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A. Zotov

A. Zotov

Russian Academy of Sciences
Russian Federation

Overview

What is he best known for?

The fields of study he is best known for:

Algebra
Quantum mechanics
Mathematical analysis

His primary areas of investigation include Mathematical physics, Quantum, Gauge theory, Spin-½ and Integrable system. Mathematical physics is frequently linked to Hamiltonian in his study. His work is dedicated to discovering how Quantum, Schrödinger equation are connected with Time evolution and other disciplines.

His studies in Gauge theory integrate themes in fields like Equivalence, Eigenvalues and eigenvectors, Solid-state physics and Conjecture. His research integrates issues of Theoretical physics, Fourier transform, Action and Supersymmetric gauge theory in his study of Spin-½. The study incorporates disciplines such as Symplectic geometry and Gauge symmetry in addition to Integrable system.

His most cited work include:

Spectral Duality Between Heisenberg Chain and Gaudin Model (93 citations)
Spectral duality in integrable systems from AGT conjecture (86 citations)
Hitchin systems - symplectic Hecke correspondence and two-dimensional version (85 citations)

What are the main themes of his work throughout his whole career to date?

Andrei Zotov focuses on Mathematical physics, Integrable system, Quantum, Pure mathematics and Spin-½. His study of Gauge theory is a part of Mathematical physics. His Integrable system research is multidisciplinary, incorporating elements of Conjecture, Symplectic geometry, Gauge symmetry and Euler's formula.

His Quantum research includes elements of Theoretical physics, Associative property and Type. His Spin-½ study combines topics in areas such as Solid-state physics and Lax pair. His Matrix research includes themes of Noncommutative geometry and Unitarity.

He most often published in these fields:

Mathematical physics (141.80%)
Integrable system (110.66%)
Quantum (86.07%)

What were the highlights of his more recent work (between 2016-2021)?

Mathematical physics (141.80%)
Spin-½ (66.39%)
Integrable system (110.66%)

In recent papers he was focusing on the following fields of study:

Andrei Zotov spends much of his time researching Mathematical physics, Spin-½, Integrable system, Type and Lax pair. His research in Mathematical physics intersects with topics in Spectral line, Generalization, Quantum and Elliptic curve. His Quantum research is included under the broader classification of Quantum mechanics.

His work carried out in the field of Spin-½ brings together such families of science as Solid-state physics, R-matrix and Representation. His Integrable system study deals with the bigger picture of Pure mathematics. His study explores the link between Lax pair and topics such as Equations of motion that cross with problems in Matrix.

Between 2016 and 2021, his most popular works were:

Calogero-Moser Model and R-Matrix Identities (8 citations)
On factorized Lax pairs for classical many-body integrable systems (7 citations)
QKZ–Ruijsenaars correspondence revisited (7 citations)

In his most recent research, the most cited papers focused on:

Algebra
Quantum mechanics
Mathematical analysis

His scientific interests lie mostly in Mathematical physics, Quantum, Quantum mechanics, Limit and Quantum spin chains. His specific area of interest is Mathematical physics, where Andrei Zotov studies Integrable system. His research in Quantum intersects with topics in Associative property, Pure mathematics, Identity, Representation and Characteristic class.

His study ties his expertise on Type together with the subject of Quantum mechanics. The concepts of his Spin-½ study are interwoven with issues in Solid-state physics, Generalization and Lax pair.

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.

Best Publications

Spectral duality in integrable systems from AGT conjecture

A. Mironov;A. Morozov;Y. Zenkevich;Y. Zenkevich;A. Zotov.
Jetp Letters (2013)

113 Citations

Spectral Duality Between Heisenberg Chain and Gaudin Model

Andrei Mironov;Alexei Morozov;Boris Runov;Boris Runov;Yegor Zenkevich;Yegor Zenkevich.
Letters in Mathematical Physics (2013)

111 Citations

Hitchin systems - symplectic Hecke correspondence and two-dimensional version

Andrei M. Levin;Mikhail A. Olshanetsky;A. Zotov.
Communications in Mathematical Physics (2003)

101 Citations

Spectral dualities in XXZ spin chains and five dimensional gauge theories

A. Mironov;A. Mironov;A. Morozov;B. Runov;B. Runov;Y. Zenkevich;Y. Zenkevich.
Journal of High Energy Physics (2013)

81 Citations

Spectrum of quantum transfer matrices via classical many-body systems

A. Gorsky;A. Gorsky;A. Zabrodin;A. Zotov;A. Zotov;A. Zotov.
Journal of High Energy Physics (2014)

57 Citations

Quantum Painlevé-Calogero correspondence

A. Zabrodin;A. Zotov.
Journal of Mathematical Physics (2012)

53 Citations

Relativistic classical integrable tops and quantum R-matrices

A. Levin;M. Olshanetsky;M. Olshanetsky;A. Zotov;A. Zotov;A. Zotov.
Journal of High Energy Physics (2014)

51 Citations

Classification of isomonodromy problems on elliptic curves

A M Levin;M A Olshanetsky;A V Zotov;A V Zotov.
Russian Mathematical Surveys (2014)

48 Citations

Painlevé VI, Rigid Tops and Reflection Equation

Andrey M. Levin;Mikhail A. Olshanetsky;A. V. Zotov.
Communications in Mathematical Physics (2006)

43 Citations

Planck constant as spectral parameter in integrable systems and KZB equations

A. Levin;M. Olshanetsky;M. Olshanetsky;A. Zotov;A. Zotov;A. Zotov.
Journal of High Energy Physics (2014)

39 Citations

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Frequent Co-Authors

External Links

Personal Website for A. Zotov