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- S. P. Novikov

Discipline name
D-index
D-index (Discipline H-index) only includes papers and citation values for an examined
discipline in contrast to General H-index which accounts for publications across all
disciplines.
Citations
Publications
World Ranking
National Ranking

Mathematics
D-index
41
Citations
15,291
215
World Ranking
1245
National Ranking
13

2005 - Wolf Prize in Mathematics for his fundamental and pioneering contributions to algebraic and differential topology, and to mathematical physics, notably the introduction of algebraic-geometric methods.

1994 - Member of the National Academy of Sciences

1990 - Member of Academia Europaea

1970 - Fields Medal of International Mathematical Union (IMU) Made important advances in topology, the most well-known being his proof of the topological invariance of the Pontryagin classes of the differentiable manifold. His work included a study of the cohomology and homotopy of Thom spaces.

- Quantum mechanics
- Mathematical analysis
- Geometry

S. P. Novikov spends much of his time researching Mathematical physics, Mathematical analysis, Poisson bracket, Pure mathematics and Korteweg–de Vries equation. The various areas that S. P. Novikov examines in his Mathematical physics study include Novikov–Veselov equation, Inverse problem and Riemannian geometry. His Mathematical analysis study frequently draws connections to adjacent fields such as Abelian group.

He has included themes like Calculus of variations, Dynamical systems theory and Algebra in his Pure mathematics study. His biological study spans a wide range of topics, including Integrable system, Quantum electrodynamics, Periodic problem and Schrödinger equation. S. P. Novikov combines subjects such as Inverse scattering problem and Quantum inverse scattering method with his study of Manakov system.

- Theory of Solitons: The Inverse Scattering Method (1502 citations)
- Modern geometry--methods and applications (867 citations)
- NON-LINEAR EQUATIONS OF KORTEWEG-DE VRIES TYPE, FINITE-ZONE LINEAR OPERATORS, AND ABELIAN VARIETIES (651 citations)

S. P. Novikov focuses on Pure mathematics, Mathematical analysis, Mathematical physics, Riemann surface and Topology. His Pure mathematics research includes elements of Discrete mathematics and Algebra. His work in Inverse scattering problem and Integrable system is related to Mathematical analysis.

S. P. Novikov works mostly in the field of Mathematical physics, limiting it down to topics relating to Poisson bracket and, in certain cases, Hamiltonian system. His Riemann surface research integrates issues from Fourier transform, Meromorphic function and Spectral theory. His biological study spans a wide range of topics, including Symplectic geometry and Magnetic field.

- Pure mathematics (22.85%)
- Mathematical analysis (21.35%)
- Mathematical physics (17.60%)

- Riemann surface (15.73%)
- Mathematical physics (17.60%)
- Spectral theory (6.74%)

Riemann surface, Mathematical physics, Spectral theory, Transport phenomena and Dynamical systems theory are his primary areas of study. His Mathematical physics research incorporates elements of Laplace transform, Pauli exclusion principle, Eigenfunction, Homogeneous space and Landau quantization. Pure mathematics covers S. P. Novikov research in Spectral theory.

S. P. Novikov usually deals with Pure mathematics and limits it to topics linked to Discrete mathematics and Algebraic number, Korteweg–de Vries equation, Rank, Commutative ring and Product. His work carried out in the field of Transport phenomena brings together such families of science as Theoretical physics, Electron, Magnetic field and Quasiperiodic function. His research investigates the link between Unimodular matrix and topics such as Mathematical analysis that cross with problems in Phase space.

- Modern Geometry-Methods and Applications(Part II. The Geometry and Topology of Manifolds) (192 citations)
- POISSON BRACKETS AND COMPLEX TORI (17 citations)
- Basic Elements of Differential Geometry and Topology (15 citations)

- Quantum mechanics
- Mathematical analysis
- Geometry

His main research concerns Pure mathematics, Discretization, Riemann surface, Integrable system and Mathematical physics. His studies deal with areas such as Discrete mathematics, Eigenfunction and Poisson algebra as well as Pure mathematics. The study incorporates disciplines such as Korteweg–de Vries equation, Order, Inverse, Algebraic number and Elliptic operator in addition to Discrete mathematics.

His Discretization research is multidisciplinary, incorporating elements of Symbolic dynamics, Algebra, Equilateral triangle, Hyperbolic geometry and Square lattice. He studied Integrable system and Euclidean geometry that intersect with Differential geometry, Riemannian geometry, Singular homology, Calculus of variations and Geodesic. His work deals with themes such as Laplace transform, Homogeneous space, Algebraic curve, Nonlinear system and Landau quantization, which intersect with Mathematical physics.

This overview was generated by a machine learning system which analysed the scientist’s body of work. If you have any feedback, you can contact us here.

Modern Geometry-Methods and Applications(Part II. The Geometry and Topology of Manifolds)

B. A Dubrovin;S. P Novikov;A. T Fomenko.

**(2010)**

3002 Citations

Modern Geometry-Methods and Applications(Part II. The Geometry and Topology of Manifolds)

B. A Dubrovin;S. P Novikov;A. T Fomenko.

**(2010)**

3002 Citations

Theory of Solitons: The Inverse Scattering Method

Sergeĭ Petrovich Novikov.

**(1984)**

2442 Citations

Theory of Solitons: The Inverse Scattering Method

Sergeĭ Petrovich Novikov.

**(1984)**

2442 Citations

Modern geometry--methods and applications

B. A. Dubrovin;S. P. Novikov;A. T. Fomenko.

**(1984)**

1445 Citations

Modern geometry--methods and applications

B. A. Dubrovin;S. P. Novikov;A. T. Fomenko.

**(1984)**

1445 Citations

NON-LINEAR EQUATIONS OF KORTEWEG-DE VRIES TYPE, FINITE-ZONE LINEAR OPERATORS, AND ABELIAN VARIETIES

B A Dubrovin;V B Matveev;S P Novikov.

Russian Mathematical Surveys **(1976)**

1015 Citations

NON-LINEAR EQUATIONS OF KORTEWEG-DE VRIES TYPE, FINITE-ZONE LINEAR OPERATORS, AND ABELIAN VARIETIES

B A Dubrovin;V B Matveev;S P Novikov.

Russian Mathematical Surveys **(1976)**

1015 Citations

The periodic problem for the Korteweg—de vries equation

S. P. Novikov.

Functional Analysis and Its Applications **(1975)**

673 Citations

The periodic problem for the Korteweg—de vries equation

S. P. Novikov.

Functional Analysis and Its Applications **(1975)**

673 Citations

Russian Mathematical Surveys

(Impact Factor: 2)

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