2026 S. P. Novikov: Mathematics Researcher – H-Index, Publications & Awards

Discipline name	D-Index	World Ranking	National Ranking	Publications	Citations
Mathematics	48	1178	10	311	17088

Research.com Recognitions

2026 - Research.com Mathematics in Russia Leader Award
2025 - Research.com Mathematics in Russia Leader Award
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.

Overview

S. P. Novikov is affiliated with the Russian Academy of Sciences in the Russian Federation. Their primary field of study is Mathematics, with a focus on several subfields including Mathematical Physics, Spectroscopy, Statistical and Nonlinear Physics, Astronomy and Astrophysics, and Algebra and Number Theory.

Their recent publications include the following papers:

Poisson Brackets of Hydrodynamic Type and Their Generalizations, 2021, Journal of Experimental and Theoretical Physics
Alexandre Mikhailovich Vinogradov, 2020, Russian Mathematical Surveys
Vladimir Petrovich Platonov, 2020, Russian Mathematical Surveys
Misha Shubin. 1944 -- 2020, 2020, arXiv (Cornell University)
Mikhail Aleksandrovich Shubin, 2020, Russian Mathematical Surveys

Frequent co-authors include:

V. M. Buchstaber
I. M. Krichever
Senya Shlosman
А. П. Веселов
Maxim Braverman

Novikov has often published in the following venues:

Russian Mathematical Surveys
Journal of Experimental and Theoretical Physics
arXiv (Cornell University)

Their research covers a range of topics including:

Molecular spectroscopy and chirality
Nonlinear Waves and Solitons
Quantum chaos and dynamical systems
Advanced Differential Geometry Research
Advanced Topics in Algebra
Homotopy and Cohomology in Algebraic Topology
Advanced mathematical theories

Novikov's contributions to academic literature also include book publications through the American Mathematical Society. One such book is titled Integrability, Quantization, and Geometry, published in 2021.

The scientist has received several awards, such as the Wolf Prize in Mathematics in 2005 for contributions to algebraic and differential topology and mathematical physics. In 1994, Novikov was elected as a Member of the National Academy of Sciences. Earlier distinctions include becoming a Member of Academia Europaea in 1990 and winning the Fields Medal awarded by the International Mathematical Union in 1970, recognizing advances in topology, especially regarding the topological invariance of Pontryagin classes and studies on the cohomology and homotopy of Thom spaces.

Best Publications

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

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

3011
Citations
Theory of Solitons: The Inverse Scattering Method

Sergeĭ Petrovich Novikov

2750
Citations
Modern geometry--methods and applications

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

1474
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

1051
Citations
The periodic problem for the Korteweg—de vries equation

S. P. Novikov

752
Citations
Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory

B A Dubrovin;S P Novikov

619
Citations
The Hamiltonian formalism and a many-valued analogue of Morse theory

S P Novikov

543
Citations
The Hamiltonian formalism of one-dimensional systems of hydrodynamic type and the Bogoliubov-Whitham averaging method

B. A. Dubrovin;S. P. Novikov

411
Citations
Algebras of virasoro type, riemann surfaces and structures of the theory of solitons

Igor Moiseevich Krichever;S.P. Novikov

376
Citations
Integrable Systems. I

B. A. Dubrovin;I. M. Krichever;S. P. Novikov

368
Citations
HOLOMORPHIC BUNDLES OVER ALGEBRAIC CURVES AND NON-LINEAR EQUATIONS

I M Krichever;S P Novikov

363
Citations
THE METHODS OF ALGEBRAIC TOPOLOGY FROM THE VIEWPOINT OF COBORDISM THEORY

S P Novikov

359
Citations
Modern Geometry - Methods and Applications Part I: The Geometry of Surfaces, Transformation Groups, and Fields

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

270
Citations
VIRASORO-TYPE ALGEBRAS, RIEMANN SURFACES AND STRINGS IN MINKOWSKY SPACE

I. M. Krichever;S. P. Novikov

250
Citations
Poisson brackets of hydrodynamic type

B. A. Dubrovin;S. P. Novikov

230
Citations
Two-dimensional Schro¨dinger operator: inverse scattering transform and evolutional equations

S P Novikov;A P Veselov

186
Citations
On the local systems Hamiltonian in the weakly non-local Poission brackets

A. Ya. Maltsev;A. Ya. Maltsev;S. P. Novikov;S. P. Novikov

168
Citations
Two-dimensional “inverse scattering problem” for negative energies and generalized-analytic functions. I. Energies below the ground state

P. G. Grinevich;S. P. Novikov

142
Citations
PERIODIC AND CONDITIONALLY PERIODIC ANALOGS OF THE MANY-SOLITON SOLUTIONS OF THE KORTEWEG-DE VRIES EQUATION

B. A. Dubrovin;S. P. Novikov

139
Citations
MULTIVALUED FUNCTIONS AND FUNCTIONALS. AN ANALOGUE OF THE MORSE THEORY

S. P. Novikov;I. LetM

136
Citations
The geometry of surfaces, transformation groups, and fields

B. A. Dubrovin;Anatoliĭ Timofeevich Fomenko;Sergeĭ Petrovich Novikov;Robert G. Burns

11
Citations

Frequent Co-Authors

Boris Dubrovin International School for Advanced Studies

Anatoliĭ Timofeevich Fomenko Lomonosov Moscow State University

Igor Moiseevich Krichever Columbia University

Vladimir I. Arnold Russian Academy of Sciences

Yakov G. Sinai Princeton University

Yuri I. Manin Max Planck Institute for Mathematics

Vladimir E. Zakharov Landau Institute for Theoretical Physics

Alexander P. Veselov Loughborough University

Albert N. Shiryaev Steklov Mathematical Institute

Vladimir E. Fortov Russian Academy of Sciences

External Links

Wikipedia of S. P. Novikov Personal website of S. P. Novikov

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