maps between Reinhardt domains in $\mathbb C^2$”, Michigan Math. J., 54:1 (2006), 33–64	11 ^[x]
17.	N. G. Kruzhilin, P. A. Soldatkin, “Holomorphic Equivalence of Tube Domains in $\mathbb C^2$”, Proc. Steklov Inst. Math., 253 (2006), 90–99

2005
18.	N. Kruzhilin, A. Sukhov, “Pseudoholomorphic discs attached to CR-submanifolds of almost complex spaces”, Bull. Sci. Math., 129:5 (2005), 398–414	3 ^[x]

2004
19.	A. V. Isaev, N. G. Kruzhilin, “Effective actions of $\mathrm{SU}_n$ on complex $n$-dimensional manifolds”, Illinois J. Math., 48:1 (2004), 37–57	7 ^[x]
20.	N. G. Kruzhilin, P. A. Soldatkin, “Affine and Holomorphic Equivalence of Tube Domains in $\mathbb C^2$”, Math. Notes, 75:5 (2004), 623–634
21.	N. G. Kruzhilin, “Holomorphic automorphisms of two-dimensional hyperbolic tube domains”, Russian Math. Surveys, 59:5 (2004), 966–968

2002
22.	A. V. Isaev, N. G. Kruzhilin, “Effective actions of the unitary group on complex manifolds”, Canad. J. Math., 54:6 (2002), 1254–1279	22 ^[x]
23.	V. K. Beloshapka, V. S. Vladimirov, A. A. Gonchar, E. P. Dolzhenko, N. G. Kruzhilin, V. V. Napalkov, P. V. Paramonov, A. G. Sergeev, P. L. Ul'yanov, E. M. Chirka, “Anatolii Georgievich Vitushkin (on his 70th birthday)”, Russian Math. Surveys, 57:1 (2002), 183–190

1994
24.	N. G. Kruzhilin, “Holomorphic disks with boundaries in totally real tori in $\mathbb C^2$”, Math. Notes, 56:6 (1994), 1244–1248

1992
25.	N. G. Kruzhilin, “Two-dimensional spheres in the boundaries of strictly pseudoconvex domains in $\mathbf C^2$”, Math. USSR-Izv., 39:3 (1992), 1151–1187

1989
26.	N. G. Kruzhilin, “Holomorphic automorphisms of hyperbolic Reinhardt domains”, Math. USSR-Izv., 32:1 (1989), 15–38

1987
27.	A. G. Vitushkin, N. G. Kruzhilin, “Description of the automorphism groups of real hypersurfaces of complex space”, Investigations in the theory of the approximation of functions, Akad. Nauk SSSR Bashkir. Filial Otdel Fiz. Mat., Ufa, 1987, 26–69
28.	N. G. Kruzhilin, “Description of the local automorphism groups of real hypersurfaces”, Proceedings of the International Congress of Mathematicians (Berkeley, Calif., 1986), v. 1, 2, Amer. Math. Soc., Providence, RI, 1987, 749–758
29.	A. G. Vitushkin, N. G. Kruzhilin, “Problemy bigolomorfnoi klassifikatsii veschestvenno-analiticheskikh giperpoverkhnostei”, Bakinskaya mezhdunarodnaya topologicheskaya konferentsiya, Tezisy dokladov, AN SSSR, Baku, 1987

1986
30.	A. G. Vitushkin, V. V. Ezhov, N. G. Kruzhilin, “Continuation of holomorphic mappings along real-analytic hypersurfaces”, Proc. Steklov Inst. Math., 167 (1986), 63–102
31.	N. G. Kruzhilin, “Local automorphisms and mappings of smooth strictly pseudoconvex hypersurfaces”, Math. USSR-Izv., 26:3 (1986), 531–552

1984
32.	N. G. Kruzhilin, Otsenki izmeneniya normalnogo parametra tsepei v svyazi s zadachami prodolzheniya golomorfnykh otobrazhenii, Diss. … kand. fiz.-matem. nauk, MGU, Moskva, 1984 , 67 pp.
33.	N. G. Kruzhilin, Otsenki izmeneniya normalnogo parametra tsepei v svyazi s zadachami prodolzheniya golomorfnykh otobrazhenii, Avtoreferat diss. … kand. fiz.-matem. nauk, MGU, Moskva, 1984 , 6 pp.

1985
34.	N. G. Kruzhilin, “Foliations connected with the Monge–Ampère equation in Hartogs domains”, Math. USSR-Izv., 25:2 (1985), 419–427

1983
35.	N. G. Kruzhilin, A. B. Loboda, “Linearization of local automorphisms of pseudoconvex surfaces”, Sov. Math. Dokl., 28 (1983), 70–72
36.	A. G. Vitushkin, V. V. Ezhov, N. G. Kruzhilin, “Extension of local mappings of pseudoconvex surfaces”, Sov. Math. Dokl., 27 (1983), 580–583

1984
37.	N. G. Kruzhilin, “An estimate of the variation of a normal parameter of a chain on a pseudoconvex surface”, Math. USSR-Izv., 23:2 (1984), 367–389

1982
38.	N. G. Kruzhilin, N. V. Shcherbina, “Some examples of domains of holomorphy without analytic structure on the boundary”, Sov. Math. Dokl., 26 (1982), 542–544

Presentations in Math-Net.Ru

1.	Отображения эрмитовых CR-квадрик N. G. Kruzhilin May 27, 2024 10:30
2.	Собственные голоморфные отображения двумерных областей Рейнхардта N. G. Kruzhilin Conference on Complex Analysis and its Applications September 11, 2023 15:00
3.	Holomorphic maps preserving some complex lines N. G. Kruzhilin Virtual Workshop “Complex Analysis and Geometry” November 19, 2021 13:20
4.	A local version of the fundamental theorem of projective geometry and some applications III N. G. Kruzhilin Seminar "Complex analysis in several variables" (Vitushkin Seminar) September 22, 2021 16:45
5.	Локальный вариант фундаментальной теоремы проективной геометрии в теории $CR$-многообразий N. G. Kruzhilin August 10, 2021 14:30
6.	Fundamental theorem of projective geometry in multidimensional complex analysis N. G. Kruzhilin Multidimensional Residues and Tropical Geometry June 14, 2021 15:30
7.	A local version of the fundamental theorem of projective geometry and its applications to several complex variables N. G. Kruzhilin Steklov Mathematical Institute Seminar April 15, 2021 16:00
8.	A local holomorphic version of the fundamental theorem of projective geometry N. G. Kruzhilin Scientific session of the Steklov Mathematical Institute of RAS dedicated to the results of 2020 November 25, 2020 15:00
9.	A local version of the fundamental theorem of projective geometry and some applications II N. G. Kruzhilin Seminar "Complex analysis in several variables" (Vitushkin Seminar) February 19, 2020 16:45
10.	A local version of the fundamental theorem of projective geometry and some applications I N. G. Kruzhilin Seminar "Complex analysis in several variables" (Vitushkin Seminar) October 30, 2019 16:45
11.	Голоморфные отображения трубчатых областей и фундаментальная теорема проективной геометрии N. G. Kruzhilin International conference "8th Russian-Armenian Workshop on Mathematical Physics, Complex Analysis and Related Topics" September 20, 2019 14:45
12.	Holomorphic maps between tube domains N. G. Kruzhilin The 27th International Conference on Finite and Infinite Dimensional Complex Analysis and Applications August 15, 2019 17:30
13.	Reconstruction of a homogeneous singularity from its Milnor algebra N. G. Kruzhilin Seminar "Complex analysis in several variables" (Vitushkin Seminar) February 11, 2015 16:45
14.	Some local and global properties of proper holomorphic maps N. G. Kruzhilin Seminar "Complex analysis in several variables" (Vitushkin Seminar) April 27, 2011 16:45
15.	Holomorphic mappings of Reinhardt domains and tube domains N. G. Kruzhilin Steklov Mathematical Institute Seminar March 18, 2004 16:00

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Steklov Mathematical Institute of Russian Academy of Sciences, Moscow

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