Persons: Taimanov, Iskander Asanovich

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Taimanov, Iskander Asanovich

Statistics
in MathSciNet:	64 (62)
in zbMATH:	54 (53)
in Web of Science:	51 (50)
in Scopus:	41 (40)

Full member of the Russian Academy of Sciences

Professor

Doctor of physico-mathematical sciences (1994)

Speciality:

01.01.04 (Geometry and topology)

Birth date:

20.12.1961

E-mail:

Website:

https://old.math.nsc.ru/~taimanov

Keywords:

integrable systems, finite gap integration, nonlinear equations

Subject:

Geometry, calculus of variations in the large, soliton theory and its applications

https://www.mathnet.ru/eng/person8488

https://ru.wikipedia.org/wiki/Taimanov,_Iskander_Asanovich

List of publications on Google Scholar

https://zbmath.org/authors/ai:taimanov.iskander-a

https://mathscinet.ams.org/mathscinet/MRAuthorID/199287

https://elibrary.ru/author_items.asp?authorid=2075

https://orcid.org/0000-0002-2779-183X

https://www.webofscience.com/wos/author/record/H-1592-2016

https://www.scopus.com/authid/detail.url?authorId=6601969457

https://www.researchgate.net/profile/I-Taimanov

List of publications:

scientific publications

by years

by types

by times cited

common list

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

1.	I. A. Taimanov, “Two-dimensional Dirac operator and the theory of surfaces”, Russian Math. Surveys, 61:1 (2006), 79–159
2.	I. A. Taimanov, “The Weierstrass Representation of Closed Surfaces in $\mathbb{R}^3$”, Funct. Anal. Appl., 32:4 (1998), 258–267
3.	I. A. Taimanov, “Closed extremals on two-dimensional manifolds”, Russian Math. Surveys, 47:2 (1992), 163–211
4.	D. A. Berdinskii, I. A. Taimanov, “Surfaces in three-dimensional Lie groups”, Siberian Math. J., 46:6 (2005), 1005–1019
5.	I. A. Taimanov, “Topological obstructions to integrability of geodesic flows on non-simply-connected manifolds”, Math. USSR-Izv., 30:2 (1988), 403–409
6.	I. A. Taimanov, S. P. Tsarev, “Two-dimensional rational solitons and their blowup via the Moutard transformation”, Theoret. and Math. Phys., 157:2 (2008), 1525–1541
7.	I. K. Babenko, I. A. Taimanov, “On nonformal simply connected symplectic manifolds”, Siberian Math. J., 41:2 (2000), 204–217
8.	I. K. Babenko, I. A. Taimanov, “Massey products in symplectic manifolds”, Sb. Math., 191:8 (2000), 1107–1146
9.	I. A. Taimanov, “On first integrals of geodesic flows on a two-torus”, Proc. Steklov Inst. Math., 295 (2016), 225–242
10.	I. A. Taimanov, S. P. Tsarev, “On the Moutard transformation and its applications to spectral theory and soliton equations”, Journal of Mathematical Sciences, 170:3 (2010), 371–387
11.	I. A. Taimanov, “Secants of Abelian varieties, theta functions, and soliton equations”, Russian Math. Surveys, 52:1 (1997), 147–218
12.	I. A. Taimanov, S. P. Tsarev, “Two-dimensional Schrödinger operators with fast decaying potential and multidimensional $L_2$-kernel”, Russian Math. Surveys, 62:3 (2007), 631–633
13.	A. V. Bolsinov, I. A. Taimanov, “Integrable Geodesic Flows on the Suspensions of Toric Automorphisms”, Proc. Steklov Inst. Math., 231 (2000), 42–58
14.	I. A. Taimanov, “Nonselfintersecting closed extremals of multivalued or not everywhere positive functionals”, Math. USSR-Izv., 38:2 (1992), 359–374
15.	I. A. Taimanov, “The type numbers of closed geodesics”, Regul. Chaotic Dyn., 15:1 (2010), 84–100 ;	16 ^[x]
16.	A. E. Mironov, I. A. Taimanov, “Orthogonal Curvilinear Coordinate Systems Corresponding to Singular Spectral Curves”, Proc. Steklov Inst. Math., 255 (2006), 169–184
17.	I. K. Babenko, I. A. Taimanov, “On the existence of informal simply connected symplectic manifolds”, Russian Math. Surveys, 53:5 (1998), 1082–1083
18.	I. A. Taimanov, “The Moutard Transformation of Two-Dimensional Dirac Operators and Möbius Geometry”, Math. Notes, 97:1 (2015), 124–135
19.	I. A. Taimanov, “Blowing up solutions of the modified Novikov–Veselov equation and minimal surfaces”, Theoret. and Math. Phys., 182:2 (2015), 173–181
20.	I. A. Taimanov, “Dirac Operators and Conformal Invariants of Tori in 3-Space”, Proc. Steklov Inst. Math., 244 (2004), 233–263
21.	I. A. Taimanov, “Closed non-self-intersecting extremals of multivalued functionals”, Siberian Math. J., 33:4 (1992), 686–692
22.	A. V. Bolsinov, I. A. Taimanov, “On an example of an integrable geodesic flow with positive topological entropy”, Russian Math. Surveys, 54:4 (1999), 833–834
23.	I. A. Taimanov, “The spaces of non-contractible closed curves in compact space forms”, Sb. Math., 207:10 (2016), 1458–1470
24.	Iskander A. Taimanov, “On an Integrable Magnetic Geodesic Flow on the Two-torus”, Regul. Chaotic Dyn., 20:6 (2015), 667–678 ;	11 ^[x]
25.	I. A. Taimanov, “An Example of Jump from Chaos to Integrability in Magnetic Geodesic Flows”, Math. Notes, 76:4 (2004), 587–589
26.	I. A. Taimanov, “Finite-gap solutions of modified Veselov–Novikov equations, their spectral properties and applications”, Siberian Math. J., 40:6 (1999), 1146–1156
27.	I. A. Taimanov, “On topological properties of integrable geodesic flows”, Mat. Zametki, 44:2 (1988), 283–284
28.	I. A. Taimanov, “The global Weierstrass representation and its spectrum”, Russian Math. Surveys, 52:6 (1997), 1330–1332
29.	I. A. Taimanov, “The topology of Riemannian manifolds with integrable geodesics flows”, Proc. Steklov Inst. Math., 205 (1995), 139–150
30.	I. A. Taimanov, “Elliptic solutions of nonlinear equations”, Theoret. and Math. Phys., 84:1 (1990), 700–706
31.	I. A. Taimanov, “The Moutard Transformation for the Davey–Stewartson II Equation and Its Geometrical Meaning”, Math. Notes, 110:5 (2021), 754–766
32.	Yu. A. Kordyukov, I. A. Taimanov, “Trace formula for the magnetic Laplacian”, Russian Math. Surveys, 74:2 (2019), 325–361
33.	I. A. Taimanov, “Singular spectral curves in finite-gap integration”, Russian Math. Surveys, 66:1 (2011), 107–144
34.	I. A. Taimanov, “The Weierstrass Representation of Spheres in $\mathbb R^3$, the Willmore Numbers, and Soliton Spheres”, Proc. Steklov Inst. Math., 225 (1999), 322–343
35.	R. M. Matuev, I. A. Taimanov, “The Moutard Transformation of Two-Dimensional Dirac Operators and the Conformal Geometry of Surfaces in Four-Dimensional Space”, Math. Notes, 100:6 (2016), 835–846
36.	R. G. Novikov, I. A. Taimanov, S. P. Tsarev, “Two-Dimensional von Neumann–Wigner Potentials with a Multiple Positive Eigenvalue”, Funct. Anal. Appl., 48:4 (2014), 295–297
37.	A. E. Mironov, I. A. Taimanov, “Some algebraic examples of Frobenius manifolds”, Theoret. and Math. Phys., 151:2 (2007), 604–613
38.	I. A. Taimanov, “On two-dimensional finite-gap potential Schrödinger and Dirac operators with singular spectral curves”, Siberian Math. J., 44:4 (2003), 686–694
39.	I. A. Taimanov, “Prym varieties of branched coverings and nonlinear equations”, Math. USSR-Sb., 70:2 (1991), 367–384
40.	I. A. Taimanov, “The principle of throwing out cycles in Morse–Novikov theory”, Dokl. Akad. Nauk SSSR, 268:1 (1983), 46–50
41.	R. G. Novikov, I. A. Taimanov, “Darboux–Moutard transformations and Poincaré–Steklov operators”, Proc. Steklov Inst. Math., 302 (2018), 315–324
42.	Ya. V. Bazaikin, V. A. Baikov, I. A. Taimanov, A. A. Yakovlev, “Numerical analysis of topological characteristics of three-dimensional geological models of oil and gas fields”, Mat. Model., 25:10 (2013), 19–31
43.	I. A. Taimanov, “On totally geodesic embeddings of 7-dimensional manifolds of positive sectional curvature”, Sb. Math., 187:12 (1996), 1853–1867
44.	Yu. A. Kordyukov, I. A. Taimanov, “Quasi-classical approximation for magnetic monopoles”, Russian Math. Surveys, 75:6 (2020), 1067–1088
45.	I. A. Taimanov, “A canonical basis of two-cycles on a $K3$ surface”, Sb. Math., 209:8 (2018), 1248–1256
46.	R. G. Novikov, I. A. Taimanov, “Moutard type transformation for matrix generalized analytic functions and gauge transformations”, Russian Math. Surveys, 71:5 (2016), 970–972
47.	I. A. Taimanov, S. P. Tsarev, “Faddeev eigenfunctions for two-dimensional Schrödinger operators via the Moutard transformation”, Theoret. and Math. Phys., 176:3 (2013), 1176–1183 ;
48.	D. A. Berdinskii, I. A. Taimanov, “Surfaces of revolution in the Heisenberg group and the spectral generalization of the Willmore functional”, Siberian Math. J., 48:3 (2007), 395–407
49.	I. A. Taimanov, “On the existence of three nonselfintersecting closed geodesics on manifolds homeomorphic to the 2-sphere”, Russian Acad. Sci. Izv. Math., 40:3 (1993), 565–590
50.	I. A. Taimanov, “Prym's theta-function and hierarchies of nonlinear equations”, Math. Notes, 50:1 (1991), 723–730
51.	I. A. Taimanov, “Closed geodesics on non-simply-connected manifolds”, Russian Math. Surveys, 40:6 (1985), 143–144
52.	Yuri A. Kordyukov, Iskander A. Taimanov, “Trace Formula for the Magnetic Laplacian on a Compact Hyperbolic Surface”, Regul. Chaotic Dyn., 27:4 (2022), 460–476 ;	3 ^[x]
53.	I. A. Taimanov, “Generalised Kummer construction and the cohomology rings of $G_2$-manifolds”, Sb. Math., 209:12 (2018), 1803–1811
54.	R. G. Novikov, I. A. Taimanov, “The Moutard transformation and two-dimensional multipoint delta-type potentials”, Russian Math. Surveys, 68:5 (2013), 957–959
55.	Yu. A. Kordyukov, I. A. Taimanov, “Quasi-Classical Approximation of Monopole Harmonics”, Math. Notes, 114:6 (2023), 1277–1288
56.	K. Bole, I. A. Taimanov, “Spektralnye krivye operatorov Koshi–Rimana na ellipticheskikh krivykh s vykolotymi tochkami”, Funkts. analiz i ego pril., 47:4 (2013), 86–90	2 ^[x]
57.	I. A. Taimanov, “Closed geodesics on non-simply-connected manifolds”, Siberian Math. J., 34:6 (1993), 1154–1160
58.	I. A. Taimanov, “Smooth real finite-zonal solutions of sine-Gordon equations”, Math. Notes, 47:1 (1990), 94–100
59.	S. P. Novikov, I. A. Taimanov, “Periodic extremals of multivalued or not everywhere positive functionals”, Dokl. Akad. Nauk SSSR, 274:1 (1984), 26–28
60.	Iskander A. Taimanov, “Finite-zone $\mathcal{PT}$-potentials”, Funct. Anal. Appl., 58:4 (2024), 438–450
61.	I. A. Taimanov, “Geometry and quasiclassical quantization of magnetic monopoles”, Theoret. and Math. Phys., 218:1 (2024), 129–144
62.	A. E. Mironov, A. Senninger, I. A. Taimanov, “Orthogonal Curvilinear Coordinate Systems and Torsion-Free Sheaves over Reducible Spectral Curves”, Math. Notes, 114:4 (2023), 573–582
63.	I. A. Taimanov, “On a higher dimensional generalization of Seifert fibrations”, Proc. Steklov Inst. Math., 288 (2015), 145–152
64.	I. A. Taimanov, “The Landau–Lifshits Equation and Quadrisecants of Prym Varieties”, Funct. Anal. Appl., 27:3 (1993), 222–224
65.	I. A. Taimanov, “Two-dimensional finite-zone Schrodinger potential operators”, Funct. Anal. Appl., 24:1 (1990), 76–77
66.	I. A. Taimanov, “On an analogue of the Novikov conjecture in a problem of Riemann–Schottky type for Prym varieties”, Dokl. Akad. Nauk SSSR, 293:5 (1987), 1065–1068
67.	Yi C. Huang, Iskander A. Taimanov, “The Ozawa Solution to the Davey – Stewartson II Equations and Surface Theory”, Regul. Chaotic Dyn., 30:4 (2025), 612–617 ;
68.	Manuel Amann, Iskander A. Taimanov, “On the formality of nearly Kähler manifolds and of Joyce's examples in $\mathrm{G}_2$-holonomy”, Mosc. Math. J., 24:4 (2024), 495–512 ;
69.	I. A. Taimanov, “Central Extensions of Lie Algebras, Dynamical Systems, and Symplectic Nilmanifolds”, Proc. Steklov Inst. Math., 327 (2024), 300–312
70.	I. A. Taimanov, “Floquet–Bloch Functions on Non-simply Connected Manifolds, the Aharonov–Bohm Fluxes, and Conformal Invariants of Immersed Surfaces”, Proc. Steklov Inst. Math., 325 (2024), 280–291 ;
71.	Ya. V. Bazaikin, I. A. Taimanov, Zh. Vychisl. Mat. Mat. Fiz., 53:4 (2013), 523–530
72.	I. A. Taimanov, “Multivalued finite-zone solutions of the equation $\Delta u=\sin u$”, Math. Notes, 47:3 (1990), 293–297
73.	I. A. Taimanov, “Effectivization of theta function formulas for two-dimensional potential Schrödinger operators that are finite-zone at one energy level”, Dokl. Akad. Nauk SSSR, 285:5 (1985), 1067–1070
74.	I. A. Taimanov, “Periodic magnetic geodesics on almost every energy level via variational methods”, Regul. Chaotic Dyn., 15:4-5 (2010), 598–605	4 ^[x]
75.	I. Taimanov, Kvant, 2019, no. 9, 9–13
76.	I. A. Taimanov, K. K. Tarasevich-Nikolaev, “Viktor Sergeevich Guba (obituary)”, Russian Math. Surveys, 80:3 (2025), 531–532
77.	V. V. Kozlov, I. A. Taimanov, “Mathematical culture of the society: its value and development”, Russian Math. Surveys, 80:1 (2025), 169–175
78.	I. A. Taimanov, “A.D. Taimanov's theorems”, Sib. Èlektron. Mat. Izv., 20:2 (2023), 1160–1184
79.	I. A. Dynnikov, A. A. Glutsyuk, A. E. Mironov, I. A. Taimanov, A. Yu. Vesnin, “The Conference “Dynamics in Siberia”, Novosibirsk, February 25 – March 2, 2019”, Sib. elektron. matem. izv., 16 (2019), 16–39
80.	I. A. Taimanov, “Place of the history of geometry in the popularization and teaching of mathematics”, Sib. Èlektron. Mat. Izv., 14 (2017), 31–42

Presentations in Math-Net.Ru

1.	Integrable surfaces in terms of a complex parameter I. A. Taimanov International Conference on Complex Analysis Dedicated to the Memory of Andrei Gonchar and Anatoliy Vitushkin October 27, 2025 11:30
2.	Closed magnetic geodesics I. A. Taimanov Conference “Geometry, Topology and Mathematical Physics” dedicated to the memory of Sergey Petrovich Novikov June 2, 2025 13:00
3.	Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds I. A. Taimanov Conference Regular & Chaotic Dynamics in memory of Alexey V. Borisov March 27, 2025 12:00
4.	Периодические магнитные геодезические I. A. Taimanov December 12, 2024 11:00
5.	Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds Iskander Taimanov Sino-Russian Interdisciplinary Mathematical Conference-2 November 29, 2024 10:30
6.	Central extensions of Lie algebras, dynamical systems, and symplectic nilmanifolds I. A. Taimanov Dynamics days in Sirius. On the occasion of academician Dmitry V. Treschev’s anniversary October 28, 2024 10:40
7.	Конечнозонные PT-потенциалы I. A. Taimanov Conference dedicated to 70th anniversary of A. L. Skubachevsky December 14, 2023 10:00
8.	Bloch function on non-simply-connected manifolds I. A. Taimanov The ninth international conference "Quasilinear Equations, Inverse Problems and their Applications" (QIPA 2023) December 4, 2023 10:30
9.	Formation of singularities of two-dimensional soliton equations represented by $L,A,B$-triples I. A. Taimanov Seminar on Analysis, Differential Equations and Mathematical Physics May 18, 2023 18:00
10.	Geometry and formality of manifolds I. A. Taimanov Conference "Kolmogorov-120. MIAN" April 26, 2023 15:00
11.	Поверхности в четырехмерном пространстве и формирование особенностей решений уравнения Дэви-Стюартсона I. A. Taimanov Conference “Geometry, topology and mathematical physics” on the occasion of the 85th anniversary of S.P. Novikov and the 80th anniversary of V.M. Buchstaber April 10, 2023 10:30
12.	Quasiclassical approximation for magnetic monopoles I. A. Taimanov International Conference Dedicated to the 100th Anniversary of the Birthday of V. S. Vladimirov (Vladimirov-100) January 12, 2023 11:30
13.	Formation of singularities of 2D soliton equations represented by $L,A,B$-triples I. A. Taimanov Joint Mathematical seminar of Saint Petersburg State University and Peking University October 20, 2022 16:00
14.	Exact solutions of the Davey-Stewartson equation and minimal surfaces in the four-space I. A. Taimanov Regular and Chaotic Dynamics November 30, 2021 12:20
15.	Creation of singuarities of 2D soliton equations represented by $L, A, B$–triples I. A. Taimanov International Conference "Nonlinear Waves and Frobenius Structures in Geometry and Physics" Dedicated to the Memory of Boris Dubrovin November 19, 2021 18:30
16.	Магнитные геодезические потоки: задачи интегрирования и квантования I. A. Taimanov Steklov Mathematical Institute Seminar June 18, 2020 16:00
17.	Обобщенная конструкция Куммера и кольца когомологий I. A. Taimanov Meetings of the Moscow Mathematical Society April 28, 2020 18:30
18.	Quasiclassical approximation for magnetic monopoles I. A. Taimanov International Conference "Classical Mechanics, Dynamical Systems and Mathematical Physics" on the occasion of V. V. Kozlov 70th birthday January 23, 2020 11:50
19.	Кольца когомологий римановых многообразий со специальными группами голономий I. A. Taimanov December readings in Tomsk December 13, 2018 16:10
20.	Moutard transformation and its applications I. A. Taimanov International conference "Topology and Physics" dedicated to the 80th birthday of S P Novikov September 5, 2018 15:00
21.	On the cohomology rings of Riemannian manifolds with special holonomy Iskander A. Taimanov International conference "Algebraic Topology, Combinatorics, and Mathematical Physics" on occasion of Victor Buchstaber's 75th birthday May 28, 2018 10:00
22.	Теория пересечений и кольца когомологий римановых многообразий со специальными группами голономий I. A. Taimanov December 9, 2017 10:55
23.	The spaces of non-contractible closed curves in compact space forms I. A. Taimanov International Conference “Anosov Systems and Modern Dynamics” dedicated to the 80th anniversary of Dmitry Anosov December 19, 2016 15:00
24.	Сингулярные спектральные кривые и криволинейные ортогональные координаты I. A. Taimanov Annual memorial conference dedicated to the memory of Andrei Nikolaevich Tyurin October 26, 2016 16:40
25.	The spaces of non-contractible closed curves in compact space forms I. A. Taimanov III International Conference "Quantum Topology" June 22, 2016 10:00
26.	Преобразование Мутара двумерных операторов Дирака I. A. Taimanov Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) June 10, 2015 14:00
27.	Periodic problem for magnetic geodesics I. A. Taimanov International scientific conference "Days of Classical Mechanics" January 26, 2015 15:20
28.	Mutar transformations for two-dimensional differential operators I. A. Taimanov The Seventh International Conference on Differential and Functional Differential Equations August 24, 2014 10:55
29.	Преобразование Мутара двумерных операторов Шредингера I. A. Taimanov I. M. Gelfand and Modern Mathematics December 18, 2013 10:45
30.	Faddeev eigenfunctions for two-dimensional Schrodinger operators via the Moutard transformation S. P. Tsarev, I. A. Taimanov International Workshop «Geometric Structures in Integrable Systems» November 1, 2012 10:00
31.	Isoperimetric problems in three-dimensional homogeneous spaces and integrable systems I. A. Taimanov Sixth International Conference on Differential and Functional Differential Equations DFDE-2011 August 16, 2011 10:00
32.	Преобразования Дарбу–Мутара и их применения к спектральной теории и нелинейным уравнениям I. A. Taimanov Meetings of the Moscow Mathematical Society April 7, 2009
33.	Инфинитезимальные преобразования Дарбу и конформная инвариантность спектральных кривых для торов в 4-х мерном пространстве P. G. Grinevich, I. A. Taimanov Seminar of the Department of Geometry and Topology "Geometry, Topology and Mathematical Physics", Steklov Mathematical Institute of RAS (Novikov Seminar) December 8, 2006

Books in Math-Net.Ru

Mathematical Aspects of Mechanics, Collected papers. Dedicated to Dmitry Valerevich Treschev on the occasion of his 60th birthday and to Sergey Vladimirovich Bolotin on the occasion of his 70th birthday, Trudy Mat. Inst. Steklova, 327, ed. V. V. Kozlov, I. A. Taimanov, A. T. Il'ichev, A. P. Chugainova, I. Yu. Polekhin, 2024, 338 с.
http://mi.mathnet.ru/book2006
Selected issues of mathematics and mechanics, Collected papers. On the occasion of the 70th birthday of Academician Valery Vasil'evich Kozlov, Trudy Mat. Inst. Steklova, 310, ed. D. V. Treschev, S. V. Bolotin, A. G. Kulikovskii, I. A. Taimanov, 2020, 341 с.
http://mi.mathnet.ru/book1805

Organisations