
Quasiclassical approximation for magnetic monopoles.
Proc. Steklov Inst. Math. 310 (2020)
(with Yu.A. Kordyukov)

Trace formula for the magnetic Laplacian.
Russian Math. Surveys 74:2 (2019), 325361.
(with Yu.A. Kordyukov)
[journal]

Discrete analog of the Jacobi set for vector fields.
Computational Topology in Image Context, 111, Lecture Notes in Comput. Sci., 11382, Springer, Cham, 2019.
(with A.N. Adilkhanov and A.V. Pavlov)
[book]

DarbouxMoutard transformations and PoincareSteklov operators.
Proc. Steklov Inst. Math. 302 (2018), 315324.
(with R.G. Novikov)

The generalized Kummer construction and cohomology rings of G_2manifolds.
Sb. Math. 209:12 (2018), 18031811.

Topological characteristics of digital models of geological core.
Machine Learning and Knowledge Extraction, 273281, Lecture Notes in Comput. Sci., 11015, Springer, Cham, 2018.
(with R.R. Gilmanov, A.V. Kalyuzhnyuk, and A.A. Yakovlev)
[book]

A canonical basis of twocycles on a K3 surface.
Sb. Math. 209:8 (2018), 12481256.

Topological characteristics of oil and gas reservoirs and their applications.
Towards Integrative Machine Learning and Knowledge Extraction, 182193, Lecture Notes in Comput. Sci., 10344, Lecture Notes in Artificial Intelligence, Springer, Cham, 2017.
(with V.A. Baikov, R.R. Gilmanov, and A.A. Yakovlev)
[book]

The multiplicity problem for periodic orbits of magnetic flows on the 2sphere.
Advanced Nonlinear Studies 17 (2017), 1730.
(with A. Abbondandolo, L. Asselle, G. Benedetti, and M. Mazzucchelli)
[journal]

On numerical study of the discrete spectrum of a twodimensional Schrodinger operator with soliton potential.
Communications in Nonlinear Science and Numerical Simulation 42 (2017), 8392.
(with A.N. Adilkhanov)
[journal]

On first integrals of geodesic flows on a twotorus.
Proc. Steklov Inst. Math. 295 (2016), 225242.
[journal]

The Moutard transformation of twodimensional Dirac operators and the conformal geometry of surfaces in fourspace.
Math. Notes 100:6 (2016), 835846.
(with R.M. Matuev)
[journal]

Moutardtype transform for matrix generalized analytic functions and gauge transforms.
Russian Math. Surveys 71:5 (2016), 970972.
(with R.G. Novikov)
[journal]

The spaces of noncontractible closed curves in compact space forms.
Sb. Math. 207:10 (2016), 14581470.
[journal]

On an integrable magnetic geodesic flow on the twotorus.
Regular and Chaotic Dynamics 20 (2015), 667678.
[journal]

On a higher dimensional generalization of Seifert fibrations.
Proc. Steklov Inst. Math. 288 (2015), 145152.
[journal]

Blowing up solutions of the modified NovikovVeselov equation and minimal surfaces.
Theoret. and Math. Phys. 182:2 (2015), 173181.
[journal]

A fast decaying solution to the modified NovikovVeselov equation with a onepoint singularity.
Doklady Math. 91 (2015), 145146.
[journal]

The Moutard transformation of twodimensional Dirac operators and the Mobius geometry.
Math. Notes 97:1 (2015), 124135.
[journal]

Euclidean minimal tori with planar ends and elliptic solitons.
Int. Math. Res. Not. IMRN 2015 (2015), no. 14, 59075932.
(with C. Bohle)
[journal]

Twodimensional von NeumannWigner potentials with a multiple positive eigenvalue.
Functional Anal. Appl. 48:4 (2014), 295297.
(with R.G. Novikov and S.P. Tsarev)
[journal]

Spectral curves for CauchyRiemann operators on punctured elliptic curves.
Functional Anal. Appl. 47:4 (2013), 319322.
(with C. Bohle)
[journal]

The Moutard transformation and twodimensional multipoint deltatype potentials.
Russian Math. Surveys 68:5 (2013), 957959.
(with R.G. Novikov)
[journal]

Numerical analysis of topological characteristics of threedimensional geological models of oil and gas fields.
Mathematical Modeling 25:10 (2013), 1931. (Russian)
(with Ya.V. Bazaikin, V.A. Baikov, and A.A. Yakovlev)
[pdf]

Faddeev eigenfunctions for twodimensional Schrodinger operators via the Moutard transformation.
Theoret. and Math. Phys. 176 (2013), 11761183.
(with S.P. Tsarev)
[journal]

On a numerical algorithm for computing topological characteristics of threedimensional bodies.
Zh. Vychisl. Mat. Mat. Fiz. 53:4 (2013), 523530. (Russian)
(with Ya.V. Bazaikin)
[pdf]

About a role of mean curvature in magnetic mirror geometry.
Fusion Science and Technology 59t:1 (2011), 190192.
(with A.A. Skovoroda)
[journal]

Singular spectral curves in finite gap integration.
Russian Math. Surveys 66:1 (2011), 107144.
[journal]

Periodic magnetic geodesics on almost every energy level via variational methods.
Regular and Chaotic Dynamics 15 (2010), 598605.
[journal]

The type numbers of closed geodesics.
Regular and Chaotic Dynamics 15 (2010), 84–100.
[journal]

Role of the mean curvature in the geometry of magnetic confinement configurations.
Plasma Physics Reports 36 (2010), 819823.
(with A.A. Skovoroda)
[journal]

The Moutard transformation: an algebraic formalism via pseudodifferential operators and applications.
OCAMI (Osaka City University Advanced Mathematical Institute) Study Series, V. 3, 2010, pp. 169183.
(with S.P. Tsarev)
[pdf]

On the Moutard transformation and its applications to spectral theory and soliton equations.
J. of Math. Sciences 170 (2010), 371387.
(with S.P. Tsarev)
[journal]

Blowing up solutions of the NovikovVeselov equation.
Doklady Math. 77 (2008), 467468.
(with S.P. Tsarev)
[journal]

Spectral conservation laws for periodic nonlinear equations of the Melnikov type.
Amer. Math. Soc. Transl. Ser. 2, V. 224, 2008, P. 125138.
(with P.G. Grinevich)
[pdf]

Twodimensional rational solitons and their blowup via the Moutard transformation.
Theoret. and Math. Phys. 157 (2008), 15251541.
(with S.P. Tsarev)
[journal]

Surfaces in threedimensional Lie groups in terms of spinors.
RIMS Kokyuroku 1605 (2008), 133150.
[pdf]

Twodimensional Schrodinger operators with fast decaying rational potential and multidimensional
L_{2}kernel.
Russian Math. Surveys 62:3 (2007), 631633.
(with S.P. Tsarev)
[journal]
 Infinitesimal Darboux transformations of the spectral curves of
tori in the fourspace.
International Mathematics Research Notices 2007 (2007), rnm005, 121.
(with P.G. Grinevich)
[journal]

Surfaces of revolution in the Heisenberg group and
the spectral generalization of the Willmore functional.
Siberian Math. J. 48:3 (2007), 395407.
(with D.A. Berdinsky)
[journal]
 Some algebraic examples of Frobenius manifolds.
Theoret. and Math. Phys. 151 (2007), 604613.
(with A.E. Mironov)
[journal]
 Orthogonal curvilinear coordinate systems corresponding to singular spectral curves.
Proc. Steklov Inst. Math. 255 (2006), 169184.
(with A.E. Mironov)
[journal]

Twodimensional Dirac operator and surface theory.
Russian Math. Surveys 61:1 (2006), 79159.
[journal]

Surfaces in the fourspace and the DaveyStewartson equations.
Journal of Geometry and Physics 56 (2006), 12351256.
[journal]
 Surfaces in threedimensional Lie groups.
Siberian Math. J. 46:6 (2005), 10051019.
(with D.A. Berdinsky)
[journal]
 On the integrability of the ncentre problem.
Mathematische Annalen 331 (2005), 631649.
(with A. Knauf)
[journal]
 Finite gap theory of the Clifford torus.
International Mathematics Research Notices (2005), 103120.
[journal]
 Geometric properties of dynamical systems.
Proceedings of the conference "Mathematics, Mechanics, and
Informatics  2002" dedicated to 10th anniversary of RFBR,
Moscow: Fizmatlit, 2005. P. 276288.
[pdf]

The integrability of the ncenter problem at high energies.
Doklady Math. 70 (2004), 502503.
(with A. Knauf)
[pdf]

An example of jump from chaos to integrability in magnetic geodesic flows.
Math. Notes 76 (2004), 587589.
[journal]

Tame integrals of motion and ominimal structures.
Amer. Math. Soc. Transl. Ser. 2, V. 212, 2004, P. 317324.
[pdf]

Dirac operators and conformal invariants of tori in the threespace.
Proc. Steklov Inst. Math. 244 (2004), 233263.
[pdf]

On twodimensional finitegap potential Schrodinger and Dirac operators
with singular spectral curves.
Siberian Math. J. 44:4 (2003), 686694.
[journal]

On the formality problem for symplectic manifolds.
AMS. Contemp. Math., V. 288 (2001), 19.
(with I.K. Babenko)
[pdf]

Integrable geodesic flows on the suspensions of toric automorphisms.
Proc. Steklov Inst. Math. 231 (2000), 4258.
(with A.V. Bolsinov)
[pdf]

Massey products in symplectic manifolds.
Sb. Math. 191 (2000), 11071146.
(with I.K. Babenko)
[journal]

Integrable geodesic flows with positive topological entropy.
Inventiones Mathematicae 140 (2000), 639650.
(with A.V. Bolsinov)
[journal]

On nonformal simply connected symplectic manifolds.
Siberian Math. J. 41:2 (2000), 204217.
(with I.K. Babenko)
[journal]

An example of an integrable geodesic flow with positive
topological entropy.
Russian Math. Surveys 54:4 (1999), 833834.
(with A.V. Bolsinov)
[journal]

Finitegap solutions of the modified NovikovVeselov equation,
their spectral properties, and applications.
Siberian Math. J. 40 (1999), 11461156.
[journal]

The Weierstrass representation of spheres, the Willmore numbers, and
soliton spheres.
Proc. Steklov Inst. Math. 225 (1999), 222243.
[pdf]

A remark on positively curved manifolds of dimensions 7 and 13.
Tensor and Vector Analysis, Gordon and Breach, Amsterdam, 1998, 282295.
[pdf]

On the existence of nonformal simply connected symplectic manifolds.
Russian Math. Surveys 53:5 (1998), 10821083.
(with I.K. Babenko)
[journal]

The Weierstrass representation of closed surfaces in
R^{3}.
Functional Anal. Appl. 32:4 (1998), 258267.
[journal]

Periodic orbits in magnetic fields and Ricci curvature of Lagrangian systems.
Trans. Amer. Math. Soc. 350 (1998), 26972717.
(with A. Bahri)
[journal]

Some problems related to topology of manifolds with positive sectional
curvature.
Siberian Adv. Math. 8:4 (1998), 84108.
[pdf]

The global Weierstrass representation and its spectrum.
Russian Math. Surveys 52:6 (1997), 13301332.
[journal]
 Surfaces of revolution in terms of solitons.
Ann. Glob. Anal. Geom. 15 (1997), 419435.
[journal]

Secants of abelian varieties, theta functions and soliton equations.
Russian Math. Surveys 52:1 (1997), 147218.
[journal]

Integrable geodesic flows of nonholonomic metrics.
Journal of Dynamical Systems and Control Theory 3 (1997), 129147.
[journal]

Difference analogs of the harmonic oscillator.
Amer. Math. Soc. Transl. Ser. 2, V. 179, 1997, P. 126130.
(with S.P. Novikov)
[pdf]

Modified NovikovVeselov equation and differential geometry
of surfaces.
Amer. Math. Soc. Transl. Ser. 2, V. 179, 1997, P. 133151.
[pdf]

On totally geodesic embeddings of 7dimensional manifolds into
13dimensional manifolds of positive sectional curvature.
Sb. Math. 187 (1996), no. 12, 18531867.
[journal]

Constant mean curvature surfaces via an integrable dynamical system.
J. Phys. A : Math. Gen. 29 (1996), 12611265.
(with B.G. Konopelchenko)
[journal]
 On the twogap elliptic potentials.
Acta Applicandae Math. 36 (1994), 119124.
[journal]

The topology of Riemannian manifolds with integrable geodesic flows.
Proc. Steklov Inst. Math. 205 (1995), 139150.
[pdf]
 Closed geodesics on nonsimply connected manifolds.
Siberian Math. J. 34 (1993), 11541160.
[journal]

The LandauLifshits equation and quadruple secants of Prym varieties.
Functional Anal. Appl. 27 (1993), 222224.
[journal]

Closed nonselfintersecting extremals of multivalued functionals.
Siberian Math. J. 33 (1992), 686692.
[journal]

On the existence of three nonintersecting closed geodesics on manifolds
that are homeomorphic to the twodimensional sphere.
Russian Acad. Sci. Izv. Math. 40 (1993), 565590.
[journal]

Closed extremals on twodimensional manifolds.
Russian Math. Surveys 47:2 (1992), 163211.
[journal]

Nonselfintersecting closed extremals of multivalued or
noteverywherepositive functionals.
Math. USSRIzv. 38 (1992), 359374.
[pdf]

Prym theta functions and hierarchies of nonlinear equations.
Math. Notes 50 (1992), 723730.
[journal]

Prym varieties of branched coverings, and nonlinear equations.
Math. USSRSb. 70 (1991), 367384.
[pdf]

Twodimensional finitezone Schrodinger potential operators.
Functional Anal. Appl. 24 (1990), no. 1, 7677.
[journal]

Elliptic solutions of nonlinear equations.
Theoret. and Math. Phys. 84 (1991), 700706.
[journal]

Multivalued finitezone solutions of the equation
D u = sin u.
Math. Notes 47 (1990), 293297.
[journal]

Smooth real finitezone solutions of sineGordon type equations.
Math. Notes 47 (1990), 94100.
[journal]

On topological properties of integrable geodesic flows.
Mathematical Notes 44:2 (1988), 283284. (Russian)
[pdf]

Topological obstructions to the integrability of geodesic flows on
nonsimply connected manifolds.
Math. USSRIzv. 30 (1988), 403409.
[pdf]

On an analogue of the Novikov conjecture in a problem of RiemannSchottky
type for Prym varieties.
Sov. Math. Dokl. 35 (1987), 420424.
[pdf]

Effectivization of thetafunction formulas for twodimensional
Schrodinger potential operators that are finitegap at a certain energy
level.
Sov. Math. Dokl. 32 (1985), 843846.
[pdf]

Closed geodesics on nonsimplyconnected manifolds.
Russian Math. Surveys 40:6 (1986), 143144.
[pdf]

Periodic extremals of multivalued or not everywhere positive functionals.
Sov. Math. Dokl. 29 (1984), 1820.
(with S.P. Novikov)
[pdf]

The principle of throwing out cycles in MorseNovikov theory.
Sov. Math. Dokl. 27 (1983), 4346.
[pdf]
