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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:6394
Abstract pages:9968
Full texts:3606
References:1058
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

Full 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.  mathnet  crossref;

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

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

   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  mathnet  crossref  crossref  mathscinet  mathscinet  zmath  adsnasa  isi  elib  scopus

   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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib

   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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus
9. J. Alper, A. V. Isaev, N. G. Kruzhilin, “Associated forms of binary quartics and ternary cubics”, Transform. Groups, 21:3 (2016), 593–618  mathnet  crossref  mathscinet  zmath  isi  elib  scopus 5

   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  mathnet  crossref  mathscinet  zmath  isi  elib  scopus 6

   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  crossref  mathscinet  zmath  isi  elib  scopus 6

   2010
12. N. G. Kruzhilin, “A generalization of Kerner's theorem on proper maps”, Russian Math. Surveys, 65:6 (2010), 1181–1182  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib  scopus

   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  crossref  mathscinet  zmath  isi  elib  scopus 2

   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  crossref  mathscinet  zmath  isi  elib  scopus 11
17. N. G. Kruzhilin, P. A. Soldatkin, “Holomorphic Equivalence of Tube Domains in $\mathbb C^2$”, Proc. Steklov Inst. Math., 253 (2006), 90–99  mathnet  crossref  mathscinet  zmath  elib  scopus

   2005
18. N. Kruzhilin, A. Sukhov, “Pseudoholomorphic discs attached to CR-submanifolds of almost complex spaces”, Bull. Sci. Math., 129:5 (2005), 398–414  crossref  mathscinet  zmath  isi  elib  scopus 3

   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  crossref  mathscinet  zmath  isi  elib  scopus 7
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  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  scopus
21. N. G. Kruzhilin, “Holomorphic automorphisms of two-dimensional hyperbolic tube domains”, Russian Math. Surveys, 59:5 (2004), 966–968  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  scopus

   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  crossref  mathscinet  zmath  isi  elib  scopus 22
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  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi

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

   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  mathnet  crossref  mathscinet  zmath  adsnasa  isi  scopus

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

   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  mathscinet
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  mathscinet
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  mathnet  mathscinet  zmath
31. N. G. Kruzhilin, “Local automorphisms and mappings of smooth strictly pseudoconvex hypersurfaces”, Math. USSR-Izv., 26:3 (1986), 531–552  mathnet  crossref  mathscinet  zmath  isi  scopus

   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  mathnet  crossref  mathscinet  zmath  isi  scopus

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

   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  mathnet  crossref  mathscinet  zmath  isi  scopus

   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  mathnet  mathscinet  mathscinet  zmath

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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