2022 - Research.com Mathematics in Russia Leader Award
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.
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.
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.
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.
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Discrete versions of some classical integrable systems and factorization of matrix polynomials
Jürgen Moser;Alexander P. Veselov.
Communications in Mathematical Physics (1991)
Dressing chains and the spectral theory of the Schrödinger operator
A. P. Veselov;A. B. Shabat.
Functional Analysis and Its Applications (1993)
Integrable discrete-time systems and difference operators
A. P. Veselov.
Functional Analysis and Its Applications (1988)
Commutative rings of partial differential operators and Lie algebras
O. A. Chalykh;A. P. Veselov.
Communications in Mathematical Physics (1990)
Growth and integrability in the dynamics of mappings
Alexander P. Veselov.
Communications in Mathematical Physics (1992)
Yang–Baxter maps and integrable dynamics
Alexander Veselov;Alexander Veselov.
Physics Letters A (2003)
Two-dimensional Schro¨dinger operator: inverse scattering transform and evolutional equations
S P Novikov;A P Veselov.
Physica D: Nonlinear Phenomena (1986)
Deformed Quantum Calogero-Moser Problems and Lie Superalgebras
A.N. Sergeev;Alexander Veselov;Alexander Veselov.
Communications in Mathematical Physics (2004)
Integrable nonholonomic systems on Lie groups
A. P. Veselov;L. E. Veselova.
Mathematical Notes (1988)
New integrable deformations of the Calogero-Moser quantum problem
A P Veselov;M V Feigin;O A Chalykh.
Russian Mathematical Surveys (1996)
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