D-Index & Metrics Best Publications

D-Index & Metrics 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.

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
Physics D-index 72 Citations 12,582 162 World Ranking 2923 National Ranking 13

Overview

What is he best known for?

The fields of study he is best known for:

  • Quantum mechanics
  • Algebra
  • Mathematical analysis

Pure mathematics, Matrix, Mathematical physics, Supersymmetry and Gauge theory are his primary areas of study. The Pure mathematics study combines topics in areas such as Conformal map, Unitary matrix and Quantum mechanics. His Matrix research incorporates themes from Partition function, Hierarchy, Partition function, Simple and Hermitian matrix.

His study focuses on the intersection of Mathematical physics and fields such as Field with connections in the field of Coupling, Asymptotic formula, Charge, Scalar field and Homogeneous space. His research investigates the link between Supersymmetry and topics such as Instanton that cross with problems in Integrable system, Quantum chromodynamics, String theory and Seiberg–Witten theory. His work in the fields of Gauge theory, such as Supersymmetric gauge theory, overlaps with other areas such as Elliptic systems.

His most cited work include:

  • Integrability and Seiberg-Witten exact solution (558 citations)
  • On AGT relation in the case of U(3) (327 citations)
  • Nekrasov functions and exact Bohr-Sommerfeld integrals (317 citations)

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

A. D. Mironov mostly deals with Pure mathematics, Mathematical physics, Matrix, Integrable system and Quantum mechanics. His Pure mathematics research integrates issues from Conformal map, Simple, Eigenvalues and eigenvectors and Partition function. A. D. Mironov interconnects Function, Partition function, Quantum electrodynamics and Moduli space in the investigation of issues within Mathematical physics.

His biological study spans a wide range of topics, including Type, Degree, Limit, Gaussian and Hermitian matrix. His study in Integrable system is interdisciplinary in nature, drawing from both Chain, Theoretical physics, Quantum chromodynamics, Spin chain and Gauge theory. His studies deal with areas such as Instanton and Riemann surface as well as Supersymmetry.

He most often published in these fields:

  • Pure mathematics (59.21%)
  • Mathematical physics (31.14%)
  • Matrix (27.63%)

What were the highlights of his more recent work (between 2013-2021)?

  • Pure mathematics (59.21%)
  • Matrix (27.63%)
  • Knot theory (8.33%)

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

His main research concerns Pure mathematics, Matrix, Knot theory, Knot and Eigenvalues and eigenvectors. His primary area of study in Pure mathematics is in the field of Hermitian matrix. His Matrix study combines topics in areas such as Hypergeometric distribution, Type, Degree, Fourier transform and Limit.

His research in the fields of Skein relation and Quantum invariant overlaps with other disciplines such as Matrix model. His Eigenvalues and eigenvectors research integrates issues from Ring, Permutation, Quantum group and Yang–Baxter equation. His Gaussian study incorporates themes from Partition function and Integrable system.

Between 2013 and 2021, his most popular works were:

  • Ding–Iohara–Miki symmetry of network matrix models (111 citations)
  • Colored knot polynomials for arbitrary pretzel knots and links (73 citations)
  • Colored knot polynomials for arbitrary pretzel knots and links (73 citations)

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

  • Quantum mechanics
  • Mathematical analysis
  • Algebra

A. D. Mironov spends much of his time researching Pure mathematics, Knot theory, Knot, Skein relation and Quantum invariant. A. D. Mironov combines subjects such as Simple, Matrix model, Knot and Gauge theory with his study of Pure mathematics. His study looks at the intersection of Matrix model and topics like Algebra over a field with Matrix.

His work on Torus knot as part of general Knot theory study is frequently connected to Colored, Torus, Type and Measure, therefore bridging the gap between diverse disciplines of science and establishing a new relationship between them. As part of the same scientific family, A. D. Mironov usually focuses on Skein relation, concentrating on Knot invariant and intersecting with Jones polynomial. His Gaussian research focuses on Tensor and how it relates to Mathematical physics.

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

Integrability and Seiberg-Witten exact solution

A. Gorsky;I. Krichever;A. Marshakov;A. Mironov.
Physics Letters B (1995)

635 Citations

On AGT relation in the case of U(3)

A. Mironov;A. Morozov.
Nuclear Physics (2010)

496 Citations

Nekrasov functions and exact Bohr-Sommerfeld integrals

A. Mironov;A. Morozov.
Journal of High Energy Physics (2010)

413 Citations

On non-conformal limit of the AGT relations

A. Marshakov;A. Marshakov;A. Mironov;A. Mironov;A. Morozov.
Physics Letters B (2009)

327 Citations

Matrix models of two-dimensional gravity and Toda theory

A. Gerasimov;A. Marshakov;A. Mironov;A. Morozov.
Nuclear Physics (1991)

307 Citations

Superpolynomials for toric knots from evolution induced by cut-and-join operators

P. Dunin-Barkowski;A. Mironov;A. Morozov;A. Sleptsov.
arXiv: High Energy Physics - Theory (2011)

304 Citations

Complete Set of Cut-and-Join Operators in Hurwitz-Kontsevich Theory

A.Mironov;A.Morozov;S.Natanzon.
arXiv: High Energy Physics - Theory (2009)

253 Citations

PARTITION FUNCTIONS OF MATRIX MODELS: FIRST SPECIAL FUNCTIONS OF STRING THEORY

A.S. Alexandrov;A. Morozov;A. Mironov.
International Journal of Modern Physics A (2004)

244 Citations

The Power of Nekrasov Functions

A. Mironov;A. Morozov.
Physics Letters B (2009)

223 Citations

Partition Functions of Matrix Models as the First Special Functions of String Theory I. Finite Size Hermitean 1-Matrix Model

A. Alexandrov;A. Mironov;A. Morozov.
arXiv: High Energy Physics - Theory (2003)

222 Citations

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