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- Alexander P. Veselov

Mathematics

Russia

2022

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
39
Citations
6,170
155
World Ranking
1484
National Ranking
108

2022 - Research.com Mathematics in Russia Leader Award

- Mathematical analysis
- Algebra
- Quantum mechanics

Alexander P. Veselov mostly deals with Pure mathematics, Integrable system, Quantum, Mathematical analysis and Algebra. His biological study spans a wide range of topics, including Korteweg–de Vries equation and Matrix. His Integrable system study is focused on Mathematical physics in general.

His study in the fields of Schrödinger's cat under the domain of Mathematical physics overlaps with other disciplines such as Dirac. He interconnects Jack function, Invariant and Affine transformation in the investigation of issues within Quantum. His Mathematical analysis study combines topics in areas such as Period and Constant.

- Discrete versions of some classical integrable systems and factorization of matrix polynomials (484 citations)
- Dressing chains and the spectral theory of the Schrödinger operator (249 citations)
- Integrable discrete-time systems and difference operators (224 citations)

His primary areas of study are Pure mathematics, Integrable system, Mathematical physics, Algebra and Mathematical analysis. The various areas that he examines in his Pure mathematics study include Simple, Quantum and Hyperplane. His studies in Quantum integrate themes in fields like Symmetric function, Infinity, Poincaré series and Representation theory.

His studies examine the connections between Integrable system and genetics, as well as such issues in Korteweg–de Vries equation, with regards to Matrix. Alexander P. Veselov studied Mathematical physics and Magnetic monopole that intersect with Dirac. His Algebra research is multidisciplinary, incorporating perspectives in Orthogonal polynomials and Classical orthogonal polynomials.

- Pure mathematics (77.07%)
- Integrable system (27.44%)
- Mathematical physics (25.94%)

- Pure mathematics (77.07%)
- Combinatorics (19.55%)
- Coxeter group (19.55%)

Alexander P. Veselov mainly investigates Pure mathematics, Combinatorics, Coxeter group, Hyperplane and Quantum. His Pure mathematics study combines topics from a wide range of disciplines, such as Simple and Algebra. His work on Affine action and Polynomial as part of general Algebra study is frequently linked to Set, bridging the gap between disciplines.

His Combinatorics research incorporates elements of Function, Lambda, Lyapunov exponent and Path. His study in Coxeter group is interdisciplinary in nature, drawing from both Invariant and Hermite polynomials. His Quantum research includes themes of Integrable system, Dirac, Mathematical physics, Magnetic field and Magnetic monopole.

- Dunkl operators at infinity and Calogero-Moser systems (22 citations)
- Dunkl operators at infinity and Calogero-Moser systems (22 citations)
- Jacobi-Trudy formula for generalized Schur polynomials (19 citations)

- Mathematical analysis
- Algebra
- Quantum mechanics

His scientific interests lie mostly in Pure mathematics, Combinatorics, Quantum, Simple and Holonomy. His studies deal with areas such as Matrix and Action as well as Pure mathematics. Alexander P. Veselov has included themes like Structure, Separation of variables and Moduli space in his Combinatorics study.

His work carried out in the field of Quantum brings together such families of science as Bijection, Representation theory, Symmetric pair, Algebra over a field and Special case. His Simple research is multidisciplinary, relying on both Infinity, Number theory and Operations research. His Holonomy study integrates concerns from other disciplines, such as Lie algebra, Logarithm, Conjecture, Hyperplane and Coxeter group.

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.

Discrete versions of some classical integrable systems and factorization of matrix polynomials

Jürgen Moser;Alexander P. Veselov.

Communications in Mathematical Physics **(1991)**

764 Citations

Dressing chains and the spectral theory of the Schrödinger operator

A. P. Veselov;A. B. Shabat.

Functional Analysis and Its Applications **(1993)**

366 Citations

Integrable discrete-time systems and difference operators

A. P. Veselov.

Functional Analysis and Its Applications **(1988)**

354 Citations

Commutative rings of partial differential operators and Lie algebras

O. A. Chalykh;A. P. Veselov.

Communications in Mathematical Physics **(1990)**

237 Citations

Growth and integrability in the dynamics of mappings

Alexander P. Veselov.

Communications in Mathematical Physics **(1992)**

223 Citations

Yang–Baxter maps and integrable dynamics

Alexander Veselov;Alexander Veselov.

Physics Letters A **(2003)**

212 Citations

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

S P Novikov;A P Veselov.

Physica D: Nonlinear Phenomena **(1986)**

183 Citations

Deformed Quantum Calogero-Moser Problems and Lie Superalgebras

A.N. Sergeev;Alexander Veselov;Alexander Veselov.

Communications in Mathematical Physics **(2004)**

151 Citations

Integrable nonholonomic systems on Lie groups

A. P. Veselov;L. E. Veselova.

Mathematical Notes **(1988)**

127 Citations

New integrable deformations of the Calogero-Moser quantum problem

A P Veselov;M V Feigin;O A Chalykh.

Russian Mathematical Surveys **(1996)**

106 Citations

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