What is he best known for?
The fields of study he is best known for:
- 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.
His most cited work include:
- 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)
What are the main themes of his work throughout his whole career to date?
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.
He most often published in these fields:
- Pure mathematics (22.85%)
- Mathematical analysis (21.35%)
- Mathematical physics (17.60%)
What were the highlights of his more recent work (between 2008-2020)?
- Riemann surface (15.73%)
- Mathematical physics (17.60%)
- Spectral theory (6.74%)
In recent papers he was focusing on the following fields of study:
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.
Between 2008 and 2020, his most popular works were:
- 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)
In his most recent research, the most cited papers focused on:
- 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.
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